Solve for y: 2½y = ⅝ Answer in simplest form.

Answers

Answer 1
1/4 or 0.25

Step-by-step explanation:

[tex]2 \frac{1}{2} y = \frac{5}{8} [/tex]

Convert Mixed number to improper fraction.

[tex]2 \frac{1}{2} = \frac{5}{2} [/tex]

Equate

[tex] \frac{5}{2} y = \frac{5}{8} [/tex]

Cross Multiply

[tex]5y \times 8 = 2 \times 5 \\ 40y = 10[/tex]

Divide both sides of the equation by 40

[tex] \frac{40y}{40} = \frac{10}{40} [/tex]

Simplify

[tex]y = \frac{1}{4} [/tex]


Related Questions

how do you do long division without counting every number?

Answers

You use your times tables to help you with it

What number is
furtherest from zero?
2/5, 5/7, 7/8, 9/12, 1/2

Answers

Answer:

7/8 is the largest fraction, therefore it is the furthest from zero.

Step-by-step explanation:

A cereal box has a length of 8 inches, a width of1 - inches, and a height of 12 - inches. What is thevolume of the cereal box?

Answers

Answer:

96

Step-by-step explanation:

LxWxH=V or BxH=V

L=8

W=1

H=12

8x1x12=96

Answer: 96in²

Step-by-step explanation: To find the volume, you multiply the Length, Width, and Height.

The formula is whl, which means W × H × L.

So, we'll multiply 8 by 1 by 12.

Step 1.

Multiply 8 by 1.

8 × 1 = 8

Step 2.

Multiply 8 by 12.

8 × 12 = 96

Hence, 96in² is the answer.

Three consecutive integers are listed in increasing order. If their sum is 102, what is the second integer in the list?

Answers

Answer:

Second integer = 34

Step-by-step explanation:

Given:

Sum of 3 consecutive integers = 102

Find:

Second integer

Computation:

Assume;

First integer = x

So,

Second integer = (x+1)

Third integer = (x+2)

So,

x + x + 1 + x + 2 = 102

3x + 3 = 102

x = 33

Second integer = (x+1)

Second integer = (33+1)

Second integer = 34

If I have $20 to buy snacks for myself and 4 friends if I buy a bag of chips for each person and end up with $13.75 left how much did I spend on each chip bag?

Answers

Answer:

20 - 5x = 13.75

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

$1.65 I believe?? $20-$13.75 would be $6.25 divided by 4

PLEASE HELP!!!!!
The question is in the image below!!

Answers

The domain is the x values given by the graphed line.

The line starts at -2 and ends at 2.

The domain is all the x values between and including -2 and 2.

Solve 3p – 5 = 19 What is the constant on the
variable side? What is its
inverse? Do to both sides.
What is the coefficient?

Answers

Answer: p= 8

Step-by-step explanation:

3p-5=19

Add 5 to both sides

3p=24

Divide 3 to both sides

p=8

Judeth measured the sides of her garden and listed the measurements below. She said that her garden is a right triangle. Is she right? Why or why not?

Answers

Answer:

False

Step-by-step explanation:

:) the sum of the legs squared is less than the hypotenuse squared.

the area of a right triangle is 336 square centimeters. The base of the right triangle is 48 centimeters. What is the length of the hypotenuse of the right triangle?

Answers

Answer:

50 cm

Step-by-step explanation:

So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 =  area. Plugging in the numbers you have, you get:

[tex]height*48/2=336[/tex]

Then, this becomes

[tex]height * 24 = 336[/tex]

Divide both sides by 24

[tex]height = 14[/tex]

Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]48^{2} +14^{2} =c^{2} \\2304 + 196 = c^{2}\\2500 = c^2\\50 = c\\c = 50[/tex]

Therefore the length of the hypotenuse is 50 cm

Priti invests £6500 in a savings account for 5 years.
The account pays simple interest at a rate of 2.2% per year.
Work out the total amount of interest Priti gets by the end of the 5 years.

Answers

Answer:

£143

Step-by-step explanation:

6500 ÷ 5 = 1300

1300 × 2.2 ÷ 100 = 28.6

28.6 x 5 = 143

What expression is equivalent to this expression–3 (4x – 2) – 2x?

Answers

Answer:

Step-by-step explanation:

we remove the parenthesis and we need to be be careful at the signs

-12x+6-2x=-14x+6

You have $77.25. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $69.49 and have $82.76 left. How much money do you earn mowing lawns?

Answers

She had got 100$ because if she adds both of the shoes cost and the change it’s $177.25 then u subtract 77.25$from $177.25 that’s how u get ur answer

Can y’all
Help… Me plz

Answers

Answer:

64/27 and -9/4?

Step-by-step explanation:

check it. it could be that you need to write it as a mixed number

Which one of the following is NOT a unit of measurement?
A. Mole
B. Gram
C. Red
D. mL​

Answers

Answer:

C Red

Step-by-step explanation:

because the mole, ml,and gram are measurment but not red. its only the color

Albert took a history test. He got 43 problems right out of the 50 problems on the test. What percentage did Albert get right?

Answers

Answer:

86% can I get brainliest?

Step-by-step explanation:

i'm simple form, just divide 43 by 50 which gets you .86 which is 86%.

Q.4. The HCF and LCM of two numbers are 12 and 24 respectively. Find the product of the two numbers.

Answers

Answer:

288

Step-by-step explanation:

Since, the product of the HCF and LCM of two numbers is equal to the product of the two numbers.

Therefore,

The product of the two numbers

[tex] = HCF \times LCM \\ \\ = 12 \times 24 \\ \\ = 288[/tex]

The line of reflection can be found by constructing and measuring to find two of what point ?

Answers


Students construct the line of reflection of a figure and its reflected image. ... and angle measures and (2) that a reflection can be performed across any line in the ... If the line is specified using two points, as in

Prime factorization of
60
100
85
Explain in steps

Answers

Answer:

60=2×2×3×5100=2×2×5×585=5×17

the expression 5x+7x can be simplified into which of the following ?
1. 12x
2. 35x
3.12x²
4.35x³​

Answers

Answer:

12x

Step-by-step explanation:

You can add the like terms (which have x)

5x+7x=12x

I don’t get this plsss someone help

Answers

Answer:

Step-by-step explanation:

used quizlet

A box is a cuboid with dimensions 29cm by 15cm by 20cm all measured to the nearest centimetre.? disc cases are cuboids measured 1.4cm by 14.2 by 19.3 to t he nearest millimetre. show that 19 disc cases stacked straight down will definitely fit in the box

Answers

29 x 15 x 20 = 8,700 (volume of box)

1.4 x 14.2 x 19.3 = 383.68 (volume of case)

so we can find this by two ways of solving
- 8700/383.68 = 22.6 —> 22
- 383.68 x 19 = 7,289.92 < 8,700

Answer:

See explanation.

Step-by-step explanation:

The question requires you to determine the volume of both the box and the disc case then find how many of the disc cases can fit in to the box.

The volume of the box

V= l*w*h

V= 29 * 15 * 20 = 8700 cm³

The volume of the disc case

V=l*w*h

V=1.4 * 14.2*19.3

V=383.684 cm³

The number of disc cases that fit in the box will be;

8700/383.684

22.67

In this calculation, it is clear that 19 of these disc cases will definitely in the box because the box can accommodate 22 of these disc cases.

HELP PLEASE PLEASE PLEASE

Answers

Answer:

The Answer is $0.17

Step-by-step explanation:

1) Divide the amount of money always first

so divide 4.99 to 30

2)you would get 0.166333333333

3) Now Round $0.17

4) That means its B.) $0.17 ounces  

Awnser:

c.) $6.01

Step-by-step explanation:

30 divided by 4.99 is 6.0120240481 but we need to round because money does not go that far. So we end up with 6.01

7/12 times 7/3
As a fraction

Answers

Answer:

49/36

Step-by-step explanation:

Hannaford sells two sizes of cheerios cereal. The smaller box contains 9 ounces and
costs $2.50. The larger box contains 20 ounces and and costs 3.79. What is the
difference in cost in dollars per ounce between the two sizes?

Answers

Quantity of cheerios cereal in the smaller box Hannaford sold = 9 ounces

Cost of nine ounces of cheerios cereal = $2.50

Cost of one ounce of cheerios cereal :

[tex] = 2.50 \: \div \: 9[/tex]

[tex] =\color{plum}\$ 0.27[/tex]

Cost of one ounce of cheerios cereal in the smaller box = $0.27

Quantity of cheerios cereal in the larger box Hannaford sold = 20 ounces

Cost of nine ounces of cheerios cereal = $3.79

Cost of one ounce of cheerios cereal :

[tex] = 3.79 \div 20[/tex]

[tex] =\color{plum} \$0.18[/tex]

Cost of one ounce of cheerios cereal in the larger box = $0.18

Difference in their cost per ounce :

[tex] = 0.27 - 0.18[/tex]

[tex] =\color{plum}\bold{\$ 0.09}[/tex]

Therefore, the difference in cost in dollars per ounce between the two sizes = $0.09

Plz help me I dont understand

Answers

Answer:  the answer is -7/5

Answer:

The answer is C

Step-by-step explanation:

Elise and her dad are planning to attend the state fair. An adult ticket is $21.00. The price of an adult ticket is $10.00 more than two thirds the price of a student ticket.

Answers

Answer:

C)two thirds x + 10 = 21

Step-by-step explanation:

The equation for determining how much it would be paid for the student tickets is shown below:

Given that

The ticket of an adult is $21

Now let us assume the price of the student ticket be x

So two third would be 2 ÷ 3x

And for adult it would be

2 ÷ 3x + 10

Now the equation is

2 ÷ 3x + 10 = 21

So after solving this the option c is correct

And the rest of the options are wrong

write an equation from the table.

Answers

Answer:

Step-by-step explanation:

.

Answer:

y=-2x+7

Step-by-step explanation:

slope intercept form: y=mx+b

Slope formula: [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex]

You can pick any two equations. In this example, I chose the firsts 2.

(0,-7) and (1,-9)

Plug into the slope formula,

-9+7 over 1-0 which is -2/1 or -2

The m in y=mx+b is the slope, the equation above is the sloe formula meaning -2 is the slope. The b is the y, when it is at 0. The y at 0 for this equation is -7. Thus, when plugging in the equation, y=-2x-7

Tony uses 4 cups of shredded cheese on 3 pizzas. How many cups of cheese are on each pizza? Answer in fraction form.

Answers

Answer:

1 1/3

Step-by-step explanation:

Answer:

4/3 (improper form) 1 1/3 (mixed form)

Step-by-step explanation:

Put the amount over whatever it's being divided amongst. In this case, you're dividing 4 cups by 3 pizzas. Fractions are actually just the top being divided by the bottom, so just think of it that way.

can someone explain how to do this please

Answers

Answer:

yes

Step-by-step explanation:

65 divided by 6.25 =10.4

67 - 10.4 =56.6

brailiest please

Find the distance between the points (3, 7) and (3, -5).

Answers

The distance would be 13

Answer:

The total distance is 12

Step-by-step explanation:

Since the x value stays the same, we only need to find the difference in y values

The first value, 7, is 7 away from 0

The second value, -5, is 5 away from 0

We can add these together to find the total distance

7 + 5 = 12

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