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2 years ago

-20=4x-4 solve for x simplify your answer as much as possible

Mathematics

2 answers:

LekaFEV [45]2 years ago

4 0

Answer: x = -4

Step-by-step explanation:

so, we first move the terms.

-4x = -4 + 20

then, we just calculate that.

-4x = 16

finally, simply divide both sides.

x = -4

nikklg [1K]2 years ago

4 0

Answer: x = -4

Step by step

4x – 4 = –20

4x = – 20 + 4

4x = –16

x = –16/4

x = –4

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1/2-5/6 can someone help me

aleksandr82 [10.1K]

Exact Form:

-1/3

Decimal Form:

-0.3 (with a line over the 3)

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2 years ago

Read 2 more answers

Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h

shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

Consider a ΔABC be the play ground vertex of playground,

And AB and BC be the sides making right angle.

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

For Rectangle dimensions,

We know that if same sized triangles composes each other forms a rectangle.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

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3 years ago

An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of firefighting s

UNO [17]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity

Sample 1 (aqueous film forming foam)

n₁= 5

X[bar]₁= 4.7

S₁= 0.6

Sample 2 (alcohol-type concentrates )

n₂= 5

X[bar]₂= 6.8

S₂= 0.8

Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?

The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:

t= $\frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }$

a) 95% CI

(X[bar]_1 - X[bar]_2) ± $t_{n_1 + n_2 - 2}$ * $Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }$

Sa²= $\frac{(n_1-1)S_1^2 + (n_2-1)S_2^2}{n_1 + n_2 - 2}$ = $\frac{(5-1)0.36 + (5-1)0.64}{5 + 5 - 2}$ = 0.5

Sa= 0.707ç

$t_{n_1 + n_2 -2: 1 - \alpha /2} = t_{8; 0.975} = 2.306$

(4.7-6.9) ± 2.306* $(0.707\sqrt{\frac{1}{5}+\frac{1}{5} })$

[-4.78; 0.38]

With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.

The hypothesis is:

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

The interval contains the cero, so the decision is to reject the null hypothesis.

Complete question

a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.

b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?

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3 years ago

Priya has a recipe for banana bread. She uses 7 ½ cups of flour to make 3 loaves of banana bread. Andre will follow the same rec

Mnenie [13.5K]

Answer:

Option B)

$b = \dfrac{2}{5}f$

Step-by-step explanation:

We are given the following in the question:

Priya uses $7\frac{1}{2}$ cups of flour to make 3 loaves of banana bread.

Thus, we can write the ration of bread to amount of flour used as:

$\text{Ratio} = \dfrac{3}{7\frac{1}{2}} = \dfrac{3}{\frac{15}{2}} = \dfrac{6}{15}$

Now, b loaves of banana bread using f cups of flour.

This measurement will follow the same ratio.

Thus, we can write:

$\dfrac{b}{f} = \dfrac{6}{15}\\\\b = \dfrac{2}{5}f$

Thus, the correct answer is

Option B)

$b = \dfrac{2}{5}f$

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2 years ago

The equation x squared + y squared = r squared

WITCHER [35]

$(5-0)^2+(-2+0)^2=r^2\\
25+4=r^2\\
29=r^2\\\\
\boxed{x^2+y^2=\sqrt{29}}$

5 0

2 years ago