Answer:
[tex]\sf 22\dfrac{1}{2}\; years[/tex]
Step-by-step explanation:
[tex]\textsf{First convert all mixed fractions to improper fractions: }\\\\3\dfrac{2}{3} = \dfrac{3 \times 3 + 2}{3}= \dfrac{11}{3}\\\\18\dfrac{5}{6 } = \dfrac{18 \times 6 + 5}{6} = \dfrac{113}{6}[/tex]
Let Carlo's age be C
Carlo's age = sister's age + 11/3
[tex]\sf == > C = \dfrac{113}{6} +\dfrac {11}{3}\\\\\textsf{Multiply both sides by 6 to eliminate the denominator}\\\\\sf 6C = 6\cdot\dfrac{113}{6} + 6\cdot\dfrac {11}{3}\\\\[/tex]
[tex]\sf == > C = \dfrac{113}{6} +\dfrac {11}{3}\\\\\textsf{Multiply both sides by 6 to eliminate the denominator}\\\\\sf 6C = 6\cdot\dfrac{113}{6} + 6\cdot\dfrac {11}{3}\\\\\sf 6C = 113 + 22 = 135\\[/tex]
[tex]\textsf {Divide both sides by 6}\\\\\sf C = \dfrac{135}{6} \\\\\textsf {Reduce $\dfrac{135}{6}$ by dividing numerator and denominator by 3}\\\\== > C = \dfrac{135 \div 3}{6\div3} = \dfrac{45}{2}[/tex]
[tex]\textsf{So Carlo's age is $\dfrac{45}{2}$ or $22\dfrac{1}{2}$ years}[/tex]
work out 5 x 6 /7-3+2
Answer:
5
Step-by-step explanation:
First we'd need to solve 5 x 6. When we solve 5 x 6 we'd get the answer 30. Then do 7 - 3, when we solve that we'd get the answer of 4. Now we add 4 with 2 and we'd get 6. Now we get the 30 and divide it with 6 and get our answer as 5. Therefore our final answer is 5.
I hope this helps, have a blessed day! :)
the function f(x)=(4x-8)^2 is the image of g(x)=x^2 after a set of transformations have occurred. which of the following describes the transformation that occurred to g(x)
The transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units
How to describe the transformation that occurred to g(x)?The equation of the functions are given as
f(x)= (4x - 8)^2
g(x) = x^2
Start by stretching the function g(x) horizontally by a scale factor of 4
This is represented as
g'(x) = g(4x)
So, we have
g(4x) = (4x)^2
This gives
g'(x) = (4x)^2
Next, we translate the function down by 8 units
This is represented as
f(x) = g'(x - 8)
So, we have
f(x) = (4x - 8)^2
Hence, the transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units
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Is -5 3/11 greater than or less than -5.2
Answer:
Yes.
Step-by-step explanation:
-5 3/11 is equal to -5.27 repeating therefore, it is greater than -5.2. Hope this helps. :)
Simplify 2x+3y-2(x-y2)
Answer:
7y
Step-by-step explanation:
2x + 3y -2(x - 2y)
2x + 3y - 2x + 4y
2x - 2x + 3y + 4y
3y + 4y
7y
*Please mark brainliest answer
A new observed data point is included in set of bivariate data. You find that
the slope of the new regression line has changed from 1.7 to 1.1, and the
correlation coefficient only changed from +.60 to +.61. This new data point is
probably a (an):
A. predicted (y) value.
B. residual.
C. influential point.
D. outlier.
4
SUBMIT
New data point is residual.
When a data point is added or removed from the whole dataset, it might cause a significant change in the regression equation by either changing the slope or the relationship coefficient existing between the variables.
An influential point is one that changes the relationship existing between the dependent and the independent variables significantly in either direction.
Since the new observed data point decreases the slope of the regression line but increases the correlation coefficient existing between the independent and the dependent variable, we can probably say that the new data point is an influential point.
Thus, Option B. is correct.
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He can you
find the cost C of downloading n sounds for n>1
Answer:
can you respond and explain more
Step-by-step explanation:
In a class of 32 students
The mean height of the 14 boys is 1.56 meters
The mean of all students is 1.515 meters
Work out the mean height for the girls
When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.
