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3 years ago

6

Sam needs a web designer. Designer A is offering her services for an initial $460 in addition to $100 per hour. Designer B is of

fering her services for an initial $730 in addition to $55 per hour. When will the two designers charge the same amount of money?

1 answer:

arsen [322]3 years ago

7 0

The designers will Charge the same amount at $700. 500+100*2=700 and 600+50*2=700

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Translate this sentence into an equation.

motikmotik

Answer:

g = 61.

Step-by-step explanation:

g + 9 = 70 Subtract 9 from both sides of the equation:

g + 9 - 9 = 70 - 9

g = 61.

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3 years ago

Mandy built a pyramid for her project on Egypt with a volume of 483

emmainna [20.7K]

Answer

We have,

Volume of pyramid = 4834 in³

Base area of the pyramid = ?

Assuming height of the pyramid = 20 in

We know that

Volume of pyramid = $\dfrac{hlw}{3}$

$4834=\dfrac{20\time lw}{3}$

l w = 725.1 in²

Hence, area of the base of the pyramid is equal to 725.1 in².

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3 years ago

)The ratio of X's to O's is 15 over 10. . Use the image below to determine another ratio for X's to O's: Image with 15 Xs and 10

luda_lava [24]

Answer:

2:3

Step-by-step explanation:

The common factor between 10 and 15 is 5.

5 goes into 10 twice and 15 three times.

$\frac{15}{10}$ ÷ $\frac{5}{5} = \frac{2}{3}$

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2 years ago

(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar

EastWind [94]

Answer:

$x=\frac{-363}{70}$ ≈ -5.1857

$y=\frac{-192}{35}$ ≈ -5.4857

$z=\frac{313}{84}$ ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

$6x+8y=-75$

$-3x+6y+6z=5$

$2x-9y=39$

Now, write the system in its augmented matrix form:

$\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]$

applying row reduction process to its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]$

R3+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]$

3R2+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]$

15R3+20R2

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]$

Now we have a simplified system:

$-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565$

$-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)$

From (3):

$z=\frac{313}{84}$ (4)

Replacing (4) in (2)

$y=\frac{-192}{35}$ (5)

Finally replacing (5) and (4) in (1)

$x=\frac{-363}{70}$

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3 years ago

What is measure of angle KJL

Xelga [282]

Answer:

7x - 8.

Step-by-step explanation:

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3 years ago