The given problem is an algebraic equation where the daughter's age is denoted as 'x' and the father's age as '10x'. An equation is formulated to solve for 'x' based on future ages. The solution to the problem is that the daughter is 5 years old, and the father is 50 years old.
Explanation:The problem asked is a classic example of algebra problem solving. We are told that a father is 'ten times as old as his daughter', and in five years, 'he will be just five times as old as she will be'. Let's denote the daughter's current age as 'x'. Therefore, the father's current age will be '10x'.
In five years, the daughter will be 'x+5' and the father will be '10x+5'. At this future moment, the father is 'five times as old as the daughter', so we can create the equation: 10x + 5 = 5(x + 5). Solving this equation leads to 'x=5'. So, the daughter is 5 years old and the father is 50 years old.
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What is the m∠ACB? 10° 50° 90° 180°
Answer:
50°
Step-by-step explanation:
90 + 4x+ 7x - 20(+20) = 180 + 20
4x + 7x = 200 - 90
4x + 7x = 110
11x/11 = 110/11
X = 10
m∠ACB = 7x - 20 = 7(10) - 20 = 50
PLEASE HELP ASAP!
A probability close to _ indicates a chance event is most likely to occur.
A. 0
B. 1
C. 5
D. 10
E. 1000
Which set of numbers represents the lengths of the sides of a right triangle?
a. 5,10,15
b. 13,35,37
c. 9,40,41
d. 6,9,10
A video game was $38. This weekend the game will be marked 13 percent off. How much is the game this weekend?
The video game was originally $38. This weekend it is 13% off. After applying this discount, the game will cost $33.06.
Explanation:The subject of your question lies in the realm of Mathematics, specifically focusing on a practical application: calculating a discount. In this case, the video game was originally $38 and this weekend, there is a discount of 13%. Since the discount is a percentage off of the original price, you need to multiply $38 by 13% (or 0.13, when presented as a decimal).This operation gives us: $38 * 0.13 = $4.94.This means the discount is $4.94. To find out how much the video game costs after the discount has been applied, you need to subtract this amount from the original price of the game. Therefore, the price of the game this weekend will be: $38 - $4.94 = $33.06.
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How is the graph of y= 1/3x related to its parent function y=1/x
Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error and the correct experimental probability?
HERE IS THE CHART
| pages | 6th | 7th | 8th| {Grades}
| 75 pages | 24 | 18 | 22 |
| 100 pages | 22 | 32 | 24 |
| 150 pages | 30 | 53 | 25 |
Jennie incorrectly calculated the experimental probability of a 7th grader reading at least 100 pages per week. The correct calculation is the sum of 7th graders who read 100 and 150 pages, divided by the total number of 7th graders, resulting in an experimental probability of 85/103.
Jennie's error lies in calculating the experimental probability that a 7th grade student reads at least 100 pages per week incorrectly. To find the correct experimental probability, we need to add the number of 7th graders reading 100 pages and those reading 150 pages, then divide by the total number of 7th graders. According to the chart, 32 read 100 pages and 53 read 150 pages. The total number of 7th graders is the sum of students reading 75, 100, and 150 pages, which is 18 + 32 + 53 = 103. So, the correct experimental probability is (32 + 53) / 103 = 85 / 103.
The radius of the earth's orbit is 45,000,000 meters. What is the number in scientific notation?
A) 4.5 x 10-7
B) 4.5 x 107
C) 45 x 10-6
D) 45 x 106
The mean of 4 numbers is 22. What would the new mean be if the number 18 is added to the data set?
A. 17.2
B. 40
C. 21.2
D. 26.5
Which answer describes the transformation of f(x)=x2−1 to g(x)=(x−1)2−1 ?
a vertical translation 1 unit up
a vertical translation 1 unit down
a horizontal translation 1 unit to the right
a horizontal translation 1 unit to the left
for the diagram below which equation is the correct use of the distance formula
the last one D is
D= √(11-6)^2 + (5-y2)^2
Answer: The correct equation is,
[tex]6.71=\sqrt{ (11-5)^2+(y_2-6)^2}[/tex]
Step-by-step explanation:
If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of a line segment,
Then by the distance formula,
The length of the line segment is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, (5,6) and (11, [tex]y_2[/tex] ) are the endpoint of the line segment which has the length 6.71,
Thus, d = 6.71, [tex]x_1=5[/tex] [tex]y_1=6[/tex], [tex]x_2=11[/tex]
[tex]\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2[/tex]
Which is the required equation.
Kelly has 236 feet of fence to use to enclose a rectangular space for her dog. She wants the width to be 23 feet. Draw a rectangle that could be the space for Kelly's dog. Label the length and the width.
Final answer:
To create the space for Kelly's dog, a rectangle with a length of 118 feet and a width of 23 feet should be drawn.
Explanation:
To draw a rectangle that could be the space for Kelly's dog, we need to consider the given information. Kelly has 236 feet of fence to use, and she wants the width to be 23 feet.
Since the opposite sides of a rectangle are equal in length, we can divide the total amount of fence by 2 to determine the length of each side. 236 feet / 2 = 118 feet.
So, the rectangle that could be the space for Kelly's dog would have a length of 118 feet and a width of 23 feet.
Which it true about modeling a solution to an addition problem on a vertical number line?
A. When adding a negative number, you move down
B. When adding a positive number, you move down
C. Locating the sum is not necessary.
D. Locating the sum is the first step
Answer:
A. When adding a negative number, you move downStep-by-step explanation:
Actually, according to transformation of functions, there's two types of transformation, those that only involve translation, and those that change the dimension of the function.
In this case, modelling a solution to an addition problem, we know that adding a negative number, the function will move downs, because in that case we will be transformation or "changing" the y-variable, that's why it will move vertically.
Therefore, the right answer is A.
a basketball court is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. What is the width and length of the basketball court?
find by completing the square
a normal distribution pf data has a mean of 15 and a standard deviation of 4 how many standard deviations from the mean is 25
Answer:
c 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
:)
Please help me! Show work thank you so much
two more than the product of a number and 8 is 5
The unknown number is [tex]\( \frac{3}{8} \).[/tex]
Let's solve the problem step by step.
Given: Two more than the product of a number and 8 is 5.
Let's denote the unknown number as [tex]\( x \)[/tex].
According to the problem, we can express the given condition in an equation:
[tex]\[8x + 2 = 5\][/tex]
To find the value of [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We'll begin by subtracting 2 from both sides to get rid of the constant term on the left side:
[tex]\[8x = 5 - 2\][/tex]
[tex]\[8x = 3\][/tex]
Now, to solve for [tex]\( x \)[/tex], we'll divide both sides of the equation by 8:
[tex]\[x = \frac{3}{8}\][/tex]
So, the solution to the equation is [tex]\( x = \frac{3}{8} \).[/tex]
Now, let's provide a brief explanation:
The equation [tex]\(8x + 2 = 5\)[/tex] is formed based on the given problem statement. By subtracting 2 from both sides and then dividing by 8, we isolate the variable [tex]\( x \)[/tex] to find its value, which is [tex]\( \frac{3}{8} \).[/tex]
Thus, the correct answer is:
[tex]\[ x = \frac{3}{8} \][/tex]
Complete question:
Two more than the product of a number and 8 is 5
how many solutions does this system of equations have?
y= -3x + 7
y= -3x -6
choices
a. infinitely many
b. 2
c. 1
d. 0
What best describes the expression y over 3?
A. 3 more than some number
B. Some number times 3
C. Some number divided by 3
D. 3 less than some number
First, I would like to know what is means when someone asks you to find the Means-To-Mad Ratio. I do not know what a Means-To-Mad Ratio is.
Second, can someone please answer this problem?
1. {15, 16, 17, 17, 17, 17, 18, 19}
2. {12, 13, 13, 14, 14, 14, 16, 16}
Calculate the means-to-MAD ratio for the two number sentences above.
Thank you.
Which is the graph of the function f(x) =1/2x^2-6
Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1, and the average expenses incurred on accidents is $38,000. The insurance plan has a yearly premium of $1,000 and a deductible of $4,000.
If after 4 years of insuring 100 people, 9 motorcycle drivers had an accident, where does the company stand after money has been taken in and paid out for this group of 100 insured people?
$85,500
-$36,000
$94,000
$58,000
Answer:
The correct option is $94,000
Step-by-step explanation:
Yearly premium under the insurance plan = $1,000
Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000
Number of people insured = 100
Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000
Average expenses incurred on accident = $38,000
Deductible = $4,000
Net expenses incurred per accident = $38,000 - $4,000 = $34,000
In 4 years , 9 motorcycle drivers had an accident
Total expenses incurred for accident = $34,000 * 9 = $306,000
Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000
Hope it helps.
Thank you !!
which expression is equivalent to 2(-3x + 5)?
Answer:
10 - 6x
as 2 x 5= 10
and 2 x 3 = 6
therefore ans:
10 - 6x
Step-by-step explanation:
using the distributive property,which of the following expression is equivalent to 4(3+4y) 12+16y,12+4y,7+4y,7+8y
Find the distance between -3 and 4.
A) -12
B) -7
C) -1
D) 7
Answer:
i just did it its positive 7
Step-by-step explanation:
Robin tosses two number cubes 100 times and get a pair of 3s 18 times. What is the probability that she will roll a pair of 3s on her next toss?
Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50
Realy Need this Right away
Are these two triangles similar? How can you tell?
I’m not sure this I’m so confused in algebra