Which expression is equivalent to…

Answer:

a) 4 cm

b) 5 cm

Step-by-step explanation:

a) Area of a rectangle = width x length

From inspection, the width of this rectangle is 2 cm and the length is 8 cm

⇒ area of the rectangle = 2 x 8 = 16 cm²

A square has 4 sides of equal measure.

Let the side of a square = [tex]x[/tex]

Therefore, the area of a square = [tex]x \times x = x^2[/tex]

If the square has the same area as the rectangle, then

[tex]x^2=16[/tex]

Square root both sides:  [tex]x = \sqrt{16} =\pm4[/tex]

Since the length of a side cannot be negative, [tex]x=4[/tex] only

So the side length of the square = 4 cm

b) Perimeter of a rectangle = 2 x length + 2 x width

⇒ perimeter of the rectangle = (2 x 8) + (2 x 2) = 20 cm

Since the side lengths of a square are equal, and a side length = [tex]x[/tex]

Perimeter of a square = 4 x [tex]x[/tex] = 4[tex]x[/tex]

If a square has the same perimeter as the rectangle, then

[tex]4x=20[/tex]

Divide both sides by 4:  [tex]x=20 \div 4 = 5[/tex]

side length of this square = 5 cm

Answer:

a)4cm  b)5cm

Step-by-step explanation:

a)

[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Area=l*b\\\\Area=8cm*2cm\\\\Area=16cm^{2}[/tex]

Area of the rectangle is 16cm².

When,

Area of the rectangle is equal to the area of the square then,

Area of square=16cm²

Now,

→Length=√Area

→Length=√16cm²

→Length=4cm

b)

[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Perimeter=2(l+b)\\\\Perimeter=2(8cm+2cm)\\\\Perimeter=2(10cm)\\\\Perimeter=20cm[/tex]

The perimeter of rectangle=20cm

When,

The perimeter of the rectangle is equal to the perimeter of the square then,

The perimeter of square=20cm

Now,

Length=Perimeter/4

Length=20cm/4

Length=5cm

Answer:

Quadratic

Step-by-step explanation:

anytime the Y values repeat in that fashion, it's going to be a parabola aka quadratic function

Answer:

here we can use mathematics to make an equation but according to the questions rewarded marks we can only determine an sketch of best fit line

and not good in 1993 (predicted as graph is less accurate)

other period is 1995 to 2005

just somewhere you can see an line straight

Answer:

the first option

because when x is increased by 50 and y is decreased by 50 the equation goes thus

x+ 50 + y - 50 = 600

and + 50 -50 = 0

therefore x + y = 600

Answer:

[B] x = 83, y = 60

Step-by-step explanation:

Find the value of x

we know that

[tex](x-3)=80[/tex]  -------> by corresponding angles, because the given lines are parallel

Solve for x

[tex](x-3)=80[/tex]

[tex]x=80+3[/tex]

[tex]x=83[/tex]

Find the value of y

we know that

[tex]x-3+42+(y-2)= 180[/tex]

substitute the value of x and solve for y

[tex]83-3+42+(y-2)= 180[/tex]

[tex]80+42-2+y=180[/tex]

[tex]120+y=180[/tex]

[tex]y=180-120[/tex]

[tex]y=60[/tex]

Therefore, the answer is [B] x = 83, y = 60

[RevyBreeze]

First, convert these two mixed fractions into improper fractions.

You can do that by following these steps:

Multiply the outside number by the number in the denominator

Add the product to the number in the numerator

5[tex]\frac{1}{4}[/tex] = [tex]\frac{21}{4}[/tex]

3[tex]\frac{7}{8}[/tex] = [tex]\frac{31}{8}[/tex]

Now, convert these fractions so that they share the same denominator. 4 and 8 share the same factor of 8. Multiply the numerator and denominator of [tex]\frac{21}{4}[/tex] by 2 so that the denominator becomes 8.

[tex]\frac{21}{4}[/tex] = [tex]\frac{42}{8}[/tex]

Now find how many inches of string each person has by using multiplication:

Sophie has [tex]\frac{42}{8}[/tex] × 5 = [tex]\frac{210}{8}[/tex] inches total

Cooper has [tex]\frac{31}{8}[/tex] × 4 = [tex]\frac{124}{8}[/tex] inches total

To find how much more inches Sophie has, subtract the two fraction from each other:

[tex]\frac{210}{8} - \frac{124}{8}[/tex] = [tex]\frac{86}{8}[/tex]

Simplify the fraction:

Sophie has 10[tex]\frac{6}{8}[/tex] or 10[tex]\frac{3}{4}[/tex] more inches than Cooper

There is $6,370. 78 money is in the account after 4 years.

Given

Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

The amount after 4 years is calculate by following formula;

[tex]\rm V(t)= P(1+\dfrac{r}{n})^{nt}[/tex]

Where t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years.

Substitute all the values in the formula;

[tex]\rm V(t)=6,000\times (1+\dfrac{0.015}{12})^{12\times 4}\\\\V(t)=6,370.78[/tex]

Hence, there is $6,370. 78 money is in the account after 4 years.

To know more about compound interest click the link given below.

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Answer:

it's b $6,370.78

Step-by-step explanation:

note that divoding a negative number and a positive number will give a negative number so.. -4.12

Answer:

1. y = 3x - 5

2. y = -4x + 2

3. y = -3x - 4

4. y = -3x - 6

Step-by-step explanation:

These questions are pretty easy. The only thing you have to do, to turn the equation into slope intercept form, is to solve for y in each equation

All the equations are in standard form, and we need to rewrite them in slope intercept form, so here are the steps

For the first equation: -3y + 9x = 15

We solve for y in the equation

-3y + 9x = 15

1. Subtract 9x from each side to isolate y

-3y + 9x - 9x = 15 - 9x

2. Simplify

-3y = 15 - 9x

3. Divide each term by -3 to get y by itself.

-3y/-3 = 15/-3 -9x/-3

4. Simplify

y = 3x - 5

For the second equation, we do the same proces, we just solve for y
−4x − y + 2 = 0

Step 1: Add 4x to both sides.

−4x − y + 2 + 4x = 0 + 4x

−y + 2 = 4x

Step 2: Subtract 2 to both sides.

−y + 2 − 2 = 4x − 2

−y = 4x − 2

Step 3: Divide both sides by -1

-y/-1 = 4x/-1 -2/-1

y = -4x + 2

For the third equation, we do the same thing too

2y + 6x = -8

Step 1: Subtract 6x to both sides.

6x + 2y − 6x = −8 − 6x

Switch -8 and -6x

2y = −6x − 8

Step 2: Divide both sides by 2.

2y/2 = -6x/2 -8/2

y = -3x - 4

And for the last equation, we do the same thing we did in the second equation

-6 - 3x - y = 0

Step 1: Add 3x to both sides.

−3x − y − 6 + 3x = 0 + 3x

−y − 6 = 3x

Step 2: Add 6 to both sides.

−y − 6 + 6 = 3x + 6

−y = 3x + 6

Step 3: Divide both sides by -1.

-y/-1 = 3x/-1 + 6/-1

y = -3x - 6

Answer:

[tex] slope = \frac{6 - ( - 2)}{x - ( - 3)} \\ \frac{ - 8}{5} = \frac{6 + 2}{x + 3} \\ - 8(x + 3) = 5(6 + 2) \\ - 8x - 24 = 5(8) \\ - 8x - 24 = 40 \\ - 8x = 40 + 24 \\ \frac{ - 8x}{ - 8} = \frac{64}{ - 8} \\ x = - 8[/tex]

Answer:

5x + 3y

Step-by-step explanation:

6x − x + 5y − 2y

(6x − x) + (5y − 2y)

5x + 3y

Hope that helps!

Answer:

[tex]5x+3y[/tex]

Step-by-step explanation:

Given the following question:

[tex]6x-x+5y-2y[/tex]

In order to find the answer, we combine like terms by adding/subtracting terms with similar variables.

[tex]6x-x+5y-2y[/tex]
[tex]6x-x=5x[/tex]
[tex]5y-2y=3y[/tex]
[tex]5x+3y[/tex]

Hope this helps.

Answer:

a) [tex]\sf x = 1.4[/tex]   b) [tex]\sf x = 1.3[/tex]

Let the missing numbers be x,

solving steps:

a)

[tex]\sf 2.8 * x = 3.92[/tex]

[tex]\sf x = \frac{3.92}{2.8}[/tex]

[tex]\sf x = 1.4[/tex]

b)

[tex]\sf x * 1.7= 2.21[/tex]

[tex]\sf x = \frac{2.21}{1.7}[/tex]

[tex]\sf x = 1.3[/tex]

Step-by-step explanation:

Mark me as brilliant plzzz

When x=4

1. Substitute the x into the equation.

y=3(4)+10

2. Solve for y

y=3(4)+10

y=12+10

y=22

When x=5

1. Substitute the x into the equation.

y=3(5)+10

2. Solve for y

y=3(5)+10

y=15+10

y=25

When x=6

1. Substitute the x into the equation.

y=3(6)+10

2. Solve for y

y=3(6)+10

y=18+10

y=28

Answer:

A.

Step-by-step explanation:

The way the arrow faces, show whether the sign is greater or lesser

Answer:

14 + 16 = 20

16/20

= 80/100

80 %

Step-by-step explanation:

Answer:

Find the percentage of PCs

Total is 14+16=30 computers

PCs are 16

so, 16/20×100%= 80%

Answer:

One solution

Step-by-step explanation:

So long as you don't have any term x² or to a power higher than 2, the equation will have 1 solution only.

Step-by-step explanation:

ab and dc are parallel lines and ad is a traversal

angle aef = angle edc (corresponding angles)

180-13x-57 = 5x-3

183-57 = 18x

126= 18x

x= 7

angle aef =180-13*7-57= 32

Answer: A

Step-by-step explanation:

There are 8 ticks until the whole number 1. It is on the 2nd tick. 2/8

Answer:

A. 2/8

Step-by-step explanation:

2/8 = 0.25

6/8 = 0.75

8/2 = 4

The only one that makes the most sense is 2/8 or 0.25

Look at the number lines in the pictures

Answer:

2.7×10−6

Step-by-step explanation:

I did this on a calculator I have no idea what the step by step is

Answer:

uh

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

{x,y}={-8,-5}

Step-by-step explanation:

/ Solve equation [2] for the variable  y

 [2]    y = 6x + 43

// Plug this in for variable  y  in equation [1]

  [1]    -x + 2•(6x+43) = -2

  [1]    11x = -88

// Solve equation [1] for the variable  x

  [1]    11x = - 88

  [1]    x = - 8

// By now we know this much :

   x = -8

   y = 6x+43

// Use the  x  value to solve for  y

   y = 6(-8)+43 = -5

Solution :

{x,y} = {-8,-5}

hope this helps!

Use the z-distribution, we have that:

1.

The null hypothesis is of [tex]H_0: p = 0.84[/tex].

The alternative hypothesis is of [tex]H_1: p > 0.84[/tex].

2. It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.

3. We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.

4. The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.

Item 1:

At the null hypothesis, we test if the proportion of teenagers that think highly of their mother is of 84%, hence:

[tex]H_0: p = 0.84[/tex]

At the alternative hypothesis, we test if this proportion is greater than 84%, that is:

[tex]H_1: p > 0.84[/tex]

Item 2:

It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.

Item 3:

135/150 = 0.9.

We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.

Item 4:

The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.

More can be learned about the use of the z-distribution for an hypothesis test at https://brainly.com/question/26454209

Answer:

[tex]\sqrt{13} = 3.605[/tex]

Answer:

x = 4 y = 3

Step-by-step explanation:

4 + 3 = 7

4 - 3 = 1

There is only one answer

The area is 114 yards

Step-by-step explanation:

(10x9) + (4x6)

Answer:

3600

Step-by-step explanation:

multiply them all i believe im wrong tho i dont know

The expression represents the total number of points Mona will earn if she catches x fish, y octopus, and z crabs is 30x + 80y - 15z.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given to us

30 points for fish

80 points for Octopus

-15 points for crab

As it is given in the problem that Mona catches x number of fishes, y number of octopuses, and z number of cabs. therefore,

Points earned through fishes [tex]=x \times 30 = 30 x[/tex]

Points earned through Octopus [tex]=y \times 80 = 80 y[/tex]

Points earned through crabs[tex]=z \times -15= -15 z[/tex]

Total points earned by Mona in the video game

= Points earned through fishes, octopus, and crabs

[tex]=30x + 80 y -15z[/tex]

Hence, the expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs is 30x + 80y - 15z.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

y < 2

Step-by-step explanation:

we can see that the area below y - 2, is shaded. as the line is dotted we shall use " < " sign. go two upwards from origin and that's why our value of y is 2.

The horizontal dotted line is located at y = 2 and the colored area is below that line, so the solution would be less than 2.

Answer: y < 2

The income elasticity of demand for food is 1.

The income elasticity of demand measures how quantity demanded changes when income changes.

income elasticity of demand = percentage change in quantity demanded / percentage change

When income elasticity of demand is one, it means that the good has a constant demand regardless of changes in income.

To learn more about elasticity of demand, please check: https://brainly.com/question/18850846