If a person drinks 8 cups of apple juice per month, how many gallons will he drink in one year?

Answer:

x=49/3

Step-by-step explanation:

move all terms that don't contain x to the right side and solve the problem.

Answer:

Step-by-step explanation:

7.  3x + 6 = 55

          - 6   - 6

  3x = 49

 /3      /3

x = 49/3  OR  x = 16.33

8.  50 = 6x + 2

    - 2          - 2

    48 = 6x

    /6    /6

     8 = x

Check/verify your answer:

50 = 6x + 2

50 = 6(8) + 2

50 = 48 + 2

50 = 50

This statement is correct.

Hope this helps!

Answer:

3 7/10

Step-by-step explanation:

Hope this helps and good luck!

Answer: [tex]3\frac{7}{10}[/tex] or [tex]\frac{37}{10}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Follow these steps I made for you.

Step 1: Convert [tex]8\frac{4}{5}[/tex] to an improper fraction. Use this rule: [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex].

[tex]\frac{8 * 5 + 4}{5} - 5\frac{1}{10}[/tex]

Step 2: Simplify 8 × 5 to 40.

[tex]\frac{40 + 4}{5} - 5\frac{1}{10}[/tex]

Step 3: Simplify 40 + 4 to 44.

[tex]\frac{44}{5} - 5\frac{1}{10}[/tex]

Step 4: Convert [tex]5\frac{1}{10}[/tex] to an improper fraction. Use this rule [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex].

[tex]\frac{44}{5} - \frac{50 * 10 + 1}{10}[/tex]

Step 5: Simplify 5 × 10 to 50.

[tex]\frac{44}{5} - \frac{50 + 1}{10}[/tex]

Step 6: Simplify 50 + 1 to 51.

[tex]\frac{44}{5} - \frac{51}{10}[/tex]

Step 7: Find the Least Common Denominator (LCD) of [tex]\frac{44}{5}, \frac{51}{10}[/tex]. In other words, find the Least Common Multiple (LCM) of 5, 10.

LCD = 10

Step 8: Make the denominators the same as the LCD.

[tex]\frac{44 * 2}{5 * 2} - \frac{51}{10}[/tex]

Step 9: Simplify. Denominators are now the same.

[tex]\frac{88}{10} - \frac{51}{10}[/tex]

Step 10: Join the denominators.

[tex]\frac{88- 51}{10}[/tex]

Step 11: Simplify.

[tex]\frac{37}{10}[/tex]

Step 12: Convert to a mixed fraction.

[tex]3\frac{7}{10}[/tex]

~I hope I helped you! :)~

Try 75% ..... I'm not good at math at all though but that's just common sense

The time practiced in the 12 days is an illustration of proportions

The given parameters are:

Days = 12

Proportion = 3/4

So, the number of hours is:

Hours = Days * Proportion

This gives

Hours = 12 *3/4

Hours = 9

Hence, she practices a total of 9 hours in the 12 days

There are 60 minutes in an hour.

So, we have:

Minutes = 9 * 60

Minutes = 540

Hence, she practices a total of 540 minutes in the 12 days

Read more about proportions at:

https://brainly.com/question/1781657

Answer:

y=4/3x-2

Step-by-step explanation:

We know the base equation is mx+b and the y-intercept is at -2 so we can determine that as the b value. The m value is 4/3 because if you look at where the line meets the next point is over 3 and up 4 indicating that the m value is 4/3. Hope this helps!

The equation of the line is y = 4/3x -2.

The y-intercept is -2 because the line crosses the y-axis at (0,-2).

The slope is 4/3x because the rise over run of the line is 4/3.

Step-by-step explanation:

[tex]4(m - 15) = 7m + 9[/tex]

[tex]4m - 60 = 7m + 9[/tex]

[tex] - 60 - 9 = 7m - 4m[/tex]

[tex] - 69 = 3m[/tex]

[tex]m = \frac{ - 69}{3} [/tex]

[tex]m = - 23[/tex]

Hello!

4(m-15)=7m+9

4m -60 =7m +9

-60 -9 = 7m -4m

-69 = 3m

3m = -69

m = -69/3

m = -23

Answer: 55 degrees

Step-by-step explanation:

Angle sum of a triangle = 180 degrees

40+85= 125

180-125= 55

Answer:

his brother

Step-by-step explanation:

because 2 foot 7 inches in inches is 31 inches so therefore his brother has the longer fish.

1 foot = 12 inches.

2 feet x 12 = 24 inches + 7 = 31 inches.

Daves fish was 31 inches.

his brothers fish was bigger.

Answer:

  y = (x/(1-x))√(1-x²)

Step-by-step explanation:

The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:

  x = r·cos(θ)

  y = r·sin(θ)

  x² +y² = r²

__

  r = sec(θ) -2cos(θ)

  r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)

  r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²

  (x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations

  x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor

  y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)

  [tex]\boxed{y=\dfrac{x\sqrt{1-x^2}}{1-x}}[/tex]

__

The attached graph shows the equivalence of the polar and rectangular forms.

Answer:

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

Step-by-step explanation:

The total cost is given by

TC= 10 . 50 + 1 . 50 ( n − 1 )

She orders same 5 lunches for $ 75

$ 75= 5{ 10 . 50 + 1 . 50 ( n − 1 ) }

Or

Cost of 1 lunch would be $ 15

$ 75/5 = { 10 . 50 + 1 . 50 ( n − 1 ) }

or

$ 15 = 10 . 50 + 1 . 50 ( n − 1 )

$ 15-$  10 . 50 = 1 . 50 ( n − 1 )  

$ 4.5/ 1.5= n-1

$ 3= n-1

3+1= n

n= 4

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

She spent

$ 1.50 ( 4-1) = $ 4.5 each day or $22.5 on side dishes for 5 days.

Answer:

y > x² – 2x – 3

y > 3x + 4

Step-by-step explanation:

took the test, this is the only answer choice that matches the image of the graph shown in the problem. hoped this helped.

Answer: c y < x2 – 2x – 3y > 3x + 4

Step-by-step explanation: it correct

a. What percentage of the students do not have a scholarship?

     80% don't have a scholarship

b. How many students have a scholarship?

     800 students

c. How many students don't have a scholarship?

3200 students dont have a schscholarship

Step-by-step explanation:

I guess, the flower bed is a true rectangle, right ?

so, then, the perimeter of that rectangle is

2×length + 2×width = 2×78 + 2×60 = 156 + 120 = 276 in.

1 ft = 12 in

276 in = 23 ft

she can only buy a bundle of 40 ft.

that means she will have

40 - 23 = 17 ft left.

Answer:

D) -54

Step-by-step explanation:

To solve this question, simply plug in -8 for x:

f(-8)=6(-8-1)

f(-8)=6(-9)

f(-8)=-54

Hope this helps!!

☆▪︎y=-x-4▪︎☆

☆▪︎mark me brainlist ▪︎☆

Answer:

Erik uses 8 centimeters of tape to wrap each present.

Step-by-step explanation:

16 centimeters can wrap 2 presents.
24 centimeters can wrap 3 presents.
Add both amounts of tape together to find the total amount of tape used.  Then add the number of presents wrapped together.
16 + 24 = 40 centimeters
2 + 3 = 5 presents
40/5

In order to find how much tape wraps one present, divide both the top and bottom by the denominator (5)
40/5 = 8 centimeters
5/5 = 1 present

Erik uses 8 centimeters of tape to wrap each present.

Answer:

x = 10

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

∠ E = ∠ B , that is

5x = 50 ( divide both sides by 5 )

x = 10

9514 1404 393

Answer:

  b: 7^18 / 7^9

  c: (7^3)^3

  e: 7^4 * 7^5

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

__

The given expression is ...

  [tex]7^8\cdot7=7^8\cdot7^1=7^{8+1}=7^9[/tex]

The offered alternatives are ...

  [tex]\textbf{a: }7^3\cdot7^3=7^{3+3}=7^6\quad\textbf{not equivalent}\\\\\textbf{b: }\dfrac{7^{18}}{7^9}=7^{18-9}=7^9\quad\textbf{equivalent}\\\\\textbf{c: }(7^3)^3=7^{3\cdot3}=7^9\quad\textbf{equivalent}\\\\\textbf{d: }7^4+7^5=7^4(1+7)=8\cdot7^4\quad\textbf{not equivalent}\\\\\textbf{e: }7^4\cdot7^5=7^{4+5}=7^9\quad\textbf{equivalent}[/tex]

Step-by-step explanation:

That is, the event A ∪ B will occur if either A or B occurs. In Example 4.1(a), if A = {g} is the event that the child is a girl and B = {b} is the event that it is a boy, then A ∪ B = {g, b}.

Associative law: (E ∪ F)∪G = E ∪ (F ∪ G)

Distributive law: (E∪F)G=EG∪FG

Commutative law: E ∪ F = F ∪ E

Answer:

(a) ER = 29.5

(b) SR = 29.5

(c) DR = 18.6

Step-by-step explanation:

(a) PE=ER, ES is a perpendicular bisector of PR.

(b) Tryangle SER is an isosceles triangle, therefor SR is = to ER.

(c) QD = DR, DS is a perpendicular bisector of QR.

Bisectors cut and angle or line in half.

Perpandicular means makes a 90 degree angle.

Answer:

1x-8

Step-by-step explanation:

Answer:

Jeff can make 48 sandwiches.

Step-by-step explanation:

[tex]6[/tex]  ÷ [tex]\frac{1}{8}[/tex]

KCF

6 ÷ [tex]\frac{8}{1}[/tex] = 48

Answer:

what kind of problem? if it's for brainly, scroll to the bottom of the page and  press help and you can fill out an email thing to brainly from there

Step-by-step explanation:

have a great day! I hope this helps! <3

mast3rmind~

brainliest pls, if you want :)

Answer:

Yes!

Step-by-step explanation:

https://brainly.com/app/contact

Fill that out and they would get back to you!

Brainliest appreciated! :D

Have a good day/afternoon/night!

Answer:

44, definition below

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer: I think it's 44

Step-by-step explanation: Outlier means the one that stands out from the rest. As you can see most of the numbers are in between 50 and 90 but 44 is not so it is 44.

Hope it helped :D

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 60}}{\left( \cfrac{25}{100} \right)60}\implies 15[/tex]

about Mark and his Pizzas

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{35\% of 12}}{\left( \cfrac{35}{100} \right)12}\implies 4.2~\hfill \underset{cheaper~price}{\stackrel{12~~ - ~~4.2}{7.80}}[/tex]

Given:

Ratio is [tex]2\dfrac{1}{4}:6\dfrac{3}{4}[/tex]

To find:

Convert this ratio to a unit rate.

Solution:

We have,

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{2\times 4+1}{4}:\dfrac{6\times 4+3}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{8+1}{4}:\dfrac{24+3}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{9}{4}:\dfrac{27}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{\dfrac{9}{4}}{\dfrac{27}{4}}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{9}{27}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{1}{3}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=0.333...[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}\approx 0.33[/tex]

Therefore, the unit rate is about 0.33.

Answer:

[tex]59 + 30c \leq 125[/tex]

2 rooms

Step-by-step explanation:

Given

[tex]Base\ Amount = \$59[/tex]

[tex]Additional = \$30[/tex] per carpet

[tex]Customer\ Budget = \$125[/tex]

Required

Write an inequality to determine the situation

Represent the number of carpets with c

First, we need to determine an expression for the cleaner's charges:

This is:

[tex]59 + 30 * c[/tex]

[tex]59 + 30c[/tex]

Since the customer's budget do not exceed $125.

This implies that the cleaner's charges must be less than or equal to the budget.

So, we have:

[tex]59 + 30c \leq 125[/tex]

Solving further: [Collect Like Terms]

[tex]30c \leq 125 - 59\\[/tex]

[tex]30c \leq 66[/tex]

Divide through by 30

[tex]c \leq 66/30[/tex]

[tex]c \leq 2.2[/tex]

Since number of rooms can't be fraction;

The maximum number of rooms the customer can afford is 2

Answer:

No sé exactamente de qué se trata el ejercicio, hay muchas respuestas posibles

Step-by-step explanation:

Step-by-step explanation:

Width = 4x + 3

Length = 2(4x + 3) = 8x + 6

Area = Width x Length

Area = (4x + 3)(8x + 6)

Area = 32x² + 24x + 24x + 18

Area = 32x² + 48x + 18

Answer:

a) Rs. 2425.55, Rs. 2626.36 (2 d.p.)

b) Rs. 1320

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

hey please follow back me I follow you and I am good in Science and Maths

Answer:2/1

Step-by-step explanation:

Y1-y2/ x1-x2= 2/1