A delivery truck drives three routes in one day. The first route is 12 miles long, the second route is 10 miles
long, and the third route is 154 miles long.
What is the total number of miles the delivery truck drives?

Answer:

see below

Step-by-step explanation:

9/10

To get as a fraction over 100, multiply the top and bottom by 10

9*10           90

------    = ------------

10*10          100

9/10   = 90/100

The decimal form for 9/10  is .9  and for 90/100 is .90

Answer:

The total number of fruits Halston can choose is 3 + 4 + 2 = 9.

The number of ways she can choose two fruits without restrictions is 9C2 = (98)/(21) = 36.

The number of ways she can choose two fruits where both are bananas is 2C2 = 1.

Therefore, the number of ways she can choose two fruits that are not bananas is 36 - 1 = 35.

So, the probability that Halston chooses two fruits that are not bananas is:

35/36

Therefore, the probability that Halston chooses two fruits that are not bananas is 35/36.

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Answer: 121.176

Step-by-step explanation:

First, multiply out the decimal points. To get 408 from 4.08, multiply by a hundred. Likewise, with 29.7, multiply it by 10.

Then, do long multiplication with 408 and 297 (you get 121176 from that).

Finally, use your answer from the long multiplication and divide it by how many times you multiplied your original numbers. So, you have to divide by 100, and then also divide by 10.

From that, you get 121.176

Answer:

A=47.7 cm

Step-by-step explanation:

10*3.14*(1/2)=15.7

2(6+10)=32

32+15.7=47.7

Answer:

alright for the first one you set them equal o each other while for the second you do the same thing

first one:8

second one:5

Step-by-step explanation:

24/3 is x and x=8

for the second one

18+12 is 30 and 30/6 is 5so the second one is 5'

if you want me to clarify more please comment

Answer:

this was a while ago so i am just putting this answer so u can give the other dude brinliest

Step-by-step explanation:

Answer:

mZCAD=310°

Step-by-step explanation:

M2BAC=1,m2DAE=3 and m-BAE=0 therefore solution will be 310°

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

  c.  $264,192

Step-by-step explanation:

Column 3, labeled 20 Years, would be the column you want for a 20-year loan.

Row 2, labeled 5.5%, would be the row you want for a 5.5% loan.

The value in the table at row 2 of column 3 appears to be 6.88. The is the amount of the payment per $1000 of loan value. A $160,000 loan will have a monthly payment that is 160 times $6.88 = $1100.80.

The 20-year loan will be paid back with 20×12 = 240 monthly payments. The total amount of those payments will be ...

  240×$1100.80 = $264,192

Answer:

c

Step-by-step explanation:

Answer: To find the area of the shaded region :

Calculate the area of both shapes. The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.

Step-by-step explanation: I cannot see the picture to answer your question but I hope this helps you find put your answer. :)

Answer:

13

Step-by-step explanation:

Start with the smaller sqaure without the x varible which is 7 x 3 = 21

Then the larger square without the varible, 8 x 4 = 32

Now we subtract 21 from 34 and get 13.

So the area for the shaded region should be 13

The system of equations that shows the situation is option 1.  L+J=29  L=2J-10

The question tells us that the summation of the age of Latifa and Jameel is 29

Let J = Jameel

L = Latifa

L + J = 29

The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted

L = 2J - 10

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The equivalent expression for the new price of the purchase, b - 0.14·b, at the store is; New price = 0.86·b

A mathematical expression comprises of well arranged mathematical symbols based on the subject matter, that indicates a value.

The percentage coupon the store manager is given = 14% off the total purchase

The original price of the purchase = b

The expression for the new price = b - 0.14·b

Therefore, the equivalent expression for the combined price can be obtained by combining like terms as follows;

b - 0.14·b = b × (1 - 0.14) (Converse of the distribution property of multiplication)

(1 - 0.14) = 0.86

Therefore; b × (1 - 0.14) = b × 0.86 = 0.86·b

b - 0.14·b = b × (1 - 0.14) = 0.86·b

b - 0.14·b = 0.86·b

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An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).

In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:

x = a(y - k)² + h.

Where:

By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:

h = 0

k = 0

a = positive.

x = a(y - k)² + h.

x = a(y - 0)² + 0.

x = ay²

Therefore, a possible equation is x = 1/12(y²).

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The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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By applying the PEMDAS rule, the given expression "1 × (-4) - 8 × - 3/9" is equal to -20/8.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to evaluate this expression, we would apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.

Expression = 1 × (-4) - 8 × - 3/9

Expression = -4 - 8 × - 3/9

Expression = -4 - 8 × 1/3

Expression = -4 - 8/3

Expression = -4/1 - 8/3

Expression = (-12 - 8)/3

Expression = -20/8.

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Answer:

A - The first one

Step-by-step explanation:

Answer:

The first line.

