Solve this inequality for x.

Answer:

Step-by-step explanation:

The Length of shadow  is 35.56 ft.

Given that,

If the sun is 68° above the horizon.

Based on the above information, the calculation is as follows:

tan68° =BC divide AC

tan68° =88 divide b

b =88 divide tan68°

=88 divide 2.475

= 35.56 ft.

Answer:100

Step-by-step explanation:

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The rate at which the oil burns.

1 hour = 2/3 ounce

At 12 noon = 193/3 = 64.33 ounces

At 2 pm = 63 ounces

At 5 pm = 61 ounces

The amount of oil at 12 noon is 64.33 ounces.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.

At 2 p.m., the amount of oil left in the lantern is 63 ounces.

At 5 p.m., the amount of oil left in the lantern is 61 ounces.

This means,

Amount of oil burnt in the lantern from 2 pm to 5 pm.

= 63 ounces - 61 ounces

= 2 ounces

Now,

3 hours = 2 ounces

2 hours = 1.33 ounces

1 hour = 0.67 ounces

Now,

The number of hours from 12 noon to 2 pm.

= 2 hours

So,

The amount of oil at 12 noon.

= 63 + 4/3

= (189 + 4) / 3

= 193/3 ounces

Thus,

The amount of oil at 12 noon is 65 ounces.

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Answer:

C

Step-by-step explanation:

2 sides and the included angle of both triangles are congruent, then the triangles are congruent by SAS postulate

Pacquiao will have enough money (a future value of up to P7,000) to buy the gift if he deposits his money (P6,000) in an account paying 8 percent compounded semi-annually.

The future value is the compounded present value at an interest rate.

The future value can be determined using an online finance calculator, FV table, or FV formula.

N (# of periods) = 4 (2 years x 2)

I/Y (Interest per year) = 8%

PV (Present Value) = P6,000

PMT (Periodic Payment) = P0

Results:

Future Value (FV) = P7,019.15

Total Interest = P1,019.15

Thus, in 2 years' time, Pacquiao will have P7,019 enough to buy his mom a new bicycle.

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ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.

There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.

X now has 300 mg of sodium in it.

[tex]x = 300[/tex]

Y also has 450 mg of sodium in it.

[tex]y = 450[/tex]

Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.

Let the number of frozen dinners be "b," and the number of soup cans be "a."

ax + by = 6000

a(300) + b(450) = 6000 .

Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation

[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]

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Answer:

$220

Step-by-step explanation:

Find the amount of money John makes in one hour:

[tex]55\div2=27.5[/tex]
[tex]=27.5[/tex]

John makes $27.50 an hour, now multiply the amount of money earned per hour, by the number of hours he worked.

[tex]27.50\times8=220[/tex]
[tex]=220[/tex]

John made "$220 dollars an hour."

Hope this helps.

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Answer:

they are intersecting.. so, there's one solution. the ordered pair is (-1,4).

Answer: 15a – 12b – 5.

Step-by-step explanation: To solve this equation, we need to distribute the constants in front of the parentheses. Doing so, we get:

-3 + 4(a – 3b + 2) – 5(2 – a + 3b)

= -3 + 4a – 12b + 8 – 10 + 15a – 15b

= (15a – 12b) + (-10 + 8) – 3

= 15a – 12b + -2 – 3

= 15a – 12b – 5

Thus, the solution to the equation is 15a – 12b – 5.

Answer shown in bold

The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.

========================================================

Explanations:

Let me know if you have any questions.

Answer:

So there are 60 minutes in an hour, and since there are 24 hours in a day you will multiply 60 by 24:

60 * 24 = 1440.

That multiplied by 1.5 is 2160, so that would be your answer.

Step-by-step explanation:

Hope it helps! =D

The weight of the circle is heavier than the weight of the square by the weight of the triangle

Examining the weights, can lead to a linear equation, the equation will have the follows parameters

let t represent triangle

let c represent circle

let s represent square

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

divide through by 3

s + t = c

10 + t = c

From the equation 10 + t = c we can say that the weight of the circle is a triangle weight more than the square

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Answer:

dddd

Step-by-step explanation:

The domain of the function whose graph shown in diagram is x ≤ 1.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.

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The slope of the horizontal line will be zero.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.

The horizontal line always has zero slopes because the y coordinate will always be the same for two points.

The slope is calculated by the formula below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

y₂ = y₁

Slope = ( y₁  - y₁ ) / ( x₂ - x₁ )

Slope = 0

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Answer:

I think Jacob wins the race

The distance that the minute hand moves in 50 minutes, given that it started at 7 minutes, is 258 degrees.

A rotatation around the clock by the minute hand, is a full 360 degrees as it begins at 12 and ends at 12 .

If a minute hand is at 7 minutes, then it means that the degrees moved is:

= 7 / 60  x 360

= 42 degrees

At 50 minutes, the degrees moved is :

= 50 / 60 x 360

= 300 degrees

Seeing as the minute hand started at 7 minutes, the distance moved is :

= 300 - 42

= 258 degrees

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Answer:

Step-by-step explanation:

Answer: 10:9, 10/9, 10 to 9.

Step-by-step explanation:

Answer:

Step-by-step explanation:

That is not possible.

Answer:

Step-by-step explanation:

distance = [tex]\sqrt{(-5/2+1/2)^{2} +(9/4+3/4)^{2} }=\sqrt{13}[/tex]=3.61

Answer:117649

Step-by-step explanation:

Answer:

The manager is not correct in her calculation.

Step-by-step explanation:

There are 244 males and n females who entered the mall as the manager at the shopping mall counts.

If 25% of all males are children, then the number of male children are .

Again, the 25% of all female are children, then the number of female chilfren are .

Therefore, the total number of children will be (60 + 0.25n).

But the manager gives the number of children to be 0.25n + 61 who entered the mall.

So, the manager is not correct in that calculation. (Answer)

Step-by-step explanation:

The amount of money that can be saved per ounce by guiding the larger box is $0.009.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that a 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29.

For the larger box -

38 ounce box of cat food costs $1.69

1 ounce of this box will cost $(1.69/38) = $0.045

For the smaller box -

24 ounce box of cat food costs $1.29

1 ounce of this box will cost $(1.29/24) = $0.054

Money that can be saved per ounce by guiding the larger box -

0.054 - 0.045

0.009

Therefore, the amount of money that can be saved per ounce by guiding the larger box is $0.009.

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Answer:

tan30° = [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

[tex]\dfrac{5}{12}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

Substitute the values into the tan trigonometric ratio:

[tex]\implies \tan(30^{\circ})=\dfrac{5}{12}[/tex]

So we know that we need to add 15 to the double of this number. We know we need to add 15 since it says "15 more than" and we know we need to double/multiply the number by two since it says "twice a number"! We also know that this mystery number equals 5.

Therefore, we can set up our equation and solve! The variable x is used to represent the number we're looking for!

2x + 15 = 5

2x = -10

x = -5

So, your answer should be -5!

Answer:

The Percentage is 50% because 14 is the half of 28.

Answer:

39

Step-by-step explanation:

Solve inside of the parenthesis, then open them and solve.

(42 + 2) - 5

(44) - 5

44 - 5

39

Answer:

39

Step-by-step explanation:

42+2−5

=39