represent the following situations using quadratic equation in standard form
1. If the square of a number is added to 8 times the number, the result is 100
2. Mr. Apoloan wants to lay out a rectangular playground with an area of 30 square feet. The desired length will be 7 times the width​

Answers

Answer 1

1. If the square of a number is added to 8 times the number, the result is 100.

Let x be the number.

Equation: x² + 8x - 100 = 0

2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.

Area: 30ft²

Length: 7w

Width: w

Area of a rectangle: LW

(7w)w = 30ft²

Equation: 7w² - 30 = 0


Related Questions

Lois is baking pies and cakes for a family party. The pie recipe calls for cups
of vegetable ol, and the cake recipe calls for 1 cups of vegetable oil. If Lois
wants to bake 2 pies and 2 cakes, how many cups of vegetable oil does she
need?

Answers

Answer:

the answer to your question is is 5 and more

lcm.who knows this?

Answers

It could be the 36th

FIND THE MEAN:
GRADES GIVEN
81, 70, 65, 89,70

Answers

Answer:

x-bar = 75

Step-by-step explanation:

81 + 70+ 65 + 89 + 70 =3 375

375/5 = 75

75 sorry if that’s wrong

A __________ is a specific number whose value does not change.

Answers

Answer:

Constant

Step-by-step explanation:

What is the value of one over 10 divided by 3 over 5.?

Answers

Answer:

0.00666666666

Step-by-step explanation:

- by nævis

Answer:

1/6

Step-by-step explanation:

If a coin is flipped 50 times, in how many ways could there be exactly two tails?

Answers

Answer:

if u eat 50 apples in a month how many of them will be bitter or sweat.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

it has a 50 50 percent chance of landing on tails each time

Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
• They are perpendicular because their slopes are
negative reciprocals.
They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.

Answers

Answer:

The answer is A

Step-by-step explanation:

4. Brice found three recipes for blueberry syrup. Of the ingredients, the ingredients only
differed on the amount of blueberries and sugar:
Classic Blueberry syrup: 6 cups blueberries and 2 cups sugar
Homestyle Blueberry syrup: 2 cups blueberries and 1/2 cup sugar
Country Blueberry syrup: 20 cups blueberries and 7 cups sugar
Which recipe will be the sweetest?
A Classic Blueberry syrup: 6 cups blueberries and 2 cups sugar
B Homestyle Blueberry syrup: 2 cups blueberries and 1/2 cup sugar
Country Blueberry syrup: 20 cups blueberries and 7 cups sugar

Answers

The answer would be A&C) the classic blue berry syrup because for each cup on blueberries you’re using 1/3 cup of sugar. Whereas, if you made the home style, you would be using 1/4 cup of sugar per cup of blue berries.

Show all steps
question is in the photo.

Answers

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

Answer:

[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]

HELP PLEASESSSSDEDDnkdksksk

Answers

Answer:

x= -3

Step-by-step explanation:

The slope is -1 so starting at the y-intercept going backwards, follow the line till you find y=7 and look at the x

I don’t know but hope u have a good day and don’t let any1 ruin it

This is due in 20 minutes, help, please.
Sergio spent $65 at the gas station. He paid $3 per gallon for gas and $7 on candy and soft drinks. How many gallons of gas did Sergio buy?

Write a algebraic equation for the word problem above.

Question 1 options:

3 + 7 + g = 65


65 + g = 7


7g + 3 = 65


3g + 7 = 65 (What I chose)

Question 2

Write an algebraic equation for the word problem below.

How old am I if 226 reduced by three times my age is 133?

Question 2 options:

3a - 226 = 133


226 - 3a = 133 (My answer)


133 - 3a = 226


3a - 226 = 133

Question 3

rite an algebraic expression for the word problem below.

The sum of three consecutive numbers is 72. What are the three numbers?

Question 3 options:

3n = 72


1 + 2 + 3 = 72


a + b + c = 72


n + (n + 1) + (n + 2) = 72 (My answer)

Question 4

Write an equation for the word problem below.

