What are three consecutive even integers whose sum is 66

Answer:

x = - 15

Step-by-step explanation:

Given

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

Multiply through by 3 to clear the fraction

4x + 9 = 3x - 6 ( subtract 3x from both sides )

x + 9 = - 6 ( subtract 9 from both sides )

x = - 15

Step-by-step explanation:

find the LCM of 3 and 1 which is 3

then you have

4x/3 +3/1 =4x+9/3

now equate the above with x-2

4x+9/3=x-2

Cross multiply

3(x-2)=1(4x+9)

3x-6=4x+9

3x-4x=9+6

-x=15

x = -15

Answer: the area is 224

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A;  &

Let Claire be = C

A: C = 7 : 4

[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]

7C = 4A

[tex]C = \dfrac{4A}{7}[/tex] --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]

25(C + 68) = 41A

C + 68 = [tex]\dfrac{41}{25}A[/tex]

[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)

Equating (1) and (2) together;

[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]

[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]

[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]

[tex]\dfrac{-187A}{175} = -68[/tex]

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; [tex]C = \dfrac{4A}{7}[/tex]

[tex]C = \dfrac{4*64}{7}[/tex]

C = 36.57

C ≅ 37 beads

Answer:

1/2

Step-by-step explanation:

Answer:

30km/hr

Step-by-step explanation:

18km/hr +12km/hr

The man rides 86.4 km distance.

Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.

Speed is directly Proportional to Distance and inversely proportional to Time.

Speed = Distance/Time

Given,

Speed of man way to the village = 18km/hour

Speed of man when returns from the village = 12km/hour

Time for double journey = 6 hour

Let going time is x and returning time is y

x + y = 6   -------(a)

⇒ x = 6 - y

Distance for going = distance for returning

18x = 12y

Putting value of x in terms of y

18(6 - y) = 12y

108 - 18y = 12y

30y = 108

y = 108/30

y = 3.6 hours

Putting value of y in equation (a)

x + 3.6 = 6

x = 6 - 3.6

x = 2.4

Returning time = 3.6 hours

Returning distance = returning time × returning speed = 3.6 × 12

Returning distance = 43.2 km

Going distance = Returning distance = 43.2

Total ride distance = 43.2 + 43.2 = 86.4 km

Hence, 86.4 km is the distance of ride by the man.

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Answer:

Displacement = 0 mi

Distance = 164,996.45 mi

Step-by-step explanation:

In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.

When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.

The perimeter of a circle is given by the equation:

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

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

[tex]r=r_{earth}+h[/tex]

where h is the height of the satellite, so the radius of the circle is:

[tex]r=22,300mi + 3,960 mi[/tex]

so

r=26,260 mi

so now we can use the perimeter equation to get:

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

[tex]p=2\pi (26,260)[/tex]

So the distance traveled by the satellite in one day will be:

P=164,996.45 mi.

Answer:

20cows and 29 chickens

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1)  part. This happens for x=1. So you can already rule out answers C and D.

Now fill in x=-2 in both remaining answers and see what happens.

For A: y = -2(-2 - 1)² + 3 = -15

For B: y = (-2 - 1)² + 3 = 12

That eliminates B and leaves A.

Answer:

12$ an hour.

Step-by-step explanation:

Simply set it up as fraction in a way set it as  30/2.5 and divide both values by 2.5 which you get 12 from 30 and 1 from 2.5 there's your unit rate. 12/1 or 12$ an hour.

Answer:

1. the best teacher

teach from the heart ❤️

not from the book

2. a good education can change anyone.

a good teacher can change everything.

3.teaching is a work of a Heart

The question is incomplete, the complete question is shown in the image attached.

Answer:

Material 1

Step-by-step explanation:

Given the table shown in the complete question, we can see that the weights in material 1 does not have a proportional relationship with length.

If something has a proportional relationship, then it increases or decreases by a constant value called the constant of proportionality. This is not the case in material 1 as seen from the table.

Answer:

material 1

Step-by-step explanation:

Answer:500

Step-by-step explanation:500 +7++U+U++UU+

Answer:

f(x)=-8x+8

f(-3)

ANSWER: 11/8

*the graph of Function W and table of values of Function Z are in the diagram attached below.

Answer:

B. The slope of Function W is greater than the slope of Function Z.

F. The y-intercept of Function W is greater than the y-intercept of Function Z.

Step-by-step explanation:

To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.

✍️Function W:

Slope of Function B, using two points on the line, (0, -1) and (2, 0):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5 [/tex]

✅Slope = 0.5.

y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.

✅y-intercept = -1.

✍️Function Z:

Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25 [/tex]

✅Slope = 0.25.

y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:

✅y-intercept = -2.

Thus, the following statements that compares both functions are TRUE:

B. The slope of Function W is greater than the slope of Function Z.

✔️This is TRUE because 0.5 is greater than 0.25.

F. The y-intercept of Function W is greater than the y-intercept of Function Z.

✔️This is TRUE because -1 is greater than -2.

Answer: B and F

Step-by-step explanation:

Answer:

the answer is 0.3%

Step-by-step explanation:

12 divided by 40 is 0.3

Answer:

30%

Step-by-step explanation:

Write a proportion.

12 / 40 = x / 100

Cross multiply.

40x = 1200

Solve for x.

x = 30

She ate 30% of the chips.

Answer:

8.28

Step-by-step explanation:

since you have 5, you would round up 1 so 8.

You’re welcome :)

Answer:

A. 15-year mortgage =$141,478.20

30-year mortgage =$187,707.60

B. $46,229.40

Step-by-step explanation:

A. Calculation to Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the​ 30-year mortgage.

Calculation for 15-year mortgage

Cost amount to save for 15-year mortgage=$785.99*15-year*12 months

Cost amount to save for 15-year mortgage =$141,478.20

Calculation for 30-year mortgage

Cost amount to save for 30-year mortgage =$521.41*30-year*12 months

Cost amount to save for 30-year mortgage =$187,707.60

B. Calculation for How much would they save if they selected the​ 15-year mortgage

Using this formula

Amount to save=30-year mortgage -15-year mortgage

Let plug in the formula

Amount to save=$187,707.60-$141,478.20

Amount to save=$46,229.40

Therefore How much would they save if they selected the​ 15-year mortgage will be $46,229.40

Answer:

D

Step-by-step explanation:

since her test average for the first 8 tests is 80, the sum of all the scores for the first 8 tests is 640. Since her 9th test is 71, we do 640+71=711. To find the average of all 9 tests, we do 711/9 = 79

D

Answer:

Value of C(0.7) = 24 means that the cost of 0.7 gigabytes of data is $24

Step-by-step explanation:

We are told the monthly cost of the 2 gigabyte monthly allowance for data is;

C(x) = 30x + 3

where x is the gigabytes of data used over the monthly allowance

Now, we want to find C(0.7)

C(0.7) = 30(0.7) + 3

C(0.7) = 21 + 3

C(0.7) = 24

This value of C(0.7) = 24 means that the cost of 0.7 gigabytes is $24

Answer:

18x

Step-by-step explanation:

3x^2 - 27 = -18x

x^2 - 3x = -1x

-18x / -1x = 18x

3x^2 = 9

x^2 = 2x

Answer:

The answer is A

Step-by-step explanation:

B was the closest but it's A

The y-intercept of the graph is -3

The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.

Using slope intercept formula,

y = mx + b

where

Now, let's trace the value of y when x = 0 in the graph.

Therefore,

when x = 0, y = -3

Hence, the y-intercept of the graph is -3

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Answer:

y=2x-1

Step-by-step explanation:

Gradient : (7-3) / (4-2) = 2

y=2x+c

substitute one of the points

3=2*2+c

c=-1

y=2x-1

Answer:

Step-by-step explanation:

I'm a little confused by your question. But I solved the question this way.

y+12+2y-18+2y+16=180

Why 180° you ask? Because the angle sum interior of a triangle always measures 180°.

(y+2y+2y)+(12+−18+16)=180

5y+10=180

Subtract

5y+10−10=180−10

5y=170

divide

5y/5=170/5

y=34

Answer:

The coordinates of Point D are: (-5,-8)

Step-by-step explanation:

The formula for mid-point is given by:

[tex]M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]

For the point (x1,y1) and (x2,y2)

Given that

M = (-3, -6)

C = (-1, -4) => (x1,y1)

Putting the values of given points in the formula for mid-point

[tex](-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})[/tex]

Putting respective coordinates equal

[tex]-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8[/tex]

Hence,

The coordinates of Point D are: (-5,-8)

Answer:

See explanation

Step-by-step explanation:

The matched pair experimental design was used here. In this type of design, the experimental units are paired up . Different individuals receive different treatments. A popular type of matched-pairs design is this; a response variable's effect on an experimental unit is measured before and after a treatment is applied.

Reaction time is the response variable here . It is quantitative because it can be counted or measured.

The treatment was water mixed with orange juice with the scent and taste of vodka and subsequently 40% vodka mixed with orange juice.

Food consumption and intake of caffeinated drinks were controlled and set at a fixed level in this experiment.

Age ,gender and weight may also affect the reaction of the seniors to alcohol .

This treatment served the purpose of a placebo thereby working as a control that helps us to establish a baseline treatment that can be used to compare with the results of other treatments .

The research conclusion is that response times are significantly delayed even for low levels of alcohol consumption in seniors .This conclusion can only be applied to healthy seniors that consume a low level of alcohol.

Answer:

A line segment has two ends, and a line doesn't end.

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

42% of 100 in 42

100x3=300 soooo

42x3=126