Answer:
2461.848 bushels
Step-by-step explanation:
67 tonnes x 36.744 bushels/ 1 tonnes
= 2461.848 bushels
4. Five hamburgers and two French fries together contain 2160 calories, while four hamburgers and five French fries contain 2680 calories. What’s the calorie count in one hamburger and one pack of French fries?
Answer:
Hamburger is 320 calories. Pack of french fries is 280 calories
Step-by-step explanation:
Represent Hamburgers as H and pack of French Fries as P then set up the equations
5H+2P=2160
4H+5P=2680
Multiply the first equation by 5
25H+10P=10,800
Multiply the second by 2
8H+10P=5360
Subtract the first equation by the second
25H+10P=10,800
-
8H+10P=5360
=
17H=5440
H=320
One hamburger is 320 calories.
Plug in 320 for H
5(320)+2P=2160
1600+2P=2160
2F=560
F=280
One pack of french fry is 280 calories
plsss help ill give brainiest
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
Area of RectangleThe area of a rectangle is given as the product between the length and it's width.
Data;
Length = 9inArea = 45in^2width = ?length 2 = 4inwidth 2 = 3in[tex]area = length * width[/tex]
In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as
[tex]A = length * width\\width = \frac{area}{length} \\width = \frac{45}{9} \\width = 5in[/tex]
We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by
[tex]a = 3 * 4 = 12in^2[/tex]
From the above calculations, we can see that the sheets are not similar as they have different areas.
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The solution for x of log, 22 = 3 is between what two integers?
Answer:
27565541.
Step-by-step explanation:
Daniels garage is 8ft long by 10 ft wide. His living room is twice as long and twice as wide as his garage. Daniels house is 3 times as long and 4 times as wide as his living room. What is the total perimeter of his house?
Answer:
The perimeter of his house: 256 ft
Step-by-step explanation:
length of living room = 2 x length of garage
=2 x 8 ft
=16 ft
width of living room = 2 x width of garage
= 2 x 10 ft
= 20 ft
daniel house length = 3 x length of L.R
= 3 x 16 ft
=48 ft
daniel house width = 4 x width of L.R
= 4 X 20 ft
= 80 ft
preimeter of rectangle = 2[l + b]
= 2[ 48 +80 ]
= 256 ft
perimeter of house = 256 ft
What is the measure of x?
Answer:
[tex] x = 75\degree[/tex]
Step-by-step explanation:
In [tex] \triangle BDH,\: \angle x [/tex] is the exterior angle.[tex]\implies x = 36\degree + 39\degree[/tex] (By exterior angle theorem)[tex]\implies x = 75\degree[/tex]Toby just graduated from four years of college. at the beginning of each year, he took out a stafford loan with a principal of $6,125. each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. all of the loans were subsidized. toby plans to pay off each loan in monthly installments, starting from his graduation. what is the total lifetime cost for toby to pay off his 4 loans? round each loan's calculation to the nearest cent. a. $7,904.04 b. $31,616.16 c. $10,393.82 d. $36,490.25 please select the best answer from the choices provided a b c d
If he starts paying after four years, the worth of the loans by then is b. $31,616.16
What is a Loan?This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
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On a coordinate plane, 2 triangles are shown. triangle 1 has points at a (negative 3, 4), b (negative 2, 1), c (negative 4, 1). triangle 2 has points at a prime (4, negative 2), b prime (3, negative 5), c prime (5, negative 5). which rule represents the translation from the pre-image, δabc, to the image, δa'b'c'? (x, y) → (x 7, y 6) (x, y) → (x 7, y – 6) (x, y) → (x – 6, y 7) (x, y) → (x 6, y 7)
The rule which represents the translation from the pre-image (Δabc), to the image (Δa'b'c') is (x, y) → (y, x).
What is a triangle?A triangle simply refers to a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
Based on this triangle, we can deduce the following points:
The coordinates of a are given by (-3, 4).The coordinates of a' are given by (4, -2).By critically observing the triangle, we can also deduce that points were swapped as (x, y) → (y, x) and this is a reflection across line y = x.
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Answer:
B
Step-by-step explanation:
The diameter of a circle is 10 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Circumference = diameter x pi
Circumference = 10 cm x 3.14
Circumference = 31.4 cm
Cd Express offers 4 CDs for $60. Music place offers 5 CDs for $75. Which store offers the better buy?
Answer:
Music place offers better buy with $12.50
Step-by-step explanation:
Explanation:
To solve, we need to find the cost for 1 CD at both places. To do this, divide the total amount by how many CDs are bought. At CD Express, $60/4=$15, while at Music Place, $75/6=$12.50. Since Music Place is cheaper, Music Place offers a better buy.
(x + 14)
D
А
O
A. 38
B. 36
O C. 45
O D. 40
O E. 26
Please help me on this!
What is this equation called y=mx+b ?
(got another one removed)
Answer: it is called the slope intercept
Answer: Slope-intercept form
Step-by-step explanation:
The equation format of y = mx + b is slope-intercept.
-> m is the slope, or the steepness of the line
-> b is the y-intercept, or where the line intersects the y-axis.
6. Geographic Trends Janice has been offered
a job in Chicago where her current salary of
$30,000 will increase by 20 percent. Before
ct
accepting the position, Janice wants to
understand her potential cost of living. She
estimates that rent will be $1,500 per month.
She will have to take the train to and from
work, which will be $3.50 round trip daily. Her
food cost will be $75 per week. If Janice works
5 days a week for 52 weeks per year, what
will her annual income be after paying rent,
transportation, and food?
The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
What is the total cost?Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,
[tex]S=\dfrac{100+20}{100}\times30000\\S=36000[/tex]
He gets 6000 thousand extra after increment. Her annual income is,
[tex]S=36000\times12\\S=432000[/tex]
Before accepting the position, Janice wants to understand her potential cost of living.
She estimates that rent will be $1,500 per month. Thus, the She will have to take the train to and from work, which will be $3.50 round trip daily. Her food cost will be $75 per week.Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,
[tex]S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190[/tex]
Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
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What is the explicit formula of the arithmetic sequence?
-9, -6, -3, 0....
Answer:
Tn= -9+(n-1)×3
Step-by-step explanation:
d= t2-t1 =t3-t2....
=-6-(-9)=3
We realize that this is an arithmetic sequence
Therefore Tn= a + (n-1)d, whereby a if the first term= - 9,d=3
Tn=-9+(n-1)×3
Answer:An=-9+3(n-1)
Step-by-step explanation:
First, find the common difference (the amount you are adding each time). You can find this by taking the second term and subtracting the first term. Now, identify the first term. This is the first number in your list. Finally, plug the first term in for A1 and the common difference in for d in the equation an=a1+d(n-1) Note: Leave the variable n as part of the equation.
To make sure there is enough space for the donuts, Dave wants to add { inch to the minimum length, width, and height of the box. Including the additional space, what should be the length, width, and height of the new box, in inches? nter each answer in a separate response box.
The new length, width, and the height of the cuboid are (L+2) inches, (W+2) inches, and (H+2) inches respectively
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry. As the old length, width, and height are not given so we are assuming the length of the box is L, width is W, and height is H.
Dave wants to add 2 inches to the minimum length, width, and height of the box. Including the additional space. So the new length = (L+2) inches
New width = (W+2) inches
New height = (H+2) inches
Thus, the new length, width, and height are (L+2) inches, (W+2) inches, and (H+2) inches respectively.
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Imagine a card game in which you have a 1 out of 10 chance of winning. If you win, you get $10. If you lose, you pay $2. What is the expected value of this game
Answer:
Pay [tex]\$0.8[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the observed value of this game. Let positive values denote money received and negative values denote money paid.
There are two possible values for [tex]X[/tex]:
[tex]X = 10[/tex] (receive [tex]\$10[/tex],) and[tex]X = -2[/tex] (pay [tex]\$ 2[/tex].)The probability of each value is:
[tex]P(X = 10) = (1 / 10) = 0.1[/tex] as given in the question.[tex]P(X = -2) = 1 - (1/10) = (9/10) = 0.9[/tex].The expected value of this game, [tex]\mathbb{E}(X)[/tex], is an average of the outcomes [tex]x \in \lbrace 10,\, -2\rbrace[/tex] weighted by the probability [tex]P(X = x)[/tex] of each outcome:
[tex]\begin{aligned}\mathbb{E}(X) &= \sum\limits_{x} x\, P(X = x) \\ &= 10 \times P(X = 10) + (-2) \times P(X = -2) \\ &= 10 \times \frac{1}{10} + (-2) \times \frac{9}{10} \\ &= 1 - 1.8 \\ &= -0.8\end{aligned}[/tex].
The expected value of [tex]X[/tex] is [tex](-0.8)[/tex], meaning that on average, playing this game would require paying [tex]\$0.8[/tex].
Find the x- and y-intercepts of the graph of y=−13x+3
Answer:
x-intercept: [tex]\frac{3}{13}[/tex] or about 0.231 which is also written as ([tex]\frac{3}{13}[/tex], 0)
y-intercept: 3 which is also written as (0, 3)
[Solution One]
We can find the answer by graphing. See attached. The points at which the line intersects the different axes is the answer.
[Solution Two]
We can solve by plugging into the equation. We will do this by setting the other variable, the one we aren't solving for, to 0.
For the x-intercept:
y = −13x + 3
(0) = −13x + 3
0 - 3 = -13x + 3 - 3
-3 = -13x
[tex]\frac{3}{13}[/tex] = x
For the y-intercept:
y = −13x + 3
y = −13(0) + 3
y = 3
The ratio of boys to girls in the 8th grade is 5:6. If there are 75 boys in the 8th grade, how many are girls?
Answer:
There are 15 girls
Step-by-step explanation:
Given:- Ratio of boys to girls = 5:3
And, the number of boys = 75
let the girls be 5x and boys be 3x
so, 5 × 75 { given }
x = 75/5 = 15
6x= 6 × 15 = 90
6x/6 = 90/6 = 15
---~ Hope this helps~---
Which of the following conditions would guarantee that triangles are identical?
Two triangles with the same angle measurements (Ex:both triangles have angles 35,65, and 90 degrees)
Two triangles have one angle the same and two sides the same measurement (Ex: both triangles have a 40 degree angle and two sides that are 7 and 9 cm
long)
Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Two triangles have two angles the same and one side length the same measurement (Ex: both triangles have angles 62 and 29 degrees and a side length of
10 cm)
2
Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Step-by-step explanation:
1) This would guarantee similarity, but not necessarily that they are identical.
2) The angle has to be included between the two sides, which is not specifed.
3) This would work (SSS congruence)
4) It is not specified if the side is opposite the corresponding angles.
What is the range of this function?
-3 -5
0 -2
4 3
7 8
A(-5,-3,-2,0,3,4,7,8)
B (-5,-2,3,8)
C (-3,3)
D(-3,0,4,7)
Answer:
B (-5, -2, 3, 8)
Step-by-step explanation:
Remember this because you'll probably need it
The range consists of all the y-values that make up a function. Since all of the y-values are [-5, -2, 3, 8], the answer is B
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
Answer:
Devin needs 8 cups of shampoo.
Step-by-step explanation:
The ratio for shampoo:water is 2:9, so if Devin uses 36 cups of water, he needs 36/9 x 2 = 8 cups of shampoo
division equation where 13 is quotient with the dividend a whole number and a unit fraction is the divisor
The division equation that has a quotient of 13 is 1/1/13 = 13
How to determine the equation?The given parameters are:
Quotient = 13Dividend = Whole numberDivisor = Unit fraction i.e. 1/n where n is an integer.A division equation is represented as:
Dividend/Divisor = Quotient
Substitute 13 for the Quotient
Dividend/Divisor = 13
Recall that:
Unit fraction = 1/n
So, we have:
Dividend/1/n = 13
Let n = 13.
So, we have:
Dividend/1/13 = 13
This gives
13 * Dividend = 13
Divide both sides by 13
Dividend = 1
So, we have:
1/1/13 = 13
Hence, the division equation is 1/1/13 = 13
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Unit 6.6, Lesson 9: Practice Problems
Jarm-Up
Determine the greatest common factor (GCF) for each pair of numbers,
14 and 21
6 and 8
10 and 50
Answer:
the answer is 798 + 789 mawdgghhji the same time as the work of the Maroons
HELPP FOR BRIANLEST PLS
Answer:
63
Step-by-step explanation:
the sum of the interior angles of a triangle is 180
so,
70+47= 117
180-117= 63
Answer:
Your answer is 63°
Explanation:
47 + 70 + angle C = 180° (Sum of all angles of a triangle is 180).
117 + angle C = 180°
So,angle C =180 - 117= 63°
The radius of a single atom of a generic element x is 161 pm and a crystal of x has a unit cell that is a simple cubic. Calculate the volume of the unit cell
The volume of the unit cell that is a simple cubic is 1.1661622e⁻²⁰.
What is Volume?Volume is the space occupied by a three-dimensional object.
By the formula of volume of atom
[tex]\rm Volume(atom) = \dfrac{4}{3} \times \pi \times r^3\\Volume(atom) = \dfrac{4}{3} \times \pi \times (161 \times 10^-^2^3)^3\\Volume(atom) = 2.1574e^-^2^1[/tex]
There are total 4 atoms, in a FCC unit cell.
The total volume is
[tex]2.1574e-21 \times 4 = 8.6296e^-^2^1[/tex]
Volume of a unit cell will be
[tex]\dfrac{8.6296e-21}{0.74} = 1.1661622e^-^2^0[/tex]
Thus, the volume of the unit cell is [tex]\rm 1.1661622e^-^2^0[/tex]
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can someone help me out with this problem? Thank you!
Answer:
three (3).
Step-by-step explanation:
H=O+A
c^2=5^2+12^2
c^2=25+144
c^2=169
c=√169
c=13
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the value of c using Pythagoras theorem ~
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = {5}^{2} + {12}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = \sqrt{25 + 144} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = \sqrt{169} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = 13 \: units[/tex]
A local children's author donated 1,055 books to
Homestead Elementary School. The school librarian
will distribute an equal number of books to each of
the 33 classes, and keep any that are left over in
the library. How many books will each class get?
Answer:
31 books
Step-by-step explanation:
1,055 ÷ 33 = 31.96
31 books
How many different outcome pairs are possible from rolling a sixteen-sided and a twenty-sided
dice at the same time?
The number of the possible combinations from rolling a sixteen-sided and a twenty-sided dice at the same time is 320.
What is the combination?The arrangement of the different things or numbers in a number of ways is called the combination.
The possible outcomes for dice with 16 sides:-
{ 1,2,3,4,5,6,...............16}
The possible outcomes for dice with 20 sides:-
{ 1,2,3,4,5,6,...............20}
So the number of the possible pairs will be:-
= 16 x 20
= 320 pairs.
Therefore the number of the possible combinations from rolling a sixteen-sided and a twenty-sided dice at the same time is 320.
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Evaluate the expression.
A tablet computer costs $399. A person pays $433.91 in the store. What is the sales tax?
A)8.25%
B)8.75%
C)9.25%
D)9.75%
Answer:
B. 8.75%
Explanation:
Answer:8.75
Step-by-step explanation:
