Brooke purchased 16 boxes of a popular novel to sell at her bookstore. If each box weighs 29.5 pounds, what is the total weight of all of the boxes of books? A. 483.8 pounds B. 456 pounds C. 472 pounds D. 488 pounds
Answer:
C. 472
Step-by-step explanation:
16x29.5=472
If the sum of first 7 terms of an A.P is 49 and the sum of first 17 terms is 289 find the sum of first 30 term
Sum of first 7 terms of an AP = 49.
Sum of first 17 terms = 289
Find:the sum of first 30 term
Solution:We know that,
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
Hence,
→ 7/2 * [ 2a + (7 - 1)d ] = 49
→ 2a + 6d = 49 * 2/7
→ 2( a + 3d ) = 14
→ a + 3d = 14/2
→ a + 3d = 7 -- equation (1)
Similarly,
→ 17/2 * [ 2a + 16d ] = 289
→ 17/2 * 2 * (a + 8d) = 289
→ a + 8d = 289 * 2/17 * 1/2
→ a + 8d = 17 -- equation (2)
Subtract equation (1) from (2).
→ a + 8d - (a + 3d) = 17 - 7
→ a + 8d - a - 3d = 10
→ 5d = 10
→ d = 10/5
→ d = 2
Substitute the value of d in equation (1).
→ a + 3 * 2 = 7
→ a = 7 - 6
→ a = 1
Now,
Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]
→ S(30) = 15 (2 + 58)
→ S(30) = 15 * 60
→ S(30) = 900
Therefore, the sum of first 30 terms of the given AP is 900.
I hope it will help you.
Regards.
answer refer in pic siso
Think about the expression (x-8)(x+4)
a) For what values of x will this expression be
(b) Write this product as an equivalent trinomial. equal to zero? Show how you arrived at your answer.
Show that this trinomial is also equal to zero at the larger value of x from part (a).
This is not a multiple choice question. Please help if you know how to do it.
See attachment for math work and answer.
a) The expression will be zero when x = -4 or 8
b) The trinomial equivalent of the expression is x² - 4x - 32
c) The trinomial equals to zero when x = 8
The given expression is (x - 8)(x + 4)
a) For what value of x will the expression be equal to zero
(x - 8)(x + 4) = 0
This can be split into:
x - 8 = 0
That is, x = 8
x + 4 = 0
That is, x = -4
The expression (x - 8)(x + 4) equals to zero when x = -4 or x = 8
b) Write this product as an equivalent trinomial.
A trinomial is a polynomial expression with three terms
Expand (x - 8)(x + 4)
x² + 4x - 8x - 32
x² - 4x - 32
c) Show that this trinomial is also equal to zero at the larger value of x from part (a)
The larger value of x from part (a) is 8
Substitute x = 8 into x² - 4x - 32
8² - 4(8) - 32
= 64 - 32 - 32
= 0
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A number greater than -5 as an inequality
Answer:
n > -5
Step-by-step explanation:
What is the interest on $450 loan at 7% for 2 year
Answer:
$63
Step-by-step explanation:
here,
principle=$450
rate=7%
time=2yrs
intrest=?
now,
as, we know,
intrest=(p×t×r)÷100%
intrest=($450×7×2%)÷100%
intrest=$6300÷100
therefore, intrest=$63#
Interest on given principal rate of interest and time is $63.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, principal =$450, rate of interest =7% and time period =2 years.
Now, simple interest = (450×7×2)/100
= 6300/100
= $63
Therefore, interest is $63.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
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HELP HAVING BAD DAY
Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?
===========================================
Work Shown:
t = time it takes to go from Jackie's house to her friends house
distance = rate*time
d = 30*t
This represents the distance they travel if they go 30 mph
Then when going back home, they take 6 minutes longer
6 minutes = 6/60 = 0.1 hours
So they take 0.1 hours longer meaning the t updates to t+0.1
d = r*t
d = 25*(t+0.1)
d = 25t+2.5
This represents the trip back home.
Since the distance d doesn't change, we can equate the two right hand sides and solve for t
30t = 25t+2.5
30t-25t = 2.5
5t = 2.5
t = 2.5/5
t = 0.5 hours = 30 minutes
d = 30t = 30*0.5 = 15 miles
Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25
Answer:
[tex]v=\frac{145}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]
[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]
[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]
[tex]v=\frac{145}{8}[/tex]
Look at the angle shown below.
V.
Estimate the measure of the angle.
What is the equation of the line ? and how do i know ?
Answer:
The equation of the line is y=-16x+7
Step-by-step explanation:
I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.
Anyways, you need to find the slope because you already know the y-intercept, 7.
Slope=rise/run between two pretty points( A point that lines up on the grid)
So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.
4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)
Answer:
Step-by-step explanation:
Let R = Richard, T = Teo.
Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:
R + T = 41
We are also told Richard is 5 years older than twice Teo's age:
R = 2T + 5
You can substitute " R " into R + T = 41
R + T = 41
2T + 5 + T = 41
3T + 5 = 41
Subtract 5 from both sides
3T = 41 - 5
3T = 36
Divide both sides by 3 to find T.
T = 36/3 = 12
We know that R + T = 41, so
R = 41 - T
R = 41 - 12
R = 29
Answer:
Richard is 29 and Teo is 12
Step-by-step explanation:
let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )
Thus their combined ages are
n + 2n + 5 = 41 , that is
3n + 5 = 41 ( subtract 5 from both sides )
3n = 36 ( divide both sides by 3 )
n = 12
Then
Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old
the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches
Answer:
Step-by-step explanation:
what is the equation of the line shown?
what is the equation of a parallel line with a y-intercept of -1?
Answer:
y = -⅓x + 1.
y = -⅓ - 1
Step-by-step explanation:
The equation of the line shown can be expressed in slope-intercept form as [tex] y = mx + b [/tex].
b = y-intercept, which is where the line intercepts the y-axis.
The line intercepts the y-axis at 1. Therefore b = 1.
m = slope = rise/run = [tex] {y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - 0} = \frac{-1}{3} = -\frac{1}{3} [/tex].
Substitute b = 1 and m = -⅓ into y = mx + b to get the equation of the line shown. Thus, the equation would be:
y = -⅓x + 1.
The equation of a line with y-intercept (b) of -1 that is parallel to the line shown, would have the same slope as the line shown but different y-intercept.
Thus, the slope of the line shown is m = -⅓, this would also be the slope of the line parallel to it.
Therefore, substitute m = -⅓ and b = -1 into y = mx + b.
y = -⅓x + (-1)
y = -⅓ - 1
The equation of the line with y-intercept big -1 that is parallel to the line shown on the graph, is y = -⅓ - 1
Maybe some help? pls ?!
Answer:
Irrational
Step-by-step explanation:
Answer:
it is d irrational
Step-by-step explanation:
The Rodriguez family drinks 4.5 gallons of milk per week. The Bentley family drinks 1.2 gallons of milk each day. What is the difference, in liters, between the amounts of milk the families will drink in one week?
(1 gallon is approximately 3.8 liters)
A. 14.82 liters
B. 17.1 liters
C. 22.45 liters
D. 31.92
Answer:
A.
Step-by-step explanation:
You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.
Please explain your answer.
Answer:
.
Step-by-step explanation:
You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?
Answer:
Your pay at the end of the these two weeks will be $1,375
Step-by-step explanation:
In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.
In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:
20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550
In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:
30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825
Then your salary at the end of these two weeks is calculated by:
Payment of the first week + Payment of the second week
$550 + $825 = $1,375
Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:
hours= number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars= number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 carsThen your salary at the end of these two weeks is calculated by:
50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375
Note that either way you get the same result.
Your pay at the end of the these two weeks will be $1,375
What is the slope of 4x + 3y = −24?
Answer:
slope is 4/3x
Step-by-step explanation:
plz help me!! Polynomial Long Division (Level 2)
if x=21 then y=49. What is the value of x when y=56?
Answer:
24
Step-by-step explanation:
set them up as a fraction.
21/49=x/56
cross multiply: 21*56=49x
1176=49x
divide both sides by 49
x=24
Answer:
28
Step-by-step explanation:
notice that when x=21 thats 3x7=21
then when y=49 thats 7x7
so when y=56 that's 8x7
notice there is a patter of 7 being used? there are probably a lot of other patterns that would also work.. but. if your class is working on multiplying by 7 , then this is probably the right pattern.
from the above pattern, then,
x=4x7 when y=56
x=28
f(x)=(-3x+2) and g(x)=(2x^2-5x-1)
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
SOME 1 HELP WITH 12 ASAP !! plzz
Answer:
10%
Step-by-step explanation:
40 times 1% equals 4 (inverse operation)
This year, there were 25% fewer sunny days than last year. That’s my question.
If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.
Can someone help me create a slope story???
Answer:
I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.
Step-by-step explanation:
y axs = elavation
x axs = time
Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(
A rectangle has an area of 2,340 sq ft and a width of 45 ft. What is its length ? What is the perimeter
Answer:
length is 52 ft
perimeter is 194
Step-by-step explanation:
2340/45 = 52
2(52+45) = 194
hey if anyone understands do you you think you could help i'm struggling a little bit :(
Answer:
2x=18
x=9
Step-by-step explanation:
So, to start you subtract 12 from 30 to get 18.
then 18 divided by x gives you 9
so X=9
Answer:
2x = 18 and x = 9
Step-by-step explanation:
i've done it before so i know its right
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3
2
1
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1
2 3
4
5
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4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)
Answer:
whats that.............
Find the slope of the line
Answer:
Slope= -5/3
Step-by-step explanation:
Apply a 90 degree rotation to the point (1, 2)
Answer:
(-1,2)
Step-by-step explanation:
90 degree rotation from (a,b) is (-a,b)
the most points you will EVER GETTTTTT i would do more points but brainly doesn't let me
Answer:
Ah Thanks so much
Step-by-step explanation:
I am so bored by the way...
Answer:
daaslkfnsdlfknsdfnsdnfsdf
Step-by-step explanation:
Free brainlist and thanks!!!
Answer:
hi
Step-by-step explanation:
Hi there! Thank you for this!