Answer:
38
Step-by-step explanation:
I'll say that Sana's age is A, Rabia's age is B, and Saleem's age is C.
A + B + C = 47
Three years ago, everyone was three years younger, so we can write the expression as:
(A-3) + (B-3) + (C-3) = x
x is the total age three years ago.
The above equation is the same thing as:
A + B + C - 9 = x
Since we know that A + B + C is 47, we use that number instead.
47 - 9 = x
38 = x
So three years ago, their total age was 38 years old.
Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the answer.
Answer:
2/8, 5/8
Step-by-step explanation:
[tex]\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}[/tex]
Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.
To add fractions with the same denominator just add the numerator, the denominator stays the same.
The fraction is 2/8 and the sum is 5/8.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
let the numerator be x when denominator is 8.
so, 1/4 = x /8
8 = 4x
x= 8/4
x= 2
Now, fraction resulted above is added with 3/8
2/8 + 3/8
= (2+3)/8
= 5/8
Hence, the sum is 5/8.
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The ratio of children to adults at a movie theater was 8:5. The theater sold 120 children tickets
that evening. How many adults attended the theater that night? How many tickets did the theater
sell altogether?
Answer:
75 adults
195 total tickets
Step-by-step explanation:
8:5
120:x
Choose the letter of the correct answer. Write your answer on the line before the number at the back
page write your solution.
1. Which of the following is NOT an algebraic expression?
A. 7x + y
B. 3(m-n)
C. 8+3=1
Da + b
2. Find the value of (1 - 5)2.
A. 36
B. 16
C. -16
D. -36
25
3. Evaluate:
22
A. 64
B. 32
C. 16
D. 8
4. In the expression, m2 - 3, if m= -2, then m-3 = ?
A.-7
B.-1
C. 1
D. 7
5. What is the value of 12 + 13?
A.1
B. 2
C. 3
D.5
6. If x = -2, what is the value of -5x2 ?
A. -20 B. -10 C. 10
D. 20
Answer:
1. C
2. -8 (there are no choices for this)
3. (no question here)
4. -5 (there are no choices for this)
5. 25 (there are no choices for this)
6. D
Step-by-step explanation:
Answer:
i dot know
Step-by-step explanation:
Arrange to Least to Greatest:
1.4, 0, 0.14, 1/4, 1, -1/4
the radius of a circle is 2 kilometers. What is the circles circumference. Use 3.14 for pie
Answer: 12.56
Step-by-step explanation:
y=ax with a>1
im very confused on what to do
Answer:
Step-by-step explanation:
‘a’ in this question is the slope of the line. Slope is (y2-y1)/(x2-x1) for any two points. We can see the line intersects the point (0,0) and (-10/9) so the slope is -10/9 which is less than -1 so
a<-1
Which data set COULD NOT be represented by the box plot shown? es ) A) {12, 5, 10, 7, 8, 14, 7, 10, 4, 13,9} B) {8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13) 0) 14,513, 8, 8, 10, 9, 11, 12, 7.41 D) {6, 4.7.9.8, 8, 12, 10, 12, 13, 13}
Answer: the answer is D
Step-by-step explanation: jus got it right on usa test prep :))
The data set which could not be represented by the box plot is
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}
Option D is the correct answer.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
From the box plot,
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
Now,
Arrange the number in order.
A)
{12, 5, 10, 7, 8, 14, 7, 10, 4, 13, 9}
= {4, 5, 7, 7, 8, 9, 10, 10, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
B)
{8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13)
= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
C)
{14, 5, 13, 8, 8, 10, 9, 11, 12, 7, 4 }
= {4, 5, 7, 8, 8, 9, 10, 11, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
D)
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}
= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 13}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 13
Minimum = 4
Thus,
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13} is not represented by the box plot.
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Simpify the expression.
5+4z-2z
Simpilfied expression
Answer:
2z + 5
Step-by-step explanation:
you have to combine like terms
subtract 4z - 2z and you get 2z
the number with the variable next to it goes first not the constant
2z + 5
the variable is z and the constant is 5 because it doesn't have variable next to it
hope this makes sense and helps :)
tell me if you have any questions
Step-by-step explanation:
Here as the like terms only are 4z and -2z so,
We simplify the like terms:
5 + 4z - 2z. [B.O.D.M.A.S rule] (subtraction only)
= 5 + 2z (Ans)
6(3y + 2) + 8(4y + 3) + 6y =
6(3y+2) + 8(4y+3) + 6y =
Distribute:
18y + 12 + 32y + 24 + 6y =
Combine like terms:
56y + 36
I need this done in 10mins
Answer:
Socko gained 3/5 kg from month 1 to month 2.
