Solve: 4x + 6 = 8x - 18

Answer:  x = -3/2

Step-by-step explanation:

3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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Answer:

$886.47

Step-by-step explanation:

Answer:

the answer=C.16>-10

Step-by-step explanation:

sixteen is more than Negative ten

Amber and Jimmy's speed for driving their cars to the theme park is 76.5 miles per hour.

Speed refers to the rate of movement of a vehicle or person.

The speed can be computed by dividing the total distance by the time consumed.

Total distance = 153 miles

Time is taken to cover distance = 2 hours

Speed per hour = 76.5 miles (153/2)

What is Amber and Jimmy's speed?

Thus, Amber and Jimmy's speed for driving their cars to the theme park is 76.5 miles per hour.

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Answer:

it lies between 16 and 18

Step-by-step explanation:

Answer:

16 and 18

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Congruent triangles are exact same triangles, but they might be placed at different positions. The statement is true.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

\(\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF\)

(|AB| denotes the length of line segment AB, and so on for others).

In the two triangles, ΔACD and ΔBCD,

DC is the common side

∠ADC = ∠BDC = 90°

∠ACD = ∠BCD (Given)

Thus, the two triangles are congruent and the sides AD≅DB.

Hence, the statement is true.

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Considering the expression 6+(x+3)^2. the table of at least SIX different values of the expression is

x               y

0            15

1             22

2            31

3            42

4            55

5            70

The table is completed by substituting the values of x in the given expression as follows

6 + (  x + 3 )^2

for x = 0, y = 6 + ( 0 + 3) ^2 = 15

for x = 1, y = 6 + ( 1 + 3) ^2 = 22

for x = 2, y = 6 + ( 2 + 3) ^2 = 31

for x = 3, y = 6 + ( 3 + 3) ^2 = 42

for x = 4, y = 6 + ( 4 + 3) ^2 = 55

for x = 5, y = 6 + ( 5 + 3) ^2 = 70

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Answer:

x = 3. y= 9

Step-by-step explanation:

2x +3 = -2x +15

4x = 12

x = 3

y 2(3) + 3 = 9

To complete the job in 12 days, they need 100 workers.

We know that 30 workes can complete 1 job in 40 days, then if each worker works at a rate R, then we can write:

30*R*40 days = 1 job

R = (1/1200) job/day

Then if they need to complete the job in 12 days, the number N of workers needed is:

N*(1/1200)*12 = 1

N = (1200/12) = 100

100 workers are needed.

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Answer:

B. x < 24

Step-by-step explanation:

16 > - 8 + x

+8 > +8 + x     Add 8 to both sides

24 > x

Final answer: x < 24

The amount of pounds of each coffee that should mixed is =4,444 pounds for Bolivian coffee; and 3,429 pounds for Colombian coffee.

Bolivian coffee = $4.59 per pound

Colombian coffee = $5.95 per pound

But 1 pound = $5.10

4000 pounds= X

X = 4000 × 5.10

X =$20,400

To solve for the amount of pounds of each coffee that should mixed to produce $20,400.

For Bolivian coffee;

$4.59 = 1 pound

$20,400 = B

cross multiply,

B = $20,400/4.59

B = 4,444 pounds

For Colombian coffee:

$5.95 = 1 pound

$20,400 = C

Cross multiply,

C = $20,400/$5.95

C = 3,429 pounds

Therefore, the amount of pounds of each coffee that should mixed is 4,444 pounds for Bolivian coffee; and 3,429 pounds for Colombian coffee.

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Answer:

2 19/24 is the simplified answer

Step-by-step explanation:

Hope this helped! :)

Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:

Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:

Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:

Answer:

-2, S, U, V. that was a good question.

Step-by-step explanation:

Thanks. You are known.

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:

y = 250 - 35x

Or

y = -35x + 250

---

m = -35, b = 250

Answer:

\(Height = 15\)

\(Base = 45\)

Step-by-step explanation:

Given

Shape: Rectangle

\(Perimeter = 120cm\)

\(Base = 3 * Height\)

Required

Determine the dimensions

The perimeter of a rectangle is:

\(Perimeter = 2 * (Base + Height)\)

Substitute 120 for Perimeter

\(120 = 2 * (Base + Height)\)

Divide both sides by 2

\(60 = Base + Height\)

Substitute 3 * Height for Base

\(60 = 3 * Height + Height\)

\(60 = 3Height + Height\)

\(60 = 4Height\)

Divide both sides by 4

\(15 = Height\)

\(Height = 15\)

Substitute 15 for Height in \(Base = 3 * Height\)

\(Base = 3 * 15\)

\(Base = 45\)

Answer:

x²+2x+7-21=0

x²+2x-14. =0

x²+2x. =14

x²+2x+1. =14+1

(X+1)². =15

X+1. =+/-√15

X=-1+/-√15

X=-1+3.872983346207

=2.872983346207(greatest solution) round it as possible

X=-1-3.872983346207

=-4.872983346207

      Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

Similar shapes are enlargements of each other using a scale factor.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The scale factors for length, area and volume are not the same.

From the given diagram,

 Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

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In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.

In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.

This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.

To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.

We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.

So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.

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Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

3

Step-by-step explanation:

given

3 + 11t - 9u

if t = 9, and u = 11, substitute these numbers into the equation:

3 + 11(9) - 9(11)

= 3 + 99 - 99

= 3

Answer: 3

Step-by-step explanation:

3+11t-9u=3+11(9)-9(11)

            =3+99-99

            =102-99

            =3

Answer:

263632+_ihd443

Step-by-step explanation:

The required number of unicycles, bicycles, and tricycles is 3, 22, and 13 respectively and the expression for the unicycle is 3z= 10x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of unicycles, bicycles, and tricycles be x, y and z.
According to the question,

x + y + z = 38 - - -- - - (1)
3/2z = y - 2
y = 3/2z+2   - - - - - - (2)
3z= 10x - - - - - - (3)
Put the value of x and y in equation 1.
3z/10 + 3/2z + 2 + z = 38
3z + 15z + 20 + 10z = 380
28z = 360
z = 13 (approx)
Put z in equation 2
y = 13×3/2 + 2
y = 19.5 + 2
y = 22 (approx)
Now put z and y in equation 1
x = 3

Thus, the required number of unicycles, bicycles, and tricycles is 3, 22, and 13 respectively and the expression for the unicycle is 3z= 10x.


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Answer:

7(n + 4)

Step-by-step explanation:

Represent the number by n.  Then the verbal expression becomes

7(n + 4).

=109

Answer:

74 Degrees

Step-by-step explanation:

How i got it was we already know a triangle equal 180 degrees so you have to just add 69 degrees by 37 degrees and once you get the answer to the subtract it by 180 degrees and you get 74 degrees.

Answer:

7

Step-by-step explanation: