On the Mertler’s vacation to Florida, they drove 180 miles in 3 hours before stopping for lunch. After lunch they drove 120 miles in 2 hours before stopping for gas. Are these rates equivalent? Explain your reasoning.

Step-by-step explanation:

The question is to combine the equations, so we should add them.

- 2x -4y = -26

+ - 3x -3y = - 12

(same signs add, different signs subtract)

-5x -7y = -38

(in the question there are two boxes at the side of the eqaution you should put (+)sign there as youre adding them)

If this question was supposed to be subtracted it would give a while different ans)

Answer:

Step-by-step explanation:

Step one:

given the expression w/8 - 4 = 20

the first operation is to isolate the term that has w by adding 4 to both sides

w/8 - 4+4 = 20+4

w/8 = 16

Required

the value of w

Step two:

the next step is to cross multiply

w=16*8

w=128

a)Scale factor is 72.

b)The area of the scale drawing is 3.75 square inches.

c)To find the area of the actual drawing, multiply the area of the scale drawing by 5184.

Length of the smaller rectangle =2.5inches

Width of the smaller rectangle = 1.5inches

So, the area of the smaller rectangle = 2.5*1.5 = 3.75 square inches.

Length of larger rectangle = 5 yards

Width of larger rectangle =3 yards

So, the area of the larger rectangle = 15 square yards = 15*36*36 = 19440 inches.

The scale factor is the factor by which the dimension of an object is enlarged.

a)Scale factor = dimension of the larger rectangle/ corresponding dimension of the smaller rectangle

Scale factor = 5 yards/ 2.5 inches

as we know that 5 yards equals 180 inches

So, scale factor = 180/2.5 = 72

b)The area of the scale drawing = 3.75 square inches.

c)Area of actual drawing/ area of scale drawing = 19440/3.75 = 5184

So, to find the area of the actual drawing, multiply the area of the scale drawing by 5184.

therefore, a)Scale factor is 72

b)The area of the scale drawing is 3.75 square inches.

c)To find the area of the actual drawing, multiply the area of the scale drawing by 5184.

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Answer:

(A) 2

(B) 3.75

(C) square

Step-by-step explanation:

Got it right edge 2022

Answer:

496

Step-by-step explanation:

I think

Answer:

A will be 5 and B will be 25

Answer:

MTD = 75

Step-by-step explanation:

RTD + RTM + MTD = 180

     65 + 40 + MTD = 180

            105 + MTD = 180

Subtract 105 from both sides.

                      MTD = 75

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When two straight lines or rays intersect at a shared endpoint, an angle is generated. The measure of the angle ∠MTD is equal to 15°.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

Given that point M is in the interior of ∠RTD. Also, the measure of ∠RTM=40°, and ∠RTD = 65°.

Now, since the two angles together form ∠RTD, therefore, we can write,

∠RTD =  ∠RTM + ∠MTD

65° = 40° + ∠MTD

∠MTD = 65° - 40°

∠MTD = 15°

Hence, the measure of the angle ∠MTD is equal to 15°.

Learn more about Angle here:

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Answer:

D

explain:

attachment

Answer:

The answer is x = 6.

Step-by-step explanation:

The middle line is 2, and the leg is [tex]\sqrt{13}[/tex]. We can use the pythagorean theorem and use [tex]\sqrt{13}[/tex] as the hypotenuse and have 2 be a leg.

[tex]a^{2} + b^{2} = c^{2} \\\\2^{2} + b^{2} = \sqrt{13}^{2}[/tex]

[tex]4 + b^{2} = 13\\\\b^{2} = 9\\b = 3[/tex]

Since we know one of the bottom parts of x is 3, and the other triangle is the same as the on we solve, we do 3 + 3 which is 6. 6 is equal to x.

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Answer:

Pretty sure its undefined

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Looking at the change in x's theres no variation which means this is a vertical line, thus therefore this is an undefined line as the rise over the run or the change in y over the change in x will result in a divide by 0 situation making it (-4, all real numbers) aka undefined.

slope = rise/run = change in y/change in x = (y2-y1)/(x2-x1)

Hope this helps :)

YYY, GYY, YGY, YYG, GGY, YGG, GYG, and GGG should be the answer

Answer:

yyy ggg gyy ygg ggy yyg ygy gyg

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?

“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.

Its angle sum is four times the smaller one’s. This applies to interior angles.

A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.

A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.

So start at 9.

7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.

18 fits that description.

The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.

18÷6=3, so we have a solution. The smaller polygon can be a hexagon.

We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).

So the 30-gon:

28×180=5040

5040÷4=1260

1260÷180=7

7+2=9

9×3=27

Off by 3.

The 42-gon:

((((((42–2)×180)÷4)÷180)+2)×3)=36

Off by 6. It will keep getting farther away, so we have a unique solution.

Answer:

1) The graph is opening upwards

2) Axis of symmetry is x=-2

3) Vertex: (-2, 1) minimum y=1

4) y intercept is (0, 9)

5) domain: x|x ∈ R (All real numbers)

6) Range y|y ≥ 1

Answer:

7. Slope = -5

Y-intercept = -3/4

8. Slope = 1/4

Y-intercept = 5

Step-by-step explanation:

y = mx + b

Slope = m

Y-intercept = b

Answer:

20 mobile sets.

Step-by-step explanation:

Every mobile set costs:

40000 / 8

= 5000 Rs.

Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:

100,000 / 5000

= 20 mobile sets.

Hope this helped!

I hope it is helpful for you .....

Answer:

Step-by-step explanation:

Step one:

given data

Maya

P=$1650

r=5%= 0.05

t= 4 years

The simple interest expression is

A=P(1+rt)

A=1650(1+0.08*4)

A=1650(1+0.32)

A=1650(1.32)

A=1650*1.32

A=$2178

James

P=$1600

r=8%= 0.08

t=4years

The compound interest expression is

A=P(1+r)^t

A=1600(1+0.08)^4

A=1600(1.08)^4

A=1600*1.360

A=$2176

After 4 years Mayas' balance is $2178

After 4 years James' balance is $2176

the difference is =2178-2176=$2

Answer:

36 students

Step-by-step explanation:

because if 1/6 is 6 students then you have to multiply the 6 by 6

Answer:Idk

Step-by-step explanation:

Answer:  A.)

The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.

Answer:

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.

Step-by-step explanation:

Answer:

The perimeter is 7b

Step-by-step explanation:

An isosceles triangle has exactly two sides of the same length. Suppose we have an isosceles triangle with the base as the unequal side length of b.

The perimeter of the triangle is:

P = x + x + b = 2x + b

Being x the two equal side lengths.

It's given the base b of the triangle is one-third of any of the other sides, that is:

b = 1/3 x

Or, equivalently:

x = 3b

Thus, the perimeter of the triangle is:

P = 2x + b =  = 2(3b) + b

P = 6b + b = 7b

The perimeter is 7b

Answer:

£2.80

Step-by-step explanation:

7%= 7/100

(7/100)*40=2.8

Answer:

=£ 2.80  or   £2 80p

Step-by-step explanation:

7% of £40

7 x 40 = 280

100           100

= £2.80 or £2 80p

Answer:

c

Step-by-step explanation:

Answer:x^4+6x^3+6x^2-9x+12

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

Square roots of negatives are imaginary numbers.

Answer:

y = 4x -8

Step-by-step explanation:

The y intercept is -8 so our b term for y = mx + b is 8.

The line goes up 4 y values every one x value to the right

Answer:

y = 3x - 8

Step-by-step explanation:

To write the equation of the line in slope-intercept form, or y = mx + b, we have to find the y-intercept (b) and the slope(m).

To find the y-intercept, look at the graph at find where the line intercepts the y-axis. On this graph, the line intercepts at y = -8. Now we know the value of b.

To find the slope, look at the rise over run between two points. The line goes up by 3 every time it goes over 1. this means that our slope is 3.

Now we can input the values of the slope and the y-intercept into the equation.

y = 3x - 8

I hope this helps :)

Answer:

C= 17mm

Step-by-step explanation:

Answer and Step-by-step explanation:

Distribute the 6mn to the 2m and -3n

The answer is:

[tex](12m^{2} n ) - 18mn^{2}[/tex]

#teamtrees #WAP (Water And Plant)

Answer:

12m^2n - 18mn^2

Step-by-step explanation:

6mn(2m-3n)

Multiply with distributive property, so basically just multiply

12m^2n - 18mn^2

Answer:

I think it's C. Sorry if it's incorrect! I worked it out in like 2 min.

Answer:

y=2x+1

Step-by-step explanation: