HELP ME ASAP!!!!
A vertical mast is on top of building and is positioned 6' from edge of building. The mast casts a 90' shadow from front of building. Another building 24' tall casts a shadow 64'. What is the height of the mast?
a. 7ft 6in
b. 9ft 9in
c. 12ft
d. 33ft

On solving the provided inequality equation we cans ay that therefore, 60x + 45 <250 is the necessary inequality for the given situation.

An inequality in mathematics shows how two values are related in an imbalanced algebraic expression. According to inequality signals, one of the two variables on either side of the inequality may be larger than, greater than or equal to, less than, or less than or equal to another value.

If the daily cost for each crew member is $60, the daily wage for crew members is $60, and the daily cost of operations is $45; the amount paid equals the total of the wages for each crew member plus the cost of operations. In this case, let x indicate the size of the crew.

= 60x + 45

Since the maximum daily payment is $250,

In other words, the total payment cannot be more than $250.

60x + 45 ≤ 250

Therefore , the required inequality for given problem is 60x + 45 ≤ 250.

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Answer:

4/9

Step-by-step explanation:

The equation indicates that the given equation's constant variable is 8.

In other words, you may claim that y directly depends on x or that y is directly proportional to x. The continuity equation or the constant variable variation in this function is m (or k). a direct variation's product of two variables or the result of two variables in such an inverse variation K is the constant of variation in the direct variation equations.

"X fluctuates directly as Y" denotes that as y rises, x also rises by the same amount. In other words, the ratio between y and x is constant and is:

                            x = k × y                

where k is the constant of variation.

Here,

it is given that y varies as  x,

if y=24 and x=3,

therefore,

y = kx

24 = 3k

∴ k = 8

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1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                     = 100,000 AA Batteries

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The amount of vanilla in the ice cream is 1/5 in the sundae that is being mad by Peter.

Peter make sundae by using mint chocolate and vanilla ice cream.

It is given to us that, the mint ice cream is 3/5 and chocolate is 1/2 of the remaining.

So, first we calculate the amount of chocolate,

Let us say that, we take the sundae as 1,

so, algebraically, the mint is,

X - 3/5 = 1

X = 2/5

Now, half of the 2/5 is,

Half of 2/5 = 2/5x1/2

Half of 2/5 = 2/10

Half of 2/5 = 1/5

So, the remaining portion after filling chocolate is 1/5

So, the vanilla ice cream will be 1/5.

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The range of f is C.

What is range?
Range is the difference between the highest and lowest values in a set of data. It is a measure of variability, providing an indication of how widely values in the data set are dispersed from one another. In statistics, range is an important tool that helps to describe and summarize data. Range is also used to measure the dispersion of data within a data set, including the degree of spread or variability in the data.

-6<_f(x)<_6. This means that the f(x)-values range from -6 to 6, including -4 and -3. The range of f does not include -3, 3, 6, and 7, which are not within the range of -6 to 6.

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The volume of the prism in the attached figure is calculated to be

672 m³

In the given problem, the formula used for volume of prism is

= area of base * height

Assuming a triangular base

area of triangular base = 1/2 * base * height

where

base = 12 m

height = 14 m

area of triangular base = 1/2 * 12 * 14

area of triangular base = 84 m²

The volume of the prism with a triangular base

volume of the prism = area of triangular base * height

where

area of triangular base = 84 m²

height = 8 m

volume of the prism = 84 * 8

volume of the prism = 672 m³

The volume of the prism is solved to be 672 m³

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The required inequality to represent the above data regarding Valentina is x > 3.

Valentina uses more than 36 ounces of dough 12 cinnamon rolls made by Valentina of weight ounces of dough represented by x ,then required inequality is given by 12x > 36.

Number of cinnamon rolls made by Valentina = 12

Weight of all 12 cinnamon rolls are equal

x represents the ounces of dough used by Valentina to make cinnamon roll.

Ounces of dough used by Valentina is more than 36.

Required inequality to represent the above data is given by:

12x > 36

Divide by 12 form both the sides we get,

12x /12 > 36/12

x > 3

The inequality is x > 3.

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Complete question

Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls. Let x represent how many ounces of dough Valentina uses for each cinnamon roll. Which inequality describes the problem?

Sally's team score is 6.

We can determine Sally's team score by calculating the average of her team's finishing place positions.

From the information given, we know that:

If we assume that Peter's team finished in 1st, 2nd, 3rd, 4th and 5th places, then we can calculate Sally's team score as follows:

To find the average of the five finishing place positions, we add up all the places and divide by 5:

(2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6

So, Sally's team score is 6.

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Answer:

2s+2s

hope this helps

have a good day :)

Step-by-step explanation:

The sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].

What is sine function?

The trigonometric functions in mathematics are real functions that relate the right-angled triangle's angle to the ratios of its two side lengths. They are extensively used in all fields of geometry-related science, including geodesy, solid mechanics, celestial mechanics, and many others.

The general sine function is

[tex]y = Asin(b(x+c)+D[/tex]

Where

Amplitude = A

Period = [tex]\frac{2\pi }{B}[/tex]

Phase shift = c

Vertical shift = D

Given:

A = 4 (amplitude)

[tex]\frac{2\pi }{B} = 4[/tex]  (period)

[tex]B = \frac{\pi }{2}[/tex]

Since midline: y = 1

And we know that graph of [tex]4sin(\frac{\pi }{2}x)[/tex], midline to be y = 1.

It must have vertical shift D = 1.

Since, y - intercept (0, 1)

⇒ x = 0, y = 1

⇒ It has no phase shift  ⇒ c = 0

Since it satisfy [tex]y = 4sin(\frac{\pi }{2}(x+c))+D[/tex]

The graph of the sine function is attached below.

Hence, the sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].

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Answer:

14in. :|

Step-by-step explanation:

Answer:

You can have a total of 15 outfits.

Step-by-step explanation:

Answer:answer above is correct

Answer:

c = [tex]\sqrt{296}[/tex]

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle , with c the hypotenuse

c² = 10² + 14² = 100 + 196 = 296 ( take the square root of both sides )

c = [tex]\sqrt{296}[/tex] ≈ 17.2 ( to 1 dec. place )

Answer:

-15

Step-by-step explanation:

That's the answer because

-15+4=-11

-15+4=-11-11<-7

Total 56 bags of hardwood and 140 bags of pine bark bags are sold.

In the given question, a local boys club sold 196 bags of mulch and made a total of $357.

It sold two types of mulch: hardwood for $2.00 a bag and pine bark for $1.75 a bag.

We have to find how many bags of each kind of mulch did it sell.

Let total number of x bags of hardwood sell.

Let total number of y bags of pine bark sell.

Now the equation should be

2x + 1.75y = 357............................(1)

Total number of bags sold 196.

So x + y = 196............................(2)

From the equation 2 the value of x = 196-y. Now putting the value of x in equation 1.

2(196 - y) + 1.75y = 357

392 - 2y + 1.75y = 357

392 - 0.25y = 357

Subtract 392 on both side, we get

-0.25y = -35

Divide by -0.25 on both side, we get

y = 140

Now putting the value of y in x = 196-y

x = 196 - 140

x = 56

Hence, 56 bags of hardwood and 140 bags of pine bark bags are sold.

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Answer:

Warmer than

Step-by-step explanation:

.......................

Answer:

warmer than

Step-by-step explanation:

-1.2°F is colder because the lower you go the colder you get

Answer:

I think he walks 25 blocks

Step-by-step explanation:

he walks 0,8 then 9,8 then 9,0 so he goes 8y + 9x + 8y = 25 i don't know if that's right tho.

Answer:

y=2x+0

Step-by-step explanation:

The slope is rise over run (which is 10/5, so 2) and the y-intercept is 0,0

The probability of not getting result is found as 24.7%.

The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as the experimental probability of that event occurring.

So,

P(Result) = 0.753.

P(no result) = 1 - 0.753

P(no result) = 0.247

Thus, the probability of not getting that result is found as 24.7%.

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The correct question is-

If the probability of getting a result in an experiment is 75. 3%, what i the probability of not getting that result?

Shortest distance between start and end point is 55.9 miles

According to given statement,

Terry had to travel south 50 miles and then west 25 miles.

We are taking X as a start point and Z is end point.

In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]

XY = 50 miles

YZ= 25 miles

XZ^2 = XY^2 + YZ ^2

XZ^2 = (50) ^2 + (25) ^2 = 3125

XZ = 55.9

Shortest distance between start and end point is 55.9 miles

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Answer:

12 x X x 1/2 = 54

12x x 1/2 = 54

x2              x2

12x = 108

divide by 12 on both sides:

X = 9

Let's double check!

9 x 12 = 108

108 divided by 2 = 54

IT WORKS!

Therefor your answer will be,

9!

The expected time until the tourist arrives in the city is 4.75 hours.

The expected time until the tourist arrives at the city can be calculated by using the formula for the expected value:

Expected value = (probability of outcome 1) x (value of outcome 1) + (probability of outcome 2) x (value of outcome 2) + ...

In this case, there are two possible outcomes: the tourist takes road A or road B.

If the tourist takes road A, the expected time until he arrives in the city is the average of the two possible travel times (4 hours and 8 hours). The probability of this outcome is 0.5 (the tourist has an equal chance of choosing either road). So, the expected value for this outcome is (0.5) x (4 + 8)/2 = 6 hours.

If the tourist takes road B, the expected time until he arrives in the city is 7 hours. The probability of this outcome is also 0.5. So, the expected value for this outcome is (0.5) x 7 = 3.5 hours.

To find the overall expected time until the tourist arrives in the city, we add up the expected values for each outcome:

Expected time = (0.5) x 6 + (0.5) x 3.5 = 4.75 hours

So the expected time until the tourist arrives in the city is 4.75 hours.

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Answer: 4 1/8

Step-by-step explanation:

1 6/8 + 2 3/8 = 33/8 = 4 1/8

Answer:

4 1/8

Step-by-step explanation:

first turn the fractions into improper fractions...

so 1 6/8 = 14/8

and 2 3/8 = 19/8

then add together.. 14/8+19/8=33/8

change into a mixed number = 4 1/8

or

do 1+2=3

and 6/8+3/8=9/8=1 1/8

and add the two values together... 3+ 1 1/8 = 4 1/8

Answer:

x = 91

y = 98

Step-by-step explanation:

x: 180 - 89 = 91

y: 180 - 82 = 98

Hope this helps!