Answer:
Step-by-step explanation:
Find the prime factorization of 10
10 = 2 × 5
Find the prime factorization of 24
24 = 2 × 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 2 × 2 × 3 × 5
LCM = 120
What is the equation of a line that contains the points (2, -2) and (0, -2)?
a.) y = 0
b.) x = -2
c.) y = -2
d.) x = 0
Answer:
C
Step-by-step explanation:
Both points y is -2 so the answer is
the line y = -2.
Answer: the correct option is
(c) y = -2.
Step-by-step explanation: We are given to find the equation of a line that contains the points (2, -2) and (0, -2).
We know that
the slope of a line containing the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
So, the slope of the given line is
[tex]m=\dfrac{-2-(-2)}{0-2}=\dfrac{0}{-2}=0.[/tex]
Since the line has a point (2, -2) on it, so its equation will be
[tex]y-(-2)=m(x-2)\\\\\Rightarrow y+2=0(x-2)\\\\\Rightarrow y+2=0\\\\\Rightarrow y=-2.[/tex]
Thus, the required equation of the line is [tex]y=-2.[/tex]
Option (c) is CORRECT.
Solve for x in the literal equation −18 = xy + z
−18 = xy + z
move +z to the other side
sign changes from +z to -z
-18-z= xy+z-z
-18-z= xy
divide both sides by y to get x by itself
-18/y-z/y= xy/y
Answer:
x= -18/y-z/y or x=-z/y-18/y
The number of boys in the tennis club is 10mire than half the number of girls. There are 30 boys in the tennis club. All together, how many boys and girls are in the club.
Answer:
36
Step-by-step explanation:
Let the number of girls in club be [tex]x[/tex]
Number of boys = 30
Number of boys is 10 times half the number of girls
i.e. [tex]30 = 10(\frac{x}{2} ) = \frac{10x}{2} \\60 = 10x\\x = \frac{60}{10} \\x = 6[/tex]
Total number of boys and girls in club = 30 + 6 = 36
Will.mark brainliest, PLEASE HELP!
Answer:
all work is pictured/shown
What is 8+w/4 when w =16
Answer:
12
Step-by-step explanation:
8 + w/4
w = 16
8 + 16/4
16/4 = 4
8 + 4
8 + 4 = 12
12
passes through (4, 2) and (4,-5) in standard form
Answer:
x+4=0
Step-by-step explanation:
Why are there three zeros in the product of 6X 10'3
The three zeros in the product of 6 and 10^3 arise from the properties of multiplication and exponents; 10^3 results in 1000, which when multiplied by 6, gives 6000, featuring three zeros.
Explanation:The reason there are three zeros in the product of 6 and 10^3 is due to the properties of multiplication and exponents. In exponentiation, 10^3 means multiplying 10 by itself three times, which gives the result of 1000. When you multiply 6 by 1000 (the result of 10^3), it gives 6000, which has three zeros. The number of zeros in the product corresponds to the power of 10 in the original expression.
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5.876 to the nearest 0.1
Answer: 5.9
Step-by-step explanation: You want to round up so since the 7 is greater than 5 you move the second digit up. So 5.9
~ Hope this somewhat helps. You welcome. (:
What is 56 divided by (-7)
Answer:-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
56/-7
0.09×______=0.9 what is the answer please help
!LOOK AT THE PICTURE!
Simplify 15.6 divided by negative 3
Answer:
c -5.2 tell me if you need the explanation
Step-by-step explanation:
Solve for :
-9= q - 4.8
Answer:
q=13.8
Step-by-step explanation:
dude you should mark me as brainliest answer
Solve for w.
-9|w| = -18
Write your answers as integers or as proper or improper fractions in simplest form.
w = or w =
Answer:
w = 2 or w = -2
Step-by-step explanation:
-9|w| = -18
divide by -9 on both sides
w = 2 negative 2 works also
PLS HELP ASAP trying to finish quick check!
Answer:
1/(x + 1)
Step-by-step explanation:
1/(x² + 3)
x = √(x - 2)
1/((√(x - 2))² + 3
1/(x - 2 + 3)
1/(x + 1)
If f(x) = 5x – 2 and g(x) = 2x + 1, find (f- g)(x).
A. 3x - 3
B. 7x-3
C. 7x-1
D. 3 - 3x
Answer:
la respuesta es A. 3x - 3
Final answer:
To find (f - g)(x), subtract the function g(x) from f(x). (f - g)(x) = 3x - 3.
Explanation:
To find (f - g)(x), we need to subtract the function g(x) from f(x).
f(x) = 5x - 2
g(x) = 2x + 1
Subtracting g(x) from f(x) gives us:
(f - g)(x) = (5x - 2) - (2x + 1)
Expanding the expression:
(f - g)(x) = 5x - 2 - 2x - 1
Combining like terms:
(f - g)(x) = 3x - 3
Explain how to find the square root of 100. Explain why you use the underlined + sign.
Answer:
±10
Step-by-step explanation:
so what squared is 100?
10. but also -10.
10*10 = 100, and -10*-10 is also 100.
therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.
Answer:
10
Step-by-step explanation:
Factor the number: 100 = [tex]10^{2}[/tex]
=[tex]\sqrt{10^2}[/tex]
Apply radical rule: [tex]\sqrt[n]{a^n} =a[/tex]
[tex]\sqrt{10^2} =10[/tex]
=10
help me find the perimeter of this triangle pls:)
one thing to be noteworthy is that this triangle has two angles, a 60° one and a 90° one, meaning the last angle will be a 30° one, thus we can use the 30-60-90 rule.
Check the picture below.
9.
6. Which of the following decimals is between -3
and -4?
Answer:
You did not provide options but it would be any one of them that starts with -3 and then has a decimal.
B is the midpoint of AC. Given AB = 3x + 8 and BC=5x - 2; find the value of x
Answer:
x = 5
Step-by-step explanation:
Given that B is at the midpoint of AC, then
AB = BC ← substitute values
3x + 8 = 5x - 2 ( subtract 5x from both sides )
- 2x + 8 = - 2 ( subtract 8 from both sides )
- 2x = - 10 ( divide both sides by - 2 )
x = 5
[tex]6 = \frac{a}{4} + 2[/tex]
take a peek at the fractions in the expression, hmmmm let's see the LCD of all fractions will just be 4, in this case there's one fraction only anyway, so let's multiply both sides by that LCD of 4 to do away with the denominators
[tex]\bf 6=\cfrac{a}{4}+2\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4(6)=4\left( \cfrac{a}{4}+2 \right)}\implies 24=a+8\implies 16=a[/tex]
What is 35 divided by 5/6????
This is super urgent answer ASAP PLEASE I NEED THIS ANSWER IMMEDIATELY!!!! ANSWER THIS IMMEDIATELY!!!!!!!!!!!!
Answer:
42
Step-by-step explanation:
What is the range of the function y = 5 - 2x when the domain is {0, 1, 2, 3}?
Answer: {5, 3, 1, -1}
Step-by-step explanation:
So, domain is the x-values and range is the y-values. You're trying to find the y-values. The problem gives you the domain: {0, 1, 2, 3}. So now you plug in the x values into the equation to get the y-values.
1. y = 5 - 2(0)
y = 5
2. y = 5 - 2(1)
y = 3
3. y = 5 - 2(2)
y = 1
4. y = 5 - 2(3)
y = -1
So, now you have the y-values, or range.
{5, 3, 1, -1}
I hope this helps you!
Use long division to determine the decimal equivalent of 7 over 9. 0 point 6 bar 0 point 7 bar 0 point 8 bar 0 point 9 bar
The answer is 0.7 bar.
See the attached picture:
hope it helps!
Write this ratio as a fraction in the simplest form 2 pounds to 28 ounces
2lbs/28oz
Divide each side by 2
1lbs/14oz
The simplest form of the ratio is: 8/7. To express the ratio of 2 pounds to 28 ounces as a fraction in simplest form, we need to convert both quantities to the same unit of measurement.
