what is the sum of 13=m+21

Answers

Answer 1

Answer:

8

Step-by-step explanation:

21-13=8

m=8

Answer 2

Answer:

m= -8

Step-by-step explanation:

13= m+21

-21      -21

subtract 21 from both sides to get "m" alone

-8=m


Related Questions

What is the new cost if a $2.75 toy is marked up by 29%?

Answers

Answer:

$3.55

Step-by-step explanation:

You need to add 29% of $2.75 to $2.75.

That means the price will be 129% of $2.75.

129% of $2.75 =

= 1.29 * $2.75

= $3.55

Answer- 3.54
2.75 x .29 = 0.7975
2.75 + 0.7975 = 3.54

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

answer is 45 if helped please give 5 star

45 I believe, I hope it helped :,0

The following quadrilateral is a parallelogram.
W
V
12
?
T
11.5
Side WT is
units long​

Answers

Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

A
B
a
If c = 16 and B = 67, find a.
a. 4.5
b. 5.6
C. 6.3
d. 7.4
Please select the best answer from the choices provided
СА
ОВ

Answers

Answer:

a

Step-by-step explanation:

The measure of side a is 6.3 unit.

What is Sine law?

The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.

Given:

c= 16 and B= 67 degree

<C= 90 degree

Using sine law

b / sin B = c / sin C

b / sin 67 = 16 / sin 90

b/ sin 67 = 16 / 1

b = 16 sin 67

b = 16 x 0.9205

b = 14. 728

Using sine law

c / sin C = a / sin A

16 / sin 90 = a / sin 23

16 = a / sin 23

a = 6.25

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Here is a circle touching a square.
The area of the square is 36 cm2
Work out the area of the circle.
Give your answer in terms of pie .​

Answers

Answer: 9πcm²

Step-by-step explanation: area of the square= 36cm²

Therefore, the area of one side= √area = √36 = 6cms

Since the circle is touching the sides of the square, the side of the square = the diameter of the circle

Therefore the radius of the circle= side/2 = 3cm

The formula for the ares of the circle is πr²

π*3*3 = 9πcm²

6.) Polygons that do
not have all sides
equal and/or all
angles equal

Answers

Answer:

....................trapezium

Answer:

trapezoid or trapezium

Step-by-step explanation:

Katie has an antique glass cabinet in the shape of a triangular prism. The base is an equilateral triangle that has a side length of 2 feet and a height of 1.7 feet. The height of the entire cabinet is 4.5 feet. How many cubic feet of space are inside the cabinet? 7.65 ft3 15.3 ft3 27 ft3 30.4 ft3

Answers

Answer: 7.65 ft3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a triangular prism = base area x height

Since:

Area of a triangle (base) = side length x height  

Replacing with the values given:

A= (2 x 1.7 )/2 = 1.7 ft2

Back with the volume formula:

V = base area x height

Replacing with the values given:

V=1.7 x 4.5 =7.65 ft3

Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns per hour is two dollars less than 7/5the amount Hamish and per hour. How much does each of them earn per hour?

Answers

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

What is the slope of the line that contains the points (9,-4) and (1, -5)
А 1/8
B. -1/8
C.-1
D. 1

Answers

Answer:

A. 1/8

Step-by-step explanation:

m = rise/run

m = (y2-y1)/(x2-x1)

m = (-5- - 4)/(1-9)

m = (-5+4)/(-8)

m = (-1)/(-8)

m = 1/8

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula to find gradient, m, is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Then, you have to substitute the coordinates into the formula :

[tex]let \: (9, - 4) \: be \: (x1,y1) \\ let \: (1, - 5) \: be \: (x2,y2)[/tex]

[tex]m = \frac{ - 5 - ( - 4)}{1 - 9} [/tex]

[tex]m = \frac{ - 5 + 4}{ - 8} [/tex]

[tex]m = \frac{ - 1}{ - 8} [/tex]

[tex]m = \frac{1}{8} [/tex]

PLEASE I NEED AWANSER NOW The Stem-and-Leaf Plot and the Box-and-Whisker Plot here display the number of shoes sold daily in a 12-day sale held in a shoe-store at the local supermarket. What is the range of this data set? A.(20 B.(29 C.(24 D.(26

Answers

Answer:

c

Step-by-step explanation:

Answer:

(d) makes sense to me!!

Step-by-step explanation:

1.
Identify the translation of the parent function for y = [xl - 6.
6 units left
6 units up
6 unit right
6 units down

Answers

Answer:

6 units down

Step-by-step explanation:

Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.

If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0

Given that the parent function is an absolute value represented by:

y = |x|

Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down

The fair comes to town, and Alex and his father go to the archery range. His father agreed to let him have ten arrows. For each arrow that hit the target, Alex got two more arrows. At the end, Alex had used a total of 40 arrows. How many arrows hit a target in all?

Answers

Answer:

15...?

Step-by-step explanation: Sorry if I got this incorrect...

Alex 15 arrows hit a target in all.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Alex's first 10 all hit the target and earned him 20 more.

Now he has 20 and has used 10.

His next 5 hit the target and earned him 10 more.

He now has 25 (20–5+10) and has used 15.

All of the remaining 25 miss the target.

Alex had used a total of 40 arrows (25+15) and has hit the target 15 times.

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What is the 7th term in the sequence of square numbers?

Answers

Answer:

49

Step-by-step explanation:

The n th term of square numbers is calculated using

[tex]a_{n}[/tex] = n²

Thus for the 7 th term, let n = 7 , that is

a₇ = 7² = 49

ABCD is a parallelogram. Find the measure of angle , (Give reason)

Answers

Answer:

D=100(opposites angles are equal)

A=C=80 (adj angles are supplementry)

Step-by-step explanation:

Answer:

x = 80

y = 100

z = 80

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.  Thus, angle y = 100 degrees.  In a parallelogram adjacent angles are supplementary so angle x and z are 80 degrees.

Hope it helps <3

which of the following represents a term from 3x^2+8x-10

Answers

Answer:

3x^2 or 8x

Step-by-step explanation:

last one , somebody help me please .

Answers

Answer:

4x -2 = -2x +6

Step-by-step explanation:

The red is negative

4x -2 = -2x +6

Answer:

B

Step-by-step explanation:

Task: E = mc2
E = mc2 is one of the most recognizable equations in the world. Published by Albert Einstein in 1905, the
equation describes a fundamental relationship between energy, E, and matter (or mass), m. But what exactly
is the relationship? What does it mean? In this task, you will parse, or analyze the parts.of the equation in
order to understand it better. Let's start with what the variables represent: E stands for energy, m stands for
mass, and c stands for the speed of light. Use these definitions to complete the exercises below.
4. [10 points] Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of
roots (radicals).

Answers

Answer:

[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]

Step-by-step explanation:

[tex]E = mc^2[/tex]

[tex]$c^2=\frac{E}{m} $[/tex]

[tex]$c=\sqrt{\frac{E}{m} } $[/tex]

or

[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]

The equation will be , C= (E/3)^1/2

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.

Algebraic Expressions

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

E = mc^2

c² = E/m

c= √ (E/m)

or,

C=  (E/m) ^1/2

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Express as a product: 1+2cosα

Answers

Answer:

Step-by-step explanation:

1+2 cos α

[tex]=1+2(2 cos^{2} \frac{\alpha }{2} -1)\\=1+4 ~cos^2\frac{\alpha }{2} -2\\=4 ~cos^2\frac{\alpha }{2} -1\\=(2cos \frac{\alpha }{2} +1)(2 cos \frac{\alpha }{2} -1)[/tex]

50 points Please help Use the following random list of 100 numbers and the assignations 0-4 to represent girls and 5-9 to represent boys to answer the question below. 3199 9288 1023 1130 0809 1770 6231 7538 8927 4761 7258 7111 0209 0916 1450 9848 4654 7579 6150 3093 9608 0061 4014 9501 0382 3052 2385 9074 1664 6551 6577 1811 3454 5870 1277 5056 1063 5697 9141 4120 9181 1343 0168 3693 0463 4842 1704 3774 4908 4161 6404 9675 2518 3988 4268 6083 0636 9634 5295 5656 1918 3133 6831 8393 6363 2452 1531 1638 1317 2279 9395 0702 2091 5269 0422 0275 3373 1424 1958 0356 5163 0743 6658 6257 2772 0570 4522 2665 0890 3560 5549 2238 2172 9715 9741 4975 6617 9034 4441 8220 Based on the results of the simulation, what is the experimental probability that a group will include only boys? Based on the results of the simulation, what is the experimental probability that a group will not contain four boys? Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain all girls? Round your answer to the nearest number of groups.

Answers

Answer:

For the first question, there is a 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

100: 224 = 61:x → 61/100 = x/224

100x = 13664

x = 136.64 → 136 groups (You can't round up if you don't have enough people)

Hope this helped!

Answer: 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

:) The other answer is correct too! But just for clarification! :)

Suppose a cube is given. How many different triangles can be formed by connecting 3 of the vertices of the cube?

Answers

I think the answer might be 10

What is the distance to the earth’s horizon from point P? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = mi

Answers

Answer:

[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth

D^2 = 1.4 x 7918

D^2 = 11,085.2

D = Sqrt(11,085.2)

D = ~ 105.28628......miles - Distance to Horizon.

Step-by-step explanation:

Answer:

284.4 I took the test ;)

The sum of three consecutive integers is greater than 66. What is the smallest possible product of the largest and smallest of these integers?

Please help me on this

Answers

Answer:

528

Step-by-step explanation:

So naturally at first sight for this question we would think -->

Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.

We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528

And thus, we have out answer of 528

Hope this helps!

Lines m and n are parallel. Lines m and n are parallel. Lines s and t intersect lines m and n to form a triangle. The top angle of the triangle is (2 x) degrees. At the intersection of lines s and n, the top left angle is 100 degrees. At the intersection of lines n and 7, the bottom left angle is 70 degrees. What is the value of x? 10 15 30 35

Answers

Answer:

B: 15

Step-by-step explanation:

I got it right on Edge

The value of 'x' in the top angle is 5 degrees.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.

We know the sum of all the interior angles in a triangle is 180°.

Therefor, 2x + 100° + 70° = 180°.

2x = 10°.

x = 5°.

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14. An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there?
A. 45
B. 90
C. 15
D. 20

Answers

Answer:

your answer would be 45 I hope this was helpful

Step-by-step explanation:

Answer:

The answer is A, 45.

Step-by-step explanation:

what is the formula for tan theta

Answers

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

Step-by-step explanation:

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

250 people went to a "couples only" party at 9pm.70 people left at 11pm, how many couples stayed at the party?

Answers

Answer:

90

Step-by-step explanation:

Total People = 250

Left the party at 11 pm = 70

Stayed = 250-70

=> 180

Couples that stayed = 180/2

=> 90

Answer:

90 Couples

Step-by-step explanation:

There were 250 total people at the beginning at the party. 70 people left at 11pm.

Subtract 70 from 250:

[tex]250-70=180[/tex]

There were 180 people that stayed.

A couple consists of two people. The question asks how many couples stayed at the party, not people.

Divide 180 by 2:

[tex]\frac{180}{2}= 90[/tex]

There would be 90 couples that stayed at the party.

An audiologist is testing a patient to determine the softest sound of a specific frequency that the patient reports hearing. She begins with a 10 decibel (dB) sound for trial 1, then increases the volume by 2 dB for each trial after that. If the patient can hear all sounds of that frequency that have a volume louder than 26 dB, and t represents the trial numbers that the patient can hear, which of the following inequalities best models the situation described above?

Answers

Answer:

26 <t+2

Step-by-step explanation:

The volume has to be louder than 26 so the inequaltiy sign should be an x is greater than sign and the intervals increase by 2 so you can add 2 to each x.

Hope this helps!

Given: QR I PT and ZQPR = ZSTR
Angles Segments Triangles Statements Reasons
Prove: APQR - ATSR
ZQPR
ZQRP
ZSRT
ZSTR
Q
Statements
Reasons
S
R
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Intro

Answers

To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

What is the AA Similarity Theorem?According to AA Similarity Theorem, if two triangles have two pairs of congruent angles, then both triangles are similar to each other.

Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

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Answer:

Step-by-step explanation:

⚠ PLEASE HELP ⚠ Calculate the product. (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) will award BRAINLIEST.

Answers

Answer:

5/8

Step-by-step explanation:

The value of the expression is 8/15

What is expression?

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225)

The expression is in the form of (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²)

We know, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²) = (n+1)/2n

Here, n = 15.

So, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) = (15+1)/(2.15) = 16/30

= 8/15

Hence, The value of the expression is 8/15

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WILL GIVE BRAINIEST TO THE FIRST ANSWER

Answers

Answer:x − 3 y = − 36

Step-by-step explanation:

Answer: The initial form is called slope intercept form// and the equation in standard form is 3y=37

Step-by-step explanation:

standard form = ax+by=c so you basically just have to take that and put it into the formula

Hope this helps

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