Problem 2) write an equation for the following situation.
Jacob raises goats. He spends $75 to set up his goat pen. He has to spend $12 per day to feed
his goats.

Answers

Answer 1

Answer:

75 + 12d

Step-by-step explanation:

he pays $75 dollars up front. he then pays a rate of $12 per day

Answer 2
12X + 75 = Goat cost in all.
Reason: x is your days, 12 is cost per days, +75 is what he spent setting up his goat pen!

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Answers

Answer:

Step-by-step explanation:

a) $3.30/6kg = 0.55 dollars per kilogram

b) 448km/7h = 64 kiliometres per hour

For each unit rate, divide the units in where usually the biggest one is on top

Have a good one

What is true about multiples of 6?
Each multiple will always be divisible by 3.

Each multiple will always end in a 6 or a 2.
Every multiple is an odd number.
Every other multiple is an odd number

Answers

Answer:

Each multiple will always be divisible by 3

Step-by-step explanation:

Answer:

the answer would be Each multiple will always be divisible by 3.

An Investment of $10,000 yields 8% interest compounded quarterly.

What will be the accumulated capital after 6 months?
What will be the accumulated capital after 5 years?

Answers

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

The principal amount of investment = $10,000Interest Rate = 8% = 0.08number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]

[tex]\mathbf{A = 10000(1.02)^2}}[/tex]

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

i.e. when time (t) = 5 years

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]

[tex]\mathbf{A = 10000(1.02)^20}}[/tex]

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

https://brainly.com/question/14295570?referrer=searchResults


Subtract 2y - 3 from 8y-2.

Answers

Answer:

2(3y-2)

Step-by-step explanation:

Collect like terms

6y-4

Simple terms

2(3y-2)

9. A cup of tea costs x pence. Coffee costs 20 pence more. Hermes buys 2 cups of tea and one cup of coffee. In total Hermes pays £3.80. Work out the cost of a cup of tea.​

Answers

Answer:

£1.20

Step-by-step explanation:

Given:

Tea = xCoffee = x + 0.2

Comparing the total cost, work out the value of x:

2x + x + 0.2 = 3.803x = 3.60x = 1.20

-108y^4 - 4y
I just need the steps, screw the answer if you want.

Answers

Answer:

-4y(3y + 1) (9y^2 - 3y + 1)

Step-by-step explanation:

-108y^4 - 4y

= -4y(27y^3 + 1)

= -4y(3y + 1) (3^2y^2 - 3y + 1)

= -4y(3y + 1) (9y^2 - 3y + 1)

Answer:

-4y(3y + 1) (9y^2 - 3y + 1)

Solve for x and y. (Geometry)
Can you also show the steps of how u did it

Answers

Answer:

y = 10

x = 25

Step-by-step explanation:

From the U theorem the sum of these two angles 120+2x+y = 180

same goes for the bottom part too:

2x-y+140 = 180 now add two equations up

120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)

4x + 260 = 360 subtract 260 from both sides

4x = 100 divide both sides by 4

x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25

2*25 - y + 140 = 180

50 - y + 140 = 180 add like terms

190 - y = 180 subtract 190 from both sides

-y = -10 and y = 10

You are driving to a city that is 23 miles away. So far, you have driven 10 miles. How many more miles do you have to drive?

Answers

Answer:

13

Step-by-step explanation:

23-10=13 you have 13 miles more to drive.

can someone please help me

Answers

Answer:

x = 1 and it's undefined yaaaaaaaaaaa

please help asap!!
-
-
-
-

Answers

Answer:

a. y = 2x + 1

b. 20

Step-by-step explanation:

a. With each increasing figure, two more blocks are added on. Through this, we can determine the rule:

y = 2x + 1

y being the total number of blocks in a figure

x being the number of the figure.

_________

b. To figure out which figure number has 41 squares, we can set the equation we found equal to 41.

41 = 2x + 1

40 = 2x

20 = x

So figure 20 will have 41 squares.

