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2 years ago

Which words in the sentence are the complete noun clause?

Mathematics

2 answers:

asambeis [7]2 years ago

7 0

C. whoever comes into the house

tester [92]2 years ago

3 0

C. whoever comes into the house

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Pls help. need explanation too pls

FrozenT [24]

Answer:

-3 ≤ x ≤ 13

Step-by-step explanation:

Values on x- axis between -3 and 13 both numbers included:

x = [-3, 13]
-3 ≤ x ≤ 13

5 0

2 years ago

Wasted Water A faucet leaks 1 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128

dimaraw [331]

Answer:

a) 4106.25 gallons

b) $46

Step-by-step explanation:

We are given the following in the question:

Leakage rate of faucet = 1 oz per minute

Cost of water = $11.20 per 1000 gallons

1 gallon = 128 oz

a) water are wasted in a year

1 hour = 60 minutes

1 day = 24 hours

1 year = 365 days

$1\text{ year} = 365\times 24\times 60\text{ minutes}\\1\text{ year} = 525600\text{ minutes}$

Amount of water wasted =

$\text{Leakage rate}\times \text{Time}\\=1 \times 525600\\=525600\text{ oz}\\\\=\dfrac{525600}{128}\\\\=4106.25\text{ gallons}$

Thus, 4106.25 gallons of water is wasted every year.

b) additional money spent

$=\time{Cost}\times \text{Amount of water wasted}\\\\= \dfrac{11.20}{1000}\times 4106.25\\\\=45.99\$ \approx 46\$$

Thus, approximately $46 is the additional money spent on water bill.

4 0

2 years ago

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Damm [24]

The answer:
the two triangles are similar
in addition, the line UV is parallel to line BC, so we can use the theorem of Thales for proving the following ratios:

AV /AC = AU/ AB= UV/ BC
372/589=20x +80 / AB = 444 / 703

so we get (372/589) AB - 80 = 20x, and x = ( (372/589) AB - 80 ) / 20

exact value of x depends on the value of AB

8 0

3 years ago

1 1/2x3 2/3 please help

aliina [53]

Answer:

Exact form: 11/2

Decimal form: 5.5

Mixed number form: 5 1/2

Step-by-step explanation:

7 0

2 years ago

Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the compan

Sav [38]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Width of the sign made by Darius initially = 2 feet

Length of the sign = 2 feet 6 inches

Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.

In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.

Since, 1 feet = 12 inches

Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches

Width of the sign = 2 feet = 2(12) inches = 24 inches

Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.

So, the scale factor would be:

Length of Flyer : Length of Sign

= 10 inches : 30 inches

= 1 : 3

= $\frac{1}{3}$

This shows, the length of flyer is $\frac{1}{3}$ times as that of the sign. So, the scale factor that Darius must use is $\frac{1}{3}$ . The length and width of the flyer are $\frac{1}{3}$ as that of the sign.

The same scale factor would result if we would have used the ratio of widths instead of the lengths.

Scale Factor = Width of Flyer : Width of sign

= 8 : 24

= 1 : 3

Therefore, Darius must type the scale factor of $\frac{1}{3}$ in his computer to get the size of the flyer.

7 0

2 years ago