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weeeeeb [17]
3 years ago
11

On Monday, Sarah has to meet her friend at the park after school. The distance from her house to school is 2x+5. The distance fr

om the school to the park is at. If the total distance she walks that day is 10x +9 how far is
et from the park back to her house? The graphic below is not drawn to scale
Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

26

Step-by-step explanation:

X= Variable has the worth of zero

2x+5= 7

10x+9= 19

19+7=26

The distance is 26

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Graph the image of the given triangle under a dilation with a scale factor of –4 and center of dilation (0,0).
Dvinal [7]

Step-by-step explanation:

Hey there!

The coordinates of a triangle are;

  • A (1,2)
  • B (1,-2)
  • C (-2,-2)
  • Scale factor = -4 and centre at (0,0)

Now, We have;

P(x,y)----------- P'(kx, ky)

<u>Keep</u><u> </u><u>formula</u><u>;</u>

<u>A</u><u>(</u><u>1</u><u>,</u><u>2</u><u>)</u><u>----------</u><u> </u><u>A'</u><u>(</u><u>-4</u><u>×</u><u>1</u><u> </u><u>,</u><u>-4</u><u>×</u><u>2</u><u>)</u>

= A'(-4, -8)

B(1,-2)------------- B'(-4,8)

C(-2,-2)-------------C'(8,8)

[ <u>The</u><u> </u><u>A'</u><u> </u><u>should</u><u> </u><u>be</u><u> </u><u>kept</u><u> </u><u>in</u><u> </u><u>(</u><u>-4</u><u>,</u><u>-</u><u>8</u><u>)</u><u>.</u><u> </u><u>There</u><u> </u><u>was</u><u> </u><u>no</u><u> </u><u>place</u><u> </u><u>in</u><u> </u><u>this</u><u> </u><u>graph</u><u> </u><u>so</u><u>,</u><u> </u><u>i</u><u> </u><u>kept</u><u> </u><u>it</u><u> </u><u>just</u><u> </u><u>below</u><u> </u><u>-7</u><u>.</u><u> </u><u>Please</u><u> </u><u>while</u><u> </u><u>plotting</u><u> </u><u>remember</u><u> </u><u>to</u><u> </u><u>keep</u><u> </u><u>it</u><u> </u><u>on</u><u> </u><u>"</u><u>-8"</u><u>.</u><u>]</u>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Jackson has a rope 1 foot 8 inches long. He cuts it into 4 equal pieces. How many inches long is each piece?
mote1985 [20]
1 foot  8 inches.

1 foot = 12 inches.

1 foot  8 inches = 1 foot + 8 inches = 12 inches + 8 inches = 20 inches.

He cuts into 4 equal pieces.

=  20 / 4

= 5 inches.

<span>Each piece would be 5 inches long.</span>
5 0
3 years ago
The captain of a boat knows that a lighthouse on the coast is 100 ft
Tatiana [17]

Answer:

Height of the light house =7.5\ feet

Step-by-step explanation:

Distance of light house from boat = 100 ft

Angle of elevation from boat to the top of light house = 2°

Height above water while taking measurement = 4 ft

The figure of the situation is shown below.

For Δ ABC

\tan2\°=\frac {AB}{BC}

\tan2\°=\frac {AB}{100}

0.035=\frac {AB}{100}

Multiplying both sides by 100.

100\times 0.035=100\times\frac {AB}{100}

3.5=AB

∴ AB=3.5

Height of the light house =3.5+4=7.5\ feet

3 0
3 years ago
200 grams of fertilizer are used for each tree in an orchard containing 1200 trees. at $2.75 per kilogram of fertilizer, how muc
stiks02 [169]
To determine the cost to fertilize the trees, you need to figure out how many kilograms of fertilizer are needed. With the information given, you can determine The number of grams needed to fertilize 1200 trees. To do this you would multiply 200 times 1200. This equals 240,000 grams. To convert this to kilograms, divide 240000g by 1000 g. Every group of 1000 g is 1 kg. The answer is 240 kilograms. Multiply 240 kg by the price of $2.75 per kilogram to get $660 as the cost.
4 0
3 years ago
Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t
Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x 1.025^n, where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0
3 years ago
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