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3 years ago

Calculate the value of x. Roundto nearest tenth A=29.7 B=6.3 C=0.2 D=14.5

Mathematics

1 answer:

lidiya [134]3 years ago

3 0

B. 6.3 Because, for a triangle, you can use the angles to figure out the length. You can also tell that it can’t be D or A because it’s not longer than the base and it’s not small enough to be C.

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I need to solve this system of equations, how do I do that?<br> 3x-4y=20<br> y=3/4x-5

Paha777 [63]

Answer:

Is is Infinitely many solutions so 0=0

<em><u>Step-by-step explanation:</u></em>

<h3>First we have to rearrange/simplify the equations:</h3>

Equation 1: 4y - 3x = -20

Equation (2): y - 3x/4 = -5

<h3>Then you remove the fractions by multiplication: </h3>

Multiply equation (2) by 4

<h3>The Equations now look like this: </h3>

Equation 1: 4y - 3x = -20

Equation (2): 4y - 3x = -20

<h3>Solve for y on Equation (2):</h3>

y = <u><em>3x/4 - 5</em></u>

<h3>Then plug in this for the y in Equation 1 and then solve:</h3>

4•(<u><em>3x/4-5</em></u>) - 3x = -20

Therefore the answer leads to:

Infinitely many solutions, 0=0

Hope this helped :')

4 0

3 years ago

The table shows the price for different numbers of board games:

zlopas [31]

Answer:

We conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the proportionality constant.

From the table,

For the point (2, 7)

k = y/x

= 7/2

= 3.5

For the point (4, 14)

k = y/x

= 14 / 4

= 7/2

= 3.5

For the point (5, 17.50)

k = y/x

= 17.5 / 5

= 3.5

For the point (9, 31.50)

k = y/x

= 31.50 / 9

= 3.5

From the above calculations, we computed that the value of the proportionality constant remains the same.

Thus, the table of numbers represents a proportional relationship.

Therefore, the equation becomes

y = kx

The price of 2 board game

y = 3.5 (2)

= 7

The price of 4 board game

y = 3.5 (4)

= 14

Therefore, we conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

6 0

3 years ago

Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does no

AlekseyPX

Answer:

20 times

Step-by-step explanation:

The equation is...

9.5x+105=14.75x

105=5.25x

20=x

5 0

3 years ago

Read 2 more answers

Find the measures of the acute angles of the right triangle shown

yanalaym [24]

9514 1404 393

Answer:

2x° = 64°
(x-6)° = 26°

Step-by-step explanation:

The acute angles in a right triangle are complementary:

2x° +(x -6)° = 90°

3x = 96 . . . . . . . . . divide by °, add 6

x = 32 . . . . . . . . . divide by 3

(x-6)° = (32 -6)° = 26°

2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

7 0

3 years ago

Mariam is making two types of paper lanterns. One type of flashlight needs 0.75 square feet of cardboard, while the other needs

HACTEHA [7]

Answer:

Step-by-step explanation:

Mariam is making two types of paper lanterns. One type of flashlight needs 0.75 square feet of cardboard, while the other needs 1.15 square feet. If she made 5 of each type of flashlight, it means that

For the first type flashlight that she made, she used 0.75 × 5 = 3.75 square feet of cardboard.

For the second type of flashlight she made, she used 1.15 × 5 = 5.75 square feet of cardboard.

Total amount of cardboard used is

3.75 + 5.75 = 9.5 square feet

Mariam has 12.75 square feet of paper left over. Assuming the total square feet of cardboard that she used is x, then x = amount of cardboard used + the amount that is left over. It becomes

x = 9.5 + 12.75 = 22.25 square feet

She used 22.25 square feet

8 0

3 years ago