Hello!
To answer this question we need to find the factors of -120.
The total set (both negative and postive! ) are the following:
1, -1202, -603, -404, -305, -246, -208, -1510, -1212, -1015, -820, -624, -530, -440, -360, -2120, -1After looking over all of these factors, we can see that 10 · -12 is equal to not only -120, but when the multiplication sign is replace by addition, it is equal to -2!
Hope this helps.
Final answer:
The two numbers that multiply to -120 and add to -2 are 10 and -12. These satisfy the given conditions of multiplication and addition.
Explanation:
To find two numbers that multiply to -120 and add to -2, we can set up a system of equations based on the factors of -120. We know that if two numbers multiply to a negative number, one must be positive and the other negative. So we look for two factors of 120 with a difference of 2, given that one will be negative and the other positive.
Considering the factor pairs of 120: (1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15), (10, 12), we find that 10 and -12 satisfy both conditions: 10 * -12 = -120 and 10 + (-12) = -2.
3.8 times 10 to to the
8 power HELP ME
Hi!
[tex]3.8*10^8[/tex]
[tex]3.8*100000000[/tex]
[tex]=380,000,000[/tex]
Explanation: This question is super super easy. First you had to write down their problems is 3.8*10^8. Then write for 10^8=100000000 and equal to 100000000*3.8. And the answer is =380,000,000 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie
How do you factor by finding the common monomial factor?
To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3 p 2 r 3 .
What is the value of a? a–2=3+6a/3
wait bro u in k12 i am
Which expression is equivalent to 9x^5 y^16/45x^5 y^4
A. y^12/5
B. y^12/36
C. xy^4/5
D. xy^4/36
Answer:
The correct answer is option A
The expression 9x⁵y¹⁶ / 45x⁵y⁴ will be equivalent to the expression y¹² / 5. Then the correct option is A.
What is an equivalent function?The equivalent is the functions that are in different forms but are equal to the same value.
The expression is given below.
⇒ 9x⁵y¹⁶ / 45x⁵y⁴
Then the expression can be written as
⇒ 9x⁵y¹⁶ / 45x⁵y⁴
⇒ y¹² / 5
Then the correct option is A.
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At midnight, the outside temperature was -12.3 degrees. By 6:00 AM the outside tempature had dropped 6.8 degrees.
What was the outside temperature at 6:00 AM?
-19.1 degrees
-5.5 degrees
5.5 degrees
18.1 degrees
f(x) = 3x2 - 2x g(x) = x + 4 When finding f(x) · g(x), what could the first step look like? A) 3x2 + 12x2 - 2x2 - 8x B) 3x2 + 7x2 - 2x2 + 2x C) 3x3 + 12x2 - 2x2 - 2x D) 3x3 + 12x2 - 2x2 - 8x
(3x^2 - 2x)(x + 4)
First step would be: distributive property.
3x^3 + 12x^2 - 2x^2 - 8x
Combine like terms.
3x^3 + 10x^2 - 8x is the simplified form of the functions multiplied.
Your answer is D.
Final answer:
The first step in finding f(x) · g(x) involves multiplying the two functions together, following the distributive property, resulting in terms like 3x³ and 12x².
Explanation:
When finding f(x) · g(x), the first step would involve multiplying the two functions together. This means multiplying each term of f(x) by each term of g(x) using the distributive property.
For f(x) = 3x² - 2x and g(x) = x + 4, the first step would look like:
f(x) · g(x) = (3x² - 2x) · (x + 4) = 3x² · x + 3x² · 4 - 2x · x - 2x · 4 = 3x³ + 12x² - 2x² - 8x
So, the correct option in this case is A) 3x³ + 12x² - 2x² - 8x.
20 POINTS!!! BRAINLIEST ANSWER INCLUDED!!!! Solve the problem using the six-step method. A pharmacist found at the end of the day she had 4/3 as many prescriptions for antibiotics as tranquilizers she had 35 prescriptions altogether how many did you have for the tranquilizers.
Add the ratio:
4 +3 = 7
Divide total by that:
35 / 7 = 5
Multiply each ratio by 5:
4 x 5 = 20
3 x 5 = 15
They had 20 antibiotic prescriptions and 15 tranquilizer prescriptions.
the 26-oz jar of chocolate fudge costs $3.12. The 16-oz jar costs $2.40. How much can you save on each ounce by choosing the better buy?
Answer:
¢8.3 per ounce with the 26 ounce jar
¢6.6 per ounce with the 16 ounce jar
Step-by-step explanation:
divide 26 and 3.12
divide 16 and 2.40
Answer: $0.03
To solve this problem, you must find the unit rate that each jar of chocolate fudge is offering:
For the 26oz jar, you must divide 3.12 by 26 (3.12/26), which will give you an answer of $0.12 per ounce
For the 16oz jar, you must divide 2.40 by 16 (2.40/16), which will give you an answer of $0.15 per ounce
Doing the math, you will find that the 26oz jar has a better deal (less money per ounce), by 0.15-0.12 = $0.03 per ounce (saved on the better deal)
The Formula For The Area Of a Triangle Is A = 1/2bh.
a.Solve the formula for h.
An angle measures 4° more than the measure of a complementary angle. What is the measure of each angle?
a complementary angle is 90 degrees, so, if the angle measures 4 more than a complimentary angle, it is 94 degrees.
Naomi's recipe for baked beans calls for 7 1/5 cups of kidney beans. Each can of kidney beans holds 1 4/5 cups. How many cans of kidney beans will Naomi use to make the recipe
To find out the number of cans Naomi needs for her recipe, you divide the total cups of kidney beans she needs (7 1/5) by the number of cups each can holds (1 4/5), which equates to four. Naomi will therefore need four cans of kidney beans to make her baked beans.
Explanation:In the content loaded Naomi's recipe for baked beans, we know she needs 7 1/5 cups of kidney beans and that each can of kidney beans holds 1 4/5 cups.
To find out how many cans she needs, we'll divide the total cups needed by the amount each can holds. Remember, when dividing fractions, it's helpful to change the division into multiplication by multiplying by the reciprocal of the second fraction.
So, 7 1/5 ÷ 1 4/5 becomes 7 1/5 x 5/9 (as 5/9 is the reciprocal of 1 4/5).
That comes out to 4 when calculation is done. Therefore, Naomi will need 4 cans of kidney beans to make the recipe.
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Solve for N.
-7 + N = 20
N = 13
N = -13
N = 27
N = -27
To solve the question -7 + N = 20, we add 7 to both sides to get N = 27. Among the provided options, the correct answer is N = 27.
Explanation:To solve for N in the equation -7 + N = 20, you should add 7 to both sides of the equation to isolate the variable N on one side. This gives you the equation N = 20 + 7.
The solution is N = 27 as 20 + 7 results in 27. Therefore, the correct answer among the options provided is N = 27.
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Linear equations clark wants to figure how many pens to order for the office . There are 36 workers , and he needs to order one pen for each worker . He knows that for every three people who prefer red there are nine who prefer blue How many blue pens should he order ?
The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy a membership for $100 and pay only $4 a session. Which equation would you use to determine how many sessions you must use the pool to justify buying the membership? A) 4x = 100 + 6x B) 6x + 4x = 100 C) 6x = 100 + 4x D) 100 - 4x = 6x
Answer:
C) [tex]6x=100+4x[/tex]
Step-by-step explanation:
Let the number of sessions be x
Let the total payment be y
Without membership, the equation becomes:
[tex]y=6x[/tex]
With membership, the equation becomes:
[tex]y=100+4x[/tex]
Now to justify, $100, we will equal both to get the number of sessions.
[tex]6x=100+4x[/tex]
[tex]=> 2x=100[/tex]
Dividing both sides by 2;
x = 50
Hence, the right equation is : [tex]6x=100+4x[/tex]
How do I do I find the answer
Answer:
530
Step-by-step explanation:
The formula for the perimeter is,
P = 2(l + w)
Let's input those numbers,
P = 2(166 + 99)
Add,
P = 2(265)
Multiply,
P = 530
Hope this helps :-)
what are the next three numbers in this sequence?
