Solve the following equation:
5y-2/4(y+2) = 1/3​

Answer: 50 feet

Step-by-step explanation:

Since it is a rectangle and you in the corner diagonally; you can draw a line diagonally across in the rectangle and you are left with two triangles.

So since its two right-angled triangles

a = 14 feet

b = 48 feet

You need to find c which is the diagonal.

Using the pythagorean theorem which is:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 14^{2} + 48^{2}[/tex]

Square the a and b then add

[tex]c^{2} = 136 + 2304[/tex]

[tex]c^{2} = 2500[/tex]

Now carry over the square on the c and change it to the square root

[tex]c = \sqrt{2500}[/tex]

when you square root

[tex]c = 50[/tex]

therefore it is 50 feet diagonally across

Answer:

5

Step-by-step explanation:

Each one goes up by .75 cents

Answer:

180-3x= 132

Step-by-step explanation:

-3x=132-180

-3x=-48

-3x/3=-48/3

x=16

So each angle is 16°

Step-by-step explanation:

first pool :

in 4 hours the pool gets 5200 gallons.

that means in 1 hour it gets 5200/4 = 1300 gallons.

so, the filing rate is 1300 gallons / hour.

second pool :

we seen on the graph that

in 3 hours the pool gets 10800 gallons.

that means in 1 hour it gets 10800/3 = 3600 gallons.

so, the filing rate is 3600 gallons / hour.

therefore, the second pool fills at a much faster rate than the first pool (3600 gallons vs. 1300 gallons / hour).

Answer to -1/3x-1+x2 in standard form:

x²-1/3x-1

Answer:

yes it is correct

Step-by-step explanation:

Answer: Yes You are correct!

Step-by-step explanation:

If a number in the tenths place is greater than or equal to 5 then we round up. Ex: 1.90 would round to 2

If a number in the tenths place is less than or equal to 4 then we round down. Ex: 1.19 would round to 1

Since 8 is in the tenths place we round up. 3.81 would be 4 rounded to the nearest whole number.

You are correct

Answer:

4.86

% I think I may be wrong tho.

Pancakes = 2.5

Elevator is only going up so 1/0

Game is the same as elevator

If hours is x than 1/6 if you is hours 6/1

Answer:

II

Step-by-step explanation:

Answer:

I believe it is in the first quadrant.

Step-by-step explanation:

if you start in the negative x postitive y quadrant and go clockwise it would be the first one.

Answer:

24 runners

Step-by-step explanation:

If 1/4 of the runners dropped out, then 1 - 1/4 or 3/4 continued on. 3/4 of 56 or 3/4 *56 is 42 runners left. Then, out of these 42, 3/7 dropped out. This means 1 - 3/7 or 4/7 of the runners remained. This means that 4/7 * 42 or 24 runners finished the race.

Answer:

2

Step-by-step explanation:

[tex]\frac{4-y}{3-10} = -\frac{2}{7}\\\\\frac{4-y}{-7} = -\frac{2}{7}\\\\4-y = -\frac{2}{7} * -7\\\\4-y = 2\\\\y = 4-2\\\\y = 2[/tex]

Feel free to mark this as brainliest! :D

The equation for the given situation is 5+10.50x=68.

Given that, the parking garage charges an initial fee of 5$.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of hours be x.

Garage charge $10.50 per hour parked. You had to pay $68.

So, equation is 5+10.50x=68

Therefore, the equation for the given situation is 5+10.50x=68.

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Answer:

$4920

Step-by-step explanation:

one month=4 weeks

1230×4

4920

Answer:

$2460

Step-by-step explanation:

A biweekly salary is basically just saying every 2 weeks so because a month is about 4 weeks you would just double the biweekly salary so:

$1230 × 2 = $2460

Answer:

B

Step-by-step explanation:

[tex](a^{m})^{n}=a^{m*n}\\\\\\(4^{-4})^{2}=4^{-4*2}=4^{-8} =\dfrac{1}{4^{8}}[/tex]

[tex]a^{-m}=\dfrac{1}{a^{m}}[/tex]

Answer:

The negative numbers do not have square roots. Therefore the question does not have a solution. That is where Julie made a mistake.

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

First, let's take a look at this property:

[tex] \displaystyle \large{ \sqrt{a} \sqrt{b} = \sqrt{ab} }[/tex]

This only works for a and b ≥ 0.

As for a & b < 0 which results in Imaginary Number, we have to convert in 'i' form.

We know that:-

[tex] \displaystyle \large{ i = \sqrt{ - 1} }[/tex]

Thus:

[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{3} i \cdot \sqrt{12}i }[/tex]

Then we can multiply 12 & 3 in square root.

[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{36} {i}^{2} }[/tex]

We know that:

[tex] \displaystyle \large{ {i}^{2} = - 1}[/tex]

Convert i^2 to -1

[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{36}( - 1) } \\ \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = - \sqrt{36}}[/tex]

Then evaluate √36 which is 6.

[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = - 6}[/tex]

Therefore the answer should be -6.

Conclusion

Julie cannot use the √a√b = √ab property first because a & b both are < 0 and the property applies for a ≥ 0, b ≥ 0.

Answer:

2496

Step-by-step explanation:

104 x 24

Answer:

x < 4

Step-by-step explanation:

The dotted line  is x = 4

The shaded area is below x = 4.

So, x <4

Answer:

-y=3,7

Step-by-step expl

Answer:

Step-by-step explanation:

joe mama

Step 1: Solve for one of the equations for either variable.

Step 2: Substitute the expression from Step 1 into the other equation.

Step 3: Solve the resulting equation.

Step 4: Substitute the solution in Step 3 into one of the original equations to find the other variable.

Step 5: Write the solution as an ordered pair.

Step 6: Check that the ordered pair is a solution to both original equations.

o b.They are congruent ✓

Answer:

Blue bottle holds more.

Step-by-step explanation:

Given:

Green Bottle = 8 3/5 = 43/5

Blue Bottle = 8 6/7 = 62/7

Now:

we can write 43/45 as;

43/5 x 7/7 = 301/35     (1)

similarly, 62/7 = 62/7 x 5/5 = 310/35   (2)

Comparing both (1) and (2),

301/35 < 310/35

:. (301 < 310)

Hence,

Blue Bottle will hold more.

Answer:

(5,3)

Step-by-step explanation:

Answer:

that it

Step-by-step explanation:

The Plot of the point (1.5, −3) on the coordinate plane is represented by Red dot in the attached graph.

The cartesian coordinate plane is an infinite 2 dimensional plane. Any 2 dimensional figure can be drawn on an infinite 2d plane. Each of the point of a cartesian plane is tracked by a location.

The cartesian coordinate plane is the perpendicular distance of that point from the horizontal axis and vertical axis, usually named x-axis and y-axis. The location is written as; (a,b), where 'a' is that point's shortest distance from the y-axis and called x-coordinate of that point, and 'b' is that point's shortest distance from the x-axis, and called y-coordinate of that point.

Given

Point: (1.5, −3)

Required to Plot the point (1.5, −3) on the coordinate plane.

The points can be rewritten as:

x --- f(x)

1 ---- 1

2 --- 2.5

3 ---- 6.25

The data under the x column are the domain of the function.

The Plot of the point (1.5, −3) on the coordinate plane is represented by Red dot in the attached graph.

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