Jose had a rectangular piece of paper that

was 80 mm long and 70 mm wide. He cut

the paper in half. What is the area of each

half of the paper in square millimeters?


A. 5600 sq mm

B. 2800 sq mm

C. 140 sq mm

D. Not here

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

Answer:

b

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

-3 + 4x + 3(4x + 8) = 4(7x + 3) - 3

first, solve the brackets by using the distributive property of multiplication:

3(4x + 8) = 12x + 24

4(7x + 3) = 28x + 12

rewrite equation:

-3 + 4x + 12x + 24 = 28x + 12 - 3

combine like terms:

16x + 21 = 28x + 9

subytact 21 on both sides:

16x + 21 - 21 = 28x + 9 - 21

16x = 28x - 12

subtract 28x on both sides:

16x - 28x = 28x - 28x - 12

-12x = -12

divide both sides by 12

[tex]\frac{-12x}{12} = \frac{12}{12}[/tex]

x = 1

to check, substitute 1 for x:

-3 + 4(1) + 3(4(1) + 8) = 4(7(1) + 3) - 3

-3 + 4 + 12 + 24 = 28 + 12 - 3

37 = 37

Answer:

k =  -9

Step-by-step explanation:

f(x) = 2x²+kx-20

From remainder theorem,

x = 10 and f(10) = 90

f(10) = 90

Subsitute the value of x into the expression above.

f(10) = 2(10²)+10k-20 = 90

200+10k-20 = 90

Solve for k by collecting like terms

10 k = 90+20-200

10k = 110-200

10k = -90

k = -90/10

k = -9.

Hence the value of the constant is -9

Answer:

4x + 8

-45 - 5x

7x - 21

Step-by-step explanation:

For the first one

4(x + 2)

for distributive property you multiply the number or symbol next to the outside of the parenthesis, by everything inside the parenthesis.

4(x+2)

4*x = 4x

4*2 = 8

So, this is 4x + 8

-5(9+x)

-5*9= -45

-5*x=-5x

So, this is -45 - 5x

7(x-3)

7*x= 7x

7*-3= -21

This will be 7x - 21

Hope this helps!!

-Ketifa

Answer:

a. 120 degrees

b. 2.0944 radians

Step-by-step explanation:

From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math

20 / 5min = 4 times

4 * 30 degrees = 120 degrees

We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula

degrees * [tex]\pi /180[/tex] = radians

120 * [tex]\pi / 180[/tex] = radians

2.0944 = radians

Answer:

24

Step-by-step explanation:

3 * 2 = 6 * 4 = 24

Answer: 48

Step-by-step explanation:

3 x 2^4 =3 x 16 = 48

Answer:

119.381cm

Step-by-step explanation:

C=2πr

2π * 14cm = 38πcm or 119.381cm

the awnser is C I just got it right

Answer:

6 hours and 25 minutes

Step-by-step explanation:

10:15 to 4:40 = 6 hours and 25 minutes

Answer:

672 cubes because 8×6×14 equals 672 I hope it helps

9514 1404 393

Answer:

Step-by-step explanation:

I like a graphing calculator for creating graphs. Here, each inequality is in "slope-intercept" form, so the y-intercepts are easily located (+8 and -4).

The slope (x-coefficient) is the "rise" divided by the "run". The boundary line of the first inequality has a rise of -1 for each run of 3 to the right. The second rises 5 units for each 3 to the right. Starting from the y-intercept, additional points to plot are easily found.

Of course, the boundary line is solid for y ≥ ( ), and is dashed for y < ( ). The shading will be above the line (for higher y-values) for the first inequality, and below the line (for lower y-values) for the second inequality. That puts the double-shaded solution area in the right-side quadrant of the X where the lines cross.

There are an infinite number of solution points to choose from. One of them is (12, 5). Points with an x-value that is a multiple of 3 will be easiest to substitute into the inequalities to check.

  5 ≥ (-1/3)(12) +8   ⇒   5 ≥ 4 . . . true

  5 < (5/3)(12) -4   ⇒   5 < 16 . . . true

Answer:

1. 4(10+8) 40+32=72

2. 5(15*3-2) 5(45-2) 225-10=215

Step-by-step explanation:

Answer:

[tex]\boxed{50cm^2}[/tex]

Step-by-step explanation:

Hello There!

