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3 years ago

A train has 6 identical passenger cars that are each 18 m long.

Mathematics

1 answer:

Gnesinka [82]3 years ago

5 0

Answer:

59m

Step-by-step explanation:

No of passenger cars in the train = 6

length of each passenger cars = 18m

total length of 6 passenger cars = 18 * 6 = 108 m

length of caboose = 10m

total length of train when caboose is included = 108 m + 10 m = 118m

_____________________________________________

Let the length of truck be X m

given that length of train is twice of length of truck = 2*X

but length of train as found above is 118 m

this implies

2X = 118

X = 118/2 = 59m

Therefore length of truck is 59m

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for this job , Hayden earns an hourly rate of $30. For each hour he works over 40 hours, he earns 1.5 times his regular hourly r

Dominik [7]

Hayden's hourly rate is $30
Extra hour rate is 1.5×30=$45
given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows;
let the number of overtime be x
hence total amount earned will be:
(40×30)+(45×x)=2175
1200+45x=2175
45x=2175-1200
45x=975
solving for x we get
x=975/45
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2 years ago

Joanna went school supply shopping. She spent $30.70 on notebooks and pencils. Notebooks cost $2.20 each and pencils cost $1.09

aleksandrvk [35]

Ok, so we need to set up a system of equations.

x + y = 19, where x is notebooks and y is pencils

2.2x + 1.09y = 30.70. You use the coefficient for individual prices and the total for the total given.

2.2x + 2.2y = 41.8 (multiply for elimination later)

2.2x + 1.09y = 30.7

1.11y = 11.1

y = 11.1/1.11

y = 10

Now we use the substitution method in x + y = 19

x + 10 = 19

x = 9

9 notebooks and 10 pencils

8 0

3 years ago

Find the surface area of the following figure

Julli [10]

Answer:

Step-by-step explanation:

We have:

two trapezoids with bases 15ft and 7ft and height 5ft.

four rectangles 5ft × 11ft, 15ft × 11ft, 9.4ft × 11ft and 7ft × 11ft.

The formula of an area of a trapezoid:

$A_t=\dfrac{b_1+b_2}{2}\cdot h$

b₁, b₂ - bases

h - height

Substitute:

$A_t=\dfrac{15+7}{2}\cdot5=\dfrac{22}{2}\cdot5=(11)(5)=55\ ft^2$

The formula of an area of a rectangle:

$A_r=lw$

l - length

w - width

The dimensions of rectangle l × w

Subtitute:

$A_1=(5)(11)=55\ ft^2\\\\A_2=(15)(11)=165\ ft^2\\\\A_3=(9.4)(11)=103.4\ ft^2\\\\A_4=(7)(11)=77\ ft^2$

The surface area of the figure:

[tex]S.A.=2A_t+A_1+A_2+A_3+A_4\\\\S.A.=2(55)+55+165+103.4+77=510.4\ ft^2[/text]

3 0

3 years ago

I need help on the first question please will mark brainiest

Whitepunk [10]

Answer:

D. $2^{18}$

Step-by-step explanation:

The expression is: $(2^{6}) ^{3}$ * $2^{0}$

For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:

6 * 3 = 18

Now the expression looks like this: $2^{18}$ * $2^{0}$

Any number to the power of zero is 1.

So the equation now looks like this: $2^{18}$ * 1

After you multiply the two terms, you end up with $2^{18}$ .

4 0

2 years ago

Read 2 more answers

The polygon shown is a regular pentagon.

geniusboy [140]

The sum of the measures of all the interior angles of the pentagon is 540°. Option B

<h3>How to determine the sum</h3>

Note that

Sum of Interior Angles in a Pentagon = 540°

A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°

If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°

The sum of the interior angles = 108° + 216° = 540°

Therefore, the sum of the measures of all the interior angles of the pentagon is 540°

Learn more about a pentagon here:

brainly.com/question/4222032

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6 0

2 years ago