32, 16, 8, 4, 2, ...
The sequence is halving, therefore the next three numbers are 1, 0.5, and 0.25.
Explanation:The given sequence is a series of numbers where each number is half of the previous number. This is often referred to as a geometric sequence where the common ratio is 0.5. Therefore, to find the next number in the sequence, we multiply the last number by 0.5.
Following this pattern:
The next number after 2 would be 2 * 0.5 = 1.The number after 1 would be 1 * 0.5 = 0.5.Then the number after 0.5 would be 0.5 * 0.5 = 0.25.So, the next three numbers in the sequence are 1, 0.5, and 0.25.
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How do I solve this ?
You have to find the average so add all of them up and divide by the number of numbers which in your case is 20. If you like my answer please mark me as brainliest
Solve for y: 3x= y+7
Answer:
Hey there! :) y = 3x - 7
Step-by-step explanation:
Our very first step should be to rewrite our question.
3x = y + 7 ; solve for y.
In order to find out what y is equal to, we must isolate y. We can do this bu subtracting 7 from both sides of the equal sign.
3x - 7 = y + 7 - 7
Simplify.
3x - 7 = y
Therefore, y is equal to 3x - 7.
~Hope I helped!~
Can someone help?
If the y intercept is 490, and the rise over run is -2/3, what is the x intercept?!
Please help i need it fast and will give brainliest for right answer.
D. The slope of f(x) is the same as the slope of g(x)
[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{The slope of f(x):}\\\\\text{We have the points}\\\\(0,\ 3)\to x_1=0,\ y_1=3\\(1,\ 1)\to x_2=1,\ y_2=1\\\\\text{substitute}\\\\m=\dfrac{1-3}{1-0}=\dfrac{-2}{1}=-2\\\\g(x)=-2x-5\to\text{the slope}\ m=-2\\\\Answer:\ \text{D. The slope of f(x) is the same as the slope of g(x)}[/tex]
what are 3 equivalent ratios for 10/12
Answer:
Three equivalent ratios would be 5/6, 20/24 and 30/36
Step-by-step explanation:
In order to find equivalent ratios, we need to multiply or divide both numbers by the same amount. First, lets divide both by 2.
10/2 = 5
12/2 = 6
5/6
Next we can multiply both by 2
10*2 = 20
12*2 = 24
20/24
Next we can multiply both by 3
10*3 = 30
12*3 = 36
30/36
what are 3 equivalent ratios for 10/12
5/6
15/18
20/24
25/30
Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen weeds yards and Fabio walks dogs to raise money. Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog. The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed. Fabio will walk at least 25 dogs. Write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked.
Answer:
[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]
Step-by-step explanation:
If x represents the number of lawns and 'y' represents the number of dogs that Fabio walked then:
The amount of money raised by Fabio plus the amount of money raised by Gwen must be greater than or equal to $ 510.
[tex]12x + 9y \geq = 510[/tex]
The number of dogs that Fabio will walk is less than or equal to twice the number of yards of lawn cleared by Gwen.
[tex]y\leq 2x[/tex]
Fabio will walk at least 25 dogs
[tex]y \geq 25[/tex]
Finally, the restrictions are:
[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]
Following the Baltimore Running in 2009, volunteers collected and recycled 3.75 tons of trash. Graph 3.75 on a number line and write the weight as a mixed number
3 3/4 is the answer i think
Answer:
Step-by-step explanation:
3 3/4 is the answer
Any number that is divisible by 4 is also divisible by 8. Find a counterexample to show that the conjecture is false. 12 40 26 24
Answer is C, as 12 is divisible by 4, but not 8.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 8: 8, 16, 24, 32, 40
Based on the multiples up to 40 there are 3 numbers that are multiples of 4 but not 8. They are 12, 28 and 36.
Based on the choices given the answer would be 12.
literal equations
Have to solve for the variable h.
