Jason worked 3 more hours than Keith.
Jason worked 12 hours. Which equation
represents this situation, if k is the
number of hours Keith worked?
A. 12 + k = 3
B. 12k = 3
C. k + 3 = 12
D. 3k = 12

Answer:

The horizontal length is 80 cm, and the vertical height is 60 cm.

Step-by-step explanation:

The aspect ratio is the ratio of the horizontal length to the vertical height.

We have a rectangle with sides 4 and 3. We can find the length of the diagonal.

We can use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

The diagonal is 5 in the ratio.

The ratio of the horizontal length to the vertical height to the diagonal is

4:3:5

We multiply all the numbers in the ratio by the same unknown, x.

A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.

We are told that the diagonal is 100 cm, so we have

4x : 3x : 100,

but we already had a ratio of

4x : 3x : 5x, so

5x = 100, and we can find x.

5x = 100

Divide both sides by 5.

x = 20

Since x = 20, then the horizontal length 4x = 4(20) = 80,

and the vertical height 3x = 3(20) = 60

Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.

Answer:

horizontal length=80, vertical length=60

Step-by-step explanation:

a^2 + b^2 = c^2

the tv is a 3:4:5 right triangle

the ratio is then changed from

3:4:5

to

60:80:100

because 100/5 = 20

so you multiply the original ratio by 20

(because the length of 100 that we are given is the hypotenuse of the triangle(diagonal of the tv))

Therefore,

the horizontal length is 80

the vertical lengt is 60

Answer: 62

Step-by-step explanation:

First and foremost, we have to calculate the volume of the box which will be:

= 2 2/3 × 3 1/3 × 2 1/3

= 8/3 × 10/3 × 7/3

= 560/27

= 20 20/27

The number of 1/3 inch cubes needed to fill the box will then be:

= 20 20/27 ÷ 1/3

= 560/27 ÷ 1/3

= 560/27 × 3

= 560/9

= 62 2/9

Therefore, 62 boxes can be filled

Answer:

5:7

Step-by-step explanation:

Step-by-step explanation:

5:7 is the simplified fraction of 25:35

skjdnisujwndijbd

2.5 hours

Answer:

2430

Step-by-step explanation:

40%-> 972

100% -> 972÷40×100

          = 2430

Answer:

3.24 pounds

Step-by-step explanation:

3*1.08=3.24

Answer:

not a function

Step-by-step explanation:

Answer:

18,0

Step-by-step explanation:

By useing desmos, the line has an x intercept of 18 making that the answer.

PLZ MARK AS BRAINLIEST

Answer:

D = 18

Step-by-step explanation:

[tex]6 = \frac{1}{3}d[/tex]

[tex]3*(\frac{1}{3} d) = (3)*(6)[/tex]

[tex]d=18[/tex]

Answer:

Rectangle= lw (length times width)

Square= a²

Parallelogram=bh (base times height)

Answer:

x = -8

Step-by-step explanation:

Answer:

Solution given;

2-(3x+5)=5-2x

2-3x-5=5-2x

-3-5=3x-2x

x=-8 is your answer.

Answer:

Step-by-step explanation:

(4x-30)=2x

2x=-30

x=15

Answer:

thats the equation for slope-intercept form

Step-by-step explanation:

m is the slope and b is where the line intercepts on the y axis

Answer:

linear equation

Step-by-step explanation:

happy to help ya :)

Answer:

Step-by-step explanation:

Distribute the 2

y + 7 = 2x + 10

Subtract 7 on both sides

y = 2x +3

Answer: y = 2x +3

Step-by-step explanation: hope this helped

Answer:

[tex] \boxed{ \boxed{ \sf \: x \: intercept : 8 \atop \sf \: y \: intercept : 2}}[/tex]

Step-by-step explanation:

let's substitute x to 0 to find y intercept

therefore y intercept is 0

let's substitute y to 0 to find x intercept

therefore

and

also see the graph

explanation of the graph

you can clearly see that the red line crosses x and y axis to (8,0) and (0,2) respectively

therefore

x intercept is 8

and

y intercept is 2

Answer: b

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

a.5115.5g

b. 5115.5/1000= 5.1kg

Step-by-step explanation:

Given data

volume= 650 cm^3

density= 7.87 g/cm^3

We know that

density= mass/volume

mass= density*volume

mass= 7.87*650

mass= 5115.5 g

a.5115.5g

b. 5115.5/1000= 5.1kg

10.............................