Step-by-step explanation:
Socko mass was 3/10 kg in month 1 and 9/10 kg in month 2.
The amount of mass he gained is k.
3/10 + k = 9/10
Subtract 3/10 from both sides.
k = 6/10
Reduce the fraction.
k = 3/5
Answer: Socko gained 3/5 kg from month 1 to month 2.
4/5 = 28/x
x=
i need to know what x =
Answer:
Hello! :) have a good day!
x = 35
4/5 = 28/35
The distance from New York City to Riverhead is approximately 150 miles. On a map whose scale is 24mi= 2inch, what is the distance between the two locations in inches?
Answer:
12.5 inches
Step-by-step explanation:
Given
[tex]Distance = 150\ miles[/tex]
[tex]Scale:= 24\ miles : 2\ inches[/tex]
Required
Determine the measurement in inches
Represent the inches equivalent with d.
So, the scale can also be calculated as:
[tex]Scale:= 150\ miles: d[/tex]
Equate both scales
[tex]150\ miles: d = 24\ miles ; 2\ inches[/tex]
Convert to fraction
[tex]\frac{d}{150\ miles} = \frac{2\ inches}{24\ miles}[/tex]
[tex]\frac{d}{150} = \frac{2\ inches}{24}[/tex]
Multiply both sides by 150
[tex]150 * \frac{d}{150} = \frac{2\ inches}{24} * 150[/tex]
[tex]d = \frac{2\ inches}{24} * 150[/tex]
[tex]d = \frac{2\ inches * 150}{24}[/tex]
[tex]d = \frac{300\ inches}{24}[/tex]
[tex]d =12.5\ inches[/tex]
A dealer gained a 10% profit by selling an article for Birr 330.00. what was original price of the article
Answer:
???????
Step-by-step explanation:
Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house?
Answer:
23952
Step-by-step explanation:
Answer:
23952
Step-by-step explanation:
so you would multiply 998 by 24 to get the answer
Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 800 gas stations, the mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was $0.008 per gallon. A random sample of size 45 is drawn from this population. What is the probability that the mean price per gallon is less than $2.812?
Answer:
0.0003 = 0.03% probability that the mean price per gallon is less than $2.812
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Finite correction factor:
If the sample is more than 5% of the population, instead of Central Limit Theorem, we use the finite correction factor, as the standard deviation of the sampling distribution would be too big.
The mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was $0.008 per gallon.
Large sample, so this can be treated as the population data. Then [tex]\mu = 2.816, \sigma = 0.008[/tex]
Sample of 45:
45/800 = 0.056 = 5.6% -> Sample more than 5% of the population, so we use the finite correction factor. This means that s will be multiplied by:
[tex]FCF = \sqrt{\frac{N-n}{N-1}}[/tex]
In which n is the size of the sample(45) and N is the size of the population (800). So
[tex]FCF = \sqrt{\frac{755}{799}} = 0.9721[/tex]
By the Central Limit Theorem, [tex]n = 45, s = 0.9721*\frac{0.008}{\sqrt{45}} = 0.00116[/tex]
What is the probability that the mean price per gallon is less than $2.812?
This is the pvalue of Z when X = 2.812. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2.812 - 2.816}{0.00116}[/tex]
[tex]Z = -3.45[/tex]
[tex]Z = -3.45[/tex] has a pvalue of 0.0003
0.0003 = 0.03% probability that the mean price per gallon is less than $2.812
what is 3,000 + 200 + .4 + .06 in standard from
Answer:
3,200.406
I think
Step-by-step explanation:
Answer:
Hello! :) have a good day!
3000 + 200 + .4 + 0.6 in standard form is 3201
Need number 11 and 10 all parts
two different ratios equivalent to 6:9
Answer: 2:3 and 12:18
Step-by-step explanation: Find the multiples of 6 and 9
Answer:
Following are ratios equivalent to 6:9
Step-by-step explanation:
1) 12:18
2)24:36
3)2:3
4)20:30
5)10:15
Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordinate of the vertex. = 3. Find the y-coordinate by evaluating the function at the x-value found in the previous step. The vertex is.
Answer:
a = 3
b = -6
-b/2a = 1
The vertex is (1, 10)
PLs help me I will give brainliest please dont answer if you don’t know
Answer:
Interest earned will be $1,118.00
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 6500 x .043 x 4
How much WORK is done when you push on a wall with 500 N, and the wall moves 0.5 m?
Answer:
the amount of work that is done when the wall is moving 0.5 m is 250 jewels
Step-by-step explanation:
1) write out the equation
(W=F×d)
2) plug in the numbers into the equation
W= F×d= 500 ×0.5 m
3) solve the problem
W=F×d=500 × 0.5m =250 jewels
The smallest angle of a triangle is measure x degrees. The second angle is 45 degrees more than the smallest angle. The third angle is three times larger as the smallest angle. Write algebraic expression to express measures of the second and third angles of the triangle.
Answer:
Smallest angle = 27°
Second angle = 72°
Third angle = 81°
Step-by-step explanation:
Given:
In triangle
Smallest angle = x
Second angle = x + 45
Third angle = 3x
Find:
All angle
Computation:
Using angle sum property
x + x + 45 + 3x = 180
5x + 45 = 180
x = 27
Smallest angle = 27°
Second angle = x + 45
Second angle = 27 + 45
Second angle = 72°
Third angle = 3x
Third angle = 3(27)
Third angle = 81°
find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet
Answer:
area = 4
Step-by-step explanation:
area = length × width
length= 3 1/3 =3/3 = 1 and width= 3
area = 1 × 3
= 4
Given the function rule f(x) = x2 - 5x + 1, what is the output of f(-3)? (1 point)
7
-5
25
5
Pls help !! Due in 30 minutes !! Seiko takes pottery classes from two different studios. Paula's Pottery charges $18 for clay and charges $10 per hour.
Sally's Ceramics charges $4 for clay and charges $12 per hour. After how many hours will the studios cost the same?
Can anyone answer this please
Answer:
A) 1
f(g(1)) = 1
Step-by-step explanation:
Step(i):-
Given that the functions are f(x) and g(x)
f(x) = 3√x +1
and y = g(x)
put x=1 ⇒ y = g(1) = 0 ( from graph 1 is mapping '0')
Step(ii):-
f(g(1) = f(0)
= 3√0 +1 (∵f(x) = 3√x +1)
= 1
f(g(1)) =1
Which ones are true and false? 5th grade problem. Correct answer will be marked brainliest.
Answer:
1. True
2. True
3. False
Step-by-step explanation:
1. As long as a few of the animals reproduce the species should survive unless a terrible tragedy were to happen and all of the species lie with a d because their food ran out or their predators Drilled with a k them all. Honestly I am not sure about this question that much an even though these are fifth grade problems I am in fifth grade right now so yeah.
2. I did a quick search about this and I also used some of my logic and it would not make since if animals were to hang out in dry vernal pools. Unless there are animals out in the world that like living in stead plants and dried up water it would not make much since to choose false.
3. Scientists knowledge are growing every day so it is impossible to know everything about one subject because there is always more to learn.
Melissa made a school banner that is 3 yards long in a 11 over 12 yards wide what is the area of the banner
Answer:
2 3/4
Step-by-step explanation:
So area is just base X height
3 X 11/12
2 3/4
A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile.
Answer:
The value that corresponds to the 75th percentile is 16.35.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A normal distribution has a mean of 15 and a standard deviation of 2.
This means that [tex]\mu = 15, \sigma = 2[/tex]
Find the value that corresponds to the 75th percentile.
This is X when Z has a pvalue of 0.75. So X when [tex]Z = 0.675[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 15}{2}[/tex]
[tex]X - 15 = 2*0.675[/tex]
[tex]X = 2*0.675 + 15[/tex]
[tex]X = 16.35[/tex]
The value that corresponds to the 75th percentile is 16.35.
How many cups of yogurt would 5 people get if they equally shared 3/4 cups of yougurt