Two buses leave a station at the same time and travel in opposite directions. One bus travels 18 km/h faster than the other. If the two buses are 1722 kilometers apart after 7 hours, what is the rate of each bus?​

1

substitute 9 as x because 9 is in the brackets

then follow bidmas

brackets first so -10 + 9 = -1

now indices so square -1 which is 1.

therefore you answer is 1

The temperature on Sunday was 20° C

To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

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On solving the provided question, we got by the help of Slope formula - [tex]= 5x - y + 5 = 0[/tex]

A line's slope can be calculated as the ratio of how much y rises when x rises by a specific amount. A line's slope, or how much y increases as x increases, is indicated by the word "slope." Along the straight line, the slope is constant (equal) everywhere.

From the figure we got that,

X1 = 0, Y1 = 5

X2 = -1, Y2 = 0

(0,5) and (-1,0)

By the of slope formula

[tex]\frac{y - y1}{x - x1} = (\frac{y2 - y2}{x2 - x1} )(\frac{x - x1}{y - y1} )[/tex]

[tex]{y - 5} = (\frac{0-5}{-1-0} )({x - 0 )\\\\\\[/tex]

[tex]= > 5x - y + 5 = 0[/tex]

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Answer:

Your answer is [tex]x = -1[/tex] and [tex]y = -2[/tex]

Step-by-step explanation:

(attached)

Simple random sampling is a sort of probability sampling in which a selection of participants is randomly chosen from a population by the researcher.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

Hence, In probability sampling, a sample is chosen from a population based on the randomization principle, also known as chance or random selection.

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Answer:

45

Step-by-step explanation:

True, In a paired test, a factor is what you are testing to see the effect of because its effect is unknown.

The paired t-test is a technique for determining whether or not the mean difference between two measurement pairs is zero. When your data values are paired measurements, you can apply the test.

The dependent samples t-test, paired difference t-test, matched pairs t-test, and repeated-samples t-test are other names for the paired t-test. You might not be able to test for normality if your sample sizes are too small. You might have to rely on your comprehension of the information. You might also do a nonparametric test that doesn't make the assumption of normality.

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Answer:

16

Step-by-step explanation:

AB = 20 - 12 = 8

BC = 8 : 2 = 4

CD = 4 + 12 = 16

Answer:

CD = 16

Step-by-step explanation:

Check the image for the steps

Answer:

20:50 or 2:5

Step-by-step explanation:

30 dogs

20 cats

50 total animals

Part to whole relationship:

20:50

The area of the given circle is 95 cm².

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, we know that the diameter of the circle is 11 cm.

Radius = Diameter/2

11/2

5.5 cm

Area of circle: πr²

3.14(5.5)²

3.14*30.25

94.985

Rounding off: 95 cm²

Therefore, the area of the given circle is 95 cm².

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Answer:

No

Step-by-step explanation:

The graph should be a line with negative slope, but the given graph is of a line with positive slope

On dividing 1658 by 25 , the quotient is equal to 66.32.

As given in the question,

Dividend is equal to 1,658

Divisor is equal to 25

Unit place value of 1658 is equal to 8.

25 is not a factor of 1658

Smallest number to 1658 divisible by 25 is 1650

Divide 1658 by 25 we get remainder

Dividend = ( Divisor × quotient) + remainder

1658 = 1650 + 8

        = ( 25 × 66 ) + 8

Remainder is equal to 8

Quotient is equal to 66

In decimal form

1658 ÷ 25

= 66.32 is quotient.

Therefore, the quotient of dividing 1658 by 25 is equal to 66.32.

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Answer:

check this one

Step-by-step explanation:

this is the answer

Answer: To find the x-intercept of a line, we set y equal to 0 and solve for x. To find the y-intercept of a line, we set x equal to 0 and solve for y.

For the line 5x + 17y = -25, we set y equal to 0 to find the x-intercept:

0 + 17y = -25

17y = -25

y = -25/17

Since we set y equal to 0, the x-intercept is (0, 0).

For the line 6x - 7y = -21, we set x equal to 0 to find the y-intercept:

6x - 7y = -21

-7y = -21

y = 21/7

Since we set x equal to 0, the y-intercept is (0, 21/7).

Therefore, the x-intercept of the line 5x + 17y = -25 is (0, 0) and the y-intercept of the line 6x - 7y = -21 is (0, 21/7).

Answer: 12/7

Step-by-step explanation:  The answer is 12/7 because here is what we know: A group of friends collected toys to donate to children in need. After sorting the toys into boxes, that's what we know,  we also know that they found they had 6/7 of a box of stuffed animals, and we also know that they found 5/7 of a box of board games and

1/7 of a box of doll. What they want to know is  In total, how many boxes of toys did the friends collect?  so you take 6/7 from the box stuffed animals they found + 5/7 from the box of board games they found which equals 11/7 then you add the 11/7 with the 1/7 the box of dolls they found.  In total the friends collect 12/7 boxes. Hope this helps!

The density of  a pumpkin with a mass of 2.0 kg and a volume of 0.0060m³ is  0.003 kg / m³.

Density of the matter means space taken by matter.

To find the density, density = mass of matter / volume of mass.

Given that mass of the pumpkin 2.0 kg and a volume of 0.0060 m³.

Now the density from the formula;

Density = mass of pumpkin / volume of pumpkin

Density = 2.0 / 0.0060

Multiply by 10000,

Density = 20000 / 60

Density = 2000 / 6

Density = 1000 / 3

Density = 0.003 kg / m³

Therefore, the density of  a pumpkin with a mass of 2.0 kg and a volume of 0.0060m³ is  0.003 kg / m³

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Answer:

x=4/3, 8/3

Step-by-step explanation:

We will solve this in two steps, one where the right hand side is 2, one where it is -2. This is because the equation is satisfied either way when [tex]|6-3x|[/tex] is equal to either of those values.

Let's start with 2. We have [tex]6-3x=2[/tex]. Subtracting 6 from both sides and then dividing by 3 gives us that x = 4/3. This is the first value.

Now, we solve for when it equals -2. We have [tex]6-3x=-2[/tex]. Subtracting 6 from both sides and then dividing by 3 gives us that x = 8/3. This is the second value.

Feel free to contact me with any questions about my answer. I hope this helps!

Your first step of simplifying is to distribute the "–" or "–1" in front of the second set of parentheses through that second set of parentheses.  The –1 must be distributed to every term in the second set:

    [tex]\begin{aligned}(4x^2-5x)-(4x^2-4x-8)&=(4x^2-5x)\boldsymbol{{}-1}(4x^2-4x-8)\\[0.5em]&=4x^2-5x\boldsymbol{{}-1(4x^2)-1(-4x)-1(-8)}\\[0.5em]&=4x^2-5x\boldsymbol{{}-4x^2+4x+8}\\[0.5em]&=-x+8\\\end{aligned}[/tex]

That's what changes the sign on every term in the second set of parentheses, making that –8 become +8.

Using proportions, James need 750ml for 24 pancakes

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

To find the amount of milk James need, we need to use proportions.

8 pancakes = 250ml milk

24 pancakes = x

cross multiply both side and make x the subject of formula

8 × x = 24 × 250

8x = 6000

Divide both sides by coefficient of x

8x / 8 = 6000 / 8

x = 750

He needs 750 ml of milk

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The equation of line in slope-intercept form is,

a.) y = -6x - 47

b.) y = x/6 - 8/3

What is Equation of line ?

A straight line's general equation is y = mx + b, where m denotes the gradient and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.

We know, slope-intercept form is

y = mx + b

The given equation is in point slope form,

a.) y + 5 = -6 (x + 7)

b.)  y + 2 = 1/6 (x-4)

Now, let's write each equation in slope-intercept form,

a.) y + 5 = -6 (x + 7)

y + 5 = -6x - 42

y = -6x - 42 - 5

y = -6x - 47            [which is slope-intercept form]

b.) y + 2 = 1/6 (x-4)

y + 2 = 1/6 * x - 1/6 * 4

y + 2 = x/6 - 2/3

y = x/6 - 2/3 - 2

y = x/6 - [2/3 + 2]

y = x/6 - [(2 + 6) / 3 ]

y = x/6 - 8/3            [which is slope-intercept form]

Hence, the equation of line in slope-intercept form is y = -6x - 47 and y = x/6 - 8/3  

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The value of the exponent illustrated as 27^1/3 is 3.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this situation, it should be noted that 27^1/3 simply means the cube root of 27. This will give a value of 3.

Check: 3 × 3 × 3 = 27.

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Answer:

-5x+9y=-18

Dividing both sides by -18

-5x/-18+9y/-18=-18/-18

5x/18-y/2=1

x/(18/5)-y/2=1. eqn(i)

eqn (i) is comparing with x/a+y/b=1, we get

x - intercept (a) =18/5

y-intercept (b) = -2

Therefore the solution of this question is ratio length =  every 1 inch of toy car represents 1.5 feet of actual car

In mathematics, a ratio shows how two numbers are multiplied together. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons. Lemons to oranges are divided 6:8 and oranges to all other fruits are divided 8:14 in a similar fashion.

Here,

A toy Jeep measures 12 1/2 inches.

Before calculating the ratio, let's first convert each size into the same unit of measure and decimal points:

=>12 ½ = 25/2  

=> 12.5 inches;

=> 18 ¾ = 75/4

=> 18.75 feet .

The actual length of a jeep is 18.75 feet.

The ratio can now be determined by converting feet to inches.

1 inch of a toy car equals 1.5 feet of an actual car because

=> 1 foot = 12 inches

=>  12.5 inches : 225 inches

 => 225 / 12.5

=> 18 inches

Therefore, every 1 inch of toy car represents 1.5 feet of actual car.

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Answer:

The combined value is $704

If you want the average pay as well it is about $235

Step-by-step explanation:

The problem asks for the combined value of the three paychecks. So all you have to do is add them to get 704.

I found the average value by adding them to 704 then dividing it by 3. The 3 came from the amount of values we have which is 3 paychecks. So we divide the total cost by 3 to get 235.

Answer:

Step-by-step explanation:

5

Answer:

Step-by-step explanation:

1 1/3 cups peanut butter

proof:

1 1/3 +1 1/3+1 1/3+1 1/3+1 1/3+1 1/3 = 8 cups

The resulting triangle is 7/10 the original triangle.

The focuses in the direction planes are A(0, 2), B(2, 1), C(- 2, - 2). In the event that the scale factor is 2, each direction point of the first triangle is duplicated by the scale factor 2. Subsequently, the expanded triangle will be A'B'C' and the direction focuses got are A'(0, 4), B'(4, 2), C'(- 4, - 4).

Let we have a triangle ABC,If this triangle undergoes a dilation with a scale factor of 7/10,

Then changed triangle is  A'B'C'

So, relation between them is A'B'C' = 7/10(ABC)

Thus, the resulting triangle is 9/5 multiple of triangle ABC.

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Answer:

smaller = 25, bigger = 65

Step-by-step explanation:

x = smaller

y = bigger

2x + 15 + x = 90

3x + 15 = 90

3x = 75

x = 25

y + x = 90

y + 25 = 90

y = 65

Answer: (-1, 3)

Step-by-step explanation:

Midpoint formula: ((x1 + x2) / 2, (y1+y2) / 2)

((-5+7)/2, (4+2) / 2))

((-2/2), (6/2))

(-1, 3)