solve the system substitution y= 4x + 1 and 3x+2y =13

Answer:

A. 20 ft

Step-by-step explanation:

The volume of a right solid such as a rectangular shipping crate is found by multiplying the area of its base by its height. The area of this shipping crate is its length multiplied by its width = 2.5 x 2 = 5 feet. Now, we multiply the area of the base (5) by the height (4) to get 20 feet.

Answer:

adult tickets: 180

child tickets: 160

Step-by-step explanation:

adult tickets =x

child tickets =y

1. create a function

x+y=340

16x + 12y = 4800

2. solve

3. x = 180, y = 160 which also means 180 adult tickets were sold and 160 child tickets were sold

Answer:

Two lines are perpendicular if the product of their slopes equals -1.

In general form, this means that you reverse the coefficients of x and y and negate one of the two.

So the general form of this perpendicular line becomes: 12x + 3y + C = 0, or simplified: 4x + y + C’ = 0.

Now fill in the desired point to find C’: 4*(-2)+5+C’=0 so C’= 3.

The general form of the line becomes 4x + y + 3 = 0

Answer: 15x - 1500 > 0,    101 batches

Step-by-step explanation:

To begin, lets start by modeling this with a linear equation, (for sake of simplicity).

we can model this in the form y = mx + b, where y is 0, (meaning she isn't making profit OR losing money either).

Next, lets set up the parameters:

0 = mx + b. We can safely say that b, our constant, is -1500, because this is the money she "loses" every month.

Now we have 0 = mx -1500. We know she sells each batch for $20, so we also know that she makes 20x dollars for x batches. Our m = 20.

Now we have 0 = 20x - 1500. However, this equation is not completely correct, as we arent subtracting the cost for making each batch of cupcakes. The problem says that it costs her $5 to make each batch. So it will cost her 5x dollars for making x batches. If we subtract this from how much she sells each batch for, we get the profit she makes from selling each batch. So she makes a profit of (20x - 5x) = 15x dollars for x batches of cupcakes.

Out completed equation is 15x - 1500 = 0.

Solving this equation for x will give us how many batches she needs to sell to break even. To model this as an inequality for profit we simply replace the "=" sign with a ">" sign.

So our completed inequality is 15x - 1500 > 0

Solving this for x:

15x - 1500 > 0

15x > 1500

x > 100

Amanda needs to make more than 100 batches per month to make a profit. The greatest number of whole number batches over 100 is 101; so she needs to sell atleast 101 batches to make a profit every month.

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 98% confidence interval for the true mean age of Summer Olympians since the 1980 Olympics is (20.6, 24.8). It means that we are 98% sure that the true age of all Olympians is between these two values.

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

In this problem, with the help of a t-distribution calculator, with a two-tailed significance level of 0.02 and 24 - 1 = 23 degrees of freedom, the parameters are:

[tex]\overline{x} = 22.7, s = 4.15, n = 24, t = 2.5[/tex]

Then, the interval is:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 22.7 - 2.5\frac{4.15}{\sqrt{24}} = 20.6[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 22.7 + 2.5\frac{4.15}{\sqrt{24}} = 24.8[/tex]

The 98% confidence interval for the true mean age of Summer Olympians since the 1980 Olympics is (20.6, 24.8). It means that we are 98% sure that the true age of all Olympians is between these two values.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

Mid-point: [tex](0,-5)[/tex]

Equation: [tex]y=\frac{7}{3}x-5[/tex]

Step-by-step explanation:

To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.

[tex](\frac{{x__A}+{x__B}}{2},\frac{{y__A}+{y__B}}{2})[/tex]

[tex](\frac{{-7}+{7}}{2},\frac{{-2}+{(-8)}}{2})[/tex]

[tex](0,-5)[/tex]

To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.

Slope of AB: [tex]\frac{{y__2}-{y__1}}{{x__2}-{x__1}}[/tex] = [tex]\frac{{-8}-{-2)}}{{7}-{(-7)}}[/tex] = [tex]\frac{-6}{14}[/tex] = [tex]\frac{-3}{7}[/tex]

Multiplying slopes that are perpendicular with each other always results in -1.

[tex]\frac{-3}{7}*m = -1[/tex]

[tex]m=\frac{7}{3}[/tex]

By the point slope form:

[tex]({y}-{y__1})=m({x}-{x__1})[/tex]

Plug in the coordinates of the mid-point:

[tex]({y}-{(-5)})=\frac{7}{3} ({x}-{0})[/tex]

Equation: [tex]y=\frac{7}{3}x-5[/tex]

Answer: yourself

Step-by-step explanation:

because there is nothing more important than you

Answer:

4

Step-by-step explanation:

Since it costs $3.75 for every earring, multiply e by 3.75 like this: 3.75e

Add 9.5 on top of that since Dani already bought the necklace for $9.50

3.75e + 9.5

This sum has to be less than or equal to 25 because the budget is $25

3.75e + 9.5 ≤ 25

To find e subtract 9.5 from both sides

3.75e + 9.5 ≤ 25

          - 9.5    - 9.5

3.75e ≤ 15.5

Divide both sides by 3.75

3.75e/3.75 = 15.5/3.75 = 4.133...

You can't buy 0.133 of an earring, so the max amount of earrings she can buy is 4.

Answer:

67

Step-by-step explanation:

Total shirts = 53

Have to get = 100

Remaining shirts:

= 100 - 53

= 67

Answer:

  54 cm²

Step-by-step explanation:

The net of the 3 cm cube has 6 squares, each of which is 3 cm on a side. The area of each is (3 cm)² = 9 cm², so the total area is ...

  6×9 cm² = 54 cm²

Answer:

D. not here

Step-by-step explanation:

because It's equal to 120cm

Answer: x=-1, x=4

Step-by-step explanation:

Answer:

[tex]\sf y = 3.17[/tex]

explanation:

apply rule:  a * a * a = a³

changing sides, changes cubic to cubic root

simplify

In decimals

In two decimal places

Solution:

Note that:

Taking a cube root both sides.

Writing the prime factors of 32.

Simplifying ∛32

Answer:

Angle 5 = 51 degrees

Angle 6 = 129 degrees

Step-by-step explanation:

When dealing with parallel lines like this, the picture attached shows all the angles that are equal to each other. Angle 6 and (3x-15) will sum to 180 degrees. Angle 5 is equal to 3x-15. (3x-15) will be equal to (2x+7)

The first step to solving this problem after the angle relationships are determined is to solve for x:

3x-15=2x+7

3x-2x=7+15

x=22

The second step is to determine angle 5:

angle 5 = 3x-15

angle 5 = 3(22)-15

angle 5 = 66-15

angle 5 = 51 degrees

The third step is to determine angle 6:

angle 6 = 180 - (3x-15)

angle 6 = 180 - 3x + 15

angle 6 = 195 - 3x

angle 6 = 195 - 3(22)

angle 6 = 195 - 66

angle 6 = 129 degrees

The final step is to check the angles. Angle 6 and 3x-15 should add to 180; 180 - angle 5 should be equal to angle 6.

129 + 3x - 15 =? 180

129 + 3(22) - 15 =? 180

129 + 66 - 15 =? 180

180 = 180

180 - 51 =? 129

180 - 51 =? 129

180 - 51 =? 129

129 = 129

Answer:

its b bc im smart

Step-by-step explanation:

Answer:

The actual correct answer to this is A

Step-by-step explanation:

Direction: Opens Up

Vertex:

(1,−2)

Focus:

(1,−7/4)

Axis of Symmetry:

x=1

Directrix:

y=−9/4

Hope this helps mark brainliest please :)

Answer: about 12 years

Step-by-step explanation: If your grandmother gave you her wedding ring, which was appraised at $1,200 and it had an annual inflation rate of 6 percent; it would take about 12 years for the ring's worth to become $2,400.

Answer:

about 11-12 years before it was worth $2400

Answer:

[tex]4.8038[/tex] or just [tex]4[/tex] quarts.

Hope this helps!

Answer:

GCF is the Greatest Common Factor

I this Process you need to find HCF (Highest Common Factor) and Write the Common Number which is Greater among all.

Answer:

The answer is one yard

Step-by-step explanation:

A city planner has plans to build two small parks, shown in the diagram below. Park is a triangle, and the park is a rectangle. Each unit on the coordinate grid represents a yard.

Answer:

show the picture an i will find it out

Step-by-step explanation:

The estimated annual water cost for the Perricone family= $1,132,305

The family meter reading for last month = 3,970 Tgal

The family meter reading for next month= 3,973 Tgal

The rate charged by the supplier = $23.75 per Tgal.

There is increase in the meter reading per month by 3Tgal.

To calculate for the monthly cost = 23.75 × 3,970

= $94287.5

Therefore annually= $94287.5 × 12 = $1,131,450

The cost for each monthly increase = 23.75 × 3= $71.25

Therefore annual monthly increase= 71.25× 12= $855

Therefore, the estimated annual water cost for the Perricone family= $1,131,450 + $855

= $1,132,305

Learn more about meter reading here:

https://brainly.com/question/25092270

Ok if I directly write the equation it will become difficult to understand , so I am dividing into small parts. :)

[tex] \\ \\ [/tex]

Let :-

number be x.

[tex] \\ [/tex]

Statement :-

21 is subtracted from the square of a number.

x² ← square of number

Equation :-

x² - 21

[tex] \\ \\ [/tex]

Statement :- the result is 4 times the number.

4 times a number means 4 × x = 4x.

Equation :-

x² - 21 = 4x

[tex] \\ \\ [/tex]

So we got our equation i.e x² - 21 = 4x , now we can finally find negetive value of x.

→x² - 21 = 4x

→x² -21 - 4x = 0

→x² - 4x - 21 = 0

→x² + 3x - 7x - 21 = 0

→x(x + 3) - 7x - 21 = 0

→x(x+3) - 7(x + 3) = 0

→(x - 7) (x + 3) = 0

Comparing:-

[tex] \\ [/tex]

Required answer :-

[tex]\boxed{\pmb{\sf -3}}[/tex]

Answer: C

Step-by-step explanation:

Answer:

[tex]FIRST\ BLANK:\ 22[/tex]

[tex]SECOND\ BLANK:\ 20[/tex]

[tex]THIRD\ BLANK:\ 18[/tex]

I hope this helps you

:)

Answer:

1. 22

2. 20

3. 18

Step-by-step explanation:

1. 2(13-p) = 2(13-2) = 26-4 = 22

2. 2(13-p) = 2(13-3) = 26-6 = 20

3. 2(13-p) = 2(13-4) = 26-8 = 18

Answer:

The area of the parallelogram below is 48 square meters.

Explanation:

[tex]\sf area \ of \ parallelogram = base * height[/tex]

Given:

using the formula:

→ base * height

→ 6 * 8

→ 48 m²

Answer:

sale price: $900

Explanation:

original price will be always of 100%

sale price: 100% - 25% = 75%

so solve:

100% ↔ $1200

1% ↔ $1200/100

1% ↔ $12

75% ↔ (12 * 75) = $900

Answer:

click the image

Step-by-step explanation:

hope it's helpful