What is the solution to this system of equations graphed?

Write your answer as an ordered pair, for example (-4,5).

These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry.  While there are many ways to combine algebra and geometry, this way is awful.

Triangle angles add to 180 degrees. Geometry done.

Equation that models ...:

2x + 5 + 3x + 7 + 2x = 180

Solving,

7x + 12 = 180

7x = 168

x = 168/7 = 24

Answer: x=24

A=2x+5=2(24)+5= 53°

B = 3x+7 = 3(24) + 7 = 79°

C = 2x = 48°

Answer: A=53°, B=79°, C=48°

Answer:

SA = 7.08 in²

Step-by-step explanation:

We can use the following method to solve the given problem

SA = 2B + LA

Where LA

LA = 4.72* 0.05* 15= 3.54

And

C = 2πr

Where

C = 4.72in

π = 3.14

Substituting, we have

4.72 = 2*3.14*r

Making r the subject of formula

r = 0.75in

Solve for the area of CD

A = πr²

Substituting the values we have

A = 3.14 *(0.75)²

A= 1.77 in²

Solving for surface area of the stack

SA = 2(1.77) + 3.54

SA = 7.08 in²

Answer:

180 in.

Step-by-step explanation:

12 in = 1 ft

15 × 12 = 180

Answer:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] \sigma = 0.73[/tex] represent the population deviation

[tex] \bar X = 84.5[/tex] represent the sample mean

[tex] n =60[/tex] represent the sample size

And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Answer:

a²+b²=c²

Step-by-step explanation:

a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse

Answer:

[tex]A = 128\,cm^{2}[/tex]

Step-by-step explanation:

El área del rectángulo se halla a través de la siguiente fórmula: (The area of the rectangle is obtained by the following formula:)

[tex]A = (40\,cm - 2\cdot x)\cdot x[/tex]

Donde el área y [tex]x[/tex] se miden en centímetros cuadrados y centímetros, respectivamente. (Where area and [tex]x[/tex] are measured in square centimeters and centimeters, respectively)

Ahora, [tex]x[/tex] se reemplaza y se encuentra el valor numérico del área: (Now, [tex]x[/tex] is substituted and numerical value of area is finally determined:)

[tex]A = [40\,cm - 2\cdot (4\,cm)]\cdot (4\,cm)[/tex]

[tex]A = 128\,cm^{2}[/tex]

Answer: Reduction

(0,0)

1/3

Step-by-step explanation:

Answer:

1-reduction

2-(0,0)

3-1/3

Step-by-step explanation:

Answer:

16. 15°

17. 40°

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

2,578 = 6X

Step-by-step explanation:

Given:

Total weight of honey collected = 2,578 ounce

Each jar hold honey = 6 ounce

Find:

Expression to estimate number of  jars can fill :

Computation:

Assume ,

Total number of jars can fill = X

So,

Total weight of honey collected  = Total number of jars × Each jar hold honey

2,578 = 6 × X

2,578 = 6X

Answer:

length of the arc = 6.28 ft

Step-by-step explanation:

[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]

Answer:

ttt

htt

tht

tth

hht

thh

hth

hhh

these are the possible outcomes of the three outcomes

so probability of hhh = 1/8

The probability that the coin lands with the heads side up on all 3 flips will be 1/8.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:

P = (1/2) x (1/2) x (1/2)

P = 1/8

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

68cm

Step-by-step explanation: this is the right answer :)

Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

:)

Answer:

21 then 7

Step-by-step explanation:

Answer:

17 minutes    i had this same answer and question 2day, so ur lucky.

Step-by-step explanation:

The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 mins. Is that it? No. That would make this question too simple even as a warm up question.

To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let's put all this together.

1 and 2 go cross

2 comes back

7 and 10 go across

1 comes back

1 and 2 go across (done)

Total time = 2 + 2 + 10 + 1 + 2 = 17 mins

Answer:

17 minutes

Step-by-step explanation:

Let A be the person who takes 1 min,

B who takes 2 mins, C who takes 7 mins and D who takes 10 mins

A and B cross the river in 2 mins, A comes back in 1 min

C and D cross the river in 10 mins, B comes back in 2 mins

A and B cross the river in 2 mins

Total time:

2 + 1 + 10 + 2 + 2 = 17 minutes

Answer:

Step-by-step explanation:

7/12

no. of not prime number/ total no. of number

Answer:

Find attached missing part of the question:

The option gpe is best when the contracted volume is below 31250  units

The option fms is best when the contracted volume is between 31,250 and 230,000  units ​

The option DM is best when contracted volume is above 230,000 units

Step-by-step explanation:

let x represent the volume produced in each of the three options:

Total cost(TC) =fixed cost+(variable per unit*x)

for general purpose equipment:

TC=125,000+18x equation 1

for flexible manufacturing system

TC=250,000+14x equation 2

for dedicated machine

TC=480,000+13x equation 3

if we set equations 1 and 2 together

125,000+18x=250,000+14x

If we equate equations 2 and 3 together

250,000+14x=480,000+13x

14x-13x=480,000-250,000

x=230,000

18x-14x=250,000-125,000

4x=125,000

divide both sides y 4

x=125,000/4=31250

Answer:

100

Step-by-step explanation:

Because the 40 degree angle is an inscribed angle opposite of arc u, arc u's angle measure must be 40*2=80 degrees. Since t+u=180 degrees, t must be 100 degrees. Hope this helps!

Answer: B

Step-by-step explanation:

If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.

Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units

Answer:

The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.

Step-by-step explanation:

5/16 = 20/x

5x = 320

x = 64

30/80 = 3/8

10/80 = 1/8

25/80 = 5/16

15/80 = 3/16

3/8*2000 = 750

1/8*2000 = 250

5/16*2000 = 625

3/16*2000 = 325

Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

Answer: 5

Step-by-step explanation:

3+2=5

Answer:

Volume V = 0.027a^3

Step-by-step explanation:

Let a represent the length of the side length of the cube.

a.The side lengths are decreased to 30% of their original size;

l = 30% of a

l = 0.3a .....1

The volume of a cube can be expressed as;

V = l × l × l

V = l^3 .......2

Where;

l = side length

Substituting the value of l into equation 2;

V = l^3 = (0.3a)^3

V = 0.027a^3

Volume V = 0.027a^3

[tex]4-12x+9x^{2} \\4-6x-6x+9x^{2} \\2(2-3x)-3x(2-3x)\\(2-3x)(2-3x)\\(2-3x)^2[/tex]

Answer:

151 degrees

Step-by-step explanation:180 - 29=151

A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.

Formula for the volume of a cylinder: V = pi x r^2 x h

V = pi x 6^2 x 10

V = pi x 36 x 10

V = 360pi inches^3

Hope this helps! :)

Answer:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.

Step-by-step explanation:

Any prism has two bases.  Since we are talking about a rectangular prism and a triangular prism both must have two bases.

For example, a square prism has two bases and they are both square.

In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.

Note: For the figure to have only one base it must be called a pyramid.

Thus, the answer is:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles

Answer:

a

Step-by-step explanation:

Answer:

82.75 = 3.25r + 7.75

Step-by-step explanation:

$82.75 is the total money spent last month

$7.75 is the cost of a refillable mug

$3.25 is the cost for every refill