Answer:
x=2Step-by-step explanation:
5x+1/3(3x−6)=10
Simplify both sides of the equation:5x+1/3(3x−6)=10
5x+(1/3)(3x)+(1/3)(−6)=10 (Distribute)
5x+x+−2=10
(5x+x)+(−2)=10 (Combine Like Terms)
6x+−2=10
6x−2=10
Add 2 to both sides:6x−2+2=10+2
6x=12
Divide both sides by 6:6x/6=12/6
x=2
simply 7y2 - 5y + 9y - 5y2
Answer:
2y^2+4y
Step-by-step explanation:
7y^2-5y+9y-5y^2
=7y^2+4y-5y^2
=7y^2-5y^2+4y
=2y^2+4y
Write an equation and solve: y decreased by 23 is 52.9
Answer:
y = 75.9
Step-by-step explanation:
Write an equation and solve: y decreased by 23 is 52.9
y - 23 = 52.9
y = 52.9 + 23
y = 75.9
------------------------
check
75.9 - 23 = 52.9
52.9 = 52.9
the answer is good
Solve each proportion.
(z-1)/3 = 8/(z+1)
[tex]\dfrac{z-1}3 = \dfrac8{z+1}[/tex]
Eliminate the denominators.
[tex]3(z+1)\cdot\dfrac{z-1}3 = 3(z+1)\cdot\dfrac8{z+1}[/tex]
[tex]z^2 - 1 = 24[/tex]
Solve for [tex]z[/tex].
[tex]z^2 = 25[/tex]
[tex]\boxed{z = \pm5}[/tex]
9x + 22x + 25 =180 what does x =
Answer:
what does x = 5
45 + 110 + 25 = 180
Step-by-step explanation:
To get x we multiply which same number is multiplied by both numbers and give the answer for 9x + 22x + 25 = 180
in 9's table we have 9×5=45
in 22's table we have 22×5=110
Now we can check 45 + 110 + 25 = 180
Hence we can conclude that x = 5
Hope it helps!!!
:)
Brainliest pls
Answer:
x = 5
Step-by-step explanation:
Given equation
→ 9x + 22x + 25 = 180
Now the value of x will be,
→ 9x + 22x + 25 = 180
→ 31x = 180 - 25
→ x = 155/31
→ [ x = 5 ]
Hence, the value of x is 5.
About what percent of 9-ounce bags of this brand of potato chips weigh less than the advertised 9 ounces? Is this likely to pose a problem for the company that produces these chips?
Answer:
0.82%
Step-by-step explanation:
Help asap: use the number line to find the coordinate of p that represents the weighted average of the set of points such as point c has a weight of 3, and point e has a weight of 5
The coordinates weighted average is 6.
How is the weight average calculated?The whole query is as follows:
The weights of the coordinates 3 and 8 are 2 and 3, respectively. Additionally, we must determine the weighted average.
The parameters are as follows:
Three has a weight of two.
The weight of coordinate 8 is 3.
Next, the weight average is determined as follows:
Weight average is equal to the product of the weight and the coordinates.
We thus have:
Average weight: (3 * 2 + 8 * 3)/(2 + 3)
Assess the quotient.
Average weight = 6
Consequently, the coordinates' weighted average is 6
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Complete the sentence.
21ft= ____yd.
21ft = 7yd or 21 feet is equivalent to 7 yards.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
The sentence states an equality between units of length: feet and yards.
From there, we can say that we are asked how many yards are there in 21 feet
Converting feet to inches, we must use the conversion
3 feet = 1 yard
21ft = 21/3 yards
21ft = 7yd
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2x+3
7. Find each value if f(x)=x²-2x-8 and g(x)=-2x+1
(b) f(-3d)
(a) f(3)
(d) g(5)
(e) g(3x)
(e) f(2a-1)
(1) g(-4a+8)
Answer:
Step-by-step explanation:
a. f(-3d) = (-3d)^2 - 2(-3d) - 8 = 9d^2 + 6d - 8
b. f(3) = (3)^2 - 2(3) - 8 = 9 - 8 - 8 = 1 - 8 = -7
c. f(2a - 1) = (2a - 1)^2 - 2(2a - 1) - 8 = 4a^2 - 4a + 1 -4a + 2 - 8 = 4a^2 - 8a - 5
d. g(5)= (2(5)+3)/(5^2 -2(5) + 1) = (10 + 3)/(25 - 10 + 1)= 13/15+1= 13/16
e. g(3x)= (2(3x) + 3))/((3x)^2 - 2(3x) + 1))= (6x + 3)/(9x^2 - 6x + 1)
f. g(-4a + 8) = (2(-4a + 8)) + 3/(-4a + 8)^2 - 2(-4a +8) +1))
(-8a + 16 + 3)/(16a^2 - 32a + 64 + 8a - 16 + 1)
(-8a + 19)/(16a^2 - 24a + 49)
Check that q=514 for the equation q - 345 = 169
Answer:
169+345=514
514-169+345
Step-by-step explanation:
Answer:
514 - 345 = 169169 = 169
Step-by-step explanation:
Check that q=514 for the equation q - 345 = 169
q - 345 = 169
q = 169 + 345
q = 514
------------------
check
514 - 345 = 169
169 = 169
the answer is good
Write the measurement with the indicated number of significant digits.
982. 1m^2
Using scientific notation, it is found that:
The number is written as follows: [tex]9.821 \times 10^2[/tex] m².The number has 4 significant digits, which are 9, 8, 2 and 1.What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
For this problem, the number is given by:
982.1 m².
In scientific notation, the base has to be a number between 1 and 10(open interval at 10), hence the base has to be divided by 100.
To compensate for the division by 100, the number has to be multiplied by 100 somewhere, which happens when we add 2 to the exponent, as 10² = 100.
Hence:
The number is written as follows: [tex]9.821 \times 10^2[/tex] m².
The significant digits are all the digits that are not zero, and the zeros at the beginning or between other numbers, hence they are:
9, 8, 2 and 1.
Meaning that the number has 4 significant digits.
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James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallon of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need?
Group of answer choices
In order to make 4.5 gallons of orange juice, she will need 12 cartons of concentrated orange juice.
The volume of concentrated orange juice is equal to 12 fluid-ounce cartons.Orange juice concentrate to water ratio = 12 fluid ounces to 36 fluid ouncesThe amount of orange juice required by James is 4.5 gallons (576 fluid ounces).So,
The orange juice concentrate to water ratio is 12:36.
Now, let's call 'x' the amount of concentrated orange juice in 4.5 gallons of orange juice and 'y' the amount of water in the 4.5 gallons of orange juice we have;
x + y = 4.5 (gallons) ...(1)x:y = 12:36 = 1:3∴ x/y = 1/33·x = y ...(2)We can conclude the following from equations (1) and (2):
x + y = 4.5x + 3·x = 4.5x = 4.5/4 = 1.125x = 1.125x = 1.125 gallons of concentrated orange juice in 4.5 gallons of orange juice:
y = 3 × x = 3 × 1.125 = 3.375y = 3.375y = 3.375, the amount of water in 4.5 gallons of orange juice.
As a result, we have;
4.5 gallons = 576 fluid ounces1.125 gallons = (576/4.5) × 1.125 = 144 fluid ouncesThe number of fluid ounces in a carton is 12 ounces.
The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartonsIn 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons of concentrated orange juice
x = 12 cartons of orange juice = the amount of concentrated orange juice she requires in 4.5 gallons of orange juiceThe amount of concentrated orange juice she requires in 4.5 gallons of orange juice, x = 12 cartons of orange juiceTherefore, in order to make 4.5 gallons of orange juice, she will need 12 cartons of concentrated orange juice.
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The diameter of the base of a water bottle is 3 1/2 inches. What is the length on inches of the diameter of 6 of these water bottles?
Answer:
21
Step-by-step explanation:
3.5 x 6 = ?
Find the coordinates of the midpoint of a segment with the given endpoints.
V(-2,5), Z(3,-17)
The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).
What is the midpoint of the segment with the given endpoint?The midpoint formular used in finding the midpoint of a segment is expressed as;
( [x₁+x₂]/2 , [y₁+y₂]/2 )
Given the data in the question;
Point V(-2,5)
x₁ = -2y₁ = 5Point Z(3,-17)
x₂ = 3y₂ = -17Plug these values into the equation above.
( [x₁+x₂]/2 , [y₁+y₂]/2 )
( [(-2) + 3]/2 , [5 + (-17)]/2 )
( 1/2 , -12/2 )
( 1/2, -6 )
The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).
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determine whether the points lie on a straight line. (a) a(2, 6, 1), b(3, 8, 0), c(1, 4, 2) yes, they do lie on a straight line. no, they do not. (b) d(0, −4, 4), e(1, −1, 3), f(3, 2, 2)
If the points lie on straight line then, the points should be collinear.
