Abdul's average speed is 30 mph in heavy traffic, and his average speed is 60 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 3 hours, how far did Abdul travel?
A.
48 miles
B.
210 miles
C.
90 miles
D.
270 miles

Answers

Answer 1

Answer:

210

Step-by-step explanation:

add 30 with 60 multiplied by 3


Related Questions

Seven values on the number line above are marked with letters. Which letters represent integers?
Question 2 options:

A)

A, B, D, G

B)

A, C, D, G

C)

B, C, E, F

D)

C, D, F, G

Answers

C and A thanks me later and give five stars

Periodical cicada species emerge in large
numbers from their larval stage at different
yearly intervals. What is the GCF of the years?

Answers

The GCF of numbers is the greatest common factors between the numbers

The GCF of the years is 1

How to determine the GCF

The intervals are given as: 13 years and 17 years

Factor both intervals (i.e. 13 and 17)

13 = 1 * 13

17 = 1 * 17

The common factor between both products is 1

So, we have:

GCF = 1

Hence, the GCF of the years is 1

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Write an equation in slope intercept form when slope = -2 and y-intercept = -3

PLS help

Answers

Answer:

y= -2x -3

Step-by-step explanation:

Plug in the values for m and b in y=mx+b

Negative 10 over 7 minus one over seventy

Answers

Answer:

-1.44285714286

Step-by-step explanation:

The ratio of x to z is 3 to 5, and the ratio of y to z is 1 to
5. What is the ratio of x to y?
A. 5:3
B. 5:1
C. 3:1
D. 1:3
E. 1:1

Answers

Answer:

c 3:1

Step-by-step explanation:

What is the value of x? How can you check your answer?

Answers

Answer:

x = 75

Step-by-step explanation:

Hi there!

Let's start by looking at the two parallel lines, l and m, and the diagonal line that crosses both of them. Line l and this diagonal line create the angle that measures (2x-30)°.

For a second, let's pretend that the 45°, x° and the straight line aren't there. The diagonal line and line m would create the alternate exterior angle of the angle that measures (2x-30)°. (Please see the attached image.)

Alternate exterior angles are equal in measure.

Now, with this knowledge, we now know that (2x-30)° is equal to 45+x:

2x-30 = 45+x

x-30 = 45

x = 75

Therefore, the value of x is 75.

To check your answer, you can substitute x into (2x-30)° and find the angle. It equals 120°. 45+75 is equal to 120°, so therefore, this answer is correct.  

I hope this helps!

After waking up, it takes Cheyenne
35 minutes to get ready to leave
for school. She takes 20 minutes to
walk to school. If Cheyenne wakes
up at 7:15 A.M., at what time does
she arrive at school?

Answers

Cheyenne would arrive at school at 8:10am

In a theater there are 20 rows of 12 seat and 20 rows of 10 seats each. All but 30 chairs are full. How many people are in the theater?

Answers

Answer:

410

Step-by-step explanation:

20 rows of 12 means there are x amount of people in the 20 rows of 12 seats.

x=20*12

x=240

20 rows of 10 means there are y amount of people in the 20 rows of 10 seats.

y=20*10

y=200

We know that there are 440 seats in the theater. (240+200)

Since 30 chairs are not full, we subtract 440 from 30 and you get 410.

There are 410 people in the theater.

Answer:thethey are 410 persons in the theater

Step-by-step explanation: 20*12=240 and 20*10=200

240+200=440-30=410

What are you being asked to solve in this problem? Cathy drove of a mile each day to work. What is the total number of miles Cathy drove to work after 5 days?
how many total miles Cathy drives to work after 5 days
the total number of miles Cathy drives to work and back home each day
how far Cathy drives to work each day
how many miles, in total, Cathy drives in a week

Answers

Answer:

A) How many total miles Cathy drives to work after 5 days.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

b) Write an equation of the line that crosses the graph of f(x) at x=-1 and x=2​

Answers

Answer:

Step-by-step explanation:

let it passes through (-1,y1) and (2,y2)

[tex]slope=\frac{y2-y1}{x2-x1} =\frac{y2-y1}{2-(-1)} =\frac{y2-y1}{3} \\eq. ~of~line~is~\\y-y1=\frac{y2-y1}{3} (x+1)\\3y-3y1=xy2-xy1+y2+y1\\3y=(y2-y1)x+y2+4y1[/tex]

Please help with the answer file attatched

Answers

Answer:

See below.

