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Serjik [45]
3 years ago
9

I need help with 1-43

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0
1-43 =

-42

You can always subtract the opposite and add the negative 
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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the
Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\

We factorize the 6 and we get:

0=x^{2}+6x-667\\

Finally we solve for x, and we get the initial dimensions of the piece of metal:

x=23l=30+x=30+23=53 in\\w=x= 23 in

7 0
3 years ago
Find the fifth term of a sequence whose first term is 8 and common ratio is 3/2
Arlecino [84]

Answer:

Option c. 81/2

Step-by-step explanation:

Fifth term: a5=?

First term: a1=8

Common ratio: r=3/2

an=a1*r^(n-1)

with n=5

a5=a1*r^(5-1)

a5=a1*r^4

Replacing the known values:

a5=8*(3/2)^4

a5=8*(3)^4/(2)^4

a5=8*81/16

Simplifying: Dividing the numerator and denominator by 8:

a5=(8*81/8)/(16/8)

a5=81/2

Answer: Option c. 81/2

3 0
3 years ago
The ratio of blue paint to yellow paint in a green paint mixture is 2:3. If you use 16 ounces of blue paint how much ounces of y
Verizon [17]

Answer:

Step-by-step explanation:

2 in 2:3 is the amount of blue paint

3 in 2:3 is the amount of yellow paint

Figure out how many times to multiply 2 to get 16:

16/2=8

Now, multiply 3 by 8, which would be equal to 24.

Ratio: 16:24

8 0
2 years ago
Can someone help me with this plz
Naily [24]

A. 3n + 4

First Four Terms: 7, 10, 13, 16

Tenth Term: 34:

Plug in 10, 3 x 10 = 30 + 4 = 34

B. 4n - 5

First Four Terms: -1, 3, 7, 11

Tenth Term: 35

Plug in 10, 4 x 10 = 40 - 5 = 35

3 0
3 years ago
Find the value of the following expression below 8(15-4)/4^2-5
Sonja [21]

Answer:

The correct answer is 1/2 or 0.5

Step-by-step explanation:


8(15-4)/4^2-5

8(11)/4^2-5

Now i'm going to multiply 8 by 11

88/4^2-5

Now solve 4^2

Which is 16.

Now we have 88/16-5

Divide 88 and 16 which is 5.5.

Now minus 5.5 - 5 which gets us our answer: 0.5


6 0
3 years ago
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