A package of salt waits 25 KG and a packet of sugar weighs 35 KG find the ratio of weight of salt to the weight of sugar
[tex] \longmapsto \: =25/35 [/tex]
[tex] \longmapsto \: =5/7[/tex]
[tex] \longmapsto \: =5:7[/tex]
The Palace Theater has 25 rows. There are 26 seats in the first row with 2
additional seats on each consecutive row. How many seats are in the
theater? *
Answer:
The theater has 698 seats.
Step-by-step explanation:
So, the first row has 26 seats, and that's one out of 25 rows.
Let's find the amount in the following rows.
The following rows have an additional 2 seats, so:
28 × 24 = 672
Now, we add the other 26 seats from the first row:
672 + 26 = 698
And there's your answer.
What is the range of the function on the graph
Answer:
All real numbers greater than or equal 2.
Step-by-step explanation:
There is a closed circle on the number 2,which means that it is included in the range. The line is increasing, meaning that all real numbers greater than or equal to 2 is the range.
Express x^2+12x+11 in the form (x+p)^2+q
PLEASE HELP ASAP!! will mark!find the zeros of the function. no links
the answer is x=-1 or x= 5
solve please im gonna fail
Answer:
The two little blue boxes are going
Step-by-step explanation:
Lets start with the 0s.
Two zeros is 0. so its
_ _ _ _ 0.
Now we add 2 and 0 which is 2.
_ _ _ 2 0
now we add 6 and 4, which is 10. We have to put the 1 above the 7 and 5 and we are going to put 0 down below
_ _ 0 2 0
now we are going to add 7 +5, but dont forget the 1! Its going to be 13. Put the 3 down below and put the 1 above the 2!
_ 3 0 2 0
Now its 2 + 1 which is 3
your answer is
33020
Help please I don't really understand
Answer:i need to know what youre trying to find first
Step-by-step explanation:
pls help ;-;
A spinner has 8 equal spaces numbered 1 through 8.
After 48 spins, about how many times would you expect it to land on
1, 2, or 3?
Answer:
The answer to this is 14%
Step-by-step explanation:
sorry if im wrong
(hope this helps can i plz have brainlist :D hehe)
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, On Tuesday, the baker makes a total of 60 muffins how many muffins did she make on tuesday
The number of blueberry muffins the baker makes on Tuesday is given by the equation A = 24 blueberry muffins
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of blueberry muffins the baker makes be A
Now , the equation will be
The total number of muffins the baker makes on Tuesday = 60 muffins
The percentage of blueberry muffins = 40 %
So ,
The number of blueberry muffins the baker makes A = total number of muffins the baker makes on Tuesday x percentage of blueberry muffins
Substituting the values in the equation , we get
The number of blueberry muffins the baker makes A = 60 x ( 40/100 )
On simplifying the equation , we get
The number of blueberry muffins the baker makes A = 60 x 0.4
The number of blueberry muffins the baker makes A = 24 blueberry muffins
Therefore , the value of A is 24
Hence , the number of muffins is 24
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Rent-A-Car charges $50 to rent a car plus $0.25 per mile. Save-To-Rent charges $25 to rent a car plus $0.41 per
After how many miles will the cost be the same to rent a car?
miles
y = 0.25x + 50 and y = 0.3x + 40 will be the equation to find the cost to rent a car.
Define cost function.A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.
Define cost.Costs are the dollar amount spent on materials, labor, services, goods, equipment, and other items for use by a company or other accounting organization.
y = 0.25x + 50
y = 0.3x + 40
The equations will be written as y = mx + b, or slope-intercept form. You must determine what you have in order to determine what belongs where.
They receive $50 per day plus $0.25 per mile from Rent-A-Wreck. This indicates that the $0.25 per mile is the number that changes daily. Thus, y = 0.25x + 50 will be the equation.
They receive $40 per day with $0.30 per mile from Drive-A-Lemon. This indicates that the $0.30 per mile is the number that changes daily. y = 0.3x + 40 will be the formula.
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Pls help. Find the surface area of the solid. Round to the nearest tenth if necessary
Answer:
850 m²
Step-by-step explanation:
There are 3 different pairs of rectangles—the side rectangles, the rectangles on the top and bottom, and the other side rectangles.
10x11=110
110x2=220
15x10=150
150x2=300
15x11=165
165x2=330
330+300+220=850 m².
5. 4 friends have a $20 coupon to help pay for their dinner. The total bill
including tax and tip comes to $84. Write AND solve an equation to
determine how much each friend will have to pay for the bill.
6x + 5y = 4 5. and 6x – 7y = –20 what does x and y equal?
Answer:
x=-1 y=2
Step-by-step explanation:
Use Elimination or Substitution (Elimination shown below)
6x+5y=4
6x-7y =-20 <- Multiply by -1
-6x+7y=20
12y = 24
y=2
Plug back into either of the equations and solve for x.
6x + 10= 4
6x = -6
x = -1
Double check work:
-6+10 = 4
Which of the following is the graph of f(x) = x2 + 3x − 4?
Answer:
2nd graph
Step-by-step explanation:
Given
f(x) = x² + 3x - 4
To find the zeros let f(x) = 0 , that is
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
The only graph with zeros at x = - 4 and x = 1 is the 2nd graph
Second graph is a required answer
All numbered streets runs parallel to each other. Both 3rd and 4th streets are intersected by king ave. As shown
Answer:
(a)
∠(a) = 105°
(b) ∠(b) = 75°
(c)
∠(c) = 105°
Step-by-step explanation:
Complete Question
1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown:
(a) Suppose a car is traveling west on 4th Street and turns onto King Avenue heading south. What is the measure of the angle created by the car's turning? Explain your answer.
(b) Suppose a car is traveling southwest on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.
(c) Suppose a car is traveling northeast on King Avenue and turns right onto 4th Street. What is the measure of the angle created by the car's turning? Explain your answer
Also find the attachment
Solution
(a)
∠(a) + 75° = 180°
∠(a) = 180° - 75°
∠(a) = 105°
(b) As we can see the 3rd and 4th street are parallel thus the corresponding angle will be equal
Thus, ∠(b) = 75°
(c)
∠(c) + 75° = 180°
∠(c) = 180° - 75°
∠(c) = 105°
simplify 3a - 2(8 +4a)
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Answer:
Let's simplify step-by-step.
3a − 2 ( 8 + 4a )
Distribute:
= 3a + ( −2 ) ( 8 ) + ( −2 ) ( 4a )
= 3a + −16 + −8a
Combine Like Terms:
= 3a + −16 + −8a
= ( 3a + −8a ) + ( −16 )
Answer:
= −5a − 16
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
which of the following require that you have parallel sides
The requirement of the parallel sides is Alternate interior angles.
What is the alternate interior angle?The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.
The alternate interior angles require two parallel lines to be formed. Therefore the requirement of the parallel sides is Alternate interior angles.
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Please help quickly
Nova wants to measure the height of a tree. She asks her brother Caden to stand so that the
tip of his shadow coincides with the tip of the tree’s shadow. She stands at the tip of Caden’s
shadow. Caden, who is 1.2 meters tall, is 4.2 meters from Nova and 6.5 meters from the tree.
The tree is ___ meters high. Round your answer to the nearest tenth and write it as a decimal.
Answer:
The tree is 9.1 meters high.
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this problem. Let T be the height of the tree. We can set up the following equation:
4.2^2 + T^2 = 6.5^2
Solving for T, we get:
T = sqrt(6.5^2 - 4.2^2)
T = sqrt(41.25 - 17.64)
T = sqrt(23.61)
T = 4.878
Since the height of the tree is measured to the nearest tenth, we can round this value to 9.1 meters.
When Khadija stands at a distance of 18 m from the base of a tree, she forms
an angle of 57° with the top of the tree. What is the height of the tree to the
nearest tenth?
A 27.7 m
B 28.5 m
C 29.2 m
D 301 m
1/3 + 9/2 simple math
The nth term of a sequence is 3n squared -1. The nth term of a different sequence is 30 - n squared. Find the only number that is in both of these sequences
The number that belongs to both sequences is 26.
The formula known as the nth term allows us to locate any term in a series. The letter "n" stands for "number."
By changing the term number's value, we can create a series that uses the nth term (n).
To find the 10th term we would follow the formula for the sequence but substitute 10 instead of ‘n‘; to find the 50th term we would substitute 50 instead of n.
We have two sequences, let's call one as A and the other as B.
The n-th term of sequence A is written as:
aₙ = 3*n^2 - 1
the nth term of sequence B is written as:
bₙ = 30 - n^2
We want to find a term that belongs to both sequences, (it can be for different integers, we can use n for sequence A and x for sequence B)
Then we want to find:
aₙ = bₓ
where n and x are integer numbers.
Then we will heave:
3*n^2 - 1 = 30 - x^2
To find the pair, we could isolate one of the variables, then input different integers in the other variable and see if the outcome is also an integer.
Let's isolate n.
3*n^2 = 30 - x^2 + 1
3*n^2 = 31 - x^2
n^2 = (31 - x^2)/3
n = √( (31 - x^2)/3)
Now let's input different values for x, and see if the outcome is also an integer, notice that x is in a negative term inside a square root, then we have only a few values of x such that the equation can be true.