Step-by-step explanation:

Slope intercept form is y=mx+b, with m being the slope, and b being the y-intercept.

The slope(rise/run) is 1/2. The y-intercept is 5.

y=1/2x+5

-hope it helps

unit 8 right triangles and trigonometry homework 3 similar right triangles and geometric mean

Answers

The right triangles that have an altitude which forms two right triangles

are similar to the two right triangles formed.

Responses:

1. ΔLJK ~ ΔKJM

ΔLJK ~ ΔLKM

ΔKJM ~ ΔLKM

2. ΔYWZ ~ ΔZWX

ΔYWZ ~ ΔYZW

ΔZWX ~ ΔYZW

3. x = 4.8

4. x ≈ 14.48

5. x ≈ 11.37

6. G.M. = 12·√3

7. G.M. = 6·√5

What condition guarantees the similarity of the right triangles?

1. ∠LMK = 90° given

∠JMK + ∠LMK  = 180° linear pair angles

∠JMK = 180° - 90° = 90°

∠JKL ≅ ∠JMK All 90° angles are congruent

∠LJK ≅ ∠LJK reflexive property

ΔLJK is similar to ΔKJM by Angle–Angle, AA, similarity postulate

∠JLK ≅ ∠JLK by reflexive property

ΔLJK is similar to ΔLKM by AA similarity

By the property of equality for triangles that have equal interior angles, we have;

ΔKJM ~ ΔLKM

2. ∠YWZ ≅ ∠YWZ by reflexive property

∠WXZ ≅ ∠YZW all 90° angle are congruent

ΔYWZ is similar to ΔZWX, by AA similarity postulate

∠XYZ ≅ ∠WYZ by reflexive property

∠YXZ ≅ ∠YZW all 90° are congruent

ΔYWZ is similar to ΔYZW by AA similarity postulate

Therefore;

ΔZWX ~ ΔYZW

3. The ratio of corresponding sides in similar triangles are equal

From the similar triangles, we have;

[tex]\dfrac{8}{10} = \mathbf{ \dfrac{x}{6}}[/tex]

8 × 6 = 10 × x

48 = 10·x

[tex]x = \dfrac{48}{10} = \underline{4.8}[/tex]

3. From the similar triangles, we have;

[tex]\mathbf{\dfrac{20}{29}} = \dfrac{x}{21}[/tex]

20 × 21 = x × 29

420 = 29·x

[tex]x = \dfrac{420}{29 } \approx \underline{14.48}[/tex]

4. From the similar triangles, we have;

[tex]\mathbf{\dfrac{20}{52}} = \dfrac{x}{48}[/tex]

20 × 48 = 52 × x

[tex]x = \dfrac{20 \times 48}{52} = \dfrac{240}{13} \approx \underline{18.46}[/tex]

5. From the similar triangles, we have;

[tex]\mathbf{\dfrac{13.2}{26}} = \dfrac{x}{22.4}[/tex]

13.2 × 22.4 = 26 × x

[tex]x = \dfrac{13.2 \times 22.4}{26} \approx \underline{ 11.37}[/tex]

6. The geometric mean, G.M. is given by the formula;

[tex]G.M. = \mathbf{\sqrt[n]{x_1 \times x_2 \times x_3 ... x_n}}[/tex]

The geometric mean of 16 and 27 is therefore;

[tex]G.M. = \sqrt[2]{16 \times 27} = \sqrt[2]{432} = \sqrt[2]{144 \times 3} = \mathbf{12 \cdot \sqrt{3}}[/tex]

The geometric mean of 16 and 27 is 12·√3

7. The geometric mean of 5 and 36 is found as follows;

[tex]G.M. = \sqrt[2]{5 \times 36} = \sqrt[2]{180} = \sqrt[2]{36 \times 5} = \mathbf{ 6 \cdot \sqrt{5}}[/tex]

The geometric mean of 5 and 36 is 6·√5

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Carol is ordering bricks for two large construction jobs at the same location. The first job needs 500 bricks every day for 9 days and the second job needs 700 bricks every day for 9 days. What is the total number of bricks Carol needs for both jobs?​

Answers

Answer:

10,800

Step-by-step explanation:

500 X 9 = 4,500

700 X 9 = 6,300

4,500 + 6,300 = 10,800

The total number of bricks Carol needs for both jobs is 10,800.

Enrique can spend at most $2240 to renovate his home. One roll of wallpaper costs $32, and one can of paint costs $28. He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Identify the graph that shows all possible combinations of wallpaper and paint that he can buy. Also, identify two possible combinations.

Answers

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

Inequality

Inequality is the non equal comparison of two or more numbers and variables.

Let x represent the number of wallpapers and y represent the number of cans.

He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:

x ≥ 30   (1);

y ≥ 20    (2)

Also:

32x + 28y ≤ 2240    (3)

Plotting the 3 equations using geogebra online graphing tool, the possible solution is:

(30, 20), (30, 46)

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

Find out more on Inequality at: https://brainly.com/question/24372553

What are the coordinates of Point Z(−3.9, −9.3) after a reflection across the y-axis?

Answers

Answer:

(3.9, - 9.3 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

Z (- 3.9, - 9.3 ) → Z' (3.9, - 9.3 )

The coordinates of the point after reflection across y-axis is Z' ( 3.9 , -9.3 )

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the coordinates of the point be represented as Z ( -3.9 , -9.3 )

Now , let the coordinates of the reflected point be Z'

where the axis of reflection is y-axis

So , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Therefore , Z' = Z' ( 3.9 , -9.3 )

Hence , the reflected point is Z' ( 3.9 , -9.3 )

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Drew has five granola bars He cuts bars into halves How many bars pieces does he have

Answers

Drew would then have 10 pieces of granola bar.

Answer:

Drew has 10 bar pieces.

Step-by-step explanation:

Five bars get cut into halves. Each bar will now be two pieces; multiplying 5 by 2 gives you 10.

I hope this helps!

suppose you have 20 consecutive even numbers. What is the difference between the sum of the last 10 numbers and the sum of the first 10 numbers
plz answer

Answers

Answer: 200
Explanation: First start out with 20 even numbers:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
As stated, you have to add the first ten together, and then add the last ten together
First ten:110 Last ten:310
Then subtract:
310-110=200

The difference between the sum of the last 10 numbers and the sum of the first 10 numbers will be 200.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

Sₙ = (n / 2)[a₁ + L]

The 20 consecutive even numbers are given below.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

The sum of the first 10 numbers will be given as,

⇒ (10 / 2)[2 + 20]

⇒ 5 x 22

⇒ 110

The sum of the last 10 numbers will be given as,

⇒ (10 / 2)[22 + 40]

⇒ 5 x 62

⇒ 310

Then the difference between the numbers is given as,

⇒ 310 - 110

⇒ 200

The difference between the sum of the last 10 numbers and the sum of the first 10 numbers will be 200.

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Two of the angles in a triangle measure 84° and 43°. What is the measure of the third angle?

Answers

Answer:

53°

Step-by-step explanation:

Because a triangle is equal to 180°, we subtract the 84° and 43° from the  180° and get the measure of the third angle: 53°

After several years of working, Katy has saved $125,000. If she invests that $125,000 in a savings fund that adds 4% each year, about how much will her savings account have after15 years? For this question, ignore compounding and taxes, and assume Katy does not put additional money into savings.

Answers

Answer:

225117.93818

Step-by-step explanation:

125000(1.04)^15

Katy's savings account will have $200,000 after 15 years, when she saves $125,000 now, and 4% is added to her account each year. Ignoring compounding and taxes, we followed the Simple Interest Method.

What is interest?

Interest is the sum paid by the user of the fund to the investor of the fund, for lending the user his/her money.

How to solve the given question?

