13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7
solve for x:
4x-14=-2x+24
Answer: 6 1/3
Step-by-step explanation:
4x-14 = -2x+24
4x = -2x+24 + 14 [Add 14 to both sides]
4x + 2x = 24 + 14 [Add 2x to both sides]
6x = 38 {Combine like terms]
x = (19/3) or 6 1/3
Jason gets 15 gallons of gas at $3.90 a gallon. 15 gallons gives him 20 miles to the gallon. How many miles can Jason travel on 1 tank of gas?
Find the slope of the line represented by the data below x| 0 2 4 6 8
y|15 9 3 -3 -9
Slope=[?]
Answer:
it's answer is 10/-15.........
divide 75 liters in the ratio 12 8 5
Answer:
According to the question,
[tex]12x + 8x + 5x = 75[/tex]
_____________________
[tex]12x + 8x + 5x = 75[/tex]
[tex]25x = 75[/tex]
[tex]x = \frac{75}{25} [/tex]
[tex]x = 3[/tex]
Now,
[tex]12x = 36[/tex]
[tex]8x = 24[/tex]
[tex]3x = 15[/tex]
So,
75 in the ratio of 12 : 8 : 5 is
36, 24 and 15
Answer:
36 : 24 : 15
Step-by-step explanation:
sum the parts of the ratio, 12 + 8 + 5 = 25 parts
Divide the quantity by 25 to find the value of one part of the ratio
75 l ÷ 25 = 3 l , then
12 parts = 12 × 3 = 36 l
8 parts = 8 × 3 = 24 l
5 parts = 5 × 3 = 15 l
solve for c 11=-1-c/2 and have a bless day
Factor completely:
–abc –5ac –4ab –20a
Answer:
[tex]-a(b+5)(c+4)[/tex]
Step-by-step explanation:
[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]
The factor of the given expression is -a(b+5)(c+4)
What is factorization?Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object
Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,
-abc -5ac-4ab-20
- a(bc +5c+4b+20)
- ac(b+5)+4(b+5)
- a(b+5) (c+4)
Hence, the factor of the given expression is -a(b+5)(c+4)
Learn more about factorization, click;
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solve pls brainliest
Answer:
5/2
Step-by-step explanation:
please mark me brainiest
1/10 = 10%
a percent is
[tex] \frac{part}{whole} = \frac{x}{100} [/tex]
If u take 1/10, 10 is one tenth of 100 (10*10=100).
8.3g of sugar is needed for every cake made. How much sugar is needed for 5 cakes?
Answer:
41.5g of sugar
Step-by-step explanation:
8.3 x 5
What is the slope of this line?
−15
15
5
−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
B. [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
This is not urgent, so thank you even if you don’t help.
Answer:
(1/2) and 9/10
Step-by-step explanation:
[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]
distributive property
Answer:
that's have no answer so sorry
You and your friend are selling magazine subscriptions for a fundraiser after W weeks if you have sold (4w+1) subscriptions and your friend has sold (8w+6) subscriptions
Answer:
(4w+1)-(8w+6)
Step-by-step explanation:
Hope this helps :)
There are 50 sheets of scrapbook paper in a pack, and 20% of them are striped. How many sheets of scrapbook paper are striped? Pick the model that represents the problem. How many sheets of scrapbook paper are striped?
Answer:
10 sheets of paper are striped
Step-by-step explanation: Make a proportional relationship.
20% as a fraction is 20/100
Make 50 into a fraction using a variable. For example, x/50
Cross multiply 20 and 50. That equals 1000.
Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.
Hope this helps!
Which statement describes the system of equations? The system has infinitely many solutions. The system has no solution. The system has one solution The system has one solution
I need help with these questions
Answer:
segment addition postulate
the second answer is true
Step-by-step explanation:
my teacher taught me this recently
Given the graph below, which of the following could be the quadratic equation?
A.
[tex]3(x + 2 {)}^{2} + 5[/tex]
B.
[tex] - {x}^{2} + 8x + 18[/tex]
C.
[tex] - 2(x - 3 {)}^{2} + 1[/tex]
D.
[tex] {x}^{2} - 8x + 18[/tex]
Needs to be answered quickly
Answer:
only D as the correct answer
Step-by-step explanation:
The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.
A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.
This leaves only D as the correct answer.
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Brad and Laura are playing a board game. In the game, a player rolls two standard number cubes to move his or her game piece along
a path on the board. On the first three turns in the game, both number cubes land on six each turn.
The theoretical probability of rolling a six on both number cubes three times in a row is 1/?
(are/ are not)
Based on the probability of rolling a six on both number cubes three times in a row, Brad and Laura
likely using unfair number cubes.
Answer:
1/46,656 and Brad and Laura ARE like using unfair number cubes.
Step-by-step explanation:
To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.
Answer: x = 200 km
Step-by-step explanation:
Distance(x) = Speed(s) x Time(t)
t is in hours
x=s*t
At 75km/h: 75*t = x
At 80km/h: 80*(t-(10/60)) = x [the -(10/60) is the 10 minutes saved, in hours]
We know the distance, x, is the same, so we can set these equal to each other:
75*t = 80*(t- (10/60))
75*t = 80*t - 13.3333
-5*t = -13.3333
t = 2 2/3 hours
Both situations should give the same distance with 2 2/3 and 2 2/3 - :
x = (75 km/hr) x ( 2 2/3 hr)= 200 km
x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km
Plug in missing values to make it a function…. Please help
Answer:
p = 5
Step-by-step explanation:
Judging from (0,0) and (10,-20) as given in the chart, the function is y = -2x.
Substituting that for the second row, you would get the equation -10 = -2x.
Simplifying, you get x = 5, so the value of p is 5.
Answer:
5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = (-20-0)/(10-0)
= -20/10
= -2
We know the slope and have two points, (0,0) and (p,-10)
-2 = ( -10-0)/(p-0)
-2 = -10/p
Multiply each side by p
-2p = -10
Divide each side by -2
p = -10/-2
p = 5
The sides of a triangle are in the ratio 4:4:3.What kind of triangle is it
Answer:
Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles
Step-by-step explanation:
5y+40z what is the factor
Answer:
the factored form is 5(y + 8z)
Step-by-step explanation:
Because 5 divides evenly into both 5y and 40z, the GCF is 5 and the factored form is 5(y + 8z)
dose anyone know how to solv ethis??
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The Instantaneous velocity of particle at 2 minutes is ~
[tex]1 \: \: m/s[/tex]Refer to the attachment for solution ~
Find the perimeter. Simplify your answer.
Answer:
3a+ 16
Hope this helps!
solve the proportion (someone pls help)
solve the equation −4(m+6)=−8
.,........................
a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??
Step-by-step explanation:
remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.
so, the given domain tells us the interval to look at.
what are the functional values of the function between 0 and 50 ?
since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.
f(0) = 4×0 + 5 = 5
f(50) = 4×50 + 5 = 205
so, the range is 5 <= y <= 205
The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?
Answer:
Area = 2x³ + 5x² - 1
Step-by-step explanation:
Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):
The formula for solving the area of a rectangle is given by:
Area of a rectangle = Length × Width
In order to solve for the area of a rectangle, simply multiply the given length by the width.
length (L) = (2x + 1)
width (W) = (x² + 2x - 1)
A = L × W
A = (2x + 1)(x² + 2x - 1)
Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):
A = 2x³ + 4x² - 2x + x² + 2x - 1
Combine like terms:
A = 2x³ + 5x² - 1
Therefore, the area of a rectangle is: 2x³ + 5x² - 1.
8. The sum of two numbers is 52. Find the larger number if their ratio is 1: 3.
Answer:
39
Step-by-step explanation:
Lets solve for x:
We know the ratio is 1:3
1x+3x = 52
4x = 52
x = 13
Since the ratio is 1:3:
13(3) = 39
13:39
Which makes 39 the larger number
What is the least common multiple (lcm)of 2,3, and 6
Explanation:
List list the multiples of each value
multiples of 2 = {2, 4, 6, 8, 10, ...}multiples of 3 = {3, 6, 9, 12, 15, ...}multiples of 6 = {6, 12, 18, 24, ...}In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6
Side note: The LCM is useful to help add and subtract fractions.