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3 years ago

Simplify the expression 7(a-3+4b)

Mathematics

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

7a - 21 + 28b

Step-by-step explanation:

using the distributive property we can multiply 7 to the numbers in the paretheses. doing this we get:

7a - 21 + 28b

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Ari buying 10 1/2 feet of rope that costs $5.25 per foot.How much will Ari spend?

lapo4ka [179]

Answer:

55.13

Step-by-step explanation:

10×5.25 = 52.50

52.50+2.63= 55.13

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3 years ago

Does anyone know 20=b/3 is in a one step equation

inna [77]

Answer:

b=60

Step-by-step explanation:

All you have to do in this equation is multiply both sides by 20 as we want to have the variable b on one side by itself. Doing this we get 60=b.

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3 years ago

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A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 14 square centimet

stiv31 [10]

Answer:

I am not sure the answer but I can say this from my experiences, to know the shapes and sizes, you may measure like I usually do.

Step-by-step explanation:

I am not sure

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3 years ago

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Round to the nearest tenth if necessary.

Andrei [34K]

Answer:

B) 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, -8)

Point (-4, -4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-4--1)^2+(-4--8)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-3)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{9+16}$
[√Radical] Add: $\displaystyle d = \sqrt{25}$
[√Radical] Evaluate: $\displaystyle d = 5$

4 0

3 years ago

(a) What was Jennifer’s gross pay for the year?

alukav5142 [94]

Answer:

Part a: From column 1 of the attached Wage and Tax statement, the gross pay is $34854.

Part b: From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.

Part c: It should be $2160.95 instead of $2164.44

Part d: It should be $505.38 instead of $467.68

Part e: FICA Tax is $2665.38

Part f: She owes the difference $16.52 to the Federal Tax.

Step-by-step explanation:

As data was missing from the question, the complete question is found online and is attached herewith.

Part a:

From column 1 of the attached Wage and Tax statement, the gross pay is $34854.

Part b:

From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.

Part c:

For 2012, Social Security Tax is given as 6.2% of the gross pay so

Item 4 should then be

6.2% x Gross Income

6.2% x 34854

.062 * 34854 = 2160.95

It should be $2160.95 instead of $2164.44

Part d

For 2012, Medicare Tax is given as 1.45% of the gross pay so

Item 6 should then be

1.45% x Gross Income

1.45% x 34854

.0145 * 34854 = 505.38

It should be $505.38 instead of $467.68

Part e

FICA tax is given as sum of Social security tax and Medicare taxes. This is given as

FICA Tax=Social Security Tax+Medicare Tax

FICA Tax=$2160+$505.38

FICA Tax=$2665.38

FICA Tax is $2665.38

Part f

From the attached table, with $32104 as the taxable income, as the head of household she owes $4199 in Federal tax.

From the attached wages and tax statement in column 2, she paid $4182.48. Thus she owes the difference $16.52 to the Federal Tax.

5 0

3 years ago