MATHEMATICS HIGH SCHOOL

Evaluate each expression for s = 2 and t = 5

-4(s)²+t³÷5

Answers

Answer 1
Answer: sub
s=2
t=5

-4(2)^2+(5^3)/5
PEMDAS

exponents first sice parentahsees are already simplified
2^2=4
5^3=125
now we have
-4(4)+125/5
multiplication or division
-4 times 4=-16
125/5=25

nowe we have
-16+26
9

answer is 9
Answer 2
Answer: -4(s)^2 + t^2 ÷ 5
-4(2)^2 + 5^2÷ 5=
-4x4 + 25/5 =
-16 + 5 = -11

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If you have an 81 for your 9 weeks grade but make a 70 on your exam whats going to be your final grade?

Answers

To do this you need the mean.
(81*9+70)/10 that is the mean equation.
Solve.
(799)/10
79.9
79.9% Will be your grade or a C

Amy simplifed this complex fraction problem. Negative 2 and one-half divided by five-fourths = Negative five-halves divided by five-fourths = negative five-halves (five-fourths) = negative StartFraction 10 over 8 EndFraction. The quotient is negative five-fourths. What errors did Amy make? Select all that apply.

Answers

Answer:

B, C

Step-by-step explanation:

Amy should have flip the numerator and the denominator of the second fraction before multiplying. She also used addition instead of multiplication for the numerators.

Answer:

B C

Step-by-step explanation:

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Answers

It's a geometric sequence.

300, 150, 75,... \n \n a_1=300 \n r=(a_2)/(a_1)=(150)/(300)=(1)/(2) \n \n S_n=(a_1 (1-r^n))/(1-r) \n \Downarrow \n S_5=(300(1-((1)/(2))^5))/(1-(1)/(2))=(300(1-(1)/(32)))/((1)/(2))=(300 * (31)/(32))/((1)/(2))=(75 * (31)/(8))/((1)/(2))=((2325)/(8))/((1)/(2))=(2325)/(8) * 2= \n=(2325)/(4)=581 (1)/(4)=581.25

The answer is 581.25.

we have that

300 + 150 + 75 +...

Let

a1=300\n a2=150\n a3=75

we know that

(a2)/(a1) =(150)/(300) \n\n (a2)/(a1)=0.5 \n \n a2=a1*0.50

(a3)/(a2) =(75)/(150) \n\n (a3)/(a2)=0.5 \n \n a3=a2*0.50

so

a(n+1)=an*0.50

Is a geometric sequence

Find the value of a4

a(4)=a3*0.50

a(4)=75*0.50

a(4)=37.5

Find the value of a5

a(5)=a4*0.50

a(5)=37.5*0.50

a(5)=18.75

Find S5

S5=a1+a2+a3+a4+a5\n S5=300+150+75+37.5+18.75\n S5=581.25

therefore

the answer is

581.25

Alternative Method

Applying the formula

S_n=(a_1 (1-r^n))/(1-r) \n\na_1=300 \n r=(1)/(2)\n\n S_5=(300(1-((1)/(2))^5))/(1-(1)/(2))\n\n=(300(1-(1)/(32)))/((1)/(2))\n\n=(300 * (31)/(32))/((1)/(2))\n\n=(75 * (31)/(8))/((1)/(2))\n\n=((2325)/(8))/((1)/(2))\n\n=(2325)/(8) * 2\n\n=(2325)/(4)\n\n=581 (1)/(4)\n\n=581.25

therefore

the answer is

581.25

*Justin is trying to determine if hehas enough money to buy a new video
game. The game cost $54.79. He
started the day with $210 in his bank
account. Looking at his receipts, he
has spent $87.35 at a clothing store,
$42.79 at a party store, and $25.68
at a gas station. Does he have enough
money to buy the video game? Beyond
estimating, explain your answer
mathematically.

Answers

Answer:

Justin does not have enough money because if you add up all the numbers you were given you get 155.82 and have 54.18 and the game costs 54.79. he is 61 cents off.

Step-by-step explanation:

HELP GIVING BRAINLIEST Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $9,100. How many more T-shirts, x, does Carlene need to sell to reach her goal?Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.

Answers

FYI:

Sorry, I can't answer your second question because I can't see any number-lines in your question. But yes, I can answer the first one.

Answer:

400 T-Shirts

Step-by-step explanation:

If each T-Shirt is $20.50, that means that Carlene has to sell lots of them in order to earn the amount of money she wants. So, to find how many T-Shirts she needs to sell in order to get $9,100, we have first remove $900 dollars from the $9,100, because she ALREADY earned it!

9,100-900=8,200

Now we have to divide $8,200 by $20.50. like this...

8,200÷20.50=400

Now, that's our answer. 400.

Carlene has to sell 400 more T-Shirts in order to earn to her goal!

Thank You! Please mark me brainliest so that I can get encouraged to make more great answers like this one!

Two sides of an isosceles triangle have lengths of 6 inches and 15 inches,respectively.FInd the length of the third side.Explain your reasoning.

Answers

Answer:

The length of the third side is 15 inches.

Step-by-step explanation:

Generally in triangles, the longest side is opposite to the greatest angle. But for an isosceles triangle, two angles are equal and so two sides opposite to these angles. The two angles are greater than the third, so the opposite sides to the angles are equal and longer than the third side.

The answer is 15. Because an isosceles is a triangle wirh two equal sides, the side will have to be either 6 or 15. But for the triangle to fot the definition, the sum of two sides must be greater than the third. It couldn't be six because 6+6<15, but 15 works because 6+15>15.
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