Answer:
9374
Step-by-step explanation:
First add Saturday and Sunday totals (9681+8905)=18586
then subtract Friday's total from this number (18586-9212)=9374
hey guys whats expand 3(x + 4)
Answer:
3x + 12
Step-by-step explanation:
3(x + 4)
3x + 12
So, the expand is 3x + 12
Answer:
3x + 12
Step-by-step explanation:
You multiply the outside of the perentheses by everything inside, and 3(x) + 3(4) = 3x + 12
Need A B C and domain and the range.
Answer:
A=1 B=2 C=3 Domain: [2, infinity) Range: (neg. infinity, 3]
Step-by-step explanation:
a is rate B is Horitzontal shift C is vertical shift
>Y. Write exponential functions: word problems LZW
Dr. Powell is a veterinarian. He gave Ruby, one of the cats he is treating, 40 micrograms of
medication. Based on Ruby's size, Dr. Powell expects there will be about 32 micrograms of
medication remaining in her body after one hour. Dr. Powell knows that the amount of
medication remaining in Ruby's body will continue decreasing each hour.
Write an exponential equation in the form y = a(b)* that can model the amount of medication
in Ruby's body, y, x hours after it was administered.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y
DO
(0)
To the nearest whole number, how many micrograms of medication can Dr. Powell expect to
be remaining in Ruby's body after 4 hours?
micrograms
Rounding to the nearest whole number, Dr. Powell can expect about 16 micrograms of medication to be remaining in Ruby's body after 4 hours.
What is equation?In mathematics, an equation is a statement that two expressions are equal. It typically consists of two sides, a left-hand side and a right-hand side, separated by an equal sign (=). Equations are used to represent relationships between variables or to solve for unknown values. They are an important tool in algebra, calculus, and other areas of mathematics and science.
Here,
The exponential equation in the form y = a(b)^x that can model the amount of medication in Ruby's body, y, x hours after it was administered is:
y = 40(0.8)ˣ
where:
a = 40, the initial amount of medication given to Ruby
b = 0.8, the factor by which the medication decreases each hour
To find the amount of medication remaining in Ruby's body after 4 hours, we can substitute x = 4 into the equation and evaluate:
y = 40(0.8)⁴
y = 40(0.4096)
y = 16.384
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Help asap first answer will get brainliest
Answer:
C. 13,200 mm²
Step-by-step explanation:
Split the irregular shape.2 triangles and a rectangleFind the areas of each shape.Triangle = A = 1/2 bhWe figured that, 60 is the height of a rectangle and 90 is the length that is connected to the triangles. Which is 90 - 60 = 30. And then the width is 200 that was not disrupted by the irregular shape. The we found that 120 + 2x = 200 because there are 2 triangles that are disrupting the straight line of the width of a rectangle. As a result, it is x = 40 so 40 are the base of the triangle.We plug it in, A = 1/2 40(30), 1/2 (1200), and A = 600.We multiply this by 2 because we have 2 triangles so 600 x 2 = 1200.Rectangle = A = bhWe found the A = bh so we have base which is 200 and we have height which is 60.We multiply 60 and 200. A = 60 x 200 = 12000Overall, we have area of a rectangle which is 12000 and the area of the two triangles are 1200.
We both add them to get the area of the irregular shape.
12000 + 1200 = 13,200 mm²
AE and CD intersect at point B. Find m
AE and CD intersect at point B then angle ABD = 152°
A straight angle in mathematics is one with a degree value of 180. Because it resembles a straight line, it is called straight. Essentially, two rays linked end to end create an angle according to the definition of angles in mathematics. As a result, where the rays are linked at endpoints, the two 180-degree angle rays are subtended in the opposite direction.
AE and CD intersect at point B,
angle DBE = 48,
and AE is a straight line,
So the sum of angles on a straight line is 180,
We have to find the angle ABD,
∠DBE+∠ABD=180
∠ABD=180-48
∠ABD=152°
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numbers that are both positive and less then -3
Real number that is greater than or equal to zero. The only number that is both positive and negative is the number 0.
A restaurant claims to have 455 different combinations when you buy a 3-course meal.
The restaurant serves 5 different starters.
What is the total number of mains and desserts that the restaurant serves?
Two right triangles have their hypotenuses
on the same line. The height of the first
triangle is equal to the width of the second
triangle. The height of the second triangle
is 12 units, and the width of the first
triangle is 3 units.
What is the slope of the line?
Answer: To solve this problem, we can start by drawing a diagram of the two triangles and the line connecting their hypotenuses. Let's label the height of the first triangle as h1, the width of the second triangle as w2, and the slope of the line as m.
We know that the hypotenuse of a right triangle is always longer than either of its legs, so we can conclude that h1 < w2. We also know that the height of the second triangle is 12 units, so we can label that as h2 = 12.
Using the Pythagorean theorem, we can express the lengths of the hypotenuses in terms of their legs:
h1^2 + 3^2 = L^2, where L is the length of the first hypotenuse
w2^2 + 12^2 = L^2, where L is the length of the second hypotenuse
Setting these two expressions equal to each other, we can solve for h1 in terms of w2:
h1^2 + 3^2 = w2^2 + 12^2
h1^2 = w2^2 + 12^2 - 3^2
h1^2 = w2^2 + 141
h1 = sqrt(w2^2 + 141)
Now, we can use the fact that the hypotenuses lie on the same line to write an equation for that line:
y = mx + b
where b is the y-intercept of the line. Since the hypotenuses intersect the y-axis at the points (0,h1) and (0,12), we know that b = (h1 + 12)/2. Therefore, our equation becomes:
y = mx + (h1 + 12)/2
To find the slope of the line, we can use the fact that the rise (change in y) over run (change in x) is the same for both triangles. We can express this as:
(h1 - 12) / 3 = 12 / w2
Solving for h1 in terms of w2 and simplifying, we get:
h1 = (36/w2) + 12
Substituting this expression for h1 into our equation for the line, we get:
y = mx + ((36/w2) + 24)/2
y = mx + (18/w2) + 12
Comparing this to the general form of the equation for a line, y = mx + b, we see that the slope is simply:
m = 18/w2
Substituting w2 = 3 (since we were given that the width of the second triangle is 3 units), we get:
m = 18/3 = 6
Therefore, the slope of the line is 6.
Step-by-step explanation:
équation 3 (2x+1) = 4x
Answer:-1.5
Step-by-step explanation:
first distribute 3
to get 6x + 3= 4x
then -6x on right side to get
3= -2x
then divide by -2
3/-2= x
x= -1.5
Hello !
Answer:
[tex]\Large \boxed{\sf x=-\frac{3}{2}}[/tex]
Step-by-step explanation:
We're looking for the value of x that satisfies the following equation :
[tex]\sf 3 (2x+1) = 4x[/tex]
We need to isolate x.
First, let's expand left side :
[tex]\sf 3\times 2x+3\times1=4x\\6x+3=4x[/tex]
Now let's substract 4x from both sides :
[tex]\sf 6x+3-4x=4x-4x\\2x+3=0[/tex]
Substract 3 from both sides :
[tex]\sf 2x+3-3=0-3\\2x=-3[/tex]
Finally, let's divide both sides by 2 :
[tex]\sf \frac{2x}{2} =-\frac{3}{2} \\\boxed{\sf x=-\frac{3}{2}}[/tex]
Have a nice day ;)
Equivalent Expressions & the Distributive Property-Instruction-Levi
The bedroom and the bathroom in a tiny house share a wall. The area of the bedroom is
70 square feet. The area of the bathroom is 35 square feet. The expression 70 +35
represents the total area in square feet.
Which expressions also represent the
total area of the two rooms?
Choose ALL that apply.
10(7+5)
7.10+7.5
10-7+10.5
7(10+5)
70 ft
A=70+35
35 ft
Answer:
Step-by-step explanation:
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
how many teaspoons of minced garlic equals one clove
What is the equation in vertex form of a parabola with a vertex of (–3, 4) that passes through the point (1, –4)
Answer:
y = - [tex]\frac{1}{2}[/tex] (x + 3)² + 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (- 3, 4 ) , then
y = a(x - (- 3) )² + 4 , that is
y = a(x + 3)² + 4
to ind a substitute the point (1, - 4 ) into the equation
- 4 = a(1 + 3)² + 4
- 4 = a(4)² + 4 ( subtract 4 from both sides )
- 8 = 16a ( divide both sides by 16 )
- [tex]\frac{8}{16}[/tex] = a , that is
a = - [tex]\frac{1}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] (x + 3)² + 4 ← equation of parabola
how fast are nfl players? prior to 2012, the average forty yard dash time for running backs and wide receivers was 4.53. on average, were nfl players between 2012-2014 significantly faster than in previous years?
The average speed of NFL players varies by position and other factors, and while the forty-yard dash is a common measure of speed, it's important to consider other factors and potential biases when comparing average times between different years.
The average speed of NFL players can vary depending on their position and other factors such as age, height, and weight. The forty-yard dash is a common measure of speed and agility for NFL players.
Regarding the question about whether NFL players were significantly faster between 2012-2014 compared to previous years, we would need to compare the average forty-yard dash times for running backs and wide receivers from 2012-2014 to the average times from prior years to determine if there was a significant difference.
However, it's worth noting that the average forty-yard dash time can be influenced by a variety of factors, including changes in the testing conditions, differences in the player population being tested, and changes in training and coaching techniques. Therefore, we cannot make any definitive conclusions about changes in player speed based solely on this one measure.
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Please answer this question asap!!!!Find the surface area of a sphere with a volume of 33.51 cubic inches
Answer: 59.02 square inches
Step-by-step explanation:
We can use the formulas for the volume and surface area of a sphere to solve this problem.
The formula for the volume of a sphere is:
V = (4/3)πr^3
Where V is the volume, r is the radius, and π is pi (approximately equal to 3.14159).
We know that the volume of the sphere is 33.51 cubic inches, so we can plug that in and solve for the radius:
33.51 = (4/3)πr^3
r^3 = (3/4) * (33.51/π)
r^3 = 10.56
r ≈ 2.17
Now that we know the radius is approximately 2.17 inches, we can use the formula for the surface area of a sphere to find the surface area:
A = 4πr^2
A = 4π(2.17)^2
A ≈ 59.02 square inches
Therefore, the surface area of the sphere is approximately 59.02 square inches.
Convert.
970 milligrams = centigrams
Triangle proofs level 2 please help!!!
An airplane traveling from Chicago to Los Angeles travels 15 miles every 2 minutes. On the return trip, the plane travels 25 miles every 3 minutes. Graph each ratio relationship in the coordinate plane.
Answer:
(6,45)
Step-by-step explanation:
To graph each ratio relationship in the coordinate plane, we can plot the ordered pairs (time, distance) for each leg of the trip. For the first leg from Chicago to Los Angeles, the plane travels 15 miles every 2 minutes. So we can plot the following points:
(0, 0) - starting point
(2, 15) - after 2 minutes, the plane has traveled 15 miles
(4, 30) - after 4 minutes, the plane has traveled 30 miles
(6, 45) - after 6 minutes, the plane has traveled 45 miles
(8, 60) - after 8 minutes, the plane has traveled 60 miles
We can plot these points on a coordinate plane, with time on the x-axis and distance on the y-axis. The resulting graph would show a straight line with a slope of 7.5 (rise of 15/2 and run of 1).
For the second leg from Los Angeles to Chicago, the plane travels 25 miles every 3 minutes. So we can plot the following points:
(0, 0) - starting point
(3, 25) - after 3 minutes, the plane has traveled 25 miles
(6, 50) - after 6 minutes, the plane has traveled 50 miles
(9, 75) - after 9 minutes, the plane has traveled 75 miles
(12, 100) - after 12 minutes, the plane has traveled 100 miles
We can plot these points on the same coordinate plane as the first leg. The resulting graph would also show a straight line with a slope of 8.33 (rise of 25/3 and run of 1).
The two graphs would intersect at the point (6, 45), which represents the halfway point of the round trip.
(1 point) in how many ways can 5 different novels, 3 different mathematics books, and 1 biology book be arranged on a bookshelf if (a) the books can be arranged in any order? answer: 362880 (b) the mathematics books must be together and the novels must be together?
(a) The number of ways the books can be arranged in any order is 362880,
(b) The number of ways the mathematics books must be together and the novels must be together is 4320.
Part(a) :
The number of mathematics-book is = 3,
The number of novels is = 5,
The number of biology books is = 1,
So, there are total of (5+3+1) = 9 books
These 9 books can be arranged in 9! = 362880 ways.
Part(b) :
If the mathematics book are together we can consider the mathematics books as 1 book and
if the novels are together then these 5 novels can be considered as one.
So, there are total 3 books which can be arranged in 3! Ways.
