Two cars left the city for a suburb, 120 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the speed of the other, and that is why it arrived at the suburb 1 hour before the other car. Find the speeds of both cars.

Answer:

$50

Step-by-step explanation:

3/5=30/x

x= The total cost

You can see that 3×10 multiplies to 30, so the total cost would be 5×10.

Total cost= 50

the answer is 2 because you can't divided 2 by anything else other then itself

16/25 (× 4 -up & down)

=64/100 (devide)

=0.64%

Answer:

option (c)

42 minutes

Step-by-step explanation:

Given in the question:

cruising speed of passenger plane = 570 miles/hour

distance passenger plane travelled = 400 miles

distance = speed x time

time = distance / speed

time = 400 / 570

       = 0.7018 hours

1 hour = 60 minutes

228000 hours = 60 x 0.7018 minutes

                         = 42.1052 minutes

                         ≈ 42 minutes

Closest to the length of time, in minutes, that Captain Tellez's plane will maintain cruising speed is 42 minutes.

Answer:

6 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (- 7, - 5)

d = [tex]\sqrt{(-7+7)^2+(-5-1)^2}[/tex]

  = [tex]\sqrt{0+(-6)^2}[/tex] = [tex]\sqrt{36}[/tex] = 6 units

Final answer:

The distance between the points (-7, 1) and (-7, -5) on the coordinate plane is 6 units, calculated by the absolute difference in their y-coordinates.

Explanation:

The distance between the points (-7, 1) and (-7, -5) on the coordinate plane can be found by calculating the difference in their y-coordinates. Since the x-coordinates are the same, the points lie on a vertical line, and the distance is simply the absolute difference in the y-coordinates.

The calculation would be: distance = |y2 - y1| = |-5 - 1| = | -6 | = 6 units

Therefore, the distance between the two points is 6 units.

Answer:

A'(-6,30)

B'(12,24)

C'(6,12)

Step-by-step explanation:

By definition, dilation is a tranformation in which the the image and the pre-image have the same shapes but differente sizes.

You know that:

- The vertices of ABC are:  A(-2,10), B(4,8),C(2,4).

- The scale factor is 3.

- The center of dilation is at the origin.

By definition, if the scale factor is greater than 1, then the image is an enlargement.

Therefore, you must multiply each original vertex by 3:

(x,y)→(3x,3y)

Then the coordinates A',B' and C' are:

A'→ [tex](-2(3), 10(3))=(-6,30)[/tex]

B'→ [tex](4(3), 8(3))=(12,24)[/tex]

C'→ [tex](2(3), 4(3))=(6,12)[/tex]

Hello people of AMERICA!!! :)

Answer:

[tex]A.\ y-6=-\dfrac{5}{6}(x+5)\\\\B.\ y-1=-\dfrac{5}{6}(x-1)[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-5, 6) and (1, 1). Substitute:

[tex]m=\dfrac{1-6}{1-(-5)}=\dfrac{-5}{6}\\\\\text{For point (-5, 6):}\\\\y-6=-\dfrac{5}{6}(x-(-5))\\\\y-6=-\dfrac{5}{6}(x+5)[/tex]

[tex]\text{For point (1, 1):}\\\\y-1=-\dfrac{5}{6}(x-1)[/tex]

Answer:

I got 882

Step-by-step explanation:

I did what is 75% of 1,176

comment the choices and I can tell you the answer. from a guess I would say kilogram

Kilograms kg is the unit of measurement would be most appropriate for measuring the mass of a train.

Mass is defined as the matter that is present in the given object. Following are the most commonly used units for the measurement of mass:

SI Unit of Mass;

The standard SI unit of mass is as; kilogram (kg)

Other units that are accepted for use in SI are gram (g) and its multiples and submultiples, a tonne (t) (or “metric ton”), electronvolt (eV), the atomic mass unit (u) which is most convenient for expressing the masses of atoms and molecules.

Hence, Kilograms kg is the unit of measurement would be most appropriate for measuring the mass of a train.

Learn more about unit measurement here;

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Answer:

i believe its 27

Step-by-step explanation:25 times two= 50 27 times two= 54 +one more is 55. so it is 27

Answer:

Step-by-step explanation:

Givens

We know that the total number of chairs must be the product between the number of chairs per row and the total number of rows, which can be expressed as

[tex]c \times r = 55[/tex]

Where [tex]c[/tex] represents the number of chairs per row and [tex]r[/tex] representes the number of rows.

