The present age of the man is 70
What are the linear equations that represent the question?a = 2b equation 1
105 = a + b equation 2
Where:
a = man's age b = sum of his son's ageWhat is the man's present age?Substitute for a in equation 2
105 = 2b + b
105 = 3b
3b = 105
b = 35
Substitute for b in equation 1 : a = 2 x 35 = 70
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 8
Blue 4
Green 17
Yellow 15
Purple 3
Based on these results, express the probability that the next spin will land on red or blue or green as a decimal to the nearest hundredth.
Complete the equivalent ratio diagram to find cheese stick
Answer:
The blank on the top is 0.31 because that is what you multiply 80 by
The blank in the middle is 24.8 because that's what you get when you multiply 80 by 0.31
The blank on the bottom is 0.31 because that is what you multiply 80 by
Step-by-step explanation:
Use proportions to solve
80/100 = x / 31
80*31 = 100x
2480 = 100x
x = 24.8
Mrs. Lee just bought a new rug. The rug is 7 feet long and 8 feet wide. What is the area of her rug?
Question 7 (1 point)
What is the value of "b" in the following quadratic? (Make sure the equation is in
standard form: ax^2 + bx+c=0)
4x^2 = 36
Answer:
0
Step-by-step explanation:
4x²=36
=> 4x²+0x-36=0
if we look at the standard form
before the x is b I the standard form and in the question 0 is before the x because their isn't an x. this makes a= 4, b=0 and c=-36
What is the distance from the origin to point P graphed on the complex plane below?
Madison invests money in an account paying a simple interest of 3.2% per year.If she invests $160 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
The amount of interest she will earn in one year will be 5 dollars and 12 cents.
What is Simple interest?The normal interest levied on the amount borrowed from any bank on a yearly basis is called the simple interest.
Given that:-
The interest of 3.2% per yearInvests $160 and no money will be added or removed from the investment.The simple interest amount will be:-
SI = ( P x R x T ) / 100
SI = ( 160 x x 3.2 x 1 ) / 100
SI = $5.12
Therefore the amount of interest she will earn in one year will be 5 dollars and 12 cents.
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Cost price= $350 and selling price= $400. find the profit percent.
[tex]\large\boxed {Formula:Profit\% = \frac{(SP - CP)}{CP} \times 100}[/tex]
First, we'll have to deduct the cost price (350) from the selling price (400).
[tex]400 - 350[/tex]
[tex] = 50[/tex]
Now, we'll have to divide the deducted amount (50) by the cost price (350) and multiply by 100.
[tex] \frac{50}{350} \times 100[/tex]
[tex] = 14.28571429 \: \%[/tex]
= 14.3%
Hence, the profit is 14.3%
400-350/350*100
=14.3%
Evaluate the following expression.
4+24
A bus travels 9 miles north
and 4 miles west from its
original location.
How far is the bus from its
original location?
Answer:
3 miles?
Step-by-step explanation:
A Crime scene investigator arrived at an auto accident to collect information. A car had hit a pedestrian sending a box he was carrying into the air. Luckily, the pedestrian was unharmed. In order to determine the speed the car was travelling at impact, the investigator needs to find out how high the box went into the air. Here aare the notes that he took from the scene. A 5 foot tall witness said that he saw the box fly up just above a tree next to where the accident happened. He was standing 25 feet from a tree. The angle of elevation as the witness looked up at the tree was 45. Determine the height of the tree, which will tell you the height the box flew into the air.
Answer:
no the height of the tree doesnt determine the heiht of the box, thatd be a pretty large box if so
i don’t understand how to find x
What is the perimeter of the rhombus?
Answer:
20
Step-by-step explanation:
pythagorean theorum
a^2+b^2=c^2
4^2+3^2=c^2
16+9=25
[tex]\sqrt{25}[/tex]=5
5*4=20
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
Area = 67.5 m²
Perimeter = 69 m
Step-by-step explanation:
Area of triangle:b = 27 m & h = 5 m
[tex]\sf \boxed{\text{\bf Area of triangle =$\dfrac{1}{2}bh$}}[/tex]
[tex]\sf = \dfrac{1}{2}*27*5\\\\ =\dfrac{135}{2}\\\\= 67.5 \ m^2[/tex]
Perimeter of triangle:Perimeter = sum of all sides
= 27 + 34 + 8
= 69 m
what is x+x+x+x+x+x+x+x+x+x+b+b+b+b+3=
Answer:
10x+4b+3
Step-by-step explanation:
x+x+x+x+x+x+x+x+x+x+b+b+b+b+3
There are 10 x
4 b
and one number
10x+4b+3
Answer:
10x+4b+3
Step-by-step explanation:
x+x+x+x+x+x+x+x+x+x+b+b+b+b+3
So when we add them we get 10x and 4b, which makes the equation
=> 10x+4b+3
Suppose that scores on a knowledge test are normally distributed with a mean of 60 anda standard deviation of 4.3. Scores on an aptitude test are normally distributed with a mean of 110 and a standard deviation of 7.1 Boris scored a 67 on the knowledge test and Callie scored 119 on the aptitude test. (a) Calculate the z-score for Boris. Round to the nearest hundredth. Show your work (b) Calculate the z-score for Callie. Round to the nearest hundredth. Show your work. (c) Who did relatively better on their test, Boris or Callie? Use the meaning of z-scores to explain
The Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.
What is Z-test?The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.
We know the formula for the Z-test:
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
(a) For Boris:
[tex]\rm Z = \dfrac{67-60}{4.3}[/tex]
Z = 1.627
(b) For Callie:
[tex]\rm Z = \dfrac{119-110}{7.1}[/tex]
Z = 1.267
(c) Since the measures of two different data have been set to one measure and the value of the Z-score for Boris is higher relative to the Z-score value of Callie so Boris scored higher relatively.
Thus, the Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.
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Nine seconds elapsed from the time Mark saw the lightning until he heard the thunder. The lightning was about how many kilometers from Mark? (Sound travels about 331 meters per second in air.)
6) write 36 + 60 as a product using the gcf as one of the factors.
36 + 60 =
?
?
+ ?
help math grade 8 find the derivatives
Answer:
1. 7x^6
2. 25x^4
3. -3x^-4
4. -4x^-3
5. 20x
Step-by-step explanation:
Multiply the power by the coefficient, answer is your new coefficient. then reduce the power by 1.
Please Answer This Ixl Asap!
Answer:
Perimeter = 90
Step-by-step explanation:
We're going to start with HI and go around the circle (and triangle, clockwise) see image. HI is 11. From H to G, then also has to be 11.
Subtract 26 - 11 to find LG. LG is 15.
If LG is 15, then LK is also 15. Subtract 34 - 15 to find JK.
JK is 19, so JI is also 19.
Two sides of the triangle are 34 and 26. The other side is 19+11=30.
Perimeter = 34+26+30
= 90
PLEASE HELP!!!!!! ASAP
Answer:
It's b
Step-by-step explanation:
Can someone please help with my
Answer:
40%
Step-by-step explanation:
see photo for explanation of answer
Which equation represents a circle that contains the point (–2, 8) and has a center at (4, 0)? distance formula: startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot (x – 4)2 y2 = 100 (x – 4)2 y2 = 10 x2 (y – 4)² = 10 x2 (y – 4)² = 100
The equation of a circle that contains the point (–2, 8) and has a center at (4, 0) is (x - 4)² + y² = 10²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle contains the point (–2, 8) and has a center at (4, 0), hence:
[tex]radius=\sqrt{(0-8)^2+(4-(-2))^2}=10\ units[/tex]
The equation is:
(x - 4)² + (y - 0)² = 10²
(x - 4)² + y² = 10²
The equation of a circle that contains the point (–2, 8) and has a center at (4, 0) is (x - 4)² + y² = 10²
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Answer:
A
Step-by-step explanation:
the first one is the answer
A square has a perimeter of 144. what is the length of each side?
[tex]~~~~~~~~\text{Perimeter of square} = 144\\\\\implies 4 \times \text{Side} = 144\\\\\implies \text{Side} = \dfrac{144}4\\\\\implies \text{Side} = 36\\\\\text{Hence the length of each side is 36 units.}[/tex]
Answer:
36
Step-by-step explanation:
In a Square,
perimeter (p) = 144
Length of side (L) = ?
we know,
p=4*L
144 = 4 *L
L = 144/4
L = 36
Since, All side of Square are equal . so,the length of each side is 36.
Note : you hadn't give unit in your question .
please help! im a bit confused on this
If a fair die is rolled 7 times, what is the probability, rounded to the nearest thousandth, of getting at least 4 threes?
Answer:
0.904
EX ; Each time the die is rolled, there are only two possible outcomes, either the result is a 2, or it is not. The result on a roll is independent of any other roll, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
- The parameters are:
x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.
In this problem:
- The die is rolled 7 times, hence .
One out of the 6 sides is a 2, hence
- Then:
0.905 = 90.5% probability of getting at most 2 twos.
Here’s question two pls help
Answer:
Lake A
Step-by-step explanation:
FIrst off I am not sure how this connects with the lake but based on what I have seen and learned so far I would say that the Answer to #3 on the last question is Lake A and for the second part based on the data set I am unsure of how to do that but at least u got the answer to #3? sorry if this is no help.
Answer:
Total is 24
HALF THE TOTAL- 12
Impossible event- Picking a black marble
Certainty- Picking either one of a green, red, or blue marble
As likely as not event would be picking a blue marble(probability of that is 12/24= 1/2)
More likely than not event would be picking either a red or blue marble whose probability in total is 18/24= 3/4.
Unlikely event- You not picking anything at all
Step-by-step explanation:
Hi. Took me some time to attempt all problems, but the key to solving these problems is to ahve a firm foundation of basic probability. Things like likeliness and unlikelieness are all outskirts of probability, so I would reccomend getting yourself familiar with those basics. You GOT THIS!
Translate triangle ABC by the directed line segment from D to E. You may use digital tools or draw your answer and embed a screenshot of your work.
If you can observe
AB=BC=ACABC is an equilateral triangle
so
∆DEB is also equilateral triangle
DE=BD=BE=3.5How many different possible outcomes are there when five separate coins are tossed?
A. 16
B. 32
C. 8
D.4
(Essay Worth 10 points) Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per day (rounded to the nearest hour):
Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct—Meg or Tara? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
The claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.
What is mean of the data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The data which is collected from two random samples of a total 500 American students on the number of hours spend in school per day.
The mean of the data from sample A and B is,
[tex]\text{Mean}=\dfrac{4(70+80)+5(100+90)+6(125+120)+7(135+125)+8(70+85)}{70+80+100+90+125+120+135+125+70+85}\\\text{Mean}=\dfrac{6080}{1000}\\\text{Mean}=6.08[/tex]
The mean is approx 6 hours in school each day.
Now, Meg concludes that mean of students is 7 hours in school each day while Tara thinks the mean is 6 hours.
Thus, the claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.
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Plot the zeros of this function:
f(x)=(x-1)(x-7)
Answer:
The zeros of this function are x=(1,7)
Step-by-step explanation: