Solve algebraically the simultaneous equations
x^2 – 4y^2 = 5
3x + 4y = 13
Please correctly pair your answers and write them on separate lines.

Answer: 1/6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Corresponding angles are the same angles for both sides.

Example: if a= 12, then b also = 12.

Im positive it's alternate interior because they are both inside on alternative sides

Answer:

423

Step-by-step explanation:

Firstly we need to find the circumference of the circle.

Circumference = 2 × Radius with Pi

=2×8×3.14= 50.24

Now we must find the area of 1 label.

Area of 1 label= 3.14 × 9= 28.26cm²

Multiplying by the number of labels =

28.26 × 15

= 423.9 cm²

So, we'll just keep the answer 423 because we were asked how many square inches of paper will be needed.

Given:

The expression is

[tex]13ab+15ab[/tex]

To find:

The equivalent expressions in factored form.

Solution:

We have,

[tex]13ab+15ab[/tex]

In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.

Distributive property of multiplication over addition:

[tex]a(b+c)=ab+ac[/tex]

By using greatest common factor and the distributive property, we get

[tex]13ab+15ab=ab(13+15)[/tex]

[tex]13ab+15ab=ab(28)[/tex]

[tex]13ab+15ab=28ab[/tex]

Therefore, the required equivalent expression is [tex]28ab[/tex].

Answer:

#5- 7.8 hours  #6- $5.25

Step-by-step explanation

Question #5- 7.8 hours      

First we have to find the speed. If the speed was constant we should be able to divide the miles by the time to find the speed. So 239.82 divided by 4.2. This would leave us with a speed of 57.1 mph. So to finish the question, we have to take  what we know and divided it by the speed. If he drives 445.38 miles at the same speed of 57.1 mph it would take him 7.8 hours. I got this answer by dividing the miles by the speed. 445.38 divided by 57.1. Which got us our time, 7.8 hours.

Question #6- $5.25

Okay so we know that the chips cost .75 cents a bag, and he got two bags. So if we take .75 and multiply it by two we get 1.50. So the chips alone cost $1.50. We can take the price of the chips and subtract it from the total price. 22.50-1.50. 21. Now we have just the prices of the sandwiches. If we take the total price of the sandwiches and divide it by the number of sandwiches bought, we get $5.25. So each sandwich cost $5.25 each.

Answer:

20 is the anwser for this problem

The number of medium bags will be 410 / 3.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that Jill puts 440 sweets into small bags, medium bags and large bags. She uses 30 small bags

The equation can be written as,

L + M + S = 440

L = 2M

2M + M + 30 = 440

3M = 410

M = 410 / 3

Therefore, the number of medium bags will be 410 / 3.

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i think 2 bags or 1 bags hope it helps

The area of the farmer's land is 54 square yards and number of bags needed is 2. The correct option is (B).

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

For the given diagram, the following data is given as,

Base of the upper and lower triangle is 6.5 + 2.5 = 9 yards.

And, the height is given as 6 yards.

Now, the area of the land can be given as,

Area of upper triangle + Area of lower triangle

⇒ 1/2 × 9 × 6 +  1/2 × 9 × 6

⇒ 54 square yards.

As per the question, the area of the land is more than the soil contained in 1 bag.

Which implies the number of bags required is given as 2.

Hence, the area of land and number of bags required is obtained as  54 square yards and 2 respectively.

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Answer:

that person is correct, each donut is only .25 cents because every 4 donuts are $1, multiply 4 by 3 and you get 12, 12=dozen. Since the total price is $3 it makes sense that each donut in .25 cents and every 4 donuts $1

HOPE THIS HELPS AND HOPE THIS MAKES SENSE!!!!!!!

If a dozen donuts cost $2.99 then the cost of one donut is approximately $0.25.

A division is a process of splitting a specific amount into equal parts.

Given that a dozen donuts cost $2.99.

We have to find the cost of 1 donut

As there are 12 donuts in a dozen, so to find the cost of one donut.

1 dozen donuts = 12 donuts.

One dozen donuts equal to twelve donuts.

To find the cost of 1 donut we need to divide the cost of a dozen by 12, because we are splitting the cost two point nine nine among twelve donuts.

$2.99 ÷ 12

Two point nine nine is divided with twelve we get zero point two five.

= $0.25

Therefore, the cost of one donut is approximately $0.25 to the nearest cent.

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Answer:

{(-6,-6), (-2,-2), (7,-6), (-5,0)}

Step-by-step explanation:

Function: Every domain (x-value) has only one range (y-value)

The other choices had an x-value that had more than one y-value, which makes only this one a function.

Hope this helped :)

The modal average number of bedrooms is 3, while the mean number of bedrooms is 2.825.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

A.) The modal average number is a mode of a given data set. Now, if the mode of the given data is needed to be taken then we need to observe the row that has the highest frequency.

Therefore, the modal average number of bedrooms is 3.

B.) The mean number of bedrooms can be found as shown below.

Mean number of bedrooms = (1×5 + 2×10 + 3×15 + 4×7 + 5×3)/40

                                               = (5 + 20 + 45 + 28 + 15)/40

                                               = 113/40

                                               = 2.825

Hence, the modal average number of bedrooms is 3, while the mean number of bedrooms is 2.825.

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Answer:

Un triángulo tiene tres lados, tres vértices y tres ángulos. La suma de los tres ángulos interiores de un triángulo es siempre 180 °. La suma de la longitud de dos lados de un triángulo es siempre mayor que la longitud del tercer lado.

Answer:

Step-by-step explanation:

hello :

the ratios 2:1 and 18:9 are  equivalent because :

2/1 = (2×9)/(1×9)= 18/9

Yes , the ratios 2 : 1 and 18 : 9 are equivalent

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the first proportion be A = 2 : 1

Let the second proportion be B = 18 : 9

Now , from the proportion formula

a: b::c : d = a/b = c/d

So , substituting the values in the equation , we get

2 : 1 :: 18 : 9

On simplifying the equation , we get

2 / 1 = 18 / 9

Now , the proportion is

2 = 2

Therefore , the equation satisfies and the ratios are equal

Hence , the ratios 2 : 1 and 18 : 9 are equivalent

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Answer:

1.  A number decreased by seven.

2. A number increased by nine.

3. The product of six and a number, divided by eight.

4. The product of three and a number increased by five is equal to twenty.

5. The product of two and a number increased by eight is equal to twenty-three.

Step-by-step explanation:

1.   x-7

A number decreased by seven.

2. y+9

A number increased by nine.

3. 6m/8

The product of six and a number, divided by eight.

4. 3y+5 =20

The product of three and a number increased by five is equal to twenty.

5. 2(x+8)= 23

The product of two and a number increased by eight is equal to twenty-three.

The translation of each given algebraic expression to a verbal phrase has been provided.

1) We have; x - 7

This means that; a number x decreases by 7.

2) y + 9; This means that; a number y increases by 9.

3) 6m/8; This can be expressed as;

The product of six times a number m is divided by 8.

4) 3y + 5 = 20; This can be expressed as;

The sum of five and three times a number x is equal to 20.

5) 2(x + 8) = 23;

The product of 2 and the addition of a number x and 8 is equal to 23

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Answer:

40824

Step-by-step explanation:

hi im here

Answer:

h=3

Step-by-step explanation:

(12-6)/(h--5)=3/4 ~ basic slope equation

6/(h+5)=3/4 ~ simplification

24=3(h+5) ~ multiply both sides by (h+5) and 4 to clear the fractions

24=3h+15 ~ distribute the 3

9=3h ~ subtract 15

h=3 ~ divide by 3

Answer:

Step-by-step explanation:

slope = -3

slope = (h-6)/(8-6) = (h-6)/2 = -3

h-6 = -6

h = 0

Answer:

NT and MT

Step-by-step explanation:

Sorry I'm late lol.

The two segments form a right angle where they intersect, which is a common indication of perpendicular lines.

Answer:

A=4

Step-by-step explanation:

Have a nice day hope this helps

Answer:

A = 42 - 80 B = 40 - 112

Step-by-step explanation:

I can answer Both A & B for you however C & D aren't very clear.

A:

Perimeter = 42cm

Area = 80cm Cubed

B:

Perimeter = 40cm

Area = 112cm Cubed

Calculations

In Question A, you are given all the measurements for the perimeter except, which is the line at the bottom. If we take what we already have been given.

10 + 8 + 4 + 4 + 3

We have 3 sides currently without a measurement, The Right side of the shape is 8, therefore the left must be the same, so that measurement is 8.

The small line creating the indent inside the shape must be 2, as we know the line at the top = 10cm. The line opposite it is must be 3 as the one opposite is 3cm.

Factoring those into our calculation:

10 + 8 + 8 + 4 + 4 + 3 + 3 + 2 = 42cm (Perimeter)

To find the Area you multiply the Height of the shape by the width.

Height = 8

Width = 10

8 x 10 = [tex]80cm^{2}[/tex] (Area)

In Question B, you are given all the measurements for the perimeter, so you would simply add them up again.

14 + 10 + 8 + 2 + 6 = 40cm (Perimeter)

To Calculate the Area as previously said you would multiply the width by height.

Height = 8cm

Width = 14

14 x 8 = [tex]112cm^{2}[/tex] (Area)

Hope this helps :)

Answer:

69

Step-by-step explanation:

Answer:

-22 + -200 < 19

-222 < 19

True Yes

cuz negative is lesser than positive

Step-by-step explanation:

Answer:

46,000

Step-by-step explanation:

do the 16.4e part first, substitute x for 30 then add 1 = 4.66ish

214/4.66 rounded is about 46 so probably 46,000

Answer:

x = 33/8

Step-by-step explanation:

2/3 x + 1/4 = 3

Subtract 1/4 from both sides.

2/3 x = 3 - 1/4

2/3 x = 12/4 - 1/4

2/3 x = 11/4

Multiply both sides by 3/2.

3/2 * 2/3 x = 3/2 * 11/4

x = 33/8

Answer:

I think it's B because the bigger numbers stay the same an u subtract the smaller numbers

The white area of the square is equal to 55.04cm²

To calculate the white area of the square we must perform the following operations.

To calculate the total area of the square, we multiply the side length by the base.

Then we must calculate the area of the pink circles, for this we use the following formula:

Then we proceed to replace the values of the number pi and the radius:

Now we multiply the area of the circle by four to find the total area occupied by the four circles inside the square.

50.24cm² × 4 = 200.96cm²

Finally we subtract the area of the 4 circles from the total area of the square and the result will be equivalent to the white area of the square.

256cm² - 200.94cm² = 55.04cm²

Note: This question is incomplete because the image is missing. Here is the image.

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Answer:

[tex] {3x}^{2} + 6x[/tex]

have a nice day

take care of yourself

Answer:

18.84

Step-by-step explanation:

Since the radius is 3 mili then we have to multiply 3 by 2 to get the diameter. Then multiple the diameter and pie 6×3.14 is 18.84.