Two trucks, A and B, start from the intersection C of two straight roads at the same time. Truck A is traveling twice as fast as truck B, and after 4 hours, the two trucks are 350 miles apart. Find the approximate speed of truck B in miles per hour.


A. 39 B. 51 C. 44 D. 78

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

The value of k is -2.92.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

The lines are given as;

-7x - y = 9  .... (i)

-x + 9y = k ..... (ii)

Both lines are intersect at the point ​(​-1.22,-0.47​).

Now, Both lines are intersect at a point.

By equation (i),

-7x - y = 9

y = -7x - 9

Put the value of y in equation (ii), we get;

- x + 9 (-7x - 9) = k

- x - 63x - 81 = k

- 64x - 81 = k

k = - 64x - 81

Since, Both lines intersect at point (​-1.22,-0.47​).

Hence, Put the value of x = -1.22 in above equation to find the value of k;

k = (-64) * (-1.22) - 81

k = 78.08 - 81

k = -2.92

Therefore, The value of k is -2.92.

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Answer:

B and c and e

Step-by-step explanation:

Sorry if late I need points

The sums 5 + (–2), –3 + 4, and –2 + 4 are positive option (B), (C), and (E) are correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

A.–5 + (–2)

= -5 + (-2)

= -5 - 2

= -7 (negative)

B. 5 + (–2)

= 5 - 2

= 3 (positive)

C. –3 + 4

= -3 + 4

= 1 (positive)

D. 0 + (–3)

= -3 (negative)

E. –2 + 4

= -2 + 4

= 2 (positive)

Thus, the sums 5 + (–2), –3 + 4, and –2 + 4 are positive option (B), (C), and (E) are correct.

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Answer:

5/6

Step-by-step explanation:

When adding fractions, you must ensure the denominator is the same in both fractions.

In this case, the 3 can be multiplied by 2 to equal 6, the other denominator.

When multiplying fractions to create a common denominator, you must multiply the both the numerator and the denominator by the same value, to ensure that the fraction is still equivalent.

2/3 × 2/2 = (2×2)/(3×2) = 4/6

Replace 2/3 with its equivalent 4/6.

Now you will add the numerators together.

1/6 + 4/6 = (1+4)/6 = 5/6

Your final answer is 5/6

Answer:

5/6

Step-by-step explanation:

2/3--> 4/6       (GCF)

4/6+1/6=5/6

:)

Answer:

(0,-6)

Step-by-step explanation:

I had this question on mymcps classroom and got it right.

- I hope this helps :)

- if you could a crown would be nice.

Answer:

Step-by-step explanation:

Circle A has a center at A(3, -1) and a radius of 6. Which point will lie on circle A? Create the circle on a graph and you will see point (3, 5).

Answer:

y > -1/2 x + 4

Step-by-step explanation:

Equation of a line : (y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-4)/(2-4)= (x-0)/(4-0)

(y-4)/-2 = x/4

(-y+4)/2 = x/4

-y+4 = 1/2 x

-y = 1/2 x - 4

y = -1/2 x + 4

the solutions of the inequality are the points above this line, so

y > -1/2 x + 4

Answer: 1

Step-by-step explanation:

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Answer:

  C.  38°

  D.  30°

Step-by-step explanation:

The relevant relation in both cases is the inscribed angle measures half the measure of the arc it intercepts.

__

C. Angle TSQ intercepts arc TQ, so the measure of arc TQ is 2(86.5°) = 173°. The measure of arc TR is the difference between the measures of arcs TQ and RQ, so is ...

  arc TR = 173° -135° = 38°

__

D. Inscribed angle PQR intercepts arc PR, so is half its measure.

  angle PQR = 60°/2 = 30°

Answer:

26

Step-by-step explanation:

all you have to do is count and add i took the test before

Answer:

y=x-3

Step-by-step explanation:

Slope intercept form: y=mx+b

x-y=3

-y=-x+3

y=x-3

Answer:

3 boxes

Step-by-step explanation:

Take the total spent and divide by the cost per box

$6/ $2

3

She bought 3 boxes

Answer:

the reading of the length of the cylinder is 2.84 cm

Step-by-step explanation:

Given the data in the question;

the main scale reading = 2.8 cm

the Vernier reading = 4

the least count of the Vernier = 0.01 cm

the reading of the length of the cylinder = ?

To determine the reading of the length of the cylinder, we simply say;

Reading length = main scale reading + ( Vernier reading × least count )

so we substitute in our given values

Reading length =  2.8 cm + ( 4 × 0.01 cm )

Reading length =  2.8 cm + 0.04 cm

Reading length =  2.84 cm

Therefore,  the reading of the length of the cylinder is 2.84 cm

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

Answer:

The answers are B, C, and E.

Step-by-step explanation:

I got it right on edge

Answer:

I can't understand your equation. Please rewrite it.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

4/12÷4÷4=1/3

The answer is 1/3 or 0.333...

Answer: the answer is 1 over 3

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

Check the picture below, so the circle looks more or less like so, with a radius of 9.

\(\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies C=2\pi (9)\implies C\approx 57\)

Answer:

x + y = 200

0.08x + 0.24y = 0.18(200)

Step-by-step explanation:

x + y = 200

0.08x + 0.24y = 0.18(200)

The equations which describes the amount of 8% solution used and the amount of 24% solution used are: x+ y=200 and x+3y=450.

An equation is a relationship between two or more variables. They are mostly present in equal to form and are equated to find the value of variables present in them.

let the amount of 8% solution used be x and the amount of 24% solution used be y.

According to question the amount of total solution will be 200ml, So, the equation will be:

x +y=200

Now we have been said that the solution will be 18% saline and 8% saline mixture and 24% saline mixtures are used, So the next equation will be:

0.08x+ 0.24y=0.18*200

8x/100+24/100=18/100*200

8x+24y=3600

8(x+3y)=3600

x+3y=450

Hence the equations which shows the amount of solutions will be x+y=200 and x+3y=450.

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Answer:

11/12

Step-by-step explanation:

5/4 ---- 15/12

1/3------ 4/12

11/12

Answer:

11/12

Step-by-step explanation:

Hello! The answer to this question is 11/12. In this case, we want to make the denominator the same. To make the denominator the same we need to find the lowest common multiple. In this case the lowest common multiple is 12, (because 12 is the smallest number that 3 and 4 are both factors for.) 4x3=12 so now the denominator in 5/4 is 12 but whatever we do the bottom we do to the top. So since we multiplied the bottom (denominator) by 3 we have to multiply the top (numerator) by 3 as well. 5x3=15. Therefore, we now changed 5/4 to 15/12. Now, we have to do the same to the 1/3. 3x4= 12. 1x4=4. Now we have the two numbers, 15/12 and 4/12. 15/12-4/12=11/12! Therefore, your answer is 11/12. Hope this explanation helps! Happy learning!

Equation of parabola: y =ax² and receiver should be placed 18 feet above vertex.

Explanation:

Considering satellite dish as parabola we can have vertex as origin and concave upward.

So, equation of parabola will be justifying structure of satellite dish i.e

y = ax² -------(1)

Two points other than (0,0) are (-12,2) and (12,2), unit being feet.

This points will satisfy equation of parabola, substituting them in equation 1, we will calculate the value of constant 'a'.

a = \(\frac{2}{12^{2} }\)

\(\frac{2}{2*6*12}\\ =\frac{1}{72}\)

Substituting value of a = 1/72 in equation 1 we get

72y = x²

As receiver need to be located at focus, so it will be places at a distance of 'p' above the vertex

4p = 72

Dividing both sides by 4, we get

p = 18 feet

So, receiver will be placed at a distance of 18 feet above vertex.

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Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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the area of the given fig will be (12 × 7) +(12 × 7)

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

a floor covered with white tiles and gray tiles.

the area of the given figure will be

(12 × 7)  and another (12 × 7)

So the total area will be (12 × 7) +(12 × 7)

Hence the area of the given fig will be (12 × 7) +(12 × 7)

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Answer:

135.4166

Step-by-step explanation:

The rate of the first athlete is greater than the rate of the second athlete.

To determine if the rate of the first athlete is greater than, less than, or equal to the rate of the second athlete, we need to compare their average speeds.

The average speed of an athlete is calculated by dividing the distance traveled by the time taken.

For the first athlete who runs 3 miles in 24 minutes, the average speed can be calculated as:

Speed1 = Distance1 / Time1 = 3 miles / 24 minutes = 1/8 miles per minute.

For the second athlete who runs 4 miles in 33 minutes, the average speed can be calculated as:

Speed2 = Distance2 / Time2 = 4 miles / 33 minutes.

To make a comparison, we need to convert both rates to a common unit. Let's convert both rates to miles per minute:

Speed2 =\((4 miles / 33 minutes) * (24 minutes / 24 minutes)\) = (96 miles / 792 minutes) ≈ 0.1212 miles per minute.

Comparing the two rates, we see that Speed1 (1/8 miles per minute) is greater than Speed2 (0.1212 miles per minute). The rate of the first athlete is greater than the rate of the second athlete.

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Answer: $20.05

Step by step equation: 240.60 divided by 12

I am very sorry is this answer is incorrect.