The area of a rectangle is x²-4x-21
Write down an expression for the width and the length of
the rectangle.​

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.

Let's define the variables we will be using.

We know that "Mary is twice as old as Helen’s age"

Then:

m = 2*h

"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."

(m + 4) = 4*(h - 8)

Then the system of equations is:

m = 2*h

(m + 4) = 4*(h - 8)

To solve it, we can replace m by 2*h in the second equation, so we get:

(2h + 4) = 4*(h - 8)

2*h + 4 = 4*h - 32

4 + 32 = 4*h - 2*h

36/2 = h = 18

And we know that:

m = 2*h = 2*18 = 36

So Helen is 18 years old, and Mary is 36 years old.

If you want to learn more, you can read:

https://brainly.com/question/9351049

Answer:

x = 15/8

Step-by-step explanation:

x/3 = 5/8

Using cross products

8x = 3*5

8x = 15

Divide each side by 8

8x/8 = 15/8

x = 15/8

X= 1 7/8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

She need to divide 24 by 2 to get 12. She can fill 12 tortillas

Step-by-step explanation:

Step-by-step explanation:

Pattern 1 :

Arithmetic Sequence

Common term = 4

Pattern 2 :

Geometric Sequence

Common ratio = 2

Answer:

pattern 1 arithmetic The common difference is 4. The pattern starts at 3 and always adds 4 to get to the next term.

pattern 2 geometric The common ratio is 2. The pattern starts at 3 and always multiplies by 2 to get to the next term.

Step-by-step explanation:

Answer:

13 bricks

Step-by-step explanation:

Given parameter:

Diameter of the patio = 13m

Area of one bundle of brick  = 116ft²

Unknown:

The number of bricks that will cover the patio = ?

Solution:

To solve this problem, we must find the area of the patio first.

     Area of the patio = π r²

r is the radius of the patio;

   Radius  = [tex]\frac{13}{2}[/tex]

 So area = π  x ( [tex]\frac{13}{2}[/tex]) ² = 132.75m²

Now, let us convert the Area of the brick from ft² to m²;

     1ft²  = 0.093m²

   116ft² = 0.093 x 116  = 10.79m²;

The number of bricks required to cover the patio = [tex]\frac{132.75}{10.79}[/tex]   = 12.3 bricks,

Realistically, about 13 bricks would be needed.

Answer:

-12x - 14y

Step-by-step explanation:

First I would move them side by side so I can see it better so:

-7x - 5x - 8y - 6y

now combine the x values together and the y values together:

-12x - 14y

Answer:

-z/e

Step-by-step explanation:

-x/y = -z/e

Answer: the expression (120/100)*80 results in 80% of 120

Step-by-step explanation:

11 members and we have to pick three without replacement.

[tex]_{11} C_{3}[/tex] = 165

There are 165 possible sets of officers

Answer:

46:74

Step-by-step explanation:

csc(2x) + cot(2x) = 1 / sin(2x) + cos(2x) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / (2 sin(x) cos(x))

csc(2x) + cot(2x) = cos²(x) / (sin(x) cos(x))

csc(2x) + cot(2x) = cos(x) / sin(x)

csc(2x) + cot(2x) = cot(x)

Answer:  336 is the sum of the non-median scores

Step-by-step explanation:  if the sum of 5 scores is 420, the average is 420/5 = 84  

That is also the median to be subtracted:  420-84= 336

Answer:

Explained below.

Step-by-step explanation:

Denote the events as follows:

C = chess

V = volleyball

B = basketball

The data provided is as follows:

n (C) = 30

n (V) = 19

n (B) = 25

n (C ∩ V) = 14

n (B ∩ V) = 8

n (B ∩ C) = 15

n (C ∩ V ∩ B) = 5

Consider the Venn diagram below.

The number of students who played only chess is marked in pink:

n (Only C) = 6

The number of students who played only volleyball is marked in blue:

n (Only V) = 2

The number of students who played only basketball is marked in orange:

n (Only B) = 7

The number of students who played all three is marked in grey:

n (C ∩ V ∩ B) = 5

Answer: c

i’m pretty sure it’s c

Answer:

B

Step-by-step explanation:

15 rows with 7 cookies is just multiplying, 15*7, to get how many cookies that's in the tray. There's also 9 trays, so we multiply (15*7) by 9

Answer:

5356$

Step-by-step explanation:

206*26=5356

Answer:

y=-5x+1

Step-by-step explanation:

plug the coordinate points to the equation, and find your y intercept

Answer:

A: [tex]x^{2} \leq 16[/tex]

A is a solution set of the inequality.  

This means:

[tex]x^{2} \leq 4[/tex]

∩ (AND)

[tex]x^{2} \geq -4[/tex]

Which can also be written as:

Interval notation: x ∈ [-4, 4]

Set notation:  {x | [tex]-4 \leq x \leq 4[/tex] }

Answer:

7

Step-by-step explanation:

Answer:

The answer is n = 11.

Step-by-step explanation:

Answer:

Step-by-step explanation:

n + 5 =  -1

 -16

n + 5 = -1 (-16)

n = 16 - 5

n = 11

Answer:

Step-by-step explanation:

lol this was really funny

scientific notions have to be less than 10 and more than 1

1. 68600 / 10000 = 6.86

A. 6.86 x 10^4

2. 0.082 x 100 = 8.2

C. 8.2 x 10^-2

3. 0.068 x 100 = 6.8

D. 6.8 x 10^-2

4. 0.93 x 10 = 9.3

C. 9.3 x 10^-1

5. 0.000923 x 10000 = 9.23

D. 9.23 x 10^-5

Answer:

0 to 10

Step-by-step explanation:

Answer:

[tex]\huge{\boxed{\sf{ 2 }}}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( 1 , -5 ) [tex]\longrightarrow[/tex] ( x1 , y1 )

B ( 4 , 1 ) [tex]\longrightarrow[/tex] ( x2 , y2 )

Finding the slope :

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{1 - ( -5 )}{4 - 1}[/tex]

Slope = [tex]\frac{1+5}{4-1}[/tex]

Slope = [tex]\frac{6}{3}[/tex]

Slope = [tex]2[/tex]

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

uh

Step-by-step explanation:

gygygyg

Answer:

Jade and Jackson

The total payback of this loan = $438,782.72

The interest of this total payback is $228,782.72

Step-by-step explanation:

a) Data and Calculations:

Mortgage = $210,000

Interest rate of mortgage = 5.7%

Monthly payment = $1,218.84

Using an online calculator for Mortgage Payoff, the Original Payoff Schedule  is:

Monthly Pay = $1,218.84

Total Payments = $438,782.72

Total Interest = $228,782.72

Answer:

Step-by-step explanation:

1218.84⋅12⋅30=$438,782.40

The total interest paid is the total payback less the amount borrowed.

$438,782.40−$210,000=$228,782.40

Answer:

A, B, and D.

Step-by-step explanation:

HEY!! remember that if a number has ^2, it basically means it's multiplied by itself. for example:

5^2 = 5 x 5

aka, 25.

You can use this to check each of the answers in your formula, like this:

if x=6, then:

x^2 < 100

6 x 6 = 36

36 < 100

A is one of your correct answers!

Also remember, if you multiply a negative by a negative, it becomes positive.

-5 x -5 = 25

-10 x -10 = 100

Answer:

2

Step-by-step explanation:

Given the data:

Resort___________Location _____Daily Rate

Beaver Creek_____ Colorado______ $137

Deer Valley________ Utah_________$115

Diamond Peak______California_____ $95

Hunter____________New York_____ $79

Mount Bachelor_____Oregon______ $83

Butternut________ Massachusetts__ $108

The dataset above has two variables wgjich corresponds to the characteristic of each distinct element in the dataset. The variables are usually recognized as columns in a tabular dataset. The variables in the dataset above are :

Location and Daily rate which are attributes of each distinct Ski Resorts which corresponds to elements of the data.