Terry enters an ultra-marathon race of 48 miles. His average walking speed is 3 miles per hour, and his average running speed is 8 miles per hour.Let x = number of hours he walksLet y = number of hours he runs

Answer:

202/29 or 6 28/28 miles

Step-by-step explanation:

58/4=29/2

2/29*101=202/29=6 28/28

Answer:

4/3 or 1  1/3

Step-by-step explanation:

Answer:

4/3 or 1and1/3

Step-by-step explanation:

To find the slope, all we need to do is plug in both coordinates into the slope formula and the result will be the slope.

the slope formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

to make it easier, we can label each x and y as x2, x1, y2, and y1 (it really doesn't matter which y or x value is the one as long as they are from the same pair like (4,3) can be x1 and y1 but can't be x2 and y1)

(4,3) (x1,y1)            (1,-1)  (x2,y2)

so just plug it into the formula and solve:

[tex]m=\frac{-1-3}{1-4} =\frac{-4}{-3} =\frac{4}{3} or 1\frac{1}{3}[/tex]

first lets change this problem into an equation...

0.09*x+0.15*3000=0.12(x+3000)

Step 1: Simplify both sides of the equation.

0.09x+(0.15)(3000)=0.12(x+3000)

0.09x+(0.15)(3000)=(0.12)(x)+(0.12)(3000)

0.09x+450=0.12x+360

Step 2: Subtract 0.12x from both sides.

0.09x+450−0.12x=0.12x+360−0.12x

−0.03x+450=360

Step 3: Subtract 450 from both sides.

−0.03x+450−450=360−450

−0.03x=−90

Step 4: Divide both sides by -0.03.

-0.03x/-0.03=-90/0.03

Answer:

3000

Step-by-step explanation:

Answer:

Jackson spent $59.48 altogether

Step-by-step explanation:

15.98+19= 34.98

34.98+24.50= 59.48

Replace x and y with their given values:

(4(8) + 22(11))

4 x 8 = 32

22 x 11 = 242

32 + 242 = 274

Answer: 274

Answer: 274

Step-by-step explanation:

nszbsjbsjs

Answer:

-4 - 20z sorry if I'm wrong

Answer:

-5 times 2 is -10

-5+2=-3

Thus the answer is -5 and 2

Step-by-step explanation:

Hope this helps!

Answer:

1) 512.628865979

2) 218.581395349

3) 231.384615385

4) 3962.53333333

5) 150.004

6) 161.161290323

7) 6107.94117647

8) 13.3191489362

9) 403.136363636

10) 59.6326530612

Hope this helps a lot! <3

Answer:

1. 512.628866

2. 218.5813953

3. 231.3846154

4. 3962.533333

5. 150.004

6. 161.1612903

7. 6107.941176

8. 13.31914894

9. 403.1363636

10. 59.63265306

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

it goes 2,4,6,8

and then 8,6,4,2, which is the same thing backwards

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Answer:

axis of symmtery: x = 3 or h = 3

Step-by-step explanation:

The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where x = h.

Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence, x = h.

Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.      

Answer:

D. 150-99

Step-by-step explanation:

Difference is defined as the result of subtracting one number from another.

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Explanation:

The triangle is scalene because all three sides are different in length. Also, the angles are all different which is another piece of evidence of this.

The triangle is a right triangle because of the 90 degree angle. Often the term "right angle" is used in place of "90 degree angle".

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Extra info (optional)

Answer: According to the diagram below, which similarity statements are true? Check all that apply.

Step-by-step explanation: ✓ Answer: A, C, and D Step-by-step explanation:3.5.3 test

The solution is,

ACDB = 3 cm²

AAMC = 6 cm²

AABD = 6 cm²

AADC = 3 cm²

AABC = 12 cm²

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

A median divides the area of a triangle into two equal parts. The first median, CM, divides triangle ABC into two equal areas, AMC and BMC. The second median, BD, divides triangle BMC into two equal areas, BMD and CDB.

We're given that ABMD = 3 cm², so ACDB is also 3 cm². The sum of those two areas is ABMC, which is also AAMC, 6 cm².

Median AD also divides ΔAMC in half, so AADC = 3 cm² and AADM = 3 cm². AABD is the sum of ABMD (3 cm²) and AADM (3 cm²) so is 6 cm².

AABC is the sum of the smaller areas, so is 12 cm².

Learn more about Triangle click here:

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Answer:

A) 3x -y = -3

B) x + y = 11

Adding both equations we get:

4x = 8

x = 2   and y = 9

Step-by-step explanation:

8×11/4+12

2×11+12

22+12

33

Answer:

C

Step-by-step explanation:

[tex]Sin \ 64 = \dfrac{opposite \ side}{hypotenuse}\\\\0.8988 = \dfrac{x}{14}\\\\0.8988 * 14 = x[/tex]

x = 12.5832

x = 12.6

Answer:

78° +78°+3x-12= 180 {being isosceles triangle and sum of 3angles of a triangle is 180°}

156+ 3x-12=180

144+3x=180

3x=180-144.

3x=36

[tex]x = \frac{36}{3} [/tex]

x=12

Answer:

500

Step-by-step explanation:

Out of every 15 people, there are 12 people who prefer eating at restaurants which means that 80% of people (12/15=.8) prefer eating out.

If 400 selected eating at restaurants in a survey, this accounts for 80% of the people that voted.

We can simplify this now to 20%=100 people because 80% is also four-fifths of 100% and the remaining one-fifth will equal 100 people. (400/4=100)

Since the remaining 20% is 100 people, we can do 400+100= 500 people that participated in the survey.

Answer:

-13

Step-by-step explanation:

divide 65 by -5

Answer : 2

Step-by-step explanation:

Slope is a ratio, Slope = rise/run. This can also be described as "the change in Y" / "The change in X"

So, using the table, find the rate of change in the y-values and the x-values.

y = mx + b

slope : m

x=-7, y=2 : -7m + b = 2 (1)

x=-6, y=4 : -6m + b = 4 (2)

(2)-(1) => m= 2

Answer:

WBX straight angle/obtuse

WBZ 90

YBZ obtuse/straight

YXZ not angle

XBY 90

ZBY straight/obtuse

ZXB not angle

ZBW 90

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9>6

ex. 92>69

nine is greater than 6, meaning that if a number begins with a 9, it automatically means that it is bigger than a number beginning with a 6.

The two-digit number formed with tens place taken by 9 will be always greater than the two-digit number formed with tens place taken by 6.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Let the two of the multi-digit number be a two digit number.

Now, It is known that the left-most place in a two-digit number is always tens place. Therefore, if a two-digit number is formed by the tens place taken by 6 and the unit digit taken by any other number, then it will always be less than the two digit number formed by formed by the tens place taken by 9 and the unit digit taken by any other number.

Also, if the two numbers are 4 digit numbers, the four-digit number is formed by the thousand place taken by 6 and the other place taken by any other digit, then it will always be less than the four digit number digit number formed by formed by the thousand place taken by 9 and the other place digit taken by any other digit.

Hence, the two-digit number formed with tens place taken by 9 will be always greater than the two-digit number formed with tens place taken by 6.

Learn more about the Place Value here:

https://brainly.com/question/27734142

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Answer:

D

if you have absolute value of a number it is the distance from 0 to the number

Answer:

54.87

69.08

Step-by-step explanation:

Answer:

[tex] \frac{5}{3} [/tex]

or 1.6 repeating

Answer:

0.667 or 2/3

Step-by-step explanation:

Hope it helps!

Answer:

Segment RW congruent to segment XY

Step-by-step explanation:

SAS means side-angle-side.

You are given two congruent angles, so you already have the angle you need for SAS.

By the reflexive property, side XW is congruent to itself, so now you have a side also.

You need another pair of sides, but the two sides must include the angle.

Answer: Segment RW congruent to segment XY

Answer:

Option B. -4

Step-by-step explanation:

-12 x (1/3)

=> -12 ÷ 3

=> -4

Therefore, -4 is our answer.

Hoped this helped.