How many solutions are there to the following system of equations?<br> 10x+5y=5<br> 4x+2y=2

The area of a piece of cloth is 3/4 inches. The width is 1/2 inch. What is the length

nikitadnepr [17]

Answer:

3/2

Step-by-step explanation:

3/4÷1/2=3/2

6 0

4 years ago

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If AB is parallel to CD, and CD = 20, BD = 6, DE = 8, what is the length of AB?

castortr0y [4]

Answer:

Option b. 35 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

in this problem triangle ABE and triangle CDE are similar by AA Similarity Theorem

so

$\frac{AB}{DC}=\frac{BE}{DE}$

substitute the given values

$\frac{AB}{20}=\frac{14}{8}$

Solve for AB

$AB=\frac{14}{8}(20)$

$AB=35\ units$

5 0

3 years ago

Will give brainliest! and EXTRA points.

denis23 [38]

How far did the frog jump? the answer is one of the solutions of the quadratic equation

$0= -0.017x^2+0.51x$

because that's where the frogs height is 0 (y=0) feet.

Use your favorite formula for quadratic equations. I got two solutions: 0 and 30. 0 is clearly the starting point and 30 feet is point where the frog lands.

The height is the maximum of the quadratic form. Use the formula for maximum x of a quadratic: xmax = -b/(2a) = -0.51/(2*0.017) = 15. The maximum at that point is ymax = 3.825

So, the correct answer is (a) 30 ft far and 3.83 high.

3 0

4 years ago

. You are interested in the amount of time teenagers spend weekly working at part-time jobs. A random sample of 15 teenagers was

agasfer [191]

Answer:

$t=\frac{147.3-120}{\frac{50}{\sqrt{15}}}=2.115$

Now we can calculate the degrees of freedom

$df=n-1=15-1=14$

If we find a critical value in the t distribution with 14 degrees of freedom who accumulates 0.05 of the area in the right we got $t_{critc}= 1.761$

Since the calculated value is higher than the critical value we have enough evidence to conclude that the true mean is significantly higher than 120 minutes for the average time of part time jobs

Step-by-step explanation:

Information given

$\bar X=147.3$ represent the sample mean for the amount of time spent at part time jobs

$s=50$ represent the sample standard deviation

$n=15$ sample size

$\mu_o =120$ represent the value to check

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We want to analyze if the true mean for the amount of time spent at part time jobs is higher than 120, the system of hypothesis would be:

Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

Since we don't know the population deviation the statistic is given by:

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

Replacing the info given we got:

$t=\frac{147.3-120}{\frac{50}{\sqrt{15}}}=2.115$

Now we can calculate the degrees of freedom

$df=n-1=15-1=14$

If we find a critical value in the t distribution with 14 degrees of freedom who accumulates 0.05 of the area in the right we got $t_{critc}= 1.761$

Since the calculated value is higher than the critical value we have enough evidence to conclude that the true mean is significantly higher than 120 minutes for the average time of part time jobs

4 0

3 years ago

Find the midpoint of the segment with the following endpoints.<br> (8,1) and (5,7)

Crazy boy [7]

The midpoint would be (13/2 , 4)

6 0

3 years ago

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How many solutions are there to the following system of equations? 10x+5y=5 4x+2y=2