Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. He also wants to sell the juice at cost for $4.50 per quart. Which equation below represents the situation?

A. 3.60(q – 4) + 25.20 = 4.50q
B. 3.60q + 25.20 = 4.50(q + 4)
C. 6.30(q – 4) + 14.40 = 4.50q
D. 6.30q + 14.40 = 4.50(q + 4)

Answers

Answer 1

Answer:

The correct answer is D

Step-by-step explanation:

Cost of q quarts of Cranberry juice will be: $ 6.30q  and cost of 4 quarts of apple juice will be $ (3.60×4)= $ 14.40.  Total quarts of items would be q+4 , and he also wants to sell the juice at cost for $4.50 per quart.  That means that the total cost to sell the juices will be $4.50(q+4) . Also, Total cost= Cost of q quarts of cranberry juice+cost of 4 quarts of apple juice.


Related Questions

So what is a dilation and how will it effect the image and the preimage(i have 8th grade math).

Answers

Answer:

In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image).

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The running track behind the local gym is 3/ 4
mile long. The track and field team ran 2 2/3
laps around the track. How many miles did the team run? PLZZ help its timed

Answers

Answer:

2 Miles.

Step-by-step explanation:

[tex]2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{3}*\frac{3}{4}=\frac{2}{1}*\frac{1}{1}\\\\[/tex].

Your final answer is 2 miles.

Solve for A, w = 7a + 4b

Answers

Answer:

a= 7w-28b

Step-by-step explanation:

w= 7a +4b

           -4b

w-4b =7a

w/7 - 4b/7 =7a/7

a= w/7 -4b/7

a= 7w-28b

18 percent of 68 is what

Answers

18 percent of 68 is a decimal, 12.24. Hope this helps.

EVALUATE USING ALGEBRIC IDENTITES
1204²

Answers

Answer:

1449616

Step-by-step explanation:

Willy's candy shop selld special bags of candy. Amy bought 5 bags and found she had 60 pieces of candy. Mia bought 10 bags and found she had 130 pieces of candy. How many pieces of candy are there per bag?

Answers

Answer:

There are 12 pieces of candy in Willy's bags and 13 pieces of candy in Mia's bags.

Step-by-step explanation:

Draw it out.

What is the value of 30 minus 2 (7 + 2) minus 1?
A.11
B. 14
C. 17
D. 19

Answers

Answer:

A. 11

Step-by-step explanation:

30 - 2(7+2) - 1

30 - 2(9) -1

30-18- 1

12-1

11

Answer:

30 - 2(7+2) -1

PEMDAS

Parentheses first

30 - 2(9) -1

Then multiply and divide

30 - 18 -1

Then add and subtract

12-1

11

Step-by-step explanation:

Find the height a 17-foot ladder can reach on the side of a building when it
hits the ground at a 65° angle.
A. 7.2 ft
B. 15.4 ft
C. 36.5 ft
D. 48 ft
E 224 ft

SHOW EXPLANATION

Answers

Answer:

B. 15.4 ft

Step-by-step explanation:

this answer, without any formulas used, can be answered correctly and logically.

answer c, d and e are eliminated as the opposite side cant be greater than the hypotenuse.

now we have to find which is correct between a and b

the answer will be 'B' as the value of sine of an angle keeps increasing as the angle itself increases. thus, giving a bigger value of the opposite side (required height). as 15.4 ft.

mathematically,

sin65° = x/17

17 × sin65° = x

where x is height of the side of the building.

Which rate describes a unit price. $1.00 for 2 lemons. $3.00 for every pound. $4.00 for 3 slices of pizza. $6.00 for every 6 bottles.

Answers

Answer:

I believe it would be $3 per pound.

Let me know if I'm incorrect!

Answer:

It is C

Step-by-step explanation:

i can verify because i took the test and got 100

2/11 inch thick. How thick will a stack of 15 magazines be?

Answers

wait do you mean that one magazine is 2/11 inches thick

Jane has $125 in her bank account. Her cell phone bill is $47 a month. If she pays that bill two months in a row and doesn’t buy anything else or deposit any money, how much money does she have left?

