7. The ratio of strawberries to grapes in the fruit salad is 3:9. The ratios of strawberries to honeydew is 6:14. If there 36 grapes, how peony strawberries. Match the fractions that are equivalent to each other​

Answers

Answer 1

Answer:

12 strawberries

Step-by-step explanation:

Let

[tex]S = Strawberry[/tex]

[tex]G = Grape[/tex]

[tex]H = honeydew[/tex]

Given

[tex]S : G = 3 : 9[/tex]

S : H = 6 : 14

Required

Solve for S when G = 36

To do this, we make use of the first ratio

[tex]S : G = 3 : 9[/tex]

Substitute 36 for G

[tex]S : 36 = 3 : 9[/tex]

Convert ratio to fractions

[tex]\frac{S}{36} = \frac{3}{9}[/tex]

[tex]\frac{S}{36} = \frac{1}{3}[/tex]

Cross Multiply

[tex]S * 3 = 36 * 1[/tex]

[tex]3S = 36[/tex]

Divide through by 3

[tex]\frac{3S}{3} = \frac{36}{3}[/tex]

[tex]S = \frac{36}{3}[/tex]

[tex]S = 12[/tex]

The (b) part of the question can not be solved with the given details.

However, some equivalent fractions are:

[tex]\frac{1}{2} = \frac{2}{4}[/tex] ---- 0.5

[tex]\frac{5}{15} = \frac{10}{30}[/tex] --- 0.33

[tex]\frac{4}{7} = \frac{8}{14}[/tex] --- 0.57

To get the equivalent fractions, you have to convert the fractions to decimal and then make comparison.


Related Questions

Find the image of A(-2, 3) after the following transformations.
Reflection over the X - axis with a translation down 3.

Answers

Answer:

A'(-2,-6)

Step-by-step explanation:

my mind i think its right

An arts academy requires there to be 3 teachers for every 57 students and 5 tutors for every 55 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 99 students​?

Answers

Answer:

15

Step-by-step explanation:

Answer:

9 tutors would be needed

Step-by-step explanation

5/55=.0909

.0909×99=9

Does the table represent a
linear or nonlinear function?
х y
2 8
4 4
6 0
8 -4

Answers

Answer:
Linear FunctionA linear function is a relation between two variables that produces a straight line when graphed. Non-Linear FunctionA non-linear function is a function that does not form a line when graphed.

What is the ratio of students who dance to the total number of students?

Answers

Answer:

I'm sorry I don't know the ratio but the whole number of students is 164 and dance students is 43 i hope this helps if not im sorry i tried to help

Step-by-step explanation:

PLEASE ANSWER THESE 3 QUESTIONS I WILL MARK BRAINLIEST IF ITS RIGHT..

Answers

1 = C
2 = D
3 = C

1.) the first notable point on the graph is y = 60km, X = 2 hours. This is 30km/hr
2.) “y=Mx+B” m is slope which is given (-3). B is the y value when x = 0 (+5)
3.) the function goes from negative to positive therefore it is defined and positive.

Answer:

1. C     2. I am pretty sure it is D if not than C     3. C

Step-by-step explanation:

Is -9/4 rational. Please I need this now the thing said 20 characters long so I’m just gonna type. The best answer gets brainliest ig

Answers

Answer:

no -9/4 is irrational

Step-by-step explanation:

vacsusvvsjshsvsh plz give brainliest

Add the expression
2x + 6 and 6x−1

Answers

Answer:

8x + 5

Step-by-step explanation:

You add like terms:

2x + 6x = 8x.

6 + (-1) = 5

Adding them up, you get:

8x + 5

Use trigonometry to solve for x. Round to the nearest tenth.

Answers

Answer:

14.6

Step-by-step explanation:

Tangent of 39 degrees multiplied by 18 is 14.5674, or 14.6

last month leonardo went to the gas station 5 times to buy gas for his car the numbers of gallons he purchased were 14.071, 14.32, 14.199 and 14.1 gallons

Answers

Answer:

its 14.32

Step-by-step explanation:

because if you line all the numbers up and you look in the hundreds place 3 is the biggest number

5. $115 coat; 9.5% tax

Answers

Answer:

The total would be 125.93.

Directions: Convert the following equations from standard form to slope-intercept form.
10. 6x + 2y = 10
11. x + 2y = 4
Gina Wilson (All Things Algebra" LLC], 2012-2017
12. x + y = -3
13. -2x + 3y = -6

Answers

Answer:

in order

y = -3x + 5

y = 1/2(x) + 2

y = -x - 3

y = 2/3(x) - 2

Step-by-step explanation:

slope-intercept form is y= mx + b

10. 6x + 2y = 10

2y = -6x + 10, subtract 6x from both sides

y= -3x + 5, divide both sides by 2

11. x + 2y = 4

2y = x + 4, subtract x from both sides

y = 1/2(x) + 2, divide both sides by 2

12. x + y = -3

y = -x - 3, subtract x from both sides

13. -2x + 3y = -6

3y = 2x - 6, add 2x to each side

y = 2/3(x) - 2, divide both sides by 3

5/4y + 8 = 17.50

Please Help me

Answers

Step 1: Subtract 8 from both sides.
5/4y+ 8− 8= 17.5− 8
5/4y = 9.5

Step 2: Multiply both sides by 4/5.
(4/5) * (5/4y) = (4/5) * (9.5)

y = 38/5
Y= 5/38 and the decimal form for that is y= 0.131

plz help me i did it but messed up some ware plz help . 5x5=4x5+9=

Answers

Answer: 25=29

Step-by-step explanation:5x5=25

4x5+9=29

Answer:

Need brainliest

Step-by-step explanation:

19. (03.02 LC)
ABCD is a rectangle. What is the value of x? (1 point)

65 meters
33 meters
9 meters
28 meters

Answers

Answer:

33

Step-by-step explanation:

Here in rt angled triangle ABC AC= 65 which is hypotenuse

so ,

65^2 = x^2 +56^2

√(65^2 -56^2)= x

x= 33

Write your answer with no space and any fraction with “/“

Answers

Answer:

y+3=-1/2(x-1)

Step-by-step explanation:

Point-slope form of a line is given by the equation y - b = m(x - a), where,

(a, b) = is a point on the line

m = slope of the line.

A line that is perpendicular to y = 2x - 1 will have a slope value that is the negative reciprocal of the slope of the line.

The slope of the line, y = 2x - 1, is 2.

The negative reciprocal of 2 = -½.

The slope of the line that is perpendicular to y = 2x - 1 is -½.

Thus, m = -½.

Let's find the equation of the perpendicular if it passes through the point (1, -3).

Substitute (a, b) = (1, -3), and m = -1/2 into y - b = m(x - a).

Thus:

y - (-3) = -1/2(x - 1)

y+3=-1/2(x-1)

Is the equation y=4x+1 proportional? *
Yes
No

Answers

Answer:

No

Step-by-step explanation:

y = 4x + 1 is not a direct variation. Direct variations have the form y = kx. So y = 4x would be a direct variation (k=4), but not y = 4x+1

The price of blackberries at a farm is $1.56 per pound. Which equation can be used to determine c, the total price of n pounds of blackberries? (10 points)

a
c = 1.56n

b
c equals 1.56 over n

c
c = 1.56 + n

d
c = 1.56 − n

Answers

Answer:

A. c = 1.56n

Step-by-step explanation:

Hope this helps!

Stealing your points like how you stole mine! +*♡

Don't answer someone's question with some nonsense and then delete it; especially when I spent over an hour on that one question. I will surely delete my answers after this and still have my 30 points...

don't reap what you sow :)

You can search that up if you don't even know what that means.

Have a nice day! +*♡

Hope this helped.

Help me, save my life.

Answers

25^2 or 5 hope this helps

Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?

Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

Giving the following information:

Loan A: 9.265% nominal rate, compounded weekly

Loan B: 9.442% nominal rate, compounded monthly

Loan C: 9.719% nominal rate, compounded quarterly

To calculate the effective annual rate, we need to use the following formula:

Effective annual rate= [(1+i)^n] - 1

Loan A:

i= 0.09265/52= 0.001782

Effective annual rate= [(1.001782^52) - 1]

Effective annual rate= 0.097 = 9.7%

Loan B:

i= 0.09442/12= 0.007868

Effective annual rate= [(1.007868^12) - 1]

Effective annual rate= 0.0986 = 9.86%

Loan C:

i= 0.09719/4= 0.02439

Effective annual rate= [(1.02439^4) - 1]

Effective annual rate= 10.11%

Answer:

c

Step-by-step explanation:

Danielle makes the claim that when the polynomial x^2-3x-10 is divided by x-5, the remainder is 0. Use what you have learned about dividing polynomials to either verify that Danielle is correct or prove that she is incorrect. What arguments would you use to support your claim

Answers

Answer:

Daniel is correct

Step-by-step explanation:

Given the polynomial P(x) = x^2-3x-10

To check that the remainder is zero if divided by x - 5, we will first have to equate x - 5 to zero and get x;

x - 5 = 0

x = 5

Then find P(5)

P(5) = 5^2 - 3(5) - 10

P(5) = 25 - 15 - 10

P(5) = 25-25

P(5) = 0

This shows that x - 5 is a factor of the polynomial since P(5) gave us zero according to the factor theorem

The ratio of green houses to white houses in Queens is 5 to 7. There are 63 white houses, How many green houses are there?

Answers

45 to 63

Your welcome my guy

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24 cards, which was 20% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?

Answers

Answer:24 cards - 20%= 19.2

Step-by-step explanation:

nine divide by the quantity x plus y

Answers

7(x + 9 ) - x

Explanation:

the quantity x plus 9 is written x + 9 , plus meaning add.

times the quantity means multiply the quantity x + 9 multiplied by 7

this is written 7(x + 9 )

finally minus x means subtract x

putting it all 'together' we get 7(x + 9 ) - x

Express each ratio as a fraction in its simplest form 6 minutes to 1 hour

Answers

Answer:

1:10

Step-by-step explanation:

1 hour is 60 minutes, so the ratio is 6:60.

To simplify, divide both sides by 6.

Thus, you get:

1:10.

Exchange rates help you to know ____.

when it is best to travel

how much your currency is worth in another currency

what other economies think of your money

when to exchange your money

Answers

Answer:

B

Step-by-step explanation:

how much your currency is worth in a different currency

hope this helps <3

Please help!! I’ll mark you as brainliest if correct

Answers

Answer:

n(n-1)/2 use this. U may check for 5

What is the decimal equivalent of 3 over 9?

a. 0 point 2 bar.
b. 0 point 3 bar.
c. 0 point 4 bar.
d.0 point 5 bar.

Answers

Answer:

the answer is b)0.3.......

Answer:

Concept: Conversions

[tex] \frac{3}{9} = \frac{1}{3} = 0.33[/tex]Give Brainlist

which decimal is less than 0.8 and greater than 0.02

A.0.81

B.0.46

C.0.86

D.0.006

Answers

Answer:

The decimal is 0.46

Step-by-step explanation:

Given

Less than 0.8

Greater than 0.02

Required

Determine the decimal

Let the decimal be x

Such that:

[tex]x < 0.8[/tex] and [tex]x > 0.02[/tex]

Rewrite as:

[tex]x > 0.02[/tex] and [tex]x < 0.8[/tex]

Rewrite as:

[tex]0.02 < x[/tex] and [tex]x < 0.8[/tex]

This can be merged to give:

[tex]0.02 < x<0.8[/tex]

From the list of given options, only 0.46 fall in this range because:

[tex]0.02 < 0.46<0.8[/tex]

So:

[tex]x = 0.46[/tex]

(a) Solve for x.
(b) Solve for M.
y=Mx + b

Answers

Answer:

a) [tex]x=\frac{y}{m}-\frac{b}{m}[/tex]

b) [tex]m=\frac{y}{x}-\frac{b}{x}[/tex]

Step-by-step explanation:

We are given the equation:

y = mx + b

Part A:

[tex]y=mx+b\\\\mx+b=y\\\\mx+b-b=y-b\\\\mx=y-b\\\\\frac{mx=y-b}{m}\\\\\boxed {x=\frac{y}{m}-\frac{b}{m}}[/tex]

Part B:[tex]y=mx+b\\\\mx+b=y\\\\mx+b-b=y-b\\\\mx=y-b\\\\\frac{mx=y-b}{x}\\\\\boxed{m=\frac{y}{x}-\frac{b}{x}}[/tex]

Hope this helps!

4. A car uses 5 gallons of gas for every 120 miles it travels. a. Complete the table. Graph the values. Gas (gal) 20 Distance (mi) 120 360 b. How many gallons of gas does the car use if it travels 600 miles? c. How far can the car travel if it uses 30 gallons of gas?​

Answers

Answer:

14400 gallons of gas

Step-by-step explanation:

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