Enter the sentence as an equation or inequality. Use x to represent any unknown number.

The sum of 4 and a number is 15.

Answer:

[tex]a_{n}[/tex] = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

Answer:

its a on edg 2021

Step-by-step explanation:

The median age of a man at the time of his first marriage is, on the average, constant.

It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.

Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.

Determine the rate of change between 1950 and 1960.

The average rate of change = [f(a) - f(b)]/ [ a - b ]

The average rate of change is equal to (22.8 - 22.8) / 10 = 0.

As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.

learn more about average rate of change here:

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Answer:

57in^2

Step-by-step explanation:

Divide the shape into 2 recatngles.

Imagine a line cuts away a rectangle of length 12in by width 4in. from a square  of length (12-9)in. and width (7-4)in

This gives you 2 different shapes

Find their area

Rectangle one has an area of = 12in x 4in = 48in^2

Square has an area of = (12-9) in x (7-4) in = 3x 3 inch = 9in.^2

Find their sum to find the area of the whole compound shape:

48+9 = 57in^2

Hope this helps

Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.

Step-by-step explanation:

Answer:

785

Step-by-step explanation:

flowers needed to surround the garden = circumference of the garden / space

circumference of a circle = 2nr

n = 3.14

r = radius

The radius is in ft and the space is in inches. i would convert the ft to inches to aid comparability

1ft = 12 inches

125 x 3 = 375

2 x 3.14 x 375 = 2355

flowers needed = 2355 / 3 = 785

Answer:

∠ 1 = 102°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle , then

∠ 1 = 33° + 69° = 102°

Answer:

102

Step-by-step explanation:

exterior angle rule:

an exterior angle of a triangle is equal to the two opposite interior angles

so m1= sum of opposite interior angles (69 and 33)

69+33=102

so m1 = 102

Answer:

y equals 4 because if you substitute solve and isolate you get that answer.

Answer:

Total Money= $250

Fence Price=$22.50/m

Metres can buy= $250/22.50= 11.11 metres

Answer:

Go two back away from -5

Step-by-step explanation:

I don't know how to explain this but like start at -5 and then go back two?

Or start at -10 and go forward 3

hope it helps :)

Answer:

decomposer

Step-by-step explanation:

Answer: 325 students

Step-by-step explanation:

13 students were absent and this is 4% of the school's total enrollment.

If 13 students represent 4% of the students, assume that x represents 100% of the students:

4% * x = 13

0.04x = 13

x = 13/0.04

x = 325 students

There are 325 students in this school.

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

Answer:

-4

Step-by-step explanation:

you flip the ratio from the original line

They both equal to -0.09

Answer:

-0.0958296362=-0.09

this is the answer for both

like last time>:(

Step-by-step explanation:

Answer:

60 cubic inches

Step-by-step explanation:

A = πr²(h/3) = 4(5)π

Answer: m is the slope and b is the y-intercept.

Step-by-step explanation:

it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .

5:15pm was the start time.

Answer:

Step-by-step explanation:

The square root of a negative number is an irrational value

Answer:

✓-1 is an error but according to the rule of mathematics -1 is still the same thing as 0

✓0 is = 0

Answer:

We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;

t² = 39.2 × 2/9.81

From which we have;

The time it takes the snowball to reach the ground is approximately 2.83 seconds

Step-by-step explanation:

The height of the building from which the ball is dropped, h = 39.2 m

The equation of the dropped a snowball, is given as follows;

t² = 39.2 × 9.8

Using the From the equation of free fall, we have;

s = u·t + 1/2·g·t²

Where;

u = The initial velocity = 0 m/s

t = The time of flight

g = The acceleration due to gravity = 9.81 m/s²

Therefore, we get;

∴ s = The height from which the snowball is dropped = 39.2 m

Therefore, we get;

39.2 = 0×t + 1/2×9.81×t²

∴ t² = 39.2 × 2/9.81  ≈ 7.99

t = √(7.99) ≈ 2.83

The time it takes the snowball to reach the ground, t ≈ 2.83 s.

Answer:

2 seconds

Explanation:

I had to do this assignment that's the correct answer

Answer:

T=116

Step-by-step explanation:

That is a 90 degree angle and a 26 degree angle, so 26+90=116. 360 is the total degrees in all, so 360-116=224. t degrees is 116.

Step-by-step explanation:

t = 90° + 26° { Being vertically opposite angles }

t = 116 °

Hope it will help :)❤

Answer:

42

Step-by-step explanation:

The remaining sheets of paper can be find in this way:

8-2 = 6

for each sheet of paper she drew 7 stars, so the total can be find in this way:

6 x 7 = 42 stars

Answer:

42 miles

Step-by-step explanation:

20 x 16.7 = 334 miles on a full tank of gas

he drove 292 miles so 334 - 292 = 42 miles left

Given:

A circle with center Z and the points W, X, Y are on the circumference of the circle.

To find:

The measure of angle WXY.

Solution:

From the given figure, we get

[tex]Arc(XY)=156^\circ[/tex]

[tex]Arc(WX)=86^\circ[/tex]

The measure of arc of the complete circle is 360 degrees.

[tex]Arc(WX)+Arc(XY)+Arc(WY)=360^\circ[/tex]

[tex]86^\circ+156^\circ+Arc(WY)=360^\circ[/tex]

[tex]Arc(WY)=360^\circ-86^\circ-156^\circ[/tex]

[tex]Arc(WY)=118^\circ[/tex]

The measure of arc WY is 118 degrees. It means the central angle on this arc is also 118 degrees.

[tex]m\angle WZY=118^\circ[/tex]

According to the central angle theorem, the inscribed angle on an arc is always half of its central angle.

[tex]m\angle WXY=\dfrac{m\angle WZY}{2}[/tex]

[tex]m\angle WXY=\dfrac{118^\circ}{2}[/tex]

[tex]m\angle WXY=59^\circ[/tex]

Therefore, the correct option is A.

Answer:

c) similar by the AA rule

Answer:

x = 11

Step-by-step explanation:

Assuming that segment EG is a diameter we can solve this using the straight angle theorem ( Which states that angles on a straight line add up to equal 180. Also note that central angles and there corresponding arcs are congruent. )

We are also told that CH is a bisector.

A bisector splits an angle into TWO EQUAL parts.

mDG is split into mDC and mCG

So mDC = mCG

This meaning that because mDC = 7x + -1 , mCG also equals 7x - 1

Leading to us having enough information to use the straight line theorem ( which also works with half circles and arcs. )

So 180 = 2 ( 7x - 1 ) + 2x + 6

now we solve for x

step 1 distribute the 2

2 * 7x = 14x

2 * - 1 = -2

now we have 180 = 14x - 2+ 2x + 6

step 2 combine like terms

14x + 2x = 16x

-2 + 6 = 4

now we have 180 = 16x + 4

step 3 subtract 4 from each side

4 - 4 cancels out

180 -  4 = 176

Now we have 176 = 14x

step 4 divide each side by 14

176 / 16 = 11

14x/14 = x

we're left with x = 11

Answer:

15.2

mediana=

Step-by-step explanation:

17+10+18+18+12+16=91

91/6 (6 son las respuestas)

mediana= 15.2

10, 12, 16, (16.5) 17, 18, 18

media= literalmente en Medio de los numeros,

16.5

Answer:

B- 960 square meters

Step-by-step explanation: