Answer:
1/676
Step-by-step explanation:
There are 52 cards
P(Ace of spades) = Number of aces of spades / total = 1/ 52
The replace the card
There are 52 cards
There are 4 kings
P(king) = number of kings / total = 4/52 = 1/13
P( ace of spades , replace, any king) = 1/52 * 1/13 = 1 /676
28a-4a^2
Helpp it’s simplifying
Answer:
[tex]{ \tt{ = 28a - {4a}^{2} }} \\ = 4a(7 - a)[/tex]
A pie chart is to be drawn for Cathy’s spending.
Cathy spent a total of $800 last month.
She spent $120on entertainment last month.
Calculate the size of the angle for entertainment in the pie chart.
Answer:
54°
Step-by-step explanation:
$800 is 360° of a pie chart
$120 is ?° of the pie chart
?° = (360*120)/800 = 54°
*if you need the answer to be in radiants
(54*π) /180 = 0.942478 rad
Step-by-step explanation
Given a polynomial f(x), if (x − 6) is a factor, what else must be true?
f(0) = −6
f(0) = 6
f(−6) = 0
f(6) = 0
Answer:
below.
Step-by-step explanation:
f(6) = 0 because (x - 6) ---> (6 - 6) = 0
Without actual division prove that x4 +2x3 -2x2 +2x -3 is exactly divisible by
x2 +2x-3
Answer:
Step-by-step explanation:
[tex]\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1[/tex]
The house Trevor's family lives in has 666 people (including Trevor) and 333 bathrooms. In the past month, each person showered for an average of 480480480 minutes and used an average 727272 liters of shower water (over the entire month). Water costs 0.200.200, point, 20 dollars per liter.
How much money did Trevor's family spend, in total, on shower water in the past month?
Answer:
$86.40
Step-by-step explanation:
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.
How much money did Trevor's family spend, in total, on shower water in the past month?
Total people in Trevor's family = 6
Number of bathrooms = 3
Time each person spent to shower = 480 minutes
Quantity of water each person use per month = 72 liters
Cost of water per liter = $0.20
Total amount spent on shower water = Total people in Trevor's family × Quantity of water each person use per month × Cost of water per liter
= 6 × 72 × 0.20
= $86.40
Total amount spent on shower water = $86.40
Find the distance from the point (9, -2) to the line y= 3/2x+ 4.
A)117 units
B)85 units
C)6 units
D)177 units
Answer:
[tex] \sqrt[3]{5} \: units[/tex]Step-by-step explanation:
correct me if I am wrong
is this righ or not please say me
Answer:
Step-by-step explanation:
It's right
Help me ASAP with this problem
Answer:
114cm
Step-by-step explanation:
3×8×4=96
3×3×2=18
96+18=114
please help me add this fractions(show work)
Answer:
Step-by-step explanation:
Solve: 3(4-2x)=-x+1
Answer:
x = 11/5
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3(4 - 2x) = -x + 1
Step 2: Solve for x
[Distributive Property] Distribute 3: 12 - 6x = -x + 1[Addition Property of Equality] Add x on both sides: 12 - 5x = 1[Subtraction Property of Equality] Subtract 12 on both sides: -5x = -11[Division Property of Equality] Divide -5 on both sides: x = 11/5Answer:
x=0.4545454
Step-by-step explanation:
3(4-2x)=-x+1
12-6x=-x+1
12-1=-x+6x
11=5x
0.4545454=x
how u do the sum pls
Answer:
[tex]{ \tt{x + 36 \degree + 48 \degree = 360 \degree}} \\ { \tt{x = (360 - 48 - 36) \degree}} \\ { \tt{x = 276 \degree}}[/tex]
Can someone help me with this math homework please!
Answer:
8/5
Step-by-step explanation:
[8-(-8)]/[2-(-6)] = 16/10 = 8/5
The snack bar at your school has added sushi to its menu. The ingredients for one roll include sushi rice, seaweed sheets, cucumbers, cream cheese, and 2 oz of smoked salmon. One roll can be cut into 9 servings. Write an expression for the amount of salmon needed to make s servings of sushi. How much salmon is needed to make 18 servings? 36 servings? 90 servings? 100 servings?
Answer:
The answer si:
- 16 servings - 6 oz of salmon
- 24 servings - 9 oz of salmon
- 80 servings - 30 oz of salmon
- 100 servings - 37.5 oz of salmon
1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.
Now, let's made some proportions:
16 servings:
3 oz is for 8 servings, how much oz is for 16 servings:
3 : 8 = x : 16
x = 3 · 16 ÷ 8 = 6 oz
24 servings:
3 oz is for 8 servings, how much oz is for 24 servings:
3 : 8 = x : 24
x = 3 · 24 ÷ 8 = 9 oz
80 servings:
3 oz is for 8 servings, how much oz is for 80 servings:
3 : 8 = x : 80
x = 3 · 80 ÷ 8 = 30 oz
100 servings:
3 oz is for 8 servings, how much oz is for 100 servings:
3 : 8 = x : 100
x = 3 · 100 ÷ 8 = 37.5 oz
Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4). A model with 3 rows of 8 and 3 rows of 4. What is the missing value in Ming's equation?
Given:
The equation is:
[tex]24+12=\_\_\times (8+4)[/tex]
A model with 3 rows of 8 and 3 rows of 4.
To find:
The missing value in Ming's equation.
Solution:
We have,
[tex]24+12=\_\_\times (8+4)[/tex] ...(i)
A model with 3 rows of 8 and 3 rows of 4. Using this information, we get
[tex]24+12=3\times 8+3\times 4[/tex]
Taking out the common factor 3, we get
[tex]24+12=3\times (8+4)[/tex] ...(ii)
On comparing (i) and (ii), we get the missing value is 3.
Therefore, the missing value in Ming's equation is 3.
Answer:
The answer is A: 3
Step-by-step explanation:
Whats the best definition
of slope
Answer:
The slope of a line is a number that defines the direction + steepness of a linear function. It can be found using the formula rise/run.
Step-by-step explanation:
Not sure how to explain this otherwise but that is what the slope is. ^
Answer:
The slope is the steepness of a line sometimes referred to as "rise over run".
Slope is defined as the ratio of the vertical change between two points.
slope= rise/run
OAmalOHopeO
PLSSS HELP I NEED IT REALLY BAD
1.
(05.01 LC)
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
A square with a side length of 4 units is shown. A diagonal is drawn with one section shaded inside the figure.
(5 points)
fraction 1 over 4 ⋅ 4 ⋅ 4
fraction 1 over 2 ⋅ 4 ⋅ 4
fraction 1 over 2 ⋅ 2 ⋅ 2
fraction 1 over 4 ⋅ 2 ⋅ 2
Answer:
If a square has a side length of 4, then the area is 16.
A = [tex]s^{2}[/tex] where s = side length.
If a diagonal is drawn to create 2 halves, then the area of each half is 8.
So most likely the answer you are seeking is: [tex]\frac{1}{2}[/tex] ( 4 · 4 )
Solve the systent of equations algebraically . 5x - 3y = 6; 6x - 5y = 10
Step-by-step explanation:
x will be 0
y will be -2
thats the answer babe
Ferrero Rocher chocolates are manufactured in the shape of spherical balls, which are
wrapped in foil. The Ferrero Rocher Company introduced the Ferrero collection, which
is a package of 15 chocolates, one layer deep in a 3 chocolate x 5 chocolate orientation.
A single chocolate has a diameter of 3.2 cm.
Answer:
N/A
Step-by-step explanation:
What's the question to the question?
The equation of a straight line is given by 3x - 2y - 6 = 0. Find the:
i) Gradient of the line;
ii) Y - intercept
Need help on this!!!
Answer:
7.8391
Step-by-step explanation:
Answer:
Step-by-step explanation:
The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:
[tex]e^{ln(x+3)}=e^5[/tex]
That leaves us on the left with simply
x + 3
On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:
[tex]x=e^5-3[/tex] and
[tex]e^5=148.4131591[/tex], so
x = 148.4131591 - 3 and
x = 145.4132, the first choice listed.
If {3,4,5} is the domain of function f:x --> 2x-1, find the range.
Answer:
Range = {5, 7, 9}
Step-by-step explanation:
Range is the set of values that are the results of respective values of x when placed in the function f(x).
[tex] \mathfrak{\blue {\underline{\implies If\: x = 3 }}} [/tex]
f(3) = 2 × 3 - 1
f(3) = 6 - 1
f(3) = 5
[tex] \mathfrak{\blue{\underline{\implies If \:x = 4 }}} [/tex]
f(4) = 2 × 4- 1
f(4) = 8 - 1
f(4) = 7
[tex] \mathfrak{\blue{\underline{\implies If\: x = 5 }}} [/tex]
f(5) = 2× 5 - 1
f(5) = 10 - 1
f(5) = 9
Therefore, the range is the set of all these values :-
Range = {5, 7, 9}
Two numbers have a difference of 28. If the sum of the squares of the numbers is
392, what are the two numbers?
Answer:
The two numbers are 182 and 210. I hope this will help you.
Simplify 8(x + 1) - 12x (PLS HELP)
[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]
[tex]\tt8(x + 1) - 12x \\ = \tt8x + 8 \times 1 - 12x \\ = \tt8x + 8 - 12x \\ = \large\boxed{\tt{\color{pink}{ - 4x + 8}}}[/tex]
[tex]\color{pink}{==========================}[/tex]
#CarryOnLearning
[tex] \sf \: 8(x + 1) - 12x \\ = \sf8x + 8 - 12x \\ \sf = 8x - 12x + 8 \\ = \underline{\bf - 4x + 8}[/tex]
Which of the following functions is graphed below?
(picture included)
Answer:
B
Step-by-step explanation:
the graph has been shifted 4 units to left, and 2 units down.
Answer:
Graph shifted down by 2 ... -2
graph slid 4 to the left ... + 4
B is the answer y = |x+4| -2
Step-by-step explanation:
Solve the following word problems:
Answer:
Step-by-step explanation:
SP = ₹ 2250
Loss = 1/2% = 0.5%
[tex]CP = \frac{100}{100-loss}*SP\\\\=\frac{100}{99.5}*2250\\\\[/tex]
= ₹ 2261.31
b) Profit = 15%
[tex]SP = \frac{100+profit}{100}*CP\\\\= \frac{115}{100}*2261.31[/tex]
= ₹ 2600.51
Solve the simultaneous equation x + 2y =2 and 2x + 5y = 4
Answer:
(2,0)
Step-by-step explanation:
2 (x + 2y) = (2)
2x + 4y = 4
- 2x + 5y = 4
-1y = 0
y = 0
2x + 5(0) = 4
2x = 4
x = 2
Answer:
x=2 y=0
Step-by-step explanation:
solve for y
x+2y=2
x=2-2y
2(2-2y)+5y
4-4y+5y=4
4+y=4
y=0
plug into equation
2x+5(0)=4
x=2
and
x+2(0)=2
x=2
Solve :2x/5 - 3x/4 = 3/10
Answer: -6/7
Step-by-step explanation:
[tex]2x/5-3x/4=3/10\\(8x-15x)/20=3/10\\-7x/20=3/10\\-7x=(3/10)*20\\-7x=6\\x=-6/7[/tex]
We have to find,
The required value of x.
Given that,
→ 2x/5 - 3x/4 = 3/10
Then let's solve for the value of x,
→ 2x/5 - 3x/4 = 3/10
→ (8x - 15x)/20 = 3/10
→ -7x/20 = 3/10
→ -7x = (3/10) × 20
→ -7x = 3 × 2
→ -7x = 6
→ [x = -6/7]
Hence, the value of x is -6/7.
at the school festival , raffle tickets were sold at $1 each, or 3 for $2. At the end of the day, 15 books of tickets, each containing 20 tickets, were sold. the money collected from the sale was $236. How many tickets were sold at 3 for $2?
Answer:
you have to take away you word they said how many
Abigail picked 72 pears. Sandeep picked p fewer pears than Abigail. Choose the expression that shows how many pears Sandeep picked.
Answer:
72-p=(the number of pears sandeep picked)
Step-by-step explanation:
Answer:
72 - p
Step-by-step explanation:
When it says a number fewer, that means to put it behind rather than in the front.
The product of two algebraic expression is 4x²-9.If one of the expression is (2x+3),find the other expression
Answer:
Solution given:
we have formula
a²+b²=(a+b)(a-b)
now
4x²-9
(2x)²-3²
using formula
(2x+3)(2x-3)
other expression is 2x-3.
Answer:
( 2x - 3 )
Step-by-step explanation:
4x² - 9 is a perfect square meaning it can be factored into 2 expressions,
( 2x + 3 ) ( 2x - 3 )
