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1 year ago

Raymond can paint 5/8 of a wall in 16minutes. How long would it take him to paint 1/3 of a wall?

Mathematics

1 answer:

givi [52]1 year ago

4 0

Answer:

128/15 min or 8.5 min

Step-by-step explanation:

By using unitary method,

Time required to paint 5/8 of wall = 16 min.

Time required to paint 1/1 of wall = 16×8/5

Hence, Time required to paint 1/3 of wall = 16×8/5×1/3

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The Patel family went apple picking. The number of red apples they picked was 2 __ 2 9 times the number of green apples they pic

miskamm [114]

Answer:

100

I first made 45 a fraction = 45/1

Then i made 2 2/9 into an improper fraction

then make my equation

45/1 ×20/9=100

answer is 100 red apples

Step-by-step explanation:

6 0

2 years ago

Fabio and carlos play on a basketball team together. in the last game, fabio had 777 points less than 222 times as many points a

jasenka [17]

For this case, the first thing we must do is define variables.

We have then:

f: number of points that fabio scored.

c: number of points that Carlos scored.

We now write the equation that models the problem:

$f = 2c - 7$

Then, for f = 31 we have:

$2c - 7 = 31$

From here, we clear the number of points:

$2c = 31 + 7$

$2c = 38$

$c = \frac{38}{2}$

$c = 19$

Answer:

The equation to find the number of carlos points is:

$2c - 7 = 31$

Then, Carlos scored:

$c = 19$

5 0

2 years ago

Read 2 more answers

Leo is constructing a tangent line from point Q to circle P. What is his next step?

artcher [175]

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

In the figure attached, the problem is shown. The construction of the tangent lines from point Q to circle P is almost done. The last step is to draw the lines that pass through point Q and the intersection of the circles.

7 0

2 years ago

Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are relat

Margaret [11]

Answer:

a) 23.76%

b) 7.8%

Step-by-step explanation:

a) probability that a failure is due to loose keys.

loose key failure (27%) comes under mechanical failure(88%)

hence, probability that a failure is due to loose keys= 0.27×0.88= 0.2376= 23.76%

b) probability that a failure is due to improperly connected wire which comes under electrical failure = 0.12×0.13

probability that a failure is due to poorly welded wires which comes under electrical failure= 0.52×0.12

now, the probability that a failure is due to improperly connected or poorly welded wires. = 0.12(0.52+0.13)= 0.078= 7.8%

6 0

2 years ago

Read 2 more answers

You have a budget of $48. You want to buy fruit and granola bars. Fruit costs $4 per pound, and the granola bars are $1 each. Yo

zzz [600]

1)Define the variables you will use in your model.

Let

x------->total pounds of the fruit

y-------> the total number of granola bars

TC----> total cost

Tf------> total cost of the fruit

Tg----> total cost of the granola bars

2) Write an inequality representing the total cost of your purchase. (3 points)

a. Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in question 1

Tf=4*x

b. Each granola bar costs $1. Write an expression that shows the total cost of the granola bars. Use the variable you identified in question 1.

Tg=1*y--------> Tg=y

c. Combine the expressions from parts a and b to write an expression for the total cost. Then use this expression to write an inequality that compares the total cost with the amount you have to spend.

TC=Tf+Tg

TC=4*x+y

inequality-------> $4x+y \leq 48$

3. Write the inequality that models the number of granola bars you need to buy.

You need at least 10 granola bars

$y\geq 10$

4. Describe in words what each of your inequalities means

inequality 1

$4x+y \leq 48$

the total cost of fruits plus the total cost of granola bars must be less than or equal to 48 dollars

inequality 2

$y\geq 10$

5. Graph your system of inequalities.

using a graph tool

see the attached figure

6. Identify one point on the graph that represents a viable solution to the problem, and then identify one point that does not represent a viable solution.

Let

A-------> one point on the graph that represents a viable solution

B-------> one point on the graph that does not represent a viable solution

A(4,20)

x=4-------> total pounds of the fruit

y=20------> the total number of granola bars

check point A

substitute the values of x and y in the inequality 1

$4x+y \leq 48$

$4*4+20\leq 48\\ 36\leq 48$ -------> is ok

substitute the values of x and y in the inequality 2

$y\geq 10$

$20\geq 10$ --------> is ok

the point A represents a viable solution, because satisfies both inequalities

B(10,30)

x=10-------> total pounds of the fruit

y=30------> the total number of granola bars

check point B

substitute the values of x and y in the inequality 1

$4x+y \leq 48$

$4*10+30\leq 48\\ 70\leq 48$ -------> is not a viable solution

substitute the values of x and y in the inequality 2

$y\geq 10$

$30\geq 10$ --------> is ok

the point B is not a viable solution because does not satisfy the inequality 1

3 0

1 year ago