14)
a + b = 10
a-b=2
Solve the system of equations.
A)
a = 5. b = 5
B)
a = 2, b = 8
a = 6, b = 4
D
a = 3,6 = 7

Answer:

Step-by-step explanation:

2 is the slo[pe:)

Answer:

x = 2

Step-by-step explanation:

Inverse variation between x and y can be represented as:

xy = k

Where k is the constant of proportionality.

If x = 1 when y = 11, the constant of proportionality, k, would be:

1*11 = k

k = 11

To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k

Thus:

x*5.5 = 11

Divide both sides by 5.5

x = 11/5.5

x = 2

"The sum of two numbers is 20" can be translated mathematically into the equation:

x + y = 20.

"... and their difference is 10" can be translated mathematically as:

x - y = 10

We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:

Adding the two equations will eliminate the variable y:

x + y = 20

x - y = 10

-----------

2x + 0 = 30

2x = 30

(2x)/2 = 30/2

(2/2)x = 15

(1)x = 15

x = 15

Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):

x + y = 20

15 + y = 20

15 - 15 + y = 20 - 15

0 + y = 5

y = 5

CHECK:

In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:

x + y = 20 x - y = 10

15 + 5 = 20 15 - 5 = 10

20 = 20 10 = 10

Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:

xy = 15(5)

xy = 75

Answer:

The test statistic for Norah's test is [tex]t = -2[/tex]

Step-by-step explanation:

Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.

This means that at the null hypothesis we test if the sample mean is 500 ml, that is:

[tex]H_0: \mu = 500[/tex]

At the alternate hypothesis, we test if it is differente than 500 ml, that is:

[tex]H_a: \mu \neq 500[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

500 is tested at the null hypothesis:

This means that [tex]\mu = 500[/tex]

She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.

This means that [tex]n = 16, X = 497, s = 6[/tex]

Calculate the test statistic for Norah's test.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{497 - 500}{\frac{6}{\sqrt{16}}}[/tex]

[tex]t = -2[/tex]

The test statistic for Norah's test is [tex]t = -2[/tex]

Answer: -2

Step-by-step explanation: Khan

Answer:

[tex]h=5.11ft[/tex]

Step-by-step explanation:

[tex]S=12+6+14/2=16[/tex]

[tex]area ~A= \sqrt{s(s-14)(5-12)(5-6)}[/tex]

[tex]area=\sqrt{16(16-14)(16-12)(16-6)}[/tex]

[tex]A=\sqrt{16×2×4×10}[/tex]

[tex]A=35.70[/tex]

[tex]A=1/2× base~×height[/tex]

[tex]35.70=1/2×14×h[/tex]

[tex]h=2×35.75/14[/tex]

[tex]h=5.11ft[/tex]

｡･:*:･ﾟ★,｡･:*:･ﾟ☆

hope it helps...

have a great day!!

Answer:

49.2%

Step-by-step explanation:

Answer:

t=0.15n

Step-by-step explanation:

I had it on a test and it was correct

3.75=0.15(25)

and when you times 0.15*25 it equals 3.75

Answer:

4 children

Step-by-step explanation:

Let the number of children = c.

The cost of the pizza place for c children (without the fee) = 8c

The cost of the pizza place for c children (with the fee) = 8c+30

The cost of the taco place for c children (without the fee) = 12c

The cost of the taco place for c children (with the fee) = 12c+14

To find c when the totals are equal, set 8c+30 equal to 12c+14 and solve:

8c+30=12c+14

8c-12c=14-30

-4c=-16

c=4

Answer:

so it is 20 c because like why not

Answer:

A)3.125hr

B)53.325mi

Step-by-step explanation:

speed=distance/time

an hour and 15min=1.25hr

32/1.25=25.6mi/hr

80/25.6=3.125hr

B)

2hr and 5min=2+5/60=2.083hr

2.083x25.6=53.325mile

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

The first parallel side = 1 ft + 4 ft = 5 ft

The second parallel side = 4 ft

If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

[tex]A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2[/tex]

