Mathematics High School

Evaluate. -2 1/4 -(-3 2/5).

Answers

Answer 1

Answer:

1 3/20

Step-by-step explanation:

1. Make them all into fractions:

-8/4 -1/4 -(-15/5 -2/5)

2. Add like-terms:

-9/4 -(-17/5)

3. A negative times a negative makes a positive:

-9/4 +17/5

4. Identify the least common denominator (LCD):

20

5. Apply:

-9x5/4x5 +17x4x/5x4

6. Solve:

-45/20 +68/20

7. Result:

23/20, simplified 1 3/20

Related Questions

Sheena made a scale drawing of her classroom using a scale of 1 inch = 10 feet. One wall of the classroom in the drawing is 4 inches long. Which proportion can be used to find x, the length of the actual wall, in feet?

Answers

Answer:

40 Feet

Step-by-step explanation:

1 inch = 10 feet

4 inch = 4 * (10 feet)

4 inch = 40 feet

Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.​

Answers

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]

[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]

Thus, the equation is TRUE.

(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]

[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]

Thus, the equation is FALSE.

(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]

[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]

Thus, the equation is FALSE.

(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]

[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]

Thus, the equation is TRUE.

(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]

[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]

Thus, the equation is FALSE.

Hi! Can someone please answer this and show work, please? Thanks!
-4(3v-4)=52

Answers

The answer is V= -3
Isolate the variable by dividing each side factors that doesn’t contain the variable .

Multi-Step Equations Escape Room
record the triangle from left to right (level 2)

Answers

Answer:

Not enough data

Step-by-step explanation:

What is the point-slope form equation of the graph?

Answers

Answer:

y-4= 1/2(x+2)

Step-by-step explanation:

What is the simplest form of expression

Answers

Answer: 6^30 (the last option)

Explanation:

In the numerator it is a power raised to a power so you multiply. It gives you 6^36.

Now you have:

6^36 / 6^6

Now you subtract the powers when you are dividing because that is the exponent rule

36 - 6 = 30

Final Answer: 6^30

) A gas station owner finds that for every penny increase in the price of gasoline, she sells 1516 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 10 cents per gallon? If she decreases the price by 2 cents per gallon?

Answers

Answer:

a) 15160 gallons

b) 3032 gallons

Step-by-step explanation:

Given that for every penny increase in the price of gasoline there is a decrease of 1516 gallons sold per week

a) when she raises the price by 10 cents per gallon

There will be a decrease of ( 1516 * 10 ) gallons sold per week i.e. = 15160 gallons

b) when she decrease the price by 2 cents per gallon

There will be an increase ( 2 * 1516 ) gallons sold per week  i.e. = 3032 gallons

can i plz get some help

Answers

Answer:

36

Step-by-step explanation:

plzz help me with this ​

Answers

Answer:

Lily is correct.

Step-by-step explanation:

Lily is correct.  There is no such thing as AAA congruence.  James has proved that the three angles are the same, but the triangles could still be of different sizes.

I NEEP HELP ASAP PLEASE AND THANK YOU

Answers

Answer:

The first answer, 3 times the square root of x squared is correct.

A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?​

Answers

Answer:

280

Step-by-step explanation:

subtract

Answer:300

Step-by-step explanation:

Evaluate the expression 7[tex]x^{2}[/tex]y, when x = 5 and y = 3. (3 points)

Group of answer choices

210

728

525

315

Answers

525.
7(5^2)(3) = 7(25)(3)
Pemdas
5 squared
Multiply 7(25) first to get 175 then times that by 3, it equals 525.

what is 7 + 7 +7+7+7+7 x 0

XD

Answers

Answer:

35

~

Just simplify the expression and you'll get:  

35

~

You might be wondering why isn't the answer 0, since anything multiplied by 0 is 0.

~

It's because to answer this question, you will need to use PEMDAS.

P, Parenthesis.

E, Exponents.

M, Multiply.

D, Divide.

A, Addition.

S, Subtraction.

~

Since we don't have parenthesis, exponents, a division sign, or subtraction sign.

All we need to do is Mutiply, and Add.

~

First we multiply, because of the PEMDAS order.

7 * 0 = 0

~

Then, since we used one of the 7's to multiply. (The one next to the 0)

We add the rest of them, not including the last seven.

There are six, sevens.

But we already used one.

So we will add only the other five.

7 + 7 + 7 + 7 + 7 = 35.

7 * 5 = 35

~

And that's it.

You got your answer, 35.

A price of a toy usually costing £50 is increased to £65
work out the percentage increase

Answers

Answer:

15/50×100=30%

Step-by-step explanation:

( FOOLISH ANSWERS WILL BE REPORTED) help i will give brainliest 6th grade mαth

Answers

Answer:

33.8

Step-by-step explanation:

33.8 is the closest to half of 65.

9514 1404 393

Answer:

  125

Step-by-step explanation:

The proportion you want is ...

  [tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]

52% of 125 is 65.

__

Comment on the formulation

You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...

  whole/part = 100/52 = ?/65

Then the solution is one step: multiply by 65.

Write and solve an equation for each problem situation. Define the variable

A) Scott spent half of his weekly allowance on music.
To help him earn more money, his parents let him wash the car for $6.53. What is his weekly allowance if he ended with $12.03

Answers

Answer:

His weekly allowance is $5.50.

Step-by-step explanation:

12.03 - 6.53 = $5.50

I'm not 100% sure this is accurate. Good Luck!

A chess club with 25 members is electing a new president. Abdul received 23 votes. What percentage of the club members voted for Abdul?

Answers

Answer

92%

Explanation

23 out of 25 people voted Abdul.

So that means [tex]\frac{23}{25}[/tex] people voted Abdul.

When you divide 23 by 25 you get 0.92 which is 92% (multiply by 100).

You divide because a fraction means the numerator divided by the denominator.

ASAP someone please help me step by step so I can understand it better please

Answers

Answer:

Y=6

Step-by-step explanation:

i’m only commenting so you can mark that person brainlyest

2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)

Answers

the correct answer:

y=-2x-10

explanation:

help me with this now please

Answers

Step-by-step explanation:

davis is right.

be SPEEDY! Name two
perpendicular lines and two parallel lines.

Answers

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle. Hope this helps :))

Find the distance between the two points in simplest radical form.
(-3,-2) and (-8,4)
Answer:
Submit Answer
✓
attempt 1 out of 2

Answers

Answer:

y=−2/5x+4/5y

Step-by-step explanation:

Hope's this helps

Mrs. Nelson deposits $2,500 in an account that earns 5% simple interest. How much is Mrs. Nelson's investment worth after 20 years ?
A:2500
B:5000
C:4500

Answers

The answer is B because 5% of 2500 is 125 so each year 125$ gets added to her account so you multiply 125 by 20 and you get 2500. Finally you add 2500 + 2500 which gives you 5000

Brent and Lance leave a park on bicycles traveling at constant rates in opposite directions. After 2.5 hours, they are 85 miles apart. If Lance bikes 2 mph faster then Brent, how fast is Lance biking?

Answers

Answer:

18 mph so B is correct 16+2= 18

Answer:

B

Step-by-step explanation:

cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.

A. 2,857.60

B. 38,577.60

C. 1,428.80

D. 5,715.20

Answers

Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

if I have 130 of something and I need 200 how many more do I need

Answers

Answer:

70

Step-by-step explanation:

200 - 130

HELP! WILL MARK BRAINLIEST

Answers

Answer:

it is b

Step-by-step explanation:

what is 5/8 divided by 4

Answers

Answer:

0.156

Step-by-step explanation:

Answer:

5/32

Step-by-step explanation:

[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]

PLEASE HELP ME OUT WITH THIS I NEED HELP BAD!!!!!!

Answers

Answer:

First box is the one all the way on the right

Second box Is the second one from the left

Third box Is the first one on the left

Last box is the 3rd one from the left

Step-by-step explanation:

Help will give crown

Answers

Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

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