Answer:
-12r^2 + 89r - 145
Step-by-step explanation:
(2r(2)−16r+29)(r−5)
=(2r(2)+−16r+29)(r+−5)
=(2r(2))(r)+(2r(2))(−5)+(−16r)(r)+(−16r)(−5)+(29)(r)+(29)(−5)
=4r2−20r−16r2+80r+29r−145
=−12r2+89r−145
4. Write a verbal expression for 6g^2/5
Answer:
the product of 6 and a squared number divided by 5Step-by-step explanation:
HELP!!! MATH!!! PLEASE HELP PLEASE!!! Determine the answer to 3 + (−5) and explain the steps using a number line. (5 points)
Answer:
3+(-5) = -2
Step-by-step explanation:
If you were at 3 in the number line then went back 5 spaces (which represents -5) it would be -2
Find the value of x in the equation below. 60 = 10 x
Answer:
Just do 60 divided by 10
Step-by-step explanation:
60=10 x 10 times 6 = 60 so x=6
Answer: [tex]x=6[/tex]
Divide both sides by 10
[tex]10x=10=60/10\\x=6[/tex]
A car is traveling at the speed of 50 meters per second. What is the cars speed in kilometers per hour? How many kilometers will the car travel in 2 hours? Do not round your answers.
A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, there can be 0 interactions. If there are 2 children, there can be 3 interactions. If there are 3 children, there can be 9 interactions. If there are 4 children, there can be 18 interactions. How many interactions will there be for 9 children?
Answer:
There will be 108 interactions for 9 children.
6. Four more than two-thirds of a number is twenty-two. Find the number.
Answer:
27
Step-by-step explanation:
Let x be the number
2/3 x+4 = 22
Subtract 4 from each side
2/3x +4-4 = 22-4
2/3 x = 18
Multiply each side by 3/2
3/2 ( 2/3x) = 18 * 3/2
x = 27
Answer:
[tex]\Huge \boxed{27}[/tex]
Step-by-step explanation:
Let the number be x.
[tex]\frac{2}{3} x+4=22[/tex]
Solve for x.
Subtract 4 from both sides.
[tex]\frac{2}{3} x+4-4=22-4[/tex]
[tex]\frac{2}{3} x=18[/tex]
Multiply both sides by [tex]\frac{3}{2}[/tex].
[tex]\frac{2}{3} x \cdot \frac{3}{2} =18 \cdot \frac{3}{2}[/tex]
[tex]x=27[/tex]
The number is 27.
Find the length of segment AB. (Find the distance between the two points). A(-3,5) B(0,1)
Answer:
5
Step-by-step explanation:
The formula is [tex]\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2}})^{2} }[/tex]
[tex]x_{1}[/tex]=-3 [tex]x_{2}[/tex]=0
[tex]y_{1}[/tex]=5 [tex]y_{2}[/tex]=1
[tex]x_{1}- x_{2}[/tex]=-3
[tex]y_{1}- y_{2}=4[/tex]
Therefore: [tex]\sqrt{(-3)^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex]
3.5x + y - 10.2x + 2.3y =
Answer:
-6.7x + 3.3y
Step-by-step explanation:
Step 1: Write out expression
3.5x + y - 10.2x + 2.3y
Step 2: Combine like terms (x)
-6.7x + y + 2.3y
Step 3: Combine like terms(y)
-6.7x + 3.3y
Answer:
3.3 y - 6.7 x
Step-by-step explanation:
Rewriting for clarity.
(2.3y + y) + (3.5x - 10.2x)
(3.3y) + (-6.7x)
3.3y - 6.7x
a wool suit discounted by 30% for a clearance sale, has a price tag of $199. what was the suit's original price
Answer:
$284.29Step-by-step explanation:
Let the original price be x
The discounted price for a clearance sale = 30% of x
If the price tag after discounting = $199.
Using the relationship to find the original price x
Original price - discounted price = Current price tag after discounting
x - 0.3x = 199
0.7x = 199
Divide both sides by 0.7
0.7x/0.7 = 199/0.7
x = $284.29
Hence the suit's original price is approximately $284.29
20 POINTS FOR BRAINLIEST!! The graph shows Marc's individual and cumulative tips for 7 days Which day gave Marc the sharpest boost in accumulated tips? A): Day 1 B): Day 2 C): Day 3 D): Day 4
The answer is Day 3. The blue bar for day 3 is the tallest, which means that was the highest amount.
On day 3 the sharpest boost in accumulated tips. Therefore, option C is the correct answer.
Given that, the graph shows Marc's individual and cumulative tips for 7 days.
We need to find which day gave Marc the sharpest boost in accumulated tips.
