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NISA [10]
3 years ago
9

the length of a rectangle is 3cm greater then it's width. The perimeter is 24cm. Find the dimensions of the rectangle.

Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0
The perimeter formula is 2 times length plus 2 times width.
2(x+3)+2(x)=24
Distribute.
2x+6+2x=24
4x+6=24
Subtract 6 from both sides.
4x=18
x=2
So the length is 5 and the width is 2
vodomira [7]3 years ago
5 0
Length is 15 while width is 9
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4 years ago
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paid after the grace period, on average, more than 4 times in 2018, what are the null and alternative hypotheses? Select the cor
Mila [183]

Answer:

<em>H</em>₀: <em>μ</em> = 4 vs. <em>H ₐ</em>: <em>μ </em>> 4

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by H ₐ.

In this case we need to test whether the amount is paid after the grace period, on average, more than 4 times in 2018.

The hypothesis can be defined as follows:

<em>H</em>₀: <em>μ</em> = 4 vs. <em>H ₐ</em>: <em>μ </em>> 4

4 0
3 years ago
Small notebooks cost $3.50 and large notebooks cost $5.00. She needs to buy 31 notebooks, and she has $134 to spend. How many sm
Darina [25.2K]

Let's assume

number of small notebooks =x

number of large notebooks =y

we are given

total number of notebooks =31

so, we get

x+y=31

now, we can solve for y

y=31-x

we have

Small notebooks cost $3.50 and large notebooks cost $5.00

she has $134 to spend

so, we get

3.50x+5y=134

now, we can plug y

3.50x+5(31-x)=134

3.50x+5*31-5x=134

-1.5x+155=134

-1.5x+155-155=134-155

x=14

now, we can find y

y=31-14

y=17

so,

number of small notebooks is 14

number of large notebooks is 17.............Answer


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3 years ago
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Answer:

Step-by-step explanation:

She has 290 cents.

Nickels: 6x+1

Quarters: x

Dimes: 4x

Now that we've converted it algebraically, we can add them

6x+1 + x + 4x = 11x+1 = 290

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3 years ago
What is the value of X?
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I believe the answer either 4 or 6
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