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Mazyrski [523]
2 years ago
6

Simplify this algebraic expression completely 10y-3(y+5)

Mathematics
1 answer:
vodka [1.7K]2 years ago
6 0

Answer:

7y - 15

Step-by-step explanation:

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A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the
ivann1987 [24]

9514 1404 393

Answer:

  34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

  a² + b² = c²

  a = √(c² -b²)

  base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.

7 0
2 years ago
I need an answer ASAP!!! Tyyyy
patriot [66]

Part A

x = amount of money she starts with

(4/9)x = cost of the dress

(5/9)x = amount of money leftover after buying the dress

note that 4/9 and 5/9 add to 1 to represent 100% of her money

(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes

We see that she spent 5/12 of her original amount of money on shoes.

-----------------------

We can look at a more concrete example if the previous section does not make sense.

Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.

Let's say she starts off with $36

Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.

Multiply that 20 by 3/4 to get (3/4)*20 = 15

In this situation, the shoes cost $15

We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)

15/36 = (3*5)/(3*12) = 5/12

-----------------------

<h3>Answer:  5/12</h3>

=======================================================

Part B

From the first section in part A, we found that:

  • (4/9)x = amount of money spent on the dress
  • (5/12)x = amount of money spent on shoes

Add those two expressions

(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x

This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.

The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.

Take 1/3 of this to get:

(1/3)*(5/36)x = (5/108)x

Then set this equal to 18 and solve for x

(5/108)x = 18

5x = 18*108

5x = 1944

x = 1944/5

x = 388.80

--------------------

Let's check the answer

If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80

She's left with 388.80 - 172.80 = 216 dollars after buying the dress.

She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.

Jing now has 216 - 162 = 54 dollars left over.

1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars

This confirms our answer.

--------------------

<h3>Answer:  $388.80</h3>
8 0
2 years ago
Which of the following correctly shows the re-grouping for 45 x 12? Group of answer choices 40 x 10; 5 x 10; 40 x 2; 5 x 40
Damm [24]

Answer:

40x10;5x10;40x2;5x2

400+50+80+10

=540

5 0
3 years ago
What is the correct answer in the photo A. B. C. or .D please explain why
balu736 [363]

Answer:

I think its D)

Step-by-step explanation:

7x−3y+2=0

Add -7x to both sides.

7x−3y+2+−7x=0+−7x

−3y+2=−7x

Add -2 to both sides.

−3y+2+−2=−7x+−2

−3y=−7x−2

Divide both sides by -3.

−3y /−3  =  −7x−2 /−3

which equals d)

I also use this app to convert equations to slope-intercept and it showed me this

8 0
3 years ago
M is between L and N. LM = 7x-1, MN = 2x +4, and LN = 12. find the value of ‘x’ an determine if M is a bisector.
Sholpan [36]

LM + MN = LN

7x - 1 + 2x + 4 = 12

9x + 3 = 12

9x = 12 - 3

9x = 9

x = 9/9

x = 1

7 0
3 years ago
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