56 is 70% of what number

Answers

Answer 1

Answer: 56/.7= 80. So your answer is 80

Answer 2

Answer: 80%, you make the 70% into a fraction by moving the decimal two places to the left, so you have .70, then you divide 56 by .70.

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What fraction of 1 gallon is 5 cups

Answers

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1. Polynomials Add or subtract

(4x2 + 15x – 3) – (–3x2 + 5) (1 point)

A.7x2 + 15x – 8

B.x2 + 12x + 2

C.x2 + 15x – 8

D.7x2 + 8 2.

2. Simplify the polynomial.

–3f2 + 4f – 3 + 8f2 + 7f + 1 (1 point)

A.5f2 – 11f + 2

B.11f2 + 11f + 2

C.5f2 + 11f – 2

D.–5f2 + 11f – 2

3. Add or subtract

(2x2 + 6x + 1) + (–7x2 + 2x – 3) (1 point)

A.5x2 – 4x – 2

B.–5x2 + 8x – 2

C.5x2 – 8x + 2

D.–9x2 – 8x + 2

4. Name the coefficients in the polynomial.

4x2 + 3x – 3 (1 point)

A.4, –3, –3

B.4, 3

C.4, 3, 3

D.–4, –3

5. How many terms are in the following polynomial?

6x4 + 3x3 – 2x2 + 15x – 14 (1 point) A. 5

B.4

C.3

D.2

6. In the expression –7x – 5x2 + 5, what is the coefficient of x? (1 point)

A.7

B.5

C.–5

D. -7

7. Write the expression using scientific notation.

(2.5 • 104)(4 • 103) (1 point)

A.10 • 107

B.10 • 108

C.1 • 108

D.10 • 1012

8. Write the expression using a single exponent.

22 • 28 (1 point)

A.410

B.210

C.416

D.216

Answers

Answer:

(1) A

(2) C

(3) B

(4) The coefficients are 4,3,-3.

(5) A

(6) D

(7) C

(8) B

Step-by-step explanation:

(1)

The given expression is

$(4x^2 + 15x - 3) - (-3x^2 + 5)$

Using distributive property.

$(4x^2 + 15x - 3) - (-3x^2) -( 5)$

$4x^2 + 15x - 3 + 3x^2 - 5$

On combining like terms.

$(4x^2+3x^2) + 15x +(- 3 - 5)$

$7x^2 + 15x-8$

Therefore, the correct option is A.

(2)

The given expression is

$-3f^2 + 4f - 3 + 8f^2 + 7f + 1$

On combining like terms.

$(-3f^2+ 8f^2) +( 4f + 7f )+(- 3 + 1)$

$5f^2 +11f -2$

Therefore, the correct option is C.

(3)

The given expression is

$(2x^2 + 6x + 1) + (-7x^2 + 2x - 3)$

Combined like terms.

$(2x^2-7x^2) + (6x+ 2x) + (1 - 3)$

$-5x^2 + 8x -2$

Therefore, the correct option is B.

(4)

The given expression is

$4x^2 + 3x - 3$

A number before variable terms are called coefficient of that term.

Therefore, the coefficients are 4,3,-3.

(5)

The given expression is

$6x^4 + 3x^3 - 2x^2 + 15x - 14$

It this polynomial, the number of terms is 5.

Therefore the correct option is A.

(6)

The given expression is

$-7x - 5x^2 + 5$

The coefficient to x is -7.

Therefore, the correct option is D.

(7)

The given expression is

$(2.5\cdot 10^4)(4\cdot 10^3)$

$(2.5\cdot 4)\cdot (10^4\cdot 10^3)$

Using product property of exponent.

$(10)\cdot 10^(4+3)$

$1\cdot 10^(1+4+3)$

$1\cdot 10^(8)$

Therefore, the correct option is C.

(8)

The given expression is

$2^2\cdot 2^8$

Using product property of exponent.

$2^(2+8)$

$2^(10)$

Therefore, the correct option is B.

$1.\n(4x^2+15x-3)-(-3x^2+5)\n=4x^2+15x-3+3x^2-5\n=7x^2+15x-8\leftarrow A.$

$2.\n-3f^2+4f-3+8f^2+7f+1\n=5f^2+11f-2\leftarrow C.$

$3.\n(2x^2+6x+1)+(-7x^2+2x-3)\n=2x^2+6x+1-7x^2+2x-3\n=-5x^2+8x-2\leftarrow B.$

$4.\n4x^2+3x-3\n\{4;\ 3;-3\}$

$5.\n6x^4+3x^3-2x^2+15x-14\n\{6;\ 3;-2;\ 15;-14\}\to5\leftarrow A.$

$6.\n-7x-5x^2+5\n\{-7\}\leftarrow D.$

$7.\n(2.5\cdot10^4)(4\cdot10^3)=2.5\cdot4\cdot10^(4+3)=10\cdot10^7\n=10^(1+7)=10^8=1\cdot10^8\leftarrow C.$

$8.\n2^2\cdot2^8=2^(2+8)=2^(10)\leftarrow B.$

linda wants to but a cell phone. she has looked at two phones. phone a normally cost $175, but she can a 5% discount. phone b normally cost $200, but she can get a 20% discount. Part a how much is the discount for each phone part b what is the price of each phone after the discount part c which discounted phone cost less? linda will have to pay 6% sales tax on whichever phone she buys. does this change which phone cost less?

Answers

Part A:
Phone A has a $8.75 discount
$175*0.05=$8.75

Phone B has a $40.00 discount
$200*0.20=$40

Part B:

Phone A is $166.25
$175-$8.75=$166.25

Phone B is $160.00
$200-$40=$160

Part C:
Phone B costs less after the discount

Part D:
No, sales tax is applied to the discounted/final price, so both prices will increase by 6%. Phone B will still be cheaper.

Find the area of a triangle whose sides are 10 cm, 8 cm and 6 cm respectively.