use cross products property to solve the proportion a/6=15/2

Answers

Answer 1

Answer:

a = 45

Step-by-step explanation:

[tex]\frac{a}{6} = \frac{15}{2}[/tex] Original equation.

[tex]a = 6(\frac{15}{2})[/tex] To solve for a, multiply both sides by 6 to isolate a.

[tex]a = 3(15)[/tex] 6 reduces to 3 when divided by 2.

[tex]a=45[/tex] Multiply 3 and 15 to get a.


Related Questions

2. In the middle school band, there is 1 oboe for every 7 clarinets. Write three equivalent ratios to compare the oboes to the clarinets

Answers

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

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Ellen has a coupon for 1.55 off a loaf of bread. The regular price of bread is 4.63. The loaf is cut into 14 slices. What is the price per slice if Ellen uses her coupon?

Answers

Answer:

0.22 or 22 cents

Step-by-step explanation:

4.63 (original bread price) - 1.55 (coupon) = 3.08

divided by 14 slices of bread is 22 cents

Answer:

$0.22 per slice

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Apply the coupon to the loaf of bread first. $1.55 off a loaf of bread means subtracting this amount from the original price of bread.

$4.63 - $1.55 = $3.08

If the loaf is cut into 14 slices, we should divide the loaf of bread's new price by 14.

$3.08 / 14 = $0.22

The price per slice if Ellen uses her coupon is $0.22 per slice.

Thank you L for helping me w/ this question :)

What is a formula that can be used to find the area of one triangular section of the door how do you know the formula will work?

Answers

Answer:

[tex]Area = \frac{1}{2} L B[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the formula of one of the triangular sections

From the attachment, we have that:

[tex]L = Length[/tex]

[tex]B = Height[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * L * B[/tex]

[tex]Area = \frac{1}{2} L B[/tex]

How to know the formula works?

From the attachment, we can see that the rectangle is divided into two equal triangular sections.

The area of the rectangle is:

[tex]Area = L* B[/tex]

[tex]Area = LB[/tex]

Because the rectangle is divided into two equal triangular sections.

This implies that, the area of one of the triangular sections is half the area of the rectangle.

So:

[tex]Area(Triangle) = \frac{1}{2}Area(Rectangle)[/tex]

Substitute LB for the area of the rectangle

[tex]Area(Triangle) = \frac{1}{2}LB[/tex]

By comparison:

[tex]Area(Triangle) = \frac{1}{2}LB[/tex] and [tex]Area = \frac{1}{2} L B[/tex] are the same

I need this questions done for my class, we went over this but I forgot. Can you guys say the answer and explain so I don’t forget again? Thank you so much!

Answers

1) 2/5 x 3 =?

Since we cannot possibly cancel the denominators, let us multiply 2 and 3.

Answer will become, 6/5.

2) 2/3x3 =?

We can cut 3 and 3.

Answer will become, 2.

3) 2/5 x 3=?

This is a repeated question and the answer remains the same as the 1st question's answer, 6/5.

4) 3/2 x 3=?

We cannot cancel the denominators, let us multiply 2 and 3.

Answer is, 9/2.

Convert 4 years into hours.

Hint: 1 non-leap year =8760 hours and 1 leap year=8784 hours. One out of every 4 years is a leap year.

Answers

Answer: 4 years =35.064 hour

Step-by-step explanation:

8760 multiplied by 3 is 26,280

add the year hours

26,280+ 8784 = 35,064 hours

Answer:

35064

Step-by-step explanation:

willie has 4 treasure chests which have a combined weight of 240 pounds. If each chest weighs at least 20 pounds what is the heaviest possible weight of one of the chests?

A. 177
B. 180
C. 217
D. 234

Answers

Answer:

B. 180

Step-by-step explanation:

There is a condition that each chest needs to be at least 20 pounds and we can use that to our advantage. Because we want one of the boxes to be really heavy, we need the other three to be really light. Let's set the heavy box as variable y. Set each of the other three boxes equal to 20. Because the combined weight is 240, then the equation so far is 240 = (20*3)+y.

Now, we can solve for y. 240-60 = 180, so the heaviest box has to be 180 lb.

write down an expression for the nth term of the following sequence

5, 11, 17, 23, ...

Answers

Answer:

[tex]a_{n}[/tex] = 6n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence

d = 11 - 5 = 17 - 11 = 23 - 17 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 6 , then

[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

6n-1
Because:
6n= 6,12,18,24
6n-1=6x1-1=5,6x2-1=11,6x3-1=17 and 6x4-1=23

Without using a calculator, choose the statement that best describes the square root of
174.

Answers

Answer:

The square root of 174 with one digit decimal accuracy is 13.1.

Step-by-step explanation:

Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $14 per hour at her job, and Jack is paid $10 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $850 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?

Answers

By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation , we find that y=20 hours, which is Jack's maximum working hours. 

a car cost $20000 when it was purchased. the value of the car decreases by 8% each year. find the rate of decay each month and select the correct answer below.

-0.6667%
-0.81%
-0.0067%
-0.6924%

Answers

I think its -0.6667 because divide 8 by 12 and you get that

please help!!!!!!!!!!

Answers

Answer:

5x+3

Step-by-step explanation:

Answer:

5x + 3 = y

Step-by-step explanation:

y represents the answer

3 more means +3

Product is the answer when two or more values are multiplied together.

So, three more than the product of 5 and x would be 5x + 3 = y

decrease £220 by 15%

Answers


220, percentage decreased by 15% (percent) of its value = 187

If we decrease £220 by 15% then it would be £187

What is percentage?

"It is a number or ratio that can be expressed as a fraction of 100."

To find the percent of a number:

x percent of number p is,

x% of p = p × (x/100)

For given example,

We need to decrease £220 by 15%

First we find the 15 percent of £220

15 percent of £220 is,

⇒15% of £220 = 220 × (15/100)

⇒15% of £220 = 220 × 0.15

⇒15% of £220 = £33

Now, we decrease £220 by 15%,

£220 - £33 = £187

Therefore, if we decrease £220 by 15% then it would be £187

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Can someone help solve it​

Answers

Answer:

C

Step-by-step explanation:

The answer is C (the third one)

Describe all numbers x that are at a distance of 4 from the number 9. Express this using absolute value notation.

Answers

Answer:

|x - 9| = 4

Step-by-step explanation:

All numbers x that are at a distance of 4 fro the number 9

Given two numbers a and B, the absolute distance between them is written as :

|a - b| = c

Hence all numbers x at distance of x from 9

|x - 9| = 4

{x : |x - 9| = 4}

Sneezie's Tissues currently packages
tissues in a box shaped like a
rectangular pyramid with length 9
centimeters, width 5 centimeters, and
height 4 centimeters. The design team
would like to change the box to a
rectangular prism with the same base
and height. How many times greater
will the volume be when the box is
changed?

Answers

Answer:

3 times

Step-by-step explanation:

Volume of the pyramid:

V = lwh/3

Volume of the prism:

V = lwh

Since all dimensions remain as is, the volume of the prism is:

lwh / (lwh/3) = 3 times greater

A boat travels due north for 20km and then turns and travels due east for 7km. How far away is the boat from where it started?

Answers

Answer:

21

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

(20)^2 + (7)^2 = [tex]c^{2}[/tex]

400 + 49 = [tex]c^{2}[/tex]

c= [tex]\sqrt{449}[/tex] = 21.1 ~ 21

(hope its right)

PLZ HELP I NEED IT VERY MUCH THANK YOU BRAINLIEST AND % STARS THANK YOIU

Answers

1. similar bc there is 180° in a triangle

180 - (122+30) = y
y = 28

180 - (122-28) = x
x = 30

so it is similar by AAA

Mrs. Norman has 40 pairs of shoes. 6/8 of her shoes are sneakers. How many of her shoes are sneakers?

Answers

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

40 divided by 8 = 5

5 x 6 = 30

hope this helps!

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

you have to divide 40 by 8 which is 5 and 5 x 6 is 30 hope you have a great day

Please help i will give brainliest

Answers

Answer:

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8

Step-by-step explanation:

Answer:

-4.2

-3.5,

-2.1,

-1

-1.5

-0.5

1

3.5,

4.8

Step-by-step explanation: Please feel free to point out if I'm wrong or if I missed any (i did spaces so you could see easier, also from top to bottom is least to greatest)

what does 7 = 4 – 3x

Answers

Answer:

Can I be marked brainliest?

x = -1

Step-by-step explanation:

Switch it around

4 - 3x = 7

-3x + 4 = 7

Subtract 4 from both sides of the equation

-3x + 4-4 = 7-4

Simplify

-3x = 3

Divide both sides of the equation by the same term

-3x/-3 = 3/-3

x = -1

Answer:

-1

Step-by-step explanation:

 7=4-3x     Add like terms

-4  -4

3=-3x       Now divide

/3  /3

x=-1

HELP FAST DUE SOON Find the area of the parallelogram

Answers

Answer:

12 u^2

Step-by-step explanation:

The person below I think got the answer right.

The formula is area= base x height or a=bxh

Answer:

12u^2

Step-by-step explanation:

In one of the boxes, it tells you the formula for finding the area of a parallelogram. Area=base x height or A = b x h. The base is 6 units and the height is 2 units.

A = b x h

12 = 6 x 2

Nov 19 F
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a) Use the * tool to plot the point
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2.
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b) Write down the coordinates of the
midpoint of AB.
4 -3 -2-10
- 1
1 2 3 4
(1
А
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Total marks: 2​

Answers

Answer:

l.mao you could just send a picture, it's a bit hard to actually answer any of the questions if it's jam-packed like that

50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 620 students in the school how many students would you expect in the entire school to prefer Coke?

Answers

Answer:

around 470 students would prefer coke

Step-by-step explanation:

50 - 12 = 38

38 / 50 = 76%

620 (0.76) = 471.2

Please help!!!!
Which point is on the graph of f(x) = 6*?
O A. (1,6)
O B. (6,1)
O C. (0,6)
O D. (0,0)

Answers

C is the answer Because f(x) is a horizontal line on the 6

Answer: A: (1, 6)

Step-by-step explanation:

URGENT pls help will mark brainliest, 40 points

Answers

Answer:

14answer 3

15answer1

16answer1

what is the slop of (5,2) and (-6,3)​

Answers

Answer:

m = - [tex]\frac{1}{11}[/tex]

Step-by-step explanation:

The equation -3x2 + 12x = 10 is rewritten in the form of -3(x - p)2 + g = 0. What is the value of q?
A.-22
B.2
C.22
D.134

Answers

Answer:

A

Step-by-step explanation:

-3(x-p)2+g=0

-3x2+12x=10

-3(x2-4x)=10

-3(x2-4x+4)=10+12

x2-4x+4 = (x-2)2

-3(x-2)2=22

-3(x-2)2-22=0

q = -22

Triangle QRS has the angle measures shown.

What is the measure of the obtuse angle?

m2Q=(1x)

mZR= (3x)

m25 = (6x)

O 18

54

108

© 216

Answers

Answer:

108 degrees

Step-by-step explanation:

Given the following angle measures in triangle QRS

m<Q = 1x

m<R = 3x

m<S = 6x

Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees

The sum of angle in a triangle is 180 degrees

m<Q + m<R + m<S = 180

1x + 3x + 6x = 180

10x = 180

x = 180/10

x = 18

The obtuse angle is 6x

Measure of the obtuse angle = 6x

Measure of the obtuse angle = 6(18)

Measure of the obtuse angle = 108 degrees

Hence the measure of the obtuse angle is 108 degrees

a cinema has three screens last saturday there were 500 visitors

Answers

Yes very much so good job

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

Therefore, 175 visitors went to screen 3.

Step-by-step explanation:

b. After the 10th graduation
ceremony, how many total
graduates are there? Explain how
you determined your answer.

Answers

Answer:

chccucuxudhwhhwhsvahajw 10th g - ceremony

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