lesson 7 homework practice convert measurment unit

Using division and a visual method, it is calculated that Gina has 71 quarters, given she has a total of $17.75.

Gina has $17.75 and since each quarter is worth $0.25, we need to find out how many quarters make up this amount. First, using division we have 17.75 ÷ 0.25 = 71. Therefore, Gina has 71 quarters.

The second method is a more visual and explanatory one. Since each quarter is 25 cents, four quarters make up a dollar. Therefore, if we have $17, that directly translates to 17 x 4 = 68 quarters. We also have 75 cents left which correspond to another 3 quarters (75 ÷ 25 = 3). Adding these together gives us 68 + 3 = 71 quarters. So, either way, Gina has 71 quarters.

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The height of the rectangular prism chest is approximately  34.93 units, calculated using the volume and base area formulas for rectangular prisms.

To find the height of the rectangular prism chest, we can use the formula for the volume of a rectangular prism, which is given by the product of its length, width, and height. Let's denote the height of the chest as h the length as l , and the width as w.

Given that the volume of the chest is 524 cubic units and the base area (length times width) is 15  square units, we have two equations:

1. [tex]\( l \times w \) (base area) \( = 15 \)[/tex] square units,

2. [tex]\( l \times w \times h \) (volume) \( = 524[/tex]) cubic units.

From the first equation, we can solve for one variable in terms of the other. Let's solve for l  in terms of w :

[tex]\[ l = \frac{15}{w} \][/tex]

Now substitute this expression for l into the second equation:

[tex]\[ \frac{15}{w} \times w \times h = 524 \][/tex]

Simplify:

15h = 524

Solve for h:

[tex]\[ h = \frac{524}{15} \][/tex]

h ≈ 34.93

So, the height of the chest is approximately  34.93  units.

Answer: -11.4, -9, 9.7, and 10.8

Step by step explanation: You had to subtract the actual height from the average height and then order the sum of each answer from least to greatest. Hope this helped!

To create a line of 123 ³/₄ inches with straws each measuring 4 ¹/₈ inches, 30 straws are needed. The cost to make these straws is $0.45.

To determine how many straws are in the line that extends 123 ³/₄ inches using straws that are each 4 ¹/₈ inches long, you would divide the total length of the line by the length of one straw. Converting to improper fractions for ease of calculation, we get:

Dividing the total length by the length of one straw:

Next, to find the total cost of the straws:

Therefore, 30 straws are used to create the line and the total cost for these straws is $0.45.

To find the width of the rectangular garden, use the equation 2w + 9 = 21.5, which leads to a width of 6.25 meters after solving step by step. The total fencing used is 21.5 meters for the three sides, with the fourth side being the house.

Finding the Width of the Rectangular Garden

Given that three sides of the rectangular garden are fenced and the fourth side is the house, let's break down the problem step by step:

Since only three sides are fenced, the total length of the fencing is the sum of two widths and one length of the garden. Therefore, we can write this equation:

2w + 9 = 21.5

To find w, we solve the equation as follows:

Therefore, the width of the garden is 6.25 meters.

We can see Karren rode farther

[tex]25[/tex] [tex]\frac{2}{5}[/tex]  with a common denominator is:

[tex]5+3=8[/tex]   [tex]2+3=5[/tex]

[tex]\frac{2}{5}+\frac{3}{3}=\frac{5}{8}[/tex]

so we know that Karren rode [tex]25\frac{5}{8}[/tex] miles which is more than Harrys [tex]25\frac{3}{8}[/tex]

Answer:

Step-by-step explanation:

Given

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

The sandwich cost $7.75 and sales tax was $0.47.

Find out the  cost of her drink

To proof

Let the cost of her drink be x.

As given in the question

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

Elysse paid for her sandwich and drink = 10 - 0.63              

                                                                 =  $ 9.37

sandwich cost $7.75 and sales tax was $0.47

Than the equation becomes

x = 9.37 - (7.75 + 0.47)

x = 9.37 - 8.22

x = $ 1.15

The cost of the drink is $ 1.15.

Hence proved      

Final answer:

To find the necessary increase in wind speed for Tropical Storm Hamm to reach hurricane status, set up the inequality 42 + x >= 74, resulting in x >= 32. Hence, the wind speed must increase by at least 32 miles per hour.

Explanation:

To determine how much the wind speed must increase for Tropical Storm Hamm to become a hurricane, we use an inequality. We know that a storm becomes a hurricane when the wind speeds reach at least 74 miles per hour.

Currently, Tropical Storm Hamm has wind speeds of 42 miles per hour. Let's define the variable x as the increase in wind speed needed for the storm to reach hurricane status.

The inequality that represents this situation is:
42 + x ≥ 74

Now, we solve for x:

Subtract 42 from both sides of the inequality: x ≥ 74 - 42

Simplify: x ≥ 32

Therefore, the wind speed must increase by at least 32 miles per hour for Tropical Storm Hamm to become a hurricane.

Final answer:

The best estimate of the solution to the system of equations is (1, 5).

Explanation:

In order to find the best estimate of the solution to the system of equations graphed on a coordinate plane, we need to look for the point where the two lines intersect. This point represents the solution to the system of equations.

The coordinates (1, 5) are the best estimate of the solution to the system of equations.