Answer:
32.
1st get the total age of the students
x/20 = 11
x=11x20
x =220 (total age of students)
add y ( teachers age) to the equation
(220 + y)/21=12
y= 32
Answer:
32
Step-by-step explanation:
20 * 11= 220
21 * 12= 252
252-220=32
The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
Match each indicated measure in the first column for
⊙
O
⊙O.
Answer:
Step-by-step explanation:
By the property,
"Measure of the intercepted arc is double of the inscribed angle"
m(arc BC) = 2×48°
= 96°
By using the same property,
m(arc AC) = 2 × m(∠B)
m(∠B) = [tex]\frac{110}{2}[/tex]
= 55°
m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]
48° + 55° + m(∠C) = 180°
m(∠C) = 180° - 103°
= 77°
m(arc AB) = 2 × (m∠C)
= 2×77
= 154°
Bill has 40 apples. Laurie has 8 times as
many apples.
If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)
Answer:
320man zaans
Step-by-step explanation:
In a bowl that has 12 jolly ranchers candies, there are 3 Yellow 5 Red and 4 Green. you pick two of these Jolly Ranchers from the bowl WITHOUT REPLACEMENT.
1 find the probability that both candies are red?
Answer:
0.15 or 20/132 or 5/33 or 15%
Step-by-step explanation:
5/12 is the probability for the first red candy.
The question says "without replacement" meaning that if one candy is picked it will NOT be picked again and it will not go back to the original bowl. The second red candy is 4/11 (one red candy was already taken out from the first event). Multiply 5/12 and 4/11 to get 20/132. That is simplified to be 5/33 but if you divide it will 0.15 and as a percent it would be 15%.
factor the trinomial completely. 10x^2+7x-12
Answer: i think the answer is (5x - 4)(2x +3) if it id wrong i am sorry ok
don't forget to drop a heart
Answer:
the answer is (2x + 3)(5x - 4)
Step-by-step explanation:
What Is the dependent variable the shoe size or the height
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
Mrs. Crosland asked students to factor the expression 282
8. The students offered the answers shown in the box.
Carlos:
Danny
Trener
2(14%
74x1)
407x - 2)
Which student(s) offered answer(s) equivalent to the original expression?
only Danny
only Irene
both Carlos and Danny
both Carlos and Irene
Well formatted version of the question can be found in the picture attached below :
Answer:
Both Carlos and Irene
Step-by-step explanation:
Given the expression (28x - 8)
Carlos : 2(14x - 4)
Danny : 7(4x - 1)
Irene : 4(7x - 2)
The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :
Carlos :
2(14x - 4)
2*14x - 2*4
28x - 8
Danny :
7(4x - 1)
7*4x - 7*1
28x - 7
Irene :
4(7x - 2)
4*7x - 4*2
28x - 8
From.the expanded solutions obtained ;
Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct
E is directly proportional to f.it E is 24 then f is 6 what is E when f is 24
Answer:
E = 96
Step-by-step explanation:
Given the following data;
E = kf .......equation 1.
When E = 24, f = 6
First of all, we would have to find the constant k;
Substituting the values into eqn 1, we have;
24 = k6
k = 24/6
k = 4
To find the value of E, when f = 24
E = kf
Substituting into the equation, we have;
E = 4*24
E = 96
PLZ HELP PLZZZZZZZZZZZZZZZZ
Answer:
d
Step-by-step explanation:
Determine the intercepts of the line.
y + 5 = 2(x + 1)
y-intercept:
T-intercept:
Answer:
3 5 minus 2 equal 3 plus 1 equals 4
brainly plus if u help
Answer:
huh
Step-by-step explanation:
Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. The manufacturer of the flour states that 5% or less of the bags are underweight. What is this weight?
Find the z-table here.
79.7 ounces
80.4 ounces
80.9 ounces
81.3 ounces
Answer:
80.4
Step-by-step explanation:
Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?
Answer:
0.8
Step-by-step explanation:
Answer: 1 minute and 25 seconds
Step-by-step explanation:
Find the area of the region enclosed by the graphs of these equations. (CALCULUS HELP)
Answer:
[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsGraphingExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Area - Integrals
U-Substitution
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
F: y = √(15 - x)
G: y = √(15 - 3x)
H: y = 0
Step 2: Find Bounds of Integration
Solve each equation for the x-value for our bounds of integration.
F
Set y = 0: 0 = √(15 - x)[Equality Property] Square both sides: 0 = 15 - x[Subtraction Property of Equality] Isolate x term: -x = -15[Division Property of Equality] Isolate x: x = 15G
Set y = 0: 0 = √(15 - 3x)[Equality Property] Square both sides: 0 = 15 - 3x[Subtraction Property of Equality] Isolate x term: -3x = -15[Division Property of Equality] Isolate x: x = 5This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.
We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).
Step 3: Find Area of Region
Integration Part 1
Rewrite Area of Region Formula [Integration Property - Subtraction]: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx - \int\limits^d_c {g(x)} \, dx[/tex][Integral] Substitute in variables and limits [Area of Region Formula]: [tex]\displaystyle A = \int\limits^{15}_0 {\sqrt{15 - x}} \, dx - \int\limits^5_0 {\sqrt{15 - 3x}} \, dx[/tex][Area] [Integral] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = \int\limits^{15}_0 {(15 - x)^{\frac{1}{2}}} \, dx - \int\limits^5_0 {(15 - 3x)^{\frac{1}{2}}} \, dx[/tex]Step 4: Identify Variables
Set variables for u-substitution for both integrals.
Integral 1:
u = 15 - x
du = -dx
Integral 2:
z = 15 - 3x
dz = -3dx
Step 5: Find Area of Region
Integration Part 2
[Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = -\int\limits^{15}_0 {-(15 - x)^{\frac{1}{2}}} \, dx + \frac{1}{3}\int\limits^5_0 {-3(15 - 3x)^{\frac{1}{2}}} \, dx[/tex][Area] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{15} {u^{\frac{1}{2}}} \, du + \frac{1}{3}\int\limits^0_{15} {z^{\frac{1}{2}}} \, dz[/tex][Area] Reverse Power Rule: [tex]\displaystyle A = -(\frac{2u^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15} + \frac{1}{3}(\frac{2z^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15}[/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(-10\sqrt{15}) + \frac{1}{3}(-10\sqrt{15})[/tex][Area] Multiply: [tex]\displaystyle A = 10\sqrt{15} + \frac{-10\sqrt{15}}{3}[/tex][Area] Add: [tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
Fred bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many cards did Fred start with ?
Helpp I need this todayyyyyy
Answer:
86 - 9 = 77
Step-by-step explanation:
When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X
b. Compute E[X]
Answer:
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) = 1.9
Step-by-step explanation:
From the question above:
X ; number of misses
For :
X = 0 ; P(X = 0) = 1/3 = 0.333
X = 1 ; misses first ; succeeds on second
P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167
X = 2 ; misses first, misses second, succeeds on third
P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10
X = 3 :misses first, misses second, misses third succeeds on fourth
P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067
X= 4
P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) :
Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)
0 + 0.167 + 0.2 + 0.201 + 1.332
= 1.9
hotel has 44 storeys Each storey has 18 rooms
What is the total number of rooms in the hotel?
Answer:
792
Step-by-step explanation:
helpppppp ill give brainliest answer if you know
Answer:
16 in squared
Step-by-step explanation:
HELP PLEASE
68 POINTS!
BRAINLIEST
You can zoom in on the photo for it to be clearer!!
Write the equation of a line that passes through the point (1,4) and has a slope of 9.
Answer:
y=9x-5
Step-by-step explanation:
You want to find the equation for a line that passes through the point (1,4) and has a slope of 9.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 9. So you can right away fill in the equation for a line somewhat to read:
y=9x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,4). When x of the line is 1, y of the line must be 4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the 9 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (1,4).
So, why not plug in for x the number 1 and y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,4). y=mx+b or 4=9 × 1+b, or solving for b: b=4-(9)(1). b=-5.The equation of the line that passes through the point (1,4) with a slope of 9
is
y=9x-5
Martin had 25 pounds of grapes left. Which expression shows the pounds of grapes Martin has if he doubles his
current amount?
A. (2)+(2)(4/5)
B. (2)(2)+(4/5)
C. (2)(2)+(2)(4/5)
D.(2)+(2)+(4/5)
Answer:
C
Step-by-step explanation:
A farmer sells 8.5 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
6 kilograms of apples
Step-by-step explanation:
8.5-2.5=6
Hope I helped
The inner core of Earth begins about 3200 miles below the surface of Earth and has a volume of about 581,000,000 pi cubic miles. Approximate the radius of Earth. Round your answer to the nearest whole number.
Find the slope of the line that passes through the following points.
(2.10) and (5.8)
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
the value of the required slope can be calculated from:
[tex]s=\frac{y_1-y_2}{x_1-x_2};[/tex]
[tex]s=\frac{10-8}{2-5};[/tex]
finally,
[tex]s=-\frac{2}{3}.[/tex]
Note, the suggested option is not the only one.
Look at the picture please!!!!
Answer for 1:
8x + 10
Answer for 2:
2x + 1
Answer for 3:
-3x - 15
Answer for 4:
2x + 10
Answer for 5:
-3x - 5
Answer for 6:
-17x - 3
Answer for 7:
8x - 18
Answer for 8:
-x + 4
Answer for 9:
4.8x + 5.6
Answer for 10:
1.25x + 1
Answer for 11:
The Dolphins won 7x + 10 more points than the Jaguars
Answer for 12:
The sandwich costs x + 1.01 more than the drink
Answer for 13:
Tuition costs 7x + 25 more than fees
Tuition costs 7x + 72 more than rooms and board
Answer:
1. 9x squared + 34x +21
2. 2x + 1
3. -3x + 15
4. 2x + 10
5. 14x + 3
6. -17x - 3
7. 8x- 18
8. -x + 4
9. -4.8x + 5.6
10. -1.25x + 0.2
11. 7x-4
12. x + 1.01
13. 6x + 22
I think these are the correct answers. Sorry if I'm wrong. I hope this helped!
Step-by-step explanation:
Match each equation with the appropriate type of factoring.
1.
12x2−44x+7
2.
18x3−2x2+27x−3
3.
x2+5x−36
4.
4x2−81
5.
32x3−4
Difference of Squares
GCF
Grouping
Quadratic Trinomial a≠1
Quadratic Trinomial a=1
Which graph shows the sequence –7, –4, –1, 2, ...?
help me please
I need fast
Answer:
48 is the answer because if you were to have been remembering past questions that has that same picture but answered it would be 48
Can anyone help me with my homework
Step-by-step explanation:
1 = (-2,3)
2= (1,2)
3= (4,1)
4= (3,-3)
What is the product of 3/7x2/5
Answer:
0.1714285714285714
Step-by-step explanation: