Answer:
144 cans
Step-by-step explanation:
Number of cans in the top row = 1
Number of cans in the second row = 3
Number of cans in the third row = 5
Here, the sequence obtained is [tex]1,3,5,...[/tex]
This forms an arithmetic progression with common difference as [tex]3-1=5-3=2[/tex]
Let d denotes the common difference and n denotes number of terms.
[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]
Here, [tex]S_n[/tex] denotes sum of n terms.
Put [tex]a=1,d=2,n=12[/tex]
[tex]S_{12}=\frac{12}{2}[2(1)+(12-1)2]\\=6[2+(11)2]\\=6(2+22)\\=6(24)\\=144[/tex]
Divide up to two decimal places.
12427 by 349
explanation please! thankyou.
12427÷349
35.60744985673352
= 35.61(2d.p)
Explanation:
When you divide it you get 35.60744985673352
To leave it in to 2 decimal place, you are to consider the the third number after the point which in this case is 7. So you check if it is greater than or equal to or less than 5. If it is greater than or equal to 5 you carry forward 1 to the next digit to the left which is 0 in this case which will give you 1, then you retrieve the number plus the first two decimals after the point to get 35.61(2d.p).
Select all true statements about the \large \sqrt{36}
√36 can be taken out of the root as 6. So it's a rational number.
About the perfect square, if we (√36)² then we get 36. and √36 is just 6.
For non-repeating decimal, √36 is already an integer.
Which equation justifies why nine to the one third power equals the cube root of nine?
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine
Answer:
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
After w weeks, a student has saved 25 + 8w dollars. How much money has the student saved after 15 weeks?
Answer:
145
Step-by-step explanation:
plugin 15 for w then solve it
The formula a=1w gives the area A of a rectangle with length I. What is the area in square feet of a rug with a length of 13 feet and a width of 6 feet
Answer:
78
Step-by-step explanation:
Multiply 13 by 6
Solve the following equation for x:
x8=9
Answer: x=9/8
Let's solve your equation step-by-step.
x(8)=9
Step 1: Simplify both sides of the equation.
8x=9
Step 2: Divide both sides by 8.
8x/8=9/8
x=9/8
Angellina enjoys swimming and often swims at a steady pace to burn calories. At this pace, angelinla can swim 1,700 meters in 40 minutes. Explan the unit rate in context of the situation
Answer:
h
Step-by-step explanation:
2a-2c=4a solve for a
Answer:
a = - c
Step-by-step explanation:
2a - 2c = 4a
- 4a - 4a
- 2a - 2c = 0
+ 2c + 2c
- 2a = 2c
/-2 /-2
a = - c
Answer:
[tex]\boxed {a = -c}[/tex]
Step-by-step explanation:
Solve for the value of [tex]a[/tex]:
[tex]2a - 2c = 4a[/tex]
-Take [tex]4a[/tex] and subtract it from [tex]2a[/tex]:
[tex]2a - 2c - 4a = 4a - 4a[/tex]
[tex]-2a - 2c = 0[/tex]
-Add both sides by [tex]2c[/tex]:
[tex]-2a - 2c + 2c = + 2c[/tex]
[tex]-2a = 2c[/tex]
-Divide both sides by [tex]-2[/tex] and dividing [tex]-2[/tex] undoes the multiplication by [tex]-2[/tex]:
[tex]\frac{-2a}{-2} = \frac{-2c}{-2}[/tex]
[tex]\boxed {a = -c}[/tex]
Therefore, the value of [tex]a[/tex] is [tex]-c[/tex].
3x + 0.8 = 18.8
solve for x
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
3x + .8 = 18.8
subtract .8
3x = 18
divide by 3
x = 6
In the number 543.872, what digit is in the hundreds place?
Answer:
7
it's too short. Write at least 20 characters to explain it well.
what is the answer to 10 x p + 7 x t
Answer:
10p +7t
Step-by-step explanation:
Hope this helps.
Bernie got 15 out of 35 math problems correct on his test. What percent did he
get correct?
he has 42.87 correct, you have to find the percentage of one number in relation to another with the formula percentage = ( number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage
which of the following does NOT represent the legs of the sides of a right tringle
Answer:
d
Step-by-step explanation:
what is scientific notation and why is it used ?
Scientific notation is a way of writing really big or really small numbers that take a lot of work to write out fully. Scientific notation is used because it's tiring to write out the numbers, which are usually very long. It's a way to shorten them while still knowing what the original number is.
(I need this done ASAP thanks) Jackson has three cartons of gumballs. There are 100 boxes in each carton. There are 100 gumballs in each box. The number of gumballs Jackson has can be expressed in the form a⋅10^b, where A is a prime number and B is whole number. What are the values of A and B?
Answer:
A = 3 and B = 2
Step-by-step explanation:
Here, we are interested in giving the values for A and B
We are told that there are three cartons, with 100 gun balls in each.
The total number of gum balls Jackson have will be 100 + 100 + 100= 300
Now, we want to express 300 in the form a•10^b
Thus;
300 = 3 * 100
3 * 100 = 3 * 10^2
where A = 3 and B = 2
Simplify.
-2(w+5) +6w
Answer:
4w - 10
Step-by-step explanation:
Step 1: Write expression
-2(w + 5) + 6w
Step 2: Distribute -2
-2w - 10 + 6w
Step 3: Combine like terms
4w - 10
Is 3x - 4 = 12 a literal equation? *
Answer:
x = 16/15
Step-by-step explanation:
3x - 4 = 12
~Add 4 to both sides
3x = 16
~Divide 3 to both sides
x = 16/15
Best of Luck!
what is the cube root of 64 (
[tex] \sqrt[3]{64} = x[/tex]
what is a real number
Answer:
pi, 7, and 8
Step-by-step explanation:
Nearly any number you can think of is a Real Number
Plz help Can you plot the data !
9b) write the equation of your best fitting line.
9c)use your to determine how well you would do if for 4 hours
Answer:
9b y= 15.109t + 56.4
9c 116.836 in 4 hours
Step-by-step explanation:
I used a regression calculator for the first one.
I multiplied 15.109 and 4 because t is the time.
add 56.4
Morse code uses "dots" and "dashes," which are known to occur in the proportion of 3:4. This means that for any given symbol, P(dot sent) = 3/7 and P(dash sent) = 4/7. Unfortunately, when coded messages are sent, there are sometimes errors in transmission. Suppose there is interference on the transmission line, and with probability 1/8 a dot is mistakenly received as a dash, and vice versa. a) What is the probability that the received symbol is a dot?
Answer: [tex]\dfrac{25}{56}[/tex]
Step-by-step explanation:
Given: P(dot sent) = [tex]\dfrac37[/tex]
and P(dash sent) = [tex]\dfrac47[/tex]
P(dot received) = P(dot received ∩ dot sent)
+ P(dot received ∩ dash sent)
= P(dot received | dot sent)P(dot sent) + P(dash received | dash sent)P(dash sent) [By conditional probability formula]
[tex]=\dfrac78\times\dfrac37+\dfrac18\times\dfrac47=\dfrac{25}{56}[/tex]
Hence, the probability that the received symbol is a dot = [tex]\dfrac{25}{56}[/tex]
How many pounds of raisins did Priya buy if she bought the following amounts of almonds:
1.06 pounds of almonds
Round your answer to the nearest hundredth, and do not include uníts (pounds of raisins).
Answer:
2.25
Step-by-step explanation:
5.20 * 1.06 = 5.512
11.70 - 5.512 = 6.188
6.188 / 2.75 = 2.25018
Round to the nearest hundredth which equals....
2.25
The denominator of a fraction is one more than the numerator. If 3 is subtracted to
the numerator and to the denominator, the resulting fraction is equivalent to 1 . What is the 2
original fraction?