Step-by-step explanation:

The line starts off at 0,

then it goes to the left of the line -3 times.

Then it goes to the left -1.5 times.

this means it goes one and a half.

so it would land on the line after -4.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

B = (zx/2)+ (qx/2)

Step-by-step explanation:

Answer:

b = x(z+q)/2

Step-by-step explanation:

step 1: add Q to each side

step 2: multiply each side by x

step 3: divide each side by 2

Answer is 5

Slope is found by finding change in y over change in x

First I solved for Y, -15-3= -18

So I knew x had to be -9 for the slope to be 2

See picture for detailed math

The closest to the maximum number of cups the punch bowl can hold is 30

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

\(V = \frac{2}{3}\pi r^3\)

This gives

\(V = \frac{2}{3}\pi * 6^3\)

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

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The hypotenuse of a right triangle will be $561$.

What is hypotenuse?

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

Lengths of legs of a right triangle are given that are $264$ and $495$.

According to The Pythagorean Theorem,

\(hypotenuse^{2} = lenght^{2} + lenght^{2}\\hypotenuse^{2} = 264^{2} + 495^{2}\\\\hypotenuse^{2} = 69,696 + 245,025\\ hypotenuse^{2} = 314,721\\hypotenuse = 561\)

The hypotenuse of a right triangle will be $561$.

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Answer:

You would need 2.44 seconds per drink.

Step-by-step explanation:

This question can be solved using proportions.

A month has 30 days, each with 24 hours, each with 3600 seconds.

So a month will have 30*24*3600 = 2,592,000 seconds.

It can provide 1,063,953 fountain drink and slush combinations.

So, the number of seconds per drinks is given by:

2592000/1063953 = 2.44

You would need 2.44 seconds per drink.

The solution is, equation of linear function will be y = -2/7x + 2.

We have,

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, The y-intercept is 2. The function is positive for x < 7. The function is decreasing for all values of x.

Thus the x-intercept of linear function will be 7

So two points on the line are (0, 2) and (7, 0)

The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept

since, slope = (y - y')/(x -x')

In our case,

Slope = (0-2)/7-0

Slope = -2/7

Thus, equation of line,

y = -2/7x + 2

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complete question:

Using the given key features, sketch a linear grapgh.

The area of a regular hexagon with side length 14 inches is 509.22 square inches.

Given that, a regular hexagon with side length 14 inches.

We know that, area of a regular hexagon can be calculated using A=3√3/2 a².

Here, area of a regular hexagon = 3√3/2 ×14²

= 3√3 ×98

= 509.22 square inches

Therefore, the area of a regular hexagon with side length 14 inches is 509.22 square inches.

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The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

The parent function is given below.

f(x) = x³

The function is stretched by 5 units and gets reflected over the y-axis. Then the function is given as,

f(x) = (-5x)³

The function is shifted by 4 units downward then subtract 4 from the function. Then the function is given as,

f(x) = x³ - 4

The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

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Answer:

Step-by-step explanation:

Hello!

The variable is

X: lifespan of an item

This variable has a normal distribution X~N(μ;σ²)

μ= 5.8 years

σ= 1.7 years

The normal distribution is symmetric, centered on μ, asymptotic to -∞ and +∞. The shortest lifespans will be on the left tail of the distribution and the longest lifespans will be on the right tail. You have to determine how many years the 1% of the items with the shortest lifespan will, this is, the value that separates the bottom 1% of the distribution, symbolically:

P(X≤x₀)= 0.01

Where x₀ represents the value of lifespan you were asked for.

To determine this value you have to work using the standard normal distribution. Derived from the normality distribution is the standard normal distribution. Considering a random variable X with normal distribution, mean μ and variance δ², the variable Z =(X-μ)/δ ~N(0;1) is determined.  

The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.

So to calculate each of the asked probabilities, you have to first, "transform" the value of the variable to a value of the standard normal distribution Z, then you use the standard normal tables to reach the corresponding probability.

So under the standard normal distribution you have to determine the Z value that divides the bottom 1% of the distribution from the top 99%

P(Z≤z₀)= 0.01

Using the standard normal table you have to determine the value of z₀ (it is located in the left tail of the distribution so the value is negative)

z₀= -2.33

Now you have to "translate" the value of Z to a value of the variable of interest:

z₀ =( x₀-μ)/δ

(z₀*δ) =x₀-μ

(z₀*δ)+μ=x₀

x₀= (-2.33*1.7)+5.8= 1.839 years

The lifespan that marks the shortest 1% of the distribution is 1.839

I hope this helps!

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that \(\mu = 7.2, \sigma = 2.1\)

For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.

X = 9

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{9 - 7.2}{2.1}\)

\(Z = 0.86\)

\(Z = 0.86\) has a pvalue of 0.8051

X = 3

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{3 - 7.2}{2.1}\)

\(Z = -2\)

\(Z = -2\) has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.