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3 years ago

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Shane and Nigel’s recipe for sweet potato pie calls for 1.5 lbs of sweet potatoes. The other ingredients are staples that cost $

10.52 year-round. Use this information to complete the chart below.

1 answer:

BartSMP [9]3 years ago

8 0

Answer:

Where's the chart?

Step-by-step explanation:

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A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o

katen-ka-za [31]

Answer:

Oil: 10.5 oz Vinegar: 3.5 oz

Step-by-step explanation:

If the amount of vinegar is the variable x than the amount of oil is 3x. this means that x+3x=14 or 4x=14. Which means x=3.5 so vinegar is 3.5 while oil is three times that or 10.5.

8 0

2 years ago

Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does

Reil [10]

The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3 cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.

8 0

2 years ago

Find the ratio in simplest form.<br><br> 30:6<br><br> A. 1:5<br> B. 4:1<br> C. 5:1

nekit [7.7K]

ANSWER

The simplest form of the ratio
$30:6$
is

$5:1$

EXPLANATION

The ratio given to us is
$30:6$

We can divide each term in ratio by the same number.

To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
$6.$

This implies that,

$30:6 = \frac{30}{6} : \frac{6}{6}$

We simplify this to obtain,

$30:6 = 5: 1$

The correct answer is C.

Alternatively,

$30:6 = \frac{30}{6}$

$30:6 = \frac{5}{1}$

This implies that,

$30:6 = 5:1$

6 0

3 years ago

Read 2 more answers

Factor the expression using the GCF 21+15

Svet_ta [14]

Answer:

3(7+5)

Step-by-step explanation:

21+15

Each term is divisible by 3

3*7 +3*5

3(7+5)

6 0

3 years ago

The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2). Two triangles

Usimov [2.4K]

Answer:

The scale factor is -1/4.

Step-by-step explanation:

5 0

2 years ago