Answer is 7/3 cups.
To determine the amount of raisins needed for the snack mix, subtract 3 5/12 cups from 5 3/4 cups of cereal.
First, convert the mixed numbers to improper fractions:
5 3/4 = (5 × 4 + 3)/4 = 23/4
3 5/12 = (3 × 12 + 5)/12 = 41/12
Next, subtract the two fractions:
23/4 - 41/12
To subtract, find a common denominator. The least common multiple of 4 and 12 is 12. Convert both fractions to equivalent fractions with a denominator of 12:
(23/4) × (3/3) = 69/12
(41/12) × (1/1) = 41/12
Now, subtract the fractions:
69/12 - 41/12 = 28/12
Finally, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (4):
28/12 = (28 ÷ 4)/(12 ÷ 4) = 7/3
So, you need 7/3 cups of raisins for the snack mix.
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According to these three facts, which statements are true? Circle D has center (2, 3) and radius 7. Circle F is a translation of circle D, 2 units right. Circle F is a dilation of circle D with a scale factor of 4. Select each correct answer. Responses Circle F and circle D are similar. Circle , F, and circle , D, are similar. The radius of circle F is 28. The radius of circle , F, is 28. The center of circle F is (0, 3). The center of circle , F, is , begin ordered pair 0 comma 3 end ordered pair,. Circle F and circle D are congruent. Circle , F, and circle , D, are congruent
Answer:
The answer to your problem is:
The radius of circle F is 28.
Circle F and circle D are similar.
Step-by-step explanation:
How to find the radius:
A = π × [tex]r^{2}[/tex]
But the radius of a circle from diameter. If you can recall the diameter d, the radius is r = d / 2.
By looking at our facts we can actually see ( if we use the comparing method ) that the circles, F & D are very much similar.
Thus the answer to your problem is:
The radius of circle F is 28.
Circle F and circle D are similar.
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
A.
g(7) = -1
B.
g(0) = 2
C.
g(-13) = 20
D.
g(-4) = -11
The option that can be true for the function g(x) is C; g(-13) = 20
Which statement could be true?Here we know that the function g(x) has:
The domain ---> -20 ≤ x ≤ 5
The range ---> -5 ≤ g(x) ≤ 45
And g(0) = -2
g(-9) = 6
There are two statements that could be true:
g(-13) = 20, because -13 belongs to the domain and 20 belongs to the range.
g(0) = 2 could also be true.
Now, we can see that g(-9) > g(0), then as x becomes smaller, g increases, then the option that seems to be correct is g(-13) = 20
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SIMPLIFYYY THIS EXPRESSION
Answer:
x - 5y
Step-by-step explanation:
6x - 8y - 5x + 3y =
= 6x - 5x - 8y + 3y
= x - 5y
Answer:
1x + 11y
Step-by-step explanation:
A family spends $550 every month on food. if the family's income is $2,200 each month, what percent of the income is spent on food?
The percentage of the family's income that is spent on food is 25%.
Firstly, noting down the family's monthly spend on food ($550) and their total monthly income ($2,200).
Next, dividing the amount spent on food by the total income to find the ratio of the spend to income: $550 / $2,200.
Now, calculating this division: 550 ÷ 2,200 = 0.25.
Finally, finding the percentage, multiply the ratio (0.25) by 100: 0.25 x 100 = 25%.
So, the family spends 25% of their monthly income on food.
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70% of a class is at lunch what percentage is still studying?
Answer:
30%
Step-by-step explanation:
If there are only 2 categories:
Students at lunch and students studying, then the whole is 100%
100% - 70% = 30%
Helping in the name of Jesus.
Determine the equation of the line that passes through the point ( 3,-1/2) and is perpendicular to the line y =-2x+3
The equation for the line that passes through the point ( 3,-1/2) and is perpendicular to the line y =-2x+3 is:
y = (1/2)*x - 2
How to find the equation of the line?Remember that two linear equations are perpendicular if the product between the slopes is -1, here we want a line perpendicular to:
y =-2x+3
Then if the slope of our line is a, we must have that:
a*-2 = -1
a = 1/2
Then our line is something like:
y = (1/2)x + b
Now we also want our line to pass through (3, -1/2), then:
-1/2 = (1/2)*3 + b
-1/2 = 3/2 + b
-1/2 - 3/2 = b
-2 = b
The linear equation is:
y = (1/2)*x - 2
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Mark invests $5,000 and earns $375 in simple interest over a 3 year period. What was the interest rate on the investment? answer is 2.5%
Ifj is inversely related to the cube of k, and j = 3 when k is 6, which of the following is another possible value for j and K?
(A) j = 18, k = 2
(B) j=6, k = 3
(C) j=81, k = 2
(D) j = 2, k = 81
(E) j = 3, k=2
Another possible value for j and K is (A) j = 18, k = 2
How to determine the valuesNote that in inverse variation, one of the variables increases while the other decreases.
From the information given, we have that;
j is inversely related to the cube of k,
This is represented as;
j ∝ 1/k³
Now, find the constant of variation
K = jk³
Substitute the vales
K = 3 × 6³
find the cube value
K = 648
Then, we have that;
j = 648 / 2³ = 81
For option B:
j = 648 / 3³ = 24
For option C:
j = 648 / 2³ = 81
For option D:
j = 648 / 81³ = 0.0008
For option E:
j = 648 / 2³ = 81
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I’m giving 10 points.
Answer:
12
Step-by-step explanation:
-3(b - 5) + 7a - (9 - a) ^6 a = 7 and b = -4
-3(-4 - 5) + 7(7) - (9 - 7)^6
= -3(-9) + 49 - (2)^6
= 27 + 49 - (64)
= 27 + 49 - 64
= 76 - 64
= 12
at a local farmers market a farmer pays $10 to rent a stall and $7 for every hour he stays there. if he pays $45 on saturday how many hours did he stay at the market
Answer: 5
Step-by-step explanation:
10 + 7h = 45
-10 -10
7h = 35
divide by 7 to both sides
h = 5
In May, the cost for a child is not changed. The cost for an adult is reduced by p % to $22.10. (i) Calculate p.
The cost for an adult is reduced by approximately 26.33% to $22.10.
How to solveThe original cost for an adult ticket (X) = $30
The reduced cost for an adult ticket = $22.10
We need to find the percentage decrease (p) from the original cost to the reduced cost:
p = ((Original cost - Reduced cost) / Original cost) * 100
p = (($30 - $22.10) / $30) * 100
p = ($7.90 / $30) * 100
p ≈ 26.33 %
The fee for an adult has notably decreased by approximately 26.33%, now costing a mere $22.10.
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In May, the cost for a child is not changed. The cost for an adult is reduced by p % to $22.10. If the original cost of an adult ticket is $X, (i) calculate p, given that the original cost for an adult ticket is $30.
PLS HELP ME FAST!!!
Write an expression for the sequence of operations described below. Subtract 5 from 7, then divide 3 by the result.Type x if you want to use a multiplication sign. Type / if you want to use a division sign. Do not simplify any part of the expression.
Answer:
3 / (7-5)
Step-by-step explanation:
"Subtract 5 from 7"
When you're subtracting from something, the reverse the order of the numbers. So, the expression here would be "7 - 5"
"Then, divide 3 by the result."
Here, you're dividing 3 by the result, so the 3 must be in the numerator (on top of the fraction), and the "result from the previous step must be in the denominator (on the bottom of the fraction). So, the expression here would be "3 / result"
Since order of operations forces division to happen before subtraction, we'll need parentheses around the first result to force the subtraction to happen first, as instructed.
So, the final expression would be "3 / (7-5)"
THIS IS 50 POINTS. This is your opportunity to show a higher level of thinking skills. The challenge is for you to create your own polynomials following the required conditions. Each of your polynomials must include all work showing how you created your final solution. Write each polynomial in two equivalent forms: standard form (ax2 + bx + c) and factored form.
1. Create a polynomial whose GCF is 2x.
2. Create a polynomial with a factor of (x + 1).
3. Create a polynomial with a factor of (2y - 3x).
4. Create a polynomial that is a difference of perfect squares.
5. Create a trinomial with a factor of (y + 4) and a GCF of 3y
A polynomial whose GCF is 2x is 2x(x² + 2x + 3), a polynomial with a factor of (x + 1) is x = (-1 ± sqrt(-3))/2, a polynomial with a factor of (2y - 3x) is -3x(2y² + 1) + 5, a polynomial that is a difference of perfect squares is (4x + 3y)(4x - 3y), and a trinomial with a factor of (y + 4) and a GCF of 3y is (3y + 4x)(y + 4).