The second given statment defined a second equation

[tex]r=2c+1[/tex]

Now, we can substitute the second equation into the first one, and solve

[tex]c \times r = 55\\c (2c+1)=55\\2c^{2}+c-55=0[/tex]

Which can be factored by multiplying the expression by 2, and solve has a perfect trinomial

[tex]2(2c^{2}+c-55)=0\\2^{2}c^{2}+2c- 110=0\\(2c)^{2}+2c-110=0[/tex]

So, we need to find two number which product is 110 and is 1. If you think this through, those numbers are 11 and 10, because 11*10=110 and 11-10=1.

The factors are

[tex]\frac{(2c+11)(2c-10)}{2} =0[/tex], we have to divide by the number we multiplied before, then we simplify this number with the second factor

[tex](2c+11)(c-5)=0[/tex]

Where the positive solution is the only one that can be part of the answer because it doesn't make sense if we say -3 chairs. So,

[tex]c-5=0\\c=5[/tex]

This means there are 5 chairs per row.

Then, we use this value to find the other one.

[tex]c \times r=55\\5 \times r=55\\r=\frac{55}{5}\\ r=11[/tex]

Therefore, there are 11 rows and 5 chairs per row.

Answer: x + 3

Step-by-step explanation: In this question you need to know that a sum is the answer when you add numbers. In this case x = any number. The expression is x + 3

Answer:

Step-by-step explanation:

Hello

Being X represented on any number, the expression will be:

X+3

Best regards

One centimenter is 0.01 meters. So, you can write the measures as

[tex] 152.40\text{m},\quad 205.10\text{m},\quad 310.39\text{m}[/tex]

Once this rewriting is done, getting the total length [tex]T[/tex] is quite trivial, since all measurements are in the same unit, and we can simply sum everything:

[tex]T = 152.40+205.10+310.39 = 667.89[/tex]

Answer:

Every time you multiply by 10, you move all the digits one place to the left. You could also think about so that the decimal point moves one place to the right.

Step-by-step explanation:

Answer: The answer to the problem is 37.2

Step-by-step explanation: When you are multiplying a number by 10 you need to move the decimal point one place to the right. 3.72 x 10 = 37.2.

Answer:

C.)

| 7 | = | -7|

Step-by-step explanation:

because absolute values are always positive....so, absolute values of  | -7 | and | 7 | are both 7

Answer:

Step-by-step explanation:

7 I guess

Answer: a compound event is when only 2 things can happemn

you divide the first number by the second number

you would creat a spinner with several collers then each coler would be a event you spin and that coler is the event

7/37

please give me brainly

Step-by-step explanation:

An example of a compound event is tossing a coin and drawing a card; it involves multiple independent events. A spinner for probability should represent outcomes fairly. The probability that Max picks 2 cat's eye marbles consecutively is calculated by multiplying the probability of each selection.

Understanding Compound Events and Probability

An example of a compound event is tossing a coin and drawing a card from a poker deck simultaneously. It is classified as a compound event because it consists of two independent events that result in a combined outcome. The probability of a compound event is calculated using the product rule when the events are independent. This is done by multiplying the probabilities of each independent event occurring on its own.

To create a spinner that simulates the probability of an event, identify all the possible outcomes and ensure they are represented on the spinner fairly, with areas proportional to the probabilities of the outcomes. Spin the spinner a large number of times, documenting the outcomes to estimate the probability based on relative frequency.

Calculating the probability that Max picks 2 cat’s eye marbles in a row involves dependent events since the outcome of the first draw influences the outcome of the second. Initially, there is a 7/37 chance of picking a cat’s eye marble. Once one is picked, there are 6 cat’s eye marbles left and 36 marbles in total, so the probability of the second pick being a cat’s eye marble is 6/36. The combined probability is (7/37)*(6/36).

Answer:

1. 12 bags for total cost of 119.88

2. Yes. You'll make $180.12 for your labor.

3. Other tools, transportation, weather delay etc.

4. $28.02

5. Yes

Step-by-step explanation:

Begin by finding the area of the field. The field is a rectangle and measures 360 by 160. The area is A = l*w = 360*160 = 57,600 square feet. One bag of fertilizer will cover 5000 square feet. Divide 57,600 by 5000 to find the number of bags needed. You'll need 11.52 bags or rounded 12 bags.

Since each bag costs $9.99, multiply 12 by $9.99 to get the total cost for the fertilizer. The cost is $119.88. If the athletic department pays you $300. You'll make 300 - 119.88 = 180.12 for your labor. This is a good profit.

If you have to purchase another tool for $40, then the cost increases to 159.88. This decreases your profit to 180.12 - 40 = 140.12. Divide your profit 140.12 by the 5 hours you work to find how much you earn per hour. You earn $28.02 per hour.

Yes, I would take the job, since $28.02 is well above minimum wage.

The problem is a basic mathematical exercise involving negative and positive numbers related to bank transactions. The original balance is overdrawn and represented as a negative number, and then deposits and withdrawals are added and subtracted respectively to find the new balance which still ends up overdrawn.

The problem given is about mathematical operations and bank transactions. The subject here is a subtraction and addition problem involving negative and positive numbers. The initial account balance represented as '––$324' shows an overdrawn account and is a negative number. Then, the account holder deposited checks, which is a positive value represented by '3(150)', and each deposit is $150 making it a total deposit of $450. Then, the account holder made withdrawals represented by '4(–20)', each withdrawal of $20 thereby making a total withdrawal of $80. Therefore, to find the new balance of the account, the calculation should be as follows: '–324 + 3(150) – 4(20) -> –324 + 450 – 80', which equals 46, indicating that the account is overdrawn by $46.

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If 1 inch equals 20miles then 8 inches equals 20 x 8 = 160 miles.

So you want to find out the distance for both the cities. Since there are 8 inches to both cities, then the answer would be 160 miles since every inch would equal to 20 miles, which is the actual distance.

Hope this helped!

Nate

Answer:

the answer is 25

Step-by-step explanation:

1/2(130-80)

Answer:

(B)

Step-by-step explanation:

Given: It is given that arc AD=130° and arc AB=arc CD=80°.

To find: The measure of ∠APD.

Solution: It is given that arc AD=130°⇒m∠AOD=130° (The measure of the central angel is equal to the intercepted arc)

Also, arc AB=arc CD=80°⇒m∠AOB=m∠DOC=80° (The measure of the central angel is equal to the intercepted arc)

We know that the sum  of the central angles is equal to 360°, thus

m∠AOD+m∠AOB+m∠BOC+m∠COD=360°

⇒130°+80°+m∠BOC+80°=360°

⇒290°+m∠BOC=360°

⇒m∠BOC=360°-290°

⇒m∠BOC=70°

Now, since  (The measure of the central angel is equal to the intercepted arc), therefore arcBC=70°.

Also, we know that Angle Formed by Two Secants is half of the DIFFERENCE of Intercepted Arcs, therefore

[tex]m{\angle}APD=\frac{1}{2} (arcAD-arBC)[/tex]

Substituting the values, we get

[tex]m{\angle}APD=\frac{1}{2} (130-70)[/tex]

⇒[tex]m{\angle}APD=\frac{60}{2}[/tex]

⇒[tex]m{\angle}APD=30^{\circ}[/tex]

Thus, the measure of ∠APD is 30°.

Hence, option B is correct.

Answer:

x = 2

How?:

1/4 ÷ 1/8 = 0,25

0.25 as a fraction is 1/4

1/8 × 2 = 1/4

Answer: n< -4 , or Interval notation as ( -∞, -4 )

Step-by-step explanation:

* Hopefully the work below helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

Step-by-step explanation:

-n > 4            change the signs

n < -4

Answer:

2x + 3y = 10,  3y = 18  (in both cases, for each input x, there is exactly one output y.

Step-by-step explanation:

3y = 10 - 2x, or y = (1/3)(10 - 2x)   Yes, this is a function.

4x = 16 → x = 4        NOT a Function, because for x = 4 there are an infinite number of possible y -values

2x - 3 = 14 →  2x = 17  →  x = 17/2  Not a function.  See reason given above.

3y = 18 →  y = 6   Function

2x = 14.6   →  x = 7.3  Not a function.  See reason given above

Answer:

it's a i got it right

Step-by-step explanation:

The predicted number of times a consonant will not be could be picked is 58 times.

The total number English alphabets = 26

Number of non consonant letters = 5

The probability of choosing a non-consonant letter at random from a single pick :

Number of  non- consonant letters / total number of alphabets = 5 /26

To predict the number of times a non-consonant letter could be selected from 300 selections :

(Number of selections × probability per pick)

(300 × 5/26)

= 57.69

= 58 times

A non- consonant could be selected approximately 58 times.

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[tex]\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Judy spent time}}{\stackrel{\textit{Kaitlin's time}}{\cfrac{2}{3}}\cdot \cfrac{3}{2}}\implies \cfrac{2}{2}\cdot \cfrac{3}{3}\implies 1~\hfill \boxed{\cfrac{1}{2}}\rule[0.35em]{3em}{0.25pt}\stackrel{\stackrel{Judy's}{\downarrow }}{1}\rule[0.35em]{5em}{0.25pt}\stackrel{1\frac{2}{3}}{\boxed{\cfrac{2}{3}}}[/tex]

so, Judy's time is really 1 hour exactly.

and on the number line, we could place that 1 in between the first half and the two thirds of the of the next number, as you see above.

There is a mistake in the question as Judy's homework time cannot be between 2/3 and 1/2 of an hour if she spent 1 1/2 times as much time as Kaitlin who spent 2/3 of an hour. Judy's homework time would be 1 hour.

The question seems to have a typo or a logical error, as it is not possible for Judy's homework time, which is 1 1/2 times Kaitlin's time, to be between 2/3 of an hour and 1/2 of an hour. Instead, if Kaitlin spent 2/3 of an hour on homework, Judy would have spent (2/3) * (3/2) = 1 hour on homework, which is more than both 2/3 and 1/2 of an hour. It appears that Judy's actual homework time would be exactly one hour, not between the two given times.

Answer:

[tex]p = -10x + 200[/tex]

[tex]m = -10x^2 +200x[/tex]

Step-by-step explanation:

We know that at a price of $ 150, 5 televisions are sold and at a price of $ 100, 10 televisions are sold.

We must write a linear equation for this situation.

The equation of the line will have the following form

[tex]p = mx + b[/tex]

Where m is the slope of the line and b is the intercept with the p axis

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{100-150}{10-5}=-10[/tex]

[tex]b=p_1-mx_1\\\\b=150-(-10)(5)\\\\b=200[/tex]

The equation is:

[tex]p = -10x + 200[/tex]

Now we know that the revenue m is the product of the price p for the quantity sold x.

[tex]m = p * x[/tex]

[tex]m=(-10x + 200)*x[/tex]

[tex]m = -10x^2 +200x[/tex]

Answer:

[tex]p=-10x+200[/tex]

[tex]m = -10x^2+200x[/tex]

Step-by-step explanation:

Given : An electronics store discovers that it can sell 5 televisions per day by pricing them at $150. When the televisions are on sale for $100 the store sells 10 of them every day.

To Find: Write a linear equation to compare the price of a television, p, to the number sold, x. Then write a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x.

Solution:

Let p be the price and x be the no. of television sold

We are given that  it can sell 5 televisions per day by pricing them at $150. When the televisions are on sale for $100 the store sells 10 of them every day. i.e(5,150) and (10,100)

Now to find the linear equation to compare the price of a television, p, to the number sold, x.

We will use two point slope form

Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(5,150)[/tex]

[tex](x_2,y_2)=(10,100)[/tex]

Substitute the values in the formula

[tex]y-150=\frac{100-150}{10-5}(x-5)[/tex]

[tex]y-150=\frac{-50}{5}(x-5)[/tex]

[tex]y-150=-10(x-5)[/tex]

[tex]y-150=-10x+50[/tex]

[tex]y=-10x+50+150[/tex]

[tex]y=-10x+200[/tex]

x is the no. of television sold

y is the price

Since p denotes the price

So,  [tex]p=-10x+200[/tex]

Thus a linear equation to compare the price of a television, p, to the number sold, x is   [tex]p=-10x+200[/tex]

Now [tex]Revenue = Cost \times quantity[/tex]

Since price of x telivisons = [tex]p=-10x+200[/tex]

So,  [tex]Revenue = (-10x+200) \times x[/tex]

[tex]Revenue = -10x^2+200x[/tex]

m denotes revenue

So,[tex]m = -10x^2+200x[/tex]

Thus a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x. is [tex]m = -10x^2+200x[/tex]

Hence a linear equation to compare the price of a television, p, to the number sold, x is   [tex]p=-10x+200[/tex] and a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x. is [tex]m = -10x^2+200x[/tex]

Answer:

The slope is 9.5

The equation is y = 9.5x

Step-by-step explanation:

The equation is in the form of y = mx + b, where m represents the slope.

 In the case of our situation, y = 9.5x , b = 0 and m = 9.5

9.5 is the slope because that is the rate of change as x increases per ticket sale

The slope of the line that models this situation will be 9.5.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Heading out to the films costs $9.50 per individual.

Let 'x' be the number of people and 'y' be the total cost. Then the equation is given as,

y = 9.5x

The slope of the line that models this situation will be 9.5.

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Answer:

The range is 13. Hope this helps.

Answer:

13

Step-by-step explanation:

Range = Highest value - lowest value

Range = 15-2

Range = 13

Hope This Helps:)

Make y the subject:

y = 6 - x

Now, use Elimination.

0 = 3x - 3

Divide both sides by 3:

0 = x - 1

So x = 1.

Substitute back into the equation:

y = 6 - (1)

So y = 5.

Hence, the answers are x = 1, y = 5.

Answer: 8%

Step-by-step explanation:

Answer:

8%

Step-by-step explanation: