What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Each time x goes up by 3, y goes up by 2. The rate of change is constant.

slope = (change in y)/(change in x) = 2/3

y intercept = 6 since this is where x = 0

The equation of this line is y = (2/3)x+6

Answer:

Linear, The rate of change is constant.

Step-by-step explanation:

-3 + 3 = 0

0 + 3 = 3

So x is constant

4 + 2 = 6

6 + 2 =8

So y is constant

Answer:

[tex]Time = 17.143\ mins[/tex] -- When going

[tex]Time = 40\ mins[/tex] -- When coming back

Step-by-step explanation:

Given

[tex]Speed\ to = 7mi/hr[/tex]

[tex]Speed\ from = 3mi/hr[/tex]

[tex]Distance = 2\ mi[/tex]

Required

Determine time taken to your friend's house

Determine time taken from your friend's house

Distance is calculated as:

[tex]Time = \frac{Distance}{Speed}[/tex]

From the question, we understand that:

[tex]Distance = 2\ mi[/tex]

When going:

[tex]Speed\ to = 7mi/hr[/tex]

So, we have:

[tex]Time = \frac{2mi}{7mi/hr}[/tex]

[tex]Time = \frac{2}{7}hr[/tex]

Express in Minutes

[tex]Time = \frac{2}{7} * 60[/tex]

[tex]Time = \frac{120}{7}[/tex]

[tex]Time = 17.143\ mins[/tex]

When coming back:

[tex]Speed\ from = 3mi/hr[/tex]

[tex]Time = \frac{2mi}{3mi/hr}[/tex]

[tex]Time = \frac{2}{3}hr[/tex]

Express in Minutes

[tex]Time = \frac{2}{3} * 60[/tex]

[tex]Time = \frac{120}{3}[/tex]

[tex]Time = 40\ mins[/tex]

Answer:

32.202

Step-by-step explanation:

Answer:

5.0 times 10 Superscript 6

Step-by-step explanation:

What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline?

This is represented mathematically as:

1.6 × 10¹⁴/ 3.2 × 10⁷

Solving for this

1.6 × 10¹⁴/ 3.2 × 10⁷

= [1.6/3.2] × 10¹⁴-⁷

= 5 × 10⁶

= 5.0 times 10 Superscript 6

Answer:

the answer is C) 5.0 x 10^6

Step-by-step explanation:

just took the test on edge 2021

Answer:

$8 each

Step-by-step explanation:

We know Sally has $77 to spend. She bought 8 books, and was then left with $13. First, let's subtract 13 from 77 to see how much it cost in total.

77 - 13 = 64

Now, to find out how many each book cost, we have to divide the total amount by how many books Sally got.

64 / 8 = 8

Each book cost $8.

Answer

The anwser is B

Step-by-step explanation:

I did this test as well earlier this year

Equation x=3 represents a line perpendicular to the x-axis. Therefore, the correct answer is option A.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

here, we have,

A) x=3

Graph the line using the slope and y-intercept, or two points.

Slope: Undefined

y-intercept: No y-intercept

The coordinate points are (3, 0) and (3, 1).

B) Graph the line using the slope and y-intercept, or two points.

Slope: 1

y-intercept: (0,0)

The coordinate points are (0, 0) and (1, 1)

C) x=y

Graph the line using the slope and y-intercept, or two points.

Slope: 1

y-intercept: (0,0)

The coordinate points are (0, 0) and (1, 1)

D) x=-3y

Graph the line using the slope and y-intercept, or two points.

Slope: -1/3

y-intercept: (0,0)

The coordinate points are (0, 0) and (-3, 1)

Therefore, option A is the correct answer.

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Answer:

[tex]Speed = \frac{38}{3}km/hr[/tex]

Step-by-step explanation:

Given

[tex]Distance = 3\frac{1}{6}km[/tex]

[tex]Time = \frac{1}{4}hr[/tex]

Required

Determine the average speed

Average speed is calculated as thus;

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = 3\frac{1}{6}/\frac{1}{4}[/tex]

[tex]Speed = 3\frac{1}{6} * \frac{4}{1}[/tex]

Convert Mixed Fraction to Improper fraction

[tex]Speed = \frac{19}{6} * \frac{4}{1}[/tex]

[tex]Speed = \frac{19 * 4}{6 * 1}[/tex]

[tex]Speed = \frac{76}{6}[/tex]

Divide both sides of the fraction by 2

[tex]Speed = \frac{38}{3}[/tex]

Hence:

The speed is:

[tex]Speed = \frac{38}{3}km/hr[/tex]

Answer:

38/3

Step-by-step explanation:

Answer:

Your answer is: A) x^3-9x^2+14x+24

Multiply each term in the first expression by each term in the second expression and combine like terms.

