Answer:
3
Step-by-step explanation:
V=πr2h
3
Solving for r
r=3V
πh=3·47.1
π·5≈2.99924
Answer:
3
Step-by-step explaination
Solve 7x + 2 =4x+11 please i have 100 points to offer
Answer:
x=3
Step-by-step explanation:
7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side
7x-4x=11-2 ---> combine like terms
3x=9 ---> divide by 3
x=3
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
7x + 2 = 4x + 11
Step 2: Solve for x
Subtract 4x on both sides: 3x + 2 = 11Subtract 2 on both sides: 3x = 9Divide 3 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 7(3) + 2 = 4(3) + 11Multiply: 21 + 2 = 12 + 11Add: 23 = 23Here we see that 23 does indeed equal 23.
∴ x = 3 is the solution to the equation.
5/9 x 9=?
simplify if possible and show the work
What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.
By the binomial theorem,
(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴
(1 + 2x)³ = 1 + 6x + 12x² + 8x³
In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying
• x⁴ and 1 to get x⁴;
• 4x³ and 6x to get 24x⁴;
• 6x² and 12x² to get 72x⁴; and
• 4x and 8x³ to get 32x⁴.
Add these up:
x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴
Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?
I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.
Answer: The fraction of the windows remaining for Kendra to wash=4/15
Step-by-step explanation:
Step 1
The fraction of windows washed on Monday = 2/5
The fraction of windows washed on Tuesday= 1/3
Fraction remaining to be washed = Total windows - Fraction already washed
Step 255
Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15
The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the
Fraction remaining to be washed = 1- Fraction already washed
= 1- 11/15 = 15/15-11/15= 4/15
Answer:
Step-by-step explanation:
Lindsey mowed 1/4 of her lawn
in 1/2 of an hour.
How much of her lawn can
she mow in 1 hour?
Answer:
2/4
Step-by-step explanation:
Answer:
1/2 her lawn.
Step-by-step explanation:
If she mowed a quarter in half an hour then you just need to multiply 1/4 by 2 since 1 hour is double half an hour.
Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.
Answer:
11 3/5 containers
Equivalent to 11.6 containers
Step-by-step explanation:
Total pounds of potato salad = 14 1/2 pounds
Pounds in each container = 1 1/4 pounds
How many containers does she need?
Number of containers needed = Total pounds of potato salad / Pounds in each container
= 14 1/2 ÷ 1 1/4
= 29/2 ÷ 5/4
= 29/2 × 4/5
= (29×4) / (2×5)
= 116/10
= 11 6/10
= 11 3/5 containers
Equivalent to 11.6 containers
pls, help me 16 points :)
Answer:
I went through and graphed them all, and the graph for A matched perfectly :)
Step-by-step explanation:
Help please thank you
Please help me please
Answer:
I think this AB would equal 12! Let me know if its right or wrong :3
Step-by-step explanation:
The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )
Answer:
The slope is 7/5
Step-by-step explanation:
Here, we want to find the slope of the line
We use the slope equation
m = (y2-y1)/(x2-x1)
m = (35-70)/(25-50) = -35/-25 = 7/5
what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5
Or simply put
To form a purple color, add 7 part red to 5 parts blue drops
if the original quanity is 10 and the new quanity is 12, what is the percent increase
Answer:
+20%
Step-by-step explanation:
None
Answer:
Step-by-step explanation:
20%
Find the difference.
60°
30°
40"
50"
40
Is 3x - y = -6 an euation for a graph
Answer:
no this can't become a number that can be graphed
Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41 is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?
Answer:
332,193 years
Step-by-step explanation:
From the question above, we are to calculate the time in an half life question, hence, the formula is given as
t = In(Nt/No) ÷ -(In2/t½)
Where
t = time is takes for an substance to decay or reduce
Nt = Amount of sample after time = 2g
No = Initial amount of sample = 20g
t½ = Half life = 100,000 years
Hence,
t = In(2/20) ÷ (In 2/ 100,000)
t = 332192.80948874 years
Approximately = 332,193 years
Write the ratio as a fraction in simplest form.
14 feet to 8 yards
Answer:
1 inch-8 lot of math make me brainliest
Step-by-step explanation:
3ft-8yd
or 36 in- 288in
18-144
9-72
3-24
What is the slope and does it pass?
Answer: no.
Step-by-step explanation:
it's 1 tenth
Determine the value of −14.1 × (-7.33)
Answer:
Multiply -14.1 by -7.33.103.353 ?
