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3 years ago

Find two consecutive odd integers such that 53 more than the lesser is four times the greater

1 answer:

4 0

Let x and x+2 the 2 odd consecutive numbers. Now translate from English language to Math's:
x+53 = 4(x + 2), Expand :
x+53 = 4x + 8
53 - 8 = 4x - x

45 = 3x and x = 15. So the 1st is 15 and the 2nd is 17

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The value of y is directly proportional to the value of x. If y =35 when x = 140, what is the value of y when x =70?

torisob [31]

17.5 because 140 divided by 35 is 17.5 and so is 70 divided by 35.

3 0

2 years ago

Harley and Natalie are each given 2 1/3 kg of clay Harley makes as many balls of clay as he can from his clay. Each ball weighs

STALIN [3.7K]

Answer:

Her clay balls weight 0 pound because she doesn't have balls

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2 years ago

Read 2 more answers

What is the value of the expression (−2 4/5)÷(−1.4)

AysviL [449]

Answer:

Step-by-step explanation:

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3 years ago

It is possible to get 2 solutions when the system of equations is: (check all that apply)

SVETLANKA909090 [29]

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as $x^2+ y^2 = 1$ ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

$x^2 + x^2 = 1\\2x^2 = 1\\$

$x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$ so Y = $+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$

so the two solution are ( $(\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }$ )

A system of the equation of a parabola and a linear equation

Let equation of Parabola be $y^2 = x$

and linear equation y = x

substitute

$x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1$

Y = 0,1

so the two solutions will be (0,0) and (1,1)

3 0

2 years ago

An item has a listed price of $30 if the sales tax rate is 7% how much is the sales tax in dollars

Svetach [21]

Answer:

The sales tax is 2.10

Step-by-step explanation:

Take the price of the item and multiply by the sales tax rate to determine the tax

30 * 7%

30 * .07

2.10

The sales tax is 2.10

4 0

3 years ago