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3 years ago

Help me please!!!!!!!!!!!!!

Mathematics

1 answer:

lana [24]3 years ago

4 0

Answer:

1. 125,000

3 17.5

4. 15

5. 17.5

Step-by-step explanation:

1. Create a unit rate. 20,000/8 = 2,500 straws per hour. This means in 50 hours multiply 2500*50 = 125,000.

3. Mean is the average and is found by adding all the date points and dividing by the number of them.

15 + 16 + 17 + 23 + 1 1+ 19 + 20 + 15 + 18 + 22 + 15 + 19 = 210

210 / 12 = 17.5

4. The mode is the number that occurs most often. Write the numbers in order and choose the one that happens the most.

11, 15, 15, 15, 16, 17, 18, 19, 19, 20, 22, 23

15 is the mode

5. The median is the number in the middle. If two numbers then take the average. The numbers in the middle when written in order are 17 and 18. So the 17+18 / 2= 17.5

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The solution to -2[1 - 4x] = 3x + 8 is

kvasek [131]

Answer: " 14 " .

________________________

→ " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

→ -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

→ a(b + c) = ab + ac .

________________________

As such, we can rewrite:

→ -2(1 − 4x) = (-2)(1) + (-2)(-4x) ;

= - 2 + 8x ;

↔ 8x − 2 ;

________________________

Now, rewrite the entire expression:

→ 8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

and add "2" to each side of the equation:

________________________

→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:

→ 5x = 10 ;

Now, divide each side of the equation by "5" ;

to isolate "x" on side of the equation;

& to solve for "x" ;

________________________

→ 5x/5 = 10/5 ;

to get:

________________________

→ x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;

when "x = 2" :

________________________

Note the given equation:

________________________

→ -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

→ 3(2) + 8 = 6 + 8 = 14 .

___________________________________

→ 14 =? 14 ??? ; Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0

3 years ago

Jim's soccer team is making fruit baskets for a fundraiser. They have 88 peaches, 60 bananas, and 54 kiwis to use. If each baske

cluponka [151]

The greatest number of fruit baskets they can make is 2 with each one having 44 peaches, 30 bananas and 27 kiwis

<h3><u>Solution:</u></h3>

Jim’s fruit basket has 88 peaches, 60 bananas and 54 Kiwis to use.

If each basket have same number of each type, we have to determine the greatest number of fruit baskets they can make

We need to find greatest common factor of 88, 60 and 54

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 88, 60 and 54:</u></em>

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88

Then the greatest common factor is 2

On dividing the number of fruits by 2 we get

$\begin{array}{l}{\text { Apples in each basket }=\frac{88}{2}=44} \\\\ {\text { Bananas in each basket }=\frac{60}{2}=30} \\\\ {\text { Kiwis in each basket }=\frac{54}{2}=27}\end{array}$

Hence, there can be 2 basket with each one having 44 peaches, 30 bananas and 27 kiwis

6 0

3 years ago

What is the area of this compound shape?!

iris [78.8K]

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BlackZzzverrR [31]

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