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3 years ago

Someone please help! I gave this extra points because the question has a picture. I will give thanks and 5 star for any answer.

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Answer:

53°

Step-by-step explanation:

x + (2x + 21) = 180

(Corresponding angles &

Supplementary angles)

3x + 21 = 180

3x = 159

x = 53°

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Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in

Thepotemich [5.8K]

Answer:

34 mph.

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.

Now we will use formula $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Upon using our given information we will get two equation and two unknowns as:

$x+16=\frac{420-y}{5}...(1)$

$x=\frac{y}{5}...(2)$

Upon substituting $x=\frac{y}{5}$ in 1st equation we will get,

$\frac{y}{5}+16=\frac{420-y}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5(\frac{y}{5}+16)=420-y$

$5\times\frac{y}{5}+5\times 16=420-y$

$y+80=420-y$

$y+80+y=420-y+y$

$2y+80=420$

$2y=420-80$

$2y=340$

$y=\frac{340}{2}$

$y=170$

Upon substituting y=170 in 2nd equation we will get,

$x=\frac{170}{5}$

$x=34$

Therefore, Charlene's speed is 34 miles per hour.

6 0

3 years ago

These 12 shapes are put into a bag. If you reach

Svetlanka [38]

25 times :) hope this helped!

3 0

2 years ago

Find the distance between the points (-2, 4) and (5, 4). 3 7 8

Lina20 [59]

Try this solution:
distance= $\sqrt{(5-(-2)^2+(4-4)^2} = \sqrt{49} =7.$

answer: 7

8 0

3 years ago

The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this r

nadezda [96]

If the width is 28 inches, then divide that by 4 and you get 7. You multiply that by 5 to get the length. That would be 35. Just to check, you know that the width 28 and length 35 are in ratio 4:5 if you divide by 7. The perimeter would be 2(35+28)=63*2=126. So the perimeter is 126. The area would be 35*28 which is 980. To sum up, the answers are as follows.

Length: 35 in
Perimeter: 126 in
Area: 980 inches squared.

5 0

3 years ago

Can somebody good at math help me with these please I would really appreciate it

balandron [24]

Answer:

1) The discount is $4.05

The sale price is $18.45

2) The discount is $10

The sale price is $30

3) The discount is $2.6

The sale price is $23.4

Step-by-step explanation:

1) What is the discount and sale price for a haircut that originally cost $22.50 with an 18% discount.

Actual Price= $22.50

Discount = 18%

Finding discount:

$18\%\:of\:22.50\\=\frac{18}{100}\times 22.50\\=4.05$

So, the discount is $4.05

Finding Sale Price

The sale price can be found by: $Sale\;Price=Actual\:Price-Discount$

Putting values and finding sale price:

$Sale\:Price=22.50-4.05\\Sale\:Price=18.45$

The sale price is $18.45

2) What is the discount and sale price for a sweatshirt that originally priced $40.00 with an 25% discount.

Actual Price= $40.00

Discount = 25%

Finding discount:

$25\%\:of\:40.00\\=\frac{25}{100}\times 40.00\\=10$

So, the discount is $10

Finding Sale Price

The sale price can be found by: $Sale\;Price=Actual\:Price-Discount$

Putting values and finding sale price:

$Sale\:Price=40.00-10\\Sale\:Price=30$

The sale price is $30

2) What is the discount and sale price for a large pizza that originally cost $26.00 with an 10% discount.

Actual Price= $26.00

Discount = 10%

Finding discount:

$10\%\:of\:26.00\\=\frac{10}{100}\times 26.00\\=2.6$

So, the discount is $2.6

Finding Sale Price

The sale price can be found by: $Sale\;Price=Actual\:Price-Discount$

Putting values and finding sale price:

$Sale\:Price=26.00-2.6\\Sale\:Price=23.4$

The sale price is $23.4

7 0

3 years ago