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il63 [147K]
2 years ago
6

Point D is on line segment \overline{CE}

Mathematics
1 answer:
ANTONII [103]2 years ago
5 0

Answer:

DE = 18

Step-by-step explanation:

Given that,

Point D is on line segment CE.

DE = x+10, CD=6 and CE=3x

We need to find the length of DE.

ATQ,

CE = CD + DE

Putting all the values,

3x = 6 + x+10

Taking like terms together

3x-x = 16

2x = 16

x = 8

DE = x+10

= 8+10

= 18

Hence, the length of DE is 18.

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A baker made 9 cakes. He cut each cake into 6 slices. How many slices of cake did the baker end up with?
Gnoma [55]

Answer:

54 slices

Step-by-step explanation:

You just multiply 9 by 6

8 0
3 years ago
Daphne has a preloaded games card that she is using to play games at the arcade as shown in the table.
Lubov Fominskaja [6]

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory

6 0
2 years ago
Examples of rates in algebra
lbvjy [14]

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Some examples of rate include cost rates, (for example potatoes cost R16,95 per kg or 16,95 R/kg) and speed (for example, a car travels at 60 km/h). When we calculate rate, we divide by the second value, so we are finding the amount per one unit.

7 0
2 years ago
Angelo is making a rectangular floor for a clubhouse with an area of 84 square feet. The length if each side of the floor is a w
Alexxandr [17]

Answer:

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

Step-by-step explanation:

We are given that

Area of rectangular floor=84 square feet

We have to find the possible length and width of for Angelo's clubhouse.

Area of rectangle=length\times breadth

Using the formula

Area of rectangular floor for clubhouse=84 square feet

Length(L)\times breadth(B)=84

Factor of 84 are

1,2,4,6,7,12,14,21,42,84

Therefore,  possible dimension of rectangular floor

1ft\times 84ft,2ft\times 42ft,4ft\times 21ft,6ft\times 14ft,7ft\times 12ft,12ft\times 7ft,14ft\times 6ft,21ft\times 4ft,42ft\times 2ft,84ft\times 1ft

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

5 0
3 years ago
Why isn’t the maximum ACT score (36) at the 100th percentile?
irga5000 [103]

Answer and Explanations

ACT score percentile help colleges compare students with one another, rather than just looking at everyone’s score. The  score range is between 1 and 36, the highest score that one can receive on the ACT is 36. Moreover, 36 is the perfect score.

The maximum ACT score (36) is that in 2018, only 3,741 students (out of millions of test-takers) scored a perfect 36 on the ACT.  The 99th percentile of test-takers includes those who earn 35 or 34 on the ACT. We can miss up to five questions on the ACT and still earn a 36. That is a reason why the maximum ACT score is 36 at the 100th percentile.

The ACT score report will provide more information about test-taking experience in the form of sub score. The higher the score,  you will get into the colleges of your choice.

5 0
3 years ago
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