And these 5 novels can be arranged in themselves in 5! Ways and
these 3 mathematics books can be arranged in themselves in 3! ways.
So, total number of ways = 3!×3!×5! =6×6×120 = 4320 ways.
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a number m, rounded to 1 dp is 48.2
another number, n, rounded to 1 dp is 6.7
what are the lower and upper bound of m-n???
Answer:
I just had to say those numbers because of so I can send it like I'm about
To find the lower bound and upper bound of the difference m-n, we need to first find the possible range of values for m and n.
• For m rounded to 1 decimal place, the actual value could be anywhere between 48.15 and 48.25 (since the digit in the second decimal place could be anything from 0 to 9, and we round to the nearest 0.1).
• For n rounded to 1 decimal place, the actual value could be anywhere between 6.65 and 6.75.
Now, we can calculate the lower bound and upper bound of m-n:
Lower bound of m-n = (48.15 - 6.75) = 41.4
Upper bound of m-n = (48.25 - 6.65) = 41.6
Therefore, the lower and upper bounds of m-n are 41.4 and 41.6, respectively.
I need help!
Given the points Q(-8, -8) and R(2, 7), find the coordinates of the point P on directed line segment QR that partitions segment QR in the ratio 2:3.
Answer:
(-2/5, 11/5)
Step-by-step explanation:
We can use the formula for finding a point that divides a line segment into a given ratio. Let P be the point on the line segment QR that partitions it in the ratio 2:3. Then we have:
P = ( (3x2 + 2x1)/(3+2), (3y2 + 2y1)/(3+2) )
where (x1, y1) = (-8, -8) is the coordinates of Q and (x2, y2) = (2, 7) is the coordinates of R.
Substituting the values, we get:
P = ( (32 + 2(-8))/(3+2), (37 + 2(-8))/(3+2) )
P = ( (-2/5), (11/5) )
Therefore, the coordinates of the point P on the directed line segment QR that partitions it in the ratio 2:3 are (-2/5, 11/5).
50 points! Find the value of < Z O X:
< Z O X =
Answer:
64°
Step-by-step explanation:
You want the measure of angle ZOX, the smaller of a linear pair marked (3x -2)° and (5x +6)°.
Linear pairThe angles of a linear pair are supplementary—they total 180°.
(5x +6) +(3x -2) = 180
8x +4 = 180 . . . . . simplify
8x = 176 . . . . . . subtract 4
x = 22 . . . . . . divide by 8
The measure of angle ZOX is ...
∠ZOX = (3x -2)° = (3·22 -2)°
∠ZOX = 64°
__
Additional comment
Angle ZOY is ...
∠ZOY = (5·22 +6)° = 116°, the supplement of 64°.
express x squared minus 5x + 8 in the form (x-a) squared + b
Answer:
(x-2.5)^2 + 1.75
Step-by-step explanation:
To write that as an equation, we get x^2 - 5x + 8.
now, we need to complete the square:
x^2 - 5x + 6.25 + 1.75 =
(x-2.5)^2 + 1.75.
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x²+6-9x
Answer:
x² - 9x + 6
Step-by-step explanation:
The polynomial in standard form is:
x² - 9x + 6
This is a quadratic polynomial because it has a degree of 2, and it has three terms.
Select the expression that makes the equation true.
one half x (3 x 5 + 1) – 2 = ___
4 x (2 + 3)
(4 x 3) ÷ 2
6 ÷ 3 + 2
6 + 8 ÷ 4
The expression that makes the equation true is: (4 x 3) ÷ 2.
option 1 is the correct answer.
What is expression ?In mathematics, an expression is a combination of symbols and/or values that represents a quantity or a relationship between quantities. It can include variables, constants, mathematical operations, and functions.
According to the given information:first, let's simplify the expression within the parentheses:
3 x 5 + 1 = 15 + 1 = 16
Now, we can simplify the entire expression:
1/2 x (3 x 5 + 1) - 2 = 1/2 x 16 - 2 = 8 - 2 = 6
So, we need to select the expression that equals 6:
6 ÷ 3 + 2 = 4
6 + 8 ÷ 4 = 8
(4 x 3) ÷ 2 = 6
Therefore, the expression that makes the equation true is: (4 x 3) ÷ 2.
option 1 is the correct answer.
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Answer:
.
(4x3)---- 2
.
B
Step-by-step explanation:
hope this help!
The total cost of a vacation rental depends on when it is being rented: during the week, on the weekend, or over a holiday. The total cost for three different groups to stay at the rental is shown in the table.
The correct statement regarding the solution of the system of equations is given as follows:
A. The solution to the system is viable.
How to model the situation?The situation is modeled by a system of equations, for which the variables are given as follows:
Variable x: cost of a weeknight.Variable y: cost of a weekend night.Variable z: cost of a holiday.From each row of the table, the equations are given as follows:
4x + 2y = 614.3x + y + z = 555.5x + y + z = 733.Subtracting the third equation by the second, the value of x is given as follows:
2x = 178
x = 178/2
x = 89.
From the first equation, the value of y is given as follows:
y = [614 - 4 x 89]/2
y = 129.
From the second equation, the value of z is given as follows:
z = 555 - 3 x 89 - 129
z = 159.
Hence the system has a viable solution.
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in a survey of employees on a island, we find that as their primary vehicle to commute to work, 10% use a boat, 35% use a sedan, 50% use a suv, 5% use a bicycle. if an employee is selected at random, what is the probability that you will select a person who uses a suv or sedan?
If an employee is selected at random, the probability that you will select a person who uses a suv or sedan is 85%.
Given data: Primary vehicles to commute to work :
Percentage of employees who use a boat = 10%
Percentage of employees who use a Sedan = 35%
Percentage of employees who use a SUV = 50%
Percentage of employees who use a Bicycle = 5%
Probability of selecting a person who uses a SUV or Sedan can be calculated as follows:
Probability of selecting a person who uses a SUV or Sedan= Probability of selecting a person who uses a SUV + Probability of selecting a person who uses a Sedan
Probability of selecting a person who uses a SUV or Sedan= 50% + 35%= 85%
Hence, the probability of selecting a person who uses a SUV or Sedan is 85%.
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You and two friends go to a restaurant and order a sandwich. The menu has 10 types of sandwiches and each of you is equally likely to order any type. What is the probability that each of you orders a different type?
The probability that each of you orders a different type of sandwich is 72%.
To find the probability that each of you orders a different type of sandwich, we can use the counting principle.
Step 1: Determine the total number of ways you and your friends can order sandwiches.
Since there are 10 types and each of you can choose any type, there are 10 * 10 * 10 = 1000 possible ways to order.
Step 2: Calculate the number of ways you can order different types of sandwiches.
For the first person, there are 10 choices.
For the second person, there are 9 remaining choices (since their sandwich must be different from the first person's). For the third person, there are 8 remaining choices (different from both the first and second person's choices). So there are 10 * 9 * 8 = 720 ways to order different types of sandwiches.
Step 3: Calculate the probability of ordering different types of sandwiches.
Divide the number of ways to order different sandwiches by the total number of ways to order:
Probability = (Number of ways to order different sandwiches) / (Total number of ways to order)
Probability = 720 / 1000 = 0.72 or 72%.
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Describe the range of the relationship shown here
Anna's monthly Salary was $3000 in may. In June, she received a 20% rate. How much did she get in June? In July, she received a 20% pay cut from June. How much did she get in July? Show your work
Anna's monthly Salary in June was $3600 as she received a 20% rate and her monthly Salary in July was $2880 as she received a 20% pay cut from June.
It is given to us that: Ana's salary in May =3000$
in June she received 20% raise
the amount she received in June after 20% raise = 3000 x 20/100
= 30 x 20 = 600
we have to first find Ana's salary at the end of June month with 20% raise. and then her salary after the end of July month with the pay cut of 20%.
Ana's salary after June month when she got 20% raise in his salary after May:
= 3000 + (20% x 3000)
= 3000 + (20/100 x 3000)
= $3600
her new salary after June will be 3600$.
therefore, she received 3600 in June.
in July she received 20% pay cut.
To find Ana's monthly salary after the two changes in June and July.
Ana's salary after June month when she got 20% raise in his salary after May = $3600
now she got a pay cut of 20% on his new salary from July month,
= 3600 - (20% x 3600)
= 3600 + (20/100 x 3600)
= 3600 - 720
= $2880
so, her salary after that would be equal to $2880.
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Expand this equation 5(y+3)
5y+15
I think this is correct. Hope this helps:)
Answer: 5y + 15
Step-by-step explanation: 5(y+3)
= 5(y) + 5(3)
= 5y + 15