Answer:
Friend C would be 20 years old
Step-by-step explanation:
Consecutive integers are integers that follow each other
In this case, we have three friends (let's call them A, B, and C) who's total age sum is 57:
A + B + C = 57
If Friend B is one year older than Friend A and Friend C is two years older than Friend A (or one year older than Friend B), then we write and solve for Friend A:
A + (A + 1) + (A + 2) = 57
3A + 3 = 57
3A = 54
A = 18
So if Friend A is 18 years old, then Friend B is 19 years old, and Friend C is 20 years old, making Friend C the oldest.
Answer:
20 years old
Step-by-step explanation:
3x + 3 = 57
3x = 54
x = 18
X + 2 = 18 + 2
Answer = 20 years old
Find the area of the figure to the nearest hundredth.
Answer:
19.85 sq ft
Step-by-step explanation:
area of circle with diameter of 5: A = π(2.5²) = 7.85
area of triangle: A = 1/2(4)(6) = 12
is 1 5/6 a rational number or a iraarational
Answer: rational number
Step-by-step explanation:
Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written
Find the measure of 46.
46 = [?]
24°
46
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
Brandon has 10 but each bag has 6 chocolates how many chocolates does he have in total
Answer:
10 what
Step-by-step explanation:
PLZ HELL FAST WILL GIVE BRAINLIEST
Select all the correct equations.
Which equations have no real solution but have two complex solutions?
3x^2- 5x= -8
2x^2= 6x – 5
12x= 9x^2 + 4
-x^2– 10x = 34
[tex] {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0[/tex]
This equation has the next form:
[tex] {ax}^{2} + bx + c = 0[/tex]
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
[tex] {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0[/tex]
Then, the first case has two complex solutions.
In the second case,
[tex] {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0[/tex]
The discriminant in this case is:
[tex]( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0[/tex]
Then, the second case has two complex solutions.
In the third case,
[tex]12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0[/tex]
The discriminant in this case is:
[tex] {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0[/tex]
Then, the third case has two real solutions.
In the fourth case,
[tex] { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0[/tex]
The discriminant in this case is:
[tex]( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0[/tex]
Then, the fourth case has two complex solutions.
Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be
Answer:
The maximum guaranteed waiting time should be of 18.37 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.
This means that [tex]\mu = 15, \sigma = 2.4[/tex]
The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?
The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.405 = \frac{X - 15}{2.4}[/tex]
[tex]X - 15 = 1.405*2.4[/tex]
[tex]X = 18.37[/tex]
The maximum guaranteed waiting time should be of 18.37 minutes.
using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.
Answer:
See below
Step-by-step explanation:
Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:
(ax+p)(x+q) where p+q=b and pq=c
A can holds 753.6 cubic centimeters of juice. The can has a radius
of 4 centimeters. What is the height of the can? Use 3.14 for π and round to the nearest tenth. PLS HELP :D
Answer:
result = 15cm
Step-by-step explanation:
Hi! to can solve this, we have to keep in mind this formulas:
1) Area of a circuference:A1 = π [tex]r^{2}[/tex] ; where r = radius
2) Area of a cylinder:A2 = (π [tex]r^{2}[/tex]) * (h) ; where h= height
now we solve:
first, we have to calculate the area of the circumference
A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]
then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:
A2 = (π [tex]r^{2}[/tex]) * (h)
[tex]753.6cm^{3}[/tex] = [tex]50.24cm^{2}[/tex] * (h)[tex]\frac{ 753.6cm^{3} }{50.24cm^{2} }[/tex] = hh = 15cm
A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times would the number 5 be rolled?
A:9
B:15
C:51
D:134
Answer:
51
Step-by-step explanation:
34/200=.17
.17×300= 51
Mt. Lincoln In Colorado Is Fourteen Thousand, Two Hundred Eighty Six Feet High.
How Is This Number Written Using Digits?
Answer:
The hight written in digital is 14286
SOMEONE HELP PLEASE! i’m stuck!! HELP IF YOU WANT THE BRAINIEST!!
Tameka wants to build a circular go-cart track in her backyard.
a. If she wants the track to have a circumference of 150 feet, what does the radius of the track need to be?
b. If she wants the track to have a circumference of 200 feet, what does the radius of the track need to be?
c. If she wants the track to have a circumference of 400 feet, what does the diameter of the track need to be?
1/2 divided by 2 3/4
Answer:
2/11
Step-by-step explanation:
2 3/4 = 11/4
1/2 x 4/11 = 4/22 *when you divide a something by a fraction, you flip that fraction to get its reciprocal*
4/22 simplified is 2/11
While traveling to his grandmother's house for Christmas, George fell asleep halfway through the journey. When he awoke, he still had to travel half the distance that he had traveled while sleeping. For what part of the entire journey did he sleep?
he slept for 1/2 of the trip and then slept have the distance that was left so that would be 1/2 divided by 2 equals 1/4 so 1/2 plus 1/4 equals 3/4 so george has 1/4 of his journey left.
George was asleep for 33.3% of the journey.
When George went to sleep, he was halfway through to his grandmother's house which means that he was left with 1/2 of the journey.
When he woke up, he was still left with half of the distance he had slept. If we made this an expression and assume the percentage of the journey he slept was x, it would be:
1/2 of the journey = 1/2x + x
1/2 = 1.5x
x = 1/2 ÷ 1.5
x = 33.3%
George therefore fell asleep for 33% of the journey.
Find out more at https://brainly.com/question/14523771.
What is the angle of X
Answer:
∡x°=35°
Step-by-step explanation:
x° and 35° are vertical angles, so they are congruent to each other. Therefore, the measure of angle x° is also 35°
In your own words, state what you know about piecewise-defined function. Use complete sentences.
Answer:
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
Use the partial quotients algorithm to find the value of 966 +23
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
what's 965 divided by 7
Answer:
137(the exact amount 137.8571428571429)
Step-by-step explanation:
If i did the Whole thing with paper it would take very long i used calculator instead
Answer:
137.857142857
Is the answer
Using 3.14 for , what is the volume of the cylinder?
O A. 21.771 cubic meters
O B. 32.656 cubic meters
O C. 65.312 cubic meters
O D. 169.811 cubic meters
Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =
Answer: 6
Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c
Trigonometry: True/False question posted on the image
Answer:
true
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
the perimeter of a triangle = sum of the side lengths
A right angled triangle has a 90 degree angle and two other sides that sum up to 90 degrees. this makes the sum of angles 180 degrees
What is g(x)?
A. g(x) = -x2
B. g(x) = -2
C. g(x) = -|x|
D. g(x) = -x
Answer:
C.
g(x) = -|x|
Step-by-step explanation:
Absolute value vertex. In this case, the vertex for y=−|x|y=-|x| is (0,0)(0,0)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)(-∞,∞)
Over the past ten years, the population in a small city decreased by 12%, resulting in a current population of 105,000 people. What was the approximate population of the city ten years ago?
Answer:
119400
Step-by-step explanation:
The approximate population of the city was 119400
) 1 point 15) At the end of a game, the Wildcats have 2 points and the Lancers have 6 points. Cassie says the Lancers scored 4 more points than the Wildcats. Mark says the Lancers scored 3 times as many points as the Wildcats. Who is correct? * Cassie is correct Mark is correct Neither is correct Both are correct
Frank writes his name in both French and English with chalk, pen, pencil and marker. How many different ways did he write his name?
Answer:
8
Step-by-step explanation:
There are 4 possible ways he could have written it: chalk, pen, pencil, and marker.
There are 2 ways he wrote it: French and English
4*2=8
He wrote his name in 8 different ways.
What is the surface area in square centimeters of the figure shown below?
11 cm
6 cm
4 cm
Answer:
268 cm²
Step-by-step explanation:
Surface area = (front + back + left side + right side + top + bottom) areas
since pairs of areas are the same (front back, left rigth, top bottom)
Surface area = (2 · front + 2 · left side + 2· top) areas
= 2 · 11 · 4 + 2 · 11 · 6 + 2 · 4 · 6
= 268 cm²
I need help I’m in math class! Help please
Answer:
1350π [tex]cm^3[/tex] should be your answer
Step-by-step explanation:
15 x 15 x π = 225π
225π x 6 = 1350π
How do I evaluate:
(-1000)1/3
9514 1404 393
Answer:
-10
Step-by-step explanation:
The first step is to write what you mean. We think you mean (-1000)^(1/3).
If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...
-1000 = (-10)^3
Then your expression is ...
(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10
__
Some calculators can evaluate this for you (see attached).
Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:
(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10
_____
Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.
what is prison break
Answer:
Erm.
The game on robl. ox
Or real life?
Breaking out of prison is real life
In robl. ox, its also kinda like that, but you steal things
Step-by-step explanation:
Can I have brainest. Im trying to level up :3
Thanks!
Have a good day!
PLEASE HELP ASAP
A cone's circular base has a diameter of 6 feet. The volume of the cone is 176 cubic feet. What is the approximate height of the cone?
Answer:
18.68 feet
Step-by-step explanation:
- Just did the quiz
- Also plugged it into a calculator I found online
Answer:
18.68 feet
Step-by-step explanation:
it passed the quiz