Rahquez and Francesca both leave the coffee shop at the same time, but in opposite directions. If
Francesca travels 5 mph faster than Rahquez and after 3 hours they are 105 miles apart, how fast is each
traveling?

Answers

Answer 1

So Rahquez is traveling 20 mph, and Francesca is traveling 25 mph in opposite direction.

Define acceleration.

Acceleration is the rate of change of velocity of an object. It is a vector quantity that has both magnitude and direction. Mathematically, it is the derivative of velocity with respect to time. In simpler terms, it is the change in speed or direction of an object over time. If an object is speeding up, it is said to have a positive acceleration, while if it is slowing down, it has a negative acceleration.

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position. It has both magnitude and direction. The magnitude of velocity is the speed of an object, which is the distance covered per unit of time. The direction of velocity is the direction of the motion of an object. The standard unit of velocity is meters per second (m/s) or miles per hour (mph).

Let's call Rahquez's speed "R" and Francesca's speed "F". We know from the problem that:

F = R + 5 (Francesca is traveling 5 mph faster than Rahquez)

We also know that after 3 hours they are 105 miles apart, so we can set up an equation using distance = speed x time:

105 = (R + F) * 3

Now we can substitute the first equation into the second equation:

105 = (R + (R + 5)) * 3

Simplifying and solving for R, we get:

R = 20 mph

So Rahquez is traveling 20 mph, and Francesca is traveling 25 mph (since F = R + 5).

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Related Questions

What is the slope of the line that passes through the points (-4, -6) and (1, -6)? Write your answer in simplest form

Answers

The slope of the line that passes through the points (-4, -6) and (1, -6) is zero and hence the line is parallel to the x-axis.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or rate of change is large.

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, The slope of the line that passes through the points (-4, -6) and (1, -6) is,

m = (- 6 + 6)/(- 4 - 1).

m = - 0/5.

m = 0.

As the slope is equal to zero the line is parallel to the x-axis.

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prime numbers of the form p and p+2, where p is a prime number, are known as ______ prime numbers

Answers

Prime numbers of the form p and p+2, where p is a prime number, are known as twin prime numbers.

What is the Prime numbers about?

A twin prime is a prime number that is either 2 less or 2 more than another prime number. For example, the number 3 and 5 are twin primes, because they are both prime and the number 5 is 2 more than 3. Similarly, the number 5 and 7 are also twin primes, because they are both prime and the number 7 is 2 more than 5.

Therefore, Twin primes are considered as interesting numbers in number theory because of their relative rarity, rare in nature and because they are the building blocks for certain types of primes such as Sophie Germain primes and safe primes.

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8. Crayons are packed in boxes of 8 and 10 pieces. What is the smallest number of crayons
that can be packed using the boxes?
B. 48 crayons
C. 50 crayons
A. 40 crayons
D. 54 crayons​

Answers

Step-by-step explanation:

48 is the answer it is correct check it

question is in photo

Answers

ask a tutor on here they will help u with all answers !!!

I need the answer fast pls

Answers

Answer:

13 is the right answer

Step-by-step explanation:

is the right answer

A traffic radar records the speed of cars driving through an intersection. It records these statistics:

Mean=36.2 mph
Median=28.5 mph
Mode=30.0 mph

What is the most common speed of a car driving through the intersection?
a. 31.6
b. 36.2
c. 30.0
d. 28.5

Answers

The most common speed of a car driving through the intersection is 30.0 mph which is indicated by the Mode.

What is the mode of data?

A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.

In the case of ungrouped data, all that is required is to find the observation that happens most frequently.

A traffic radar records the speed of cars driving through an intersection. It records these statistics:

Mean = 36.2 mph

Median = 28.5 mph

Mode = 30.0 mph

As per the question, a car driving through the intersection at 30.0 mph is the most common speed.

This is indicated by the Mode which is the value that appears most frequently in a data set.

Hence, the correct answer would be an option (C).

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The school cafeteria offers three choices for the main course (peanut
butter and jelly sandwich, burrito, or fish sticks) and two choices for the
side dish (vegetables or potatoes) and three choices for the dessert (ice
cream, brownie, or cookies). How many different combinations can the
students order from these choices?

Answers

Answer: 18 different combinations

Step-by-step explanation: When finding out combinations, you just multiply all the numbers. In this case, it would be 3x2x3 which equals 18. Please mark brainliest <3

help me with this question please

Answers

Answer:

[tex] \sf \: a) \: 1[/tex]

Step-by-step explanation:

Given values of variables,

→ e = 3.2

→ d = 10

→ u = 7

The problem needed to solve is,

[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]

[tex] \sf \rightarrow \: \frac{(7 \times 3.2)}{(3.2 \times 7)} [/tex]

[tex] \sf \rightarrow \: \frac{22.4}{22.4} [/tex]

[tex] \sf \rightarrow \: \frac{1}{1} = 1[/tex]

Hence, option (a) is correct.

Answer:

Option A ) 1

Step-by-step explanation:

[tex]\frac{ue}{eu} = \frac{3.2X7}{7X3.2} = \frac{22.4}{22.4} = 1[/tex]

Hence , Option A ) is the answer

The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 4.5 inches. If the length must be 1.5 times the height, what should each dimension be?

Answers

6.75!!! You either times 4.5 and 1.5 or divide!

For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year. The value, V(t) of $537,000 worth of assets after t years, that depreciate at 17% per year, is given by the formula V(t) = Vo(b)t. What is the value of Vo and b, and when rounded to the nearest cent, what are the assets valued at after 9 years?

a
Vo = $537,000, b = 0.17, and the value after 9 years is $0.45

b
Vo = $537,000, b = 0.83, and the value after 9 years is $100,386.92

c
Vo = $537,000, b = 1.17, and the value after 9 years is $98,291.76

d
Vo = $537,000, b = 0.83, and the value after 9 years is $91,290.00

Answers

Answer:

I think it is D

Step-by-step explanation:

What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?


Enter your answers in the boxes.

Answers

The line that passes through these two points is y=x-2

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here function whose graph contains the points (9, 7) and (4, −8)

Thus using the two point formula for a line we get the equation as              y-7=(x-9)

y=x-2

Hence, The line that passes through these two points is y=x-2

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أحتاج إلى مساعدة كيف تقدم كوزي free brainleist if you tell me!

Answers

Answer:

i need help how to progress cozy

Step-by-step explanation:

Answer:

ضع رأسك على كتفي ~  Its so cool that you speak arabic i speak a little bit

Step-by-step explanation:

Hope you have a good day and summer!

Can i have brainliest please also? i need one to level up my ranking on here

can someone help it’s due tomorrow

Answers

Answer:

It is A

Step-by-step explanation:

a is between 0 and 1 because in that little section in the fourth quadrant(the bottom right part of the graph) the y increases by around 12, and the x only increases by 8, which means the slope is 8/12, or 2/3. a is equal to the slope, so it is between 1 and 0. b is less then 1, because the y intercept is below the x axis, and b controls the y intercept, so b is negative, and therefore less then 1. Sorry if this is a bad explanation.

(3,4) m=0

Formula
Y-y=m(x-x1)

Answers

Answer:

[tex]y1 = 4 \\ x1 = 3[/tex]

[tex]y - y1 = m(x - x1)[/tex]

[tex]y - 4 = 0(x - 3)[/tex]

[tex]y - 4 = 0[/tex]

[tex]y = 4[/tex]

multiply the following binomials
(x+3)(x-4)
(s-2)(2s+4)

Answers

Step-by-step explanation:

x²-4x+3x-12

x²-x-12.

2s²+4s-4s-8

2s²-8

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

9.3

Step-by-step explanation:

Answer:

9.3

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2}[/tex]

[tex]6.1^{2} +7^{2} =C^{2}[/tex]

[tex]37.21+49=C^{2}[/tex]

[tex]86.21=C^2[/tex]

[tex]9.28493403315=C[/tex]

[tex]9.3=C[/tex]

3 2/5 divided by 2 7/8 equals

Answers

Answer:

17/5÷23/8= 1  21/115

The answer is 1  21/115

!!!!!! URGENT PLS HELP ME ANSWER !!!!

Answers

Answer:

1) A = 547.1136, C = 82.896

2) A = 678.5226, C = 92.316

3) A = 844.5344, C = 102.992

4) A = 1554.49625, C = 139.73

5) A = 1561.4906, C = 140.044

6) A = 994.8776, C = 111.784

Step-by-step explanation:

1)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{26.4}{2})^2 = 3.14 * 13.2^2 = 547.1136[/tex]

[tex]C = \Pi D = 3.14 * 26.4 = 82.896[/tex]

2)

[tex]A = \Pi r^2 = 3.14*(14.7)^2 = 678.5226[/tex]

[tex]C = 2\Pi r = 14.7*2 * 3.14 = 92.316[/tex]

3)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{32.8}{2})^2 = 3.14 * 16.4^2 = 844.5344[/tex]

[tex]C = \Pi D = 3.14 * 32.8 = 102.992[/tex]

4)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{44.5}{2})^2 = 3.14 * 22.25^2 = 1554.49625[/tex]

[tex]C = \Pi D = 44.5*3.14 = 139.73[/tex]

5)

[tex]A = \Pi r^2 = 3.14*22.3^2 = 1561.4906[/tex]

[tex]C = 2\Pi r = 2 * 3.14 * 22.3 = 140.044[/tex]

6)

[tex]A = \Pi r^2 = 3.14 * 17.8^2 = 994.8776[/tex]

[tex]C = 2\Pi r = 2 * 3.14 * 17.8 = 111.784[/tex]

17. Among 2.6, 2.006, 2.66 and 2.08, the largest number is (a) 2.006 (b) 2.08 (c) 2.6​

Answers

Answer:

2.66

Step-by-step explanation:

Answer:

2.66

Step-by-step explanation:

look at first at tenths for the biggest no .if there is a tie proceed to hundredths for biggest no and so on

A researcher wishes to determine what percentage of college freshmen also work full time. To do this, the researcher obtains a list of all enrolled freshunen, manipulates the list so that females appear twice is often as males, and then selects from this list

a. Probability Sampling
b. Convenience Sampling
c. Voluntary Sampling
d. Stratified Sampling
e. None of the above

Answers

Answer:

d. Stratified Sampling

Step-by-step explanation:

Stratified Sampling is a form of sampling in which the researcher selects a population sample based on a demographic factor or strata such as race or gender. From the different strata, a random sample is then made such that each group or subpopulation is represented in the final sample.

It should be noted that retaining the percentages while selecting a randomized sample is essential to stratified sampling.

Hence, in this case, when the researcher obtains a list of all enrolled freshmen, manipulates the list so that females appear twice as often as males, and then selects from this list, this is an example of stratified sampling

pls help last test or semester half my grade pls pls pls i’ll give brainliest

Answers

Therefore , the solution of the given problem of function comes out to be satisfies the given function is x=9 and y=21.

What is function?

Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.

Here,

Given : A table of values of x and y

To find : the function is linear or not

Thus,

F(x) = y -3x =0

So,

Putting the values of x and y in given function

The value which satisfies the given function is x=9 and y=21.

Therefore , the solution of the given problem of function comes out to be

satisfies the given function is x=9 and y=21.

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A lap around a track is 2/5 of a mile.

How many laps is a 1 1/2 mile race?

A. 4/15
B. 3/5
C. 1 1/10
D. 1 1/5
E. 3 3/4

Answers

2.2 laps is a 1 1/2 mile race.

What is a lap?

When a driver or a runner makes one trip around the track i.e. one full circle it is called lap.

Given a lap around a track is 2/5 of a mile.

1 lap =2/5 mile

x lap = 11/2 mile

x lap =(11/2) ÷(2/5)

x lap = 11/5 or 2.2

Thus 2.2 laps is a 1 1/2 mile race.

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A science teacher makes two mixtures of red dye and water. Mixture A has 3 mL of red dye every 20 mL of water. Mixture B has 4mL of red dye fr every 30 mL of water. Which mixture is redder?

Answers

The decimal value of the ratio for A is greater than for B. Then mixture A is redder.

What is Algebra?

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

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Two red dye and water combinations are created by a science teacher. For every 20 mL of water in Mixture A, 3 mL of red dye is present. For every 30 mL of water in Mixture B, 4 mL of red dye is present.

The ratio of the red dye to water for A is given as,

⇒ 3 / 20

⇒ 0.15

The ratio of the red dye to water for B is given as,

⇒ 4 / 30

⇒ 0.133

The decimal value of the ratio for A is greater than for B. Then mixture A is redder.

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You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions. In that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash
(when the first beacon comes around for the second time). One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. If the beacons are set 120 degrees apart along the rotation, ash shown below, what is this ratio?

Answers

The required ratio is 1:2.

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given that, A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions, it can be a shorter time between the first and second flashes than between the second flash and the third flash,  One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. The beacons are set 120 degrees apart along the rotation

If the second beacon is 120° after the first, then the first is 360° -120° = 240° after the second.

Therefore, the ratio of the times between beacons is =

120° : 240° = 1 : 2

Hence, the ratio is 1 : 2

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Which is the largest interval over which the function shown in the table is increasing?

A. X<-2
B. X<0
C. X>0
D. X>2

Answers

Step-by-step explanation:

I would suggest graphing the function, as I did, and you will find the function is an inverted parabola.

The function is increasing at points along the function that have a positive slope.  Imagine a line tangent to the function where m is > zero

based on that and the graph you can see that the function is increasing with a positive slope at all points less than zero     x<0  answer B

State how many negative real roots there may be for the function.
f(x) = x³ +7x² - 5x + 19

4 or 2 or o negative real roots
2 or o negative real roots
3 or 1 negative real roots
1 negative real root

Answers

There are two sign changes in the coefficients, which means that there could be 2 or 0 negative roots. So the answer is "2 or 0 negative real roots"

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Define Algebraic expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

The function f(x) = x³ +7x² - 5x + 19 is a polynomial function of degree 3, which means it has 3 roots (also known as zeros or solutions) that could be real or complex.

To determine the number of negative real roots, we can use the fact that a cubic function has at least one real root.

x³ +7x² - 5x + 19

the first coefficient is positive, the second is positive, the third is negative, and the fourth is positive.

There are two sign changes in the coefficients, which means that there could be 2 or 0 negative roots. So the answer is "2 or 0 negative real roots"

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3. Solve for m. Please help

Answers

Answer:

m = 13 or greater

Step-by-step explanation:

20 - 7 = 13

13 is the minimum value for m to satisfy the inequality.

Answer:

m ≥ 13

Step-by-step explanation:

m+7 ≥ 20

Subtract 7 from both sides:

m+7-7 ≥ 20-7

m ≥ 13

u
Question 8
Find the value of the variable in the parallelogram.
(6a + 10)
130°

Answers

Answer:

20

Step-by-step explanation:

(6a + 10) = 130

(6 x 20) + 10 = 130

120 - 10 = 130

130 = 130

What is the simplified value of the expression below?

3 (8 minus 4) + 2 times 5.5

Answers

Answer:

23

Step-by-step explanation:

Question 2(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length and g the line segment shown
!!!!please help me!!!!

Answers

The measurement of the hypotenuse is obtained as 9 units using the Pythagoras theorem.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

According to the graph -

The perpendicular measures 4 units.

The base measures 3 units.

To find the hypotenuse g apply the Pythagoras theorem -

(hypotenuse)^2=(base)^2+(perpendicular)^2

(g)^2=(3)^2+(4)^2

(g)^2=9+16

(g)^2=25

g=[tex]\sqrt{25}[/tex]

g=5

Therefore, line segment g measures 5 units.

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