Terrance makes $12.50 per hour doing landscaping and earned $275 this
week. How many hours did he work?

Answer:

  maybe

Step-by-step explanation:

To use ASA, you need to show the side between the angles is congruent to the corresponding side. In ΔACB, you have shown that angles B and C are congruent to their counterparts. The side between angles B and C is BC.

To use ASA, you must show BC ≅ FE.

__

Not enough information is given here for us to tell how one might prove congruence of the triangles. Hence your approach may work, or it may not--depending on the given information.

Answer:

y = 5/4x - 9

Step-by-step explanation:

y = mx + b

when you plot 4, -4 you have your first clue and point. then go up 5 and right 4 or down5 and left 4. When you go down you will reach the y intercept. On the number- 9. So -9 is your y intercept which goes in b.

Since 5/4 goes in the mx since it is slope the answer is y = 5/4 - 9

Answer:

50 miles per hour =73.33 feet per second (the conversion rate)

now if Morris is travelling 3 feet per second less than Aneesha so, the speed of Morris is 70.33 feet per second;

if we convert this to Miles per hour;

70.33 feet per second= 48 miles per hour (approximately)  

so here the last last option is the right

48 miles per hour

Answer:

48 miles per hour

Step-by-step explanation:

Answer:

C; Circle

Step-by-step explanation:

In this question, we are interested in giving a term to the locus of points which are at a certain distance from a fixed point.

The correct answer to this is a circle.

From the question, we can picture a situation which we have the point (1,2) as the center of the circle. This point serve the starting point in which all other points which are exactly 6 units away are plotted.

Thus, from this center point, we can mark off several points around the center point. By tracing the marked points from these center, we can obtain a circular path which when traced completely will give us the identity of a circle, where these points represent the line bounding the circle which is referred to the circumference of the particular circle in question.

Further more, from the definition of the radius of a circle, it is the distance from the center of a circle to the circumference. While the point (1,2) represents the center of the circle in question, the distance 6 units stand for the radius of the circle.

Answer:

circle

Step-by-step explanation:

Answer:

2.3 x 10^11.

Step-by-step explanation:

There are 11 digits after the first digit (2).

The answer is 2.3 x 10^11.

This is called scientific notation.

Answer:

A

Step-by-step explanation:

Answer

3/5

0.6 / 1 = 6 / 10 = 3/5

Answer:

3/5

Step-by-step explanation:

0.6=6/10

[dividing through by two]

=3/5

Answer:

(x - y) (x+y -1)

Step-by-step explanation:

See steps of factorization:

The highest point is when y = 0 and the lowest point is when y = -5

We can see this if we draw horizontal lines through the highest and lowest points (see the diagram below). Note where the horizontal lines cross the y axis. For y = 0, we don't really need a horizontal line but I'll draw it anyway.

Since y ranges from y = -5 to y =0, the range is therefore [tex]-5 \le y \le 0[/tex]

Side note: to write this in interval notation, you would say [tex][-5, 0][/tex]. The square brackets say to include each endpoint as part of the range.

Answer:

20(4 + 5)

Step-by-step explanation:

GCF is just the biggest number each value can be divided by. Here, it's 20, so that goes outside of the parenthesis. Now, what can you multiply by 20 to get 80? 4, so that goes in the second box. What can you multiply by 20 to get 100? 5, so that goes in the last box. You can check your answer by doing 80 + 100 = 180; 20(9) = 180.

So you have to find the GCF (Greatest Common Factor) or 80 and 100, which is 20.

20(?+?)

20 times what gets you 80?

20 times 4 gets you 80.

20 times what gets you 100?

20 times 5 gets you 100.

20(4+5) = 80+100 = 180

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:

The question is not complete, here is a possible match to the complete question:

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. What scale factor did Lin apply to the Triangle A to create the copy? Remember: A=1/2bh

a) 4

b) 8

c) 16

Answer:

Scale factor = 16

Step-by-step explanation:

From the diagram attached to this solution, the triangle was plotted on a graph sheet, and each grid on the graph represents 1 unit. hence the dimensions of Triangle A from the diagram is as follows:

Base = 3 units

Height = 3 units

Next, in order to determine the scale factor of the area of the triangle after scaling, let us calculate the area of the unscaled triangle.

Area of Triangle = 1/2 (base × height)

Area or Triangle = 0.5 × 3 × 3 = 4.5 square units

Therefore,

Area of unscaled triangle = 4.5 squared units

Area of scaled triangle = 72 squared units

since the area of the scaled triangle is larger than the unscaled triangle, the scale factor is simply the number of times by which the scaled triangle was enlarged, compared to the unscaled triangle. This can be calculated by dividing the scaled triangle by the unscaled triangle as follows:

Scale factor =(scaled triangle) ÷ (unscaled triangle)

Scale factor =  72 ÷ 4.5 = 16

Answer:

The 7th roots are : [tex]$ 1, \frac{2 \pi}{7}, \frac{4 \pi}{7}, \frac{6 \pi}{7}, \frac{8 \pi}{7}, \frac{10 \pi}{7}, \frac{12 \pi}{7}$[/tex]

Step-by-step explanation:

The roots of unity are evenly spread around the unit circle.      

The roots of unity can be find by using the relation

[tex]$ 1= 1 ( \cos 0 ^\circ +i \sin ^\circ )$[/tex]

[tex]$\sqrt[n]{1} = 1 [\cos (\frac{2k \pi}{n}})+ i \sin (\frac{2k \pi}{n}) ] $[/tex]

Now z be a polynomial.

[tex]$z^7=1 \Rightarrow z = 1^{\frac{1}{7}}$[/tex]

therefore, cos 0 = 1.

[tex]$ z = \cos (2k \pi)^{\frac{1}{7}}$[/tex]                [tex]$ (\cos \theta)^n = \cos n \theta $[/tex]

[tex]$ z = \cos \frac{2k \pi}{7} $[/tex]

Now, for k=0, z = 1

[tex]$ k=1 \Rightarrow z = \cos \frac{2 \pi}{7} = \cos 3 \frac{2 \pi}{7}+ i \sin \frac{2 \pi}{7}$[/tex]

[tex]$ k=2 \Rightarrow z = \cos \frac{4 \pi}{7} = \cos \frac{4 \pi}{7}+ i \sin \frac{4 \pi}{7}$[/tex]

[tex]$ k=3 \Rightarrow z = \cos \frac{6 \pi}{7} = \cos \frac{6 \pi}{7}+ i \sin \frac{6 \pi}{7}$[/tex]

[tex]$ k=4 \Rightarrow z = \cos \frac{8 \pi}{7} = \cos \frac{8 \pi}{7}+ i \sin \frac{8 \pi}{7}$[/tex]

[tex]$ k=5 \Rightarrow z = \cos \frac{10 \pi}{7} = \cos \frac{10 \pi}{7}+ i \sin \frac{10 \pi}{7}$[/tex]

[tex]$ k=6 \Rightarrow z = \cos \frac{12 \pi}{7} = \cos \frac{12 \pi}{7}+ i \sin \frac{12 \pi}{7}$[/tex]

[tex]$ k=7 \Rightarrow z = \cos \frac{14 \pi}{7} = \cos \frac{14 \pi}{7}+ i \sin \frac{14 \pi}{7}$[/tex]

Then the 7th roots are : [tex]$ 1, \frac{2 \pi}{7}, \frac{4 \pi}{7}, \frac{6 \pi}{7}, \frac{8 \pi}{7}, \frac{10 \pi}{7}, \frac{12 \pi}{7}$[/tex]

Answer:

The correct option is;

B. GT PT ET GV PV EV

Step-by-step explanation:

The given information we have;

The number mathematics topics Travis has to chose from tonight = 3 topics

The number of ways he can chose to study each topic = 2 ways

Therefore the number of different combo Travis can chose from is given as follows;

The number of combos = The number of topics × The number of ways

∴ The number of combos = 3 × 2 = 6 combos

Therefore, the possible combos are;

B. GT PT ET GV PV and EV which is the same as GT, GV, PT, PV, ET, and EV.

Answer: 4

Step-by-step explanation: The y-intercept is a point

where a line crosses the y-axis.

