Ms. Huck can dig 4 holes in 5 hours. Mr Varga can dig holes 3 times as fast. What is the constant of proportionality
between the number of holes Mr. Varga can dig and the number of hours?
Answers
Answer:
yes
Step-by-step explanation:
Related Questions
A grain dealer sold to one customer 5 bushels of wheat, 2 of com, and 3 of ryo, for $228: to another, 2 of wheat, 3 of corn, and 5 of ryo, for $228, and to a third, 3 of wheat, 5 of com, and 2 of rye, for $228. What was the price per bushel for com?
Answers
Answer:
2.30 :) hope this helps!!!!!!! :)
Step-by-step explanation:
w = wheat c = corn r = rye
6w + 3c + 6r = 45.90
3w + 6c + 6r = 49.20
6w + 6c + 3r = 41.40
since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:
if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r
-6w - 3c - 6r = - 45.90
3w + 6c + 6r = 49.20
------------------------------------
- 3w +3c = 3.30 or w - c = - 1.10
If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the r again:
-12w - 12c - 6r = - 82.80
6w + 3c + 6r = 45.90
------------------------------------------
- 6w - 9c = - 36.90 or 2w + 3c = 12.30
now we have 2 equations and 2 variables that we can solve by substitution:
w = c - 1.10
2(c - 1.10) + 3c = 12.30
2c - 2.20 + 3c = 12.30
5c = 14.50
c = 2.90
w = c - 1.10 or 1.80
3r = 41.40 - 6(1.80) - 6(2.90)
3r = 13.20 r = 4.40
I will pick the 2nd equation to check my answers :)!
3(1.80) + 6(2.90) + 6(4.40) = 49.20
5.40 + 17.40 + 26.40 = 49.20
As per linear equation, the price per bushel for corn is $22.8.
What is a linear equation?A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.
Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.
To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.
To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.
Let, per piece of wheat is of $x.
Per piece of corn is of $y.
Per piece of rye is of $z.
Therefore, 5x + 2y + 3z = 228 ....(1)
2x + 3y + 5z = 228 .........................(2)
3x + 5y +2z = 228 ..........................(3)
Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:
2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)
⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)
⇒ (- 11y - 19z) = - 684
⇒ 11y + 19z = 684 ......(4)
Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:
3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)
⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228
⇒ - y + 11z = 228 .......(5)
Now, multiplying equation(5) by '11' and then add with equation (4), we get:
11y + 19z + 11(- y + 11z) = 684 + 11(228)
⇒ 140z = 3192
⇒ z = 22.8
Putting the value of 'z' in equation (5) we get:
- y + 11(22.8) = 228
⇒ y = 22.8
Now, putting the values of 'y' and 'z' in equation (1), we get:
5x + 2(22.8) + 3(22.8) = 228
⇒ 5x = 114
⇒ x = 22.8
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A box contains 2 blue markers, 5 green markers and 3 yellow markers. What is the probability of drawing a blue marker, replacing it, then drawing a yellow marker?
Write as a fraction in simplest form
Answers
Answer: 2/3
Step-by-step explanation 5/15 is the probability of blue marble will get picked but if simple form will be 2/3
Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.
Answers
Answer:
50
Step-by-step explanation:
10*5=50
What’s the correct answer for this question?
Answers
Step by step explanation
|-7|=7
Help me pls I’m stuck
Answers
Answer: 44
Step-by-step explanation:
<R is an inscribed Angle- so if we follow it's ends to the intercepted Arc we are looking at arc NQ
the intercepted arc is 2 times the measure of the inscribed angle, so arc NQ is 44 (22*2)
<O has the same measure as the arc NQ so angle O is 44
What is the answer please help no links please no links please no
Answers
Hope that helped XD
12
2 + 8
2
=
-10c + 40c + 32c =
2x + (-5x)=
-23x + 10x =
Answers
Answer:
62 c
-3x
-13x are the answer
Answer:
hi
Step-by-step explanation:
-10c + 40c + 32c =62c
2x+(-5x)= -3x
-23x+10x= -13x
hope it helps
have a nice day
A study of the effects of exercise used rats bred to have high or low capacity for exercise. The 8 high-capacity rats had mean blood pressure 89 mm Hg and variance 81 (mm Hg)'; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169 (mm Hg). What is the value of the two-sample t statistic for comparing the two population means
Answers
Answer:
T statistic = 0.256
Step-by-step explanation:
Given :
High capacity rats:
nh = 8
Xh = 89
s²h = 81
Low capacity rats :
nl = 8
Xl = 105
s²l = 169
Test statistic :
(Xh - Xl) ÷ Sp(sqrt(1/nh + 1/nl))
Pooled variance (Sp) :
[(nh - 1)s²h + (nl - 1)s²l] ÷ (nh + nl - 2)
[(8 - 1)*81 + (8 - 1)*169] ÷ (8 + 8 - 2)
(7*81 + 7*169) ÷ 14
= 1750 / 14
= 125
Hence,
(89 - 105) ÷ 125(sqrt[1/8 + 1/8)
16 ÷ (125 * 0.5)
16 /62.5
= 0.256
The net of a triangular prism is shown
What is the surface area of the prism
A. 46 cm
B. 54 cm
C. 69 cm
D. 72 cm
E. 96 cm
Answers
Answer:
D
Step-by-step explanation:
Formula
SA = 2*triangles + 2 * rectangles on the east and west + 1 base rectangle
Triangles
Area = 1/2 * b * h
Area = 1/2 * 6 * 4
Area = 12
But there are 2 of them so the surface area = 24
Base
Area = L * W
Area = 6* 3
Area = 18
Other 2 rectangles
Area one of them = L * W
L = 5
W = 3
Area one of them = 5*3
Area one of them = 15
But there are 2 of them so the area = 2*15 = 30
Total area = 24 + 18 + 30
Total area = 72
D
20. Find the volume of the hemisphere in terms of pi. Round to the nearest whole number. 5 in 5 in
Answers
Answer:
Step-by-step explanation:
Someone come help him out
Which equation can be used to solve for x in the following diagram
Answers
Answer:
c) 5x + 13x = 180
Step-by-step explanation:
c) 5x + 13x = 180
c) 5x + 13x = 180
I need the answer please don’t scam with a link
Answers
b.) True
c.) True
d.) True
During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?
Answers
Answer:
Most snow- 3 1/2 inch least snow, 1/2 inch
Step-by-step explanation:
best answer gets a brainliest answer it’s due today
Answers
Answer:
b
Step-by-step explanation:
I think b is your answer if not I'm so sorry.
Is -5>2 true or false explain your answer
Answers
Answer:
It's false
Step-by-step explanation:
it's false because the number that is closer to 0 is the greater number so it would be 2> -5
Robert recently purchased a bond for $1350. The bond has a par value of $1000 and a coupon rate of 4.00%. Based on this
information, you know that Robert's current effective interest rate earned on the bond is
and when the bond matures
he will receive
O 4.00%; $1000.
O 2.96%; nothing.
O 2.96%; $1000.
O 4.00%; $1350.
Answers
PLEASE HELP QUICKLY I WILL GIVE BRAINIEST IF U GET IT RIGHT math teacher assigns anywhere from 15 to 35 problems for homework three nights a week. Over the past three weeks, she recorded the number of problems in each assignment and made the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Number of Problems: 15, 17, 22, 22, 22, 25, 28, 30, 35
B.
Number of Problems: 15, 20, 22, 22, 23, 25, 28, 30, 35
C.
Number of Problems: 15, 20, 22, 22, 22, 25, 28, 30, 35
D.
Number of Problems: 15, 20, 22, 22, 22, 25, 26, 30, 35
Answers
Billy has two tables to seat the 12 people.
The top of each table is a rectangle 3 m by 1 m.
Each person sat at a table needs a space of length 1 m.
Billy wants to put the two tables together so that
they touch along one edge
all 12 people can sit at a table. Draw a diagram to show how Billy can put the two tables together.
Use the space below to draw your diagram.
Answers
Answer:
What is this I have not understand
What is the y-intercept in the graph below?
y
1
Answers
Answer:
1
Step-by-step explanation:
y-intercept: the point where the line and the y-axis intersect
Answer:
y-intercept =1
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
Answers
Answer:
The cube root and square root are not given, but I'm going to give a chart that might help.
Square roots:
2 = √4
3 = √9
4 = √16
5 = √25
9 = √81
10 = √100
Cube roots:
2 = ^3√8
3 = ^3√27
4 = ^3√64
5 = ^3√125
9 = ^3√729
10 = ^3√1000
Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)
Answers
A person invested $420 in an account growing at a rate allowing the money to double
every 10 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $960?
Answers
Answer:
t=11.9
Step-by-step explanation:
960=420(2)^t/10
2.28571429=2^t/10
add log to both sides
log(2.28571429)=10 t log(2)
divide by log 2
1.19264508= 10 /t
10(1.19264508)
11.926450779=t
Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A new quadrilateral is created, using a scale factor of 0.25. Which of the following are side lengths of the new quadrilateral? Choose all that apply: 1.) 1.75 2.) 3 3.) .75 4.) 5 5.) 2.25 6.) 1.25
Answers
Answer:
1, 2, and 6
Step-by-step explanation:
5*.25=1.25 7*.25=1.75 12*.25=3
I need help please. I need the the discount and selling price. Thank you
Answers
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than quarters. She has 3 more nickels than quarters. She has 4 more pennies than quarters. How many quarters does Jasmine have? Note: A quarter is worth $0.25, a dime is worth $0.10, a nickel is worth $0.05, and a penny is worth $0.01.
Answers
Answer:
dw
Step-by-step explanation:
I need help on finding this answer
Answers
Answer:
I think Cube
Step-by-step explanation:
If iis raised to an odd power, then it can not simplify to be
0-1
O-1
Oi
Answers
O-1 id k maybe
I tried ok have a great day
The value of i³ will be equal to - i. The correct option is D.
What is a complex function?The functions which are having two parts to the numbers one is the real part and the other is the imaginary part. The imaginary part is written with 'i' called 'iota'.
Multiplying is the process of adding a number to itself a certain number of times. It is possible to think about multiplication as a process of repeated addition.
Given that;
i = √ - 1
Simplify the given value as below,
i = √ - 1
i² = - 1
i³ = - 1 × i
i³ = - i
Hence, the value of i³ is,
⇒ i³ = - i
Learn more about the complex numbers visit:
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The complete question is given below.
If i=1, what is the value of 1³?
A -1
B i
C 1
D -i
write numbers on the blanks to create a different expression that is equal to (3+4)+5
Answers
Answer:
(3+4)+5=12
Step-by-step explanation:
(3 + 4 ) = 7
7 + 5 =
12
A boy collects a total of 316 stamps, stickers and coins altogether. He collects 4 times as many stamps as stickers. There are 46 coins. How many stamps are there?
Answers
Answer:
270 i tink it is the answer
184 Answer:
Step-by-step explanation:
4 times as
Find the area of the trapezoid:
28 in.
16 in.
21 in.