It costs $5 plus $2 per mile to ride in a taxi. Hannah took a taxi from her house to school this morning. She paid the taxi driver $25 when she got to the school. How many miles is it from Hannah's house to her school?

Question 4 options:

2m + 5 = 25


5m - 2 = 25


25 + 2m = 5


5m + 2m = 25 (My answer)

Question 5 (Unsure if I'm correct)

rder the steps for writing an algebraic equation from real life word problems.

Question 5 options:

2
Identify all the important information

3
Define the variable

4
Write an equation using the important information and the variable

1
Read through the entire problem

Answers

Answer:

1) You were right

2) Also correct

3) Again, correct

4) Wrong, the correct answer is 2m + 5 = 25

5) Correct

Step-by-step explanation:

1) Sergio spent a total of 65 dollars at the gas station. He spent 3 dollars per gallon and 7 on snacks.The equation will be:

3g + 7 = 65

2) 226 reduced by ( - ) 3 times your age ( 3a ) is ( = ) 133?

226 - 3a = 133

3) The sum of three consecutive numbers is 72.

n + ( n + 1 ) + ( n + 2 ) = 73

4) It cost 5 plus 2 per mile.The total spent was 25

2m + 5 = 25

5)

1. Read the entire problem.

2. Identify all the important info.

3. Define the variable

4. Write an equation using the important information and the variable

Solve for x plzzzzzzzz

Answers

Answer:

x=5

Step-by-step explanation:

Since the two angle are corresponding, they have equal measure

therefore, 22x=110

now that we have produced an equation, solve for the value of x

22x/22 = 110/22

x=5

hope this helps :)

Answer:

22x=110° (corr angles)

x=110÷22

=5

If B = x + 10 and C = x + 2 , find an expression that equals 2B + 2C in standard form.

Answers

Answer:

4x+24

Step-by-step explanation:

B = x+10

C = x+2

2B + 2C = 2(x+10) + 2(x+2) = 2x+20+2x+4 = 4x+24

I don’t understand any of these, please can someone help

Answers

Answer:

you have to answer the question and then solve the question

What is the value of Measure of angle a + measure of angle b
3 lines intersect to form 5 angles. Clockwise, from top left, the angles are b, 90 degrees, c, 124 degrees, a.

A. 34°

B. 56°

C. 90°

D. 180°

Answers

I’m pretty sure the answer is letter b or a

Answer:

D)

Step-by-step explanation:

Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6

Answers

Answer:

Mean 5.3, Median 6, Mode 6, Range 7

Step-by-step explanation:

First we arrange the numbers from smallest to the largest. (When you are done count them to see if you have the same amount of numbers that you had before you arrange them.)

1, 3, 5, 6, 6, 6, 7, 8

Mean: is the average of all the numbers :add all numbers / how many numbers we have

(1+ 3+ 5+ 6+ 6+ 6+ 7+ 8) /8 = 42/8 = 5.25 ≈5.3 (rounded to the nearest tenth)

Median: is average of the 2 numbers that are in the middle 1, 3, 5, 6, 6, 6, 7, 8

(6+6)/2 = 6

Mode: is the number that appears the most so is 6

1, 3, 5, 6, 6, 6, 7, 8

Range: is the difference between the highest and the lowest value

1, 3, 5, 6, 6, 6, 7, 8

8-1 = 7

Answer:

Mean- 42

Median- 6

Mode- 6

Range- 7

Step-by-step explanation:

Apps L4L Bookmarks
Reading
100%
Use the information to answer the question.
The graph of a linear system is shown
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What is the solution to this linear system? Enter a value in each box to create an ordered pair.
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Jasmine McElroy, ID#***11
Growth: Math 6+ CA 2010
Question # 33

Answers

Answer:

(2, 7)

Step-by-step explanation:

The answer is (2,7)
you find the answer by finding where the two lines meet

Find the total cost of a $32 Uber ride with a 15% tip.

Answers

Answer:

$36.8

Step-by-step explanation:

i just calculated it!