What are bar graphs?Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data. They are also known as bar charts. Bar graphs are one of the means of data handling in statistics.
Now, in the given graph we can see that on day 3 tip is more.
On day 3 the sharpest boost in accumulated tips. Therefore, option C is the correct answer.
To learn more about the bar graphs visit:
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The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width, find the dimensions of the garden
Answer:
width=16
length=38
Step-by-step explanation:
perimeter of a rectangle=2(length+width)
108/2=length+ width
54=length+ width
54-width=length
also:
length-6= 2×width
length=2width +6
now you can put the length we found, in the second equation:
54-width=2width+6
54-6=2width+width
48=3width
width=16
now do the exact same thing with one of the equations we created in the beginning.
either this:
54-width=length
or this:
length=2width +6
as the 1st one is simpler, I use that:
54-(16)=length
length=38
Which expressions are equal to 0 when x = –1? Check all that apply.
Answer: ACE
Step-by-step explanation:
The expression first, third, and fourth becomes zero when plugging x = -1 in the equation.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
First,
[tex]=\rm \dfrac{4\left(x+1\right)}{4x+5}[/tex]
Plug x = -1
The expression value becomes zero.
Second,
[tex]= \rm \dfrac{4\left(x-1\right)}{5-4x}[/tex]
Plug x = -1
= -8/9
Third,
[tex]\rm \dfrac{4\left(x-\left(-1\right)\right)}{4x+5}[/tex]
Plug x = -1
The expression value becomes zero.
Fourth,
[tex]\rm \dfrac{4\left(x+\left(-1\right)\right)}{4x+5}[/tex]
Plug x = -1
The expression value does not become zero.
Fifth,
[tex]\rm \dfrac{4\left(x+1\right)}{5-4x}[/tex]
Plug x = -1
The expression value becomes zero.
Thus, the expression first, third, and fourth becomes zero when plugging x = -1 in the equation.
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which equations represents the line that pases through points (1,-5) and (3, -17)?
Answer:
y= -6x +1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.
In order to find the equation of a line, you would need 2 things:
① Gradient (← can be found)
② Coordinate (✓ we have 2 coordinates here)
To find the gradient, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
[tex]m = \frac{ - 5 - ( - 17)}{1 - 3} \\ m = \frac{ - 5 + 17}{ - 2} \\ m = \frac{12}{ - 2} \\ m = - 6[/tex]
Substitute the value of m into the equation:
y= -6x +c
To find the value of c, substitute a pair of coordinates.
When x=1, y= -5,
-5= -6(1) +c
c -6= -5
c= 6 -5
c= 1
Thus, the equation of the line is y= -6x +1.
Can somebody help me with the first set please you have to match it
Answer:
they are in the link. i answered each on in the same order they are in the picture soooo here u are.
Ivan also decides to try putting together the “Multiples of 3” set from the numbers sitting around. How can he know if a number is a multiple of 3? (Hint: Build a lot of different multiples of 3. Then look at the sum of the digits of each number.
Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...
The two digit numbers in that list above all have their digits adding to some other multiple of 3
1+2 = 31+5 = 61+8 = 92+1 = 32+4 = 62+7 = 93+0 = 33+3 = 63+6 = 9and so on.
Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.
What is the absolute value of -1/4
Answer:
1/4
Step-by-step explanation:
Absolute values are always positive.
The absolute value is |1/4|
To understand this let's first understand the definition of absolute value.
Absolute value - The non-negative value of a number without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
Therefore the absolute value of -1/4 is just 1/4.
Also, remember that to indicate that it's the absolute value you have to add a " | " before and after the number. Like this |1/4|
Hope this helped ~
Which of the following pairs of fractions with a common denominator are equivalent to 1/4 and 2/5?a. 5/20, 8/20b. 1/20, 2/20c. 1/9, 2/9d. 5/20, 4/20
Answer:
a. 5/20, 8/20
Step-by-step explanation:
1/4 and 2/5
a. 5/20, 8/20
5/20
Divide both numerator and denominator by 5
= 1/4
8/20
Divide both numerator and denominator by 4
= 2/5
b. 1/20, 2/20
1/20 =1/20
2/20
Divide both numerator and denominator by 2
= 1/10
c. 1/9, 2/9
Both fractions can't be further simplified
= 1/9, 2/9
d. 5/20, 4/20
5/20
Divide both numerator and denominator by 5
= 1/4
4/20
Divide both numerator and denominator by 4
= 1/5
The correct answer is a. 5/20, 8/20
= 1/4, 2/5
5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5
We are ask to find the equivalent of the pairs of fractions with a common denominator 1 /4 and 2 / 5.
The logic is to reduce by dividing the options with same numerator and denominator to get the equivalent of the fraction required.
Therefore,
5 / 20 and 8 / 20
5 / 20 ÷ 5 / 5 = 1 / 4
8 / 20 ÷ 4 / 4 = 2/5
Base on the answer you can see that when we reduced option A fractions, they are the same with the required fractions.
Therefore, 5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5
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Please Help! I'm stuck!
Answer:
See attached image
Step-by-step explanation:
If you have two marbles in a bag and you are choosing the marbles randomly twice, then we can look at fractions.
Each time, you have a 0.5 chance of picking the silver marble. After you pick that, you have another 0.5 chance of picking the silver marble again.
This applies with any combination.
This means that the probability of you getting two silvers in a row is 0.25.
Since the marbles are the same size and nothing is stopping you from choosing one, this probability applies to all combinations possible.
Hope this helped!
ayyyyyyyyyyyyyyyy i need some help lease
Answer:
.95
Step-by-step explanation:
Which represents the solution(s) of the equation x2 = 324? A) x = 18 B) x = ± 18 C) x = − 324 D) x = ± 324
Answer:
A
Step-by-step explanation:
x = 18
True or false When factoring a trinomial you multiply the a and C factor
pls help this is geometry
Answer:
B, D, and E
Step-by-step explanation:
B) m<1 + m<2=m<4 TRUE. If you and 1, 2, and 3, you get 180. If you add 3 and 4, you get 180. So 1 and 2 must be the same as 4.
D) m<4 is greater than m<2
E) m<4 is greater than m<1
A library has 167 trees on their property, but they are having trouble growing grass so they need to pay to have trees cut down each year until the property has less than 50 trees. If they can pay to have only four trees cut down this year, but eight trees cut down every year after that, in how many years will they have less than 50 trees on their property?
Answer:
15 years
Step-by-step explanation:
Given:
Number of trees = 167This year limit = 4 treesYearly limit following years = 6 trees per yearTarget number of trees = 50Building inequality:
167 - 4 - 8x < 508x > 113x > 113/8x > 14.125Adding current year to 14 we get 15 years as answer
Please answer correctly will mark brainliest
0.28
x 0.86
it’s no answer choices ;((
Answer:
Hey there!
0.28 times 0.86 is equal to 0.2408
Let me know if this helps :)
What is 5 + 5 + 9 + 3 - 10 x 4 - 8 + 9 - 7 - 1 + 9 x 6
Answer:
29
Step-by-step explanation:
Among all pairs of numbers with a sum of 149149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Correct question is;
Among all pairs of numbers with a sum of 149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms
Answer:
The pair whose product is maximum is 149/2 and 149/2
Step-by-step explanation:
We are told that pair of number with sum as 149 and to find the product that is maximum.
Now,let x and y be the numbers. Thus;
x + y = 149 and xy is maximum.
So, y = 149 - x
Thus, plugging 149 - x for y into the product equation gives; x(149 - x). This can be expanded to be -x² + 149x.
Using method of completing the square, we will arrive at;
-(x² - 149x) = -(x² -149x + (149/2)²) + (149/2)² = (149/2)² - (x - (149/2))²
Now, the expression gotten will have a maximum of (149/2)² when (x - (149/2))² has its minimum value of zero. This means that when x = 149/2, as x moves away from 149/2, (149/2)² would be reduced by the square of the difference between the value of x and 149/2, and the square would always be positive.
Thus, the maximum product in it's simplest form is x = y = 149/2
solve for x = 2 ÷ 12⁻¹
Answer:
x = 24
Step-by-step explanation:
x = 2 ÷ 12⁻¹
x = 2 * 12
x = 24
Answer:
x = 24
Step-by-step explanation:
The applicable rule of exponents is ...
1/a^-b = a^b
__
The problem simplifies to ...
x = 2 ÷ 12^-1 = 2 · 1/12^-1
x = 2 · 12^1 = 2·12
x = 24
the midpoint of the coordinates (13,15) and (12,8) is ________
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂
Finding the midpoint
[tex] \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}[/tex]
[tex]\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}[/tex]
[tex] \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}[/tex]
Hope I helped!
Best regards! :D
Burn is to ointment as grief is to
?
O Sorrow
O Adversity
O Consolation
Pity
O Sympathy
Answer:The answer is Sympathy
Step-by-step explanation:
The correct answer is Consolation
If we look at the flow of the first sentence, ointment is the instrument that is used to soothe a burn.
The implication of this is that we also need to find the word that best describes that which can be used to soothe grief.
When a person is grieving, such a person is in need of consolation hence the correct answer is consolation.
For more about the meaning of the word consolation, see
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