Brita has a monthly budget of x dollars. Every month, $1,425 is spent on her mortgage. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?


y=x−1,4253

y=1,425−x3

y=1,425+x3

y=x+1,4253

Answers

Answer:

y=1,425-×3

Step-by-step explanation:

the x has to be divided by the 1/3

Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than the boys​

Answers

Answer:

18

Step-by-step explanation:

The boys collected:

12 · 16 = 192

The girls collected:

15 · 14 = 210

So the girls collected 18 more cans more than the boys.

(Integers calculation)

What is the square root of 18 plus the square root of 2? And is it rational or irrational?

Answers

The answer is (rounded to the nearest tenth) about 5.7 and since neither 18 or 2 have a perfect square, so this is irrational.

Can someone help me with these two? Please

Answers

For 16/18 it would be 8/9
For 10/15 it would be 2/3

Answer:

8/9 and 2/3

Step-by-step explanation:

find common factor with each of the numbers and divide by that

16 and 18, 2 is the gcf.

16/2=8   18/2=9

the gcf in the second one is 5.

10/5=2  15/5=3

Hope this helps!

Which quantities appear to be in a proportional relationship?

Answers

Answer:

Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.

Help pls :) thanks!!!!!

Answers

Given :-

A bag has 20 counters .16 are green .

To find :-

The probability that it is green .

Solution :-

As we know that ,

P = Total no. of favourable outcomes/Total number of possible outcomes

Substitute ,

P(of getting a green ) = 16/20 P(of getting a green ) = 4/5

Answer:16/20 equals 4/5

Step-by-step explanation:they are asking what is the probability that it is green so we know that 16 counters is green and total counters is 20 so it’s 16/20 and then you simplify it the answer is 4/5

USE THE CLUES TO CRACK THE CODE
The digits of the code are 4,4, 0, and 2.
The number is less than 1.
The value of the thousandths digit is
value of the hundredths digit.
the
10

Answers

Answer:

Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.

what are the two possible names for the line between a reflection

Answers

Answer:

Line m, because if you put a mirror on m, one figure will be truly reflected in another

line m.. it will be reflected with a mirror

Which graph represents the table only A or B

Answers

Show a clear picture

What is an advantage of debt consolidation?
A. You will pay a higher interest rate.
B. You will have one monthly payment to manage.
C. You will have less time to make payments.
D. You will need to meet with a debt counselor.

Answers

An advantage of debt consolidation is: B. You will have one monthly payment to manage.

What is Debt consolidation?

Debt consolidation can be defined as the way in which a person borrow  or collect a loan so as to payoff their old debt or liabilities.

One of the advantage of debt consolidation loan is that you will have one monthly payment to manage or one bill to pay  per  month instead of several bill.

Therefore the correct option is B.

Learn more about debt consolidation here:https://brainly.com/question/11199005

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What’s the rise over run ?????

Answers

M= rise/run M= 5/2
Y intercept= -3

1) There are 44 dogwood trees currently in the park. Park workers will plant more
dogwood trees today. When the workers are finished there will bę 70
dogwood trees in the park. How many dogwood trees did the workers plant today?

Answers

Answer:

26

Step-by-step explanation:

there are already 44 dogwood trees

there will be 70 dogwood trees by the end of the day

we take how many dogwood trees there already are and subtract them from what there will be

70-44=26

Select the final coefficient (factor) and radicand after simplifying
372 +39–162 - 372

A) -9
B) 5
C) 16
D)-8
E)-4
F)6


Answers

it's C 16

hope it helps

#carry on learning!
-123…………………………………..…

The product –2 • (–5) is shown on the number line. A number line shows an arrow from 0 to negative 5 labeled negative 5, another arrow from negative 5 to negative 10 labeled negative 5, and another arrow from 0 to 10 labeled the opposite of 2 times negative 5. Complete the sentences to explain how the model on the number line could be used to find the answer. Starting at 0 move twice to the left______ spaces. 2 • (–5) = ______. The answer is the opposite of that value, ______ .

Answers

Answer:

Starting at 0 move twice to the left___5___ spaces. 2 • (–5) = ___-10___. The answer is the opposite of that value, ___10___ .

Step-by-step explanation:

The required blank space is filled by the numbers, 5, -10, and 10.

Given that,
Starting at 0 move twice to the left______ spaces. 2 • (–5) = ______. The answer is the opposite of that value, ______ . To determine the solutions for the blank spaces.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

here,
The number line 2(-5), shows that move twice to the left 5 spaces.
And This results in -10 spaces having to move, and the outcome is the opposite of the number 10.

Thus, A complete solution is "Starting at 0 move twice to the left 5 spaces. 2 • (–5) = -10. The answer is the opposite of that value, 10.

Learn more about number line here:

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m/5=3(2m+1) verbal expression

Answers

Answer:

m = -15/29

Step-by-step explanation:

1) Distribute

[tex]\frac{m}{5} =6m+3[/tex]

2) Subtract 6m from both sides of the equation

[tex]\frac{m}{5} -6m=6m+3-6m[/tex]

3) Simplify

a. Find common denominator

[tex]\frac{m}{5} +\frac{5(-6)m}{5} =6m+3-6m[/tex]

b. Combine fractions with common denominator

[tex]\frac{m+5(-6)m}{5} =6m+3-6m[/tex]

c. Multiply the numbers

[tex]\frac{m-30m}{5} =6m+3-6m[/tex]

d. Combine like terms

[tex]\frac{-29m}{5} =6m+3-6m[/tex]

e. Combine like terms

[tex]\frac{-29m}{5} =3[/tex]

4) Multiply all terms by the same value to eliminate fraction denominators

[tex]5 *\frac{-29m}{5} =5*3[/tex]

5) Cancel multiplied terms that are in the denominator

[tex]-29m=5*3[/tex]

6) Multiply the numbers

[tex]-29m=15[/tex]

7) Divide both sides of the equation by the same term

[tex]\frac{-29m}{29} =\frac{15}{-29}[/tex]

8) Simplify

a. Cancel terms that are in both the numerator and denominator

[tex]m=\frac{15}{-29}[/tex]

b. Divide the numbers

[tex]m=-\frac{15}{29}[/tex]

what is the gradient of the line (-4, 10) to (-2, 6)

Answers

Answer:

(2,-4)

Step-by-step explanation:

-4+2=-2

10+-4=10-4=6

What is the surface area of a cube if it has one side that is 40 cm

Answers

the answer to that problem is 9600cm. each side of surface area will be the same multiplied together

Callie had $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, what is the price of one potato?

Answers

Answer:

Step-by-step explanation:

cost of 6 potatoes=24.65-18.95=5.70 $

cost of 1 potato=5.70÷9=0.95 $

HELP ME PLEASE!!!!! I NEED THIS BRAINIEST IF CORRECT ANSWER!!!!!

Answers

Answer:

- 3/4 feet per hour

Step-by-step explanation:

Rate of change is the slope.

Take two points on the graph and use the slope formula.

Points:

(0, 9) and (4, 6)

The slope is:

m = (6 - 9)/(4 - 0) = -3/4

2x2 + 2x-4?
Which expression is equivalent to
2x2 - 4x + 2
X+2
X-1
X-2
o – 2
x+2
X-2

Answers

Answer:

2x^2 +2x-4
——————
2x^2-4x+2

Factor out 2 from the expression

2(x^2+x-2)
—————-
2(x^2-2x+1)

Write x as a difference

2(x^2x-x-2)
—————-
2(x^2-2x+1)

Use a^2-2ab+b^2=(ab)^2

2(x^2x-x-2)
—————-
2(x-1)^2

Reduce the fraction with 2

x^2x-x-2
—————-
(x-1)^2

Factor out x from the expression

X*(x^2)-x-2
—————-
(x-1)^2

Factor out negative sign from the expression

X*(x+2)-(x-2)
—————-
(x-1)^2

Factor out x+2 from the expression

(x+2)(x-1)
—————-
(x-1)^2

Simplify the expression

x+2
——
x-1

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