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schepotkina [342]
3 years ago
12

Dewayne and Julio are training for a bicycle race. They left from the same

Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

45 = r-10

Step-by-step explanation:

After 2 hours, distance apart is 90 miles

Julio's average speed = 10 miles per hour slower than

Dewayne's

Lets assume Dewayne's average speed to be : r miles per hour

So ;

Julio's speed will be : r - 10 miles per hour

The formula for average speed is : distance covered/ time taken

For Dewayne's speed it will be : 90/2 = r-10 -----the equation

45 = r-10

45-10 = r

35 mph = r

Thus Dewayne's rate is 35 mph and Julio's rate is 35-10 = 25 mph.

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Katy and Jane construct a four-sided wall to surround their castle. The wall has a perimeter of
PilotLPTM [1.2K]

Answer:

The correct length is <em>34 feet</em>.

Step-by-step explanation:

Let us assume that the wall created is a rectangle <em>ABCD</em> as shown in the attached image.

We know that opposite sides of a rectangle are equal.

<em>Perimeter</em> of a <em>closed figure is calculated by adding all the sides of the figure</em>.

Here, from the figure, the perimeter is : AB + BC + CD + DA

AB and CD are equal to length.

BC and DA are equal to width.

So,

Perimeter = 2 \times (length + width) ....... (1)

Here, we are given that <em>perimeter </em>is 100 feet and <em>width</em> = 16 feet

Putting values in equation (1):

100 = 2 \times (16 + length)\\\Rightarrow 50 = 16 + length \\\Rightarrow length = 34 feet

Hence, length is 34 feet.

5 0
4 years ago
Barry's deck of cards contains 40 blue cards and 60 red cards max's deck of cards contains the same number of blue cards but the
Rudiy27

Max's deck also has 40 blue cards, and for every 5 blue cards in his deck there are 9 red cards. His blue cards can be divided exactly into 8 groups (8 times 5 is 40), so he should also be able to divide his red cards into exactly 8 groups of 9 cards each. So there are 72 red cards in his deck (8 times 9 is 72).

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4 years ago
The price paid<br> for a $83.50<br> chair with an 8%<br> sales tax<br> What is the sale tax
8090 [49]

Answer:

$6.68

Step-by-step explanation:

83.50(0.08) = 6.68

5 0
3 years ago
Read 2 more answers
Need help with this math problem
ladessa [460]

Answer:

m<1: 51

m<2: 61

m<3: 29

Step-by-step explanation:

m<1 = 51, because to find the 3rd angle, you need to add the other two angles and then subtract 180 from that answer.

61 + 68 = 129

180 - 129 = 51

m<2 = 61, because it's a vertical angle, meaning that the angle that's opposite to it exactly, is the same. So since the angle opposite to m<2 is 61, that's what the answer would be.

m<3 = 29, because all you need to do is add 90 and 61, and then subtract 180 by the answer. I got 90 as one of the angle measurements because there's a right triangle, meaning it's 90. Then since we already know what angle 2 is (61) then all you need to do is add:

90 + 61 = 151

Then subtract:

180 - 151 = 29

8 0
4 years ago
How does soil texture determine soil fertility
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Important physical properties that affect fertility include soil structure and texture. Structure is the amount of aggregation and pores in soil and texture is the proportion of clay and sand particles in soil. Both affect soil fertility by affecting water movement through soil, root penetration and water logging.
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