The mean age of 5 people in a room is 33 years. A person enters the room. The mean age is now 37. What is the age of the person who entered the room?
Mean is the average,
The total ages with 5 people would be 5 x 33 = 165
the total ages with the 6th person is 6 x 37 = 222
The age of the 6th person is 222 - 165 = 57 years old.
3. A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit. *
Type your inequality AND your answer as a sentence.
The height of a penny t seconds after being dropped down a well is given by the product
of (10 - 3t) and (10+ 31). Find the product and simplify.
A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?
Answer:
7/25
Step-by-step explanation:
True or False? When finding the average rate of change if an exponential function, the interval [3, 5] means we want to use the points when x = 3 and when y = 5.
Answer:
yes
Step-by-step explanation:
Find the area of this shape
Answer:
433 m²
Step-by-step explanation:
Find the side length of the square first.
Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.
[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]
=[tex] \sqrt{51.84} [/tex]
= 7.2 m
Therefore the side of the square is
7.2 ×2
= 14.4 m
The area of the square
= 14.4²
= 207.36 m²
You are able to find the area if of the 2 triangles.
(7.2 × 9.6)÷2 ×2
= 69.12 m²
The height of the pentagon
= 25.4 - 7.2
= 18.2 m
The area of the pentagon
= (10+7.2) × 18.2 ÷ 2
= 156.52 m²
Add up the areas of the 3 polygons.
The area of the shape
= 207.36 + 69.12 + 156.52
= 433 m²
A company that sells yoga mats estimates its annual profit using the equation below, where x represents the wholesale price in dollars of 1 yoga mat, and P = annual profit in thousands of dollars.
P = 10x? - 280x + 1,600 When the expression on the right side of this equation is factored completely, which best describes the meaning of the factors?
The annual profit is zero at a wholesale price of $80 and zero at a wholesale price of $200.
The annual profit is zero at a wholesale price of $8 and maximized at a wholesale price of $20.
The annual profit is zero at a wholesale price of $80 and maximized at a wholesale price of $200.
The annual profit is zero at a wholesale price of $8 and zero at a wholesale price of $20.
Answer: (d)
Step-by-step explanation:
Given
Annual profit is given by
[tex]P=10x^2-280x+1600[/tex]
When it is factored then,
[tex]\Rightarrow 10x^2-280x+1600=0\\\Rightarrow 10\left( x^2-28x+160\right)=0\\\Rightarrow x^2-20x-8x+160=0\\\Rightarrow x(x-20)-8(x-20)=0\\\Rightarrow (x-8)(x-20)=0\\\Rightarrow x=8,20[/tex]
On factorization, we get that annual profit is zero at a whole prize of $8 and $20.
What is the area of a regular hexagon with perimeter of 90 ft?
Answer:
A=584.57
Step-by-step explanation:
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20
Complete Question
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?
Answer:
11 2/3 cups of flour
Step-by-step explanation:
From the above question:
6 dozen = 3 1/2 cups of flour
20 dozen = x
Cross Multiply
6 dozen × x = 20 dozen × 3 1/2 cups of flour
x = 20 dozen × 3 1/2 cups of flour/6 dozen
x = 20 × 7/2 /6
x = 140/2 ÷ 6
x = 140/2 × 1/6
x = 140/12 cups of flour
x = 11 8/12
= 11 2/3 cups of flour
Therefore, 11 2/3 cups of flour must be used to make 20 dozen.
Rewrite the equation by completing the square.
f(x)=x^2+x-30
f(x)=_(x+_)^2+_
pls helppppp
Answer:
f(x)= (x-5)(x+6)
Step-by-step explanation:
First, we find the factors of -30 that add up to +1
We can use 6 and -5
6+(-5)=1
f(x)= x^2+6x - 5x-30
then, we do group factorization
f(x)= x(x+6)- 5(x+6)
f(x)= (x-5)(x+6)
i hope this helps <3
answer this MATH question thank you :)
Answer:
K
Step-by-step explanation:
By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.
