Given:
Darcy harvests [tex]8\dfrac{3}{4}[/tex] acres of corn every [tex]\dfrac{5}{6}[/tex] of an hour.
Darcy harvests corn at a constant rate.
To find:
How many acres does she harvest per hour?
Solution:
We have,
Acres harvest in [tex]\dfrac{5}{6}[/tex] of an hours = [tex]8\dfrac{3}{4}[/tex]
Acres harvest in 1 hour = [tex]8\dfrac{3}{4}\times \dfrac{6}{5}[/tex]
= [tex]\dfrac{32+3}{4}\times \dfrac{6}{5}[/tex]
= [tex]\dfrac{35}{4}\times \dfrac{6}{5}[/tex]
Cancel out the common factors, we get
Acres harvest in 1 hour = [tex]\dfrac{7}{2}\times \dfrac{3}{1}[/tex]
= [tex]\dfrac{21}{2}[/tex]
= [tex]10\dfrac{1}{2}[/tex]
Therefore, she can harvest [tex]10\dfrac{1}{2}[/tex] acres of corn per hour.
Please answer properly.
Answer:
[tex]1) y=-6[/tex]
[tex]2)x=3[/tex]
[tex]3) y=8[/tex]
[tex]4)a=8[/tex]
Step-by-step explanation:
[tex]4y+24=0[/tex]
subtract 24 from both sides
[tex]4y=-24[/tex]
divide both sides by 4
[tex]y=-6[/tex]
---------->>>>
[tex]15+3=6x[/tex]
combine like terms
[tex]18=6x[/tex]
divide both sides by 6
[tex]3=x[/tex]
---------->>>>
[tex]9y-72=0[/tex]
add 72 to both sides
[tex]9y+72[/tex]
divide both sides by 9
[tex]y=8[/tex]
---------->>>>
[tex]8a=75-11[/tex]
combine like terms
[tex]8a=64[/tex]
divide both sides by 8
[tex]a=8[/tex]
--------------------------------------------
Hope this is helpful.
Line segment AB has endpoints A(6, 4) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.
Answer:
(3, 5.5)
Step-by-step explanation:
Given the line segment AB with endpoints A(6, 4) and B(2, 6). If the coordinates of the point divide the line segment directed from A to B in the ratio of 1:3, then;
M(X, Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
X = 1(6) + 3(2)/1+3
X = 6+6/4
X = 12/4
X = 3
Similarly;
Y = ay1+by2/a+b
Y = 1(4)+3(6)/1+3
Y = 4+18/4
Y = 22/4
Y = 5.5
Hence the required coordinate is (3, 5.5)
i have 4 times as much money as my brother has. our total is $55.how much does each of us have?
Answer:
You have 44$, your brother has 11$.
Step-by-step explanation:
Let [tex]x[/tex] be the amount of money your brother has.
Since you have four times the amount of money your brother has, we can call the amount of money you have [tex]4x[/tex].
[tex]x+4x=55,\\5x=55,\\x=\boxed{\$11}[/tex]
Thus, you have:
[tex]4(11)=\boxed{\$44}[/tex]
Answer:
he has 11 you have 44 dollars
MATH PROBLEM SOLVING
Answer:
Probability[Selected ball is a white ball without replacement (W)] = 5 / 22
Step-by-step explanation:
Given:
Number of white ball in jar = 5
Number of black ball in jar = 6
Find;
Probability[Selected ball is a white ball without replacement (W)]
Computation:
Probability of an event = Number of favorable outcomes / Total number of outcomes
Probability of 1st white ball = 5 / [5 + 6]
Probability of 1st white ball = 5 / 11
Probability of 2nd white ball [without replacement] = 5 / [11 - 1]
Probability of 2nd white ball [without replacement] = 5 / 10
Probability[Selected ball is a white ball without replacement (W)] = [5/11][5/10]
Probability[Selected ball is a white ball without replacement (W)] = 25 / 110
Probability[Selected ball is a white ball without replacement (W)] = 5 / 22
The school that Mark attends is selling tickets to a spring musical. On the first day
of ticket sales, the school sold 3 adult tickets and 8 student tickets for a total of $60.
