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Dmitrij [34]
3 years ago
11

(Please help!) Divide: (4x² +33x+37) = (x+7) Quotient: Remainder:

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

2

Step-by-step explanation:

4x² + 33 x + 37 = (4 x + 5) × (x + 7) + 2

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in a biology course, students spend 250 minutes in a lab and lecture each week. the lab time is 20 minutes shorter than the lect
Luden [163]

Answer:

The students spent 135 minutes in lecture and 115 minutes in a lab.

Step-by-step explanation:

Let x and y be the respective amount of time students spent in lecture and lab.

x-20=y --- eqn 1

x+y=250 --- eqn 2

From eqn 1, x=y+20 --- eqn 3

Sub eqn 3 into eqn 2:

y+20+y=250

       2y=230

         y=115

Sub y=115 into eqn 3:

x=115+20

 =135

∴x=135, y=115

6 0
3 years ago
A shipping company is creating their own shipping boxes. They have created a box with a volume of 800in^3, a helght of 8 inches
Kazeer [188]

Answer:

Length=10 Inches

Width=10 Inches

Step-by-step explanation:

Volume of the box =800in^3

Height=8 Inches

Base Perimeter =40 Inches

Volume of a box=lbh

SInce h=8 in, V=800.

Then:

8bl=800

bl=100

l=\frac{100}{b}

Base Perimeter=40 Inches

Perimeter of the Base= 2(l+b)

Therefore: 2(l+b)=40

Substituting l=\frac{100}{b}

2(\frac{100}{b}+b)=40\\\frac{100+b^2}{b}=20\\$Cross Multiply\\100+b^2=20b\\b^2-20b+100=0\\$Solving the quadratic equation \\b^2-10b-10b+100=0\\b(b-10)-10(b-10)=0\\(b-10)(b-10)=0\\b-10=0 (Twice)\\b=10 \:Inch

Recall:

l=\frac{100}{b}=\frac{100}{10}\\l=10 Inch

Therefore:

Length=10 Inches

Width=10 Inches

8 0
3 years ago
What does median mean
LenKa [72]

Answer:110

Step-by-step explanation:

its right i know

3 0
3 years ago
Read 2 more answers
For what ordered pair (a,b) are there infinite solutions (x,y) to the system ; 3ax + 3y=5b, 2x+y=5
Semmy [17]

Answer:

The ordered pair is (2,3)

Step-by-step explanation:

we know that

If a system of equations has infinite solutions, then the equations are the same

we have

3ax+3y=5b -----> equation A

2x+y=5 ----> equation B

Multiply equation B by 3 both sides

3*(2x+y)=5*3

6x+3y=15 -----> equation C

Compare equation A and equation C

so

3ax=6x------> 3a=6 -----> a=2

5b=15 ------> b=3

The ordered pair is (2,3)

6 0
4 years ago
Read 2 more answers
A wallet contains $460 in $5, $10, and $20 bills. The number of $5 bills exceeds twice the number of $10 bills by 4, and the num
Butoxors [25]

Answer:

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

Step-by-step explanation:

Let x number of $5, y number of $10 and z number of $20

The number of $5 bills exceeds twice the number of $10 bills by 4.

Therefore, x = 2y + 4

The number of $20 bills is 6 fewer than the number of $10 bills.

Therefore, z = y - 6

A wallet contains $460 in $5, $10, and $20 bills.

Therefore,

5x + 10y + 20z = 460

Substitute x and y into equation

    5(2y+4) + 10y + 20(y-6) = 460

10y + 20 + 10y + 20y - 120 = 460

                           40y - 100 = 460

                                    40y = 460 + 100

                                    40y = 560

                                      y = 14

  • Put the value of y into x = 2y + 4 and solve for x

                                      x = 2(14) + 4

                                      x = 32

  • Put the value of y into z = y - 6 and solve for z

                                      z = 14 - 6

                                      z = 8

Hence, the each type of bills,

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

3 0
4 years ago
Read 2 more answers
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