1. To create a polynomial whose GCF is 2x, we can start by choosing two terms that have 2x as a common factor. For example, 2x³ and 4x². To make it a polynomial, we can add another term, say 6x. The polynomial in standard form is:
2x³ + 4x² + 6x
To write it in factored form, we can factor out 2x from all terms:
2x(x² + 2x + 3)
2. To create a polynomial with a factor of (x + 1), we can start by choosing two terms that multiply to x², such as x and x. To make it a trinomial with (x + 1) as a factor, we can add another term, such as 1. The polynomial in standard form is:
x² + x + 1
To write it in factored form, we can use the quadratic formula to find the roots:
x = (-1 ± sqrt(1 - 4))/2
x = (-1 ± sqrt(-3))/2
Since the roots are complex, the polynomial cannot be factored further over the real numbers.
3. To create a polynomial with a factor of (2y - 3x), we can start by multiplying two terms that have 2y and 3x as coefficients, respectively. For example, 2y² and -3x. To make it a polynomial, we can add another term, say 5. The polynomial in standard form is:
-6xy² - 3x + 5
To write it in factored form, we can factor out -3x from the first two terms:
-3x(2y² + 1) + 5
4. To create a polynomial that is a difference of perfect squares, we can start by choosing two terms that are perfect squares and have a subtraction sign between them. For example, 16x² and 9y². The polynomial in standard form is:
16x² - 9y²
To write it in factored form, we can use the difference of squares formula:
(4x + 3y)(4x - 3y)
5. To create a trinomial with a factor of (y + 4) and a GCF of 3y, we can start by multiplying two terms that have 3y as a common factor. For example, 3y and 4x. To make it a trinomial with (y + 4) as a factor, we can add another term, say 12. The polynomial in standard form is:
12y + 3y² + 12 + 4xy
To write it in factored form, we can factor out the GCF 3y from the first two terms and factor out (y + 4) from the last two terms:
3y(y + 4) + 4x(y + 4)
(3y + 4x)(y + 4)
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PLEASEEEEEE HELP ME!!!!!
VERY IMPORTANT!!!!
Amelie spins the following spinner, which has 10
equally sized spaces numbered 1
through 10. The numbers 1 and 7 are colored blue; the numbers 2, 4, and 6 are red; and the numbers 3, 5, 8, 9, and 10 are green. What is the probability that Amelie spins either an odd number or a red number?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
4/5
Step-by-step explanation:
In probability, if there are two events and "or" is used, we will add the probabilities of each event. Since the event that an odd number is spun does not affect whether a red number is spun, we can calculate the probability of each event separately:
Probability of spinning an odd number:
5/10 because there are 5 odd numbers possible & 10 outcomes
Probability of spinning a red number:
3/10 because there are 3 red numbers & 10 outcomes
Now add the probability of each event:
5/10 + 3/10 = 8/10 = 4/5
Question 5
Not yet answered
An ice-cream parlor used a scatterplot to record their total sales, in dollars, each day (s) and
the corresponding average temperature, in ºf, on that day (t). They then found a trend line of
this data to be s = 12. 75t + 32. What is the predicted total sales the ice-cream parlor makes
if the average temperature of the day is 72°f?
Marked out of
1. 00
P Flag question
O a.
$950. 00
O b. $820. 00
O c. $1,275. 00
O d. $740. 00
The predicted total sales for the ice-cream parlor when the average temperature is 72°F is $950.00.
You are asked to find the predicted total sales (s) for the ice-cream parlor when the average temperature (t) is 72°F, using the trend line equation s = 12.75t + 32.
Step 1: Plug the given temperature (72°F) into the trend line equation:
s = 12.75(72) + 32
Step 2: Calculate the value of 12.75(72):
12.75 * 72 = 918
Step 3: Add 32 to the result from Step 2:
918 + 32 = 950
So, the predicted total sales for the ice-cream parlor when the average temperature is 72°F is $950.00. Therefore, the correct answer is (a) $950.00.
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A bicycle mechanic wants to put a strip of plastic between the tube and tire of a 26-in. diameter bicycle tire. to the nearest inch, how long should the strip of plastic be?
The bicycle mechanic should cut a strip of plastic approximately 82 inches long to place between the tube and tire of the 26-inch diameter bicycle tire.
To calculate the length of the strip of plastic needed, we first need to determine the circumference of the tire. The formula for the circumference of a circle is C=2πr, where C is the circumference, π is approximately 3.14, and r is the radius of the circle.
In this case, the tire diameter is 26 inches, so the radius is 13 inches (half of the diameter). Therefore, the circumference of the tire is: C = 2πr = 2π(13) = 81.64 inches (rounded to two decimal places)
To ensure that the strip of plastic fits snugly between the tube and tire, it should be the same length as the circumference of the tire. Therefore, the strip of plastic should be 82 inches long (rounded to the nearest inch).