Answer:

br uh

Step-by-step explanation:

18000

Step-by-step explanation:

5000*12%= 600 600× 30= 18000 15 years semi annually = 30 x

The compound interest on $5,000 at 12% interest for 15 years compounded semi-annually is $22,243.58

To find the compound interest on $5,000 at 12% interest for 15 years compounded semi-annually, we can use the formula:

A = P(1 + r/n)^(n*t)

where:

P = principal amount = $5,000

r = annual interest rate = 12% = 0.12

n = number of times compounded in a year = 2 (compounded semi-annually)

t = time period in years = 15

A = amount after t years

Plugging in the values, we get:

A = 5000(1 + 0.12/2)^(2*15)= $27,243.58

So, the amount after 15 years is $27,243.58. To find the compound interest, we can subtract the principal amount from the amount after 15 years:

Compound interest = A - P

= $27,243.58 - $5,000

= $22,243.58

Therefore, the compound interest on $5,000 at 12% interest for 15 years compounded semi-annually is $22,243.58.

To read more about Compound Interest visit:

https://brainly.com/question/14295570

Answer:

See Below.

Step-by-step explanation:

Statements:                                              Reasons:

[tex]1)\text{ } AD\text{ bisects } \angle BAC[/tex]                                  Given

[tex]2)\text{ } \angle BAD \cong \angle CAD[/tex]                                    Definition of Bisector

[tex]\displaystyle 3) \text{ } A D \parallel E C[/tex]                                               Given

[tex]\displaystyle 4)\text{ } \angle CAD\cong \angle ACE[/tex]                                    Alternate Interior Angles Theorem*

[tex]\displaystyle 5) \text{ } \angle BAD\cong \angle BEC[/tex]                                   Corresponding Angles Theorem*

[tex]6)\text{ } \angle CAD\cong \angle BEC[/tex]                                   Substitution

[tex]7)\text{ } \angle ACE\cong\angle BEC[/tex]                                    Substitution

[tex]\displaystyle 8)\text{ } AC = A E[/tex]                                              Isosceles Theorem Converse

*Please refer to the attachment below.

Let me know if you have any questions!

Answer:

In the given figure AD is internal bisector of angle A and CE is parallel to DA. If CE meets BA produced at E.

to prove :AC=AE

<BAC + <EAC = 180° ( Straight line)

In triangle ACE

<ACE + <AEC + <EAC = 180° (sum ofangles of Triangle)

Equating both

<BAC + <EAC = <ACE + <AEC + <EAC

=<BAC = <ACE + <AEC.......... Eq 1

<BAD = (1/2) <BAC

<BAD = <AEC so (AD || CE)

we get

<AEC = (1/2) <BAC

putting this in eq 1

=<BAC = <ACE + <AEC Eq1

<BAD = (1/2) <BAC

<BAD = <AEC (AD || CE)

=<AEC = (1/2) <BAC

<AEC=<ACE=1/2 <BAC

: AC = AE

hence proved.

Answer:

280 miles

Step-by-step explanation:

in one hour, you would travel 70 miles because you are going at the speed of 70mph

so to find out how far you go in 4 hours you would multiply 70(mph)×4(hrs) which would be?

280 miles

Step-by-step explanation:

Distance=speed x time

Speed=70mph

Time=4 hours

Distance=70 x 4

Distance=280m

Answer: 32 degrees in F

Step-by-step explanation:

Answer:

2 degrees

Step-by-step explanation:

you woud add the 2 degrees droped to the current degrees and 0+2= 2 so yesterdays tempature was 2 degrees hope i helped!

she can buy 5 shirts maximum

100-53.84=46.16 that is how much she has left to spend on shirts. 46.16÷8.19=5.63 but you can't have 0.63 shirts so in the end she can buy 5 shirts

Answer: One solution

Step-by-step explanation:

Given

-5x-8=8

Add 8 on both sides

-5x-8+8=8+8

-5x=16

Divide -5 on both sides

-5x/-5=16/-5

x=-3.2

Therefore, it has one solution

Hope this helps!! :)

Please let me know if you have any questions

Answer:

This is a statistical question because to answer this question, you would collect data by asking students about their favorite colors, and there would be variability in the data. The favorite color would not be the same for every student

Step-by-step explanation:

Answer:

x = 150

Step-by-step explanation:

x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630

3x + 180 = 630

3x = 450

x = 150

The value of x is 150

A polygon is a closed figure made up of three or more line segments connected end to end.

We are given that seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degree

Therefore, the sum of all the angles are;

x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630

3x + 180 = 630

3x = 450

x = 150

Learn more about polygon here;

https://brainly.com/question/11211761

#SPJ2

Answer:

2x-60=180

Step-by-step explanation:

it's my view and I tackle this prob.