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3 years ago

An artist has completed 1/14 of a painting in 2 weeks. At what rate is she working?

Mathematics

1 answer:

joja [24]3 years ago

6 0

Answer:

Rate = 0.035 per weeks

Step-by-step explanation:

Given that,

An artist has completed 1/14 of a painting in 2 weeks.

We need to find the rate at which she is working. Let the rate is R. It can be calculated by dividing part that is completed and time.

$R=\dfrac{\dfrac{1}{14}}{2}\\\\R=0.035\ \text{per weeks}$

Hence, her rate is 0.035 per weeks.

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Jonathan sold five times as many computers as Joe sold last year. In total,

Rom4ik [11]

Answer:

Step-by-step explanation:

Let the number of computers sold by Joe be represented by variable X

If Jonathan sold 5 times as many computers , it means he sold 5 times X= 5X

Total number of computers sold by both Jonathan and Joe = 78

Hence, X+5X =78

= 6X = 78

Divide both sides by 6 to solve for X;

X = 78/6

X = 13

And 5X = (5* 13) = 65

Therefore, Jonathan sold 65 computers while Joe sold 13

3 0

3 years ago

In a certain country, the car license plate formed by 4 numbers from the digits 1-9 followed by 3 letters from the alphabet. How

andriy [413]

Answer:

78,624,000 license plates

Step-by-step explanation:

For each of the 4 numbers, we have the following possibilities:

First number: 10 digits possible

Second number: 9 digits possible (one used)

Third number: 8 digits possible (two used)

Fourth number: 7 digits possible (three used)

For each of the 3 letters, we have the following possibilities:

First letter: 26 digits possible

Second letter: 25 digits possible (one used)

Third letter: 24 digits possible (two used)

The total number of license plates is the product of all these possibilities:

Number of plates = 10 * 9 * 8 * 7 * 26 * 25 * 24 = 78,624,000 license plates

7 0

3 years ago

Megan and Rosa are throwing sandbags during a workout. Megan's farthest throw measured 8.9 meters. Rosa's farthest throw measure

ankoles [38]

10.05-8.9=1.15. Rosa threw it 1.15 meters farther than Meghan

6 0

3 years ago

HELPPP!!! help me for a brainliest!

Radda [10]

=5^6/5^4

=5^(6-4)

=5^2 ANSWER..

8 0

3 years ago

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

Step-by-step explanation:

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0

3 years ago