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Bess [88]
3 years ago
5

A car traveled 330 miles during a 5½ hour period. If the speed at which the car traveled can be represented in the equation d=rt

, at what speed was the car traveling?
Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

The car was travelling at a speed of 60 miles per hour.

Step-by-step explanation:

Given:

Distance traveled = 330 miles

Time Period = 5 \frac12\ hr

we need to find the speed of the car .

Solution:

Time Period = 5 \frac12\ hr

Now we can say that;

\frac12\ hr =0.5\ hr

So Time period = 5+0.5 =5.5\ hr

Now we know that;

Distance traveled (d) is equal to Speed (r) multiplied by Time Period (t).

framing in equation form we get;

d=rt\\\\330 =r\times 5.5

Dividing both side by 5.5 we get;

\frac{330}{5.5}=\frac{5.5r}{5.5}\\\\r = 60\ mi/hr

Hence The car was travelling at a speed of 60 miles per hour.

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A slice is made parallel to the base of a square pyramid.
Ivanshal [37]

Answer:

a) Triangle.

b) Triangle.

c) The area is 110 cm.

Step-by-step explanation:

The shape is given because it is a cross section of a Pyramid which we can see shaded in grey.

The area is given by the base times hight devided by 2. So 10cm * 22cm/2= 110cm.

Hope this helped ;)

6 0
2 years ago
The table shows the numbers y of students absent from school x days after a flu outbreak.
allsm [11]
  1. A function that models the data is given by this quadratic equation, y = -0.4908x² + 5.8845x + 1.3572.
  2. The number of students that are absent 10 days after the outbreak is equal to 11 students.

<h3>What is a scatter plot?</h3>

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

<h3>What is a quadratic function?</h3>

A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the quadratic function is given by:

y = -0.4908x² + 5.8845x + 1.3572

For the number of students that are absent 10 days after the outbreak, we have:

y = -0.4908(10)² + 5.8845(10) + 1.3572

y = -0.4908(100) + 58.845 + 1.3572

y = -49.08 + 58.845 + 1.3572

Number of students, y = 11.12 ≈ 11 students.

Read more on scatterplot here: brainly.com/question/6592115

#SPJ1

5 0
1 year ago
Ed Moura has $32000 invested in stocks paying 6% .how much additional money should he invest in certificates of deposit paying 3
inna [77]

Answer:

Ed Moura invest $64000 in certificates of deposit paying 3%

Step-by-step explanation:

Ed Moura has $32000 invested in stocks paying 6%.  

Additional money in certificates of deposit paying 3% =x  

so that the average return on the two investments is 4%.  

32000*6% +3%*x = 4%(32000+x)

32000*0.06 +0.03*x = 0.04(32000+ x)

1920 + 0.03x = 1280 +0 .04x

1920 - 1280 = 0.04x - 0.03x

0.01x = 640

x = 64000

x = $64000

x= $64000 in certificates of deposit paying 3%

Thank you.

4 0
3 years ago
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to h
lisov135 [29]

Answer:

b

Step-by-step explanation:

d = r * t

None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.

The 90 minutes should be changed to hours.  No speedometer on a car is rated in feet per second.

3 0
3 years ago
One maid can clean the house in 2 hours. Another maid can do the job in 8 hours. How long will it take them to do the job workin
Aleks04 [339]

Answer:

Option B, 8/5 hr

Step-by-step explanation:

1/2 + 1/8

1*4 / 2*4 + 1/8

4/8 + 1/8

5/8 = 1/t

5t / 5 = 8 / 5

t = 8/5

Answer:  Option B, 8/5 hr

5 0
3 years ago
Read 2 more answers
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