The school took in $88 on the second day by selling 10 adult tickets and 8 student
tickets. What is the price of each adult ticket and child ticket?
Adult: $
Student: $
Answer:
Adult=4, Student=6
Step-by-step explanation:
a=adult, s=student
3a+8s=60 equation 1
10a+8s=88 equation 2
-3a-8s=-60 multiply equation 1 by -1
7a = 28 add above 2 equations
a=4
solve for s by inserting a value into either equation
3a+8s=60
3(4)+8s=60
12+8s=60
8s=48
s=6
What the measurements for b ? * just different problems*
Hola, alguien me puede resolver esta operación? a. Múltiplo de 5 y de 6 mayor que 95.000 ( _ 8 9 1 _ ) b. Divisible por 3, 4 y 5, menor que 4.675. ( 4 6 _ _ )
Answer:
a) 98,910
b) 4,620
Step-by-step explanation:
Recordar que un numero N es multiplo de A si N es divisible por A.
Entonces, decir:
Buscar N, tal que sea multiplo de A
es lo mismo que decir:
Buscar N, tal que sea divisible por A.
a) Queremos un múltiplo de 5 y de 6 mayor que 95.000
( _ 8 9 1 _ )
Sabemos que los múltiplos de 5 terminan en 0 o 5.
Y un número de 5 dígitos mayor que 95,000 requiere que el quinto digito en este caso sea 9, entonces tendremos:
98,91_
Para encontrar el dígito de las unidades, podemos probar remplazarlo por 0 y por 5, y luego dividirlo por 6.
Si el resultado es un número entero, entonces el número será un múltiplo de 6.
Probemos con 0, vamos a tener el número:
98,910
dividiéndolo por 6 obtenemos:
98,910/6 = 16,485
Entonces:
98,910 es más grande que 95,000
es múltiplo de 5 (porque termina en cero)
Y es múltiplo de 6, como acabamos de comprobar.
b) Ahora queremos un número divisible por 3, 4 y 5, que sea menor que 4,675
4,6__
De vuelta, como tiene que ser divisible por 5, sabemos que termina en 5 o 0.
Y como también tiene que ser divisible por 4, sabemos que tiene que terminar si o si en número par, entonces podemos concluir que solo puede terminar en 0.
Así, sabemos que el número va a ser algo como:
4,6_0
Ahora podemos probar con el dígito de las decenas, de tal forma que el número sea divisible por 3, 4 y 5.
Recordar que este número tiene que ser menor que 4,675
Entonces el número faltante puede ser:
0, 1, 2, 3, 4, 5, 6, 7
Ahora también podemos recordar que un número es solo divisible por 3 si la suma de todos sus dígitos es divisible por 3.
Entonces tenemos que tener que:
4 + 6 + x + 0 = múltiplo de 3
10 + x = múltiplo de 3
Los posibles valores de x van a ser:
x = 2 (porque 12 es múltiplo de 3)
x = 5 (porque 15 es múltiplo de 3)
Ok, ahora sabemos que el número restante solo puede ser 2 o 3.
Entonces tenemos que remplazar esos valores en el número y ver si este es divisible por 4 o no.
Comenzamos con el 2.
Tendremos el número:
4,620
Probamos dividiendo esto por 4:
4,620/4 = 1,155
El resultado es entero, entonces 4,620 es divisible por 4 (y por como lo creamos, también sabemos que es divisible por 3 y por 5, y además es menor que 4,675, como queríamos)
1. Select all sets of measurements that could identify the length, width, and diagonal of a rectangle,
respectively.
A. 5 feet, 7 feet, 8 feet
B. 6 feet, 7 feet, 12 feet
C. 8 feet, 9 feet, 10 feet
D. 9 feet, 12 feet, 15 feet
E. 7 feet, 10 feet, 13 feet
F. 1.5 feet, 2 feet, 2.5 feet
Answer: TRY E
IF WRONG TRY E, D, F
Step-by-step explanation:
Select the correct answer.
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second-grade students occupy the first row?
OA 25P20
OB. SPs * 20P15
OC5C525C14
OD. SPs *15P15
OE PSX25C5
Answer:
B. [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
Step-by-step explanation:
No. of students from first grade = 15
No. of students from second grade = 5
There are 5 rows of seats
Each row contains 5 seats
Total seats = 25
No. of ways for second-grade students to occupy the first row (i.e first 5 seats) = [tex]^{5} P_{5}[/tex]
Remaining seats = 20
So, now we are left with 15 first grade students
So, No. of ways for first-grade students occupy remaining seats = [tex]^{20} P_{15}[/tex]
Using the counting rule principle,
No. of ways for the students can be seated if all of the second-grade students occupy the first row = [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
So, Option B is the correct answer
Hence, no. of ways for the students can be seated if all of the second-grade students occupy the first row is ×
There are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
What is permutation?A permutation in math is the number of ways in which a set of data or objects can be ordered or arranged, where the order matters.
Given that, a school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second-grade travel in the bus.
Since you have to place all first-grade students in the first three rows,
Therefore,
For the 15 first-graders of the first three rows (15 seats), we have ¹⁵P₁₅ since all 15 places have to be occupied by all 15 first-graders.
Then we have 10 remaining seats left to be assigned to the 5 second-graders = ¹⁰P₅
We then multiply the permutation numbers of those two arrangements to get the total ways:
¹⁵P₁₅ x ¹⁰P₅
Hence there are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
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4) Which shampoo bottle size has the lowest price per ounce?*
Which capital letter appears to have an angle that is less than a right angle? \
H, L, T, Z
Answer:
Step-by-step explanation:
I think it’s z. The angles made are less than 90 degrees. The remaining letters all have right angles.
Can someone help me?It's urgent and thank you!
Answer number 3
Step-by-step explanation:
Answer:
hey, i answered in the wrong place last time, so i'm answering here again, it's letter c or d
Step-by-step explanation:
Pls help I’ll give crown
Answer:
B
Step-by-step explanation:
Figure A
2(8*4 + 4*4 + 4*8)
160
Figure B
6*4^2
96
Pls and thank you which one need to be used for these triangles
Answer:
sas ofc
side angle side
Step-by-step explanation:
what is 345% written in decimal form? i really need help :( thanks if u can!!
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 11 feet by 11 feet by 2 inches for a patio if the concrete costs $46.00 per cubic yard?
Answer:
$34.04
Step-by-step explanation:
The dimensions of a slab is 11 feet by 11 feet by 2 inches or 3.67 yards, 3.67 yards and 0.055 yards
We need to find the cost to pour a slab.
We know that the volume of a cuboid shape is given by :
V = lbh
Put all the values,
V = 3.67 × 3.67 × 0.055
V = 0.74 yards³
Cost,
C = $46 × 0.74
C = $34.04
Hence, the required cost is equal to $34.04.
John had to pay a combined electric and gas bill $150. The electric portion of the bill was $90. What is the ratio of money spent on electric to that on gas?
Given:
John had to pay a combined electric and gas bill $150.
The electric portion of the bill was $90.
To find:
The ratio of money spent on electric to that on gas.
Solution:
Let x be the amount of gas bill.
The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,
[tex]90+x=150[/tex]
[tex]x=150-90[/tex]
[tex]x=60[/tex]
The gas portion of the bill was $60.
The ratio of money spent on electric to that on gas is:
[tex]\text{Required Ratio}=\dfrac{\text{Electric bill}}{\text{Gas bill}}[/tex]
[tex]\text{Required Ratio}=\dfrac{90}{60}[/tex]
[tex]\text{Required Ratio}=\dfrac{3}{2}[/tex]
[tex]\text{Required Ratio}=3:2[/tex]
Therefore, the ratio of money spent on electric to that on gas is 3:2.
Fiona leaves $1600 in the bank for four years. It earns compound interest of 4% each year. Calculate the total amount Fiona has in the bank at the end of the four years
Answer:
A = $1,871.77
Step-by-step explanation:
A = P(1 + r/n)nt
Where,
A = Total money in the bank
P = principal = $1,600
r = interest rate = 4% = 0.04
n = number of periods = 1 year
t = time = 4 years
A = P(1 + r/n)^nt
A = 1,600(1 + 0.04/1)^1*4
A = 1,600(1 + 0.04)^4
= 1600(1.04)^4
= 1600(1.16985856)
= 1,871.773696
Approximately,
A = $1,871.77
What is the missing number that will complete the factorization?
Answer:
I don't know what the answer choices are because this question is used twice But if im guessing correctly you mean the one where the answer choices are 6, 8, 12, and 24. The Correct answer is 6
a2 + 8a + 12 = (a + 2)(a + )
The answer is 6
Step-by-step explanation:
One number is 16 more than the other and their average is 60. The numbers are *
Answer:
68
Step-by-step explanation:
Let The first number = X
& the Second one = X + 16
Sum of these two numbers = 120
X + X + 16 = 120
2X = 120 - 16
2X = 104
X = 52
So , the first number = 52
& Second one = 52 + 16 = 68
Answer:
The numbers are 52 and 68.
Step-by-step explanation:
Let x be the first number and y be the second. The question tells us that:
1) x = y + 16
2) (x + y) / 2 = 60
2 equations, 2 unknowns. Solve the system. Plug equation 1 into equation 2:
(y + 16 + y) / 2 = 60
2y + 16 = 120
y + 8 = 60
y = 52
Now plug the value of y back into either original equation. I'll use the first:
x = 52 + 16
x = 68
Could someone please help me please ASAP?
435 divided by 13,050
Nicholas graphed a triangle with vertices of (2, 4), (2, 0) and (5, 0). His classmate, Suzi, graphed a similar
triangle with a perimeter of 36 units. What was the area of Suzi's triangle? Show all work to support your
answer.
An
Step-by-step explanation:
Find the missing side
Answer:
12.94811641 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 44 = x /18
18 cos 44 =x
12.94811641 =x
Answer:
12.9
Step-by-step explanation:
cos(44) = x/18
x = cos(44) * 18
x = 12.9
Choose one of the following compounds; water, salt, or sugar, each is made of either two or three elements. Use a dictionary, encyclopedia, or website and look up each element for the compound. Then do the following:
Write a description of the element including anything you learn about the element’s properties: how the element smells, what color it is, what phase (solid, liquid, or gas) it occurs in, and whether it is poisonous or not. Is it used for anything in its elemental form?
(I know I put it in the mathematics section but that's because hardly any people answer in the biology one)
Answer:
Water is a compound. One molecule of water is made up of H2O or 2 hydrogen atoms and 1 oxygen atom. Water is colorless, tasteless, shapeless, and sizeless.
Step-by-step explanation:
Water is a compound made up of two hydrogen and one oxygen.
What are Compounds?Compounds are chemical substances formed by the combination of two or more different elements.
Here consider the compound Water.
A Water molecule is made up of two hydrogen atoms and one oxygen atom.
The molecular formula is H₂O.
Consider the element hydrogen from water.
Hydrogen is an element which does not have any smell and does not have color.
In the room temperature, hydrogen exists in gaseous state. It will turn in to liquid at low temperature and high pressure.
Hence water is a compound made up of two hydrogen and one oxygen.
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what is the area of this rectangle?
Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
Write equation for the line that is parallel to the x axis and passing through (3,2)
Answer:
y = 2
Step-by-step explanation:
horizontal lines are parallel to the x-axis
The horizontal line through (3, 2) is
y = 2
2.) Write the probability as a fraction in simplest form. P (consonant) *
5 points
B
A
С
F.
D
E
1/6
2/3
Ο Ο Ο Ο
0.75
2
Answer:
2/3
Step-by-step explanation:
There are 6 different letters and 4 of them are consonants, so:
4/6 simplify it by 2:
2/3
Bilal goes for a cycle ride he starts at 3pm he finishes at 5:38pm he has a total of 25 min rest during the ride work out how long in hours and minutes he spends cycling
Answer: 2 hr and 13 min
Step-by-step explanation:
Given
Bilal starts at 3 PM and finishes at 5:38 PM
He took a rest of 25 min
Total time spent 2 hr and 38 min
time spend in cycling is given by
[tex]\Rightarrow 2\ hr\ 38\ min-25\ min\\\Rightarrow 2\ hr\ 13\ min\ or\\\Rightarrow 120\ min+13\ min=132\ min\ or\\\Rightarrow 2+0.21=2.21\ hr[/tex]
NOT DRAWN TO SCALE. find x