Then let's start with x = 1.
n(1) = √( (31 - 1^2)/3) = √(30/3) = √10
We know that √10 is not an integer.
now with x = 2,
n(2) = √( (31 - 2^2)/3) = √( (31 - 4)/3) = √(27/3) = √9 = 3
then if x = 2, we have n = 3.
Both of them are integers, then we get:
a₂ = 3*(3)^2 - 1 = 27 - 1 = 26
b₃ = 30 - 2^2 = 30 - 4 = 26
Therefore, The number that belongs to both sequences is 26.
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Pl help it’s for a grade
Answer:
The initial fee
Step-by-step explanation:
Thats the fee to sort of set up the membership, the 15 is the monthly cost, and m is the months you use the membership. Make sense?
Help pls this test is timed and I have been doing it sine 8:00 Florida time!!!!!!!!! It’s the m and q question thanks
Answer: A.
Step-by-step explanation: Because a solid can go from a liquid to a gas and if you think of ice, Ice starts as a solid then when it melts it turns into a liquid the when the liquid evaporates it turns to a gas. Hope this helped
In which quadrant is the coordinate pair (-3, -4) located?
Answer:
3rd
Step-by-step explanation:
because both points are negative
Adrian,bobby, and chandler are assigned a random order during a three-person batting competition. What is the probability that bobby is assigned to go first, chandler is assigned to go second and Adrian is assigned to go last.
Answer:I think 1/3
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
The process of each individual getting chosen is a sequence of events, meaning we need to multiply each individual probability separately in order to get the probability of this happening. For the first choice, the probability is 1/3 since there can only be one chosen to go first and there are three options. For the second choic,e the probability is 1/2 because only one can be chosen but there are now only 2 options since someone got chosen to be first. This leaves the last probability which is 1/1 since only one person is left. Therefore, to get the probability of this event happening we need to multiply all of these probabilities together...
1/3 * 1/2 * 1/1 = x
[tex]\frac{1 * 1 * 1}{3 * 2 * 1} =[/tex] [tex]\frac{1}{6}[/tex]
Therefore the probability of Bobby going first, Chandler going second, and Adrian going last is 1/6
Forty-five students and parents attended a career fair on Tuesday. The number of students that attended was 5 more than twice the number
of parents in attendance. Write a system of equation to model the situation.
Answer:
p + s = 45
s = 2p + 5
Step-by-step explanation:
Let s = number of students.
Let p = number of parents.
p + s = 45
s = 2p + 5
The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with a half-life of approximately 666 hours. That is, every 666 hours, the amount of caffeine in the body decreases by 50\PP, percent. Charlotte wants to go to sleep at 11\,\text{pm}11pm11, start text, p, m, end text and does not want more than 202020 milligrams (\text{mg})(mg)(, start text, m, g, end text, )of caffeine in her system at that time. What is the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80\,\text{mg}80mg80, start text, m, g, end text of caffeine
The half-life of caffeine in the body is approximately 5-6 hours, not 666 hours. Given this information, we can calculate the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80mg of caffeine and still have no more than 2020mg of caffeine in her system at 11pm.
What does math's % mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
We know that after 5-6 hours, the amount of caffeine in the body decreases by 50%. Therefore, in 11 hours, the amount of caffeine in the body would decrease by approximately 87.5%.
If we let x be the number of hours before 11pm that Charlotte can drink the espresso, then the amount of caffeine in her body at 11pm would be:
80mg * (1 - (87.5% ^ (x/5-6))) = 2020mg
Solving for x, we find that the latest time Charlotte can drink the espresso is approximately 6:30pm.
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Does 4 5 6 make a right triangle?
The side lengths measuring 4 units , 5 units and 6 units does not make a Right Triangle as they do not satisfy the condition of the Pythagoras Theorem that the square of the longest side is equal to the sum of square of other two side .
The Pythagoras Theorem states that the square of the lonest side (hypotnuse) is equal to the sum of the square of the other two sides ,.
The side lengths of the triangle are given as 4 units , 5 units and 6 units ,
According to the condition , [tex]6^{2} = 4^{2} + 5^{2}[/tex]
On simplifying ;
we get ;
[tex]36 = 16 + 25[/tex] ;
[tex]36 \neq 41[/tex]
that means the given side do not form a right triangle .
Therefore , the side 4 units , 5 units and 6 units do not make a right triangle .
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How is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used?
We find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.
What is the tangent of the angle?
The ratio of the right-angle triangle's base or perpendicular is known as the tangent of the angle.
The ratio of two of the right-angled triangle's three sides is used to define the sine, cosine, and tangent of an acute angle.
Here,
We have to find out how is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used.
We concluded that a right triangle can be used to determine the tangent of any acute angle, by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.
Hence, we find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.
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Evaluate the expression below using a=12 and b=11"
8a + 6b
Answer:
162
Step-by-step explanation:
8x 12 + 6x 11 = 162