help is neededdd please ​

Help Is Neededdd Please

Answers

Answer 1

Answer:

C. [tex]\displaystyle y = \frac{1}{2}x + 10[/tex]

Step-by-step explanation:

9 = ½[−2] + b

1

[tex]\displaystyle 10 = b \\ \\ y = \frac{1}{2}x + 10[/tex]

** Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so −2 becomes ½.

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Related Questions

Find the x- and y-intercepts of the line
(-6.-6), (2, -4)
The x-intercept is

Answers

Answer:

x-int = 18

y-int = -9/2

Step-by-step explanation:

Use slope-intercept form y=mx + b

To find the slope, substitute the two points into the slope formula and solve.

[tex]m  = \frac{y2 - y1}{x1 - x1} \\m  = \frac{-4 - (-6)}{2 - (-6)} \\m = \frac{2}{8}\\m= \frac{1}{4}[/tex]

Substitute a random point (2,-4) and m=1/4 into slope-intercept form

y = mx+b

-4 = 1/4 (2) + b

-4 = 2/4 + b

-4 = 1/2 + b

Isolate b to solve

b = -4 - 1/2

b = -8/2 - 1/2

b = -9/2    <= this is the y-intercept

b is the y-intercept in slope-intercept form

Substitute b= -9/2 and m=1/4 to get the equation of the line.

y = 1/4 x - 9/2

Substitute y for 0 to find the x intercept

y = 1/4 x - 9/2

0 = 1/4 x - 9/2

9/2 = 1/4 x

x = (9/2) / (1/4)

x = (9/2) X (4/1)

x = 36/2

x = 18

Simplify (4-2)^5

A. 4^10

B. 4^3

C. 1/4^3

D. 1/4^10​

Answers

Answer:

the answer is 1/4 ^10

Step-by-step explanation:

subtract the polynomials (4x^ - 3x + 8) - (2x^ + 2x - 5)

Answers

Answer:

2x^2-5x+13

Step-by-step explanation:

(4x^2-3x+8)-(2x^2+2x-5)

4x^2-2x^2-3x-2x+8-(-5)

2x^2-5x+8+5

2x^2-5x+13

What equation represents this coordinate grid?

Answers

the answer is m = 2/5x + 3

2 fourths in simplest form

Answers

First let’s write down what 2 fourth would look like. It would look like 2/4 (on the computer/phone it looks a little different, if you were to write it out the 2 would be over the 4). Now think is there anything that 2 and 4 can both be divided by. The answer is yes! They can both be divided by 2. So divide them both by 2. 2 divided by 2 is 1, and 4 divided by 2 is 2. So your answer becomes 1/2, or one half. There is nothing else they can both be divided by so that’s your final answer.

The school principal determined that 1/4 of the original students schools desks would need to be replaced this year. 50 teachers would also received new, improved desks. A total of 295 student and teacher desks were purchased. How many original students desks were there before the purchase was made?

Answers

Answer:

The  number of original students desk were there before the purchase is 980 .  

Step-by-step explanation:

Given as :

The total number of students and teachers new desks to be purchased = 295

The number of teacher's new desk to be purchased = 50

So , The number of student's new desk to be purchased = 295 - 50 = 245

The number of student's new desk to be replaced this year = [tex]\frac{1}{4}[/tex] of the original students desk

Let The number of original students desk were there before the purchase = x

Or, According to question

[tex]\frac{1}{4}[/tex] of x = 245

Or, x = 245 × 4

∴   x = 980

Hence The  number of original students desk were there before the purchase is 980 .  Answer

An item was listed price of $60. If the sales tax rate is 6%, how much is the sales tax (in dollars)

Answers

60 x .06= $3.6
if you want to know the price for the item after tax you add the amount of sales tax to the original price which gives you the total amount :)

PLEASE HELPS ME WITH MATHS I HAVE TIMER FOR 6mis!! :'(
Subash created the two-way table below. Teams Team A Team B Total Boys 15 18 33 Girls 17 31 Total 32 32 According to the table, how many girls were on team B? 14 15 17 18

Answers

Answer:

Step-by-step explanation:

the answer is 14 i already took the test

The answer is A) 14.

Based on the information provided in the table, the number of girls on team B is 31.

The table shows the breakdown of boys and girls on two teams, Team A and Team B, along with the total for each category and the overall total.

