3. Using a scale factor of 1 in to 2.5 feet, if a model of a fire truck measured 12 inches, how many
feet is the actual fire truck?
A. 30ft
B. 30in
C. 15ft
D. 15 in
distance

Step-by-step explanation:

These problems are about like terms.  Those are terms that are alike (same variables) but the coefficients (numbers in front) can be different.

1.  12m + 24m = 36m

2.  90a - 30a = 60a

Example:  6k + 8k + 10 = 14k + 10  (the part of the expression that's just a number does not combine with the parts that have variables).

3.  29b + 8

4.  36d + 25  (the terms with d in them combine--they don't have to be back-to-back)

5.  This is about the Distributive Property; first multiply 14 + 15f both by 3, then look for opportunities to combine like terms.

3(14 + 15f) + 79 = 42 + 45f + 79 = 121 + 45f

6.  20(18 + 5t) - 47 + 28t = 360 + 100t - 47 + 28t

    = 313 + 128t

Answer:

64 slices

Step-by-step explanation:

The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.

16⋅8=128 slices of bread in total

Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.

128÷2=64.

Answer:

a) x = 3

b) z = 10

c) p = 2

d) x = 7

e) u = 1

Step-by-step explanation:

a) 2x = 6

Despejamos x dividiendo por 2 a amabos lados de la eacuacion.

(2/2)x = 6/2

x = 3

Si remplazamos x en la ecuación original:

2(3)=6

6 = 6

Queda demostrado.

b) 10 + z = 20

Despejamos z restando 10 en amabos lados de la eacuacion.

10-10+z = 20-10

z = 10

Si remplazamos z en la ecuación original:

10 + 10=20

20 = 20

Queda demostrado.

c) p + 9 = 11

Despejamos p restando 9 en amabos lados de la eacuacion.

p + 9 - 9 = 11-9

p = 2

Si remplazamos p en la ecuación original:

2 + 9 = 11

11 = 11

Queda demostrado.

d) 3x + 8 = 29

Despejamos x restando 8 en amabos lados de la eacuacion y luego divideindo por 3 en ambos lados de la ecuación.

3x+8-8 = 29-8

3x = 21

(3/3)x = 21/3

x = 7

Si remplazamos x en la ecuación original:

3(7) + 8 = 29

21 + 8 = 29

29 = 29

Queda demostrado

e) 2u + 8 = 10

Despejamos u restando 8 en amabos lados de la eacuacion y luego divideindo por 2 en ambos lados de la ecuación.

2u+8-8 = 10-8

2x = 2

(2/2)x = 2/2

x = 1

Si remplazamos x en la ecuación original:

2(1) + 8 = 10

2 + 8 = 10

10 = 10

Queda demostrado

Espero te haya sido de ayuda!

Answer:

x=8

Step-by-step explanation:

13=x+5

8=x

Answer:

x = 8

Step-by-step explanation:

Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:

x + 5 = 13

So now we have to do the inverse operations thingy:

13 - 5 = 8

So x = 8

tell me if this is wrong so I can fix it

hope this helps:)

Answer:

140,120

Step-by-step explanation:

sum of angles in a quadrilateral =360

sum of the 1st two angles=60+40=100

360-100=260

the ratio of the remaining angles 7:6

therefore:

[tex] \frac{7}{13} \times 260[/tex]

=140

for the second angle

260-140=120

Answer:

x = 8√3

Step-by-step explanation:

Answer:

125=12x+40

Step-by-step explanation:

Let the number of hours be x

And the total amount be =$125

We already have $40

Hence the expression is

125=12x+40

If we solve for x, the answer gotten is the number of hours

Answer:

you did it right

I hope it's helps you

Answer:

34 °

Step-by-step explanation:

∠D = 71°

∠G = 37°

In ΔGEF

Using angle sum property of triangle : Sum of all angles of triangle is 180°

∠G+∠E+∠F = 180°

Since ΔGEF is right angled triangle at F so, ∠F = 90°

Now, 37°+∠E+90° = 180°

127°+∠E= 180°

∠E= 180°-127° =53°

Now ∠E+∠D = 53°+71°  = 124°

Now using exterior angle property in ΔABC

An exterior angle of a triangle is equal to the sum of the opposite interior angles

