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Dominik [7]
3 years ago
9

Simplify the expression -3/8(-4y+z)

Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

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The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the
xxTIMURxx [149]

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

3 0
3 years ago
The football team has a total of 50 jerseys. There are 35 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized j
Mariulka [41]
Hello,

This problem can be simply solved by putting everything into fractions. Since there's a total of 50 shirts but 35 of them are medium sized then the fraction would be 35/50. You're trying to find the percentage so the 2nd fraction would be out of 100 so it would be ?/100.
35      ?
----  =  ----
50    100
Now you diagonal multiplication then downwards division.
100 x 35=3500
3500/50=70
So your answer is 70%!! :D
Hope this helps a bunch!!!


4 0
3 years ago
A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha
gogolik [260]

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

8 0
3 years ago
Stan worked 4 years less than Marco. This year Stan has worked 29 years. If b is how long Marco worked, the equation b – 4 = 29
My name is Ann [436]
By adding 4 to both side
7 0
3 years ago
Read 2 more answers
0.48 = log x solve for x
marissa [1.9K]

Answer: x≈3

Step-by-step explanation:

0.48 = log x , this could also be written as :

log_{10} x = 0.48 , that is

x = 10^{0.48}

x = 3.01995172

x≈ 3

8 0
3 years ago
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