Total height of lumber, H = 10 1/2 feet = 21/2 feet .
Height of side panel, h = 5 2/3 feet = 17/3 feet .
Now,
Extra lumber required, L = 2 × Height of side panel - Total height of lumber
[tex]L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet[/tex]
Therefore, extra lumber required is [tex]\dfrac{5}{6}[/tex] feet.
Hence, this is the required solution.
is the point (20,13) on this line?
Answer:
yes
Step-by-step explanation:
the graph needs to be shown for us to answer it.
Step-by-step explanation:
1+8k=-6+8k how many solutions? marking brainlyest
Answer:
there is no solutions
Step-by-step explanation:
Answer:
The equation has no solution
Step-by-step explanation:
1 does not equal -6
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
=================================
Work Shown:
Solve the second equation for f(b)
2f(b) = 28
f(b) = 28/2
f(b) = 14
----------
Plug in x = b and solve for b
f(x) = 3x-1
f(b) = 3b-1 ... replace every x with b
14 = 3b-1 ..... plug in f(b) = 14
3b-1 = 14
3b = 14+1
3b = 15
b = 15/3
b = 5
-----------
f(x) = 3x-1
f(2b) = 3(2b)-1 .... replace every x with 2b
f(2b) = 3(2*5)-1 .... plug in b = 5
f(2b) = 3*10-1
f(2b) = 30-1
f(2b) = 29
After 8 months, you have been able to save $937. You have the ability to save $130 per month. Build a model and write an explanation of the y- intercept. What is the rate of change?
Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
[tex]y=130x+b[/tex] ...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
[tex]937=130(8)+b[/tex]
[tex]937=1040+b[/tex]
[tex]937-1040=b[/tex]
[tex]-103=b[/tex]
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
[tex]y=130x+(-103)[/tex]
[tex]y=130x-103[/tex]
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.
if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
I hope this helped, please mark Brainliest, thank you!
what is the experimental probability that a coin toss will result in two heads showing
what is the experimental probability that a coin toss will result in two tail showing
what is the experimental probability that a coin toss will result in one head and one tail showing
Answer:
50% if its one head and one tail. If it's two heads then it may be 25%
Step-by-step explanation:
In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park
the Lake and the Post Office
the Apartments and Fast Food 1
Fast Food 2 and the Grocery Store
the Apartments and the Post Office
the Big Box Store and the Grocery Store
Answer:
Option (3)
Step-by-step explanation:
Option (1)
Fast food 2 and the Park → Consecutive exterior angles
Option (2)
The lake and the Post office→ Consecutive exterior angles
Option (3)
The Apartments and Fast food 1 → Consecutive interior angles
Option (4)
Fast food 2 and the Grocery store → Linear pair of angles
Option (5)
The Apartments and the Post office → Linear pair of angles
Option (6)
The Big Box Store and the Grocery Store → Consecutive interior angles
Therefore, Option (3) and Option (6) will be the correct options.
Choose the correct answer to 992/16.
Answer:
62
Step-by-step explanation:
How many times can 16 go into 992.
16*10 = 160
16*50 = 800
Now you have 960
16*2 = 32
Now you have 996
Hope this helps ya!!
abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag
Answer:
$1.6
Step-by-step explanation:
do 10-2 then you do 8 dived by 5
Answer:
The cost of each bag is $1.6 according to my calculations.
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
-12
Step-by-step explanation:
Each dash is +-4
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
10
Steve has 54 stamps in his collection of 13€,
294, and 45¢ stamps, totaling a value of $15.98.
If the number of 13¢ stamps is doubled, the
new total value of his stamp collection would
be $17.80. Find the number of each type of
stamp in his collection.
A) 14- 13€, 24 - 294, 16 - 45€
they felt like it
B) 16- 134, 25 - 294, 13- 45°
she lost a bet
C) 15 - 13€, 24-29€, 15 - 45°
she was bored
D) 15 - 13€, 25 - 294, 14- 454
she thought it was cool
E) 14- 13¢, 25 - 29%, 15 - 45°
it would be fun
Gina Wison II Ting Alpebra LC), 2016
This question was not written properly
Complete Question
Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.
Answer:
a) The number of 13 cent = 14
b) The number of 29 cent = 24
c) The number of 45 cent = 16
Step-by-step explanation:
We are told he has 54 stamps in total.
These stamps are;13 cent, 29 cent, and 45 cent stamps.
Let's
Number of 13 cent = a
Number of 29 cent = b
Number of 45 cent = c
Hence,
a + b + c = 54........... Equation 1
The total value of the 3 stamps are $15.98.
1 cent = $0.01
We have
0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2
We know from the question that:
13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.
Therefore
2(0.13a) + 0.29b + 0.45c = 17.8
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
Combining Equation 2 and 3 together
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
We eliminate b and c by Subtracting Equation 3 from 3
0.13a = 1.82
a = 1.82/0.13
a = 14
a + b + c = 54........... Equation 1
Since a = 14
14 + b + c = 54
b + c = 54 - 14
b + c = 40
c = 40 - b
Substitute 40 - b for c and 14 for a is Equation 2
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98
= 1.82 + 0.29b + 18 - 0.45b = 15.98
Collect like terms
1.82 + 18 - 15.98 = 0.45b - 0.29b
3.84 = 0.16b
b = 3.84/0.16
b = 24
Hence: Solving for c
a + b + c = 54........... Equation 1
14 + 24 + c = 54
38 + c = 54
c = 54 - 38
c = 16
Therefore,
The number of 13 cent = 14
The number of 29 cent = 24
The number of 45 cent = 16
Sasha sells T-shirts. Each day she earns a set amount, plus a commission.
Assume Sasha sells 24 T-Shirts in one day. How much would she earn that day?
Answer:
137$
Step-by-step explanation:
Let the slope of the equation be
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
where y = Total pay
x = T-shirts sold
Take any two values of x and corresponding y value
[tex]m=\dfrac{71-68}{2-1}\\\Rightarrow m=3[/tex]
The equation will be
[tex]y=mx+b[/tex]
Finding b
[tex]68=3\times 1+b\\\Rightarrow b=68-3\\\Rightarrow b=65[/tex]
The equation is
[tex]y=3x+65[/tex]
Now sasha sells 24 shirts [tex]x=24[/tex]
[tex]y=3\times 24+65\\\Rightarrow y=137[/tex]
Sasha would earn 137$ on that day.
Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full pages she will have. How many full pages will she have?
Answer:
123 full pages
Step-by-step explanation:
Given
[tex]Total\ Stamps = 617\ stamps[/tex]
[tex]Each\ Page = 5\ stamps[/tex]
Required
Determine the number of full page
To do this, we simply divide the total stamps by stamps in each page;
[tex]Pages = \frac{Total\ Stamps}{Each\ Page}[/tex]
[tex]Pages = \frac{617}{5}[/tex]
[tex]Pages = 123.4[/tex]
Then we record only the quotient
The quotient is the digits before the decimal
[tex]Pages = 123[/tex]
Hence, she has 123 full pages
can somebody solve this
Answer:
36
Step-by-step explanation:
Does the table show a proportional relationship? If so, what is the value of y when x is 11
Answer:
Yes, the table shows a proportional relationship
The value of y when x is 11 is 1331
Step-by-step explanation:
Let us check the relation between x and y in the table
∵ x = 4 and y = 64
∵ 64 = 4³
∴ y = x³
∵ x = 5 and y = 125
∵ 125 = 5³
∴ y = x³
∵ x = 6 and y = 216
∵ 216 = 6³
∴ y = x³
∵ x = 10 and y = 1000
∵ 1000 = 10³
∴ y = x³
∵ All the values on the table give the same relation
∴ x and y are proportion
∴ The table shows a proportional relationship
∵ y = x³
∵ x = 11
∴ y = (11)³
∴ y = 1331
∴ The value of y when x is 11 is 1331
Probably really easy and I’m just overthinking it but please help me
42 divied by 3kg the after you get that answer then multiply that by 4kg
Step-by-step explanation:
3 kg of rump steak = £ 42
So, 1 kg of rump steak = £ 42/3 = £ 14
So, 4 kg of rump steak = £ 14 × 4 = £ 56
a) Write 7.1 x 10² as an ordinary number.
Answer:
710 is the answer.
Step-by-step explanation:
7.1 x 10^2
10^2= 10 x 10 = 100
so,
7.1 x 100 = 710
Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.
Answer:
The answer would be 3(x + 6).
3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number
What is Expression?An expression is combination of variables, numbers and operators.
Given,
We need to find the expression of word phrase "the product of 3 and 6 more than a number"
Product means multiplication of two or more numbers.
more than a number means a number is added to it.
Here in the given phrase, x is the added number.
6 more than a number means 6+x
the product of 3 and 6 more than a number
3(x+6)
Hence 3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number
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P>.9 and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Complete Question
The alternative hypothesis is [tex]H_a : p > 0.9[/tex] and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Answer:
This a right tailed test
The p-value is p-value = 0.14917
Step-by-step explanation:
From the question we are told that
The alternative hypothesis is [tex]H_a : p > 0.9[/tex]
The test statistics is [tex]z = 1.04[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally this a right tailed test because from the alternative hypothesis p > 0.9 i.e due to the greater than sign signifying that test will be focusing on the right tail of the normal curve
From the z table the area under the normal curve to the right corresponding to 1.04 is
P( Z> 1.04 ) = 0.14917
Generally the p-value is mathematically represented as
p-value = P( Z> 1.04 ) = 0.14917
What is the relationship between angle b and angle d?
A) corresponding
B) vertical
C) supplementary
D) alternate interior
Answer:
corresponding I believe
Step-by-step explanation:
if I'm wrong someone tell me and I'll go in the corner
Answer:
D) Alternate interior
Step-by-step explanation:
Its a bit hard to explain for me, since I did this stuff in 5th grade and now I'm in 10th.
P.S: Please mark my answer as brainliest, I need it to rank up.
Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS
Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
[tex]Area=(side)^2[/tex]
[tex]Area=x^2[/tex]
For x=10, we have
[tex]Area=(10)^2[/tex]
[tex]Area=100[/tex]
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
[tex]A_1=1^2=1[/tex]
[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]
For x=2,
[tex]A_2=1^2=4[/tex]
[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]
Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].
Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
Which graph shows y = 2x – 12?
Answer:
(0,6) (0,-12)
Step-by-step explanation:
The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12.
The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12. This means that the graph will have a positive slope, indicating a upward trend, and it will intersect the y-axis at the point (0, -12).
To sketch the graph, you can start by plotting the y-intercept at (0, -12). From there, use the slope of 2 to determine additional points by moving 1 unit horizontally (to the right) and 2 units vertically (upward) to plot another point. Repeat this process to plot more points, then connect them to form a straight line.
Keep in mind that a visual representation is essential for accurately identifying the specific graph of y = 2x - 12.
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Expand
(2x + 2)(x + 4
Answer:
2x^2+10x+8
Step-by-step explanation:
(2x+2)(x+4)
=(2x+2)(x+4)
=(2x)(x)+(2x)(4)+(2)(x)+(2)(4)
=2x^2+8x+2x+8
=2x^2+10x+8
Answer:
Work shown below!
Step-by-step explanation:
[tex](2x+2)(x+4)=2x^{2} +8x+2x+8=2x^{2} +10x+8[/tex]
The price of an item has been reduced by 15% the original price was $73
Answer:
$62.05 is the new price
the reduced price is $10.95
Step-by-step explanation:
73*.85=62.05
What is the volume of a box that measures 12cm by 7cm by 19cm
Answer:
1,596 cm cubed
Step-by-step explanation:
Volume of box = 12*7*19= 1,596 cm cubed
Answer:
1596
Step-by-step explanation:
To find the volume of a box, you multiply the length, width, and height of the box.
So, 12 times 7 is 84 times 19 is 1596.
For any linear function f(x) = mx + b, when does 5f(x) = f(5x)?
a) always
b) when b = 0
c) when b = 5/4
d) when b = 5
Answer:
B
Step-by-step explanation:
The product of 2 and y is at least 10. solving inequalities
Answer:
2y>10
y>5 is your answer
Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
if (3x_25)⁰ and( x+15⁰) are complemantary angles find the angles. pls answer fast my friend I will mark brainly
Answer:
50 degrees, 40 degrees
Step-by-step explanation:
3x-25+x+15=90 Complementary angles add up to 90 degrees
4x-10=90
4x=100
x=25
75-25=50 and 25 plus 15=40 50+40=90
x=25°
Further explanationThere are two angles that can form:
• Supplementary Angles: if both angles are added = 180 °
• Complementary Angles: if both angles are added = 90 °
(3x-25)+((x+15)=90
4x-10=90
4x=100
x=25°