Answer:
Harper is 17 and Cadence is 44.
Step-by-step explanation:
First, we can set up an equation to displays the sum of both ages.
Let x = Harper's age and y = Cadence's age
x+y=61
8 years ago, this means the sum will decrease by a total of 16 as we have to subtract 8 from both variables
The equation to represent 8 years ago is: x+y=45
Now we can write another equation to represent Cadence being 4 times older than Harper (8 years ago)
y=4x
We can substitute this back into the equation we had for the ages 8 years ago.
x+(4x) = 45
5x=45
x=9
Now, Harper's age 8 years ago is 9 years old. We add 8 to this number to determine that Harper is currently 17 years old.
We can insert this into the original equation to determine Cadence's age.
17+y=61
y=44
Thus, Cadence is currently 44 years old
Which graph represents the piecewise-defined function f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 4, 2nd column 0 less-than-or-equal-to x less-than 3 2nd row 1st column 6, 2nd column x greater-than-or-equal-to 3 EndLayout?
On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (3, 6), continues horizontally to the left at y equals 6 with an arrow instead of an endpoint. The second line has a closed circle at (3, 0) and continues up to an open circle at (5, 3).
On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (3, 6), continues horizontally to the left at y equals 6 with an arrow instead of an endpoint. The second line has a closed circle at (3, 0) and continues up to a closed circle at (5, 3).
On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (0, 4) and continues down to a closed circle at (3, 1). The second line has an open circle at (3, 6), continues horizontally at y = 6 with an arrow instead of an endpoint.
On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (0, 4) and continues down to an open circle at (3, 1). The second line has a closed circle at (3, 6), continues horizontally at y = 6 with an arrow instead of an endpoint.
Answer:
A FOR EDGE 2022
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
please get this right !!!
Answer:
3rd option
Step-by-step explanation:
probability (P) is calculated as
P = [tex]\frac{desired outcome}{total outcomes}[/tex]
deired outcome is red marble = 4
total outcomes = 4 + 2 + 3 = 9
then
P(red) = [tex]\frac{4}{9}[/tex]
since the marble is not replaced then total outcomes = 8
desired outcome is yellow marble = 2
P(blue) = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
then
P(red and yellow ) = [tex]\frac{4}{9}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{9}[/tex]
PLEASE HELP If the probability that the Islanders will beat the Rangers in a game is 1/6, what is the probability that the Islanders will win at most one out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.
Answer:
0.142
Step-by-step explanation:
The probability that the islanders will win at most one out of 7 games in a series = 1/7
1/7 = 0.142
Use the fact that the bacteria is doubling every five minutes. What fraction of the bottle was full at 11:20am?
Find the product of this expression.
(2a - 3b)(4a 2 + 6ab + 9b 2 ) =
8a+27b^3 i belive is the solution
Answer:
8a³-27b³
Step-by-step explanation:
use the box method to multiply
combine the like terms
solve each problem. round your answer to the nearest hundredth
what is 12% of 36.51
Answer:
4.38
Step-by-step explanation:
12% of 36.51 can be written as;
[tex](\frac{12}{100} )*(36.51)=x[/tex]
and then you can solve;
=> 0.12 x 36.51 = x
=> 4.38 = x
Hope this helps!
Determine formula of the nth term 2, 6, 12 20 30,42
Check the forward differences of the sequence.
If [tex]\{a_n\} = \{2,6,12,20,30,42,\ldots\}[/tex], then let [tex]\{b_n\}[/tex] be the sequence of first-order differences of [tex]\{a_n\}[/tex]. That is, for n ≥ 1,
[tex]b_n = a_{n+1} - a_n[/tex]
so that [tex]\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}[/tex].
Let [tex]\{c_n\}[/tex] be the sequence of differences of [tex]\{b_n\}[/tex],
[tex]c_n = b_{n+1} - b_n[/tex]
and we see that this is a constant sequence, [tex]\{c_n\} = \{2, 2, 2, 2, \ldots\}[/tex]. In other words, [tex]\{b_n\}[/tex] is an arithmetic sequence with common difference between terms of 2. That is,
[tex]2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2[/tex]
and we can solve for [tex]b_n[/tex] in terms of [tex]b_1=4[/tex]:
[tex]b_{n+1} = b_n + 2[/tex]
[tex]b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2[/tex]
[tex]b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2[/tex]
and so on down to
[tex]b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)[/tex]
We solve for [tex]a_n[/tex] in the same way.
[tex]2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)[/tex]
Then
[tex]a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)[/tex]
[tex]a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))[/tex]
[tex]a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))[/tex]
and so on down to
[tex]a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2[/tex]
[tex]\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}[/tex]
There is a pair of parallel sides in the following shape. 4 4 6 What is the area of the shape?
============================================================
Explanation:
It might help to rotate the figure so the parallel sides are horizontal. This is optional.
The parallel bases are [tex]b_1 = 6[/tex] and [tex]b_2 = 4[/tex] in either order.
The height is h = 4 which is always perpendicular to both bases.
Plug these values into the trapezoid area formula.
[tex]A = \frac{h(b_1 + b_2)}{2}\\\\A = \frac{4(6+4)}{2}\\\\A = \frac{4(10)}{2}\\\\A = \frac{40}{2}\\\\A = 20\\\\[/tex]
The area of the trapezoid is 20 square units.
-----------
Another pathway is to break the trapezoid into a rectangle up top and a triangle down below.
The rectangle is 4 by 4 with area 4*4 = 16
The triangle has a base of 6-4 = 2 and height of 4, so its area is base*height/2 = 2*4/2 = 8/2 = 4
Overall the total area is rectangle+triangle = 16+4 = 20 square units.
pls helpie welpieeee!!
Answer:
A
Step-by-step explanation:
rate of change of table is 10 equation is 6
need help asapppp !!!!
Answer:
Both
Claire
Andre
Neither
Step-by-step explanation:
We have to determine whether each point lies on Claire's line (blue) and whether it lies on Andre's line (black).
Point A is the intersection of both lines, hence the statement represents them both.
Point B only lies on Claire's line.
Point C is the start of Andre's line.
Point D is outside of both lines.
Start Time: 8:10 A.M.
End Time: 10:55 A.M.
Elapsed Time:
Answer:
2 hours and 45 minutes is the answer to your question
165 min or 2 hrs 45 min
hope it helps...!!!
Mia buys 404.6 square feet of new wood
flooring. How much did she pay for the wood if it cost $0.99 Per square foot?
Answer:
$400.55 (to the nearest cent)
Step-by-step explanation:
she paid
= 404.6 x 0.99
= 400.554
= $400.55 (to the nearest cent)
hope this helps!
Answer:
$ 400.554
Step-by-step explanation:
Let the unknown price be x.
1 ft² ⇒ $ 0.99
404.6 ft² ⇒ x
Let us use cross multiplication to find the value of x.
0.99 × 404.6 = 1 × x
400.554 = x
Therfore, she'll pay $ 400.554 for 404.6 ft²
What is the size of the angle, below?
please help me
Answer:
1093 is answer OK please add me in brainliest
Answer:
Step-by-step explanation:
wheres hte pic
What is the volume of metal in the hex nut, to the nearest tenth? use 3.14 for π. 21.1 cm3 23.6 cm3 27.6 cm3 31.6 cm3
The volume of metal in the hex nut to the nearest tenth is 27.6 cm^3.
Calculations and Parameters:Given that:
Diameter of the cylinder: d=1.6 cmApothem of the hexagon: a=2 cmAssuming the thickness of the steel hex nut: t=2 cmVolume of metal in the hex nut: V=?V=Vp-VcVolume of the prism: VpVolume of the cylinder: VcThe central angle in the hexagon: A=360°/n
A=360°/6A=60°tan (A/2)=(L/2) / atan (60°/2)=(L/2) / (2 cm)tan 30° = (L/2) / (2 cm)\sqrt(3)/3=(L/2) / (2 cm)Solving for L/2:
(2 cm) \sqrt(3)/3 = L/22 \sqrt(3)/3 cm = L/2Solving for L:
2 (2 \sqrt(3)/3 cm)=L4 \sqrt(3)/3 cm = LL=4 \sqrt(3)/3 cmAb=n L a / 2Ab=6 (4 \sqrt(3)/3 cm)(2 cm) / 2Ab=24 \sqrt(3)/3 cm^2Ab=8 \sqrt(3) cm^2Vp=Ab hVp=(8 \sqrt(3) cm^2)(2 cm)Vp=16 \sqrt(3) cm^3Vp=16 (1.732) cm^3(1) Vp=27.712 cm^3Cylinder:
Vc=(π d^2/4) hπ=3.14d=1.6 cmHeight of the cylinder: h=t=2 cmVc=[3.14 (1.6 cm)^2 / 4] (2 cm)Vc=[3.14 (2.56 cm^2) / 4] (2 cm)Vc=(2.0096 cm^2) (2 cm)Vc=4.019 cm^3V=Vp-Vc
V=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3Read more about the volume of a metal here:
https://brainly.com/question/10022398
Answer:
the answer is B 23.6cm^3
Step-by-step explanation: did the test review
Can anyone help me been stuck for a while
Answer:
total marbles = 15 + 12 = 27
blue marbles = 12
probability of blue marble = 12/27 simplifies to 4/9
Question:
Can anyone help me been stuck for a while.
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
The bag has 15 white marbles,
and 12 blue marbles.
Add the totals together, and you would get:
27.
turn that into a fraction:
[tex]\frac{12}{27}[/tex]
then simplify:
Find the GCD (or HCF) of numerator and denominator
GCD of 12 and 27 is 3
Divide both the numerator and denominator by the GCD
12 ÷ 3
27 ÷ 3
Reduced fraction:
[tex]\frac{4}{9}[/tex]
Therefore, [tex]\frac{12}{27}[/tex] simplified to lowest terms is:
[tex]\frac{4}{9}[/tex]
Therefore, your answer would be: [tex]\frac{4}{9}[/tex]
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C =
Answer:
Step-by-step explanation:
Answer:
C^2 = 95 ft is the length of the hypotenuse.
Step-by-step explanation:
To get the hypotenuse, apply the Pythagorean theorem.
The formula is a^2+b^2=c^2, where a and b are the leg lenths and c is the length of the hypotenuse. This is referred to as the Pythagorean theorem.
We know what a and b are, so lets utilize the Pythagorean theorem
.
a^2 + b^2 = c^2 - This is the Pythagorean theorem formula.
76^2 + 57^2 = C^2 - Fill in the equation with a= 76 and b = 57^2.
5776 + 3249 = c^2
9025 = c^2 - C^2 is found by adding A^2 and B^2.
square root of c^2 = square root of 9025 - Take the square root of both sides of the equation.
C = 95 ft - Simplify
C^2 = 95 ft is the length of the hypotenuse. Brainliest? :D
subtract 6.28-1.26 =?
a)4.98
b)5.02
c)5.20
d)5.28
Answer:
C. 5.02
Step-by-step explanation:
Answer:
b) 5.02
Step-by-step explanation:
6.28-1.26 =?
Line up the numbers,
6.28
- 1.26
?
Subtract left from right,
6.28
- 1.26
?
8 - 6
⇒ 2
6.28
- 1.26
2
2 - 2
⇒ 0
6.28
- 1.26
5.02
6 - 1
⇒ 5
6.28
- 1.26
5.02
Hence, the answer is 5.02, ⇒ option b
Which is most likely to weigh 2 pounds?
Answer:
Insert an image.
Step-by-step explanation:
If you may, add a picture so I can see what you mean.
please help me with this thank you
beep bop boop bleep bloop i is bored lol
Directions: Fill in the blank with the
correct angle names: acute, right, obtuse, straight.
angles that are greater than 90° and less than 180°
angles that are exactly 180°
angles that are exactly 90°
angles that
are greater than 0° and less than 90
Answer:
1. obtuse
2. straight
3. right
4. acute
Step-by-step explanation:
Rules are
Greater than 90=ObtuseLess than 90=acuteequal to 90=rightEqual to 189=straightSo
our answers are
Obtusestraightrightacute6 inches = _____ centimeters
Answer:
15.2 cm
Step-by-step explanation:
Inch to centimeter conversion is multiplying the number of inches by 2.54
6 * 2.54 = 15.24
the 2 is in the tenths place
4 is less than and not equal to 5, therefore the 2 stays the same
6 inches = 15.2 centimeters
hope this helps:)
Find the value of x iready
Answer:
As it is straight line so the measure of tatal angle is 180 subtract 180 from. 88 to get the answer
Step-by-step explanation:
The correct answer is 92
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:92
Step-by-step explanation:
Find the equation of the lines a and b
Answer:
Line A = y = 3x – 2
Line B = y = -4x + 5
Step-by-step explanation:
SOMEONE PLS HELP !!!!!!!
Answer:
5/2
Step-by-step explanation:
4(x + 7) = 38
x + 7 = 38/4
x = 38/4 - 7
x = 38/4 - 28/4
x = 10/4
x = 5/2
Reasoning:
1. Divide both sides by 4
2. Isolate variable by subtracting 7 on both sides
3. Convert 7 into an improper fraction to subtract constants
4. Simplify
Please help
pictures are down below
A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters. What is the area of the composite figure? 70 cm2 100 cm2 105 cm2 130 cm2
Answer:
D. 100 cm^2
Step-by-step explanation:
i did this before so ik im right
Answer: B 100
Step-by-step explanation:
I just took it
Find the missing side of the right triangle a=24m and b=7m
Answer:625
Step-by-step explanation:
a squared plus b squared =c Squared
PLEASE HELPP I NEED TO TURN IT IN AS SOON AS POSSIBLE
The price of a gallon of gasoline decreased by $0.04. Which number line shows a point
that represents the change in the price of a gallon of gasoline, in dollars?
I believe it's D
A decrease means you're going in the negative direction. And 0.04 is way less than 0.50
So D is the most logical answer
Arectangular fish tank measures 35 cm long, 24 cm wide, and 50 cm high. It contains 25 liters of water. How many more liters of water are needed to fill the fish tank completely?
Answer:
i think it is a but i am not sure
Step-by-step explanation:
can anyone help me answer this