Math Problem-
2hij = kl
Answer:
h=kl/2ij
Step-by-step explanation:
The multiplication order doesn't matter so just divide everything and leave h there :)
A trampoline has a rectangular jumping surface that is 10.3 feet long and 9.2 feet wide. What is the area of the jumping surface?
Sure, to find the area of a rectangle, we simply multiply its length by its width. Here, the length of the trampoline's jumping surface is given as 10.3 feet, and the width is given as 9.2 feet.
Step 1: Write down the length and width.
Length = 10.3 feet
Width = 9.2 feet
Step 2: Multiply the length by the width.
Area = Length × Width = 10.3 feet × 9.2 feet
Perform this multiplication to get the area.
Result: The area of the jumping surface of the trampoline is 94.76 square feet.
This means that the total surface area upon which someone can jump on the trampoline is 94.76 square feet.
HELP PLEASE
Drag a reason to each box to complete the proof.
Given: AC=BD
Line segment A D with points A B C D on order from left to rightLine segment A D with points A B C D on order from left to right
Prove: AB=CD
Statements Reason
1. AC=BD
2. AC=AB+BC
3. BD=BC+CD Segment Addition Postulate
4. AB+BC=BC+CD
5. AB=CD Subtraction Property of Equality
Answer:
1. AC+BD given.
2. AC=AB+BC; Segment addition postulate.
4. AB+BC=BC+CD; Substitution property of equality.
Step-by-step explanation:
We have been given a line segment AD with points A B C and D sitting on AD from left to right and we are asked to find the reasons for given statements.
1. AC=BD is given. Therefore, we will add 'given' in first reason box.
2. We know If two points (A and C) lies on a line segment and third point (B) lies between these points then by segment addition postulate the distance between AC will be equal to sum of distances between AB and BC.
4. Since we know that substitution property of equality states that if x=y than we can substitute x in place of y in any equation and y in place of x as well in any equation. Since we know that [tex]AC=AB+BC[/tex] and [tex]BD=BC+CD[/tex]
Therefore, by substitution property of equality [tex]AB+BC=BC+CD[/tex].
Write a division problem that has the dividends of a/3 and a quotient of 5a2/6b
The division problem meeting with the given criteria 'dividend of a/3 and a quotient of 5a2/6b' is '(a/3) ÷ (b/2a) = 5a2/6b'. This is found by using the division formula 'Dividend = Quotient x Divisor' and solving for the divisor.
Explanation:The problem can be explicitly solved using the general formula for division in variables. Given the dividend is 'a/3' and the quotient is '5a2/6b', you can solve for the divisor using the formula 'Dividend = Quotient x Divisor'. Your unknown in the equation is the divisor and hence rearranging the equation we get, 'Divisor = Dividend / Quotient'. Substituting the given values, the divisor comes out to be 'Divisor = (a/3) / (5a2/6b)' which simplifies to 'b/2a'. Therefore, the division problem matching your criteria would be '(a/3) ÷ (b/2a) = 5a2/6b'.
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covert 5 kilograms into grams
it would be exactly 5000 grams
Help?
One of the fastest recorded speeds of a turtle while swimming is 9 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]
32.4 km/h
2.5 km/h
6.48 km/h
150 km/h
Answer:
The correct option is: 32.4 km/h
Step-by-step explanation:
The fastest recorded speed of a turtle while swimming is 9 m/s.
Now, 9 m/s [tex]=\frac{(9)meters}{(1)second}[/tex]
1 kilometer= 1000 meter
So, 1 meter [tex]= \frac{1}{1000}=0.001[/tex] kilometer
and 9 meters [tex]=(9*0.001)kilometer = 0.009[/tex] kilometer
Now, 1 hour = 3600 seconds
So, 1 second [tex]=\frac{1}{3600}hour[/tex]
Thus, we will get.........
[tex]\frac{(9)meters}{(1)second}=(\frac{0.009}{\frac{1}{3600}}) kilometer/hour =(0.009*3600)=32.4 km/h[/tex]
So, the speed of the turtle will be 32.4 km/h.