Answers

47+47=94

125-94=31

She will have 31 dollars left

HELP ASAP JUST NEED THE ANSWER PLEASE

Answers

Answer:

1

Reason:

There can only be one answer for prime numbers.

Answer:

1 beause 11 is an odd number so there are no mulipules

They are wrong, it's actually 19683 pennies.

Answers

Answer:

It is actaully 19683.0 lol

Step-by-step explanation:

Answer:

I thought it was 42069 i guess i was wrong

Step-by-step explanation:

Write the equation of the line that passes through point (-4, 3) and has a
slope of 5.

Answers

Answer:

T

Step-by-step explanation:

It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they work together it would take them 2 hours to retile their bathroom. How long would it take for Delia to retile the bathroom alone?

Answers

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

[tex]\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}[/tex]

[tex]\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}[/tex]

[tex]\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}[/tex]

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

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

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

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

When converting a mixed number to improper you add a nominator and or number then multiply the sum with the numerator true or false

Answers

Answer:

the answer is false. you first multiply the number by the numerator then add it to the denominator

It costs 24 bollars for 16 tickets.
What is the price of one ticket?

Answers

Answer:

1.5 dollars

Step-by-step explanation:

24/16=1.5

Answer:

if 16 tickets cost 24 dollars how about one

if 16tkts = 24 dollars

how about 1 tkt = ?

1×24=24

24÷16 = 1.5 dollars or you round off to the nearest 5 cents Making the answer to be 2 Dollars per ticket

What is the y-intercept of 3x+5y=−30 ?

(0,−6)

(−6,0)

(10,−6)

(0,10)

Answers

Answer: (0,-6)

Step-by-step explanation:

To find the y-intercept, we can rewrite the equation into slope-intercept form.

3x+5y=-30            [subtract both sides by 3x]

5y=-3x-30             [divide both sides by 5]

y=-3/5x-6

Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).

Which point-slope equation represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answers

Answer:

The equation is y = (-4/5)x + 2/5.

Step-by-step explanation:

In a slope form equation, y = mx + b where m represents gradient/slope and b is the y-intercept. Given that the slope is -4/5 so you have to find the value of b by substituing the coordinates into the equation :

[tex]y = - \frac{4}{5} x + b[/tex]

[tex]let \: x = 3,y = - 2[/tex]

[tex] - 2 = - \frac{ 4}{5} ( 3) + b[/tex]

[tex] - 2 = - \frac{12}{5} + b[/tex]

[tex]b = - 2 + \frac{12}{5} [/tex]

[tex]b = \frac{2}{5} [/tex]

[tex]y = - \frac{4}{5} x + \frac{2}{5} [/tex]

PLEASE HELP!! how do I prove that vertical angles are congruent???

Answers

Answer:

a b

Step-by-step explanation:

Una empresa comercial vende automóviles cuyo precio es de S/.60000, con una cuota inicial del 20 % , para cancelar el saldo en treinta meses de plazo . Calcula la cuota fija mensual que se pagara si la empresa cobra una tasa de interes simple del 12% semestralmente

Answers

Responder:

$ 2560

Explicación paso a paso:

Dado lo siguiente:

Importe total (A) = 60000

Pago inicial = 20% de A

Pago inicial = 0,2 * 60000 = 12000

Importe pendiente de pago = (60000 - 12000) = 48000

Calcular el interés simple sobre el saldo de 48000 = principal

principal * tasa * tiempo

(48 000 * 0,12 * (30/6))

48000 * 0,12 * 5 = 28800

Por tanto, el importe total a pagar durante 30 meses será:

(48 000 + 28800) = 76800

Dado que el pago mensual es fijo:

Pago mensual = (monto total a pagar / cantidad de meses)

Pago mensual = (76800/30)

Pago mensual = $ 2560

ASAP! PLEASE HELP! ILL GIVE BRAINLY! This is really needed now

Answers

Answer:

∠ABD = 48

Step-by-step explanation:

use symbolab

(x+15)=(4x-12)

x+15-15=4x-12-15

x=4x-27

x-4x=4x-27-4x

-3x=-27

divide both sides by 3 and you get x=9

then put 9 in to replace x

((9) + 15) + (4 (9) - 12)

=24 + (4 (9) - 12)

= 24 + 24

=48

ur welcome

Complete the synthetic division problem below. -31 2 - 2 3 What is the quotient in polynomial form?​

Answers

Answer:

the answer is // x^2 - x +1 (apex)

Step-by-step explanation:

2HT Butter House Bakery is famous for its butterscotch treat bars. The bakers always make a regular batch and a smaller gluten-free batch. To make a regular batch, the bakers use 5 cups of butterscotch chips and 16 cups of regular flour. To make a gluten-free batch, they use 3 cups of butterscotch chips and 8 cups of gluten-free flour. Which batch has a stronger butterscotch flavor?

Answers

Answer:

The gluten-free has stronger flavor of butterscotch

Step-by-step explanation:

Given

Regular Batch:

5 cups of butterscotch chips and 16 cups of regular flour.

Gluten-free batch

3 cups of butterscotch chips and 8 cups of gluten-free flour.

Required

Which batch has stronger butterscotch flavor

First, we need to determine the percentage of butterscotch in both flavors by using:

[tex]\% = \frac{Butterscotch}{Total} * 100\%[/tex]

For Regular:

[tex]\%= \frac{5}{5 + 16} * 100\%[/tex]

[tex]\%= \frac{5}{21} * 100\%[/tex]

[tex]\%= \frac{500\%}{21}[/tex]

[tex]\%= 23.81\%[/tex]

For Gluten-free

[tex]\% = \frac{3}{3 + 8} * 100\%[/tex]

[tex]\% = \frac{3}{11} * 100\%[/tex]

[tex]\% = \frac{300\%}{11}[/tex]

[tex]\% = 27.27\%[/tex]

Comparing both,

We can see that the percentage of butterscotch in gluten free batches is greater than that of regular batches

Hence:

The gluten-free has stronger flavor of butterscotch

Find the volume:
the picture below

Answers

Answer:

1,848m

Step-by-step explanation:

7x24x22= 3,696

Since it's a triangle, we split it into 2.

3,696÷2= 1,848

Therefore, your answer is 1,848.

Hope this helps!

Please ASAP thank you

Answers

Answer:

<5 ~= <1 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5~= <7 - Vertical Angles Theorem

line l || line m - Transitive Property

Jo is going on an 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday. How many different schedules are possible?

Answers

Answer:

6 ways

Step-by-step explanation:

Given

Number of Sports: 3

Required

Determine the total number of schedules

Since, there are 3 sports and the schedule is in no particular order.

The number of schedules is calculated as thus:

[tex]Number = n!\ ways[/tex]

Where:

[tex]n = 3[/tex]

So, we have:

[tex]Number = 3 * 2 * 1\ ways[/tex]

[tex]Number = 6\ ways[/tex]

Answer:

882

Step-by-step explanation:

Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882

What number must be subtracted from both the numerator and the denominator of 5/3 to obtain a Fraction equal to 5/7 ?

Answers

Answer:

Step-by-step explanation:

Let the number = x

So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.

You can write this as:

[tex]\frac{ 5-x}{3 - x} = \frac{5}{7}[/tex]

Then you want to get rid of the fractions so multiply both sides by 3-x

[tex]5 - x =[/tex] [tex]\frac{5 ( 3 - x)}{7}[/tex]

Then multiply both sides by 7

[tex]7( 5 - x) = 5 ( 3 - x)[/tex]

Multiply it out.

35 - 7x = 15 - 5x

Add 7x to both sides:

35 = 15 - 5x + 7x

35 = 15 + 2x

Subtract 15 from both sides

35 - 15 = 2x

20 = 2x

To find x, divide both sides by 2.

x = 10.

Write the ratio as a fraction, in simplest form. (do not label)
60 teachers to 1,800 students

Answers

Answer:

1/30

Step-by-step explanation:

4 to the power of -1

Answers

Answer:

0.25

I hope this helps!

Answer:

1/4

Step-by-step explanation:

Negative exponents basically flip the number upside down,

so 4 ^ -2 would be 1/4^2

where the four has a power of 2.

The answer would therefore be 1/16

Numbers to the power of 1, is just the same number, so if you have negative exponents, it would be the same 4, except flipped over.

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