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jolli1 [7]
3 years ago
14

jack purchases 12 gallons of gas on monday .he uses 2/3 of amount purchased communting to and from work during the week addition

al 2 gallons running errands. how many gallons of gas does john juse for work and errands
Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
Gallon he uses to and from work = (2 / 3) of 12

12 * (2 / 3)
= 8 ----- he uses 8 gallons to and from work

 + 2 additinal for errands

therefore gallons for work + gallons for errand = *8 + 2
= 10

your answer is 10
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The formula s= √SA/6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube w
amm1812
Surface area of cube = 6 * (side)^2
side^2 = surface area / 6
side = sqrt (surface area / 6)

For the cube with area 1200 square inches:
side = sqrt(surface area / 6)
side = sqrt(1200 / 6) 
side = 14.1421 inches

For the cube with area 768 square inches:
side = sqrt(surface area / 6) 
side = sqrt(768 / 6) 
side = 11.3137 inches

difference between the two lengths = 14.1421 - 11.3137 = 2.8284 inches

Based on the above calculations, the side of the cube with surface area 1200 square inches is  2.8284  inches longer than the side of the cube with surface area 768 square inches
7 0
3 years ago
Read 2 more answers
What is the factored form of 30x2 - 25x -30?
Setler79 [48]

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

30x2 - 25x -30  Factoring

Step 2

30x2 - 25x -30  factor out the equation

5(3x+2)(2x-3)

Step 3

5(3x+2)(2x-3)  Check by simplifying

When you check, you will get the question back

Answer

5(3x+2)(2x-3)

Hope this helps

6 0
3 years ago
For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.
andriy [413]

Answer:

If k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

The signal of \bigtriangleup determines how many real roots an equation has:

\bigtriangleup > 0: Two real and different solutions

\bigtriangleup = 0: One real solution

\bigtriangleup < 0: No real solutions

In this problem, we have the following second order polynomial:

(k+1)x^{2} + 4kx + 2 = 0.

This means that a = k+1; b = 4k; c = 2

It has one solution if

\bigtriangleup = 0

b^{2} - 4ac = 0

16k^{2} -8(k+1) = 0

16k^{2} - 8k - 8 = 0

We can simplify by 8

2k^{2} - k - 1 = 0

The solution is:

k = 1 or k = -\frac{1}{2}

So, if k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

4 0
3 years ago
What is the first step you would take to solve the equation 1 1/2 + 2 1/3 = ?
sineoko [7]

The first step to solve the equation 1 1/2 + 2 1/3 = ? is (a) First, you should convert the mixed numbers to improper fractions.

<h3>How to determine the first step?</h3>

The equation is given as:

1 1/2 + 2 1/3 = ?

The terms in the equation are mixed numbers.

So, the first stem is to convert the mixed numbers to improper fractions

Hence, the true statement is (a) First, you should convert the mixed numbers to improper fractions.

Read more about fractions at:

brainly.com/question/1622425

7 0
2 years ago
2 less than three times a number is the same as the number plus 10
GenaCL600 [577]
3x - 2 = x + 10
So, 2x = 12 and x = 6 
4 0
3 years ago
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