Answer:
-7 < k < 7
Step-by-step explanation:
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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2 (x - 5) = 7 + 2x
What is the answer ?? I need help !?
Answer:
0=17
Step-by-step explanation:
2X - 10=7 +2x
-10 = 7
7 is fasle
i believe the answer is 17
4j+2=h solve for j please help
Answer:
j = [tex]\frac{h-2}{4}[/tex]
Step-by-step explanation:
Given
4j + 2 = h ( subtract 2 from both sides )
4j = h - 2 ( isolate j by dividing both sides by 4 )
j = [tex]\frac{h-2}{4}[/tex]
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
Population density is the number of people per unit of area. The population density of a certain region
is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region
Answer: 1380
Step-by-step explanation:
We have been given that population density is the number of people per unit of area.
Therefore, the population of the region would be 1380 people.
Angelina put 3,000 milliliters of water in a tub that already has 5 liters of water in it. Jack says the
tub now has 35 liters of water in it. Angelina says he is wrong.
Carry out your steps. Explain who is correct and why.
Answer:
Jack is wrong because 3,000 milliliters is equal to 3 liters. If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.
Evaluate the expression. [(3–5)(34)]3
Answer:
-204
Step-by-step explanation:
(3−5)(34)(3)
=−204
which fraction is less 2/10 or 5/8 or neither they are equal
2/10 is less, because with a common denominator they are 8/40 and 25/40. Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.
Answer:
2/10 is less than 5/8
Step-by-step explanation:
2/10 =0.20
5/8= 0.625
0.20<0.625
1/2 (8x-2) + (-2x + 1/4)
What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.
-1/4 multiplied by 1 1/2
Answer:
[tex]-0.375[/tex]
For more help, take a look at this chart.
Solve the quadratic equation below by completing the square. What are the solutions?
x^2 - 16x + 50 = 21
A. X= -8+sqrt 7
B. X= 8 + sqrt 7
C. X= 8 +sqrt 35
D. X= -8+sqrt 35
By completing squares we will see that the solutions are:
[tex]x =\pm \sqrt{35} + 8[/tex]
How to complete squares?
Here we have the quadratic equation:
[tex]x^2 - 16x + 50 = 21[/tex]
We can rewrite it as:
[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]
Then we must have a 8² term to complete squares, then we need to add and subtract 35.
[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]
Now we can solve this:
[tex]x =\pm \sqrt{35} + 8[/tex]
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Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney's steps and Tom's steps in also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney's steps or for Tom's steps? Explain.
Answer:
8
Step-by-step explanation:
Using the information provided we can say that the largest number of steps for either Sydney or Tom would be 8999 making the digit in the thousands place an 8. This is because both Sydney and Tom counted 4 digits meaning the lowest number for either of them is 1000 steps. Since the question also states that the combination/total of both their steps is still a 4 digit number, this means that the total must not exceed 9,999 steps. Therefore if the minimum is 1000 the maximum can only be 8,999 before going into the 5 digit number of steps.
A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated. What is the approximate probability that the first digit will be 6? 0.00595 0.03571 0.11111 0.66667
Answer: C
Step-by-step explanation:it’s the 3rd ans on edge
The question is an illustration of probability, and the approximate probability that the first digit will be 6 is (c) 0.11111
How to determine the probability?The number of digits in the pin = 3
Given that each digit cannot be repeated, the total number of pin is:
Pin = 9 * 8 * 7
Evaluate
Pin = 504
If the first digit is 6, the number of pins is:
First digit6 = 1 * 8 * 7
First digit6 = 56
So, the probability that the first digit is 6 is:
P = 56/504
Evaluate
P = 0.1111
Hence, the approximate probability that the first digit will be 6 is (c) 0.11111
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700 decreased by 62% is?
Answer:
The answer I got was 266
Step-by-step explanation:
700 - 62% = 266
62% = 434
700 - 434 (62%) = 266
Audrey and Addy also went hiking up Mount Olympus. Audrey's distance in June was 2.95 miles and for July 2 5/8 miles. Addy went 2.85 miles in June and 3 3/8 miles in July. How much farther did Addy hike than Audrey in both June and July? *Answer will be in decimal form
Answer:
Addy hiked 0.65 miles more than Audrey.
Step-by-step explanation:
In June we have the following distance traveled by Audrey (Au) and Addy (Ad):
[tex] Au_{Jun} = 2.95 miles [/tex]
[tex] Ad_{Jun} = 2.85 miles [/tex]
And, in July we have:
[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]
[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]
Hence in June and July, they traveled:
[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]
[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]
Now, we can find how much farther did Addy hike than Audrey in both June and July:
[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]
Therefore, Addy hiked 0.65 miles more than Audrey.
I hope it helps you!
50 POINTS ASAP PLZ HELP NOW IM IN TEST
One factor of the polynomial 6x^3-x^2+8x+5 is (2x+1) What is the other factor of the polynomial? (Note: use long division)
If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.
Please explain your answer.
Answer:
.
Step-by-step explanation:
5(x – 10) = 30 – 15x
Solve
Answer:
x=4
Step-by-step explanation:
5(x-10) = 30- 15x
5x - 50= 30 - 15x
+15x +15x
20x - 50 = 30
+50 +50
20x = 80
/20 /20
x = 4
Hope this helps!
29 2/3 divide 7 1/2
what’s the answer
Answer:2 5/42 or 89/42
Step-by-step explanation:
Order the numbers from least to greatest.
6.8
[tex] \sqrt{13} [/tex]
[tex] \frac{26}{3} [/tex]
[tex] \sqrt{ \frac{54}{3} } [/tex]
12) 12 ft. = ? yd. (1yd. = 3 ft)
13) 2 gal. = ? qt. (4qt.= 1 gal.)
14) 2 gal. = ? oz. (1qt. = 32 oz.)
Help!!
I WILL GIVE BRAINLIST IF YOU ANSWER ALLLLLLLLL
Activity
A pom pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom pom has a total of 80 strands, how many strands of each color are needed to make a pair of pom-poms?
Part C How many strands of each color are required to make a pair of pom-poms? Use the values you found in part B for w, b, and r. Show your work
Part D You can solve the problem in Part C using a different method. To set up this method, first find the total number of strands required to make pair of pom-poms.
Part F Did you get the same answer in part C and E?
Answer: 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms
Step-by-step explanation:
Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).
To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?
Solution:
Total Strands = 80
White Strands = 35%
No. of white strands =
Blue Strands = 25%
No. of blue strands =
Red Strands = 40%
No. of Red strands =
6 7/16 - (-4.75)=
need help
Answer:
143 / 16
Step-by-step explanation:
Simplified: 8.9375
Answer:
11.1875, [tex]\frac{179}{16}[/tex], or 11 [tex]\frac{3}{16}[/tex]
Step-by-step explanation:
6 [tex]\frac{7}{16}[/tex] - (-4.75) =
Decimal form - 11.1875
Exact form - [tex]\frac{179}{16}[/tex]
Mixed Number form - 11 [tex]\frac{3}{16}[/tex]
hope this helps :)
Simplify (3x-7)^2
Step by step
Answer:
9x² - 42x + 49
Step-by-step explanation:
Given
(3x - 7)² = (3x - 7)(3x - 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(3x - 7) - 7(3x - 7) ← distribute both parenthesis
9x² - 21x - 21x + 49 ← collect like terms
= 9x² - 42x + 49
Write the sentence as an equation.
m divided by 341 equals 315
Answer:
m/341=315
Step-by-step explanation:
Answer:
m/341=315 because the divided symbol is / and the equals symbol is = so replace the words with the symbol.
simplify show your work
What is 12% of 504 please let me know
Answer:
504 * 0.12 = 60.48
Step-by-step explanation:
math
Answer:
its 60.48
Step-by-step explanation:
Convert 12% to a decimal which is 0.12
then do the sum 0.12x504
Which expression represents “7 more than x” 7+x x-7
x÷7 7x
Answer:
7+x
Step-by-step explanation:
this could also be written as “x + 7” and it means 7 more than (+) x
Answer:
It is 7+x (✿◠‿◠)
Given the point (1, 2) and a slope of 4, write the equation in point slope form.
Answer:
y - 2 = 4(x - 1)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where m is the slope:
Plug in the slope and the given point:
y - y1 = m(x - x1)
y - 2 = 4(x - 1)
So, the equation in point slope form is y - 2 = 4(x - 1)