Juan bought 5 cupcakes and 3 bearclaws for 45$. Lily bought 4 of the same cupcakes and 6 of the same bearclaws for 72$. What is the price of each item?

Step-by-step explanation:

We know that

[tex]\boxed{\sf a^m\times a^n=a^m+n}[/tex]

[tex] \sf \: {8}^{5} \times {8}^{6} \\ \sf \leadsto \: {8}^{5 + 6} \\ \sf \leadsto {8}^{11} [/tex]

[tex]\sf More\;to\: know{\begin{cases}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{cases}}[/tex]

Answer:

Step-by-step explanation:

c circle

Answer:

the first truck

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

Answer:

C. For every 1 second, a fighter jet travels 19 miles.

Step-by-step explanation:

Answer:

Step-by-step explanation:

- Since y = -1, we will substitute the y variable in the equation for -1.

 -1 = -5/2x + 4

- Take away 4 from both sides in order to find out what x equals so we can substitute it.

 5 = -5/2x

- turn it into a positive by multiplying each side by -1.

 -1(-5 = -5/2x) =

 5 = 5/2x

- Divide each side by 5.

 1 = 1/2x

- Multiple both sides by 2.

2 = x

- Substitute the variables.

x = 2

y = -1

-1 = -5/2(2) + 4

Answer:

here you go! :))

n= 2

m=3

a= 10

q= 50

Answer: 9,600

Step-by-step explanation:

I could possibly did wrong but I shall explain this none the less. I first knew that 10% of 16,000 was 1,600. So then I just timed that by four getting 6,400. I then did 16,000-6,400 getting $9,600. Sorry if I’m wrong

Answer:

$9600

Step-by-step explanation:

10% of 16,000 = 1600

1600*4= 6400

16,000-6,400

= 9600

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

Answer:

10÷20= 0.5

10×20=200

10+20=30

Answer:

B. X+8=3x+6

Step-by-step explanation:

You substitute the y value of one equation with the y value of the 2nd equation.

Answer:

Step-by-step explanation:

Answer:

m = 13.86  c = 16

Step-by-step explanation:

Use the 30-60-90 triangle laws.

Given:

The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

[tex]V=(side)^3[/tex]

[tex]V=a^3[/tex]

It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex]  cubic meter.

[tex]a^3=\dfrac{1}{8}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{1}{2}[/tex]

Now, the perimeter of each face of a cube is:

[tex]P=4a[/tex]

Where, a is the side length of the cube.

Putting [tex]a=\dfrac{1}{2}[/tex], we get

[tex]P=4\times \dfrac{1}{2}[/tex]

[tex]P=2[/tex]

Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

Answer: It's 2 meters

We will see that the axis of symmetry is x = 3, so the correct option is c.

The axis of symmetry is a line of the form x = a, such that it divides the parabola in two halves.

Particularly, the axis of symmetry passes through the vertex, so the x-value of the vertex is equal to the value of the axis.

Then we only need to find the x-value of the vertex, remember that for a quadratic:

[tex]y = a*x^2 + b*x + c[/tex]

The vertex is at:

[tex]x = -b/2a[/tex]

Then in our case, the vertex is at:

[tex]x = -12/(2*-2) = -12/-4 = 3[/tex]

So the axis of symmetry is x = 3, then the correct option is C.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ2

Answer:

I guess it is a rectangle

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

I'm pretty sure 1 is verticle and 2 is complimentary

Step-by-step explanation:

Answer:

Step-by-step explanation:

Top/Bottom = 12

Sides = 15

Front/Back = 20

20 + 15 + 12 = 47

47 / 1/2 = 23.5

Answer:

One investor should make ABOUT $28714.29 while the other will make about $38285.71

Step-by-step explanation:

67000 x 3/7 =28714.285...

67000 x 4/7 = 38285.714....

Answer:

addition of areas

Step-by-step explanation:

Answer:

6x-4

Step-by-step explanation:

c-the missing length

(2x+5)+(4x-2)+c = 12x-1

2x+5+4x-2+c=12x-1

6x+3+c=12x-1

6x+4+c=12x =>4+c=12x-6x =>4+c=6x => c=6x-4

What is the missing length? 6x-4

Answer:

2x + 3x + 5x = 180

10x = 180

x = 18

2x = 36, 3x = 54, 5x = 90

They add up to 180 (definition of sum of angles of a triangle.)

Step-by-step explanation:

#g o o g l e

Answer:

8√2

Step-by-step explanation:

Answer:

It is either a or b. since 8-2 does not equal 14, and 8+2 does not equal 14. I think it is most likely to be a though.

Step-by-step explanation: