2. a. How could you distinguish between traveling west at 5 miles per hour and

traveling east at 5 miles per hour without using the words "east" and "west"

b. Four people are cycling. They each start at the same point. (0 represents their

starting point.) Plot their finish points after five seconds of cycling on a number line!

• Lin cycles at 5 meters per second

• Diego cycles at -4 meters per second

• Elena cycles at 3 meters per second

Answer: 30 ft

Step-by-step explanation: bc 1/2 inch = 3 feet combined length = 2 + 5= 5 inches therefore (5.0/0.5)(3)= 10(3)=30

Answer:5/12

Step-by-step explanation:

If you cut 10 ( the numerator) in half you get 5 and if you cut 24(the denominator) in half you get 12

Answer:

Step-by-step explanation:

Answer:

  120 mph

Step-by-step explanation:

To find miles per hour, divide miles by hours. ("Per" essentially means "divided by".)

  (24 miles)/(0.2 hour) = 24/0.2 miles/hour = 120 miles/hour

Answer:

B. 52 beats/min

Step-by-step explanation:

while resting her heart beats : 36×2 = 72 beats/min

while running her heart beats : 1 860÷15 = 124 beats/min

difference = 124-72 = 52 beats/min

:)

Answer:

B. 52 beats/min

Step-by-step explanation:

To find the answer you have to find the bpm of each time that Chandra recorded her heart rate. So when she recorded her heart rate when running, you simply divide 1850 by 15, and you should get 123.333 (repeating) I am assuming by the answers that we are rounding, so we are going to round that answer up. Next to find her heart rate while resting, you take her heart rate in 30 seconds, which is 36, and multiply it by 2, because it was her heart rate in half of the time that we are measuring it in. So when you multiply 36 by 2 you should get 72. The next step is to subtract 124 from 72. You answer is 52.

Step-by-step explanation:

[tex]5 \times 5= 25[/tex]

Answer:

Option A. one rectangle and two triangles

Option E. one triangle and one trapezoid

Step-by-step explanation:

step 1

we know that

The area of the polygon can be decomposed into one rectangle and two triangles

see the attached figure N 1

therefore

Te area of the composite figure is equal to the area of one rectangle plus the area of two triangles

so

[tex]A=(8)(4)+2[\frac{1}{2}((8)(4)]=32+32=64\ yd^2[/tex]

step 2

we know that

The area of the polygon can be decomposed into one triangle and one trapezoid

see the attached figure N 2

therefore

Te area of the composite figure is equal to the area of one triangle plus the area of one trapezoid

so

[tex]A=\frac{1}{2}(8)(4)+\frac{1}{2}((4+8)(8)=16+48=64\ yd^2[/tex]

Answer:

Step-by-step explanation:

All equations where x=2 is a solution : a(x-2) = 0......a ≠ 0

Answer:

[tex]Amount\ of\ sales=\$ 6000[/tex]

Step-by-step explanation:

[tex]Let\ total\ sales=x\\\\Commission=3\%\ of\ total\ sale\\\\Commission=3\%\ of\ x\\\\It\ is\ given\ that\ salesperson\ gets\ \$ 180\ as\ commission.\\\\3\%\ of\ x=180\\\\\frac{3}{100}x=180\\\\x=\frac{180\times 100}{3}\\\\x=60\times 100\\\\x=6000\$\\\\Amount\ of\ sales=\$ 6000[/tex]

Answer:

4 hours is what they use

Step-by-step explanation:

If they use 1/6 of their time each day

A day = 24 hours

1/6 times of that day will be

1/6*24= 4 hours

Answer:

[tex]x = 6[/tex] and [tex]y = 236[/tex]

Step-by-step explanation:

[tex]y = 296 - 10x[/tex]

[tex]y = 200 + 6x[/tex]

By equating both equations, we get:

[tex]296 - 10x = 200+6x[/tex]

[tex]16x = 96[/tex]  [Separate variables and constants]

[tex]x = 6[/tex]

By substituting [tex]x = 6[/tex] to the above equation, we get:

[tex]y = 296 - 10(6)[/tex]

[tex]y = 296 - 60[/tex]

[tex]y = 236[/tex]

Hence, [tex]x = 6[/tex] and [tex]y = 236[/tex]

Measure of the smaller angle is 75°

Step-by-step explanation:

Let angles be 5x and 7x.

⇒ 5x + 7x = 180

⇒ 12x = 180

⇒ x = 15

⇒5x = 5 [tex]\times[/tex] 15 = 75°

To find the measure of the smaller supplementary angle, when the ratio of the two angles is 5:7, you need to set up an equation with 5x and 7x as the angle measures. Solve this equation to find the value of 'x', and then use 'x' to calculate the measure of the smaller angle, which amounts to 75 degrees.

In this mathematics problem, we know that two angles are supplementary if their measures add up to 180 degrees. If the ratio of the two supplementary angles is 5:7, we can set up an equation to solve for the unknowns.

Let 5x represent the measure of the smaller angle and 7x represent the measure of the larger angle. We know that the sum of these two angles should be 180 degrees, thus:

5x + 7x = 180

Combining like terms, we get:

12x = 180

Now, we can solve for 'x' by dividing both sides of the equation by 12:

x = 180 / 12, which equals 15

Now that we know the value of 'x', we can plug it back in to find the measures of the two angles. The smaller angle, which is 5x, is then:

5x = 5 * 15, which equals 75 degrees

So the measure of the smaller angle is 75 degrees.

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133 is the Answer bc that is a supplementary angle and supplementary angles always sum up to 180 hope this helps please mark brainliest

Step-by-step explanation:

Answer:1

Step-by-step explanation:just divide numerator by denominator

Let's begin with point A:

[tex]A(7,-4)[/tex]

So we need to find the coordinates of points D in order for ABCD to be a rectangle. So:

D can be found by reflecting A across the x axis:

So you just need to multiply the y-coordinate by -1, then:

[tex]D(x,y)=D(7,-1(-4))=D(7,4)[/tex]

The length of AD can be found as the change in y from A to D:

[tex]\overline{AD}=4-(-4) \\ \\ \overline{AD}=8units[/tex]

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The ratio of boys to girls (3:4) and girls to adults (5:7) leads to a combined ratio of children to adults at the holiday camp of 5:4 after aligning the ratios on the common term for girls and simplifying.

To determine the ratio of children to adults at the holiday camp, we can use the given ratios:

First, express both ratios with a common term for girls to combine them accurately:

Since the ratio of girls to adults is 5:7, we can align this with the boys to girls ratio by multiplying the boys to girls ratio by 5 (the common term for girls). This gives us:

So, we have 15 boys and 20 girls for every 28 adults. The total number of children (boys and girls) is 15 + 20 = 35.

Therefore, the ratio of children to adults at the camp is 35:28, which simplifies to 5:4 after dividing both terms by 7.

Answer:

30

Step-by-step explanation:

Answer:

Mr. Smiths class has 12 students and Mrs. Brown's class has 10 students.

Step-by-step explanation:

if 1/3 of the class is absent and that amount is four you would multiply 4 by 3 and get 12. If 2/5 of the class are missing and there 4 students first you would divide 4 by 2 and get 2, then you would take the 2 and multiply it by 5 and get 10.

The given question have mistake.

Question:

Which expression is not a polynomial?

(1) x – 1

(2) 4 + p

(3) [tex]5x^2-\sqrt x[/tex]

(4) [tex]8x-z^3[/tex]

Answer:

[tex]5x^2-\sqrt x[/tex] : Not a polynomial

Solution:

Definition of polynomial:

A polynomial can have constants, variables and exponents.

Constants = 2, 5

Variables = x, y, z

Exponents = [tex]x^2[/tex]

Not a polynomial:

Roots, fractions in power, negative powers and dividing by a variable are not polynomials.

Given expressions:

(1) x – 1 : Polynomial

(2) 4 + p : Polynomial

(3) [tex]5x^2-\sqrt x[/tex] : Not a polynomial

(4) [tex]8x-z^3[/tex] : Polynomial

Hence in the given expressions [tex]5x^2-\sqrt x[/tex] is not a polynomial.

Step-by-step explanation:

Jose need at least 94 more points in order to get an A on this semester

Question:

How fast should the ant walk to go around the rectangle in 4 minutes if the sides are 12 inches and 16 inches

Answer:

The ant should walk 14 inches per minute

Solution:

Given that,

Dimensions of rectangle are 12 inches and 16 inches

Find the perimeter of rectangle

Perimeter = 2(length + width)

Perimeter = 2(12 + 16)

Perimeter = 2(28) = 56

Thus perimeter of rectangle is 56 inches

Time taken = 4 minutes

We have to find the speed at which ant covers 56 inches in 4 minutes

The speed is given by formula:

[tex]speed = \frac{distance}{time}[/tex]

[tex]speed = \frac{56}{4} = 14[/tex]

Thus the ant should walk 14 inches per minute

Answer: intersecting

Step-by-step explanation:

they cross each other

Answer:

4

Step-by-step explanation:

√10  is a irrational number

Final answer:

The square root of 10 is an irrational number because it is a non-terminating, non-repeating decimal that cannot be expressed as a simple fraction. It lies between the integers 3 and 4 on the number line.

Explanation:

The square root of 10 is an example of an irrational number. Unlike integers and whole numbers, which are exact and do not have an ending decimal or fraction, and unlike rational numbers which can be written as a ratio of two integers (like 1/2 or 3/4), an irrational number cannot be expressed as a simple fraction.

The square root of 10 cannot be precisely written as a fraction because it is a non-terminating, non-repeating decimal. In other words, if we were to write out the decimal form of the square root of 10, it would have an infinite number of digits after the decimal point without any repeating pattern.

For a real-world example, consider that knowing whether a number is rational or irrational can influence how we represent that number in various contexts, such as in engineering or architecture, where precision is paramount.

Answer:

The solution is x = 1 and y = 1.25.

Step-by-step explanation:

The solution to the graphs  [tex]f(x) = -\frac{3}{4} x + 2[/tex]   and [tex]g(x) = \frac{1}{4} x + 1[/tex]  

Solving for x we get

[tex]-\frac{3}{4} x + 2 = \frac{1}{4} x + 1[/tex]    [tex]\Rightarrow[/tex]   x = 1        Therefore y =   1/4   + 1  = 1.25

1 and 0

I took the test and got it right

Answer:

he hit the slopes  

Step-by-step explanation:

;)

Answer:

1   7/20   mixed= 27/20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because, according to the graph, they are making the most sells.

Answer:

x = 9

Step-by-step explanation:

x+3=2x-6

3=2x-x-6

9=x

The value of the x for the figure ABCD is 9.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

Given the quadrilateral ABCD and opposite sides are parallel,

AD ║ BC and AB ║ CD

since the opposite sides of the quadrilateral are parallel so the quadrilateral is a parallelogram,

so AB = CD

AB = x + 3 and CD = 2x - 6

x + 3 = 2x - 6

2x - x = 3 + 6

x = 9

Hence the value of x is 9.

Learn more about quadrilaterals;

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Answer:

- 40, - 50, - 60

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence.

- 20 - (- 10) = - 20 + 10 = - 10

- 30 - (- 20) = - 30 + 20 = - 10

Thus the difference d = - 10

To obtain a term in the sequence subtract 10 from the previous term

- 30 - 10 = - 40

- 40 - 10 = - 50

- 50 - 10 = - 60

The next 3 terms are - 40, - 50, - 60

Answer:

$14

Step-by-step explanation:

if Gerald's coins have the same value as his brothers, then that means they have exactly the same amount