Write and solve an equation for this situation. In one baseball season, Peter hit twice the difference between the number of home runs Alice hit and 3. Altogether, they hit 9 home runs. How many home runs did each player hit that season? Let h represent Alice's home runs. Alice hit home runs. Peter hit home runs.

Answers

Answer 1

Answer:

Y=8

Step-by-step explanation:

The difference between the number Alice hit and 6 is X - 6.  Twice that would be 2(X-6).  So Y = 2(X-6).  We also know that X + Y = 18 so we have 2 equations:

 

Y = 2(X-6)

X+Y = 18

 

Let's take the second equation and solve for Y in terms of X

 

Y = 18 - X

 

Now take that result and substitute that back into the first equation that starts with Y, because now you know that Y is also equal to 18 - X, now you have:

 

18 - X = 2(X - 6)

 

Let's solve for X

 

18 - X = 2X - 12

18 - 3X = - 12

- 3X = - 30

X = 10 <--number of home runs Alice Hit

 

That leaves us with Y = 8  <---number of home runs Peter hit

 

Go back to the original question and make sure the answer fits.  The difference between 10 and 6 is 4 and twice that is 8, the number Peter hit.  10 + 8 = 18.  Good to go!


Related Questions

The diameter of the circle below measures 7 cm.
7 cm
What is the approximate area of the circle?
A. 22 cm
B. 14 cm
C 38 cm2
D 154 cm

Answers

Answer:d

Step-by-stedp explanation:

3 times the sum of half of a number and 8 is 11

Answers

Answer:

makes no sense 8 is 11 ???

Step-by-step explanation:

Answer:

3 ( [tex]\frac{1}{2}[/tex] + 8) = 11

Which of the following is equivalent to the complex number 10?
Choose 1 answer:

Answers

Answer:

complete your question bro cause I dont understand

Calculate the total score for each competitor. Then, put the five competitors in order from first place to fifth place.
1. first Yuzuru Hanyu
2. second Denis Ten
3. third Javier Fernandez
4. fourth Patrick Chan
5. fifth Tatsuki Machida

Answers

Answer:

Yuzuru, Patrick, Denis, Javier, Tatsuki

I hope it helpedヽ(✿゚▽゚)ノ

Why do people eat green beans?

Answers

Answer:

to grow andeat healthy

Step-by-step explanation:

to be healthy and be stronger since it’s good for u

کی خا ر کیا - وکی

English please

Answers

Answer:Fank yew mate tea my yellow teeth

Step-by-step explanation:tea tea tea tea tea tea tea tea tea teateatea tea

On friday taylor babysat for 4 hours and was paid $60. on saturday she babysat for 2 hours and was paid $30. what is the rate taylor charges to babysit

Answers

Answer:

15 dollars per hour

Step-by-step explanation:

She is constantly charging 15 per hour.

Answer:

She gets paid 15 dollars an hour.

Step-by-step explanation:

60 divided by 4 would be 15 and also 30 divided by 2 is 15

how do you differentiate linear equation from those equatipn which are not linear?​

Answers

Answer:

the x

Step-by-step explanation:

Looking at the x in an equation can reveal its shape. A linear graph can look like y=x, y=mx, y=mx+b (m being any number).

When you look at graphs that aren't linear, the x doesn't stand alone in the equation.

Parabolas have a y=x^2 equation. Cubic graphs are y=x^3. They have something attached to the x.

To see all the different kinds of equations and what their graphs look like you can search up "parent functions" and all the basic formulas show up.

what is a 60% out of 100

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

60% of 100 is 60

▹ Step-by-Step Explanation

60% of 100:

- You can write this as a fraction or decimal. In this case, both of them will work just fine but we can go with fractions.

60% is written as 6/10 as a fraction or 0.6 as a decimal.

[tex]\frac{6}{10} * 100\\ =\frac{600}{10} \\= 60[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

60%out of 100 is 40%

Step-by-step explanation:

100-60

ASPPPPPP!!!
Help

Select the graph of the function f(x) 1/2x^2. Then find the value of f (x) when x=-4

Answers

The answer should be b
The other one should be 8

What is the decimal multiplier to increase by 1.7%?

Answers

17 is the correct answer

Kenny had a total of 140 minutes to read, do homework, and play video games.
He spent x minutes reading.
He spent 2(x+5) minutes doing homework
He spent 25 minutes playing video games
How many minutes did Kenny spend reading
Help fast Please

Answers

Answer: 35minutes

Step-by-step explanation:

Minutes spent reading = x

Minutes spent doing homework =2(x+5) = 2x + 10

Minutes spent playing video games = 25minutes

Total minutes used = 140 minutes

x + 2x + 10 + 25 = 140

3x + 35 = 140

3x = 140 - 35

3x = 105

x = 105/3

x = 35 minutes

If the measure of one interior angle of a regular polygon is 156° , how many sides does it have?

Answers

Answer:

The polygon has 15 sides

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that in a regular polygon, each angle measures

[tex]\displaystyle \frac{180(n-2)}{n}[/tex]

The regular polygon's interior angle is 156°, thus

[tex]\displaystyle \frac{180(n-2)}{n}=156[/tex]

Multiply by n:

[tex]180(n-2)=156n[/tex]

Operate:

[tex]180n-360=156n[/tex]

Reducing:

[tex]24n=360[/tex]

Solving:

[tex]n=15[/tex]

The polygon has 15 sides

m−4=2m what's the value of m

Answers

M would equal four, I believe


2z + 4x + 9y -y + 3

Answers

Answer:

Step-by-step explanation:

2z+4x+9y-y+3

2z+4x+8y+3

=2z+4x+8y+3

During a cat food sale, a pet store sells 220 cans of cat food. At the end of the
sale, the store has 80% of the original number of cans of cat food. How many
cans of cat food are left?

Answers

Answer:

44 cans

Step-by-step explanation:

To find 80%, just multiply 220 by 0.8

220 x 0.8 = 176.

Now, take 220 and subtract 176.

220-176 = 44

44 cans are left over. Hope this helps.

if 6+x=13, then find the value of 8x-31.

Answers

the value of 8x-31 is 25

Answer:

The answer is 25.

Step-by-step explanation:

First, you solve 6+x=13. Minus 6 from each side. You get x=7.

Next, plug x into the equation 8x-31. You get 8(7)-31. Solve 56-31, which you then get 25.

Find values for p and q so that x = 4 is the only solution to the equation.

px - 8 = 5x + 9

Answers

Answer:

Step-by-step explanation:

Given the equation px - 8 = 5x + 9, we can only find the value of p when x = 4.

To get p, we will substitute x = 4 into the expression as shown:

p(4)-8 = 5(4)+9

4p - 8 = 20+9

4p - 8 = 29

4p = 29+8

4p = 37

p = 37/4

p = 9 1/4

Hence the value of p so that x = 4 is the only solution is 9 1/4

Question 1
Correctly match the step for solving systems of equations with the correct answer choice.
1
Drag the boxes to match the answers
Step 1:
=
?
Graph the y-intercept (0,b) in each of the
systems
Step 2
?
After drawing both lines, find the
intersection of the two lines. This point(s)
is your solution
Turn each equation into slope-intercept
form
Step 3:
=
?
(y = mx + b)
Step 4:
?
Use the slope to create points which you
will connect in order to form the line of
each equation

Answers

Answer:

sorry but i need some points right now so just ignore this

Step-by-step explanation:

Answer:

uhhh whats this for?

Step-by-step explanation:

An electrician charges a base fee of $60 plus $50 for each hour of work. The minimum the electrician
charges is $160. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of
work. Determine the domain and range of the relation in context and explain whether or not this
represents a function.
X
у
1
2
3
4

Answers

160-110=50

50/4=12.5

The electrician charges $12.50 per hour, or $50 for 4 hours.

This is not a function for the fact that 1, 2, 3, and 4 all go to the same value.

Which expression is equivalent to 32−−√−3x2–√+38–√?

Answers

Answer:

8

Step-by-step explanation:

The indices question is not properly written. Find the correct expression in the attachment

[tex]-32^{\frac{3}{5} }[/tex] [tex]= (\sqrt[5]{-32})^3[/tex]

for [tex]\sqrt[5]{-32}[/tex]

we need a value to multiply 5 times that will give us -32;

[tex]\sqrt[5]{-32} = -2[/tex]

substitute the answer in the original expression

[tex]= (\sqrt[5]{-32})^3\\= 2^3[/tex]

Evaluate the resulting indices

[tex]2^3 = 8\\[/tex]

Hence the expression [tex]-32^{\frac{3}{5} }[/tex] is equivalent to 8

A bank offers a 4% annual interest rate for a savings account. Juan puts $5,000 into an account to save for college. How much will be in the account after a year?
$

Answers

Answer:

5,200$

Step-by-step explanation:

Answer:

5200

Step-by-step explanation:

5000 x 1.04 = 5200

hope this helps :D

Complete the third step to solve the equation.

3 + 2x = -6x + 4

1. Isolate the variable term on one side: 3 + 8x = 4

2. Isolate the constant on the other side: 8x = 1

3. Solve for x: x =

Answers

Answer:

x=1/8

could you also please mark me as brainliest?

Answer:

1/8

Step-by-step explanation:

i just got it right on the test

Carrie needs 4 1/2 cups of flour for a recipe. She can only find a 1/4 cup measuring cup. How many times will Carrie need to fill this measuring cup to have enough flour for the recipe?

Answers

Answer:

Carrie will need to fill the measuring cup 18 times to have enough flour for the recipe.

Step-by-step explanation:

There are four 1/4's in one cup and two 1/4's in a 1/2 cup. So 4 times 4 equals 16 and 2 times 1 is 2. Add those together and you get 18 times. Sorry if it was confusing.

Aylor bought 6 tickets to a movie. The price of each ticket was the same. After he bought the tickets, his account balance showed a change of −$68.04. What would have been the change to Taylor's account balance had he only bought 1 ticket to the movie? (5 points)

Answers

Answer:

-$11.34

Step-by-step explanation:

Cost of 6 tickets = $68.04

Aylor's account balance showed a change of −$68.04

Cost of 1 tickets = cost of 6 tickets / 6

= $68.04 / 6

= $11.34

change to Taylor's account balance had he only bought 1 ticket to the movie will be -$11.34

2 to the power of 46
is how many times as many as 2 to the power of 42,

Answers

Answer: 16

Step-by-step explanation:

I need help with this question.
Kaitlin has two puppies. Puppy A weighs 12 pounds and is gaining 1.5 pounds each week. Puppy B weighs 18 pounds and is gaining 0.75 pounds each week. How many weeks, x, will it take for the two puppies to weight the same amount? What equation did you use to find the value of x?

Answers

Answer:

x = 36

Step-by-step explanation:

The LCM (least common multiple) of 18 and 12 is 36.

Solve for p in the literal equation 4p + 7r = 4.
P =

Answers

Answer:

p= 1-7r/4

hope this helps

ANSWER ASAP PLEASE !!!!!!!!!
Using the Distributive Property, find the product of the expression 7(22) and then simplify.
7(20) + 7(2) = 155
7(20) − 7(2) = 154
7(20) + 7(2) = 154
7(20 − 2) = 154

Answers

Answer: 7(20) + 7(2) = 154

factorise 4xy²(x-1)(x+2) ​

Answers

Answer:

4x^3y^2+4x^2y^2- 8xy^2

Step-by-step explanation:

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