Answer:
Betty is 27. Her son is 9.
Step-by-step explanation:
We will use b to represent Betty's age. We will use s to represent her son's age.
This year:
b = 3s
In 12 years' time:
b + 12 = 2(s + 12) - 3
b + 12 = 2s + 24 - 3
b + 12 = 2s + 21
b = 2s + 9
We know that b = 3s, so we can substitute this value into our equation.
3s = 2s + 9
s = 9
b = 3 x 9
b = 27
Which is equivalent to V1,215' ?
0 243
O 1,2155
O 1,2153
o 243 *
2437
Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25
Answer:
0.95
Step-by-step explanation:
[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]
[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]
What is the answer? I need help on this and it’s not popping up on here
Answer:
The answer for this question is
Step-by-step explanation:
[tex]5x {}^{3} + 9 \div x \\ \\ [/tex]
jason made 42 christmas cookies he gave half of them to his teacher he ate 1 third of them then gave 8 to his little sister how many do santa get
Answer:
and why did teacher ate it
Which statement for all trapezoids are true? Exactly one pair of opposite sides are parallel Diagonals are always congruent Opposite sides are always congruent
Answer:
Exactly one pair of opposite sides are parallel
Step-by-step explanation:
A trapezoid is a plane shape quadrilateral that has exactly one pair of its sides parallel.
The parallel sides must occur for it to be a trapezoid. If they do not, it is most likely another shape. They could occur between the top and bottom sides while the left and right sides remain non-parallel, or vice-versa.
The other options given do not fall into the description of a trapezoid, as its opposite sides and diagonals are not always congruent.
what one is going slower
(I need the work too please!)
The yearly cost for cross-fit classes is $250 more than yoga classes. And, the
yearly cost for a gym membership is $100 more than yoga classes. Combined,
the cost for all the different plans are $1250. Determine the cost of the gym
membership, yoga, and cross-fit classes.
Answer:
I am not sure if this was the correct method to solve the question, however it gives the right results if you check it.
Step-by-step explanation:
3x+250+100=1250
3x= 900
x=300
yoga: 300, cross fit: 550 (300+250), gym: 400(300+100)
does this figure have symmetry?
A)
Yes, because if you fold it in half, both halves match up
b) No, because if you fold it in half, both halves do not match up.
c) No because if you rotate it 90 degrees, it does not carry onto itself.
D) Yes, because if you rotate it less than one full turn, the figure carries onto itself.
It's timed plzzz help!!!
Answer:
2A/p
the last option
Step-by-step explanation:
gl!!!
what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.
Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14
Answer:
x=1
Step-by-step explanation:
-3x=-3
Find the volume of a hemisphere of radius 5 cm.
Answer:
the volume of a hemisphere with a radius of 5 feet is 261.67 cubic feet.
Step-by-step explanation:
What is the answer for (3x - 9)
Answer:
3(x−3) I think that is right I am not sure
Step-by-step explanation:
1.) Jahmal had a $10,000 loan. He still owes $5,275. He had to pay 15% interest up front on to get
the loan. How much total money has Jahmal already paid on the loan?
A.) $4,725
B.) $6,225
C.) $5,550
D.) $709
I need help and please explain what you did. Thank you!
Answer:
C or A
Step-by-step explanation:
At the beginning of the week, a stock was $82.73 per share.
On Monday, the stock gained $0.19 per share.
-On Tuesday, it gained $0.07 per share.
-On Wednesday, the stock lost $0.13 per share.
-On Thursday, it lost $0.25 per share.
On Friday morning, what was the price of the stock per share?
Colton is about to ride a straight water slide. The launching platform is at the top of a tower that is 8 meters tall. The splash pool at the end of the slide is 15 meters from the base of the tower. How long is the water slide itself? Show your work.
Answer:
The length of the water slide itself is 17 meters
Step-by-step explanation:
Here, we want to calculate the length of the water slide
from the description given in the question;
we have a right angled triangle where the height of the tower, the distance from the base of the tower and the length of the slide itself represents the sides of the triangle
From the description given in the question, the water slide length represents the slope of the right triangle formed
thus, mathematically by using Pythagoras’ theorem;
The square of the hypotenuse equals the sum of the squares of the two other sides
Let us call the length of the water slide y
y^2 = 8^2 + 15^2
y^2 = 64 + 225
y^2 = 289
y = √289
y = 17 meters
Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal= $450
Number of periods= 8 years
Interest rate= 6%
We will determine the interest earned and future value using simple interest and compound interest:
Simple interest:
I= P*r*t
I= 450*0.06*8= $216
Total Future Value= I + P
Total Future Value= 216 + 450= $666
Compound interest:
I= [P*(1+r)^t] - P
I= [450*(1.06^8)] - 450= $267.23
Total Future Value= P*(1+r)^t
Total Future Value= 450*1.06^8
Total Future Value= $717.23
Answer:
Step-by-step explanation:
6
Pleaseeeee helpppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
x = 6
Step-by-step explanation:
This means that they are equivalent to each other.
10 = 30 *Multiply by 3
2 = x
Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.
x = 6
Answer:
Hi
the answer would be:
10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6
I hope that it's correct.
Step-by-step explanation:
HELP PLEASE HELP!!!!!
(i): A triangle where all three sides are equal and the same.
(ii): A triangle where all three sides are unequal in length.
(iii): A triangle that has two sides of equal length.
(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.
(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).
(vi): A triangle where one internal angle is a right angle(90 degrees).
Hope this helps
Answer:
(i): A triangle where all three sides are equal and the same.
(ii): A triangle where all three sides are unequal in length.
(iii): A triangle that has two sides of equal length.
(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.
(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).
(vi): A triangle where one internal angle is a right angle(90 degrees).
Hope this helps
Step-by-step explanation:
which expression is equivalent to 8x-12y+32
Answer:
2x-3y+4
Step-by-step explanation:
greatest commln factor is four so divide everything by four
Answer:
umm where are the option i will give you an answer but i dont see any option
Step-by-step explanation:
4(2x-3yplus8)
Betty is making a quilt made of various patterns . She buys 3 sheets of fabric that each have an area of 30 square feet. She cuts them up into sections that are each 2/5 of a square foot . How many sections will she have total
Answer:
She will have 12 sections per fabric and 36 sections in all
Step-by-step explanation:
Betty buy 3 fabrics of 30 ft²
If she cut each to 2/5 of 1 ft²
Then she will have
30 × 2/5
= 6 × 2
= 12
She will have 12 for each fabric and for the 3 fabrics, she will have
12 × 3 = 36
Step-by-step explanation:
Answer:
225 sections
Step-by-step explanation:
Each fabric has an area of 30 sq ft.
All 3 fabrics have a total area of 3 * 30 sq ft = 90 sq ft.
Each sections has an area of 2/5 sq ft.
number of sections = total area of fabric / area of each section
90/(2/5) = 90 * 5/2 = 450/2 = 225
Answer: 225 sections
Please I need help on this
Answer:
i cant see the picture that well
Your bill at a restaurant is $36.00. How much tip should you leave if the average amount for a tip
is 15%?
Pls help meh
Answer:
I'de say about 5.40$ would be a good 15% tip
Step-by-step explanation:
Answer:
5.40
Step-by-step explanation
picture attached answer for brainlyest
Answer:
x = 7.809
Step-by-step explanation:
21x + 16 - 16 = 180 - 16
21x/21 = 164/21
x = 7.809
Josie has $30 to spend at a festival .It cost $5 to enter the festival and the game she wants to play cost $1.40 .Write the inequality and use it to determine the number of games that Josie can play
Answer:
At the maximum Josie can be 17 games.
Step-by-step explanation:
Given that:
Total money available with Josie to be spent at a festival = $30
Entry ticket for the festival = $5
Ticket for each game = $1.40
To find:
The inequality to represent the situation and the number of games that Josie can play.
Solution:
Ticket for 1 game = $1.40
Let [tex]n[/tex] number of games can be played.
So, Ticket for [tex]n[/tex] games = $1.40[tex]n[/tex]
Total money spent = $1.40[tex]n[/tex] + $5
It is should be lesser than or equal to $30.
[tex]1.40n + 5 \leq 30\\\Rightarrow 1.40n \leq 25\\\Rightarrow n \leq 17.8[/tex]
Therefore, at the maximum Josie can be 17 games.
What is the coefficient of y^3 in the expansion of (y+3) raised to the 4th power?
A. 1
B. 6
C. 4
D. 3
22=-2x+4(-4x-17)
solve for x pls
Answer:
x=-5
Step-by-step explanation:
22=-2x+4(-4x-17)
We move all terms to the left:
22-(-2x+4(-4x-17))=0
We calculate terms in parentheses: -(-2x+4(-4x-17)), so:
-2x+4(-4x-17)
We multiply parentheses
-2x-16x-68
We add all the numbers together, and all the variables
-18x-68
Back to the equation:
-(-18x-68)
We get rid of parentheses
18x+68+22=0
We add all the numbers together, and all the variables
18x+90=0
We move all terms containing x to the left, all other terms to the right
18x=-90
x=-90/18
x=-5
Answer:
Step-by-step explanation:
22 = -2x + 4(-4x - 17)
22 = -2x + 4*(-4x) - 4*17
22 = -2x - 16x - 68 {Combine like terms}
22 = -18x - 68 {Add 68 to both sides}
22 + 68 = -18x
90 = -18x {Divide both sides by (-18)
90/-18 = x
x = -5
A squirrel collected 45 acorns for winter and can hide 4 acorns in a single hole. How many holes will the squirrel need to dig to hide all the acorns?
Answer:
the squirrel needs to dig 12 holes.
Step-by-step explanation:
11 x 4 = 44, plus an extra hole for the one acorn left over.
Anyone good at math? will give brainlest to correct
A product goes from $25 to $27 in price.
The product has a percent increase of _____.
Answer:
8%
Step-by-step explanation:
27 - 25 = 2
2/25 x 100 = 8%
8% increase
answer is 8%
Answer:
8%
Step-by-step explanation:
2/25 is equal to 8/100 so therefore it is 8%
A square rug has a side length of x. A rectangular rug has a length that is 4 yards longer than the square rug and a width that is 2 yards shorter than the square rug. If the areas of the two rugs are equal, what is the length of the rectangular rug?
Answer:
8
Step-by-step explanation:
X²=(x+4)(x-2)
x²=x²+2x+4x-8
x²=x²+2x-8
x²-x²-2x=-8
2x=8
x=4
so the square rug is 4x4 and the rectangular rug is 8x2
