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Gre4nikov [31]
2 years ago
13

Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)

Mathematics
1 answer:
Vladimir79 [104]2 years ago
4 0

Answer:

see photo for detailed analysis

Step-by-step explanation:

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On Saturday, 12 friends go ice skating. Altogether, they pay $83.40 for admission. They share the cost equally. How much does ea
Svetradugi [14.3K]
83.40/12 = 3.95
Each person pays $3.95.
Hope this helps! :D
3 0
3 years ago
Read 2 more answers
One number is 4 more than another. the difference between their squares is 64. what are the numbers
lora16 [44]
We have to set up 2 different equations if we are to solve for 2 unknowns.  The first equation is x = y + 4.  One number (x) is (=) 4 more than another (y + 4).  Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger.  The second equation then is x^{2} - y^{2} =64.  In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation: (y+4) ^{2} - y^{2} =64.  Expand that binomial to get y^{2} +8y+16- y^{2} =64.  Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64.  Solving for y we get that y = 6.  Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!

5 0
3 years ago
Shown here are four frequency distributions. Each is incorrectly constructed. State the reason why.
Tanya [424]

Answer/Step-by-step explanation:

a. The the class width for the 1st, 2nd, 3rd, and 5th row equal 5 in the frequency distribution. Whereas, in the 4th row, the class width is 4 (49 - 45). This makes the construction incorrect.

b. Here, the upper limit of each consecutive class was used as the lower limit if the next class. For example, 9 is a member of the first class, which is the upper limit if the class in the first row, it ought not to be included as a member of the next class in the second row.

c. In the 3rd row, the lower limit of the class should be 133, NOT 138.

d. Different class width were used.

Row 1 class width = 13 - 9 = 4

Row 2 class width = 19 - 14 = 5

Row 3 class width = 25 - 20 = 5

Row 4 class width = 28 - 26 = 2

Row 5 class width = 32 - 29 = 3

8 0
3 years ago
The perimeter of a garden is 88 feet. The length is 12 feet greater than the width. What are the dimensions of the garden
valina [46]

Answer: length = 28 feet

Width = 16 feet

Step-by-step explanation:

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a garden is 88 feet. This means that

2(L + W) = 88

Dividing through by 2, it becomes

L + W = 44 - - - - - - - - - - - -1

The length is 12 feet greater than the width. This means that

L = W + 12

Substituting L = W + 12 into equation 1, it becomes

W + 12 + W = 44

2W + 12 = 44

2W = 44 - 12

2W = 32

W = 32/2

W = 16

L = W + 12 = 16 + 12

L = 28

6 0
3 years ago
You buy a board that measures 120 inches long.
Mama L [17]
Thats 10 feet because there are 12 inches in a foot
6 0
3 years ago
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