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marysya [2.9K]
3 years ago
13

Children shorter than 54 inches get into the water park free. Howard is currently 42 inches tall. He grows approximately 3 inche

s per year. Write an inequality to represent the number of years, y, that he can get in free. A. 42y + 3 ≤ 54 B. 42 + 3y ≤ 54 C. 42 + 3y < 54 D. 42y + 3 < 54
Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer:

42 + 3y ≤ 54

Step-by-step explanation:

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Determine
mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

8 0
3 years ago
A builder could get 9 sheets of Sheetrock for $20. If he bought 15 sheets, how much money would he have spent?
lora16 [44]
$33.33

20/9 = $2.22 per sheet
$2.22*15 = $33.33
4 0
3 years ago
Read 2 more answers
3. Alyssa has to make 70 pancakes, how many cups of flour will she have to use?
Sonbull [250]

Answer:

14 cups

Step-by-step explanation:

3 0
3 years ago
A tree that is 10 feet tall casts a shadow that is is 5 feet long. Find the height of a light pole that casts a 9 foot
larisa86 [58]

Answer:

The light pole is 18 feet tall. This is because it casts a shadow that is 9 feet long.

4 0
3 years ago
Blake is cutting a piece of rope into fourths if each piece is 16 inches long what is the length of the entire rope
Dovator [93]
The length of the entire rope is 64 inches as when it is cut into four pieces one is 16 therefore when multiplying 16 by four you should get the length of the entire rope which is 64.
8 0
3 years ago
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