32*15% = 4.8

32+4.8= 36.8

There is a bag with only milk and dark chocolates.

The probability of randomly choosing a dark chocolate is

7/12

There are 35 dark chocolates in the bag and each is equally likely to be chosen.

Work out how many milk chocolates there must be.

Answers

Answer:

25

Step-by-step explanation:

[tex] \frac{7}{5} = \frac{35}{x} [/tex]

cross multiply

[tex]7x = 175[/tex]

Divide

[tex]175 \div 7 = 25[/tex]

Find the measure of the indicated angle.

Answers

Answer: 88

Step-by-step explanation: angle B and C are equal. equation would be 46+46+X=180

if mary has 36,392 ants and mary gives her 37,993 times that amount plus 3833 fewer ants how many ants does mary have? PLZ HELPP

Answers

Answer:

i dont know

Step-by-step explanation:

sorry

someone please help


Find the factored form of the expression. Check your answer.

2x^2 + 2 = 0

(looking for an answer

with )

Answers

Answer: 2(x^2 + 1)

Step-by-step explanation: its either that or no solution for this question

Grand Prix racing cars cover a 120 km race at the following
average speeds. How long do the first five cars take to
complete the race? Answer in minutes and seconds.
First 240 km/h
Second 220 km/h
Third 210 km/h
Fourth 205 km/h
Fifth 200 km/h

Answers

First: 240km/1hour=120km/?hour
Cross multiply and divide
(120*1)/240= 0.5hour
Second: 220km/1hour=120km/?hour
Cross multiply and divide
(120*1)/220=0.545hour
Third: 210km/1hour=120km/?hour
Cross multiply and divide
(120*1)/210= 0.571hour
Fourth: 205km/1hour=120km/?hour
Cross multiply and divide
(120*1)/205= 0.585hour
Fifth: 200km/1hour=120km/?hour
Cross multiply and divide
(120*1)/200= 0.6hour

help
please
please
please

Answers

Step-by-step explanation:

x = price of pants

y = price of top

x + y = 36

x = (4/5)y

we use the second equation as substitute in the first

(4/5)y + y = 36

4y + 5y = 180

9y = 180

y = $20

x = (4/5)y = (4/5)×20 = 4×4 = $16


Please help me out I can’t not afford to fail math right now I will mark brainliest when it lets me

Answers

the answer would be 5
that's because 5 to the power of 2 is 25

Answer:

x = 5, -5

Step-by-step explanation:

17+x^2=42

-17        -17

x^2 = 25

x = + or - root of 25

x = 5,-5

how to solve 125×-1=25×+3​

Answers

Answer:

x=1/25

Step-by-step explanation:

mr gardener is makin 6 treat bags.he has 185 chocloate coverd raisins. how many chocolate coverd rasins will be on each bag

Answers

Answer:

30

Step-by-step explanation:

he will still have extra but not enough to make another bag

four times a number increased by 5 is equal to45​

Answers

Answer:

Your answer is 10.

Step-by-step explanation:

45 - 5 = 40

40 / 4 = 10

Hope this helps!

Answer:

45-4=41

41-4=10

Step-by-step explanation:

10*4=40


A scale model of a bus is 12 inches long. The scale is 1:21. How many inches long is the bus it
represents?

Answers

its 304.8 milimeter

The actual length of the bus that the scale model represents is 252 inches.

To find the actual length of the bus represented by the scale model, you can use the scale ratio.

Given:

Scale model length = 12 inches

Scale ratio = 1:21

Let "x" be the actual length of the bus.

Using the scale ratio:

Scale model length / Actual length = Scale ratio

12 inches / x inches = 1/21

Now, solve for "x":

x = 12 inches / (1/21)

x = 12 inches × 21

x = 252 inches

Therefore, the actual length of the bus that the scale model represents is 252 inches.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ3

1
What is the solution to the equation
=
X+ 3
?
2x4
x = -3
x = -3 and x = 0
ооо
x = 0 and x = 3
O x= 3

Answers

Answer:

X+3 = 3x

2x4 = 8

_3x

check out the remaining answer

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