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ANEK [815]
3 years ago
5

Mai skated x miles, and Clare skated 35 3 5 farther than that. Write an equation to represent the relationship between the dista

nce Mai skated (x) and the distance Clare skated (y). BoldItalicUnderline
Mathematics
2 answers:
Sindrei [870]3 years ago
4 0

Answer:

y = \frac{3}{5} + x

Step-by-step explanation:

Given

Represent Mai's distance as x and Clare's distance as y

Mai = x\ miles

C = \frac{3}{5} farther than Mai

Required

Determine the relationship between both

C = \frac{3}{5} farther than Mai

Substitute x for Mai

C = \frac{3}{5} farther than x

Express as a mathematical expression:

C = \frac{3}{5} + x

Recall that Clare's distance is represented by y.

So, we have:

y = \frac{3}{5} + x

Hence, the relationship is: y = \frac{3}{5} + x

Evgesh-ka [11]3 years ago
4 0

Answer: Mai skated x miles, and Clare skated 3/5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).

Step-by-step explanation:

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23 inches is what fraction of a yard
joja [24]

Answer:

0.6

Step-by-step explanation:

1 inch = 0.0278

so 23 inches = 0.6 yard

6 0
3 years ago
Listed below are amounts of​ strontium-90 (in​ millibecquerels, or​ mBq) in a simple random sample of baby teeth obtained from r
Alenkinab [10]

Answer:

The 5-number summary is maximum= 175, minimum=126, median=150, Q₁=138 and Q₃=160.5.

Step-by-step explanation:

The given data set is

126, 128, 131, 135, 136, 140, 143, 145, 147, 148, 152, 154, 155, 156, 159, 162, 164, 166, 169, 175

The minimum value of the data is 126 and the maximum value of the data is 175.

Divide the data in two equal parts.

(126, 128, 131, 135, 136, 140, 143, 145, 147, 148), (152, 154, 155, 156, 159, 162, 164, 166, 169, 175)

The median of the data is

Median=\frac{148+152}{2}=150

Now divide each parenthesis in two equal parts.

(126, 128, 131, 135, 136), (140, 143, 145, 147, 148), (152, 154, 155, 156, 159), (162, 164, 166, 169, 175)

Q_1=\frac{136+140}{2}=138

Q_3=\frac{159+162}{2}=160.5

Therefore the 5-number summary is maximum= 175, minimum=126, median=150, Q₁=138 and Q₃=160.5.

8 0
4 years ago
Calculate the volume of a cylinder of height 7 cm and radius 4 cm (take π)​
belka [17]

Answer:

351.68

Step-by-step explanation:

v=\pir^2h

v= 3.14(4)^2(7)

v= 3.14(16)7

v= 3.14 times 112

v=351.68

hope this helps

4 0
3 years ago
The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all p
jeka57 [31]

Answer:

K = -1 or -2

Step-by-step explanation:

Given the equation of parabola is, y = 0.5(x-3)(x+k).

Finding y-intercept, put x=0 and solve for y :-

y = 0.5(0-3)(0+k)

y = 0.5(-3)(k)

y = -1.5k

Finding x-intercepts, put y=0 and solve for x :-

0 = 0.5(x-3)(x+k)

(x-3)(x+k) = 0

x = 3 OR x = -k

So, the coordinates of triangle ABC are:-

A(0, -1.5k), B(3, 0), and C(-k, 0)

Assuming origin O(0,0), find the area of triangle ABC:-

Area = (1/2) * BC * OA

Area = (1/2) * (k+3) * (1.5k)

But given the area is 1.5 square units.

So, (1/2) * (-k-3) * (1.5k) = 1.5

(1/2) * (-k-3) * (k) = 1

k(-k-3) = 2

-k² -3k -2 = 0

k² +3k +2 = 0

k² +2k +k +2 = 0

(k+2)(k+1) = 0

So, k = -1 or k = -2

7 0
3 years ago
Read 2 more answers
(geometry) please look at attached image and help me with this question!
julsineya [31]

Answer:

  m∠AEC = 139°

Step-by-step explanation:

To make the equations easier to write, let's say all measures are in degrees, and define ...

  p = m∠AEB = 11x -12

  q = m∠CED = m∠CEB = 4x +1

Then ...

  p + 2q = 180

  (11x -12) + 2(4x +1) = 180

  19x -10 = 180 . . . . . . . . . . . . collect terms

  19x = 190 . . . . . . . . add 10

  x = 10 . . . . . . . . . . . divide by 19

  p = 11x -12 = 110 -12 = 98

  q = 40 +1 = 41

The angle of interest is ...

  m∠AEC = p +q = 98 +41

  m∠AEC = 139 . . . . degrees

8 0
3 years ago
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