In summary, the bicycle mechanic should cut a strip of plastic that is 82 inches long to fit between the tube and tire of the 26-inch diameter bicycle tire.
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Pythagorean theorem
I need help with my math
The height of the flagpole is 26.0 feet.
What is height?
Height is the vertical distance between two points.
To calculate the height of the flagpole, we use the formula below.
Formula:
h = √(l²-d²)............... Equation 1Where:
h = Height of the flagpolel = Length of the wired = Distance of the wire from the ground to the base of the poleFrom the question,
Given:
l = 300 feetd = 15 feetSubstitute these values into equation 1
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Which figure is a dilation of figure A?
The line passes through the same point on figure A and D.
From the figure, we have the original shape to be figure E
The center point of figure E is the origin
This means that a line drawn from the origin that passes through point A must pass through the same point on the shape
From the figure, the line passes through the same point on figure A and D.
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The mean of the data set below is 11. What is the value of x? Explain.
12, 9, 12.5, 13, x, 10, 11, 11, 7, 9
From the given data 11 is the mean of the data set.
What is Mean ?
In statistics, the mean (also called the average) is a measure of central tendency that represents the typical value in a data set. It is calculated by adding up all the values in the data set and dividing by the number of values.
To find the value of x in the data set, we can use the formula for the mean (also called the average). The mean is calculated by adding up all the values in the data set and dividing by the number of values. In other words:
mean = (sum of all values) : (number of values)
We are given that the mean of the data set is 11, so we can write:
11 = (12 + 9 + 12.5 + 13 + x + 10 + 11 + 11 + 7 + 9) : 10
Here, we have 10 values in the data set (including the unknown value x), so we divide the sum of all the values by 10 to find the mean.
To solve for x, we can start by simplifying the right-hand side of the equation:
110 = 75.5 + x
Next, we can isolate x by subtracting 75.5 from both sides:
x = 34.5
Therefore, the value of x that makes the mean of the data set equal to 11 is x = 34.5.
In other words, if we replace the unknown value x with 34.5, the resulting data set will have a mean of 11. This means that the sum of all the values in the data set will be 110, since:
12 + 9 + 12.5 + 13 + 34.5 + 10 + 11 + 11 + 7 + 9 = 110
And when we divide this sum by 10, we get:
110 : 10 = 11
Therefore, From the given data 11 is the mean of the data set.
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Will mark brainliest if correct
Step-by-step explanation:
See image for calculations:
(Note that interior angle + exterior angle = 180 degrees)
AND sum of exterior angles = 360 that is where the first formula comes from.
|x-6|=-10
thanks in advance
Answer:
I guess you need the value of (x) if that's so then
x= -4
Step-by-step explanation:
Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each going to randomly choose from either 1\text{ p. M. }1 p. M. 1, start text, space, p, point, m, point, end text, 2\text{ p. M. }2 p. M. 2, start text, space, p, point, m, point, end text, 3\text{ p. M. }3 p. M. 3, start text, space, p, point, m, point, end text, or 4\text{ p. M. }4 p. M. 4, start text, space, p, point, m, point, end text to show up at Sally's Restaurant. They must both choose exactly the same time in order to meet. Bob has a "buy one entree, get one entree free" coupon that he can only use if he meets up with Anna. If he successfully meets with Anna, Bob's lunch will cost him \$5$5dollar sign, 5. If they do not meet, Bob's lunch will cost him \$10$10dollar sign, 10. What is the expected cost of Bob's lunch?
The expected cost of Bob's lunch is $8.75.
To find the expected cost of Bob's lunch, we need to determine the probability that Bob and Anna will meet at Sally's Restaurant at the same time.
There are 4 possible times for Bob and Anna to choose from: 1 PM, 2 PM, 3 PM, and 4 PM. Since they are choosing randomly, the probability of them both choosing the same time is 1/4 (one out of four choices).
Now we can calculate the expected cost of Bob's lunch. If they meet successfully, Bob's lunch will cost $5. If they do not meet, Bob's lunch will cost $10. We can find the expected cost by multiplying the probability of each outcome by its corresponding cost, and then adding these products together.
Expected cost = (Probability of meeting) * (Cost if they meet) + (Probability of not meeting) * (Cost if they don't meet)
Expected cost = (1/4) * $5 + (3/4) * $10
Expected cost = $1.25 + $7.50
Expected cost = $8.75
The expected cost of Bob's lunch is $8.75.
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The probability of an event is given. Find the odds in favor of the event.
0. 5
The odds in favor of the event are 1.
