Rachel divided 105 strawberries equally into 7 boxes. How many strawberries will 5 such boxes contain ?

Step-by-step explanation:

Equation at the end of step 1

(3x2 - 38x) + 24 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  3x2-38x+24 

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -38x  its coefficient is  -38 .

The last term, "the constant", is  +24 

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72 

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -38 .

     -72   +   -1   =   -73     -36   +   -2   =   -38   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -36  and  -2 

                     3x2 - 36x - 2x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                    3x • (x-12)

              Add up the last 2 terms, pulling out common factors :

                    2 • (x-12)

Step-5 : Add up the four terms of step 4 :

                    (3x-2)  •  (x-12)

             Which is the desired factorization

Equation at the end of step2:

(x - 12) • (3x - 2) = 0

STEP3:Theory - Roots of a product

 3.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

 3.2      Solve  :    x-12 = 0 

 Add  12  to both sides of the equation : 

                      x = 12

Solving a Single Variable Equation:

Step-by-step explanation:

[tex]if \: (x + 12) = (3x + 2) \\ 12 - 2 = 3x - x \\ 2x = 10 \\ x = 5 \\ \\ \\ if(x + 12)(3x + 2) = 0 \\ x + 12 = 0 \: \: \: or \: \: \: 3x + 2 = 0 \\ x = - 12 \: \: \: or \: \: \: x = - \frac{2}{3} [/tex]

Answer: 18

Step-by-step explanation:

if he has 3 sets of pencils and there are 6 pencils in each set then you would do 6 x 3 = 18 or 6 + 6 + 6 = 18 To solve it

Answer:

a = 1.95

Step-by-step explanation:

40a - 61 = 17

40a - 61 + 61 = 17 + 61

40a = 78

40a / 40 = 78 / 40

a = 1.95

Answer:

in the pic below!!

Step-by-step explanation:

Answer:

thats a lot of words

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

Reducing the picture by 80% and then by 70% gives a reduction of 56%

70% of 80 = 0.7 × 80 = 56%

Answer:

Is Equal to

Step-by-step explanation:

2/3 = 8/12

2/3 = 4/6

2/3 = 2/3

Answer:

B. (100)(5)=500 C.(130)(5)=650 D.130/100= 650/500 E. There are 650 7th graders this year

Step-by-step explanation:

Just took it on Egde

Answer:

A) 555

Step-by-step explanation:

555/3 = 185

Check and make sure; 185 x 3 = 555

Hope this helps!

-Jerc

Answer:

A)555 becuse 555/3=185

Answer:

smack her or washout her mouth with soap than

Step-by-step explanation:

Answer:

6 miles on the first day and 14 miles on the second day

Step-by-step explanation:

Answer:

[tex]in \: day \: one \: she \: ran \: 8 \: mile s.\\ in \: day \: two \: she \: ran \: 12 \: miles.[/tex]

Step-by-step explanation:

[tex]let \: the \: number \: of \: miles \: for \: the \: first \: day \: be : x \\ let \: the \: number \: of \: miles \: for \: the \: second \: day \: be : x + 4 \\ therefore \: in \: two \: days \: she \: ran \: 20 \: miles = x + (x + 4) \\ now......thats \: the \: required \: equation....... \\ if \: x + (x + 4) = 20 \: then : \\ 2x + 4 = 20 \\ 2x = 20 - 4 \\ 2x = 16 \\ x = 8. \\ so \: in \: day \: one \: she \: ran \: 8 \: mile \\ in \: day \: two \: she \: ran \: (8 \: + 4) \: miles = 12 \: miles[/tex]

its so funny how you reacted to the other helper

♨Rage♨

Answer:

36/9= a

and

4

Step-by-step explanation:

you just divide 36 by 9 and you get 4.

Answer:

3.45652173913

Step-by-step explanation:

the equation is 159 divided by 46

the answer is

92,380.98

Answer:

9,2380.98

Step-by-step explanation:

 92345

+00035.98

Answer:

the diver was 450 ft below sea level

Step-by-step explanation:

25ft per min

25x10=250

250+200=450ft

Answer:

450 feet below sea level

Step-by-step explanation:

25 feet per minute 10 minutes, so you multipy them 25x10=250, and then add that to the level he's at right now, 200+250=450.

Slope: -1

y-intercept: 4

*Any time x is by itself, it is either positive 1 (just x by itself) or negative 1 (x with a negative sign)

Answer:

x=-6

Step-by-step explanation:

start by subtracting 45 on both sides to get the variable by itself.

Next divide by 5 to get the value of x.

Answer:

its y 3

Step-by-step explanation:

Answer:

Find the equation of a line from a graph

To find an equation of a line given two points.

Find the slope using the given points. m=y2−y1x2−x1.

Choose one point.

Substitute the values into the point-slope form: y−y1=m(x−x1).

Write the equation in slope-intercept form.

Step-by-step explanation:

Hope this helps leave a heart c:

see what should to do buddy :

step 1-

first we have to find the gradient of the line like this:

a ( 1 , 1 )

b ( 3 , 4 )

.

step 2-

now just need one of the a or b point to put in this equation :

.

step 3-

to find the standard form of the line we have to take the y alone.

so we add the sides of the equation plus 1.

[tex]y = \frac{3}{2}x - \frac{3}{2} + 1 \\ \\ \\ y = \frac{3}{2}x - \frac{1}{2} [/tex]

And we're done.

good luck buddy ♥️♥️♥️♥️♥️

Standard form of the line passing through points (1, 1) and (3, 4) is

y = (3 / 2)x  - (1 / 2).

"Line is a one dimensional figure which has only one dimension that is length no other dimension present in it."

Formula used

( x₁ , y₁) and (x₂ , y₂) are the two points through which line passes

[tex]\frac{x-x_{1} }{x_{2} -x_{1} } =\frac{y-y_{1} }{y_{2} -y_{1} }[/tex]

According to the question,

Given ,Line passes through points( 1, 1 )and (3,4)

Substitute the value in the formula to get standard form of line we get,

  [tex]\frac{x-1 }{3 -1} =\frac{y-1 }{4 -1 }[/tex]

⇒3(x -1) = 2(y -1 )

⇒3x -3 = 2y -2

⇒y = (3/2)x - (1/2)

Hence, standard form of the line passing through points (1, 1) and (3, 4) is

y = (3 / 2)x  - (1 / 2).

Learn more about line here

https://brainly.com/question/21511618

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Step-by-step explanation:

4=-3/4(-5)+b

4=15/4+b

16/15=b

y=-3/4+16/15

Answer:

0.038

Step-by-step explanation:

Answer: No

Step-by-step explanation: It is irrational because 61 is a prime number.

Answer:

300

Step-by-step explanation:

To find the area, you should multiply 20 by 15

Answer: 6,000 square ft

Step-by-step explanation:

w=20 ft

l=100 yd

1 yard = 3 feet

l = 100 yd=100 times 3 ft=300 ft

lw = 300 times 20 = 6,000 square feet

Answer:

1

Step-by-step explanation:

Set x - 1 equal to zero

x - 1 = 0

x = 1

Answer:

6666 divided by 1111 equals 6

Step-by-step explanation:

The value of X which is at point O would be = 70°. That is option C.

The angles of a straight line is defined as the angles that when added up, sums up to 180°.

Both angle NOP, POQ and QOR are angles on a straight line that adds up to 180°.

That is;

X = 180-(50+60)

= 180-110

= 70°

Learn more about angles here:

https://brainly.com/question/28394984

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Answer:

a

Step-by-step explanation:

Answer:

A

........................

Answer:

[tex]\dfrac{x}{4} \le 35[/tex]

Step-by-step explanation:

There are 4 people splitting the gas cost equally.

Each person will pay at most $35, so the gas cost to each person can be less than $35 or equal to $35.

The total gas cost is x. The gas cost for each person is 1/4 of the total, so it is x/4.

Answer:

[tex]\dfrac{x}{4} \le 35[/tex]