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Sergio039 [100]

3 years ago

5

The ratio of the number of text messages sent by Lucas to the number of text messages sent by his sister is 3 to 4. Lucas sent 1

8 text messages. How many text messages did his sister send?

1 answer:

vitfil [10]3 years ago

7 0

Answer:

the answer is 24

Step-by-step explanation:

because if you do 18÷3, it equals 6. then you would do 6×4=24

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A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area o

mote1985 [20]

Height of the kite is = 36 inches.

Width of the kite is = 30 inches

One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .

Now we will use the formula $area=\frac{1}{2}*base*height$ to find the area of each triangle. Then we will add both the areas to find the area of the kite.

Area of 1 triangle = $\frac{1}{2}*36*15$ = 270 square inches

Area of the 2nd triangle is also = 270 square inches

Hence, area of the kite = 270+270 = 540 square inches

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2 years ago

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Q es pentagono. matematicas

Alex17521 [72]

Un pentágono es un paralelogramo cinco caras

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3 years ago

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Divide $1.30 by 8 and round the quotient to the neatest cent.

jasenka [17]

Answer:

1.30/8 = 0.1625

rounded to nearest cent: 0.2?

Step-by-step explanation:

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3 years ago

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Solve Start Fraction one-third over 5 end Fraction = Start Fraction a over 20 End Fraction

Vadim26 [7]

Answer:

ITS C

Step-by-step explanation:

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3 0

3 years ago

g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate

denpristay [2]

Answer

(a)

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

(b)

$A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

$Ax = b$

So, if you know the inverse of $A$ then

$x = A^{-1} b$

For this case

$A = \begin{pmatrix} 15 && 5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12 \end{pmatrix}$

Now for this case the inverse of A would be

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

Then when you multiply with the vector solution

$A^{-1} b = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493} \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

So from that information you can conclude that the solution to the system of equations is x = 500/7 y = 2400/7 and z = 2700/7

7 0

2 years ago