How do you know if the 3 points are on the line?We enter the values and check to see whether we receive a true statement, such as "10 Equals 10," to determine whether a point (x, y) is on the graph of a line. The point is not on the line if we obtain a result other than 6 = 4, as it does not meet the equation. Two lines will coincide if they have a same point and have the same slope. To put it another way, if A, B, and C are three points in the XY plane, they will all lie on a line, or three points will be collinear, but only if AB's slope and BC's slope are both equal.
(a) ab=kac
(3-2,8-6,0-1)=k(1-2,4-6,2-1)
⇒(1,2,-1)=k(-1,-2,1)=-k(1,2,-1) these are the points lie on stright line.
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c. probability that the mother in this sample had a premature baby given that the mother admitted to smoking
Probability that the mother in this sample had a premature baby given that the mother admitted to smoking is 50 percent.
What is probability?Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 demonstrates difficulty of the occasion and 1 shows conviction.
P (A) is the probability of an event “A”
n (A) is the number of favorable outcomes
n (S) is the total number of events in the sample space
The higher the likelihood of an occasion, the more probable it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.
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Help me please! :)
And please explain how you got it
Answer:
-1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number
Step-by-step explanation:
You should understand that numbers are naturally classified as real and imaginary. Under the real numbers, they are additionally classified into rational and irrational numbers. Under rational numbers, these possess fractions and integers. Irrational numbers are in decimal forms that cannot be converted to fractions. Thus, the difference between the two is that: -1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number.
what could be possible ones digit of square.root of each of the following number 9801
The square root of 9801 is 99.
What is square root?√9801 = 99
A number can be obtained by multiplying the square root of that integer by itself.
The equation √y = √y12 can be used to express the square root of any number. In other words, if a number's exponent is 1/2, we must determine the number's square root.
The context of complex numbers can be used to discuss square roots of negative numbers. More broadly, square roots can be taken into account in any situation where the concept of an object's "square" is established. Among other mathematical structures, these include square matrices and function spaces.
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A plant splits into 3 new plants each week. How many plants will you have after 4 weeks?
Answer: You will have 12 plants in 4 weeks.
Step-by-step explanation: You will 12 plants because you get 3 new plants every week. So 4 weeks times 3 plants each week gives you 12 plants in 4 weeks.
A card is selected to from a standard deck of 52 card what are the odds of selecting a red 9
The odds of selecting a red 9 is 1/26.
Probability of an event E is represented by P(E) can be defined as (the number of favorable outcomes) / (Total number of outcomes).
Given the total number of cards in a standard deck = 52
there can be only two red9 as one 9 from heart and one red from diamond.
So the number of outcome for red 9 =2
the probability of odds of selecting red 9 is [tex]\frac{2}{52}[/tex] which can be further simplified into [tex]\frac{1}{26}[/tex].
Therefore , The odds of selecting a red 9 is 1/26.
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I'd like the ratio of cupcakes to my guests to be 3 to 2 and there will be 8 guests
Answer: 12 cupcakes
Step-by-step explanation:
Find the amount of money accumulated after investing a principle P for years t at interest rate r, compounded continuously. P = $10,000 r = 11% r = 11% t = 20 Round your answer to the nearest cent (hundredth). Enter
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &20 \end{cases} \\\\\\ A=10000e^{0.11\cdot 20} \implies A=10000e^{2.2}\implies A \approx 90250.14[/tex]
Bobby bought movie tickets for 6 people
and popcorn for $19. If he spent a total of
$71.50, how much was each movie
ticket?
Help please
Answer:
$8.75
Step-by-step explanation:
y = 6x + 19
71.50 = 6x + 19 Subtract 19 from both sides of the equation
52.50 = 6x Divide both sides by 6
8.75 = x
the following dotplot shows the number of songs on each album in sal's collection. each dot represents a different album. 0022446688101012121414161618182020number of songs here is the five-number summary for these data: five-number summary min \text{q} 1q 1 start text, q, end text, start subscript, 1, end subscript median \text{q} 3q 3 start text, q, end text, start subscript, 3, end subscript max 444 999 101010 131313 202020 according to the 1.5\cdot \text{iqr}1.5⋅iqr1, point, 5, dot, start text, i, q, r, end text rule for outliers, how many low outliers are there in the data set? choose 1 answer: choose 1 answer:
There is only one value greater than 19, which is 20, indicating that the data set contains one high outlier.
What are a data set's median and quartiles?The data set's median, or 50th percentile, separates the bottom half from the upper half.The first quartile represents the median of the first half of the data set, which also represents the 25th percentile.The third quartile is the median of the data set's second half, which is also the 75th percentile.The inter-quartile range is the distance between the third and first quartiles.
Because the dot plot demonstrates the frequency of each inspection, the total data-set is given by:
4, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 16, 18, 20The following are the quartiles:
The first half is made up of the first nine elements, which are given by 4, 7, 8, 8, 9, 9, 10, 10, and thus Q1 = 9.The second half is made up of the last nine elements, which are 11, 12, 12, 13, 14, 16, 18, 20, and thus Q3 = 13.The IQR is calculated as follows:
IQR = Q3 - Q1 = 13 - 9 = 4The high outliers are values that are higher than 1.5 standard deviations above Q3, so the threshold is given by:
13 + 1.5 x 4 = 19Therefore, there is only one value greater than 19, which is 20, indicating that the data set contains one high outlier.
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The correct question is given below:
The following dot plot shows the number of songs on each album in Sal's collection. Each dot represents a different album.
A dot plot with an axis labeled "number of songs" and numbered from 0 to 20 in increments of 1, with 19 points. 4, frequency 1. 7, frequency 1. 8, frequency 2. 9, frequency 2. 10, frequency 4. 11, frequency 1. 12, frequency 2. 13, frequency 2. 14, frequency 1. 16, frequency 1. 18, frequency 1. 20, frequency 1.
Here is the five-number summary for these data:
Five-number summary
min \text{Q}_1Q
1
start text, Q, end text, start subscript, 1, end subscript median \text{Q}_3Q
3
start text, Q, end text, start subscript, 3, end subscript max
444 999 101010 131313 202020
According to the 1.5\cdot \text{IQR}1.5⋅IQR1, point, 5, dot, start text, I, Q, R, end text rule for outliers, how many high outliers are there in the data set?
Choose 1 answer:
MODELING REAL LIFE The average distance from Earth to the Sun is 92.95 million miles. The actual
distance varies from the average by up to 1.55 million miles. Write and solve an absolute value equation
to find the minimum and maximum distance from Earth to the Sun
The minimum and maximum distance from Earth to the Sun will be 90.7 million miles and 93.80 million miles.
How to calculate the value?From the information, The average distance from Earth to the Sun is 92.95 million miles. The actual
distance varies from the average by up to 1.55 million miles.
The minimum value will be:
= 92.25 - 1.55
= 90.7 million miles.
The maximum distance will be:
= 92.25 + 1.55
= 93.80 million miles.
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Estimate 65 square roots to the nearest tenth.
Question 6 of 10
Maureen has 5 rolls of pennies containing 50 coins each, 3 rolls of nickels
containing 40 coins each, 6 rolls of dimes containing 50 coins each, and 4
rolls of quarters containing 40 coins each. How much money does she have?
C A. $78.50
B. $83.50
C. $17.50
D. $8.30
Answer:
A $78.50
Step-by-step explanation:
Pennies $2.50
nickels $6.00
dimes $30.00
quarters $40.00
[tex]\sqrt{15}[/tex]
Answer:
3.87298335
Step-by-step explanation:
Answer:
3.872
Step-by-step explanation:
I got this answer wrong on my review, I didn't take 8th grade math so i'm kind of lost.
Answer: B
Step-by-step explanation:
I think it's B because if you solve the x and numbers by themselves then you get 4x-2
2x+3x = 5x
5x-1x= 4x
-5-2 = -7
-7+5= -2
4x-2
At sunset a thermometer had a reading of 4'f during the night the temperature decreased 15'f after the decrease what is the total number of degrees that the temperature must change for the thermometer must read 0'f
If at sunset a thermometer had a reading of 4°F and during the night the temperature decreased by 15°F, then after the decrease the total number of degrees that the temperature must change for the thermometer to read 0°F is equal to 11°F.
The total number of degrees that the temperature must change for the thermometer to read 0°F can be determined by using subtraction.
Subtraction can be defined as an act of calculating the difference between numbers or values.
As the temperature decreased by 15°F during the night, the temperature after the decrease can be calculated as follows,
4°F - 15°F = -11°F
The total number of degrees the temperature must change for the thermometer to read 0°F can be calculated as follows,
-11°F + x = 0
x = 11°F
Hence, the temperature must increase by 11°F for the thermometer to read 0°F.
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Answer: 11’F
Step-by-step explanation:
4’F-15’F=-11
-11+11’F=0’F
the composer beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano). (a) how many ways are there to play first a beethoven piano concerto and then a beethoven symphony?
Using Permutations, we can calculate, there will be total of 45 ways to play first a beethoven piano concerto and then a beethoven symphony.
What is permutation?When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
Given,
symphonies = 9
piano concertos = 5
So, the ways to play first a beethoven piano concerto and then a beethoven symphony = ⁹P₁ × ⁵P₁
= 45ways
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