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3 years ago

A cement mixture costs $33 a ton. It is composed of Grade A cement at $36 a ton and Grade B cement at

1 answer:

4 0

If we used “a” tons of grade A and “b” tons of grade B we would get a + b tons of mixture.
Converting to costs we get 36a + 24b = 33(a + b)
36a + 24b = 33a + 33b
36a - 33a = 33b - 24b
3a = 9b
a = 3b
This means the mixture contains 3 times as much of grade A than grade B
The ratio of grade A : grade B = 3 : 1

For example if we mixed 3 tons of A with 1 ton of B we would get 4 tons of mixture
The cost would be 3 x 36 + 1 x 24 = 108 + 24 = $132 for 4 tons = $33 per ton

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What is the perimeter of this rectangle?

givi [52]

The perimeter is defined as the sum of all the sides of any polygon.

A rectangle is a polygon with 4 sides and 2 pairs of parallel sides. Therefore, in order to find the perimeter of any rectangle, we can either add up all the sides given to you or use a formula which states that:

P = 2L + 2W
Where,
L is the length of the rectangle and W is the width of a triangle.

For example:
A triangle with length = 5 cm and Width = 3 cm.
The Perimeter will be:
P = 2×5 + 2×3
P = 10 + 6
P = 16 cm

3 0

3 years ago

A delivery to the flower shop is recorded in the chart above. The shop makes centerpiece arrangements using 36 flowers that are

Alchen [17]

Answer:

yes, they will be able to make at least 10 arrangements using each type of flower

no, they will not be able to make 100 arrangements using each type of flower.

Step-by-step explanation:

Explain your thinking: The shop makes arrangements with only the same type of flower. We know that each arrangement requires 36 flowers. By analyzing the data, we can see how many arrangements they can make based on each flower type.

There are 580 tulips - and we need 36 per arrangement

580/36= 16 arrangements of tulips

There are 2,410 daisies

2410/36= 66 arrangements of daisies

There are 4,000 carnations

4,000/36= 111 arrangements of carnations.

Since there are at least 10 arrangements per set of flowers, the first statement is true (we CAN make at least 10 arrangements using each type of flower)

Since there is only 16 arrangements for tulips and 66 for daisies, we CANNOT have at least 100 arrangements per flower type

3 0

3 years ago

30 meter building casts a shadow the distance from the top of the building to the tip of the shadow is 37 M find the length of t

Pavlova-9 [17]

Answer: 22 meters

<u>Step-by-step explanation:</u>

Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters. Use the Pythagorean Theorem to find the base (the length of the shadow).

a² + b² = c²

x² + 30² = 37²

x² = 37² - 30²

x² = 1369 - 900

x² = 469

√x² = √469

x = 21.656

x ≈ 22

3 0

3 years ago

In a warehouse, a group of identical robots fills orders. In 10 minutes, 5 robots can fill 20 orders. If 8 robots worked at that

Alexxandr [17]

Answer:

192 orders

Step-by-step explanation:

All robots are working simultaneously, so each robot takes 10 minutes to do their orders. They are all identical, so they take an equal amount of time to do each order, meaning 20 ÷ 5 = 4. Each robot takes 10 minutes to do 4 orders.

If there are eight robots working for 60 minutes, each robot can make six times as many orders, compared to when they were working for 10 minutes. 4 x 6 = 24. There are eight robots, so 24 x 8 = 192 orders.

7 0

3 years ago

Louis’s bill from dinner at a restaurant is $27.62 before tax. The local tax rate is 7.5%. Louis would like to leave a 20% tip o

shtirl [24]

As Louis is only leaving a 20% tip on the pretax bill, this means he's leaving 20% of $27.62
The best thing to do is to find 10% and double it.
27.62/10= 2.76 (as it rounds down)
2.76*2= 5.52
Therefore, you've got to add $5.52 to $27.62
$5.52+$27.62= $33.14
Hope this helps :)

4 0

3 years ago