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
let the original fraction be
[tex]\frac{n}{n+1}[/tex] ( with denominator 1 more than numerator )
Subtracting 3 from numerator/ denominator gives
[tex]\frac{n-3}{n+1-3}[/tex] = [tex]\frac{n-3}{n-2}[/tex]
Given that the fraction is now equivalent to [tex]\frac{1}{2}[/tex] , then
[tex]\frac{n-3}{n-2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2(n - 3) = n - 2, distribute left side
2n - 6 = n - 2 ( subtract n from both sides )
n - 6 = - 2 ( add 6 to both sides )
n = 4
and n + 1 = 4 + 1 = 5
Thus original fraction is [tex]\frac{4}{5}[/tex]
HELP!!!! PLZ!!!!!!!!!!!!!!!!!
Answer: A
Cause 10 divided by 1 is 10
- (x-9)
Simplify this expression
Answer:
-x + 9
Step-by-step explanation:
When there is a - in front of an expression in parentheses, change the sign of each term in the expression.
Which set of three numbers could be the side lengths of a right triangle?
A. 5, 12, 17
B. 6, 12, 24
C. 12, 16, 25
D. 14, 48, 50
Answer:
if my calculations are correct the answer should be B!!
Step-by-step explanation:
The set of three numbers could be the side lengths of a right triangle is to be considered as the option d. 14,48,50.
What is Pythagoras theorem?It is a theorem that should be attributed to Pythagoras where the square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other two sides.
So based on this we can say that
[tex]50^2 = 48^2 + 14^2\\\\[/tex]
2500 = 2,304 + 196
2,500 = 2,500
Hence, the option d is correct.
Learn more about triangle here: https://brainly.com/question/18986830
Sam knows that his annual homeowners insurance premium is $0.27 per $100 of value, which usually works out to be $683.10 annually. But Sam is confused by a letter from his insurance company telling him that an increase in the value of his home has led to an increase in his annual homeowners insurance premium. He is now being charged an annual premium of $720.90. Based on the increase in his annual homeowners insurance premium, what was the increase in his home's value? (Note: The cost is still $0.27 per $100, even though the annual premium went up.)
Answer:
C. $14,000
Step-by-step explanation:
If he is now being charged an annual premium of $720.90. The increase in his home's value is $14,000.
Increase in home valueIncrease in home value=[(720.90/0.27)-(683.10/0.27)]×$100
Increase in home value=(2670-2530)×$100
Increase in home value=140×$100
Increase in home value=$14,000
Therefore the increase in his home's value is $14,000.
Learn more about increase in home value here:https://brainly.com/question/15895507
Several properties are used to evaluate this expression. Identify the property used in each step.
21 + (36 + 0 + 19)
21 + (36 + 19)
21 + (19 + 36)
(21 +19) + 36:
40 + 36
76
Answer:
step one is the identitey property step 2 is the communative property step 3 is the associative property
Step-by-step explanation:
Please subtract this for me and simplify
Answer:
You have to convert 4 and 1/4 to 17/4. Then, the LCM of 3 and 4 is 12, so multiply 17/4 by 3/3 and 2/3 by 4/4 to get 51/12 and 8/12. Now, subtract.
51/12 - 8/12 = 43/12. That is the final answer.
I NEED HELP NOW
ur really gonna need to solve this
10t-5=60
Answer:
[tex] \huge \: t = \frac{13}{2} [/tex]
Step-by-step explanation:
[tex]10t - 5 = 60[/tex]
Using the addition property add 5 to both sides of the equation
That's
[tex]10t - 5 + 5 = 60 + 5 \\ 10t = 65[/tex]
Divide both sides by 10
[tex] \frac{10t}{10} = \frac{65}{10} \\ t = \frac{65}{10} [/tex]
Reduce the fraction with 5
We have the final answer as
[tex]t = \frac{13}{2} \\ [/tex]
Hope this helps you
Answer:
t = 6.5
Step-by-step explanation:
10t - 5 = 60
Add 5 to each side
10t -5+5 = 60+5
10 t = 65
Divide each side by 10
10t/10 = 65/10
t = 6.5