a number k is less than 3 units from 10

Answers

Answer 1

Answer:

-7 < k < 7

Step-by-step explanation:

Answer 2

The absolute value of the variable k will be less than 7.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result. The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A number k is less than 3 units from 10. Then the equation is given as

k + 3 < 10

Simplify the equation, then the value of the variable k will be

k + 3 < 10

k < 10 - 3

k < 7

The absolute value of the variable k will be less than 7.

Your question was incomplete, your question was probably be...

A number k is less than 3 units from 10.

What's the absolute value inequality?

More about the solution of the equation link is given below.

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Related Questions

Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?

Answers

Answer:

5 weeks

Step-by-step explanation:

She would need to work at least 8 weeks because the bicycle is $80 and she has $35.

Answer:

5 weeks

Step-by-step explanation:

i took 80 - 35 to get 45 (money she still needs)

then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)

and if you get 10 dollars per week and its asking how many weeks

you have to up the 4 by one because it has a .5

so it would be 5 weeks

Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?

Answers

Answer:

40

Step-by-step explanation:

Question Progress
Homework Progr
16
0
Work out
5-2x 38
Give your answer as a decimal.

Answers

5 - 2 times 38 is -71.
Have a nice day

State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24

Answers

Answer:

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]

sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)

step 2

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]

c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle

Answer:

The answer is 2 triangles

Step-by-step explanation:

I took the test.

The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.

Answers

Neptune is about four times wider than Earth.

Answer and I will give you brainliest.

A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *

A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s

Answers

Answer:

D: 0.4 m/s

Step-by-step explanation:

32.5 in 13 sec

32.5/32.5=1

so

13/32.5 would be the answer

1 meter in 0.4

Answer:

C

Divide 32.5 with 13, because m/s means meters divide by seconds

im not sure tho

in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir

Answers

Answer:

There are 33 girls in choir

Step-by-step explanation:

4 x 11 = 44 (we get four from the 1 boy for every 4 girls)

assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.

If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

In the school, there is 1 boy for every 4 girls.

If there is a total of 11 boys. Then the number of girls in the choir will be given as,

⇒ 11 x 4

⇒ 44 girls

If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.

More about the Algebra link is given below.

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how do i graph 2x+4y=12

Answers

Answer:

(0,3) (6,0)

Step-by-step explanation:

expand and simplify 3(3x-4)-2(2x-1)

Answers

Answer:

5x-10

Step-by-step explanation:

distribute 3 & 2 thought the parenthesis

What is the equation of the line that passes through the points (-4, 2) and (12,6)?

Answers

Answer:

y=0.25x+3

Step-by-step explanation:

Find the slope of the table

Answers

Answer:

The slope should be -5/8

Step-by-step explanation:

The equation used to find the slope using a table is:

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

To get the values, take two points from the table. For example:

(8, -5) and (16, -10)

Write and classify them as (x1, y1) and (x2, y2). Knowing that these values equal the numbers, put the numbers in the equation above, and you should find the slope.

Which one?
A. B. C. or D? ​

Answers

I’m confused on this one aswell

the meal cost 54.65 the sales tax is 8% of the meal the tip was 18% of the meal and tax there are 5 people in the holcombe family what was the cost per person for the meal

Answers

Answer:

Step-by-step explanation:

total meal cost = meal cost + tax cost + tip cost

[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]

The answer is 10.93

Step by step explanation

Solve for x and y, will mark brainliest please help!

Answers

Answer: x=37, y=9

Step-by-step explanation:

3x+11+x+21=180

4x+32=180

4x=148

x=37

3(37)+11=14y-4

111+11=14y-4

122=14y-4

14y=126

y=9

a rectangular sheet of paper is 5 2/3cm long and 3 1/5cm wide. find its perimeter

Answers

Answer:

85/15+48/15=133/15 ×2=266/15 cm

=17 11/15 cm

Step-by-step explanation:

What is an equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 ?

Answers

4x+2y+10 = 0 can be rewritten as 2y = -4x-10 and dividing by 2 yields the slope/intercept form of y = mx+b

y = -2x-5

where -2 is the slope (m) and -5 the y-intercept (b)

the line we seek has that same slope, will pass through (7,3), but will have a different y-intercept. Plugging in 7 and 3 for x and y gives us

3 = -2(7)+b => 3 = -14+b => 17 = b making our new line’s equation:

y = -2x+17

An equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 is y = -2x+17.

How to get the slope intercept form of a straight line equation?

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

We know that 4x+2y+10 = 0 can be rewritten as 2y = -4x-10

Thus, dividing by 2 yields the slope/intercept form of y = mx+b

y = -2x-5

where, -2 is the slope (m) and -5 the y-intercept (b)

Now the line we has that same slope, will pass through (7,3), but will have a different y-intercept.

Then Plugging in 7 and 3 for x and y gives us;

3 = -2(7)+b

3 = -14+b

17 = b

Therefore, our new line’s equation:

y = -2x+17

Learn more about straight line equation here:

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Monica is rollerblading along a trail in Tropical Park. She stopped for water after rollerblading for 2.45 miles. She continued on the trail for another 3.04 miles, then stopped for lunch. She made her final stop after rollerblading for another 2.8 miles. How many miles did Monica rollerblade?

Answers

Answer:

8.29

Step-by-step explanation:

If you add them all together your answer should be 8.29

Answer:

8.29

Step-by-step explanation:

hope it helps! :))

How is online school going so far?

Answers

Good for me :):):):):):):):)

y= 2x² + 36x + 170
(Find the vertex, show steps)

Answers

This is the answer. Hope it helps!
y=2(x²+18x+85)
Find the vertex of x²+18x+85

This is written of the form ax²+bx+c

a=1, b=18, c=85

The axis of symmetry is -b/2a
The axis of symmetry is the x term of your vertex (h,k)

So we have

h=-(18)/2

h=-9

k=f(-9) given that f(x) is x²+18x+85

(-9)²+18(-9)+85

81-162+85

-81+85

4

So your k value is 4

So because you’re vertex is (h,k) and since we found that h=-9 and k=4, your vertex is (-9,4)

Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?

Answers

Answer:

18.3

Step-by-step explanation:

384.3 divided by 21

pls help ASAP i got only 5 minuts left

Answers

d if i’m not mistaken

Quien quiere ser mi amigo o amiga? Manden soli si quieren XD

Answers

si me gustaria ser tu amiga :)

The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.

Which equation represents g(x)?

Answers

Answer:

B

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]

The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.

The rule of translation is:

[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]

So, we have:

[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]

Take LCM

[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]

Next, translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y)=(x,y+4)[/tex]

So, we have:

[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]

[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

Find out more information about function and translation here

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Does this represent a function?

Answers

Answer:

No.

Step-by-step explanation:

A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.

However, this graph is a conic, specifically a hyperbola.

1. ROTATE THE TRIANGLE A(3, 2) B(5,2)C(4,4) 90 DEGREES ABOUT POINT (-4, 2)
(20 Points)
A(-4, 9) B(2, 3) C(5,7)
A(3, 1) B(3, 3) C(7.9)
A(-4, 9) B(-4, 11) C(-6, 10)

Answers

Answer:

A (-4,9) B (-4,11) C (-6,10)

Last option is correct

Step-by-step explanation:

To rotate the vertices about the given point at 90 degrees, we follow the procedures below;

Mathematically, if we have a point (m,n) and we want to rotate it 90 degrees about a given point (x,y). Then the new transformation point will be;

( -(n-y) + x , (m-x) + y)

Let’s now take the points individually;

(3,2 ) about (-4,2)

This becomes

(-(2-2) + (-4), (3+4) + 2) = (-4 , 9)

The point (5,2) about (-4,2) becomes

(-(2-2) + -4, (5 + 4) + 2 )= (-4, 11)

and lastly

The point (4,4) about (-4,2) becomes

(-(4-2) + (-4), (4 + 4) + 2) = (-6, 10)

Find the mistake made in the steps to solve the equation below

Answers

Answer:

C. Step 3 is incorrect and should be x=10/8

Answer:

c. step 3 is incorrect and should be x=10/8

Convert to meters: 22 km

Answers

Answer:

22000 meters

Step-by-step explanation:

Step-by-step explanation:

1km = 1000m

22km×1000

22000

Last week, Shelly tode her bike a total of 30 miles over a three-day period.
On the second day, she rode the distance she rode on the first day.
On the third day, she rode the distance she rode on the second day.
rts
How many miles did Shelly ride on each day? Select your answers from the drop-down lists.
On the first day, Shelly rode
miles.
On the second day, Shelly rode
miles.
ols
On the third day, Shelly rode
miles.m

Answers

Answer:

Step-by-step explanation:

ON THE FIRST DAY, SHELLY RODE 12 MILES

A store manager instruct his employees to mark up all items by 30%.

What was the clerks likely error?

Answers

Answer: i have this work book and i guess it would be the clerk didnt put the amonut up enough

Step-by-step explanation:

What's the value of
z? - 3x + 1
when x = -2 and y = 42

Answers

Answer: 11

Step-by-step explanation:

Based on te question in the picture (which is different from what you wrote)

x^2 - 3x  +  1

-2^2 - 3(-2) + 1

4 + 6 + 1 = 11

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