Answer:
36years
Step-by-step explanation:
Let charity present age be x
Charity daughter present age be y
Charity husband present age be z
If the sum of their ages ten years to come is 117, then;
10+x+10+y+10+z = 117
30+x+y+z = 117
x+y+z = 87 ... 1
If charity is four times as old as her daughter, then;
x = 4y
y = x/4 ... 2
If she is also six years younger than her husband, then;
x = z- 6
z = x+6 .. 3
Substitute 2 and 3 into 1;
x + x/4 + (x+6) = 87
Multiply through by 4
4x + x + 4(x+6) = 4(87)
5x+4x+24 = 348
9x = 348 - 24
9x = 324
x = 324/9
x = 36
hence Charity is 36years old today
Evaluate: 63 + 7 X 4
Answer:
91
Step-by-step explanation:
Multiplication first, so 7x4 = 28
28+63=91
Answer:
91
Step-by-step explanation:
multiply the numbers
7×4=28
63+28=91
add the numbers
91
To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. What is the area of a triangle with a base of 6 centimeters and a height of 8 centimeters?
Answer:
Step-by-step explanation:
½×6×8 = 24 cm²
Matteo wants to write a statement that can be represented by the inequality p less-than 9. Which describes the correct method to write a statement to match this inequality?
Use the inequality symbol to determine the relationship between the variable and the constant. Decide what the variable will represent. Decide what the constant will represent. Write a statement using the same relationship. An example is “Alva spent more than $9.”
Decide what the variable will represent. Decide what the constant will represent. Write a statement using the same relationship. An example is “Alva spent less than $9.” Use the inequality symbol to determine the relationship between the variable and the constant.
Decide what the variable will represent. Decide what the constant will represent. Use the inequality symbol to determine the relationship between the variable and the constant. Write a statement using the same relationship. An example is “Alva spent less than $9.”
Decide what the variable will represent. Decide what the constant will represent. Use the inequality symbol to determine the relationship between the variable and the constant. Write a statement using the same relationship. An example is “Alva spent more than $9.”
Answer:C
Step-by-step explanation:
On edgeinuety
Answer:
It is indeed C.
Step-by-step explanation:
What is a chi-squared test?
Answer:
A chi-squared test, also written as χ² test, is a statistical hypothesis test that is valid to perform when the test statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof.
I hope it's helpful!
There are 20%, percent more goblins than wizards in magic club. There are 120 goblins in magic club.
How many wizards are in the magic club?
Answer:
100
Step-by-step explanation:
Here is your answer
Let the number of wizards is x
20% more gobins than wizards.
ATQ
Hence Numbers of wizards are 100 in a magic club.
Answer:
480
Step-by-step explanation:
120 ------ [tex]\frac{20}{100}[/tex]
x ----------[tex]\frac{100}{100}[/tex]
x·[tex]\frac{20}{100} = 120\frac{100}{100}[/tex]
x= [tex]\frac{120}{0,2}[/tex]
x=600
600- 120= 480 wizards in the club
What is the range of the relation below?
{(-4,1), (-2,0), (8, -1)}
Answer:
Range: {-1, 0, 1}
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x){Set Builder Notation}Step-by-step explanation:
Step 1: Define
[Relation] {(-4, 1), (-2, 0), (8, -1)}
Step 2: Identify
According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.
A sportswriter wishes to see if a football filled with helium travels farther, on average, than a football filled with air. To test this hypothesis, the writer uses 18 male subjects, randomly divided into two groups of 9 subjects each. Group 1 kicks a football filled with helium to the recommended pressure, while Group 2 kicks a football filled with air to the same pressure. The sample mean yardage for Group 1 was barx2 = 30 yards with a standard deviation of s1 = 8 yards. The mean yardage for Group 2 was barx2 = 25 yards with a standard deviation of s2 = 6 yards. Assume that the two groups of kicks are independent. Let μ1 and μ2 represent the mean yardage we would observe for the entire population represented by the volunteers if all members of this population kicked, respectively, a helium-filled football and an air-filled football. Let σ1 and σ2 be the corresponding population standard deviations. Assuming two-sample t procedures are safe to use, what is a 99% confidence interval for μ1 – μ2?
A) 4 ± 7.7 yards.B) 4 ± 11.2 yards.C) 4 ± 4.7 yards.D) 4 ± 6.2 yards.
Answer:
5 ± 9.74
Step-by-step explanation:
Confidence interval, two - sample, t procedure ;
μ1 - μ2 = (x1 - x2) ± Tcritical*S
S = sqrt[(s1²/n1) + (s2²/n2)]
n1 = 9 ; n2 = 9 ; s1 = 8 ; s2 = 6 ; x1 = 30 ; x2 = 25
S = sqrt[(8^2/9) + (6^2/9)]
S = sqrt[11.111111]
S = 3.333
Tcritical at 99% confidence interval
df = 18 - 2= 16
Tcritical = 2.92
(30 - 25) ± 2.92*(3.333)
5 ± 9.74
24 divided by [(6 divided by 2) - (4 divided by 2)
Answer:
Im pretty sure the answer is 6
Step-by-step explanation:
Leave the 24 aside for a sec. Focus on the 6÷2 and 4÷2. 6 divided by 2 is 3. And 4 divided by 2 is 2. So now its 24÷3= 8
8-2=6
two number are in the ratio 5:6 if sum of three number is 132 . find the number.
I hope this help you
.........
27
6 boys have a mean age of 10 years.
14 girls have a mean age of 5 years.
Work out the mean age of all 20 children.
not clear way ..... clear it
FACTOR the expression 6x+3y-12 using the greatest common multiple.
Include Parentheses: ()
No spaces!
Put the multiple outside, to the left of the parentheses! Combine like terms and simplify the expression: -2+6x+4+4x
Answer:
Step-by-step explanation:
For 6x+3y-12 the greatest common factor is 3 so
3(2x+y-4)
For -2+6x+4+4x
10x+2 and 2 is greatest common factor so
2(5x+1)
7.
Mr. Aamodt bought a new lawn tractor for $3,350.
a.
The state sales tax on the lawn tractor purchase will be 6.5%. How much state
sales tax will Mr. Aamodt pay on the tractor? (2 points)
b.
Mr. Aamodt has applied for a 2-year loan at the bank for $3,350 to pay for
the new lawn tractor. The bank will charge him 8.4% simple interest on the
loan. What amount of interest will Mr. Aamodt pay on the loan? (2 points)
C.
What is the total cost of Mr. Aamodt's new lawn tractor, including the purchase
price, the loan interest, and the sales tax? (2 points)
Answer:
7. Mister as an umbrella a new lawn tractor for 3035 $0 a the state sales tax the lawn tractor purchase will be 6. 5% how much states sells tax will mr. pay for the tractor two points? mister I can apply for 2 years loan for the bank for new tra
Determine the solution to 8x = 32 that makes the equation true.
Answer:
4
Step-by-step explanation:
8x=32
x = 4
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x+7–4x3
In the following problem, Emily tried to calculate EG. However, she has made a mistake in her work. You need to identify and explain the mistake. Then, you must provide the correct solution.
Answer:
x = 66
Step-by-step explanation:
Emily's mistake is that part of the line is only x - 6, but she put 6x - 6
The first 6 shouldn't be there.
x - 6 = 72
x = 66
The actual correct answer is:
x = 78
Step-by-step explanation:
Although the explanation above is correct, the answer is wrong. It's not 66 because you are subtracting 6 from x. This means x needs to be 6 above 72.
Here is my step-by-step solution:
x - 6 = 72 <-- Given; Corrected Equation
x - 6 + 6 = 72 + 6 <-- Addition Property of Equality
x = 78 <-- Result from Solution
HELP! WILL GIVE BRANLIEST + EXTRA POINTS!!!!
Answer:
130.25 ft.
Step-by-step explanation:
The semi circle has a length 1/2 of the circumference of the circle with a diameter of 25
C = πd = 3.14(25)
So, the semi circle has a length = 1/2(3.14)25) = 39.25
The distance for the rectangle = 33 + 25 + 33 = 91
Therefore, the total perimeter = 91 + 39.25 = 130.25
15) Max has his eye on a new pair of sneakers that cost $120. He decided
he would not purchase the shoes until there was at least a 30% discount.
What was the cost Max was willing to pay for the sneakers?
Is 4/5 and 5/6 equivalent or not
Answer:
For the two fractions 4/5 and 5/6, the least common denominator is 30. The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6). The fraction 5/6 is equivalent to 25/30 (To get this I multiplied both the numerator and denominator by 5).
Step-by-step explanation:
They are equivalent (Except for the numerator)
Will someone help me please)
A farmer has harvested 1.6 tons of sweet potatoes from one-quarter of an
acre. How many tons will he harvest from one acre
Answer: there is no pic
Step-by-step explanation:
Answer:
6.4 tons
Step-by-step explanation:
If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work? Pls helppp thank you :)
Answer:
30 days
Step-by-step explanation:
A, B and C are points on a circle with a diameter AB
Answer:
36.575
Step-by-step explanation:
you need to find line ab you can do [tex]A^{2} +B^{2} =C^{2}[/tex] for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English
Find the value of y.
Answer:
y = 6
Step-by-step explanation:
This is a special right triangle with angle measures 90° 60° 30°
the side length that sees angle measure 30 is represented with x
the side length that sees angle measure 90 is represented with 2x
and the side length that sees angle measure 60 is represented with x√3
the side length that sees angle measure 90 is given as 4√3 which means 2x = 4√3 divide both sides by 2
x = 2√3 now to find y, we need to multiply this value by √3
2√3 × √3 = 2 × 3
Which expression has the greatest value?
A: -2 x -2 divided by 1/2
B: -2 x -1/2 divided by 2
C: -2 x 1/2 divided by 1/2
D: -2 x 2 divided by 2
Answer:
A. -2 × -2 divided by 1/2
Step-by-step explanation:
-2 × -2 ÷ 1/2 =8
Any help would be nice
Answer:
<CPB
Step-by-step explanation:
Because the rest make obtuse angles or a right angle, only angle CPB is less than 90 degrees.
Can anyone help me with my homework
If carpet costs $4 per square yard, how much would it cost
to carpet a rectangular room that is 6 yards wide and 10
yards long?
Answer:
A=l•w
A=6•10
A=60 yards square
1 yr sq 4$
60 yr sq x$
x=60•4/1
x=240 $
It would cost 240$ to carpet the room
Step-by-step explanation:
In chemistry you need to dilute an alcohol solution down. You have a 90% alcohol solution and a 20% alcohol solution. If you want to end up with 335L of 50% alcohol, how much of each do you need?
Answer:
143.715 liters of 90% alcohol and 191.285 liters of 20% alcohol must be used to achieve 335 liters of 50% alcohol.
Step-by-step explanation:
Since I need to dilute an alcohol solution down, and I have a 90% alcohol solution and a 20% alcohol solution, if I want to end up with 335L of 50% alcohol, to determine how much of each do I need to be perform the following calculation:
100 x 0.9 + 0 x 0.2 = 90
90 x 0.9 + 10 x 0.2 = 83
80 x 0.9 + 20 x 0.2 = 76
70 x 0.9 + 30 x 0.2 = 69
60 x 0.9 + 40 x 0.2 = 62
50 x 0.9 + 50 x 0.2 = 55
40 x 0.9 + 60 x 0.2 = 48
42 x 0.9 + 58 x 0.2 = 49.4
43 x 0.9 + 57 x 0.2 = 50.1
42.9 x 0.9 + 57.1 x 0.2 = 50
335 x 42.9 / 100 = 143.715
335 - 143,715 = 191,285
Thus, 143.715 liters of 90% alcohol and 191.285 liters of 20% alcohol must be used to achieve 335 liters of 50% alcohol.
What equals 3 3/4 + 1 1/4
Answer:
The answer is 5.
Step-by-step explanation:
Convert your mixed numbers to fractions.
Then your initial equation becomes:
15 5/4 + 5/4
Now you apply the fraction formulas for addition.
(15x4)+(5x4)
_________
4x4
60+20
____
16
= 80/16
Then we simplify and we have 5.
The amount of a radioactive substance remaining as it decays over time is A = A0(0.5)t/h ,where a represents the final amount
Ao represents the original amount, t represents the number of years, and h represents the half-life of the sibstance.
The half-life of the radioactive isotope carbon-14 is 5,730 years. Approximately how many years will it take a 50-gram mass of
carbon-14 to decay to 5 grams?
Carbon-14 will take 19,035 years to decay to 10 per cent.
What is the time of decay?
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.
An exponential decay can be described by the following formula:
[tex]N(t)=N_oe^{-\lambda t}[/tex]
Where:
No = The quantity of the substance that will decay.
N(t) = The quantity that still remains and has not yet decayed after a time t
[tex]\lambda[/tex] = The decay constant.
One important parameter related to radioactive decay is the half-life:
[tex]t_{1/2}=\dfrac{Ln(2)}{\lambda}[/tex]
If we know the value of the half-life, we can calculate the decay constant:
[tex]\lambda =\dfrac{ln(2)}{t_{1/2}}[/tex]
Carbon-14 has a half-life of 5,730 years, thus:
[tex]\lambda =\dfrac{ln(2)}{5730}[/tex]
[tex]\lambda[/tex] = 0.00012097
The equation of the remaining quantity of Carbon-14 is:
[tex]N(t)=N_oe^{-0.00012097t}[/tex]
We need to calculate the time required for the original amount to reach 10%, thus N(t)=0.10No
[tex]0.10N_o=-N_oe^{-0.00012097t}[/tex]
Simplifying:
[tex]0.10=e^{0.00012097t}[/tex]
Taking logarithms:
ln(0.10) = -0.00012097t
Solving for t:
[tex]t=\dfrac{Log0.10}{-0.00012097}[/tex]
t = 19035 years
Carbon-14 will take 19,035 years to decay to 10 per cent.
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