The shown figure is a trapezoid

The formula for area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a = base 1

b = base 2

h = height

the dimensions given are

13 & 7 - bases

5 - height

so all we have to do is plug in the values into the formula

[tex]A=\frac{7+13}{2} 5\\7+13=20\\\frac{20}{2} = 10\\10*5=50\\A=50[/tex]

So we can conclude that the area of the trapezoid is 50 cm²

The set of ordered pairs from listed options demonstrating a function is given by: Option A: (-2,-4), (-1, -2), (1, 2), (2, 4)

Firstly, we need the definition a function; based on which we can distinguish the correct set of ordered pairs.

If we have two sets A and B as:

[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]

Then, function [tex]f: A \rightarrow B[/tex] is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.

The connected pairs are then written as:

[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex] under the function f.

Now, for the listed ordered pairs, checking if they're functions or not:

Each single input is connected with single output. So it is demonstrating a function.

In this case, 1 is connected to 2, and -2 both. Thus, it's not representing a function.

-1 is only connected to 2, but that does't help as  -2 is connected to -4 and 4 both. Thus, it doesn't represent a function.

-2 is connected to 4 and -4, and -1 is connected to 4 and -4, so its not a function.

Thus, the set of ordered pairs from listed options demonstrating a function is given by: Option A: (-2,-4), (-1, -2), (1, 2), (2, 4)

Learn more about functions here:

https://brainly.com/question/13395697

Answer:

Perimeter: 18    Area: 18

Step-by-step explanation:

6 + 6 + 3 + 3 = 18

6 x 3 = 18

Answer: 12

Step-by-step explanation:

H^2=144

Square root of 144

H=12

Answer:

24 mugs

Step-by-step explanation: 18.88/0.76 = ≈24

Answer:

24 mugs

Step-by-step explanation:

Disregard unimportant information

Set up an equation

Variable x = number of mugs

18.88 = 0.76x

Divide both sides by 0.76 to isolate variable x

24.842...

There's no such thing as a fraction or decimal of a mug so round down to the nearest whole number

24

Answer:

In 2014, the population is of the United States was about 318,900,000 people. Choose the best approximation of the United States Population in 2014.

people

people

Answer:

people

Step-by-step explanation:

Given

US Population in 2014: About 318,900,000

Required

Approximate

From the given options, it's seen that the population of US is to be approximated to one significant digit and the result should be presented in standard form

So, the first step is to write out the population

318,900,000

As a general rule,

Category 1: Digit 0-4 are approximated to 0

Category 2: Digit 5-9 are approximated to 1

Since, we are approximating to one significant digit, only the first digit is needed, others are to be approximated.

The first digit is 3, meaning that approximation starts from the next digit which is 1

Approximating 318,900,000 will give 300,000,000 because "1" falls in category 1 as illustrated above.

The final step is to convert 300,000,000 to standard form.

There are 8 0s after 3.

Hence,

Conclusively, the approximation of 318,900,000 is  people

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?

Let the total number of muffins = 1

Hence:

The fraction of muffins Juan ate =

1 - (1/2 + 1/4 + 1/5)

Lowest common denominator is 20

1 - ( 10 + 5 + 4/20)

1 - 19/20

= 1/20

The Fraction of muffins Juan ate is 1/20

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16cm^3[/tex]

Answer:

5x + y - 2 + 3 - 1

Step-by-step explanation:

Answer:

Ratio=  7:9

Step-by-step explanation:

What is the ratio of angelfish to  seahorses?

14 angel fish : 18 seahorses

14:18 = 7:9

Answer:

B) y = -[tex]\frac{1}{4}[/tex]x + 2

Step-by-step explanation:

slope is -1/4

y-intercept is 2

Answer:

50% percent chance the ball will be yellow

Step-by-step explanation:

Find the amount of all the balls-24 and the amount of yellow balls-12

Then divide the number of yellow balls by the number of total balls.

12÷24=0.5

0.5=50%

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²