How can the mean height for the girls be calculated?From the question, we were given total number of students as 32
But the mean can be calculated as the ratio of all the sum of all the data to the total number of data,
the total height of all students= (32*1.56)=48.48
total height of 14 boys=(14*1.56)=26.64
number of girls is (32-14)=18
The mean height for the girls will be (26.64/1118)=1.48
Therefore, When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.
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NOTE; This is a complete question , no given option , even on internet.
√20 4 1/2 less or grater than or equal to 
Answer: I'm not sure what the full question was
Step-by-step explanation:
solve the quadratic equation 6xsquared -13x-5
Answer:
23x - 5
Step-by-step explanation:
6x X 6x would be 36x
36x - 13x = 23x
23x-5 cannot be further simplified
Chloe brought 1.2 x 10^2 paper plates and 5.04 x 10^3 napkins for her restaurant. She wondered ''How many times as great as the number of paper plates i brought was the number of napkins?
Explain how you know if the exponent to the answer will be positive or negative.
How many times as great as the number of paper plates Chloe brought was the number of napkins?
Answer:
Step-by-step explanation:
For the following polynomial, one zero is given. Find the remaining zeros.
P(x) = x4+ 16x²-225, 5i is a zero.
What are the three ways to represent a proportions
Answer: Product of extremes (numbers on extreme edges) = product of means i.e., ad = bc
a, b, c, d,…. are in continued proportion means, a:b = b:c = c:d
a:b = b:c then b is called mean proportional and b2 = ac
The third proportional of two numbers, a and b, is c, such that, a:b = b:c
d is fourth proportional to numbers a, b, c if a:b = c:d
Step-by-step explanation:
Answer: GoodMorning: ) ✨ According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol '::' or '='. For example, 2:5 :: 4:8 or 2/5 = 4/8.
Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Example : If we buy two pen for 50 Rs. It will cost us 100 Rs for four pen. Two values x and y are said to be inversely proportional to each other when the ratio x:y1 always remains the same.
Hope This Helps <3
Step-by-step explanation:
You own 24 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?
Answer:
I want to say you have a 6/24 chance.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The total number of CD is given as: 24
7(10+4) parts of sum
Answer:
98
Step-by-step explanation:
(10+4) = 14
14 x 7 = 98
∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 65^\circ65
∘
65, degrees.
What is the measure of \angle x∠xangle, x?
Answer:
angle x = 115 degre
Step-by-step explanation:
hey I think you are asking for angle x
since y is supplementary to x
y+x=180 ( because they are supplementary)
65 +x = 180
x= 180-65
x=115
daniel's parents spent $160 to rent a bounce house for 8 hours. How much is the hourly rate for the rental? I NEED HELP FAST!!!!!!! WILL GIVE 100 POINTS I PROMISE!!!!!
Answer: $20 per hour
Step-by-step explanation:
To find the hourly rate, simply divide the total cost by the amount of hours that the object was rented(same for unit price).
160/8=20
The hourly rate for the bounce house rental is $20.
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid for each job. At the beginning of the month, Tim has $50. He mows 2 lawns and washes 1 car. Then, he buys two video games that cost $15 each and a sweatshirt that costs $35. Write an addition equation using integers to represent the situation. How much money does Tim have left?
Based on the amount that Tim had at the beginning of the month, the mowing of the lawn and washing of the car, the equation that represents the situation is b. 50 + 12 + 12 + 9 + (-15) + (-15) + (-35).
The amount of money that Time has left is $18
How to find the amount left?Tim gets $12 for every lawn he mows and $9 for every car he washes.
The amount he gets is:
= Amount started with + payment for mowing lawn + payment for mowing another lawn + payment for car wash
= 50 + 12 + 12 + 9
When the expenses of the video games and sweatshirt are thrown in, the formula becomes:
= 50 + 12 + 12 + 9 + (-15) + (-15) + (-35)
The amount that Tim is left with is:
= 50 + 12 + 12 + 9 + (-15) + (-15) + (-35)
= $18
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order from least to greatest )
-3/4, 0, 3, 0.75, 1.8, 3.5
tysm <3
Answer:
-3/4 = -0.75
-0.75, 0, 0.75, 1.8, 3, 3.5
Hope this helps!
When Kiran moved into a new house, he planted two trees in his backyard. At the
time of planting, Tree A was 33 inches tall and Tree B was 15 inches tall. Each year
thereafter, Tree A grew by 4 inches per year and Tree B grew by 7 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree B t years after being planted. Write an equation for each situation, in
terms of t, and determine the interval of time, t, when Tree A is taller than Tree B.
PLEASE HELP ASAP 40 POINTS
The mistake made by the student was using the composition f ° g(x) instead of g ° f(x). The correct form is g( f(0)) = - 9 / 2.
How to find the procedure error associated to a composition of functions
In this question we find two functions, with which we should perform an operation known as composition. Composition consists in substituting the input of a function by the other function. The operation is defined by the following expression:
f ° g (x) = f [g (x)]
Herein we must determine the mistake done by the student on the composition. If we know that f(x) = (3 · x - 7) / 4, g(x) = 2 · x - 1 and x = 0, then the value of g(f (0)) is:
g ° f (x) = g (f (x))
g ° f (x) = 2 · [(3 · x - 7) / 4] - 1
g ° f (x) = (3 · x - 7) / 2 - 1
g ° f(x) = (3 / 2) · x - 7 / 2 - 1
g ° f(x) = (3 / 2) · x - 9 / 2
g ° f(0) = (3 / 2) · 0 - 9 / 2
g ° f(0) = - 9 / 2
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find the length of a side of a square for the area given 100/9 square meters
Answer: A side of a square for the area given 100/9 square meters, then length = 3.33 meters .
Step-by-step explanation:
The area of a square is (100/9) cm.
So, find out the length of the square?
Then,
Define Square:
A square is closed, two-dimensional shape with 4 equal sides. A square is a quadrilateral. We can find the shape of a square in a game board or chess board, a wall clock and in a slice of bread, around us.
The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.
Define Area of Square:
Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units with the standard unit being square meters (m²).
The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.
Area of a Square = Side × Side
Therefore, the area of square = side² square units
A = s²
Means, A= area of square
You have the area so you need to find the side length that when multiplied by itself equals that area. If you don’t know what number squared is (100/9) you can plug and chug or use a calculator with square roots.
Replace with A=(100/9) values,
We can write,
A = s²
(100/9) = s²
Then we can solve it,
[tex]\sqrt{100/9}[/tex] = s
[tex]\sqrt{\frac{(10^{2}) }{3^{2} } }[/tex] = s
We can write, [tex]\sqrt{10^{2} }[/tex] = 10 , and [tex]\sqrt{3^{2} }[/tex] = 3
Then,
(10/3) = s
Therefore, s = (10/3)
s = 3.33 meters
So, length = 3.33 meters
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What is the simplified expression for-3cd - d (2c-4)- 4d?
Find the midpoint of a line segment with endpoints at left parenthesis negative 5 comma negative 4 right parenthesis and left parenthesis 7 comma space 6 right parenthesis.
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 7 -5}{2}~~~ ,~~~ \cfrac{ 6 -4}{2} \right) \implies \left(\cfrac{ 2 }{2}~~~ ,~~~ \cfrac{ 2 }{2} \right)\implies (1~~,~~1)[/tex]
Paul had 84 fliers to post around town. Last week he posted 1/6 of them. This week, he posted 4/7 of the remaining fliers. How many fliers has he still not posted?
The number of fliers that he has not posted is 8
What is proportion?Proportion can be defined as the mathematical comparison of two elements or numbers.
From the information given, we have that;
Total number of fliers is 84First week, 1/6 of the floors were postedThis week, 4/7 of the remaining were posted.To determine the number of fliers remaining, we have that;
Remaining fliers for the First week
= 84 × 1/6
Multiply and find the quotient
= 14 fliers
Fliers remaining after the last week
= 14 × 4/7
Multiply and find the quotient
= 56/7
= 8 fliers
Thus, the number of fliers the he has not posted is 8
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Write the statement "the sum of a number and 17.3 is at least −2.8" as an inequality.
−2.8 + b > 17.3
b + 17.3 ≥ −2.8
b + 17.3 ≤ −2.8
−2.8 + b < 17.3
The linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is b + 17.3 ≥ - 2.8 which is option B
We are given that the sum of a number and 17.3 is at least −2.8 and we have to form a linear inequality from the information provided
Let the number be b
so, the sum of two numbers would be
b + 17.3
It is given that the sum should be at least - 2.8
this means the sum is either equal to - 2.8 or sum is more than -2.8
So, the linear inequality equation comes to be
b + 17.3 ≥ - 2.8
Hence, the linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is b + 17.3 ≥ - 2.8 which is option B
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Answer:
b
Step-by-step explanation:
gimmeeeeee 10000 pointttsss.
what is 5/7 of 4/5 of 28/29
Answer: The least common denominator (LCD) is 1015.
A mole is a unit of measurement in chemistry. If 1 mole contains 6.02×1023 particles, how many particles are in 12 of a mole?
The number of particles which are in 12 moles of any substance given the premise that; 1 mole contains 6.02×1023 particles is; 7.224 × 10²³.
What is the number of particles in a separate substance given that one mole contains 6.02×10²³ particles?It follows from the task content that 1 mole contains 6.02×1023 particles, and hence, the number of particles in 12 moles is to be determined.
On this note, it follows from proportion that since 1 mole contains 6.02×1023 particles, then, the number of particles is 12 moles is;
= 12 × 6.02 × 10²³
= 72. 24 × 10²³
= 7.224 × 10²³.
Ultimately, The number of particles which are in 12 moles of any substance given the premise that; 1 mole contains 6.02×1023 particles is; 7.224 × 10²³.
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Ken’s seventh grade class plans to collect empty aluminum pop cans as a fund raiser to buy two new books for the school library. The books will cost a total of $50. a. If $0.25 per pound is the current price for aluminum at the recycling center, how many pounds of empty cans will the class have to collect?
It is important to have C=200 pounds of empty cans, which is the amount of weight in pounds that the class needs to collect.
This is further explained below.
How many pounds of empty cans will the class have to collect?Generally, the equation for empty cans is mathematically given as
C= books total cost/ current price
Therefore
[tex]C=\frac{50}{(\frac{1}{4})}[/tex]
C= 200
In conclusion, the pounds of empty cans the class has to collect is
C=200 pounds are needed.
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If entertainment is represented by 72° on a circle graph showing all expenses and the cost of entertainment is $225, how much are the total expenses?
The cost of total expenses from the circular graph is $888.
What is termed as the unitary method?The unitary method calculates the value of one unit given a multiple. Furthermore, once we've determined the value of an only one unit, we can multiply that value by the number of units needed. This method is commonly used to demonstrate the concept of ratio and proportion.The entire angle on the circular graph is represented by 360°.
The total entertainment is given by 72°.
Then the cost is given by; 360 - 72 = 288°
Use unitary method-
As,
72° represents $225.
Then, 1° given the amount = 225/72
Now, for the value of 288° = 225×288 / 72
= 888
Thus, the total expenses costs $888.
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Find the measure of the supplementary angles that satisfy each case. m<1 is less than m<2 by 40 degrees
Answer:
One angle is 70 and the other angle is 110
Step-by-step explanation:
x + 40 = y
x + y = 180 Supplemental angles add to 180
Substitutes x + 40 into the second equation by y
x + x + 40 = 180 Combine like terms
2x + 40 = 180 Subtract 40 from both sides
2x = 140 Divide both sides by 2
x = 70
Substitute in 70 for x in either of the original 2 equations
x + y = 180
70 + y = 180 Subtract 70 from both sides
y = 110
m1=70
m2=110
supplementary angles are two angles that add up to 180 so all you need to do is make an equation to find the answer.
we can make m1=x and m2 = y
x is less than y by 40 degrees so y-40=x
then we use the equation x+y=180 and replace x with what we found out and solve for y.
(y-40)+y=180 ---> 2y -40 = 180 ---> 2y = 220 ---> y=110
x+y=180 ---> x+110=180 ---> x=70