In the question, we are informed that Katy has saved $125,000, and she invests this in a savings fund that adds 4% to it each year.

We are asked to find the amount in her savings account after 15 years, assuming that there is no compounding, no taxes and that Katy doesn't add any more money to her account.

If we ignore compounding, then we are supposed to follow the simple interest method, in which the final amount is given as,

A = P(1 + nr), where A is the final amount, P is the principal sum invested, n is the time for investment, and r is the rate of interest.

Therefore, the amount in Katy's account after 15 years can be calculated as,

A = 125000(1 + 15*0.04) = 125000(1 + 0.60) = 125000 *  1.60 = 200,000.

Therefore, Katy's savings account will have $200,000 after 15 years, when she saves $125,000 now, and 4% is added to her account each year. Ignoring compounding and taxes, we followed the Simple Interest Method.

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Pllsss help me bro I’m dying rn

Answers

Answer:

11.  8 mph

12. Yes the rates are equivalent

Step-by-step explanation:

11.

We need to calculate the distance the person would walk in 1 hour.

To do this, multiply both by 24:

1/3 x 24 = 8 miles

1/24 x 24 = 1 hour

Therefore, the person's speed = 8 mph

12.

0.2 km for every 0.5 min

0.8 km for every 2 min

If we multiply both numbers in the first rate by 4 we will get:

(0.2 x 4) km for every (0.5 x 4) min = 8 km for every 2 min

This is the same as the second rate.

Therefore the rates are equivalent (as they are the same)

2 Rewrite the improper fractions as mixed numbers.
4/3=

Answers

Answer:

1 1/3

Step-by-step explanation:

3/3 = 1 Whole

Therefore 4/3 = 1 1/3

Answer: For 4/3, the denominator is 3. Improper fraction. This is a fraction where the numerator is greater than the denominator. Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction.

Step-by-step explanation:

Before we begin, let's revisit some basic fraction terms so you understand exactly what we're dealing with here:

Numerator. This is the number above the fraction line. For 4/3, the numerator is 4.

Denominator. This is the number below the fraction line. For 4/3, the denominator is 3.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 4/3 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

4/3= 1.3333333333333 = 1

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (3). The result of that multiplication is then subtracted from the original numerator:

4 - (3 x 1) = 1

Step 3: Our mixed fraction

We've now simplified 4/3 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

1

1

3

Step 4: Simplifying our fraction

In this case, our fraction (1/3) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 3 is 1.

We can now divide both the new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.

1/1 = 1

3/1 = 3

When we put that together, we can see that our complete answer is:

1

1

3

Hopefully this tutorial has helped you to understand how to convert any improper fraction you have into a mixed fraction, complete with a whole number and a proper fraction. You're free to use our calculator below to work out more, but do try and learn how to do it yourself. It's more fun than it seems, I promise!

The graph shows the system of which two equations

Answers

Answer: Yes
Explanation: Very much so yes

Answer:

u need to provide graph

Step-by-step explanation:

we cant solve it

I need help please this is confusing

Answers

Step-by-step explanation:

slope formula when it's perpendicular : m1 × m = -1

Now Differentiate the quadratic function given.

d/dx ( x^2 - x + 1 ) at an x value of -1 from the point "(-1 , 3 )"

= 2x - 1 .... plug in the x value

= 2 × -1 - 1 = -3.

Use this equation...

y - y1 = m(x - x1)

m = slope = derivative at x = -1

y1 = value found by subbing -1 into the original function

x1 = the x value often given.

y - 3 = 1/3 (x + 1)

= 1/3x + 1/3 + 3

y = 1/3x + 10/3.

not sure about this one - it probably intersects at the x & y intercepts of the equation of the normal line.

y = 0 + 10/3 = 10/3

1/3x = 0 - 10/3

x = -10/3 / 1/3 = -10

so the point .... (-10 , 10/3)

what is 1/12 divided by 8

Answers

Answer:

2/3

Step-by-step explanation:

In division with fractions, we use the keep change flip method.