Since there are 16 ounces in 1 pound, we can convert 2 pounds to ounces:
2 pounds * 16 ounces/pound = 32 ounces
Now, the ratio becomes:
32 ounces to 28 ounces
To write this ratio as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD), which is 4 in this case:
32 ounces ÷ 4 = 8
28 ounces ÷ 4 = 7
So, the simplest form of the ratio is:
8/7
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How to use mental math in 56,211 -6,189 ?
In mental math, we simplify computations. For the given problem, we round 6,189 to 6,000, subtract it from 56,211 to get 50,211 and add back the amount we rounded down (189) to get the answer 50,400.
Explanation:Using mental math means finding a solution with simplified steps or approximate computation, instead of the traditional written or calculator methods.
In this problem; 56,211 - 6,189, you can use rounding to make this easier.
1. Round 6,189 to the nearest thousand, which is 6,000.
2. Subtract this from 56,211 to get 50,211.
3. However, we rounded down by 189 at the beginning. To correct this, just add 189 back to the answer, resulting in 50,400.
This method simplifies the process and lessens your risk of making errors when handling larger numbers.
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For 56,211 - 6,189, rounding gives 50,000, and adding the small differences back in results in a final answer of 50,022.
To use mental math for the subtraction 56,211 - 6,189, consider the following steps:
First, round each number to the nearest thousand to simplify: 56,211 rounds to 56,000 and 6,189 rounds to 6,000.
Subtract the rounded numbers: 56,000 - 6,000 = 50,000.
Note that the actual numbers are slightly higher than their rounded values, making the difference slightly more than 50,000.
Adjust the result by calculating the exact difference between the small parts ignored during rounding. For example, the difference between 56,211 and 56,000 is 211, and
the difference between 6,189 and 6,000 is 189.
Add the small differences back into the result: 211 - 189 = 22.
Combine the simple difference with the adjustment: 50,000 + 22 = 50,022.
Therefore the final answer is 50,022
how is 1.479 a rational number
Step-by-step explanation:
because it has decimal number.
Factor.
9x^4−64y^2
HELPPPP PLEASE
The factor of the expression 9x⁴ - 64y² will be;
⇒ (3x² - 8y) (3x² + 8y)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 9x⁴ - 64y²
Now, Factor of the expression is solve as,
⇒ 9x⁴ - 64y²
⇒ (3x²)² - (8y)²
Since, (a² - b²) = (a - b) (a + b)
So, Apply the above formula in the expression as;
⇒ 9x⁴ - 64y²
⇒ (3x²)² - (8y)²
⇒ (3x² - 8y) (3x² + 8y)
Thus, The factor of the expression 9x⁴ - 64y² will be;
⇒ (3x² - 8y) (3x² + 8y)
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Through: (-5,3) , perp. To y=5x+2
Answer:
Slope of the given line=-5
Slope of the perpendicular line=1/5 [reciprocal with opposite sign]
Required equation is (y+4)=1/5(x+5)
5y+20=x+5
x-5y=15
Without using slope
Equation of the given line is 5x+y=3
Equation of the perpendicular line is x-5y=k [interchange the coefficient of x and y
and put opposite sign for y and equating the equation to k]
This line passes through (-5,-4)
-5+20=k therefore k=15
The required equation is x-5y=15
The area of a rectangle is 48 cm² and the length of the rectangle is 8 cm longer than the width.
The area of a rectangle is found by multiplying the length times the width.
During the Set Up step of the five-step problem-solving plan, which equation would you set up to solve for the width?
w(w+8)=48
w + 8 = 48
8w = 48
w + 8w = 48
Answer: A
Step-by-step explanation: You know multiplying will be involved, so B can automatically be removed. It states that the length is 8 cm longer. You know absolutely nothing about the width, so the variable of w can be given for the width. You also know the length will be 8 cm longer, of w+8. w and w+8 will be multiplied, which gives you w(w+8).
Answer:
w(w+8)=48
Step-by-step explanation:
Estimate by first rounding to the nearest whole number. 62.25 − 18.92
A : 43
B : 44
C : 40
D : 42
Answer:
The answer would be 43 because 62.25-18.92=43.34 therefore it would be rounded down the nearest whole number
Answer:
A
Step-by-step explanation:
First round both numbers to the nearest whole number which would be 62-19. Now calculate. The answer is 43