Sterling got money for his birthday. He spent half of his money on a coat, $74 on sneakers, $42 for a pair of shoes, and had $77 left after shopping. How much money did Sterling get for his birthday?

Answer:

[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]

[tex]x= -\frac{7+\sqrt{697}}{8}[/tex]

Step-by-step explanation:

4(x+3)-4 = 81/2x +1

Add 4 to both sides

4(x+3) = 81/2x +5

Multiply both sides by 2x (This removes the division from the second half)

8x(x+3) = 81 +10x

Simplify

[tex]8x^{2}[/tex]+24x = 81 +10x

Subtract 10x from both sides

[tex]8x^{2}[/tex] +14x = 81

Subract 81 from both sides

[tex]8x^{2}[/tex] +14x -81 = 0

Solve using the quadratic formula

[tex]x= \frac{-b (+-) \sqrt{b^{2} -4ac}}{2a}[/tex]

a= 8, b= 14, c= -81

[tex]x = \frac{-14 (+-) \sqrt{14^{2} -4 *8(-81)} }{2*8}[/tex]  

Simplify

[tex]\sqrt{14^{2} -4 *8(-81)} = 2\sqrt{967}[/tex]

[tex]\frac{-14 (+-) 2\sqrt{967}}{2*8}[/tex]

Simplified Solution

[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]

And

[tex]x=- \frac{7+\sqrt{697}}{8}[/tex]

I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.  

Answer:

72%

Step-by-step explanation:

18*4=72%

Answer:

y = -4/5x + 7/5

Step-by-step explanation:

Use slope intercept form to find the equation for the line:

y=mx+b

y= -4/5x + 7/5

Answer:

-3

Step-by-step explanation:

pls mark as brainliest

Answer:

Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.

e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.

However, if there is no change it would be just 0.

Answer:

1/2 1/6 1/6

Step-by-step explanation:

Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

Answer:

Answer is: 203.5

Step-by-step explanation:

Hope this helped YOU! :)

Answer:

d= 3/61

Step-by-step explanation:

Answer:

I think it's A and C

b║f

c║e

(I'm so sorry if it's wrong)

Hope this Helps!

Answer:

A and c are correct because i just took the test

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

The slope is 3 the y-intercept is (0,6)

hope this was helpfulllllllllllllllllllllllllllllllllll

Answer:

x=-5/2

Step-by-step explanation

y=0

0=400x=1000 divide both sides

x=-5/2

Answer:

The Answer is D: Starting amount in his savings account

Step-by-step explanation:

The y-intercept represents the starting amount in his savings account.

x = 0 for the y-intercept.

y = 400x + 1000

y = 400(0) + 1000

y = 1000

Answer:

2pi, 4pi, 6pi, 8pi, 10pi, 12pi, 14pi, 16pi, 18pi, 20pi

Step-by-step explanation:

Formula used=2p*r

Answer:

2 hours and 5 minutes or 125 minutes

Step-by-step explanation:

25minutes per class

5 classes

25 * 5 = 125 minutes = 2 hours and 5 minutes

Answer:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Step-by-step explanation:

Given the numbers:

[tex]-1 \frac{1}{4} , |-1 \frac{3}{4}| , \frac{3}{4} , -2 \frac{1}{4} , |1 \frac{1}{4}| , and |-2 \frac{1}{4}|[/tex]

To find:

The ascending order of the given numbers.

Solution:

First of all, let us have a look at the definition of absolute value function i.e. Modulus function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

i.e. if the numbers is negative, then a negative sign is added to make the number positive.

Now, let us have a look at the given numbers with modulus one by one.

[tex]|-1 \frac{3}{4}| = -(-1 \frac{3}{4})=1 \frac{3}{4}\\ |1 \frac{1}{4}| = 1 \frac{1}{4}\\|-2 \frac{1}{4}| = -(-2 \frac{1}{4})=2 \frac{1}{4}[/tex]

Smallest numbers are with negative signs.

And negative numbers with larger magnitude are smaller.

Therefore, the ascending order will be:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Answer:

Step-by-step explanation:

- 2 1/4 - 1 1/4 3/4 | 1 1/4| | - 1 3/4 | - 2 1/4 |

Answer:

228.571428 or estimate it down

Step-by-step explanation:

136 ÷ 119 = 1.14285714

1.14285714 x 200 = 228.571428

The weight of the patient who required 200 mg of medicine is 175 pounds.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

Amount of medicine = Patient's body weight.

136 mg = 119 pounds

Multiply 200/136 on both sides.

200 mg = 200/136 x 119 pounds

200 mg = 175 pounds

Thus,

The weight of the patient who required 200 mg of medicine is 175 pounds.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

4

Step-by-step explanation:

even numbers that is a multiple of 4 is a perfect square

Answer: 4 is perfect square.

Step-by-step explanation:

Answer:

Y e s

Step-by-step explanation:

N o ?

I d r k

Answer:

Whenever they are played in a commercial or a movie

Step-by-step explanation: oyriuqewyfuqasyerdb8o7iu

Answer:

a.) Commutative Property of addition

Step-by-step explanation:

Answer:

No, zack will finish first.

Step-by-step explanation:

I would rather not write it out but zack should finish first

Answer:

Every minute the coffee cooled down 2 degrees F every minute  

Step-by-step explanation:

so i took 2 to see how many times it went into 22 then i took 54 and went 2 degrees for each minute.

Answer:

Step-by-step explanation:

Temperature change is:

Rate of change in a minute:

Answer:

155

Step-by-step explanation:

• 5(15) + 80

• 75 + 80

• 155

Answer:

your questions is wrong it's 2×2-6x=56

answer= X=-9

Step-by-step explanation:

2×2-6x=56

4-6x=56

-6x=56-4

-6x=54

-X=54/6

-X=9

X=-9

Answer:

628.298507463

Step-by-step explanation:

Answer:

628.298507463

brainliest? XD

(tan(x) + cot(x)) / (tan(x) - cot(x)) = (tan²(x) + 1) / (tan²(x) - 1)

… = (sin²(x) + cos²(x)) / (sin²(x) - cos²(x))

… = -1/cos(2x)

Then as x approaches π/2, the limit is -1/cos(2•π/2) = -sec(π) = 1.

17. 30

19. 58

21. 55

23. 23