The probability of an event is the ratio between the total number of favorable outcomes and the total number of outcomes.
The odds in favor of an event are the ratio of the total number of favorable outcomes and the total number of unfavorable outcomes. If the probability of the event is given, we can find the odds in favor by using the formula of odds in favor:
odds in favor = probability of event/probability of not event
In this case question, the probability of an event is given as 0.5 which means that the total number of favorable outcomes is 50 out of 100
So the probability of not having an event is also 0.5 (the other half of the part.)
So, odds in favor = 0.5/0.5 = 1
The probability of the happening of an event is the same as the probability of not happening of an event. This means that the odds in favor of the event are 1 to 1, or simply 1.
Therefore, the odds in favor of the event are 1.
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How many 1/4 cm cubes fit inside the prism below
55 cubes I think because in the end you have to like divide it 2 times.
Answer: 110 cubes
Step-by-step explanation:
First, we will find the volume of this prism.
V = LWH
V = (2.75 cm)(0.5 cm)(1.25 cm)
V = 1.71875 cm³
Next, we will find the volume of the cube.
V = L³
V = (0.25 cm)³
V = 0.015625 cm³
Next, we will divide the prism's volume by the cube's volume.
1.71875 cm³ / 0.015625 cm³ = 110 cubes
PLEASE HELP WILL GIVE BRAINLEST !!!!
Lorena es una estudiante que utiliza una red social cada 8 días. Su amigo Luis accede cada 6 días y su hermana Alexa ingresa cada 10 días. Si ellos coincidieron en su visita a esta red social el día 24 de julio
The next time they will coincide is on November 21. when Lorena uses a social network every 8 days, Luis logs in every 6 days, and his sister and Alexa log in every 10 days.
To find the time when all three coincided, we need to find the least common multiple (LCM) of 6, 8, and 10. The LCM of 6, 8, and 10 is given as,
6 8 10 | 2
3 4 5 | 3
1 4 5 | 4
1 1 5 | 5
1 1 1
LCM = 2 × 3 × 4 × 5 = 120
if they coincided on July 24, To find the time when all three coincided we need to add 120 days to July 24 to find the next time they will coincide. if we add 120 days to July 24 we will get the result as November 21.
Therefore, The next time they will coincide is on November 21.
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The question is,
Lorena is a student who uses a social network every 8 days. His friend Luis logs in every 6 days and his sister Alexa logs in every 10 days. If they coincided with their visit to this social network on July 24 when will they coincide next time?
Kaylie put $900 in a savings account, earning 11% interest for 7 years. she did not make any additional deposits or withdrawals. what is the amount of interest kaylie earned?
Kaylie earned $693 in interest on her savings account.
What was the total amount of money Kaylie had in her savings account after 7 years of depositing $900 and earning 11% interest on it?Kaylie deposited $900 in a savings account and earned 11% interest on it for 7 years. After the 7-year period, Kaylie earned $693 in interest, which was compounded annually.
This brought the total amount of money in her savings account to $1,593. The power of compounding interest in savings accounts can help grow your money significantly over time.
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2 Tom Milk his cow and got 2 litres of Milk He gave Kevin 350 ml and Sold 500m to Bob. How much milk is left?
The amount of milk left is given by A = 1.150 Liters of milk = 1150 mL
Given data ,
Let the total amount of milk be = 2 Liters = 2000 mL
Now , Tom gave Kevin 350 ml and Sold 500mL to Bob
So , the remaining amount of milk is given by A
where A = total amount of milk - 350mL - 500mL
On simplifying the equation , we get
A = 2000 - 350 - 500
A = 1150 mL
Hence , the amount of milk left is 1150 mL
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The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the
cost of each.
Answer:
Let's solve this problem using algebra. Let x be the cost of one orange and y be the cost of one apple. Then we have the system of equations:
12x + 7y = 5.36
8x + 5y = 3.68
To solve for x and y, we can use elimination. Multiplying the second equation by 3 and subtracting it from the first equation multiplied by 5, we get:
(5*12 - 7*8)x + (5*7 - 3*5)y = 26.8 - 11.04
20x = 15.76
x = 0.788
Substituting x back into one of the equations, we can solve for y:
12(0.788) + 7y = 5.36
y = 0.308
Therefore, one orange costs $0.788 and one apple costs $0.308.
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LOOK AT SCREENSHOT!!!
What is the value of x in degrees?
Please show work if you can!
Answer: 72
Step-by-step explanation:
Q is same as M = 72
N=36
L=x
All 3 angles of a triangle add to 180
72+36+x=180
x=72