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3 years ago

2(x + 7) + 3x = 12

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

The first step in solving the equation 2(x+7)+3x=12 is removing the brackets. That is option A => 2x +14 + 3x = 12

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Jeremy measured the room to be 10 feet long and 4.5 feet wide. He plans to purchase carpet for the entire room. The carpet cost

Andreyy89

Answer:

$205.73

Step-by-step explanation:

First we find the square area,

multiply 10 by 4.5 and we get 45

we convert feet to meters by dividing it by 3.281

45/3.281=13.71533

we the multiply 13.71533 by 15 to get the total price

we get 205.72996 and round it to 205.72

5 0

3 years ago

WILL GIVE BRAINLIEST!!!!!!!!!!!!! the answer for question one was x=30

Fofino [41]

Answer:1

1. $x = 30$

2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°

Step-by-step explanation:

It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°

We know this using the formula $(n-2)\cdot 180$ , a 4 sided figures angles will add up to

$(4-2)\cdot 180\\\\2\cdot 180\\\\360$

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

$4x + 3x + 2x + 3x = 360$

Combine like terms:

$12x = 360$

Divide both sides by 12:

$x = 30$

We know now substitute x for 30 in for all of the side lengths.

∠ABC = 4x = $4\cdot 30 = 120$ °

∠BCD = 3x = $3\cdot 30 = 90$ °

∠CDA = 2x = $2\cdot 30 = 60$ °

∠DAB = 3x = $3\cdot 30 = 90$ °

Hope this helped!

8 0

4 years ago

Read 2 more answers

City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

3 0

3 years ago

Read 2 more answers

Find conditions on the slope of a line through (9, 4) such that the x-intercept is negative and the slope is greater than its y-

Vilka [71]

Answer:

9/5 < m < 9/4

Step-by-step explanation:

The conditions are:

The line passes through (9,4)

x-intercept is negative

The slope (m) is greater than its y-intercept

If we take a point like (-1,0)

Slope (m) = change in y ÷ change in x = $\frac{0 - 9}{-1 - 4} = \frac{-9}{-5}$ = 9/5

This point satisfies the conditions above since;

The line passes through points (9,0) and (-1,0)
The x-intercept is negative i.e -1
The y-intercept is 0 and the slope which equals 9/5 is greater than 0

From the choices given;

we can say that:

m > 9/5 and m < 9/4

And can be expressed as;

9/5 < m < 9/4

8 0

3 years ago

Whats 18 over 36 simplified

Genrish500 [490]

18 divide by 36 = 0.5 or 1/2.

4 0

3 years ago

Read 2 more answers