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1 year ago

Answer plz. Zzzzxxzzz

Mathematics

2 answers:

GuDViN [60]1 year ago

8 0

Answer:

m = -12

Step-by-step explanation:

Simplify the Left Hand Side:

$-5\left(3m+6\right) = -5\cdot \:3m+\left(-5\right)\cdot \:6$

$=-15m-30$

Simplify the Right Hand Side:

$-3\left(4m-2\right)=-3\cdot \:4m-\left(-3\right)\cdot \:2$

$=-3\cdot \:4m+3\cdot \:2$

$= -12m+6$

All together we have:

$-15m-30=-12m+6$

Add 30 to both sides and simplify:

$-15m-30+30=-12m+6+30$

$-15m=-12m+36$

Add 12m to both sides and simplify:

$-15m+12m=-12m+36+12m$

$-3m=36$

Finally, we divide both sides by -3:

$\frac{-3m}{-3}=\frac{36}{-3}$

And we get the answer

m = -12

Bezzdna [24]1 year ago

7 0

Answer:

m= -12

Step-by-step explanation:

-15m-30=-12m+6

-3m=36

m=-12

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In circle D, ∠EDH ≅ ∠EDG. Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are draw

Kipish [7]

Answer:

The measure of Arc EH is 123°.

Step-by-step explanation:

Consider the diagram below.

It is provided that ∠EDH ≅ ∠EDG.

This implies that: ∠EDH = ∠EDG

The arc measure is same as the measure of the central angle.

That is:

arc FE = ∠EDF = 57°

arc FG = ∠FDG = 66°

Compute the measure of angle ∠EDH as follows:

arc EH = ∠EDH

=∠EDG

= ∠EDF + ∠FDG

= 57° + 66°

= 123°

Thus, the measure of Arc EH is 123°.

6 0

2 years ago

The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. A random sample

oksano4ka [1.4K]

Answer:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

Step-by-step explanation:

Data given and notation

$\bar X=55.82$ represent the sample mean

$s=0.77$ represent the standard deviation for the sample

$n=49$ sample size

$\mu_o =56$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:

Null hypothesis: $\mu \geq 56$

Alternative hypothesis: $\mu < 56$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

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2 years ago

A good practice in mathematics is to always check your work. Explain why it is very important to do so when you are solving equa

luda_lava [24]

If you don't double check your answers by substituting them back into the original equation, you may be introducing extraneous solutions into the problem which is why you should always check to confirm your answer is accurate. I hope this helps! :)

5 0

2 years ago

A 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has

andreev551 [17]

Answer:

$0.01m +\frac{1}{2} \geq 2.2$

Step-by-step explanation:

Let m be number of minutes it will take to download the whole game.

We are told that computer is downloading at a rate of 0.01 GB per minute and half GB game is already downloaded. So 0.01*m+0.5 will be equal to 2.2 as game size is 2.2 GB.

Let us find the least number of minutes it will take to download the whole game.

$0.01m +\frac{1}{2} \geq 2.2$

$0.01m +0.5\geq 2.2$

$0.01m \geq 2.2-0.5$

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$m\geq \frac{1.5}{0.01}$

Therefore, $0.01m +\frac{1}{2} \geq 2.2$ is our desired inequality.

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2 years ago

Adam is working two summer jobs, making $9 per hour washing cars and $8 per hour walking dogs. Last week Adam earned a total of

Phantasy [73]

Answer:

Washing cars= 4 hours

Walking dogs= 10 hours

Step-by-step explanation:

You want to start by creating equations. So one thing we know is that he makes $9 an hour washing cars(x) and $8 walking dogs(y).

$9x+$8y=$116

The second Equation is based off of the hours worked. We know that he worked 6 hours more walking the dogs than he did washing cars, so we can take x(being the washing hours) and add 6 to it to equal y (the number of dog hours).

y=x+6

Now You plug what y equals into the first equation to solve for x.

9x+8(x+6)=116 Next distribute the 8 to each term.

9x+8(x)+8(6)=116

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-48 -48

17x=68 Now divide by 17 on both sides.

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17 17

x=4 Finally we can take x and plug it back in to one of the equations in order to solve for y. I'm going to choose the second equation.

y=(4)+6

y=10

8 0

2 years ago