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3 years ago

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Sydney has 27 coins in her collection.James gave her 9 coins for her birthday. Danny gave her 7 more than James did. How many co

ins does Sydney have in her collection now?

1 answer:

Natali5045456 [20]3 years ago

3 0

The answer is 52 coins

You might be interested in

Need help finding measure of angle R.

Hunter-Best [27]

Answer:

B.) 113°

Step-by-step explanation:

In the isosceles trapezoid, angles T and S are congruent. Find the value of x:

$4x+7=7x-38$

Subtract 4x from both sides:

$4x-4x+7=7x-38-4x\\7=3x-38$

Add 38 to both sides:

$7+38=3x-38+38\\45=3x$

Divide both sides by 3:

$\frac{45}{3}=\frac{3x}{3}\\\\ 15=x\\\\x=15$

x is equal to 15. Now substitute the value of x into the one of the expressions:

$4(15)+7\\60+7\\67$

or

$7(15)-38\\105-38\\67$

The angles T and S are 67°.

The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:

$67+67=134$

Subtract their total from 360:

$360-134=226$

The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:

$\frac{226}{2}= 113$

Angle R is 113°.

Done.

7 0

3 years ago

Find a polynomial equation that has zeros at x = -2, x = 0, x = 3 and x = 5

inn [45]

Answer: its B

Step-by-step explanation:

7 0

3 years ago

The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop

Anettt [7]

Answer:

a. $\frac{1}{15}$

b. $\frac{2}{5}$

c. $\frac{14}{15}$

d. $\frac{8}{15}$

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

a. Favorable cases for Both the laptops to be selected = $_2C_2$ = 1

Total number of cases = 15

Required probability is $\frac{1}{15}$ .

b. Favorable cases for both the desktop machines selected = $_4C_2=6$

Total number of cases = 15

Required probability is $\frac{6}{15} = \frac{2}{5}$ .

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

2. Both desktop:

Favorable cases = $_4C_2=6$

Total number of favorable cases = 8 + 6 = 14

Required probability is $\frac{14}{15}$ .

d. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

Total number of cases = 15

Required probability is $\frac{8}{15}$ .

8 0

4 years ago

/////////////////////////////////////////

fenix001 [56]

Since we know the slope is 3 we have part of the equation already (y=3x+b). Now we need to find the y-intercept. To do that we plug in the point that was given to us in the question and solve for b.

0=3(-5)+b
0=-15+b
15=b

Now that we have the y intercept we can put the equation together.

Answer: y=3x+15

Hope this helps :)

3 0

3 years ago

Can someone help me with this please?

irakobra [83]

Answer:

b. 28.1

Step-by-step explanation:

By the property of intersecting secant and tangent out side of the circle.

$20 \times (20 + x) = {31}^{2} \\ 20(20 + x) = 961 \\ 20 + x = \frac{961}{20} \\ 20 + x = 48.05 \\ x = 48.05 - 20 \\ x = 28.05 \\ \huge \red{ \boxed{ x = 28.1}}$

3 0

4 years ago