MATHEMATICS MIDDLE SCHOOL

The length of the base of a right triangle is 32 centimeters, and the height is 10 centimeters. What is the area of the triangle?A) 42 square centimeters
B) 74 square centimeters
C) 160 square centimeters
D) 320 square centimeters
I would like some help on this please! If someone could explain how to do this, it would be awesome! Thank you!

Answers

Answer 1

Answer:

Answer:

Area of right triangle = 160 square centimeters

Right option is (C)

Step-by-step explanation:

We have given,

Length of base of right triangle = 32 cm

Height of right triangle = 10 cm

We need to find area of right triangle.

Area of right triangle = $(1)/(2) base*height$

Area of right triangle = $(1)/(2)*32*10$

Area of right triangle = 160 square centimeters

Answer 2

Answer:

Answer:

160 cm^2

Step-by-step explanation:

A = h x b / 2

= 10 x 32/2

= 160 cm^2

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Evaluate 5x - 1 when x = 8.

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Which number line shows the given inequality?

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Answer: C

4.
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Answer: B

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a market ordered 140 apples packed in small bags.how may small bags can be filled will there be any apples left over dive useing a rectangular area model and show the remainder i will add you my friend also thank you

Answers

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5x+7y=775x+3y=53

2x+5y=-1
X+2y=0

3x+6y=6
2x-3y=4

Answers

1.)
$5x+7y=77\n 5x+3y=53\n (5x+7y)-(5x+3y)=77-53\n 5x-5x+7y-3y=24\n 4y=24\n y=6\n 5x+7\cdot 6=77\n 5x+42=77\n 5x=77-42\n 5x=35\n x=\frac { 35 }{ 5 } \n x=7$

2.)
$2x+5y=-1\n x+2y=0\n \n 2\cdot (x+2y)=2\cdot 0\n 2x+4y=0\n (2x+5y)-(2x+4y)=-1-0\n 2x-2x+5y-4y=-1\n y=-1\n 2x+5\cdot -1=-1\n 2x-5=-1\n 2x=-1+5\n 2x=4\n x=\frac { 4 }{ 2 } \n x=2$

3.) $3x+6y=6\n 2x-3y=4\n 2\cdot (2x-3y)=2\cdot 4\n 4x-6y=8\n \n (3x+6y)+(4x-6y)=6+8\n 4x+3x+6y-6y=14\n 7x=14\n x=\frac { 14 }{ 7 } \n x=2\n \n 3\cdot 2+6y=6\n 6+6y=6\n 6y=0\n y=0\n$

Use the graph to predict the number of hybrid cars sold at a local car dealership in 2007. A. 520
B.320
C. 460
D.280

Answers

Answer:

C. 460

Step-by-step explanation:

We are given a dot graph which shows the number of Hybrid cars sold over the years.

The x-axis represents the years and y-axis represents the number of cars sold.

By looking at the graph, we can infer the following information.

In 2003, the number of cars sold was 120

In 2004, the number of cars sold was 160.

In 2005, the number of cars sold was 260.

In 2006, the number of cars sold was 360.

If you look at the last 3 years, the number of cars sold was increase by 100 by each year.

So, we can predict that in 2007, the number of cars sold was 460.

C. 460

Answer: I predict 460.

Step-by-step explanation:

3x-7y=21 what is the x entercept and y entercept

Answers

to find the x-intercept set y=0 and solve for x.
3x-7y=21
3x-7(0)=21
3x=21
x=7
so, x-intercept is at (7,0)
to find the y-intercept set x=0 and solve for y.
3x-7y=21
3(0)-7y=21
-7y=21
y=-3
so, y-intercept is at (0,3)

Brandon enters bike races.He bikes 8 1/2 miles every 1/2 hour. complete a table to find how far Brandon bikes for each time interval.

Answers

12. Since there is no table given I will assume that what you want me to do is to show that Unit rate of Brandon’s biking.SO here are the data that we need:=> 8 and ½ miles = 8.5 miles=> ½ hour = .5 hours or 30 minutesNow, let’s solve for the unit rate=> SO in every 30 minutes he bikes around 8.5 miles=> Since 1 hour is equals to 30 minutes, simply multiply 8.5 by 2=> 8.5 * 2 = 17miles=> 17 miles / hour

The distance of Brandon’s bike in each interval of time can be represented in the attached Table 1.

Further explanation:

Given:

Brandon enters in to the bike race and he bikes $8(1)/(2)\text{ miles}$ in every $(1)/(2)\text{ hour}$ .

Calculation:

It is given that in every $(1)/(2)\text{ hour}$ Brandon bikes $8(1)/(2)\text{ miles}$ .

The distance $8(1)/(2)\text{ miles}$ is in the form of mixed fraction.

Therefore, the distance $8(1)/(2)\text{ miles}$ can be written in the form of decimal as follows:

$\boxed{8(1)/(2)\text{ miles}\rightarrow8.5\text{ miles}}$

Brandon bike's $8.5\text{ miles}$ in every $(1)/(2)\text{ hour}$ .

We know that $1\text{ hour}$ is equivalent to $60\text{ minutes}$ .

So, $0.5\text{ hour}$ can be converted into minutes as follows:

$\boxed{\begin{aligned}1\text{ hour}\rightarrow60\text{ minutes}\n0.5\text{ hour}\rightarrow30\text{ minutes}\end{aligned}}$

Therefore, in every $30\text{ minutes}$ Brandon bikes $8.5\text{ miles}$ .

So, in next $30\text{ minutes}$ Brandon also bikes $8.5\text{ miles}$ .

In every $1\text{ hour}$ Brandon travels $\boxed{8.5+8.5=17\text{ miles}}$ .

In every $1:30\text{ hour}$ Brandon travels $\boxed{17+8.5=25.5\text{ miles}}$ .

Method 2:

Speed of Brandon’s bike can be calculated as ,

$\boxed{\text{Speed}=(d)/(t)}$ …… (1)

Here, $d$ is the distance and $t$ is the time.

The distance is $8.5\text{ miles}$ and time is $0.5\text{ hour}$ .

Now, substitute $d=8.5$ and $t=0.5$ in the equation (1) to obtain the speed as follows:

$\begin{aligned}\text{Speed}&=(8.5)/(0.5)\n&=17\text{ miles per hour}\end{aligned}$

Therefore, the rate of travelling of Brandon’s bike is $17\text{ miles per hour}$ .

The distance of Brandon’s bike in each interval of time can be represented in the attached Table 1.

Learn more:

1. Learn more about problem on numbers: brainly.com/question/1852063

2. Learn more about problem on function brainly.com/question/3225044

3. Learn more about problem on digits brainly.com/question/120717

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Speed, time and distance

Keywords: Distance, Brandon’s bike, interval, time, race, mixed fraction, distance, decimal, hour, minutes, rate, fraction, velocity, 1/2 miles, 1/2 hour.

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