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motikmotik
3 years ago
5

Solve each system by substitution y=2x-1. 3x+8y=11

Mathematics
2 answers:
OLga [1]3 years ago
8 0

Answer:

x=1, y=1

Step-by-step explanation:

Sub y=2x-1 into 3x+8y=11

3x+8(2x-1)=11

3x+16x-8=11

19x=11+8

19x=19

x=1

Sub x=1 into y=2x-1

y=2(1)-1

y=2-1

y=1

adoni [48]3 years ago
7 0
Since 8+3 already equals 11, x=1 and y=1
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The train travels 558 miles in 3 hours. At this rate, how far does the train travel?
tresset_1 [31]

Answer:

186 mph

Step-by-step explanation:

Miles per hour means miles divided by hour(s), so 558/3 is 186 miles per hour.

5 0
3 years ago
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Find the common ratio r for the given geometric sequence and find the next three terms.
34kurt

Answer:

The common ratio is -2

Next three terms are 18, -36, and 72

Step-by-step explanation:

The common ratio is -2 since each consecutive term is being multiplied by -2

The next three terms are -9(-2) = 18, 18(-2) = -36, and -36(-2) = 72

4 0
2 years ago
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If a certain cannon is fired from a height of 8.8 meters above the​ ground, at a certain​ angle, the height of the cannonball ab
Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

h(t)=-4.9t^2+30.5t+8.8

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

-4.9t^2+30.5t+8.8=0

Multiply both sides by 10.

-49t^2+305t+88=0

For a quadratic equation of the form ax^2+bx+c=0 the solutions are: x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a = -49, b = 305 and c=88

t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}

Ignore the negative value of t as time can't be a negative number.

Thus,

t=\frac{305+\sqrt{110273}}{98}\approx6.50

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

6 0
3 years ago
According to the Census Bureau, in 2014 California had an estimated population of 3.88 x 10^7 and Wyoming had an population of 5
Verdich [7]
The population of California is 3.88 x 10^7 - 5.84 x 10^5 = 3.82 x 10^7 more than the population of Wyoming. Alternatively the population of California is 3.88 x 10^7 / 5.84 x 10^5 = 66 times the population of Wyoming. 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
8 0
3 years ago
Help me somebody if you want to help me
elena55 [62]

Answer:

A=πr²=π·3²≈28.27433

To find the area of a circle, use the equation πr²

The image is a bit blurry so from what I saw r (radius) is 3 otherwise you can use this equation if r is not 3.

If π was replaced with 3.14 the answer is 28.26 ft².

8 0
3 years ago
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