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2 years ago

Which of the following pairs consist of equivalent fractions?

Mathematics

1 answer:

cestrela7 [59]2 years ago

3 0

Answer:

Step-by-step explanation:

a is incorrect because

20/32=10/16=5/8

b is incorrect because

10/7=1.42 and 7/10=0.7 which don't equal each other

c is incorrect because

4/6 equals 2/3 not 3/5

d is correct because,

18/48=15/40

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Mr. Poyser uses 4 2/3 cups of flour to make 7 dozen oatmeal-raisin cookies.

Jobisdone [24]

Answer:X unknown cu. of flour/ 5 dozen cookies

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1 year ago

Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The ac

Serga [27]

Answer:

Step-by-step explanation:

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2 years ago

Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

2 years ago

What is the image of (6,−3) after a dilation by a scale factor of 1/3 centered at the origin?

attashe74 [19]

Answer:

(2,-1)

Step-by-step explanation:

Multiply everything by 1/3:

6*1/3=2

-3*1/3=-1

This makes it smaller, so you know what the dilation is.

6 0

2 years ago

Determine the larger of two consecutive integers whose sum add to 85

Vesnalui [34]

N+(n+1) = 85. 2n+1=85, 2n=84. n=42. So the consecutive integers are 42 and 43, and the larger one is 43.

8 0

3 years ago