Therefore, the area of the trapezium is 18 ft²

Answer:

I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)

Step-by-step explanation:

Answer:

− 0.85 y + 10.26

Step-by-step explanation:

The multiplication of the expression (5.23y + 3.8) and (2.7 - 1.6y) will be 8.041y + 10.26 - 8.368y²

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (5.23y + 3.8) · (2.7 - 1.6y)

Simplify the expression, then we have

⇒ (5.23y + 3.8) · (2.7 - 1.6y)

⇒ 14.121y + 10.26 - 8.368y² - 6.08y

⇒ 8.041y + 10.26 - 8.368y²

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Answer:

1/4, or 0.25 inches

Step-by-step explanation:

You count the dots. The number of dots tell you how many of each length of string she used.

You first find the column with the most dots, and then you find the column with the least. Then you just subtract them, the number of inches it displays on the bottom, 12 1/2 - 12 1/4, which is 1/4. I did this in my head and you can use a calculator if you want.

Thanks for the points, and have a blessed day. Hope this helps.

Answer:

Im pretty sure you acc was deleted so whatever dude the length was 69 inches and 420 millimeters

Answer:

20 in place value of 2

hope it helped

Answer:

$6.24

Step-by-step explanation:

equation: $41.63 - 4.19 = 37.44

solve: 37.44 ÷ 6 = 6.24.

hope this helped!

Answer:

He pays a TOTAL of $41.63. Meaning everything is equal to that value

He pays 4.19$ for Milk

He buys 6bags of Oranges and each of these cist the same amount.. let's say x.

So 6 bags would cost 6x

So Total is

6x + 4.19 =41.63

6x= 41.63-4.19

6x=37.44

x=37.44/6

x=$6.24

To check this

6x + 4.19 should equal 41.63$

6(6.24) + 4.19= $41.63

Answer:

A. 45°

Step-by-step explanation:

I calculated it logically

Answer:

Speed= 0.6666667 miles per hour

Step-by-step explanation:

You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Answer:

[tex]x < - 7[/tex]

the answer is option C

Answer:

16.99

Step-by-step explanation:

Because I used trigonometry

Answer:

x=2^-y

A

Step-by-step explanation:

x | y

1 | 0

2 | -1

4 | -2

Answer:

The surface area of the ball is of 29 square inches.

The volume of the ball is of 15 cubic inches.

Step-by-step explanation:

The ball has an spherical format:

Circumference of a sphere:

The circumference of a sphere is 6.2832 times the radius.

Surface area

[tex]A = 4\pi r[/tex]

In which r is the radius.

Volume:

[tex]V = \frac{4\pi r^3}{3}[/tex]

The circumference of the ball is 9.4 inches.

So the radius is:

[tex]6.2832r = 9.4[/tex]

[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]

Surface area

[tex]A = 4\pi(1.53)^2 = 29.3[/tex]

Rounding to the nearest unit, the surface area of the ball is of 29 square inches.

Volume:

[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]

Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.

Answer:

36 meters

Step-by-step explanation:

A square has equal side lengths, and a total of 4 sides, so

9 times 4 is equal to 36.

Remember your units!

Answer:

3 pages of instruction for every practice problem

Step-by-step explanation:

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

Answer:

Step-

In mathematics, a linear equation is an equation that may be put in the form a₁x₁+⋯+aₙxₙ+b=0, where x₁,…,xₙ are the variables (or unknowns), and b,a₁,…,aₙ are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a₁,…,aₙ are required to not all be zeroby-step explanation:

Check the equation for varying terms and constant terms. Usually, equations won't come with varying terms and constant terms lined up on separate sides.

In order to do this, you may have to subtract or add the numbers you want to move from both sides. ...

Move the varying terms to one side of the equation

Answer:

120lbs

Step-by-step explanation:

360lbs÷3 =120lbs

Answer:

0.375

Step-by-step explanation:

510 male out of a total of 1360

510/1360 = 0.375