Step-by-step explanation:

Hope this helped : )

Answer:

42

Step-by-step explanation:

for one cup 28/12

for 18 cup,

(28/12)×18

=42

Answer:

20 points

Step-by-step explanation:

If Jenny scored 3/5th of 50 points then:

Jenny = 3/5 × 50 = 30 points

If Hunter scored 1/5th of 50 points then:

Hunter = 1/5 × 50 = 10 points

Difference in points between Jenny and Hunter = 30 - 10 = 20 points

Answer:

-1/3

step-by-step explanation:

-21=-39k+-24

39k = -24 + 21

39k = -3 (divide each side by 39)

k = -1/3

This answer would be (55/9, ∞)

Answer: 3

Step-by-step explanation:

Answer:

$4406.7 is the profit.

explanation:

compound interest formula: [tex]\sf \large\boxed{\sf P(1+\frac{r}{100})^n }[/tex]

using this formula:

[tex]\rightarrow \ \sf \sf 24000(1+\dfrac{1.7}{100})^{10} }[/tex]

[tex]\rightarrow \sf \ $ \sf 28406.7[/tex]

profit: $28406.7  - $24,000 = $4406.7

Answer:

88

Step-by-step explanation:

[tex]\sqrt{(64)(121)}\\\sqrt{64} \sqrt{121} \\(8)(11)\\88[/tex]

The square root of 64×121 is 88.

Square root is a factor of a number that, when multiplied by itself, gives the original number.

According to the given question

We have to find the square root of 64 × 121

The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2

And the prime factorization of 121 is 11 × 11.

Therefore the square root of 64 × 121 is given by

[tex]\sqrt{(64)(121)} =\sqrt{(2)(2)(2)(2)(2)(2)(11)(11)} = (11)(2)(2)(2)=88[/tex]

Hence, the square root of 64×121 is 88.

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Answer:

I think it would be thirty

Answer:

Step-by-step explanation:

To get from - 3 degrees to 0 takes 3 degrees to do

To get from 0 degrees to 12 takes 12 degrees             Add

Total                                                   15 degrees.

Answer:

x= f/b + 10/b

Step-by-step explanation:

f and b is one fraction + 10 and b is the other fraction

Given tangent, ZN, to the circle and the arc [tex]\widehat{ZMB}[/tex] = 280°, we have that

the angle formed by the chord BZ and the tangent ZN, ∠BZN is 50°

The given parameters are;

A tangent to the circle O = ZN

[tex]m \widehat{ZMB}} = \mathbf{280^{\circ}}[/tex]

Required:

Angle ∠BZN

Solution;

Please find attached the drawing of the circle and tangent

From the drawing, we have;

∠BOZ = 360° - 280° = 80°

ΔBOZ is an isosceles triangle, which gives;

∠BZO = ∠ZBO

[tex]\angle BZO = \dfrac{(180^{\circ}- 80^{\circ}) }{2} = \mathbf{50^{\circ}}[/tex]

∠OZN = 90° (by definition of a tangent)

∠OZN = ∠BZO + ∠BZN

∠BZN = ∠OZN - ∠BZO

Which gives;

∠BZN = 90° - 40° = 50°

Learn more about tangents to a circle here:

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Answer:

20 games

Step-by-step explanation:

Given

Customers:

[tex]Rent = \$5[/tex] per game

Members:

[tex]Membership = \$50[/tex]

[tex]Rent = \$2.50[/tex] per game

Required

Determine number of games for both to be equal

Represent the number of games with g

For regular customers;

g games cost: [tex]5 * g[/tex]

For Members

g games cost: [tex]50 + 2.50 * g[/tex]

Equate both expressions:

[tex]5 * g = 50 + 2.50 * g[/tex]

[tex]5g = 50 + 2.5 g[/tex]

Collect like terms

[tex]5g -2.5g= 50[/tex]

[tex]2.5g= 50[/tex]

Solve for g

[tex]g = 50/2.5[/tex]

[tex]g = 20[/tex]

Answer:

less than

Step-by-step explanation:

a pint is 2 cups so 8 cups is 4 pints

yw

Answer: x=10

Step-by-step explanation: A straight line is equal to 180 degrees, meaning that the sum of all angles is supplementary to 180 degrees. This can be written as 3x+88+x+36+2x-4=180. Adding like terms, it is simplified to 6x+120=180. Subtract 120 on both sides getting you 6x=60. Then divide; x=10

Answer:

i believe its 1200

Step-by-step explanation:

Answer:

x = 45°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 8 ( number of sides of an octagon ) , then

sum = 180° × 6 = 1080°

the interior angles of a regular octagon are congruent , so

∠ ABC = 1080° ÷ 8 = 135°

x and 135° are adjacent angles on a straight line and sum to 180° , then

x = 180° - 135° = 45°

Answer:

5 5/8

Step-by-step explanation:

1. you need to make the whole number a fraction so turn it into 9/1

2. multiply straight across

3. currently it's 45/8, you need to divide

4. divide 45/8 once

5. your answer of 5 5/8

Hi!

First, let's write 9 as a fraction:

[tex]\bold{\displaystyle\frac{9}{1}}[/tex]

Now multiply:

[tex]\bold{\displaystyle\frac{9}{1} *\frac{5}8} }[/tex]

multiply 9 times 5 and 1 times 8:

[tex]\bold{\displaystyle\frac{45}{8} }}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{5\frac{5}{8} }}}[/tex] (as a mixed number)

Hope everything is clear.

Let me know if you have any other questions; if so, please use the comment section.

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Answer:

115/12

HOPE IT IS THE ANS

Hey!

All we have to do is subtract however many pencils the others have.

So, lets do James first.

14-2=12

Now we subtract Ann's.

12-4=8

So, Frank has 8 Pencils.

Hope this helps!

Answer:

8

Step-by-step explanation:

14-(2+4)= 8

Its fairly simple but if you don't pay attention and don't add it up correctly you will have problems in your answer. (Hope you found this helpful!)