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

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.

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.

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 :))

) 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

( 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.

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.

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:

Help will give crown

Answers

Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

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

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

Answers

the correct answer:

y=-2x-10

explanation:

I NEEP HELP ASAP PLEASE AND THANK YOU

Answers

Answer:

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

HELP! WILL MARK BRAINLIEST

Answers

Answer:

it is b

Step-by-step explanation:

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

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 .

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:

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

Answers

Answer:

Not enough data

Step-by-step explanation:

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

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

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.

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 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:

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:

can i plz get some help

Answers

Answer:

36

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

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

Answers

Answer:

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

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

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:

help me with this now please

Answers

Step-by-step explanation:

davis is right.

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.

Other Questions
Using known properties, determine if the statements are true or not. Select True or False for each statement. If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle. The diagonals of a parallelogram bisect each other. If a quadrilateral has four right angles, then it is a square. Whats The Answer Giving Brainliest To first Correct AnSwEr:D... 6. Find how long it takes $600 to double if it is invested at 12%interest compounded monthly.With work What is the Main idea of "Lets pretend this never happened" By Jim Benton? OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does oneof the nu m b e rs have to be 48? Explainwhy or why not. Give an example with sixnu m b e rs to show your answe Ok I think this is the last one for tonight mabey Plzzzz help ( I give brainlyest)What is the resolution in "The Road Not Taken"? Your answer should be 2 to 3 sentences. Read Marias brainstorming table.Beginning: My cat escaped the house when a window was left open. Middle: I searched everywhere for my cat and posted signs around my neighborhood. End: After a few days, I found my cat waiting for me on the porch after school.Which sentence would best introduce this series of events in a descriptive narrative?My dad drove me to the office supply store so I could make copies of the Lost Cat poster with my cats photograph on it.There was my cat, sitting by the door licking her paws.One hot summer day, my cat pushed the screen out from an open window and snuck out into the big outside world. My cat got lost one day by jumping out of an open window. Which statement best completes the diagramA BCDLook at attached picture What is the equation of this line in slope-intercept form? A. y=-4x+1 B. y=-1/4x+1 C. y=4x-1 D. y=4x+1. A mixture is prepared using 27.00 mL of a 0.0758 M weak base (pKa=4.594) , 27.00 mL of a 0.0553 M weak acid (pKa=3.235) and 1.00 mL of 1.25104 M HIn and then diluting to 100.0 mL, where HIn is the protonated indicator. The absorbance measured at 550 nm in a 5.000 cm cell was 0.1102 . The molar absorptivity (????) values for HIn and its deprotonated form In at 550 nm are 2.26104 M1cm1 and 1.53104 M1cm1 , respectively. What is the pH of the solution? Describe the terms of the Treaty of Ghent. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ PLS HELP MEEE ITS DUE IN A FEW MINUTES AHH HELP-solve for y. -2x + y = 5 what does y equal and how did you solve it? The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. Onwhich day would you expect that number to be reached?A)8B)9o10D11 Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined? I need this ASAP!!! Please Which of the following mountains is the highest in the world?A.Mount KilimanjaroB.Mount McKinleyC.Mount EverestD.Mount RainierPlease select the best answer from the choices providedABCD Write the value of each expression1. -8(3)2.5(-2)3.2(-1)(14) can someone please help me write an essay about Bushido (30 points)