Penny had $117, which is 9 times as much money as Kari had. How much money did Kari have?

4(50) +3r = 365

200+3r = 365

3r =165

r = 165/3

r = 55

Answer:  

[tex]\displaystyle\frac{35}{45}, \frac{49}{63}[/tex] are two equivalent fractions of the given fraction.

Step-by-step explanation:

We are given the following information in the question:

We are given the fraction:

[tex]\displaystyle\frac{7}{9}[/tex]

We have to find an equivalent fraction. This could be done by multiplying both the numerator and the denominator by the same number.

Equivalent fraction:

Multiplying both numerator and denominator by 5

[tex]\displaystyle\frac{7\times 5}{9\times 5} = \frac{35}{45}[/tex]

Multiplying both numerator and denominator by 7

[tex]\displaystyle\frac{7\times 7}{9\times 7} = \frac{49}{63}[/tex]

Hence, [tex]\displaystyle\frac{35}{45}, \frac{49}{63}[/tex] are two equivalent fractions of the given fraction.

They take 3 hours to complete the work together.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

An experienced bricklayer can construct a small wall in 4 hours.

And, An apprentice can complete the job in 12 hours.

Now,

Since, An experienced bricklayer can construct a small wall in 4 hours.

Hence, In 1 hour it will be completed 1/4 work.

And, An apprentice can complete the job in 12 hours.

So, In 1 hour it will be completed 1/12 work.

Let number of hour to complete the work together = x

in 1 hour both together completed 1/x work.

So, we can formulate;

1/4 + 1/12 = 1/x

Solve for x;

3/12 + 1/12 = 1/x

4/12 = 1/x

1/3 = 1/x

x = 3 hours.

Thus, They take 3 hours to complete the work together.

Learn more about the expression visit:

https://brainly.com/question/4344214

#SPJ2

The game which is 2.2 GB will need 170 minutes to download at a rate of 0.01 GB per minute. But the computer has only 120 minutes of battery life which is insufficient.

The total size of the game is 2.2 GB. The part that is already downloaded is 0.5 GB, so the remaining size of the game to be downloaded is 2.2 GB - 0.5 GB = 1.7 GB. Now, since the downloading speed is 0.01 GB/minute, we extrapolate the remaining time as (1.7 GB) / (0.01 GB/min) which equals 170 minutes.

(a) So, the inequality representing at least how many minutes it will take to download the rest of the game is x ≥ 170, where x is the required time in minutes.

(b) Two hours of battery life is equivalent to 2*60 = 120 minutes. Since 170 minutes is required to download the game and the available battery life is only 120 minutes, the battery will not be enough to download the game.

https://brainly.com/question/29411956

#SPJ12

Answer:

Option C - Dependent because when the first flower is taken, it affects the ratio of the types of flowers in the vase.

Step-by-step explanation:

Given : A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations.

One flower is chosen at random and given to a woman for her to keep.

Another flower is then chosen at random and given to a different woman for her to keep. Both women received a pink rose.

To find : Are these events independent or dependent?

Solution :

According to the statements,

The probability that the second woman receives a pink rose is dependent upon what the first woman receives.

Total flowers = 5+4+6=15

If the first woman does not receive a pink rose,

Then, the probability of the second woman receiving one is [tex]\frac{4}{15}[/tex]

If the first woman does receive a pink rose

Then, the probability of the second woman receiving one is  [tex]\frac{3}{15}=\frac{1}{5}[/tex]

Therefore, Option C is correct.

Dependent because when the first flower is taken, it affects the ratio of the types of flowers in the vase.

3. P(Y | X) = P(Y) and 6. P(X | Y) = P(X)

volume of the center sphere = 4/3*PI*r^3

r = 3 ( given in the picture)

 so 4/3 * 3.14 *3^3 = 113.04 cubic feet

 volume of 1 cone: pi *r^2 *h/3

r = 3 and h=3 ( given in the picture)

so 3.14 * 3^2 * 3/3 = 28.26 cubic feet

 there are 4 cones so 28.26* 4 = 113.04 cubic feet

113.04 + 113.04 = 226.08 cubic feet

 rounded to nearest cubic foot = 226 cubic feet

Answer:

FOR ALL THOSE LAZY PPL, HERE'S THE ANSWER....

22 units.

Have a nice day mates.

The equation 10x+5y=5 can be rewritten in slope-intercept form as y = -2x + 1. This equation's slope is -2 and the y-intercept is 1. The line intercepts the y-axis at (0,1) and for every 1 unit increase in x, y decreases by 2 units.

To write the equation 10x+5y=5 in slope-intercept form, you need to solve for y. The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

First, divide the entire equation by 5 to simplify it:

(10x+5y)/5 = 5/5 becomes 2x + y = 1.

Then, solve the equation for y:

y = -2x + 1

The slope (m) of the equation is -2 and the y-intercept (b) is 1. Therefore, the line intercepts the y-axis at the point (0,1) and for every 1 unit increase in x, y decreases by 2 units due to the negative slope.

To graph this line, first plot the y-intercept at the point (0,1). Next, from this point, move right 1 unit (increase in x) and down 2 units (decrease in y) to get the point (1,-1). Draw a straight line through these points to represent the equation y = -2x + 1.

https://brainly.com/question/29146348

#SPJ3

Lisa can either sell 100 hard candies or 50 chocolate to make $300.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Lisa wants to make at least $300.00 selling candy. Hard candy cost $3.00 per piece and chocolates cost $6.00 per piece.

Establishing the equation for this problem.

Let,

Hard candy = x

Chocolate = y

Therefore,

3x+6y=300

To find y, let x=0

3(0)+6y =300

6y = 300

y = 50

Similarly,

To find x, put y=0

3x+6(0)=300

3x=300

x=100

Hence, Lisa can sell 100 hard candies or 50 chocolate to make $300.

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ5

Answer:

The x intercepts are -4, -1 and 5 or (-4,0), (-1,0) and (5,0).

Step-by-step explanation:

Consider the provided graph.

Here we need to find the x intercepts of the function.

The x-intercepts are where the graph crosses the x-axis.

Here, the  provided graph crosses the x axis 3 times.

Thus there must be 3 x intercepts of the function.

Now label the points on which graph intersect the x axis as shown in figure 1.

Thus the labeled points are (-4,0), (-1,0) and (5,0)

Hence, the x intercepts are (-4,0), (-1,0) and (5,0) or -4, -1 and 5.

Answer:

The y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].

Step-by-step explanation:

The interception points with the axes can be foun by making zero one variable.

If you wanna find y-interception, we must make x = 0.

If you wann find x-interception, we must make y = 0.

The given function is

[tex]y=\frac{1}{4}x-2[/tex]

For [tex]x=0[/tex], we have

[tex]y=\frac{1}{4}(0)-2\\y=-2[/tex]

For [tex]y=0[/tex], we have

[tex]y=\frac{1}{4}x-2\\0=\frac{1}{4}x-2\\2=\frac{1}{4}x\\x=8[/tex]

Therefore, the y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].

The image attached show this.

The tip for the cab is close to 10 percent is around $2.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A cab ride from the airport to your home costs $19.50.

Now, The tip given is 10% of the fare so,

= (10/100)×19.50.

= 0.1×19.50.

= 1.95.

So, The exact tip would be $1.95 which is approximately $2.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ5

Using formula:

Using the first image to calculate the area:

[tex]\to \bold{ x\times 12 = 12x }[/tex]

Using the second image to calculate the area:

[tex]\to \bold{16\times (x-2) = 16x -32 }[/tex]

equalling both the area:

[tex]\to \bold{12x = 16x -32}\\\\\to \bold{32 = 16x -12x}\\\\\to \bold{32 = 4x }\\\\\to \bold{4x=32 }\\\\\to \bold{x=\frac{32}{4}}\\\\\to \bold{x=8}\\\\[/tex]

Learn more:

Find x: brainly.com/question/22188924

Answer:

y = 2

Step-by-step explanation:

When we have graph is given also one value from x and y is given then for finding the other value, We simply see the line where x = -2 is graphed and then we will see what is the value of y there.

Here at x = -2, y = 2 this is clearly apparent from the graph.

With a diameter of 12mm and using π as 3.14, the circumference is calculated as 37.68mm.

The circumference of a circle can be calculated using the formula:

Circumference = π x diameter

Given: Diameter = 12mm

Using π = 3.14:

Circumference = 3.14 x 12mm = 37.68mm

Therefore, the circumference of the circle is 37.68mm.

Answer:

3(3+4a)(1-2a)

Step-by-step explanation: