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Rasek [7]
2 years ago
12

Select the statement that best justifies the conclusion based on the given information.

Mathematics
1 answer:
CaHeK987 [17]2 years ago
8 0

9514 1404 393

Answer:

  c. If a plane contains a line, it contains the points on the line.

Step-by-step explanation:

The only statement relating a point on a line to the plane containing the line is the one shown above.

_____

<em>Additional comment</em>

Identifying true statements is a reasonable strategy for many multiple-choice questions. Another strategy that can be employed is finding the one true statement that is <em>relevant to the question being asked</em>.

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If the discount is 30% and the sale price is $206.50 what is the original price
maxonik [38]

let's say the original price is "x", so that'd be the 100%.

and we know that is discounted by 30%, 100% - 30% = 70%, we know the discounted price is 206.50, so namely 206.50 is the 70% then.

if 206.50 is 70% of "x", what is "x"?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 206.50&70\\ x&100 \end{array}\implies \cfrac{206.50}{x}=\cfrac{70}{100}\implies \cfrac{206.50}{x}=\cfrac{7}{10} \\\\\\ 2065=7x\implies \cfrac{2065}{7}=x\implies 295=x

7 0
3 years ago
An ice cream factory makes 330 quarts of ice cream in 5 hours. How many quarts could be made in 36 hours? What was that rate per
katrin2010 [14]
Here just look on this sheet it should help .

8 0
2 years ago
A circle has its center at the center of a square with 26-inch sides. Using 3.14 for pi, find the area of the square not covered
AlladinOne [14]
For squrae
area=side²
perimiter=4(side)

for circle
area=pir²
circumference=2pir

side=diameter, diameter/2=radius=side/2


find area not covered
that is areasquare-areacircle
areasquare=26²=676 sqauare inches
areaciecle, diameter=side, 26/2=13, area=pi13²=169*3.14=530.66 square inches

areanotcovered=676-530.66=145.34 square inches not coverd


ratio of perimiter to circumferece
perimiter=4*26=104
circumference=2pir=2pi13=26pi=26*3.14=81.64
circumference to perimiter is 81.64/104=0.785

7 0
3 years ago
Read 2 more answers
Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length
juin [17]

Answer:

110 feet

Step-by-step explanation:

Given that,

Length of the rectangular garden = 9 1/4 feet = 37/4 feet

Width of the rectangular garden = 4 1/2 feet = 9/4 feet

We need to find the total length of fencing Mark needs to surround all 4 gardens.

The length for 1 garden = perimeter of the garden

The length for 4 garden = 4×perimeter of the garden

= 4×2(l+b)

=8(l+b)\\\\=8(\dfrac{37}{4}+\dfrac{9}{2})\\\\=8\times 13.75\\\\=110\ \text{feet}

Hence, 110 feet is the total length of the fencing Mark needs to surround all 4 gardens.

5 0
3 years ago
Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4
Charra [1.4K]
<h3>Jason bought 20 stamps of $0.41 each and 8 postcards of $0.26 each.</h3>

<em><u>Solution:</u></em>

Let stamps be s and postcards be p

Given that,

The number of stamps was 4 more than twice the number of postcards

s = 4 + 2p -------- eqn 1

Jason bought both 41-cent stamps and 26-cent postcards and spent $10.28

41 cent = $ 0.41

26 cent = $ 0.26

Therefore,

s \times 0.41 + p \times 0.26 = 10.28

0.41s + 0.26p = 10.28 --------- eqn 2

Substitute eqn 1 in eqn 2

0.41(4 + 2p) + 0.26p = 10.28

1.64 + 0.82p + 0.26p = 10.28

1.08p = 10.28 - 1.64

1.08p = 8.64

Divide both sides by 1.08

p = 8

Substitute p = 8 in eqn 1

s = 4 + 2(8)

s = 4 + 16

s = 20

Thus Jason bought 20 stamps and 8 post cards

8 0
3 years ago
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