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3 years ago

-45 = -9w PLS HELPPPPPPPPPPPP its multipication btw

Mathematics

1 answer:

Dafna1 [17]3 years ago

4 0

Answer: w=5 .

Step-by-step explanation: divide -9 on both sides which gives you 5 .So w=5 .

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On a road trip, you drive about 70 miles per hour and your friend drives about 60 miles per hour. The plan is to drive less than

lord [1]

Answer: The answer is 0 hours and 10 hours.

Step-by-step explanation: Given that me and my friend are on a road trip. My speed is 70 miles per hour and my friend's speed is 60 miles per hour. Our plan is to drive less than 15 hours and at least 600 miles each day.

Also, my friend will drive more hours than me.

Let, 'x' and 'y' be the number of hours drove by me and my friend respectively. Then, according to the given information, we have the following inequalities.

$y>x,\\\\x+y$

When we plot these inequalities in a graph paper, we can see in the attached figure, where the common shaded region gives the solution set, one of the solution is point 'P', given by

x = 0 and y = 10.

This solution satisfy all the three conditions given above.

Thus, one of the solution is - I will drive for 0 hours and my friend will drive for 10 hours.

8 0

3 years ago

Item 15The entrance of a tunnel can be modeled by y=−11/50(x−4)(x−24), where x and y are measured in feet. The x-axis represents

Evgen [1.6K]

Answer:

The with of the tunnel at the ground level is 20 feet

Step-by-step explanation:

The equation that model the entrance of the tunnel is y = -11/50(x - 4)(x - 24)

Where the dimensions of 'x' and 'y' are in feet and the x-axis represent the ground level

The y-axis represent the height, and the equation is a quadratic equation with the shape of an upside down parabola to represent the shape of the entrance to the tunnel

The two coordinates of the parabola at the ground level (where y = 0)

of the tunnel entrance from which we can find the width by subtraction are given when y = 0 as follows;

y = 0 = -11/50(x - 4)·(x - 24)

∴ (x - 4)·(x - 24) = 0/(-11/50) = 0

When (x - 4)·(x - 24) = 0, x = 4, or x = 24

The coordinates at the ground corners of the tunnel entrance are therefore;

(4, 0), and (24, 0)

The with of the tunnel at the ground level is equal to the width of the parabola at the x-axis, which is given as follows;

The width of the parabola at the x-axis = Distance between points (4, 0), and (24, 0)

∴ The width of the parabola at the x-axis = √((0 - 0)² + (24 - 4)²) = √(24 - 4)² = 24 - 4 = 20 (distance between points having the same y-coordinates)

The width of the parabola at the x-axis = 20 ft. = The with of the tunnel at the ground level

∴ The with of the tunnel at the ground level = 20 feet.

8 0

3 years ago

This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more

BabaBlast [244]

Answer:

$0.10d + 0.25q > 143.88$

Step-by-step explanation:

Let the total dimes collected be d.

$1\ dime = \$0.10$

$d\ dimes = \$0.10d$

Let the total quarters collected be q.

$1\ quarter = \$0.25$

$q\ quarters = \$0.25q$

$Last\ Year = \$143.88$

Required

Represent as an inequality

The total collection, this year, can be represented as:

$Total = 0.10d + 0.25q$

From the question, we understand that:

This year's collections is expected to be greater than last year's

This can be represented as:

$Total > Last\ Year$

Substitute in the right values:

$0.10d + 0.25q > 143.88$

4 0

3 years ago

Susan drove 385 miles in 7 hours.

photoshop1234 [79]

Answer:

11hrs.

ur hawt

7 0

3 years ago

Suppose you are depositing an amount today in an account that earns 5% interest, compounded annually. If your goal is to have $5

Natalka [10]

Answer:

If you walk into a bank and open up a savings account you will earn interest ... include the amount of money deposited called the principal, the annual interest rate ...

3 0

3 years ago

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