Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age. (a) If x represents the age of the youngest child, then write an equation that models this scenario. (b) Determine the ages of the three sisters.
Answer:
(a) x + 3(x + 4) = 5(x + 2) - 5
(b) youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Step-by-step explanation:
(a)
We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.
Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:
x + 3 * (x + 4) = 5 * (x + 2) - 5
x + 3(x + 4) = 5(x + 2) - 5
(b)
Now, we can just solve the equation above:
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x = 12 - 5 = 7
So, the youngest sister is 7 years old.
That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.
The ages, then, are:
youngest: 7 years old
middle: 9 years old
oldest: 11 years old
in a packet of skittles 27% are red and 14% are blue what percentage are not red
Answer:
73%
Step-by-step explanation:
if 100% of the skittles are there, and 27% are red, then you would just subtract to find out how many aren't red.
100-27=73
1. Dan charges $15 per hour for walking dogs. What is the missing number in the table?
A 50
C 75
B 60
D 82.5
Expand the brackets and simplify.
a) 4(8 + 5) – 4g =
b) 6(p + 4) + 2(p - 12) =
c) 30 + 2(3z – 15) =
d) 204 + a) + a =
e) 6(a + 5) + 2(a – 7) =
f) 2(3 + w) + 5(2 + 6w) =
Answer: is bruh idk
Step-by-step explanation: you dont ask me
Answer:
a) -4g + 52
b) 8p
c) 6z
d) 2a +204
e) 8a +16
f) 32w +16
Solve the following equation for A. Be sure to take into account whether a letter is
capitalized or not.
4 = gA
Answer:
4/a
Step-by-step explanation:
What is the product of (–22.1)(–5.6)?
–123.76
–27.7
27.7
123.76
Answer:
-123.76
Step-by-step explanation:
You just multiply -22.1 by -5.6 and you get -123.76.
1/2 - (3/4 - 3/8)
full answer is needing pls with steps!
Answer:
1/8
Step-by-step explanation:
First, take 3/4 and make a common denominator with 3/8. You can make 3/4 into 6/8. Now, subtract 3/8 from 6/8 which is 3/8.
Second, find the common denominator between 3/8 and 1/2. You can make 1/2 into 4/8.
Third. Now subtract 3/8 from 4/8. You get 1/8.
The answer therefore is 1/8
btw its an easy question!
Brad reads his favorite book for 114 hours each day. If he has read the book for 2212 hours so far, how many days has he read it? Show how you know.
Answer:
20 days
Step-by-step explanation:
2212 divided by 114 =19.40350877, so round it up to the nearest tenth, which is 20. he has read for 20 days
PLEASEEE HELP ASAPPPP . When solving using Elimination:
When adding the following equations, which variable will be eliminated?
6x + 3y = 9
4x - 3y = -19
1. Y 2. Neither 3. X
Hanan buys a pair of shoes for $51.49 and a board game for $17.65. She pays with $80.00. How much change will Hanan get back?
$51.49+$17.65=$69.14
$80-$69.14=$10.86
From an Algebra 2 class
solve x^2+9=0
Answer:
x = {-3, 3}Step-by-step explanation:
Simplifying
x2 + -9 = 0
Reorder the terms:
-9 + x2 = 0
Solving
-9 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + x2 = 0 + 9
x2 = 0 + 9
Combine like terms: 0 + 9 = 9
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
Answer:
10^2=0
Step-by-step explanation
Because x by it self always means one it would technically be 1^2+9 which would equal 10^2=0
You have investigated graphs of exponential relations of the form y = br for b > 0. Explain why graphs of this form remain above the x-axis.
Answer:
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try to get you a better answer! :)
what is the perimeter
Answer:
the answer is 10 6/3 20/10 1/2
Step-by-step explanation:
Simplify (–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)
Answer:
-43K+17
Step-by-step explanation:
(–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)
-9.3=-27 10.3=30
12.2=24 3.2=6
=(-27k+24k+9) - (30k+6k+4k-8)
COLLECT LIKE TERMS
=(-3k+9) - (40K-8)
= -3k+9-40k+8
= -43k+17
Answer:
-19k³ + 9k² + 17
Step-by-step explanation:
Given expression;
(-9k³ + 12k² + 9) - (10k³ + 3k² + 4k - 8)
To simplify, expand the brackets.
In the second bracket, the negative sign multiplies through;
= (-9k³ + 12k² + 9) - 10k³ - 3k² - 4k + 8
= -9k³ + 12k² + 9 - 10k³ - 3k² - 4k + 8
= -9k³ - 10k³ + 12k² - 3k²+ 9+ 8
= -19k³ + 9k² + 17
If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10. Show that P must move on a line.
Answer:
I need points!!!!!!!!
Step-by-step explanation:
EWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Set up and solve an equation to find the measure of each missing angle.
Answer:
<A = 76°
<B = 63°
<C = 41°
Plug in the value of x
<C = 34 + 7
<C = 41°
Step-by-step explanation:
[tex] 63 + (2x + 8) + (x + 7) = 180 [/tex] (sum of ∆)
Solve for x
[tex] 63 + 2x + 8 + x + 7 = 180 [/tex]
Add like terms
[tex] 78 + 3x = 180 [/tex]
Subtract 78 from each side
[tex] 78 + 3x - 78 = 180 - 78 [/tex]
[tex] 3x = 102 [/tex]
Divide both sides by 3
x = 34
<A = 2x + 8
Plug in the value of x
<A = 2(34) + 8 = 76°
<B = 63°
<C = x + 7
Plug in the value of x
<C = 34 + 7
<C = 41°
Find two numbers the quotient is between. Then estimate the quotient. Estimate. 37 ÷ 3 The quotient is between and . The estimate for the quotient is .
Using trig to find Angels plz help
Hi! I'm big dumb and I got this wrong once already.
Rachel finished a meal at a diner and received a bill for $10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary.
$11.14
$12.64
$13.19
$13.73
Oi! Katsuki here!
This question's answer is $12.64.
A thanks would be helpful! Have a great day!
Baku out!
$12.64Answer:
brainliest?Step-by-step explanation:
Please help me with my work
Answer:
3.) [tex]y = \frac{2}{5} x - 7.2[/tex]
4.) [tex]y = -3x - 1[/tex]
Step-by-step explanation:
You have to find the y-intercept in both questions to put it in point-slope form. The first step is to substitute y and x from the question into point slope-form. You get -6 = m(-3) + b. Then you substitute for the slope which is 2/5. You end up with -6 = [tex]\frac{2}{5}[/tex] (-3) + b. Solve for b which is -7.2 and put the slope and y-intercept into the final point-slope equation. You follow the same steps for question 4.
What is the y-intercept of the line that passes through the points (-3, 3) and (7, 5)? Type your answer as a decimal or improper fraction. NO mixed numbers.
b =
Step-by-step explanation: 5
Match the coordinates with the points on the coordinate plane.
Answer:
T (-4.5, -3)
S (0,-3,5)
R (3.5,0)
Q (4, 6.5)
P (-2,4)
I took the time to look and note the points on the graph. GL tho.
BRAINLIEST + FRIENDS IF U ANWER MY QUESTION!!!
Answer:
sam houston because Lamar was against annexation
Step-by-step explanation:
help asap please !!!!
Answer:
C =diameter times π
24π mm
what is 30 times 48?
Answer:
1440
Step-by-step explanation:
It’s 1440
A man is climbing down from 100 feet high descending 30 feet per minute. Which of the following equation represent this situation
what does 22+22= EQUAL
PLEASE HELP!!! WILL GIVE BRAINLEST
Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?
6 inches
4 StartRoot 21 EndRoot inches
16 StartRoot 21 EndRoot inches
21 inches
Answer:
Answer: 21 inches
Step-by-step explanation:
I got it right so this should help
if you want the explanation i can give that to u just comment
Please help!!!
Identify the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
Answers are one of the following
1.y − 1 = −8(x − 7)
2.y − 7 = 8(x − 1)
3.y−1=−18(x−7)
4.y−1=18(x−7)
Answer:
[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
Step-by-step explanation:
The endpoints:
B(6,9)C(8,−7)Calculating the Midpoint M of BC:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]
The Midpoint M of BC [tex]=\left(\frac{8+6}{2},\:\frac{-7+9}{2}\right)[/tex]
[tex]=\left(7,\:1\right)[/tex]
Calculating the slope of BC:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]
[tex]m=\frac{-7-9}{8-6}[/tex]
[tex]m=-8[/tex]
Given a line with slope [tex]m[/tex] then the slope of a
line perpendicular to it is:
[tex]m_{prependicular}=-\frac{1}{m}=-\frac{1}{-8}=\frac{1}{8}[/tex]
Equation of line using point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex]
Therefore, [tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
Colin and Brian were playing darts. Colin scored 141. Brian scored 154 more than Colin. What was their combined score?
Answer:436
Step-by-step explanation:
Since Colin scored 141 and Brian scored 154 more than Colin that would be (154+141). So Brian scored 295, so you add Brian's score and Colin's so 295+141, the total score is 436