The answer to question 34:
Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.
So the total gravel and much is equal to x + 27/16x = 172
Solving for 'x'
43/16 x = 172
x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds
The answer to question 35:
A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.
B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.
K(cannot equal (the = sign with the line through it) -2
k(=/)-2
Answer:
Options (B) and (D)
Step-by-step explanation:
If two triangles have the same size and shape they are said to be congruent triangles.
Triangles given in the attachment,
Triangles A and E appear to be congruent.
And triangles C and F appear to be congruent.
[Since corresponding sides of these triangles don't appear to be the same in measure]
Remaining triangles B and D do not appear to be congruent.
Therefore, Options (B) and (D) will be the answer.
Answer:
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Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 9-3) / ( 2-2)
= 6/0
When we divide by zero, the result is undefined
This means the slope is undefined
Answer: The Length of the rectangle is 18 feet.
The width is 8 feet
Step-by-step explanation: Perimeter is 2w + 2L
Length here is <u>2w + 2</u> Substitute this value for L in the equation.
P = 2w + 2L
52 = 2w + 2(2w + 2) distribute and add
52 = 2w + 4w + 4
52 = 6w + 4 Subtract 4 from both sides, Then divide both sides by 6 to solve for w
48 = 6w
8 = w <u>The width is 8 ft</u>
Substitute into the original expression for Length
Length here is <u>2w + 2</u> : 2(8) + 2 16 + 2 = 18
<u>The Length is 18 feet.</u>
<u>Check:</u> in the original equation P = 2w + 2L
52 = 2(8) + 2(18)
52 = 16 + 36 TRUE!
