Let me see.
Row 1 = 10 bricks
Row 2 = 10 bricks
On top of each row there are 6 bricks.
Two rows times 6 bricks per row is 12 bricks.
Total = 20 + 12 or 32 bricks.
sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
*
ate: Find 8% of 40.
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Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?
Bus A runs every 6 mins
Bus B runs every 8 mins
What bus can she catch and what time?
Answer:
every 8 mins
Step-by-step explanation:
bus b
how many times 92 go in too 100
Answer:
5
Step-by-step explanation:
Answer:
1 time
Step-by-step explanation:
We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.
Step-by-step explanation:
Let the amount of apples bought be x
Amount of strawberries bought be y and;
amount of oranges bought be z
If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;
2x+3y+4z = 15.30 ........... 1
If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:
4x+y+2z = 10.90 ......... 2
If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:
5x+2y+x = 13.70 .......... 3
Solving the three equations simultaneously:
2x+3y+4z = 15.30 ........... 1
4x+y+2z = 10.90 ......... 2
5x+2y+z = 13.70 .......... 3
Reduce the number of equations
multiply equation 1 by 2 and subtract from equation 2
equation 1 * 2 will give:
4x+6y+8z = 30.6 ........... 4
eqn (4)-eqn(2)
6y-y + 8z-2z = 30.6-10.90
5y+6z = 19.7 ......... 5
Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.
eqn(2)* 5 will give:
20x+5y+10z = 54.5 .......... *
eqn(3) * 4 will give
20x+8y+4z = 54.8.......**
Subtsrct ** from *
8y-3y+(4z-10z)= 54.8-54.5
5y-6z = 0.3 .................. 6
Equate 5 and 6 and solve:
5y+6z = 19.7 ......... 5
5y-6z = 0.3 .................. 6
subtract:
6z+6z = 19.7+0.3
12z = 20
z = 20/12
z = 1.67
Substitute z = 1.67 into eqn 6
5y-6(1.67) = 0.3
5y - 10 = 0.3
5y = 10.3
y = 10.3/5
y = 2.06
Substitute z = 1.67 and y = 2.06 into equation 1
From 1:
2x+3y+4z = 15.30
2x+3(2.06)+4(1.67) = 15.30
2x+6.18+6.68 = 15.30
2x+12.86 = 15.30
2x = 15.30-12.86
2x = 2.44
x = 2.44/2
x = 1.22
Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67
Which point is an example of a y intercept?
A. (-2, 8) B. (3, 4)
C. (0, -4)
D. (5,0)
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
What equation is graphed in this figure?
y-4= = -⅓(x+2)
y-3= ⅓(x + 1)
y+ 2 = -3(x - 1)
y - 5 = 3 (x - 1)
Answer:
y - 5 = 3(x - 1)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (0, 2) and (1, 5) is,
m = [tex]\frac{5-2}{1-0}[/tex] = 3
Now equation of the line passing through a point (1, 5) and slope = 3 will be,
y - 5 = 3(x - 1)
Option (4) is the answer.
Answer:
y−5=3(x−1)
Step-by-step explanation:
The radius of the red circle is 7 units and the distance between the two circles is 3 units.
What is the diameter of the red circle?
A 8 units
B 12 units
C 14 units
D 20 units
Answer:
14
Step-by-step explanation:
The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14. Most of the information presented is unrelated.
How much time will Alex need to walk to his school, which is 2 1/ 4 miles away from his house, if he would walk with the speed of …
3 mph
Please help!!!!
Answer:
Alex needs to walk for 45 minutes.
Step-by-step explanation:
2.25 / 3 = 0.75 hours
0.75 hours = 45 minutes
The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?
Answer:
10 is the answer. 1:50 is 10:500 simplified
Step-by-step explanation:
500÷50=10.
Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?
Given:
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
There are 48 blue raspberry and cherry flavored ice sticks altogether.
To find:
The total number of ice sticks.
Solution:
Let x be the total number of ice sticks.
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Blue raspberry [tex]=\dfrac{2}{5}x[/tex]
Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]
[tex]=\dfrac{3}{5}x[/tex]
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]
[tex]=\dfrac{1}{5}x[/tex]
Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]
[tex]=\dfrac{2}{5}x[/tex]
There are 48 blue raspberry and cherry flavored ice sticks altogether.
[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]
[tex]\dfrac{4}{5}x=48[/tex]
[tex]x=48\times \dfrac{5}{4}[/tex]
[tex]x=60[/tex]
Therefore, the total number of ice sticks is 60.
-2/5x=-5 What is this?
Answer:
25/2 or 12 1/2 or 12.5
Step-by-step explanation:
At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answer:
48s plus 12p - 18
Step-by-step explanation:
Answer:
Add 48 + 12 and Subtract the sum from 18 (14+12-18)
Step-by-step explanation:
Sorry if I'm confusing you ;(
HELP URGENT!!!!!!!!!!!!!!!!!!!
NEEDED IN 10 MINUTES
Answer:
1. 124 degrees 2.141 degrees
3. b then a 4.b then b
Step-by-step explanation:
URGENT! 10 points
Solve for x then find DE
Answer:
14
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
x+7+7=4x+2 simplify
Use the distributive property
to expand -4(-2/5+3x)
Which is an equivalent expression?
Answer:
8/5-12x
Step-by-step explanation:
-4(-2/5+3x)
Multiply each term inside the parentheses by -4
-4 * -2/5 + -4 * 3x
8/5-12x
Answer:
-1.6+12x
Step-by-step explanation:
First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x
Help please I’lol really appreciate it
Answer:
j+z+12
Step-by-step explanation:
The product of a number and is 3 Find the number.
Your answer
what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?
Answer:
what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver
Answer:
Step-by-step explanation:
On the 2nd equation, turn the slope the -3x. This creates two parralel lines.
Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.
a mercury thermometer records a temperature of 8 degrees fahrenheit at 10 a.m. if the temperature drops by 3 degrees fahrenheit every hour what will be the temperature by 2 p.m. of the same day
Answer:
-4 Degrees Fahrenheit
Step-by-step explanation:
Given
[tex]Initial\ Temperature = 8[/tex] ---- at 10am
[tex]Difference = -3[/tex]
Required
Determine the final temperature at 2pm
First, we need to determine the hour from 10am to 2pm (Both inclusive)
[tex]Interval = 2pm - 10am + 1hr[/tex]
[tex]Interval = 4hr + 1hr[/tex]
[tex]Interval = 5hr[/tex]
To solve further, we make use of the following Arithmetic Progression formula:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 8[/tex] --- Initial
[tex]d = -3[/tex] --- difference
[tex]n = 5[/tex] -- 5th term
[tex]T_n[/tex] --- Final temperature at 2pm
So: we have:
[tex]T_n = 8 + (5 - 1) * -3[/tex]
[tex]T_n = 8 + (4) * -3[/tex]
[tex]T_n = 8 + 4 * -3[/tex]
[tex]T_n = 8 -12[/tex]
[tex]T_n = -4[/tex]
Hence:
The temperature is -4 Degrees Fahrenheit
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Chloe's birthday.
Answer:
C=-3t+30
Step-by-step explanation:
Five times the sum of a number n and seven
Hint- you need parenthesis
The equation of the problem is [tex]5(n+7)[/tex]
The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.
What is an equation for the line that passes through (6,-5) and (-8,16)
Answer:
y=mx
Step-by-step explanation:
i think thats the equation am pretty sure tho
HELPP ME PLEASEEE
ill give brainiest to whoever answers first
Answer:
the answer is d
Step-by-step explanation:
it would be 9.7 x 10^3
The product of a number x minus 5 and three less than twice x
Answer:
(x-5)(2x-3)
Step-by-step explanation:
key words:
product = multiplication
minus - subraction
x-5
and = first phrase times next phrase
less than = a number minus the number before the 'less than'
twice = 2 times a number
if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).
i hope this helped :))
The ratio of basketballs to volleyball in the gym is 3 to 5. If there are 60 volleyball in the gym, how many basketballs are there?
Six students are working to simplify the expression shown 4y+13x-5+6y-x
Answer:12x+10y-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 70ft . and the width is 16ft .
Answer:
Step-by-step explanation:
Givens
P = 2*L + 2*W
P = 70
w = 16
Solution
70 = 2L + 2*16
70 = 2L + 32
70-32 = 2L
38 = 2L
38/2 = 2L/2
L = 19
What is the QUOTIENT of 16.8 and 4.4 ?
Answer:
3.81
Step-by-step explanation: