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Ede4ka [16]
3 years ago
5

Which of the following numbers is NOT a Solution of the inequality 6x–5>4x–7?

Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

You might be interested in
According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
olga2289 [7]

Answer:

D. It will increase by 1%.

Step-by-step explanation:

Given

u_1 = 5\% --- initial rate

u_2 = 3\% --- final rate

Required

The effect on the GDP

To calculate this, we make use of:

\frac{\triangle Y}{Y} = u_1 - 2\triangle u

This gives:

\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)

\frac{\triangle Y}{Y} = 5\% - 2(2\%)

\frac{\triangle Y}{Y} = 5\% - 4\%

\frac{\triangle Y}{Y} = 1\%

<em>This implies that the GDP will increase by 1%</em>

5 0
3 years ago
Ivan earned $343.75 for working 25 hours last week. How much does Ivan get paid per hour?
soldier1979 [14.2K]

Answer:

$13.75

Step-by-step explanation:

Ivan earns $343.75 working for 25hours

The amount that Ivan gets if he works for 1 hour can be calculated as follows

= 343.75/25

= 13.75

Hence the amount paid for one hour is $13.75

8 0
3 years ago
Write a short statement that expresses a possible relationship between the variables. Gas mileage of car, cost of driving 500 mi
PIT_PIT [208]

Answer:

D) As the gas mileage increases, the cost of driving a fixed distance increases.

Step-by-step explanation:

Hello!

Given the variables

X₁: Gas mileage of a car

X₂: Cost of driving 500 miles

Normally the variable that changes more is the gas mileage of the car, depending on the type of the car or the age of different cars from the same model and brand, the amount of gas used to cover a fixed distance varies.

From a logical point of view you'd expect that the more gas the car consumes, the more it will cost to drive a fixed distance. So the correct option is D)

Options:

A) As the gas mileage increases, the cost of driving a fixed distance decreases.

B) As the cost of driving a fixed distance increases, the gas mileage decreases.

C) As the cost of driving a fixed distance decreases, the gas mileage increases.

D) As the gas mileage increases, the cost of driving a fixed distance increases.

I hope this helps!

6 0
4 years ago
the volume of the cone is 25.12cm cubed, and the area of the base is 12.56cm squared.what is the height
Lady bird [3.3K]

Height of the cone having volume as 25.12 \text { cm}^{3} and base area 12.56 \text { cm}^{2} is 6 cm.

Solution:

Given that volume of cone = 25.12 \text{ cm}^{3}

Area of base = 12.56 \text { cm}^{2}

Need to determine height of the cone.

Formula for volume of the cone is as follows

\mathrm{V}_{c}=\frac{1}{3} \pi r^{2}{h} \rightarrow (1)

Area of circular base of cone = A_{b}=\pi r^{2}

Replacing \pi r^{2} \text { by } A_{b} in equation (1), we get

\mathrm{V}_{\mathrm{c}}=\frac{1}{3} \mathrm{A}_{\mathrm{b}} \mathrm{h}

\Rightarrow \frac{3 \mathrm{V} c}{\mathrm{A}_{\mathrm{b}}}=h

\Rightarrow h=\frac{3 \mathrm{v} c}{\mathrm{A}_{\mathrm{b}}} \rightarrow (2)

In our case Volume of cone V_c= 21.12 \text{ cm}^3 and Area of base A_b=12.56 \text { cm}^2

On substituting the values of volume and area in equation 2 we get

h=\frac{3 \times 25.12}{12.56}=6 \text{ cm }

7 0
3 years ago
The equation of a line is y = –2x + 1. What is the equation of the line that is parallel to the first line and passes through (2
Phantasy [73]
Parallel lines have the same slope so for the new line we m=-2 and the point (2,2) we will substitute this info into our line to solce for b the y intercept.

Y=-2x+b
(2)=-2(2)+b
2=-4+b
2+4=-4+4+b
6=b

Now we put it all together using the slope m=-2 and the y intercept of 6
Y=-2x+6
5 0
3 years ago
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