what is the answer to 6y2−24y+18

Answer:

4/5

Step-by-step explanation:

.8 is the same as 8/10

8/10 simplifies to 4/5 as both the numerator and denominator can be divided by 2

Answer:

Step-by-step explanation:

0.8 = 8/10 = 4/5

The fraction 3/5 makes only the fourth equation true when added with the existing fractions. The first three equations do not yield true results when 3/5 is added.

In Mathematics, when dealing with fractions, we need to maintain the rules of basic arithmetic, meaning that equal sums must be identical on both sides of the equation. Let's check each of these equations with the fraction 3/5:

Equation 1: 7/20 + 3/5 = 14/20 + 12/20 = 26/20 ≠ 19/20. So, the answer is 'No'.

Equation 2: 3/5 + 3/10 = 12/20 + 6/20 = 18/20 ≠ 3/15. So the answer is 'No'.

Equation 3: 1/2 + 2/3 ≠ 3/5. So the answer is 'No'.

Equation 4: 1/10 + 1/2 = 2/20 + 10/20 = 12/20 = 3/5. So the answer is 'Yes'.

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The question involves converting the model depth from centimeters to meters, which typically requires dividing by 100. However, without a specific scale or additional detail, the direct conversion of 32cm would be 0.32 meters.

The student's question is about converting the depth of a model water tower, provided in centimeters, to its actual depth in meters without giving a specific depth in the question. This concept usually involves understanding the scale of models and how to apply proportional reasoning to determine actual sizes. However, without a specific scale or the actual depth given in the question, we can't calculate the actual depth.

Generally, to convert from centimeters to meters directly, we divide the length in centimeters by 100, because 1 meter equals 100 centimeters. For example, if a model tower's depth is 32cm, to find this depth in meters, you would divide 32 by 100, which equals 0.32 meters.

Answer:

Answer:Let's solve your equation step-by-step.

Step 1:

13x+8−5x=5x−5x

8x+8=0

Step 2: Subtract 8 from both sides.

8x+8−8=0−8

8x=−8

Step 3: Divide both sides by 8.

8x

8

=

−8

8

x=−1

Answer:

x=−1

Answer:

the solution of given problem is x= -1

Step-by-step explanation:

step:-1

given equation is 13 x+8=5 x

subtracting 5 x on both sides we get

[tex]13 x +8-5 x = 5 x -5 x[/tex]

simplify [tex]8x +8 =0[/tex]

subtracting  8 on both sides , we get solution is

[tex]8 x = -8[/tex]

[tex]x=-1[/tex]

Answer:

Step-by-step explanation:

Total cost  = 1.9* 40 = 76.0 = $76

When unit rate is given,multiply.

The total cost of 1.9 cubic meters of soil is $76. This is calculated by multiplying the amount of soil bought (1.9 cubic meters) by the cost of one cubic meter of soil ($40).

To calculate the total cost, we have to multiply the amount of soil bought (in cubic meter) by the cost of one cubic meter of soil. Here, the student is buying 1.9 cubic meters of soil and the cost of one cubic meter of soil is $40.

So, Total cost = amount of soil * cost of one cubic meter of soil
= 1.9 * 40
= $76

Therefore, the total cost of 1.9 cubic meter of soil is "$76."

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Answer:

y=-1/2x+2

Step-by-step explanation:

y = mx + p

m=slope = -1/2

p= y-intercept = 2

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 2

Step-by-step explanation:

The segment for - 2 ≤ x ≤ 2 is a straight line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 1) ← the endpoints of the line

m = [tex]\frac{1-3}{2+2}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = - [tex]\frac{1}{2}[/tex] x + 2 ← equation for - 2 ≤ x ≤ 2

The solution is [tex](1,1)[/tex]

Step-by-step explanation:

The system of linear equation is

[tex]y=-3x+4[/tex] and [tex]y+\frac{1}{3} y=\frac{4}{3}[/tex]

Using substitution method, let us substitute [tex]y=-3x+4[/tex] in the equation

[tex]y+\frac{1}{3} y=\frac{4}{3}[/tex]

[tex]-3 x+4+\frac{1}{3}(-3 x+4)=\frac{4}{3}[/tex]

Multiplying the term [tex]-3x+4[/tex] by [tex]\frac{1}{3}[/tex], we get,

[tex]-3 x+4-x+\frac{4}{3}=\frac{4}{3}[/tex]

Subtracting both sides by [tex]\frac{4}{3}[/tex],

[tex]-3x+4-x=0[/tex]

Simplifying, we get,

[tex]\begin{aligned}-4 x+4 &=0 \\-4 x &=-4 \\x &=1\end{aligned}[/tex]

Now, substitute [tex]x=1[/tex] in [tex]y=-3x+4[/tex]

[tex]y=-3(1)+4\\y=-3+4\\y=1[/tex]

Thus, the solution is [tex](1,1)[/tex]

Answer:

y = -3x + 4

x + 1/3y = 4/3

Substitute the first expression into the second equation for y:

x + 1/3(-3x + 4) = 4/3

x - x + 4/3 = 4/3

4/3 = 4/3

Thus, all real numbers are solutions.

Step-by-step explanation:

HOPE THIS HELPS, GOOD-LCK, and Brainliest, also let me know if i am wrong.

The horse traveled 439.6 feet after walking around the track 5 times

Solution:

Given that, horse walks around a circular track while its trainer stands in the center

The trainer is 14 feet from the horse at all times

Therefore, radius of circular track = 14 feet

The circumference of circle is the distance traveled by horse for 1 lap

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14

[tex]C = 2 \times 3.14 \times 14\\\\C = 87.92[/tex]

Thus the distance traveled by horse for one time in circular track is 87.92 feet

About how far had the horse traveled after walking around the track 5 times?

Multiply the circumference by 5

[tex]distance = 5 \times 87.92\\\\distance = 439.6[/tex]

Thus the horse traveled 439.6 feet after walking around the track 5 times

Answer:

20.x + 90 = 110.x

Answer: [tex]\angle GFH[/tex]

Step-by-step explanation:

A Transversal is defined as a line that intersect two or more lines.

For this exercise it is important to know that when a Transversal cut two parallel lines, several angles are formed. These are grouped in pairs.

One of those pairs are called "Alternate exterior angles".

Alternate exterior angles are those non-adjacent angles that are located outside the parallel lines and on opposite sides of the Transversal.

Alternate exterior angles are congruent, which means that they have equal measure.

In this case you know that the Transversal [tex]CH[/tex] cuts the parallel lines [tex]AD[/tex] and [tex]EG[/tex].

Therefore, based on the explanation given before, you can identify in the picture given in the exercise that the angles [tex]\angle ABC[/tex] and [tex]\angle GFH[/tex] are Alternate exterior angles.

Answer:

  (8π -8√3) cm²

Step-by-step explanation:

The area of a circle with radius 4 cm is given by ...

  A = πr² = π(4 cm)² = 16π cm².

The red shaded portion is part of a semicircle. That semicircle will have an area half that of the circle, so ...

  A/2 = 8π cm²

__

The triangle OCB is an equilateral triangle, so the angle at B is 60°. The side AC is then √3 times side BC*, so is 4√3 cm. The area of triangle ABC is then ...

  A = (1/2)AC·BC = (1/2)(4√3 cm)(4 cm) = 8√3 cm²

This area is subtracted from that of the semicircle to obtain the red shaded area:

  red area = semicircle area - triangle area

  red area = (8π -8√3) cm²

____

* AC can be found either from the Pythagorean theorem (√(8²-4²)), using trig functions (4tan(60°)), or using your knowledge of 30°-60°-90° triangles.

Answer:

Distributive Property

Step-by-step explanation:

19(24)=19(20)+19(4)

456 = 380 + 76

456 = 456

Hope this helps

-Amelia

Answer:

whats the question?

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

25% of 37

= 25/100 × 37

= 1/4 × 37

= 0.25 × 37

= 9.25

To find 25% of 37, you can use the equations: 'x/37 = 25/100', 'p = (0.25)37', and '25/100 x 37'. Option '37/0.25 = w' is not appropriate for finding 25% of 37.

To find 25% of 37, you can use the following methods: a), b), and d).

These three options essentially represent how percentages can be calculated:

Option c) is not suitable here because by dividing 37 by 0.25, you are finding out how many times 25% can fit into 37, not 25% of 37.

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Answer: a = 22

Step-by-step explanation: First isolate a/3 by adding 7 to both sides of the equation. That gives you a/3 = 22.

From here since a is being divided by 3, multiply both sides of the equation by 3 so a = 66. We can check our answer by substituting a 66 back in for a in the original equation and we have [tex]\frac{66}{3} - 7 =15[/tex] or 22 - 7 = 15 or 15 = 15. Since this is a true statement, our answer checks.

Answer:

This is a lengthy answer

Step-by-step explanation:

So contact me. Message me and I can explain to the fill extent

Final answer:

To find the total length of the wall, calculate the length built in 40 minutes (1200 cm) and divide by 3/4 to get the full length of 1600 cm, which is equivalent to 16 meters.

Explanation:

The question is asking us to determine the total length of the wall that a construction company is building, given that 3/4 of the wall is built in 40 minutes at a rate of 30 cm per minute. First, let's calculate the length of the wall built in 40 minutes:

The total length of the wall is 16 meters.

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

----------------------------------------------------------

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{a}[/tex]

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = [tex]\frac{18}{tan48}[/tex] ≈ 16.2 ( to the nearest tenth )

-----------------------------------------------------------

sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{c}[/tex]

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c = [tex]\frac{18}{sin48}[/tex] ≈ 24.2 ( to the nearest tenth )

Answer:

103

Step-by-step explanation:

You start with long division 4 goes into 4 1 time and then 0 cause you have nothing else drop the 12 and then 4 goes into 12 3 times 103

Answer:

103

Step-by-step explanation:

If you solve it using partial quotients, it would be eaisier to demonstrate than using another method like standard division.

Hope this helps!

-Coconut;)

Answer:

I believe it is 1/4

Sorry if I am wrong

the answer is 1/4

this is from apx :))

Answer:

Step-by-step explanation:

y - y1 = m(x - x1)

slope m = 3/2, y1 = -7, x1 = 4

y + 7 = 3/2(x - 4)

y + 7 = 3x/2 - 6

y = 3x/2 - 6 - 7

y = 3x/2 - 13

Answer:

The equation of the required straight line is y = 4x + 1.

Step-by-step explanation:

The equation of all the straight lines that are parallel to the straight line y = 4x - 3 is given by  

y = 4x + c .............. (1)  

where, c is any real constant and c ≠ - 3.

{Since parallel straight lines have the same slope and different y-intercept }

Now, we have to find the value of c such that the parallel straight line passes through the point (-1,-3).

Now, putting x = - 1 and y = - 3 in equation (1) we get,

- 3 = 4(- 1) + c

⇒ c = 1

Therefore, the equation of the required straight line is y = 4x + 1. (Answer)

Answer:

1/13

Step-by-step explanation:

since there are four 6 in a deck ( 1 for each suite )

probability of picking up a 6 is 4/52 = 1/13

A: 1/13

Divide 52 by 4 because there are 4 copies of each card in the deck (Not counting joker) You should get 13 and if you are drawing only ONE card, then you will have a 1/13 chance to draw a 6

Answer:

-5x³ -5x² -9x - 4

Step-by-step explanation:

(-6x³-4x²-8)+(x³-x²-9x+4)

Add the like terms.

-6x³ and x³ are like terms. -6x³ + x³ = -5x³

-4x² and -x² are like terms. -4x² - x² = -5x²

-8 and 4 are like terms. -8 + 4 = -4

-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4

Answer: The answer is....I don't remember how to do this sort of problem...... sorry.....

Step-by-step explanation: So the three angles of a triangle equal to 180°.

First you have to find the angle that's missing besides "m"

Second add together the two angles you have.

Then You subtract the sum from 180.

Finally you have your answer.

Answer:

[tex]y=4000*(1.05)^t[/tex]

Step-by-step explanation:

The graduating class grows by 5% each year, this means after 1 year the number of students graduating will be 105% of 4000, or

[tex]4000*\frac{105}{100} =4000*1.05[/tex]

And after 2 years it will be

[tex](4000*1.05)*1.05[/tex]

and so on. Thus, after [tex]t[/tex] years the number of students [tex]y[/tex] will be

[tex]\boxed{ y=400*(1.05)^t}[/tex]

An exponential function to model the number of students y in the graduating class t years  after 2008 is y = 4000(1.05)^t

The standard exponential function is expressed as:

y = ab^x

If a college with a graduating class of 4000 students in the year 2008 predicts that its graduating class  will grow 5% per year, hence the required exponential equation will be:

y = 4000(1.05)^t

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The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Step-by-step explanation:

Given,

Distance covered by Kurt's car = 23 miles per gallon of gasoline

Kurt fills up tank of his car with g gallons.

Number of gallons in car's tank = g gallons

Distance covered by g gallons = D = Distance covered by one gallon * Number of gallons

D = 23*g

D = 23g

The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Keywords: distance, multiplication

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Answer:

  tan(F) = z/(2y)

Step-by-step explanation:

Make use of the similarity relationship to find the side necessary to compute the tangent. Then make use of the tangent definition.*

__

The two triangles are given as being similar. That means corresponding sides have the same ratios:

  EF/AC = ED/AB

  ED = AB·(EF/AC) = 4z(x/(8x)) = (4/8)z = z/2

The mnemonic SOH CAH TOA reminds you that the tangent relationship is ...

  Tan = Opposite/Adjacent

  tan(F) = ED/DF = (z/2)/y

  tan(F) = z/(2y)

_____

* Actually, you need to do this in reverse order: first you need to determine if you have all the necessary information to answer the question. You don't.

You need to know the length of side ED in terms of z. You notice that the corresponding side in similar triangle ABC has its length marked as a function of z, so all you need to find ED is the scale factor between the two triangles.

Since both hypotenuses are marked in terms of x, the scale factor is easily found.