Step 1:

Keep 1/12

Step 2:

Change the ÷ to a ×

Step 3:

Multiply 1/12 by 8

[tex]\frac{1}{12} *8=2/3[/tex]

Find the equation of the exponential function represented by the table below:

Answers

Answer:

  y = 0.1(4^x)

Step-by-step explanation:

An exponential function can be written as ...

  y = a(b^x)

where 'a' is the y-intercept, and 'b' is the ratio of terms with consecutive x-values.

The table tells us a=0.1, and b=0.4/0.1 = 4. The equation is ...

  y = 0.1(4^x)

Solve each system using the substitution method.
y= 2x
5x - y =9

Answers

Answer:

{y,x}={6,3}

Explanation

System of Linear Equations entered :

 [1]           y=2x

 [2]           5x-y=9

Equations Simplified or Rearranged :

  [1]    y - 2x = 0

  [2]    -y + 5x = 9

Graphic Representation of the Equations :

   -2x + y = 0        5x - y = 9  

 

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = 2x

// Plug this in for variable  y  in equation [2]

  [2]    -(2x) + 5x = 9

  [2]    3x = 9

// Solve equation [2] for the variable  x

  [2]    3x = 9

  [2]    x = 3

// By now we know this much :

   y = 2x

   x = 3

// Use the  x  value to solve for  y

   y = 2(3) = 6

Solution :

{y,x} = {6,3}

2. Destiny wants to take a trip to France in 9 years. She knows she will need about $6,200.
How much should she deposit into an account now that pays 4.25% interest compounded daily, in order to meet her goal? Round to the nearest dollar.

A. Write the correct formula

B. Substitute and Solve

C. Answer in a complete sentence.​

Answers

It’s b bc u would substitute then try to solve it

What is the slope of the line that passes through the points (5, -10) and
(-3, -10)? Write your answer in simplest form.

Answers

Answer:

0 tell me if i am right please

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

(x1,y1)=(-10, -8)

(x2,y2)=(-8, -16)

Slope=(y2-y1)/(x2-x1)=(-16+8)/(-8+10)=-8/2=-4

or,

If you take (x1,y1)=(-8, -16), (x2,y2)=(-10, -8)

Slope=(y2-y1)/(x2-x1)=(-8+16)/(-10+8)=8/-2=-4

5. Which of the following situations could be solved using the equation 3m + 5 = 11? Select two
that apply.
A. Mr. Thomas bought 3 sets of paintbrushes for the art class. Mrs. Hamby bought 5 single
paintbrushes, bringing the total number of new brushes to 11. How many paintbrushes were in
each set Mr. Thomas bought?
B. Samantha received 5 more birthday gifts last year than this year. If she received a total of 11
gifts this year, how many did she receive last year?
C. During the month of June, Ashley noticed that the tulips in her garden grew 3 times faster
than the daisies and 5 times faster than the roses. If the daisies grew a total of 11 centimeters,
how many centimeters did the tulips grow? O
D. An adult sea turtle can swim underwater 5 yards farther than 3 times the distance a baby sea
turtle can swim. If an adult can swim a total of 11 yards before coming up for air, how many
yards can a baby swim? O

Answers

Answer:

2

Step-by-step explanation:

Box in your 3m. Subtract 5 from both sides. You get 6. Now, divide 6 by 3 which is boxxed and you get 2.

Answer:

B and A should be the answer I believe because 3m+5=11 which would be 11-5 because you have to change 5 from a positive and that would equal 6 and 6 divide by 3 is 2.

there are approximately 3 million births in the unitad states each year .find the birth rate per minute

Answers

Answer:

Approx. 6 b/m

Step-by-step explanation:

Find out How many minutes in a year which is 525600 then divide that by 3,000,000 which makes 5.7077 so rounded is 6.

Answer:

5.7/min

Step-by-step explanation:

Divide 3 million by 365 to represent 1 day:

3,000,000 / 365 = approximately 8,219.

Divide 8,219 by 24 to represent 1 hour:

8,219 / 24 = approximately 342.

Divide 342 by 60 to represent one minute:

342 / 60 = 5.7.

The birth rate in United States is approximately 5.7/min

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