All y-intercepts have an x-coordinate of zero.

The equation shown here is in slope-intercept form or y = mx + b form.

In this form, the m represents the slope and the b is y-intercept.

So here, we can tell that the y-intercept is 4.

Answer:

2+32×5

If you want the answer:

2+160

162

Step-by-step explanation:

Answer:

2+5^32

Step-by-step explanation:

Answer:

63.057

Step-by-step explanation:

circumference= πd

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{63.05 cm}}}}[/tex]

Step-by-step explanation:

Given,

Circumference ( C ) = 198 cm

Diameter ( d ) = ?

Now, let's find the diameter of the circle :

We have,

[tex] \sf{c \: = \: \pi \: d}[/tex]

plug the values

⇒[tex] \sf{198 = 3.14 \: d}[/tex]

Swap the sides of the equation

⇒[tex] \sf{3.14 \: d \: = 198}[/tex]

Divide both sides of the equation by 3.14

⇒[tex] \sf{ \frac{3.14 \: d}{3.14} = \frac{198}{3.14} }[/tex]

Calculate

⇒[tex] \sf{d = 63.05}[/tex] cm

[tex] \underline{ \underline{ \sf{ \bold{ \blue{further \: more \: information}}}}}[/tex]

▪️[tex] \sf{ \bold{ Circumference}}[/tex]

⇒The perimeter of a circle is called it's circumference. It is the total length of the curved line of the circle.

▪️[tex] \sf{ \bold{ Radius}}[/tex]

⇒It is the line segment that joins the center of a circle and any point on its circumference.

▪️[tex] \sf{ \bold{Diameter}}[/tex]

⇒A line segment that passes through the centre of a circle and joins ant two points on its circumference is called the diameter of the circle. The length of a diameter is two times radius.

Hope I helped!

Best regards!!

Answer: The number of dimes is:

Dimes = -(Nickels + Pennies) + 24.

Such that Nickels + Pennies < 24, and each quantity refers to the initial number of coins of the given type.

Step-by-step explanation:

Let's call N = number of nickels, D =  number of dimes, and  P = number of pennies.

The total number of coins is N + D + P

We know that the total value in nickels is:

N*$0.05

The total value in dimes is:

D*$0.10

And the total value on Pennies is:

P*$0.01

Then, the "mean" value of the coins will be equal to the total value of all the coins, divided the total number of coins.

$0.07 = (N*$0.05 + D*$0.10 + P*$0.01)/(N + D + P)

we can mutiply at both sides by the total number of coins, and we have:

$0.07*(N + D + P) = N*$0.05 + D*$0.10 + P*$0.01

Now, if we remove one nickel by five penies, we have:

$0.06 = ((N-1)*$0.05 + D*$0.10 + (P+5)*$0.01)/(N - 1 + D + P + 5)

Again, we multiply in both sides by the total number of coins and:

$0.06*(N - 1 + D + P + 5) = ((N-1)*$0.05 + D*$0.10 + (P+5)*$0.01)

Ok, now we have two equations:

$0.07*(N + D + P) = N*$0.05 + D*$0.10 + P*$0.01

$0.06*(N + D + P + 4) = ((N-1)*$0.05 + D*$0.10 + (P+5)*$0.01)

We can take the second equation and write the right side as:

$0.06*(N + D + P + 4) = ((N-1)*$0.05 + D*$0.10 + (P+5)*$0.01)

                                    = N*$0.05 + D*$0.10 + P*$0.01 - 1*$0.05 + 5*$0.01

                                    =  N*$0.05 + D*$0.10 + P*$0.01

Now, the two equations are:

$0.07*(N + D + P) = N*$0.05 + D*$0.10 + P*$0.01

$0.06*(N + D + P + 4) = N*$0.05 + D*$0.10 + P*$0.01

Then we have that:

$0.07*(N + D + P) = $0.06*(N + D + P + 4)

D*($0.07 - $0.06) = ($0.06 - $0.07)*(N + P)) + 4*$0.06

D*$0.01 = -$0.01(N + P) + 4*$0.06

D = (-$0.01(D + P) + 4*$0.06)/$0.01 = -(N + P) + 24

So the number of Dimes is related to the number of pennies and nickels that we have at the begginig.

Such that in both cases the number of dimes is equal:

D = -(N + P) + 24

Notice that N + P can not be larger or equal than 24, so we have the rule:

N + P < 24.

D

Answer:

The constant of proportionality is 0.45.

Step-by-step explanation:

The constant of proportionality is the ration of two different quantities or is the unit value of a quantity.

The expression representing the price of bananas is:

[tex]p=0.45n[/tex]

To determine the unit rate of bananas divide the price by the number of bananas.

[tex]\text{Unit Rate}=\frac{p}{n}[/tex]

                [tex]=\frac{0.45n}{n}\\\\=0.45[/tex]

Thus, the constant of proportionality is 0.45.

Answer:

Step-by-step explanation:

Define number of videos purchased as "n" and number of CD's purchased as "c" then we can equation the total purchases and the costs by:

8 nephews:

n + c = 8

Spent $121.53

14.95*n + 16.88*c = 121.53

Substitute one variable as a function of the other. Preference the simpler equation (n + c = 8)

n = 8 - c

=>

14.95*(8-c) + 16.88c = 121.53

119.60 + 1.93c = 121.53

1.93c = 1.93

c = 1

=>

n = 7

*Check:

14.95*(7) + 16.88*(1) = 121.53

im so sorry if this is wrong :/

Answer:

The answer is 5+2h because it is $2 per hour so 2h and $5 per day. it does not have a variable for $5 per day

Answer:

Range: [-3, 7]

Step-by-step explanation:

Range is all the y-values that are outputted.

When we graph the equation, we should see our minimum y-value and maximum y-value.

Answer:

45

Step-by-step explanation:

OK, first we turn the variables into into the actual values:

The equation will look like this:

(2)5 + (-5)(-7)

Now its easier to solve!  Lets solve (2)5!

2 * 5 = 10

The equation looks like:

10 + (-5)(-7)  

We will also solve (-5)(-7). Remember that a negative number times a negative number is positive!

-5 * -7 = 35

Lets finish the rest:

10 + 35 = 45.          

Hope this is correct and have a nice day!      

Answer:

4 is the answer

Step-by-step explanation:

8 + x + 2 = 4x -2

8 + 2+ 2 = 4x - x

12 = 3x

x =12/3 = 4

Answer:

Step-by-step explanation:

A number that cannot be exactly expressed as a ratio of two integers.

An irrational number cannot be written as a simple fraction.

Pi is a famous irrational number.

Answer:

212 m²

Step-by-step explanation:

Break it down into 3 rectangles.

10x8=80

4x13=52

16x5=80

80+52+80=212

Answer:

[tex]\Huge \boxed{x=5}[/tex]

Step-by-step explanation:

Apply the intersecting chord theorem.

DK × BK = AK × CK

12(4x+1) = 14(3 + 3x)

Expand brackets.

48x + 12 = 42 + 42x

Subtract 42x and 12 from both sides.

6x = 30

Divide both sides by 6.

x = 5

Answer:

C

Step-by-step explanation:

Given 2 chords intersecting inside a circle, then

the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, that is

12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides

48x + 12 = 42 + 42x ( subtract 42x from both sides )

6x + 12 = 42 ( subtract12 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5

Answer:

10 weeks

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{ x = 75 k}[/tex]

Step-by-step explanation:

The given ratio is:

=> 5 : 1

Given that the smallest one is 15k

So, Let's built a proportion:

=> 5 : 1 = x : 15   [Where x is the unknown one]

Product of Means = Product of Extremes

x = 5 * 15

=> x = 75 k

Answer:

9xx2401x=21609x

Step-by-step explanation: 3x3=9. 40x40=1600, 40x9=360x2 because there are 2 of the same problem because the number is the same. 9x9=81.

Now we add them up. 1600+720+81=2401. 2401x9=21609

But don't forget to add the x at the end or the answer is wrong!!!