Answer: K
Answer:
post a new question so we can talk
Step-by-step explanation:
plss help mee
Ethan drew the diagram below with the points labeled as shown.
Which point shows where the perpendicular lines meet?
A. Point W
B. Point X
C. Point Y
D. Point Z
Answer:
B. Point X
Step-by-step explanation:
Perpendicular Lines meet at a 90° angle.
What is the probability that you will roll a dice and get 3, then get an ace from a deck, then (without replacing the other card) draw a black 2?
Answer:
que pasa parsero deja de esta mostrando el manda aquí vale
what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction
Answer: The answer is A
Step-by-step explanation:
A/4x+B/x+7
The correct form of the partial fraction decomposition for the given expression is Option A
What is Partial Fraction Decomposition ?Partial Fraction Decomposition is the method of simplifying rational expressions.
The expression given is
[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]
Applying Partial Decomposition
[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]
It can be written as
[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]
Therefore Option A is the answer.
To know more about Partial Factor Decomposition
https://brainly.com/question/2516522
#SPJ2
plsss help lollll :)))
Answer:
Step-by-step explanation:
V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure
A broker charges 70 per square foot to install windows how much does it cost to install the windows shown
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school. How many children in Eric's school have red hair?
Answer:
35
Step-by-step explanation:
525/75=7x5=35
The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.
Then the number of the children in Eric's school who has red hair will be
Let x be the number of the children. Then we have
[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
What is the volume of the prisim?
This prism measures 3 units by 4 units by 2 units.
Answer:
24
Step-by-step explanation:
3*4*2=24
please help I'm so confused
Answer:
It ends on the half circle
Step-by-step explanation:
You are looking at the base of each shape. It starts with a triangle so you go down. Then the base of that is a rectangle so you go down again and so on. Therefore your answer is a half circle.
Please help! I need this aS-0
Answer:
6.
18+18 = 36
hence
x = 16
7.
x = 7 × 2
x = 14
Find the value of x. Round your answer to the nearest tenth.
15
27
The value of the perpendicular x will be 7.64 units.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
Then the tangent of an angle is the ratio of the perpendicular and the base of the right-angle triangle.
tan θ = P / B
Then we have
tan 27° = x / 15
x = 7.64 units
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ1
A bank charge 5.25672% annual percentage rate on a home mortgage . What is this number rounded to the nearest tenth ?
A.5.1
B.5.25
C.5.3
D.6
Answer:
C. 5.3
step by step explanation:
Answer:
C. 5.3
Step-by-step explanation:
Question 11
2, 10, 50, ...
plz help me out!
Answer:
250
Step-by-step explanation:
Every number is multiplied by 5
2 x 5 = 10
10 x 5 = 50
50 x 5 = 250
23,69,207 find the 7th term
Answer:
16,767
Step-by-step explanation:
Geometric sequence formula: an = ar^n-1
Now, we just plug in the values.
an = 23(3)^7-1
an = 23(3)^6
an = 23(729)
an = 16,767
165 Students went on a filed trip. three buses were filled and 21 students traveled in cars. how many students were in each bus?
Answer:
48 students in each bus
Step-by-step explanation:
Find the side length x of the shelf
Answer:
the length of x must be 10
Step-by-step explanation:
After taxes, Olive brings home $2800 per month. She has decided that she would like to set aside 15% of her income for savings. How much will Olive save each month?
Answer:
420
Step-by-step explanation:
15%= 0.15
2800*0.15= 420
7/6 written as a mixed number
Answer:
1 1/6
Step-by-step explanation:
A mixed number is a proper fraction.
Answer:
[tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
We are given the fraction of [tex]\frac{7}{6}[/tex].
There are enough parts to make one whole, with one remaining.
Six sixths for the whole, the fraction would be one-sixth.
[tex]\frac{7}{6}=1\frac{1}{6}[/tex]
Hope this helps.
17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I
Help pleas I need help
Answer:
3.05
Step-by-step explanation:
Answer:
3 3/4 inches
Step-by-step explanation: