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Tasya [4]
3 years ago
14

A truck can travel 210 miles in the same time it takes a car to travel 350 miles. If the trucks rate is 20 miles per hour slower

than the car’s, find the average rate for each.
Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

21 mph

Step-by-step explanation:

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Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation, where b is the number o
Olin [163]

The right statement is Sarah must sell in between 40 and 50 springtime bouquets true if Sarah needs to make a profit of at least $9,000.

Knowing that,

Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,

Where b is the number of springtime bouquets, .

We have to determine,

Which statement is true if Sarah needs to make a profit of at least $9,000.

According to the question,

Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,

Divide the equation by -5,

Factorize the equation for the value of profit,

Hence, Sarah must sell between 40 and 50 springtime bouquets.

Have a nice day

7 0
2 years ago
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
3 years ago
Read 2 more answers
Estimate 40% of 20 equals
Delvig [45]
40% of 20 is 8 8 is the answer
6 0
3 years ago
Read 2 more answers
Cheryl is planning a garden that will be
GaryK [48]

Hello There!

Great Question!

To calculate the area of a rectangular prism, you would multiply the length, the width, and the depth. As we want to measure this in cubic feet, we should convert all of the measurements to feet to begin with.

How wide is the garden? (either 7 or 8 feet)

How long is the garden? (Whichever of 7 or 8 wasn’t used)

How deep is this garden? 6 inches.

Well, that’s not feet, right?

How many inches are in a foot? 12.

Divide 6 by 12, what is the answer? .5.

5 0
3 years ago
Can you guys and gals help me
professor190 [17]

Answer:

1. B 2. B 3. D 4. A 5. A 6. A 7. B 8. C

Step-by-step explanation:

1. 6 and 8 are right next to each other. Making them 'adjacent angles' as 'adjacent' means 'next to'

2. 2 and 3 are vertically opposite angles, and these angles are equal to each other

3. 3 and 6 are alternate angles. These angles form a 'Z' shape

4. Similar to q2, 1 and 4 are vertically opposite angles

5. Yes they are similar because there are two angles which equal

6. The angles of the big triangle will correlate to the small triangle, therefore x is 40

7. Similar triangles will have the same angles. The top angle of the small triangle is 60, as stated in the big triangle, and 70 is given. The sum of interior angles of a triangle is 180. So, add 60 and 70, then minus from 180

8. Again, same concept as q7, the angles are given to you and you just need to correspond each angle to its respective area, then minus the total of the two given angles from 180

Hope this helped you!!

7 0
3 years ago
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