Step-by-step explanation:
Sorry I'm not very good at math hope this helps..
dang. Yall need to stop harrassing a girl for what she asks for. If she asks for perfume, she gets perfume. Nothing wrong with that. Comment if you agrreee/
Answer:
._.
Step-by-step explanation:
If she has money, she gets stuff. If she broke, doesn't work/help, and expects another person to buy it for her, she ain't gonna get anything. Either way, she better work for that perfume.
Answer:
h*ll yes theyre still human i dont know why people care about that stuff
Step-by-step explanation:
if they deserve it then who cares
What is the answer? 2c-5 C=4
Answer:
2(4)-5=3
we know that C is going to be multiplied by 2 and the value of C=4
so 2*4 = 2(4)
2(4)-5
2*4=8
8-5=3
So, the answer is 3
Please Help............
Answer: number 1
Step-by-step explanation:
Edward deposited $6,500 into a savings account 4 years ago. The simple interest rate is 5%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest=$• • years
Edward earned $ in interest.
Answer:
Edward earned $1300 interest in 4 years.
Step-by-step explanation:
Principal Amount = Initial Investment = $6500
Time t = 4 years
Interest rate r = 5% = 0.05 (it is taken in decimal i.e 5/100 = 0.05)
We need to find interest.
The formula used is: [tex]Interest= Principal\times r \times t[/tex]
Putting values and finding Interest
[tex]Interest= Principal\times r \times t\\Interest=6500\times 0.05 \times 4\\Interest= 1300[/tex]
So, the interest = $1300 in 4 years.
Edward earned $1300 interest in 4 years.
what is 32z-48 factored with gcf
Answer:
We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.
Step-by-step explanation:
What is the GCF of 32and 48?
16
Greatest common factor (GCF) of 32 and 48 is 16.
I am doing a percent equation problem and I need help please here’s the question 20% of blank =10
Answer:
[tex]50[/tex]
Step-by-step explanation:
Let [tex]x =[/tex] blank (for convenience)
[tex]20\%x=10[/tex]
[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)
[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)
[tex]x=50[/tex]
∴ Blank = 50
Hope this helps :)
Assuming no denominator equals zero, which expression is equivalent to the given expression?
r-5/9r/5-r/3r^2
A.
-3/r
B.
r/3
C.
-r/3
D.
r-5/5-3r
Answer: C. -r/3
Step-by-step explanation: I got a 100% with that as my answer. I hope it helps.
Please help pass my final :(
Answer:
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
Step-by-step explanation:
Given
∠1 = 70°
To determine
We need to determine angle ∠5
From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.
We know that when two lines are parallel, their corresponding angles are equal.As angle ∠5 is the corresponding angle of angle ∠1 = 70°.
Also, the corresponding angles are equal here.Therefore,
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
5x-7=3 whats the answer
Answer:
x=2
Step-by-step explanation:
5x-7=3
Add 7 to each side
5x - 7+7 = 3+7
5x = 10
Divide each side by 5
5x/5 = 10/5
x = 2
Answer:
x = 2
Step-by-step explanation:
5x-7=3
Move the 7 from the left side. So you'll add it to both sides
5x-7(+7)=3(+7)
Making your formula
5x=10
Then divide 5x on both sides
Since 5x divided by itself is one it's just x
10 divided by 5 is 2
So the answer is x = 2
I NED HELP lol
A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices
$40.00
$62.50
$70.00
$60.00
Answer:
the answer is 60 dollars.
====================================================
Work Shown:
x = original price
20% = 20/100 = 0.20
20% of x = 0.20x = discount
x - 0.20x = 0.80x = final price
0.80x = 50
x = 50/0.80
x = 62.50
The original price of the jeans was $62.50
---------------
Note how,
20% of x = 0.20*x = 0.20*62.50 = 12.50
Tara saves $12.50 (this is the discount).
The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.
The price of mangoes in a grocery store is 3 for $5. How much will 5
mangoes cost? Round the answer to the nearest hundredth.
Answer:
8 and one thirds
Step-by-step explanation:
5 times 5 is equal to 25 and 25 divided by 3 is 8.3333
Answer:
$8.33
Step-by-step explanation:
So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.
I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33
Which of the following represent an exponential growth function?
Answer:
[tex]y=3^x[/tex]
Step-by-step explanation:
Exponential Growth Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential growth function is expressed as:
[tex]C(t)=C_o\cdot(1+r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the (positive) growth rate, expressed in decimal
Since r is positive, 1+r is greater than 1.
From the available options, only the last two of them correspond to exponential functions according to the definition above.
Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.
The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is
[tex]\mathbf{y=3^x}[/tex]
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
