Find the least common multiple of 15 and 50 .

Answer

is the B

Step-by-step explanation:

really easy

Quadrilateral RSTU was rotated, translated and dilated to form quadrilateral VXYZ.

Transformation is the movement of a point from its initial location to new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure to create an image.

Quadrilateral RSTU was rotated, translated and dilated to form quadrilateral VXYZ.

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Answer:

table 1: -7, -3, 1, 4, 9

Step-by-step explanation:

You put the numbers under x on the tables into the formula where the x is and solve for y.

if you need more answers let me know

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

The triangle is equilateral, therefore each angle must be 60.

Step-by-step explanation:

Answer:

\(-2\frac{1}{2}\)

Step-by-step explanation:

→ Minus the 2 numbers from each other

\(-1\frac{1}{5} -1\frac{3}{10}\)

→ Find the LCM

\(-1\frac{2}{10} -1\frac{3}{10}\)

→ Simplify

\(-2\frac{5}{10} =-2\frac{1}{2}\)

Answer:

A. 12

Step-by-step explanation:

Answer:

$26.25

Step-by-step explanation:

1.25 per day

21 days

1.25 × 21 = 26.25

Answer:

37.5

Step-by-step explanation:

We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.

Doing this gives us \((-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}\)

Answer:

9.6%

Step-by-step explanation:

Answer:

4 61/90

Step-by-step explanation:

6 - 2 = 4

9 / 10 - 2 / 9 = 61 / 90

Answer:

4.5

Step-by-step explanation:

300 times 150 = 4500

4500/1000 ( kilo means 1000 )

4.5

The area of a 2D form is the amount of space within its perimeter. The area of the field in square kilometres is 45,000.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the rectangular field is 300meters long and 150 meters wide. Therefore, the area of the field in square kilometres is,

Area = Length x Width

        = 300 meter x 150 meter

        = 45,000 meter²

Hence, the area of the field in square kilometres is 45,000.

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The number of complex zeroes that the polynomial has in the graph is 1.

Given a graph of a polynomial.

We have to find the complex zeroes of the polynomial.

Complex zeroes of a polynomial are the zeroes of the polynomial which are complex numbers.

The zeroes of a polynomial functions are the x intercepts of the graph of the function.

x intercepts are the points which touches the X axis.

Here the graph touches the X axis at x = -4, x = -2, x = 1 and x = 4.

So there are 4 real roots.

The degree of the polynomial is the number of times that the direction of the graph changes.

Here degree = 5

Number of real roots = 4

Number of imaginary roots = 1

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Answer:

Each ticket costs: $10.20

Step-by-step explanation:

If all 7 tickets together add up to 71.40, you cna find the price of one by dividing.

Take 71.40 and divide that by 7

71.40 / 7 = 10.2

Answer:

40kg

Step-by-step explanation:

x + y = 60, y = 60 - x

x(2.50) + y(1) = 60(1.50)

Substitute:

2.50 x + 60 - x = 90

1.50x = 30

x = 20 kg

y = 40 kg

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.

  y=mx+b is the slope intercept formula

The given equation is y=2x-7.

By comparing to slope intercept formula y=mx+b,

   m=2 and b=-7.  

   So the slope of the given equation is 2 and y-intercept is (0,-7).

we know that,

             m=rise/run

             so rise=2 and run=1 that means Sam needs to count up 2 and right 1 to graph the equation using the given slope.

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

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Step-by-step explanation:

If r is 1/6 then we'll have 1/4*1/6+7/24.

Firstly we will multiply 1/4 and 1/6 which will give us 1/24.

Then we will add 1/24 and 7/24 which will give us 8/24.

Then we reduce it to it's lowest term that is 1/3.TRY THIS.

The equivalent expression in the form \(x^2 + rx + sx + 6\) is:

\(x^2 + 2x + 3x + 6\), which can be further factored as (x + 2)(x + 3).

To rewrite the expression \(x^2 + 5x + 6\) in the form \(x^2 + rx + sx + 6\), we need to find values for r and s such that the coefficients of the x terms match.

Given expression: \(x^2 + 5x + 6\)

To factorize this expression, we need to find two numbers that multiply to give 6 and add up to 5. The numbers that satisfy these conditions are 2 and 3.

Now, let's rewrite the expression using these values:

\(x^2 + 2x + 3x + 6\)

By grouping the terms, we can rewrite it as:

\((x^2 + 2x) + (3x + 6)\)

Factoring out the common terms in each group:

x(x + 2) + 3(x + 2)

Now, notice that (x + 2) appears as a common factor in both terms. We can further simplify the expression:

(x + 2)(x + 3)

Thus, the equivalent expression in the form \(x^2 + rx + sx + 6\) is:

\(x^2 + 2x + 3x + 6\), which can be further factored as (x + 2)(x + 3).

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Answer: 60 rooms

Step-by-step explanation:

because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms

Answer:

a. Mean and Median will increase by $1,000.

If every teacher was to see their salary increase by $1,000 then the mean will also increase by $1,000 because each data value in the set increased by $1,000 but the number of teachers did not.

The Median will also increase by 1,000 because with all the values increasing by the same number, the middle position will still be the same but will have increased by $1,000.

b. The Extremes and the Quartiles will increase by $1,000

Quartiles like medians are simply positions occupied by a number in the data set. If all values increase by the same amount, the numbers occupying the quartile positions will increase by $1,000 as well. The same goes for the extremes.

Standard deviation will remain the same.

Standard deviation measures the dispersion around the mean. If the both the mean and the data values increase by the same amount, the dispersion will remain the same as the increases will cancel each other out.

Answer:

24

Step-by-step explanation:

52-2x=4 (move the constant to the right)

-2x=4-52 (calculate)

-2x=-48 (divide both sides)

solution: 24

hope this helps!

Answer:

\(P(210<X<290)=P(\frac{210-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{290-\mu}{\sigma})=P(\frac{210-202}{70}<Z<\frac{290-202}{70})=P(0.114<z<1.26)\)

And we can find this probability with this difference

\(P(0.114<z<1.26)=P(z<1.26)-P(z<0.114)\)

And we can find the difference with the normal standard distirbution or excel:

\(P(0.114<z<1.26)=P(z<1.26)-P(z<0.114)=0.896-0.545=0.351\)

Step-by-step explanation:

Let X the random variable that represent the hotel room cost of a population, and for this case we know the distribution for X is given by:

\(X \sim N(202,70)\)  

Where \(\mu=202\) and \(\sigma=70\)

We are interested on this probability

\(P(210<X<290)\)

The z score formula is given by:

\(z=\frac{x-\mu}{\sigma}\)

Using the formula we got:

\(P(210<X<290)=P(\frac{210-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{290-\mu}{\sigma})=P(\frac{210-202}{70}<Z<\frac{290-202}{70})=P(0.114<z<1.26)\)

And we can find this probability with this difference

\(P(0.114<z<1.26)=P(z<1.26)-P(z<0.114)\)

And we can find the difference with the normal standard distirbution or excel:

\(P(0.114<z<1.26)=P(z<1.26)-P(z<0.114)=0.896-0.545=0.351\)

Answer:

from the graph we can see that

for 2 gallones - it can travell 70 miles

4 gallones - 140 miles

we will take the first case

2 gallones - 70 miles

17 gallones - ? miles

cross multiply

\( \frac{17 \times 70}{2} \)

= 595 miles

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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