Looking at the "Girls" row, we see that a total of 31 girls are represented in the data.

Since the table specifies that this is a "two-way table," implying no other teams or categories beyond Team A and Team B, we can conclude that all 31 girls must be distributed between these two teams.

The "Girls" column further shows that Team A has 17 girls.

Therefore, the remaining 31 girls - 17 girls (Team A) = 14 girls must be on Team B.

Question:

Subash created the two-way table below. Team A  and Team B. Total Boys are 33 and distributed in both the teams, where A has 15 and B has 18 boys. Total Girls are 31, where team A includes 17 girls. Both the teams have total 32 members. According to the table, how much girls were on team B?

A) 14

B) 15

C) 17

D) 18

Susan bought 2 3/4 pounds of potato salad at $5.60 a pound. How much did she spend?

Answers

Answer:

$15.40

Step-by-step explanation:

first, let's find the 3/4. to find this, just multiply the decimal form, .75 by the price per pound because then we get the amount for 3/4 pound. that number is $4.20. next, we need to find the 2 pounds by multiplying the price per pound by the 2 pounds, which gets us $11.20. add those together and you get $15.40.

Decide whether the pair of lines is parallel, perpendicular, or neither.
3x - 6y = -13 and
18x + 9y = 5
A) Parallel
B) Perpendicular
C) Neither

Answers

The lines are:  B) Perpendicular

Step-by-step explanation:

we have to convert both lines in slope-intercept form to find slopes

So,

[tex]3x - 6y = -13\\-6y = -3x-13\\\frac{-6y}{-6} = \frac{-3x-13}{-6}\\\frac{-6y}{-6} = \frac{-3x}{-6}+\frac{-13}{-6}\\y = \frac{1}{2} +\frac{13}{6}[/tex]

Let m1 be the slope of first line

[tex]m_1 = \frac{1}{2}[/tex]

For the second line:

[tex]18x + 9y = 5\\9y = -18x+5\\\frac{9y}{9} = \frac{-18x+5}{9}\\\frac{9y}{9} = \frac{-18}{9}x+\frac{5}{9}\\y = -2x+\frac{5}{9}[/tex]

Let m2 be the slope of line 2

So,

If the lines are parallel, their slopes are equal

If the lines are perpendicular, product of their slopes is -1

We can see that

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

Hence,

The lines are:  B) Perpendicular

Keywords: Slopes, Parallel lines

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Final answer:

The lines given by the equations 3x - 6y = -13 and 18x + 9y = 5 are neither parallel nor perpendicular because their slopes, 1/2 and -2 respectively, are neither equal nor negative reciprocals of each other.

Explanation:

To decide whether the pair of lines given by the equations 3x - 6y = -13 and 18x + 9y = 5 is parallel, perpendicular, or neither, we need to find the slope of each line. First, we convert the equations into the slope-intercept form, which is y = mx + b where m is the slope.

For the first equation, 3x - 6y = -13, we solve for y:

-6y = -3x - 13y = (1/2)x + 13/6

The slope of this line is 1/2.

For the second equation, 18x + 9y = 5, we also solve for y:

9y = -18x + 5 y = -2x + 5/9

The slope of this line is -2.

Since the slopes of the two lines are neither equal (which would make them parallel) nor negative reciprocals of each other (which would make them perpendicular), the lines are neither parallel nor perpendicular.

How to solve 5-2x=-4x-7

Answers

Answer:

x=-6

Step-by-step explanation:

Use Substitution

so 5-2x=-4x-7

I'ma move that -4x to the other side by making it a positive

5+2x=-7

than I'ma move that 5 to the other side by making it a negative

2x=-12

to isolate the x you dived by both sides by the 2

x=-6

I doubled checked and it's -6

Answer:

Pull out like terms: 12 + 2x = 2 • (x + 6)

Solve: x+6 = 0

Then you get; X=-6

I hope this is right and hopefully it helped you

12+3y+y=?
What is the answer?

Answers

Answer:

12+4y

Step-by-step explanation:

12+3y+y=12+4y

12+4y because I think u have to add

James and Lin got married and got new jobs. Lin earns $3100 more per year than James. Together they earn $81,980. How much does each of them earn per year?

Answers

Answer:

The earning to James per year is $ 39,440

The earning of Lin per year is $ 42,540  .

Step-by-step explanation:

Given as :

The total earning of James and Lin together = $ 81,980 per year

The earning of Lin is $ 3100 more per year than James

Let The earning of James = $ J

And The earning of Lin = $ J + $ 3100

So, According to question

The total earning of James and Lin together = $ 81,980 per year

Or, The earning of Lin +  The earning of James  = $ 81,980 per year

Or,  $ J + $ 3100 + $ J  = $ 81,980 per year

or, 2 $ J = $ 81,980 - $ 3100

Or,  2 $ J = $ 78880

∴ J = [tex]\frac{78880}{2}[/tex]

I.e The earning to James per year = $ 39,440

And  The earning of Lin per year = $ 34,440 + $ 3100 = $ 42,540

Hence, The earning to James per year is $ 39,440

And The earning of Lin per year is $ 42,540  . answer

At what angle would a carpenter cut a board to create a complementary angle if the other end was cut to 35 degrees?


45 degrees


35 degrees


60 degrees


55 degrees

Answers

Answer:

55 degrees

Step-by-step explanation:

So to figure this out, you need to know what a complementary angle is. A complementary angle is a 90 degree angle.

Now you know what a complementary angle is, all you have to do is 90-35 to find the remaining angle.

90-35=55

The answer is 55 degrees

Solve for x -1/2(x+5)=-10

Answers

Answer:

-15

Step-by-step explanation:

x-1/2(x+5)=-10

x-1/2x-5/2=-10

2/2x-1/2x-5/2=-10

1/2x-5/2=-10

1/2x=-10+5/2

1/2x=-20/2+5/2

1/2x=-15/2

x=(-15/2)/(1/2)

x=(-15/2)(2/1)

x=-15/1

x=-15

A yogurt company spends $1850 per day in fixed costs and $0.22 for each unit. Each container of yogurt sells for $1.25. Which function could you use to find the profit realized after selling x units of yogurt?show work
A) f(x) = 1.47x + 1850
B) f(x) = 0.22x + 1850
C) f(x) = 1.03x − 1850
D) f(x) = 1.25x − 1850

Answers

Answer:

C) Profit f(x) of the yogurt company after selling x units is given as :

    f(x)   = 1.03 x - 1850

Step-by-step explanation:

Here, the fixed cost spend by the company  = $1850

Also,cost per yogurt per unit = $0.22

Now, let us assume the total yogurt units sold  = x

So, the total cost for m units  = x ( cost per unit) = x ($0.22) = 0.22 x

SO, the total COST PRICE of company  = Cost of m units +  Fixed cost

                                                                    = $1850 + 0.22 x

Also,selling price of each unit = $1.25

So, the selling price of m units =  x ( per unit selling price) = x ($1.25)

                                                    =  1.25 x

   

PROFIT = SELLING PRICE - COST PRICE

or f(x)  = 1.25 x  -  $1850 + 0.22 x  

or, f(x)   = 1.03 x - 1850

Hence, the profit f(x) of the yogurt company after selling x units is given as :      f(x)   = 1.03 x - 1850

a pot of boiling soup cools at 80 degree in 12.5 minutes what is the average rate of temperature loss per minute

Answers

Average rate of temperature loss is 6.4 degrees per minute

Step-by-step explanation:

Given

Temperature =T =  80 degrees

Time = t = 12.5 min

In order to find the temperature decrease in one minute, Total decrease in temperature will be divided by time

[tex]Average\ rate\ of\ temp\ loss = \frac{80}{12.5}\\= 6.4\ degrees\ per\ minute[/tex]

Hence,

Average rate of temperature loss is 6.4 degrees per minute

Keywords: Rate of change, Average

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A rectangular living room has an area of 425 square feet the width of the room is 17 feet. What is the length of the room?

Answers

Answer:

the length of the room = 25 feet

Step-by-step explanation:

Area =W*L

Area = 17*L =425

Divide all by 17

L=25

17*25=425

The length of the room will be 25 feet.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A rectangular living room has an area of 425 square feet the width of the room is 17 feet.

Now,

Let the length of the room = x feet

Since, The area of rectangle = Width x Length

Substitute all the values, we get;

⇒ 425 = 17 × x

⇒ x = 425 / 17

⇒ x = 25

Thus, The length of the room will be 25 feet.

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Please help me and explain how you got the answer

Answers

Answer:

D

Step-by-step explanation:

Straight line (straight angle) is always 180 degrees.

The angle adjacent to 115 and 115 degree angle would sum up to 180 (straight line).

So, that angle would be:

180 - 115 = 65

Now, we know the triangle's 2 angles: 85 (given) and 65 (found), thus we can find the third angle (leftmost):

85 + 65 + third angle = 180 [sum of 3 angles in a triangle is 180]

150 + third angle = 180

third angle = 180 - 150

third angle = 30

This third angle is adjacent to w and forms a straight line, so we can write:

third angle + w  = 180

30 + w = 180

w = 180 - 30

w = 150

Correct answer is D

Use the integer tiles to find the sum of 4 and –5.

Answers

Answer:

-1 is the answer

Step-by-step explanation:

4+(-5)= -1

Represent the model shown below using a
multiplication equation.
ロロロロロ
ロロロロロ
ロロロロロ
ロロロロロ

Answers

You can represent this problem by using the multiplication problem 5x4

Answer:

5×4=20

Step-by-step explanation:

5 blocks across multiplied by the 4 blocks down equals 20 blocks all together

The quadratic function g(x) = a.ca + bx+c has the complex roots (-7+ 4i) and (-7 – 4i). You may assume that a=1. What is the value of b? What is the value of c?

Answers

The value of b is 14

The value of c is 65

Step-by-step explanation:

The quadratic equation ax² - bx + c = 0, where a = 1 has two roots

Their sum = bTheir product = c

∵ The quadratic function is g(x) = ax² + bx + c

∵ a = 1

∴ g(x) = x² + bx + c

∵ g(x) has two complex roots (-7 + 4i) and (-7 - 4i)

∴ g(x) = 0

∴ x² + bx + c = 0

∵ The general form of the quadratic equation is x² - bx + c = 0,

   with sum of roots b and product of roots c

- Compare them

∴ x² - (-b) + c = 0

∵ -b = the sum of the two roots

-b = (-7 + 4i) + (-7 - 4i)

- Add like terms

∴ -b = (-7 + -7) + (4i + -4i)

∴ -b = -14 + 0

∴ -b = -14

- Multiply both sides by -1

b = 14

The value of b is 14

∵ c is the product of the two roots

c = (-7 + 4i)(-7 - 4i)

- Remember (a + b)(a - b) = a² - b²

∵ (-7 + 4i)(-7 - 4i) = (-7)² - (4i)²

∵ (-7)² = 49

∵ (4i)² = 16i²

∵ i² = -1

∴ (4i)² = -16

∴ (-7)² - (4i)² = 49 - (-16) = 49 + 16 = 65

∴ (-7 + 4i)(-7 - 4i) = 65

c = 65

The value of c is 65

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Write an equation that has a slope of 2 and passes through the points (10,17)

Answers

Answer:

y = 2x-3

Step-by-step explanation:

y-17=2(x-10)

distribute 2 ---> y-17= 2x-20

add 17 to both sides ---> y=2x-3

The equation of the given line will be [tex]y =2x - 3[/tex]

Given that:The line has got slope = 2The given line passes through point P(10, 17)To find: Equation of that given line.

Formation of equation:

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as: [tex]y = mx+c[/tex]

Since given line has slope = 2, thus its equation will be: [tex]y = 2x + c[/tex]

The other data about the straight line will help us find the value of c.

Since the line passes through (10,17) coordinate, thus this must satisfy the equation. Putting x = 10, and y = 17 will give us:

[tex]y = 2x + c\\17 = 2 \times 10 + c\\17 = 20 + c\\c = 17 - 20 = -3[/tex]

Thus, the value o y-intercept = c = -3

Thus, the equation of considered straight line is  [tex]y =2x - 3[/tex]

The graph of this equation is given below.

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COMPARING SIMPLE AND COMPOUND INTEREST
um and Britt each deposit $5,000 into accounts that earn 5% interest. Adam's account
Sunnual simple interest while Britt's account earns annual compouna inter
ITs account earns annual compound interest. The tables below
w how much interest is earned each year for the first 3 years in Adam and Britt's accounts.
ATT
Annual compound interest
ADAM
Annual simple interest
CALCULATION INTEREST
BRITT
INTEREST
CALCULATION
$250
$250
$262.50
$250
YEAR 1 5,000.05)
YEAR 2 5,0000.05)
YEAR 3 5,000(.05)
TOTAL INTEREST EARNED:
YEAR 1 5,000(.05)
YEAR 2 5,2500.05)
YEAR 3 5,512.500.05)
TOTAL INTEREST EARNED:
$275.63
$250
$788.13
$750
a. Who will earn more interest after three years, and how much more?
b. Using the tables to help, describe any differences you notice between how Adam and Britt':
interest amounts are calculated.​

Answers

A who will earn more interest after three years , and how much ....Britt will earn more but do know how much

Britt will earn more interest after three years due to the compound interest on her account, totaling $788.13 compared to Adam's $750 from simple interest, resulting in a difference of $38.13. The key distinction lies in the interest calculation: Adam's remains constant, while Britt's increases each year due to the compounding effect.

The question involves calculating and comparing simple and compound interest earned on two separate $5,000 deposits over a period of three years at an annual interest rate of 5%.

Adam's account earns simple interest, meaning the interest each year is calculated using the original principal of $5,000, resulting in $250 of interest per year, totaling $750 after three years.

Britt's account, however, earns compound interest, with each year's interest calculated on the growing balance from the previous year.

As we can see from the tables, Britt's first year interest is the same as Adam's ($250), but it increases each subsequent year because it's calculated on the new principal (original plus accumulated interest).

After three years, Britt's total interest is $788.13, earning more interest than Adam's $750. The difference in the total interest earned after three years between Britt (compound interest) and Adam (simple interest) is $38.13.

The main difference in how interest is calculated between Britt and Adam's accounts is that Adam's interest is consistently $250 each year (calculated as $5,000 x 0.05),

while Britt's interest increases each year, demonstrating the effect of compound interest.

By Year 3, Britt earns $275.63 in interest compared to Adam's unchanged $250.

Is the discriminant of f positive, zero, or negative?

Answers

Answer:

Negative

Step-by-step explanation:

Write in point-slope form an equation of the line that
passes through the given point and has the given slope.
1. (1, 5); m = 2
2. (-2, 4); m = -3
3. (4, 2); m
= 3
4. (-1, 5); m = -2
5. (2, -4); m = -3
6. (-5, 1); m = 2​

Answers

Answer:

6. [tex]\displaystyle y - 1 = 2(x + 5)[/tex]

5. [tex]\displaystyle y + 4 = -3(x - 2)[/tex]

4. [tex]\displaystyle y - 5 = -2(x + 1)[/tex]

3. [tex]\displaystyle y - 2 = 3(x - 4)[/tex]

2. [tex]\displaystyle y - 4 = -3(x + 2)[/tex]

1. [tex]\displaystyle y - 5 = 2(x - 1)[/tex]

Step-by-step explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

can u help me.............

Answers

Answer:

2 should be your answer

Step-by-step explanation:

There is 2 horizontal and 2 vertical in total there are 2 lines of symmetry.

Matt wants to investigate the opinions of young adults in the country, ages 18 years to 25 years, about time spent playing video games. He plans to administer a survey to a sample of people. Which of the following samples is most likely to generalize to his population of interest?

Answers

A nationwide sample of people ages 18 to 25. This option provides a broader representation of the population, ensuring a more comprehensive understanding of young adults' opinions on video games. The correct choice of option is A.

Option A provides a broader representation of the population as it includes individuals from across the country, capturing a diverse range of demographics, backgrounds, and gaming habits. This sample is more likely to reflect the general attitudes and behaviors towards video games among young adults in the country.

Options B, C, and D are less likely to generalize to Matt's population of interest as they target specific subsets of individuals who may have a higher propensity for gaming or different gaming preferences, potentially biasing the survey results.

Option E, while focusing on the correct age range, is limited to Matt's hometown and may not represent the broader population's opinions and behaviors towards video games.

Therefore, option A, a nationwide sample of people ages 18 to 25, is the most likely to generalize to Matt's population of interest.

Question:-

Matt wants to investigate the opinions of young adults in the country, ages 18 years to 25 years, about time spent playing video games. He plans to administer a survey to a sample of people. Which of the following samples is most likely to generalize to his population of interest?

A)A nationwide sample of people ages 18 to 25.

B) A sample of attendees of a gaming convention

c) A sample of people who click on a link in an online gaming site

D) A sample of people who buy video games from an online store

E) A sample of people ages 18 to 25 in Matt's hometown

Based on the analysis above, the most likely sample to generalize to Matt's population of interest is: A nationwide sample of people ages 18 to 25

The correct option is (a).

To determine which sample is most likely to generalize to Matt's population of interest (young adults aged 18 to 25), let's analyze each option:

a. A nationwide sample of people ages 18 to 25:

  This option covers a broad range of young adults across the entire country, which increases the likelihood of representing Matt's population of interest. However, it may still include individuals who do not play video games, as well as those who play video games excessively. Overall, this sample is more likely to generalize to Matt's population compared to options c, d, and e.

b. A sample of attendees of a gaming convention:

  This option would likely include individuals who are particularly interested in gaming, which may not be representative of all young adults aged 18 to 25. Attendees of a gaming convention may have different gaming habits compared to the general population of young adults, making this sample less likely to generalize to Matt's population of interest.

c. A sample of people ages 18 to 25 in Matt’s hometown:

  While this sample may be convenient for Matt to access, it is limited to individuals in his hometown and may not be representative of young adults nationwide. Additionally, individuals in Matt's hometown may have different demographics and gaming habits compared to the entire population of young adults aged 18 to 25.

d. A sample of people who click on a link in an online gaming site:

  This sample is likely biased towards individuals who are already interested in gaming, as they are visiting an online gaming site. Therefore, it may not represent the entire population of young adults aged 18 to 25, especially those who do not regularly visit gaming sites.

e. A sample of people who buy video games from an online store:

  Similar to option d, this sample is biased towards individuals who are interested in video games, as they are purchasing video games from an online store. Therefore, it may not represent the entire population of young adults aged 18 to 25.

Based on the analysis above, the most likely sample to generalize to Matt's population of interest is:

a. A nationwide sample of people ages 18 to 25

complete question given below:

Matt wants to investigate the opinions of young adults in the country, ages 18 years to 25 years, about time spent playing video games. He plans to administer a survey to a sample of people. Which of the following samples is most likely to generalize to his population of interest?

a. A nationwide sample of people ages 18 to 25

b. A sample of attendees of a gaming convention

c. A sample of people ages 18 to 25 in Matt’s hometown

d. A sample of people who click on a link in an online gaming site

e. A sample of people who buy video games from an online store

Nathan hit 19 homeruns. He scored 3 fewer homeruns than twice the number of homeruns hit by jason. Write and solve an equation to show how many homeruns Jason hit

Answers

Jason hit 11 homeruns.

Step-by-step explanation:

Homeruns hit by Nathan = 19

Let,

Homeruns hit by Nathan = x

Homerun hit by Jason = y

According to given statement;

x = 2y - 3   Eqn 1

We know that Nathan hit 19 homeruns, therefore, putting x=19 in Eqn 1

[tex]19=2y-3\\19+3=2y\\22=2y\\2y=22[/tex]

Dividing both sides by 2;

[tex]\frac{2y}{2}=\frac{22}{2}\\y=11[/tex]

Jason hit 11 homeruns.

Keywords: linear equations, addition

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To complete her holiday wrapping, Bella needs identical strips of ribbon measuring 3.5 feet each. She has 85 feet of ribbon in total. About how many pieces of ribbon can she cut from this long strip? PLS ANSWER ASAP

Answers

Bella can cut 24 pieces of ribbon from this long strip

Solution:

Given that Bella has 85 feet of ribbons in total

She needs identical strips of ribbon measuring 3.5 feet each

To find: Number of peices of ribbon can she cut from long strip

Number of peices of ribbon can she cut from long strip can be calculated by dividing the total feet of ribbon she has by length of identical strips she needs

Mathematically written as:

[tex]\text { Number of Strip that can be cut }=\frac{\text { Total length of ribbon }}{\text { Length of each piece }}[/tex]

[tex]\begin{array}{l}{\text { Number of Strip that can be cut }=\frac{85}{3.5}} \\\\ {\text { Number of Strip that can be cut }=24.28 \approx 24}\end{array}[/tex]

Hence , the number of strip can be 24 each of size 3.5 feet

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