∠E+∠D is the exterior angle of  ΔABC

So, ∠A+∠B = ∠E+∠D

since  ΔABC is right angled triangle at B so, ∠B = 90°

∠A+90° = 124°

∠A = 124°-90°

∠A = 34°

Hence the measurement of angle A is 34 °

Assuming the following is a triangle, A = 72°

All interior angles of a triangle added together will always equal 180°, so [tex]180 - 71 - 37 = 72[/tex]

Answer:

Actual distance represented by 5.5 inch of map distance is

[tex]192.5[/tex] miles

Step-by-step explanation:

Given,

The scale of map -

1 inch on map is equal to 35 miles.

Distance measured by mike on map is equal to 5.5 inch

Actual distance represented by 5.5 inch of map distance is

[tex]= 5.5 * 35 = 192.5[/tex] miles

Answer:

2,4

Step-by-step explanation:

Answer:

The Answer is: y = - 2x + 8.

the y-intersept is 8, and the slope is -2x

Answer:

x = -56

Step-by-step explanation:

0.75(x + 20) = 2 + 0.5(x - 2)

0.75x + 15 = 2 + 0.5x - 1

0.25x = -14

x = -14/0.25

x = -56

Answer:

the top one is posable oucomes and the the bottom is the other on

Step-by-step explanation:

Answer:

1 fav

2. possible

Step-by-step explanation:

1.y=16 x=8 ||| Because the 12 and 9 are the same side, i just decided to go from there, 9 is 75% of 12, so y and x would be

2.d=24 ||| the smaller triangle once again is 75% of the bigger one.

3.x=6 y=60 ||| the smaller triangle is 1/3 of the bigger one.

4. DE=8  AC=20 ||| The smaller triangle is half of the bigger one.

1. 6 is 75% of 8 and 12 is 75% of 16.

2. 18 is 75% of 24

3. 18/3=6 and 6 is 1/3 of 18; 20 is 1/3  of 60

4. 10 is 1/2 of 20; 1/2 of 16 is 8

Hope this helps.

Answer:

d) Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.

Step-by-step explanation:

edge 2020

The evidence that the true mean number of hours of screen time for US adults is greater than 3.5 is there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.

It is an estimate of an interval used in statistics, which contains a population parameter. This unknown population parameter is found through a sample model calculated from the collected data.

The confidence level index is directly linked to the margin of error. In that case, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.

See more about confidence interval at brainly.com/question/24131141

#SPJ2

Answer:

74%

Step-by-step explanation:

How I did it is divided 37 and 50 (37/50 = 0.74)

Answer:

D. m= x + 0.75

Step-by-step explanation:

Andrew is adding books to the backpack that already weighs 0.75 kg.

Answer:

she uses 12×5=60 grapes

Answer:

30

Step-by-step explanation:

5 grapes : 2 strawberries

5 : 2

x : 12

x = (5 × 12) ÷ 2

x = 30

Answer:

4.71 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the above question,

r = QR = 3 units

θ = angle QRS= 90 = 90°

The length of the arc is calculated as:

2 × π × 3 × 90/360

= 4.7123889804 units

Approximately to the nearest hundredth = 4.71 units

Answer: 31

Step-by-step explanation:

9 + 2 = 11. 11 is how old Kelly is in 2 years.

1/3 of 33 is 11. Kelly's mother is 33 in two years, meaning two years ago, Kelly's Mother is 31.

Here is the full equation.   K = Kelly.    M = Kellys Mom

9k = m

2k + 9k = m + 2m

11k = m + 2

11k = [tex]\frac{m}{3}[/tex]

M + 2 = 33

     -2    -2

m = 31

Answer:

15 oz.

Step-by-step explanation:

It says that the average box contains 15 oz. So, if you have 50, it still would be about 15 as the average.

Answer:

c

Step-by-step explanation:

From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.

Answer:

7 times 50=350

Step-by-step explanation:

Answer:

a₅₀ = 252

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

a₅₀ = 7 + (49 × 5) = 7 + 245 = 252

Answer:

Real number

Rational number

Step-by-step explanation: