the sum of twenty one and five times a number is equal to 61 .what the number?

Answer: i am not positive but i think 2.5 on x and 9, and 27 on y

Step-by-step explanation: just want to help asap

Answer:

9

Step-by-step explanation:

if you can actually see the graph the numbers go up by six.

6, 12, 18 and so on all the way to 6 x 5 which is 30 on the chart then you visualize off of the chart trying 6x6 6x7 6x8 and 6x9 until you get the answer of 54 the money price.  

Answer: Choice D

(0,-4) (4,0) and (-1,-5)

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Explanation:

Plug in x = -4

y = x-4

y = -4-4

y = -8

The point (-4,-8) is on the line instead of (-4,0). This rules out choice A and choice B.

Now plug in x = 1

y = x-4

y = 1-4

y = -3

We get (1,-3) instead of (1,5). So we can rule out choice C.

The answer must be choice D.

The graph is below.

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

1/8, 1/4, 1/5,....

Step-by-step explanation:

Because:

1/8= 0.125

1/4= 0.25

1/5= 0.2

Terminating decimal mean decimal that have finite number of digits after the decimal point.

Hope you understand.

1. The value of x is 9

2. The value of x is 8

To determine the value of the variables, we need to know the properties of a triangle.

These properties includes;

Now, from the information given, we have that;

<L = <Q

<M = <R

The side facing <L is 9

The side facing <Q is x

x = 9

2. The side facing <L is 6

The side facing <Q is 12

Then, x = 8

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Answer:

3) a translation followed by a reflection

Step-by-step explanation:

First, to get to A'B'C'D', we can see that A is still on top, D is on the right, etc. -- everything is just shifted up and to the right. This signifies a translation as it is simply a shift.

Next, to get to A''B''C''D'', we can see that A'' is now on the right. If this would be a rotation from A'B'C'D', we can visualize it as the shape rotating to the right. B'' would then be on top as it is to the left of A' in A'B'C'D', so if B' would be rotated to the right, it would then go to the top of A''. However, B'' is in the bottom, and D'' is on the top, signifying a flip of what the rotation would be. As this is not a simple shift, the only option left is a reflection.

The direction cosines and direction angles of the vectors will be x/r , y/r , z/r  and cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r ) respectively.

The cosines of the angles that a given vector, m = xi + yj + zk, makes well with the x, y, and z axes are the direction cosines of that vector.

If a forms the direction angles (which are cosines) with the x, y, and z axes, then the direction cosines of m are cos a, cos b, and cos c in the x, y, and z axes, respectively.

Let the equation be =  xi + yj + zk

vector of the equation will be = (x, y, z)

r = length of vector = √(x²+y²+z²)

The direction cosines will be x/r , y/r , z/r

angles will be cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r )

Direction cosines will be -x/r , y/r , z/r

Angles will be -

cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r )

Consider the dimensional point P. We can derive direction cosines by computing the cosine of any positive (anticlockwise) angles that a position vector makes with the positive x, y, and z-axes, respectively.

These angles are referred to as direction angles. By using direction cosines, it is easy to translate a vector's direction into angles with regard to a reference.

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Answer:

4/3

Step-by-step explanation:

Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.

Since our denominators match, we can add the numerators. 4 + 4 = 8. That gives us the sum, which is 8/6. Then you divide by 2.  So 8/6 / 2 gives you 4/3.

Answer:

4/3 or 1 1/3

Step-by-step explanation:

1. 4/6 + 2/3

2. 4/6 + 4/6          You have to find the LCM (least common multiple) of the two  denominators. In this case it would be 6. You have to multiply 3 by 2 to get 6. What you do to the bottom you also do to the top so you have to also multiply the numerator (2) by 2.

3. 4/3 or 1 1/3       Afterward, you just have to add straight across without changing the denominator and then if you need to simplify you simplify. Without simplifying, you would get 8/6, but, most teachers will mark it as wrong if you don't simplify. You can then change the improper fraction into a mixed number depending on what your teacher wants.

Answer:

Area = 996 in^2

Step-by-step explanation:

First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:

= 1/2 b•h

to find the area of the top (the triangle).

The 24, used for the triangle base is also the side length of the square below. See image.

Area of a square is:

Area = s^2

OR, just l×w or b×h,

all the same.

Add together the triangle area and the square's area for the final answer. See image.

Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.

The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:

15^2 + 17^2 = x^2

Simplifying this equation, we get:

225 + 289 = x^2

514 = x^2

x = sqrt(514)

Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.

Answer:

D. x = 15

Step-by-step explanation:

an equation can be formed to solve this if has same sides but enlarged:

\(\frac{x-6}{x-6+3} = \frac{x}{x+5}\)

(x-6)(x+5) = (x)(x-3)

x²+5x-6x-30=x²-3x

x² - x² -x +3x = 30

2x = 30

x = 30/2

x = 15

Answer:

a = 3.31ft.

Step-by-step explanation:

The opposite is 3.31 feet.

Please let me know if this helped!!!

The coordinates of the turning point on the curve with the equation y = 9 + 18x - 3x² is (3,36).

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

y = 9 + 18x - 3x²

To find the turning point:

Graph the above quadratic equation;

From the graph:

The maximum point from where the graph starts to decrease is (3,36)

Thus, the coordinates of the turning point on the curve with the equation y = 9 + 18x - 3x² is (3,36).

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Answer:

I am not sure if you're accustomed to using a z-score and table of probabilities or technology, so I will answer using both!

a) Since you're choosing one person from the population, you will use the mean and standard deviation from the population.  z= (210.9-197.5)/8.6 = 1.56 Using a table of normal probabilities,

P(x>210.9)= 1-P(z<1.56)= 1- 0.9406=0.0594

Using technology: normalcdf(210.9, 1E99, 197.5, 8.6)=0.0596

b) Since you're calculating the population for a sample to occur, you need to get a mean of the sampling distribution and standard deviation of the sampling distribution.

Meanpop=Meansampling dist.=197.5

St. Devsampling dist.= Stdpopulation/√n = 8.6/√15 = 2.22

Using technology, P(X>196.20)= normalcdf( 196.20, 1E99, 197.5, 2.22) = 0.7209

c) You only have to worry about the sample size in a sampling distribution if you either do not know the shape of the distribution of the population or if the distribution of the population is not normally distributed. Since this population is normally distributed (as stated in the given information), then your sample size does not have to be greater than 30.

Step-by-step explanation:

Step-by-step explanation:

(12x+5)=(17x-5)

Answer:

The expected number of children that can pass the fitness test in a test session is 7.5 and the standard deviation is 1.37.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they pass the health test, or they do not. Whether a child can pass the test is independent with the test result of other children. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

The probability for each child to pass the fitness test is 0.75

This means that \(p = 0.75\)

10 independent children

This means that \(n = 10\) Find the expectation and standard deviation of the number of children can pass the fitness test in a test session.

\(E(X) = np = 10*0.75 = 7.5\)

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.75*0.25} = 1.37\)

The expected number of children that can pass the fitness test in a test session is 7.5 and the standard deviation is 1.37.

Answer:

unit price for 11.3-ounce package = $0.25

unit price for 27.8-ounce package =  $0.23

27.8-ounce package is the better buy

Step-by-step explanation:

An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.

a) 11.3-ounce package

11.3 ounces = $2.88

1 ounce = $2.88 ÷ 11.3

1 ounce = $0.25

b) 27.8-ounce package

27.8 ounces = $6.48

1 ounce = $6.48 ÷ 27.8

1 ounce = $0.23

$0.25 > $0.23

The equation of line in the slope intercept form is;  y = 3x - 45.

The equation of the line in slope intercept form is;

(y - y₁) = m(x - x₁)

The given coordinates are-

(x₁ ,y₁) = (-9, 12)

the slope of the line is;

slope = m = 3.

Put the values in the equation;

y - (-9) = 3(x - 12)

y + 9 = 3x - 36

y = 3x - 36 - 9

y = 3x - 45

Therefore, the equation of line in the slope intercept form is;

y = 3x - 45.

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The required greatest common factor of 48 and 168 is 24.

Given that,
To determine  the greatest common factor of 48 and 168

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,
GCF
48  and 168
24× 2 and 24 × 7
GCF = 24

Thus,  the required greatest common factor of 48 and 168 is 24.

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Answer:

5 hours

Step-by-step explanation:

120/60= 2

120/40= 3

3+2=5

Answer:

x = 7

Step-by-step explanation:

Find the point on the graph that has the y-value of 8. Determine its x-value.

The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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Answer:

7 meters

Step-by-step explanation:

Simple solving method:

15 - 8 = 7

Answer:

7 meters

Step-by-step explanation:

yayayayayayayay

Answer:

341

Step-by-step explanation:

1+4=5

5+16=21

21+64=85

85+256=341

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer:

0

Step-by-step explanation:

2(1)*(1-(1))²=0

plug in 0 for everywhere you see x