(6m^2-3m+15)(4m-7) simplify

Answer: 4 science and 2 math books

Step-by-step explanation:

Let M and S stand for the numbers of math and science books.

We know that M+S = 6 books

and M*80 + S*50 = $360

Rearance the first: M = 6-S

Use this definition of M in the second equation:

(6-S)*80 + S*50 = $360

480-80S + 50S = 360

-30S = - 120

S = 4

Use S=4 in the first equation (M=6-S) to find the number of math books, 2.

Check to see if there number work:

4*($50)= $200

2*($80)= $320160

Total is $360. It works.

Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

A = { a^2  = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= (  { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

Answer:

x=86

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

we can use this to get a problem: x+52+42=180

simplify to get:

x+94=180

subtract 94 from each side to get your answer:

x=86

Answer: To Get both numeric terms on the right side, for example add 16 to both sides of the equation

Happy To help ;)

Step-by-step explanation:

Answer:

One t-shirt would cost $3.50

Step-by-step explanation:

$21 / 6 t-shirts = 3.50 each

Answer:

3.50

Step-by-step explanation:

6(2) = 12

6(2.50) = 15

6(3) = 18

6(3.50) = 21

If he paid $21 for 6 t-shirts and each t-shirt was the same price...then the cost of 1t-shirt was $3.50. If you want to double-check this, divide $21.00 by $3.50 and you should get 6 as the answer!

Answer:

160=volume

Step-by-step explanation:

if l*w*h=volume, and l=4, w=8, and h=5. then we can get an equation:

4*8*5=volume

simplify to get your answer

160=volume

Answer:

35/2

Step-by-step explanation:

y ~ x

y=ky

7=2k

k=7/2

y=(7/2) × 5

y=35/2

Answer:

p = 18

Step-by-step explanation:

4(p-7) = 44

The operations in order are to distribute first, 4p - 28 = 44

Isolate the variable, 4p = 72

and divide for the answer, p = 18

P stands for pictures, the number of pictures that can be saved to your photo stream at once is 18.

Answer:

Part A) g + 30 + 90 = 180

Part B) G = 60 degrees

Part C) c + 60 = 180

Part D) C = 120 degrees

Step-by-step explanation:

Part A: If angle F is 30 degrees and E is 90, then we can easily find G using the fact that the sum of a triangle is 180 degrees.

g + f + e = 180

g + 30 + 90 = 180

Part B: g + 30 + 90 = 180

g + 120 = 180

g = 60

Part C: Since G and C are on the same line and just separated by another line, we can use supplementary angles to find C.

c + g = 180

c + 60 = 180

Part D: c + 60 = 180

c = 120

Answer:

A:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.

Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.

B:Solve the equation from Part A to find the measurement of angle G:

90° + 30° + g

180° – 90° – 30°

Angle G measures 60°.

C: Angle C and angle G are supplementary angles. The sum of supplementary angles is 180°. If c and g are the measurements of angles C and G, respectively, then c + g = 180°.

The value of g is 60°. Substitute 60° in the equation to get an equation in terms of c:

c + 60° = 180°.

D:Solve the equation from Part C to find the measurement of angle C:

c + 60°

=  180°

c

=  180° – 60°

c

=  120°.

Angle C measures 120°.

the exact answer from edmentum

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Number of tree purchased                            Total Cost ($)

               1                                                                 60

               2                                                                120

               3                                                                180

               4                                                                240

               5                                                                290

For the linear function rate of change is constant.

Now, between 2 and 3 trees rate of change is given by

Now, between 3 and 5 trees rate of change is given by

This is clearly that the rate of change isn't constant. Therefore, the function is non-linear.

so,

d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Learn more about linear function here

brainly.com/question/11897796

#SPJ2

Answer: 45

Step-by-step explanation:

Answer:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

[tex]2.9[/tex] × [tex]10^3[/tex]

But, if you need to write it in scientific notation, the answer is 2,900.

Answer:

16777216

It took a lot of space on the calculator

Hello AljakeVillena!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is ?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Given,

__________________

Let's first find the total force/net force acting on the crate. The total force will be :-

We subtracted the forces because both the forces act on opposite directions.

__________________

Now, let's find the acceleration of the crate. To find the acceleration we must divide the net force by the mass. So,..

__________________

So, the acceleration of the crate is 4 m/s².

__________________

Hope it'll help you!

ℓu¢αzz ッ

Force is mass times acceleration for linear motion. The acceleration of the crate in considered situation is  4 N/kg

If net force is applied on an object of mass "m" in linear direction, with magnitude F, then, acceleration of that object is:

[tex]a = \dfrac{\rm F}{\rm m} \: \rm[/tex]

(assuming one dimensional motion, force is also in that dimension).

Here, it is given that crate's mass m = 50kg

Force pulling the crate = 450 N (positive since it is in direction of motion (horizontal)

Force resisting the crate = -250 N (negative since it is opposite to the direction of motion).

Net force on crate = 450 N + (-250 N ) = 200N (positive, thus, in the direction of motion).

Acceleration of the crate = 200/50 = 4 N/kg

Thus,  the acceleration of the crate in considered situation is  4 N/kg

Learn more about acceleration here:

https://brainly.com/question/1046166

Answer:

5.73

Step-by-step explanation:

The difference is 5.73.

Answer:

p = w - cg

Step-by-step explanation:

w = p + cg ( isolate p by subtracting cg from both sides )

w - cg = p

Answer:

x = 9

Step-by-step explanation:

7x - 25 = 4x + 2 (vertical angles)

7x - 4x = 2 + 25

3x = 27

x = 27/3

x = 9

4(9) + 2 = 38 degrees

Based on the exhibit attached, we can calculate that a person earning $50,000 will pay $9,250.

People earning $50,000 fall into the $42,001 - $100,000 bracket which means that they pay $7,250 + 25% of everything over $42,000.

The amount of taxes is:

= 7,250 + ( 25% x (50,000 - 42,000))

= 7,250 + (25% x 8,000)

= $9,250

In conclusion, the person would pay $9,250 in taxes.

Find out more at https://brainly.com/question/219730.

Answer:

Step-by-step explanation:

x = 8  ; y = 5/3

[tex]3z = \dfrac{5}{3}[/tex]

[tex]\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10[/tex]

Answer:

interest: 1,800

total: 13,800

Step-by-step explanation:

Answer:

wheeeeeeeeeeeeere is theeeeeeeeeeee queeeeeeeeeestion?

Answer:

15

Step-by-step explanation:

25=100º

x=60

[tex]\frac{25}{x}=\frac{100}{60}[/tex]

[tex]\frac{x}{25}=\frac{60}{100}[/tex]

x=15

Answer:

Step-by-step explanation:

b)

Answer:

(-6,9)

Step-by-step explanation:

You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.

Answer:

475

Step-by-step explanation:

the reason for this is because it just is