Answer:
Step-by-step explanation:
1 foot = 12 inches
47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet
24 boards × ((47.5/12) feet)/board = 95 feet
:::::
(8 feet)/board × (12 inches)/foot = (96 inches)/board
96/47.5 = 2 remainder 1
An 8-foot board provides two 47.5" boards, with an inch wasted.
He needs to buy 12 of the 8-foot boards.
Solve for the angle x.
Answer:
x=45
Step-by-step explanation:
An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.
You then divide each side by 2 to get the x by itself which leaves you with x=45.
Answer:
if I did my math right it's 45 if not please fix me
Step-by-step explanation:
First thing is the the sides are congruent meant the angles have to be the same.
Next is the box indicates 90°.
Last thing is that every triangle is 180°
so if I did this right the equation is 2x+90=180
and using algebra in this you eliminate the 90 by subtract because - is the opposite of + which cancels itself and leaving the total with 90.
Then divide the 90 by 2 as it cancels out 2x leaving the answer with x=45
I hope this helps you
Sharron bought some Flibbertigibbets and some
Whatchamajiggers. She bought 16 total items for a total of $42.
Flibbertigibbets cost $2 each, and Whatchamajiggers cost $4 each.
How many Flibbertigibbets did she buy? How many Watchamajiggers did she buy?
Answer:
She bought 11 Flibbertigibbets
and
5 Watchamajiggers
Step-by-step explanation:
A manufacturer produces cherry, peppermint, cinnamon, and orange-flavored gum. Each flavor is available with sugar or sugar-free. The gum
is sold in 2 ounce, 4-ounce, or 8 ounce packages,
How many different types of labels will the manufacturers have to produce?
Answer: The total number of different types of labels will the manufacturers have to produce = 24.
Step-by-step explanation:
Given: Choices for flavours = 4
Choices for sugar = 2 {either sugar or sugar free}
Choices for the qunatity = 3
By Fundamental counting principle,
Total number of different types of labels will have to produce = (Choices for flavors) x (Choices for sugar)x (Choices for the quantity )
= 4 x 2x 3
=24
Hence, the total number of different types of labels will the manufacturers have to produce = 24.
Need help please and thank you
Answer:
Step-by-step explanation:
-2 2
3(2) -3(2)
PLEASE HELP ME!!! Find the area of the shaded region.
solve the iniquality 6x - 8 > 4x + 26
Answer:
x > 17
Step-by-step explanation:
Add 8 to both sides:
6x - 8 > 4x + 26
6x > 4x + 34
Subtract 4x from both sides:
2x > 34
Divide each side by 2:
x > 17
So, the solution is x > 17
⇢ 6x - 8 > 4x + 26
⇢ 6x > 4x + 26 + 8
⇢ 6x > 4x + 34
⇢ 6x - 4x > 34
⇢ 2x > 34
⇢ x > 34/2
⇢ x > 17
Hence, solution is x > 17.
Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce. She can sell each ton of coffee for $2,400. The cost of producing her first ton of coffee is $600, and the second ton costs $1,200. Each additional ton of coffee costs $600 more to produce. How many tons of coffee should Sarah produce, and what is the total cost of her coffee production
Answer:
Sarah should produce four tons of coffee and total cost for four ton is $6,000.
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Selling price per ton = $2,400
Cost of production is increasing by $600 for each ton.
So, Cost of production first ton = $600
Cost of production for second ton = $600 + $600 = $1,200
Similarly, Cost of production for third ton = $1,200 + $600 = 1,800
Cost of production of fourth ton = $1,800 + $600 = $2,400
Here, Sarah can produce coffee till selling price = cost of production.
As, cost of production of four ton = selling price, then Sarah can produce only four tons of coffee.
Total cost for four ton coffee = $600 + $1,200 + $1,800 + $2,400
= $6,000
Sarah can produce 4 tons of coffee and the total cost of the production is $6000 and this can be determined by using the arithmetic operations.
Given :
Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce.She can sell each ton of coffee for $2,400. The cost of producing her first ton of coffee is $600, and the second ton costs $1,200. Each additional ton of coffee costs $600 more to produce.The following steps can be used in order to determine the total amount of coffee (in tons) should Sarah produce and the total cost of her coffee production:
Step 1 - Remember that Sarah can produce coffee unitil selling price is equal to the cost of production.
Step 2 - According to the given data, each additional ton of coffee costs $600 more to produce.
Step 3 - From the above steps, it can be concluded that Sarah can produce 4 tons of coffee because the cost of 4 tons of coffee is equal to the selling price.
[tex]600\times 4 = $2400[/tex]
Step 4 - So, the total cost of producing four tons of coffee is:
Total Cost = 600+ 1200 + 1800 + 2400
Total Cost = $6000
For more information, refer to the link given below:
https://brainly.com/question/1957976
PLEASE HELP
HELP
ILL MARK BRAINLIEST
HELP
HELP
PLEASE HELPP
Answer:
D
Step-by-step explanation:
The others don't work as it would if it was the older men
At the beginning of a study, a certain culture of bacteria has a population of 340. The population grows according to a continuous exponential growth model. After 11 days, there are 544 bacteria.
(a) Lett be the time (in days) since the beginning of the study, and let y be the number of bacteria at time i. x 5 ? Write a formula relating y tot. Use exact expressions to fill in the missing parts of the formula. Do not use approximations.
y = 10:
(b) How many bacteria are there 23 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number.
bacteria
Answer:
y = 340e^0.0427276t ; 908
Step-by-step explanation:
Given that :
t = time in days since study began
Number of bacteria after 11 days = 544
y = number of bacteria at time t
Exponential growth model:
y = ae^rt
Where a = initial amount ; r = Growth rate
y = 544 ; t = 11 ; a = 340
544 = 340*e^11t
544/340 = e^11t
1.6 = e^11t
Take the In of both sides
In(1.6) = 11t
0.4700036 = 11t
t = 0.4700036 / 11
t = 0.0427276
y = 340e^0.0427276t
Number of bacteria after 23 days :
Using the formula above :
t = 23
y = 340e^0.0427276(23)
y = 340 * 2.6717529
y = 908.39600
y = 908
The required formula is [tex]y = 340e^{0.0427}[/tex]
908 bacteria are there 23 days after the beginning of the study .
Given that,
A certain culture of bacteria has a population of 340.
The population grows according to a continuous exponential growth model. After 11 days, there are 544 bacteria.
We have to find,
Write a formula relating y tot. Use exact expressions to fill in the missing parts of the formula.
How many bacteria are there 23 days after the beginning of the study.
According to the question,
Let t be the time (in days) since the beginning of the study,And let y be the number of bacteria at time,
t = time in days since study began
Number of bacteria after 11 days = 544
y = number of bacteria at time t
Then,
Exponential growth model:
[tex]y = a.e^{rt}[/tex]
Where, a = initial amount ; r = Growth rate
y = 544 ; t = 11 ; a = 340
Then,
[tex]544 = 340.e^{11t}\\\\\dfrac{544}{340} = e^{11t}\\\\1.6 = e^{11t}\\\\Taking \ log \ on \ both \ sides,\\\\ln(1.6) = 11t\\\\0.47 = 11t \\\\t = \dfrac{0.47}{11}\\\\t = 0.0427[/tex]
The required formula is [tex]y = 340e^{0.0427}[/tex]
There 23 days after the beginning of the study Number of bacteria after 23 days :
[tex]y = 340e^{0.0427}[/tex]
Where, t = 23
[tex]y = 340e^{0.0427276(23)}\\\\y = 340 \times 2.6717529\\\\y = 908.39600\\\\y = 908[/tex]
Therefore, 908 bacteria are there 23 days after the beginning of the study .
To know more about Probability click the link given below.
https://brainly.com/question/21726505
A grid has lines at 90-degreree angles. There are 12 lines in one direction and 9 lines in the other direction. Lines that are parallel are 11 inches apart. What is the least number of 12in by 12in floor tiles needed to cover all of the line intersections of the grid? The tiles do not have too touch each other.
Answer:
70
Step-by-step explanation:
Given that:
There are twelve (12) lines in a direction and another nine 9 lines in another direction.
If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.
i.e these 11 squares are 11 inches apart.
Hence, the length of their grid = 11 inches × 11 inches = 121 inches²
Thus, for 12 in by 12 in tiles; we will have:
= [tex]\dfrac {121}{12}[/tex]
= [tex]10 \dfrac{1}{12}[/tex]
This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.
Similarly, for 8 squares and 11 inches apart;
The width = 8 inches × 11 inches = 88 inches²
Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]
= [tex]7 \dfrac{1}{3}[/tex]
It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.
Thus, the least number of tiles required = 10 × 7 = 70
For school spirit day, 11.875% of your class wears orange shirts, 5/8 of your class wears blue shirts, 0.15625 of your class wears white shirts, and the rest of your class wears gold shirts. Order the portions of shirts of each color from least to greatest.
Answer:
pee
Step-by-step explanation:
Answer:
the answer is 67.56
Step-by-step explanation:
please help i will give barinliest
need help on these math questions. please and thank u
9514 1404 393
Answer:
a) x = -3
b) y = (28/27)x -27
Step-by-step explanation:
a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...
x = constant
For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...
x = -3
__
b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...
m = -1/(-27/28) = 28/27
Using the point-slope equation for a line, we can model Ace Rd as ...
y -y1 = m(x -x1)
y -1 = (28/27)(x -27)
y = (28/27)x -27
Given: y = 3 x − 4 . For what value of x does y equal zero?
Need help ASAP
Will mark you brainlist
Answer:
11.3 and more
Step-by-step explanation:
Please help me-
Find the angles:
m∠A = 2/3x°
m∠P = 4/5x°
∠A and ∠P are supplementary.
9514 1404 393
Answer:
m∠A = 81 9/11°
m∠P = 98 2/11°
Step-by-step explanation:
Supplementary angles have a total of 180°, so we have ...
m∠A +m∠P = 180°
2/3x° +4/5x° = 180°
22/15x° = 180°
x = 122 8/11 . . . . . . multiply by 15/22
Then the angles are ...
m∠A = (2/3)(122 8/11)°
m∠A = 81 9/11°
m∠P = (4/5)(122 8/11)°
m∠P = 98 2/11°
_____
Alternate solution
The fraction of 180° that is ∠A is ...
(2/3x°)/(2/3x° +4/5x°) = (10/15)/(10/15 +12/15) = 10/22 = 5/11
m∠A = (5/11)(180°) = 81 9/11°
m∠P = 180° -m∠A = 98 2/11°
Answer:
m∡A = 81.8°
m∡P = 98.2°
Step-by-step explanation:
2/3x + 4/5x = 180
multiply each side by 15 to eliminate fractions
10x + 12x = 2700
22x = 2700
x = 122.7
∡A = 2/3 (122.7) = 81.8
∡P = 4/5 (122.7) = 98.2
Any help please need done asap?
Answer:
4
Step-by-step explanation:
12 is over 10 and 8
A survey crew has laid out similar triangles to find the distance across a
small lake.
creen
1-02....
240 ft
30 ft
creen SI
1-02...5.1
40 ft
30 ft
240 ft
creen Sho
-02...55.1
What is x, the distance across the lake?
Answer:
45.5
Step-by-step explanation:
You do the linear length multiplied by the longitudinal length
The distance across the lake is 320 ft.
Given is a scenario of a lake, a survey crew has laid out the concept of similar triangles to find the distance across the lake.
The figure shows the base of the larger triangles is the distance across the lake. [please refer to the figure attached]
The dimensions of the imaginary triangles are 30 ft, 30 ft, 40 ft and 240 ft, 240 ft, x ft.
Here, x is the distance across the lake which we are asked to find.
Using the definition of the similar triangles,
Two triangles are considered similar if their corresponding angles are equal, and the ratios of the lengths of their corresponding sides are equal.
So,
[tex]\frac{240}{30} = \frac{x}{40}[/tex]
[tex]x = \frac{240 \times 40}{30}[/tex]
x = 320
Hence the distance across the lake is 320 ft.
Learn more about similar triangles click;
https://brainly.com/question/29191745
#SPJ4
find the equations of the perpendicular line y=2x+1 and passes through (0,-2)
9514 1404 393
Answer:
y = -1/2x -2
Step-by-step explanation:
The given line has slope 2, so the perpendicular line will have slope -1/2, the negative reciprocal of the given slope.
The y-intercept is given as -2, so the line's equation in slope-intercept form is ...
y = mx +b . . . . line with slope m and y-intercept b
y = -1/2x -2
Summarize the process of solving a two-step equation.
Answer:
Solving Two-Step Equations
1) First, add or subtract both sides of the linear equation by the same number.
2) Secondly, multiply or divide both sides of the linear equation by the same number.
3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable
Your class is in groups, working on an induction worksheet. One of the questions asks to prove that if n is even, then 8n is also even. Your group proves it, but you're then asked if the converse is also true. Your classmate suggests that it is. What would you say to explain how this suggestion is flawed, and how would you help correct them
Answer:
The answer is "this statement is not true".
Step-by-step explanation:
It is true because it can be achieved by using the initiation method. (Or at even a look, as n is still n=2m for the whole m, and the same number is 8n=8* (2*m)=2*(8*m). So it's confirmed !! )
Now the opposite declaration says, "If 8n would be an even amount then n is an even number", that's why the statement is not true.
An easy way of demonstrating why an argument also isn't valid is to show an example it against. Take into consideration the 24. 24=8*3. i.e. the shape is 8n, where it is n=3. Of course, 24 is also an equivalent number, but n=3 is an odd number here. So, we at least this one event, wherein the opposite statement could be sustained. (q.e.d).
Note:- "8n would be an even number per each integer n." is true since 8n=2*(4n), even for all integer n.
9. Which of the following relations is a function?
A. {(-1, - 4), (-1,0), (- 1,5), (- 1, 7), (- 1,9)}
B. {(-2, - 4), (-1, 7), (1, - 1), (1, 1), (3, 9)}
C. {(-4, 9), (- 3, 1), (- 2, 3), (- 2, 12), (0, 6)
D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}
The relation which is a function is given by the set relation
A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { 0 , 1 , 2 , 3 , 4 }
Now , the values of y = { 4 , -4 , 4 , 4 , -4 }
And , relation is a function if and only if there exists one value in the range for every domain value.
So , the domain are all having significant and definite ranges
Therefore , the relation is A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
Hence , the function is denoted by A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ2
Two friends share 1/3 of a pitcher of
lemonade equally. What fraction of the
pitcher does each person get?
Answer:
⅙ pitcher
Step-by-step explanation:
½ of ⅓ pitcher = ½ × ⅓ pitcher = ⅙ pitcher
HELP QUICK
A rectangle has a width of 4 meters and a length of 6 meters. A similar rectangle has a width of 12 meters. Find the area of the similar rectangle after finding its length.
Answer:
216 m
Step-by-step explanation:
12/4= x/6
3=x/6
x=3x6
length= 18
area=length x width
12x18=216
please help me
thank
Answer:B,C and E
Step-by-step explanation:
1. There were 28 students in Mr. Durant’s class. Sixteen were boys. What fraction of the students were girls?
2. Leonard made 6 birdhouses in shop class. He used one piece of wood that was 6 feet long and one piece of wood that was 7 feet long. How much wood did he use for each birdhouse?
9514 1404 393
Answer:
3/72 ft 2 inchesStep-by-step explanation:
1. 12 of the 28 students were girls, so the fraction is ...
12/28 = 3/7 . . . fraction that were girls
__
2. The total of 13 feet of wood, when divided into 6 equal parts, gives 13/6 = 2 1/6 feet per part. 1/6 ft = 2 inches.
Leonard used 2 feet 2 inches of wood for each birdhouse.
What is the value of {8 +3 (14 – 6) – 18) ?
Answer:
Step-by-step explanation:
Help asap plsplspls !!
Answer:1/4
Step-by-step explanation:
2/8 = 1/4
2/8 over 2 is 1/4
Simplify 42/56 please help
Answer:
3/4
Step-by-step explanation:
The GCF of 42 and 56 is 14. If you divide both the numerator and the denominator by 14 we get 3/4 = 0.75 or 75%
Answer: 3/4
Step-by-step explanation:
42 divided by 14 is 3
54 divided by 14 is 4
The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?
Answer:
Smaller
Step-by-step explanation:
Example: say the original size is 100
increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120
reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is 96.
100>96