Simplify the following expressions

a. 2/5- 1/6 b. 3/7-7/14 c. 5/8- 2/3

Answers

Answer 1
1.) 2/5-1/6
Multiply the denominator until both denominators are the same
12/30 - 5/30
Subtract the numerator but NOT the denominator
Final Answer: 7/30

2.) 3/7-7/14
Multiply the denominator until both denominators are the same common denominator
6/14 - 7/14
Subtract the numerator but NOT the denominator
Final Answer: -1/14

3.) 5/8-2/3
Multiply the denominator until both denominators are the same
15/24 - 16/24
Subtract the numerator but NOT the denominator
Final Answer: -1/24

Related Questions

Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!

Answers

Answer:

1.15

Step-by-step explanation:

Jim wants to make 2.7 quarts of a 60% alcohol solution by mixing together a 80% alcohol solution and a 20% alcohol solution. How much of each solution must Jim use?

Answers

Answer:

1.8 quartz of 80% solution and

0.9 quarts of 20% solution.

Step-by-step explanation:

Given that:

Total alcohol solution to be made = 2.7 quarts of 60% solution

Alcohol concentration in first solution= 80%

Alcohol concentration in second solution = 20%

To find:

How much of each solution must Jim use?

Solution:

Let amount of first solution to be used = [tex]x[/tex] quartz

Total amount is given as = 2.7 quarts

So, amount of second solution to be used = (2.7 - [tex]x[/tex]) quartz

As per question statement, we can write the following equation:

[tex]80\%\ of\ x +20\%\ of\ (2.7-x) = 60\%\ of\ 2.7\\\Rightarrow \dfrac{80}{100} x +\dfrac{20}{100} (2.7-x) = \dfrac{60}{100}\times 2.7\\\Rightarrow 4x+2.7-x =3\times 2.7\\\Rightarrow 3x=2\times 2.7\\\Rightarrow \bold{x =1.8\ quartz}[/tex]

First solution, 80% solution to be used = 1.8 quartz

Second solution, 20% solution to be used = 2.7 - 1.8 = 0.9 quartz

what was the scale factor? Show how you found your answer.
A(0,0) A’ (1.4)
B (4,0) B’ (9.4)
C (0.3) C’ (1.10)
PLEASE HELP

Answers

Answer:

2

Step-by-step explanation:

The scale factor is two since it's 2 times bigger than the actual figure.

Proof:

A to B = 4 units

A' to B' = 8 units

A to C = 3 units

A' to C' = 6 units

See how it keeps multiplying by 2.

4 x 2 = 8

3 x 2 = 6.

Ace Carlos

The sum of two consecutive odd integers is 150. what are the two integers ?

Answers

Answer:

75..............................

round 0.0063 to 2 decimal places

Answers

Answer: 0.63
Step-by-step Explanation:
Estimation is usually a rounded-off figure where you can find a overall or a round figure of numbers such as decimals.

Through (6,-2), slope = 1/3
Write the equation in slope-intercept form.

Answers

Answer:

y=1/3x+4

Step-by-step explanation:

Slope = 1/3

y=1/3x-b

Through (6,-2)

-2=1/3(6)-b

-2=2-b

-4=-b

b=4

y=1/3x+4

Hope this helps!

Simplify: (6-91)-(2-31)​

Answers

Answer:

-56

Step-by-step explanation:

6-91=

-85

2-31=

-29

-85--29=

-56

Answer:

-56

Step-by-step explanation:

Any help please and thank you

Answers

Answer:

n=6

j=15

u=7.6

Step-by-step explanation:

Given TACBRD=MYPXEF

we find that the ratio is 1 : 2.5 and we solve from here

A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional
$110 per hour for each hour worked over 35 hours per week. A cashier worked 39
hours one week and 37 hours the second -week. Show and explain to the cashier how her salary
would be calculated in this two-week period?

Answers

Answer:

total hr worked = 39 + 37 = 76 hr

salary per hr = 110 $

so total salary = 110 * 76 = 8360$

42% as a decimal to Nearest hundredth

Answers

0.42 is the correct answer
To turn 42% into a decimal you move the point behind 2 two places to the left, so the correct answer is 0.42

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

9 / 54 = x / 18

x = 3

HURRY I NEED HELP ASAP

Answers

Answer:

I believe the answer is 13 times I'm not positive but 12 tsp is 2 oz so I think 13 would make up for the other part

Step-by-step explanation:

If I'm wrong I'm sorry

please help!!! I'm really confused​

Answers

Answer:

1. a

2.c

3.d

4.c

5.b

6.d

Step-by-step explanation:

Hi! I need help on #25 ASAP. Thank you so much!!!

Answers

Answer: Hello! I believe the answer is 25/4. I'm so sorry if this is incorrect!

Given parallelogram SNOW, diagonals SO and NW intersect at D.
If SD = 9x+5 and OD = 13X - 3, find the length of SO

Answers

Answer:

The length of SO is 46 units

Step-by-step explanation:

In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point

SNOW is a parallelogram

∵ SO and NW are diagonals

∵ SO ∩ NW at point D

→ That means D is the mid-point of SO and NW

D is the mid-point of SO and NW

∵ D is the mid-point of SO

→ That means D divide SO into two equal parts SD and DO

SD = DO

∵ SD = 9x + 5

∵ DO = 13x - 3

→ Equate them

13x - 3 = 9x + 5

→ Subtract 9x from both sides

∵ 13x - 9x - 3 = 9x - 9x + 5

∴ 4x - 3 = 5

→ Add 3 to both sides

∵ 4x - 3 + 3 = 5 + 3

∴ 4x = 8

→ Divide both sides by 4

x = 2

→ To find the length of SO substitute the value os x in SD and DO

SO = SD + DO

∵ SD = 9(2) + 5 = 18 + 5 = 23

∵ DO = 13(2) - 3 = 26 - 3 = 23

∴ SO = 23 + 23 = 46

The length of SO is 46 units

52 points for answering this

Answers

Answer:

6314

Step-by-step explanation:

Answer: down and left and right and up

Step-by-step explanation:

Some people advised that in very cold​ weather, you should keep the gas tank in your car more than half full. ​irene's car has 6.7 gallons in the ​15 -gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.50 per gallon. How much did irene spend on​ gas?

Answers

Answer:

irene spent $23.45

Step-by-step explanation:

Cost of gas = $3.50 per gallon = 350 cents

Quantity of  gas = 6.7 gallons

Amount spent = Cost * Quantity

Amount = 350 * 6.7

Amount = 2345 cents

Amount = $23.45

Guys plz help plz on both plzzzzz

Answers

.12 and .1!!!!!!!!!!

Answer:

The first one is 9/50 and the second one is 1/2

Step-by-step explanation:

you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)

Hi I really need help you’ll get 100 if you answer and I’ll give u brainliest!

question is pictured

Answers

Answer:

solution given:

A=l w

now

dividing both side by w ,we get

[tex] \frac{A}{w} [/tex]=[tex] \frac{lw}{w} [/tex]

l =[tex] \frac{A}{w} [/tex]

is your answer

Joylin's work to solve a math problem is shown below. Problem: Manny walked StartFraction 5 Over 16 EndFraction of the distance to the library in One-third of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library? Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h What was Joylin's first error?

Answers

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

Step-by-step explanation:

She switched the divisor and the dividend when creating an equation to model the problem in step 1.

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

She multiplied the two numerators and the two denominators to generate her product in step 3.

She reduced the improper fraction incorrectly when getting her final answer.

5/16 = 1/3h

Correct steps

Step 1:

h = 5/16 ÷ 1/3

Step 2:

h = 5/16 × 3/1

Step 3:

h = (5*3) / (16*1)

= 15/16

h = 15/16

Incorrect steps:

Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h

5/16 ÷ 1/3 = h

Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h

16/5 × 3/1 = h

Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h

48/5 = h

9 3/5 = h

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2  

Step-by-step explanation:

please give me brain list, please

Find the mode of the following data. 56,34,45,65,67,56,45,36,92,73,92,45,56

Answers

Answer:  Mode = {45, 56}

====================================================

Explanation:

Original list = {56,34,45,65,67,56,45,36,92,73,92,45,56}

Sorted list = {34,36,45,45,45,56,56,56,65,67,73,92,92}

We see that 45 and 56 both occur three times each, and this is the most occurring or most frequent. So the mode is the set {45, 56}. It is possible to have more than one mode. It is also possible to not have a mode at all if each value in a list only occurs one time.

Answer:

its between 56 and 45 and i havent rlly done this since 5th or 6th grade so

Step-by-step explanation:

PLEASE HELP WITH THIS WILL GIVE BRAINLIEST

Answers

11am - 2pm hope this helps(:

Answer:

11 am to 2 pm

Step-by-step explanation:

Solve the equation, showing each step of the solution.
-3x + 25 = 40

Answers

Answer:

x= -5

Step-by-step explanation:

-3x + 25 = 40

you want to put x terms on one side, numbers on another side

subtract 25 on both sides

-3x = 15

divide both sides by -3

x= -5

please hit the heart button :)

Answer:

well for me I think

Step-by-step explanation:

-3x=40-25

-3x=15

x=15/-3

x=-5

a store sells comic books. during the sale, the store reduces the price of each comic book by $1.25. claire spends $13.76 on 4 comic books at the sale price. what was the price of 1 comic book before the sale? ​

Answers

Answer:

4.69

Step-by-step explanation:

13.76/4 +1.25

2 6/8 in simplest form

Answers

Answer:

2 3/4

Step-by-step explanation:

A man purchased 6 fruits at Rs 10 How many fruits will he sell at Rs 9 so that he may make an overall profit of 8%

Answers

Answer:

Step-by-step explanation:

P(x)=S(x)-C(x)

0.8=9-C(x)

C(x)=9 -0.08

C(x)=8.92

A recycling center pays $0.10 per aluminum can and $0.05 per plastic bottle. The Cheerleading squad wants to raise $500. Let x represent aluminum cans and y represent plastic bottles. Use this description to answer all questions in this section.

Answers

Question:

(a) Write a linear equation that describes the problem

(b). If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?

Answer:

a. [tex]0.10x + 0.05y = 500[/tex]

b. 2000 cans

Step-by-step explanation:

We have the following:

[tex]Cost = \$0.10[/tex] per aluminum

[tex]Cost = \$0.05[/tex] per plastic bottle

[tex]Total = \$500[/tex]

Solving (a): The linear equation.

If 1 aluminum can costs $0.10,

x cans would cost $0.10x

If 1 plastic bottle costs $0.05,

y bottles would cost $0.05y

Total Cost:

[tex]Aluminum + Plastic = Total[/tex]

[tex]0.10x + 0.05y = 500[/tex]

b.

If y = 6000.

Solve for x

We have:

[tex]0.10x + 0.05y = 500[/tex]

Substitute 6000 for y

[tex]0.10x + 0.05* 6000 = 500[/tex]

[tex]0.10x + 300= 500[/tex]

Collect Like Terms

[tex]0.10x = 500 - 300[/tex]

[tex]0.10x = 200[/tex]

Solve for x

[tex]x = 200/0.10[/tex]

[tex]x = 2000[/tex]

An economist in Kenya argued that 3.5% of all SMES would file for bank loans next year. For a random sample of 100SMES estimate the probability that at least 3 will file bank loans next year

Answers

Answer: 0.6841

Step-by-step explanation:

Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035

Sample size : n = 100

Binomial probability distribution formula :

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

The probability that at least 3 will file bank loans next year :

[tex]P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841[/tex]

Hence, the required probability= 0.6841

A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?

Answers

the total price would be $17.17

What is the equation in slope-intercept form of a line that has a slope of −12 and a y-intercept of 6?

Answers

Answer:

y=-12+1

hopes this hwlps

Answer:

y=-12x+6

Step-by-step explanation:

There is enough information to write this equation in slope-intercept form.

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The given slope is -12 and the given intercept is 6.

[tex]y=mx+b\rightarrow \boxed{y=-12x+6}[/tex]

Hope this helps.

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