expand and simpify (x+4)(x-7)

Answer:

56

Step-by-step explanation:

4 x 5 = 20

20/2 = 10

4 x 5 = 20

20/2 = 10

6 x 6 = 36

20 + 36 = 56

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Answer:

56

Step-by-step explanation:

statement 1 b/c 6/12 = 1/2

Answer:

the answer is 168 is the answer

Answer:

4521.6

Step-by-step explanation:

pi*r^2*h = pi*144*10 = 1440 pi which is roughly 4521.6

Answer:

979.68

Step-by-step explanation:

Answer:

$1400

Step-by-step explanation:

Answer:

$1,400.00

Step-by-step explanation:

You have to multiply $8.75 by the 20 hours to get $175, then you multiply that by 8 weeks to get $1,400

Answer:

376

Step-by-step explanation:

312,336,336,368,384,416,488,624

the middle numbers are 368 and 384

the median is the middle of the middle numbers

to find this number we add up 368 and 384 and divide the answer by 2

368+384=752

752/2=376

Answer:

376

Step-by-step explanation:

1. To find the median you have to first arrange the numbers in numerical order.

2. Count how many numbers you have.

3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.

So considering you have 8 numbers if you divide 8 ÷ 2 = 4

the 4th number arranged is 368. Now to average 368 and 384. 368+384=752

752 ÷ 2 = 376

Answer:

x = 1/2

y = -1/3

Step-by-step explanation:

10x - 9y = 8    (Multiply by 3)

15x + 21y = 0.5 (Multiply by -2)

30x - 27y = 24

-30x - 42y = -1

-69y = 23

y = -1/3

10x - 9y = 8

10x - 9(-1/3) = 8

10x + 3 = 8

10x = 5

x = 1/2

Answer:

Evaluate for x=0.02,y=0.1,z=0.3

(3)(0.02)−(2(0.12)+0.33)

(3)(0.02)−(2(0.12)+0.33)

=0.013

Step-by-step explanation:

Step-by-step explanation:

1a)you are asked to find the number of girls and boys who received prizes

1b)The given facts are that out of 60 pupils, 40 being boys, 20 being girls, joined a Math Quiz competition. 20%of boys and 15 of girls received prizes.

1c)40 boys +20 girls=60 pupils.

1d) Find the number of girls and boys that re ceived prizes

20% of 40 boys

20/100 ×40= 8 boys won prizes

15% of 20 girls

15/100×20=3 girls won prizes

1d) 8 boys+3 girls=11 pupils won prizes

The triangles XYZ and ABC are congruent by SAS postulate.

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given two triangles XYZ and ABC.

If the two triangles are congruent, their corresponding sides and angles must be equal.

Given,

∠Y = ∠B

XY ≅ AB

YZ ≅ BC

SAS congruence theorem states that if two sides and an included angle of a triangle is equal to corresponding two sides and an included angle of the other triangle, then they are congruent.

So, ΔXYZ ≅ ΔABC by SAS postulate.

Hence the two triangles are congruent by SAS postulate.

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Answer:

<z = 37

Step-by-step explanation:

<x = 90

<y = 53

<z = ?

<x + <y + <z = 180

90 + 53 + <z = 180

143 + <z = 180

<z = 180 - 143

<z = 37

Answer:

37

Step-by-step explanation:

180-90-53= 37

Answer:

The measure of the angle( F is 150 °)

Step-by-step explanation:

[tex]210 + f = 360 \\f = 360 - 210 \\ f = 150 \: \: degree[/tex]

I hope that is useful for you :)

Answer:

x=3

Step-by-step explanation:

3x=9

Divide both sides by 3 and you get 1x=3 or basically x=3.

So the answer would be x=3.

Answer:

The maximum height that the ball reaches is of 3.96 meters.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

The height after t seconds is given by:

[tex]h(t) = -51t^2 + 20t + 2[/tex]

Which is a quadratic equation with [tex]a = -51, b = 20, c = 2[/tex]

What is the maximum height that the ball reaches?

This is [tex]h_v[/tex].

[tex]\Delta = b^2-4ac = 20^2 - 4(-51)(2) = 808[/tex]

[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{808}{4(-51)} = 3.96[/tex]

The maximum height that the ball reaches is of 3.96 meters.

Answer:

jngijmgjim

Step-by-step explanation:

gvnjv jg

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Answer:

17 1/4

Step-by-step explanation:

69/4 = 17 1/4 or 17.25

Answer:

17 1/4

Step-by-step explanation:

23/1 *3/4

23*3 1*4 = 69/4 simplify 17 1/4

Answer:

First one is:

1 + 8 + 64 + 512 + 4096

Second one is:

73

Answer:

First one is:

1 + 8 + 64 + 512 + 4096

Second one is:

73

Step-by-step explanation:

Answer:

D. 75

Step-by-step explanation:

The cost to buy all of the crown molding for the bedroom would be $75.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.

Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.

Hence, cost to buy all of the crown molding for the bedroom = $75.

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Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:

V = (1/3) * π * r² * h

First, simplify the volume formula for a cone to make it easier to manipulate:

V = 1/3πr²h

Next, plug in the given values for the first cone:

V = 1/3π(2²)(8) = 32π/3

Then, divide the volume of the sink by the volume of the first cone:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

Now, calculate the volume of the second cone using the same formula:

V = 1/3π(4²)(8) = 128π/3

Finally, divide the volume of the sink by the volume of the second cone:

2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.

Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

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Answer:

[tex]4a[/tex]

Step-by-step explanation:

Just like addition.

Answer:

where's the question???

Step-by-step explanation:

Step-by-step explanation:

Volume of cylinder=πr²h

Answer: 7 cubic meters

Step-by-step explanation:

you add

Answer:

Distance is 10 units.

Step-by-step explanation:

Use distance formula to find the distance.

Answer:

it 3

Step-by-step explanation:

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

Answer:

x=18 OR x=-18

Step-by-step explanation:

[tex]4x^2=1296\\x^2=324\\x=+-sqrt(234)\\x=18 OR x=-18[/tex]

Answer:

False ;

False ;

False

Step-by-step explanation:

In a perfectly symmetric distribution, the mean and Median values are the same. But for skewed distributon, the median is greater than the mean (negatively skewed or left skewed data). Hence, the assertion is false.

The sign of the correlation Coefficient does not give information about how good a line fits. The sign attached to the correlation Coefficient gives information about the slope and hence, the type of relationship between the variables.

Positive (+) sign = positive relationship between variables ; negative (-) sign = negative relationship between variables.

C.)

The value of the range is not always higher Than the value of the interquartile range. The IQR might have the same value as the value of the range.

For instance :

Given the data :

1, 1, 1, 2, 2, 3, 4, 4, 4

Range = maximum - minimum

Range = 4 - 1 = 3

Interquartile range (IQR) :

IQR = Q3 - Q1

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) = 7.5th term

Q3 = (7th + 8th) / 2 = (4+4)/2 = 4

Q1 = 1/4(10) = 2.5th term

Q1 = (2nd + 3rd) / 2

Q1 = (1 + 1) /2 = 1

Q3 - Q1 = 4 - 1 = 3

Answer:

33.3%

Step-by-step explanation:

(279,000 - 186,000) / 279,000 = 0.33333333333

0.33333333333*100= 33.3333333333

Formula used:

[tex]V_{2} -V_{1}[/tex] / [tex]V_{2}[/tex] × 100

V2= 279,000

V1= 186,000

The approximate percentage of the decrease in value​ of the house is 33.33%.

Purchase price of the house = $279,000

Appraisal cost of the house = $186,000

The percentage is the value per hundred.

The percent of the decrease in value​ = (279000-186000)/279000 *100

The percent of the decrease in value​ =(93000/279000) *100

The percent of the decrease in value​ =33.33%

Hence, the approximate percentage of the decrease in value​ of the house is 33.33%.

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