Answer:
The answer will be two parallel lines.
Step-by-step explanation:
This occurs due to the fact that they have the same slope, so they will never cross each other.
A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?
Answer:
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Step-by-step explanation:
Let,
x be the pounds of oatmeal used
y be the pounds of crispies used
z be the pounds of chocolate
According to given statement;
1.50x+2.00y+1.00z = 17.00 Eqn 1
x+y+z = 11 Eqn 2
x = 2y Eqn 3
Putting x=2y in Eqn 2
2y+y+z = 11
3y+z = 11 Eqn 4
From Eqn 4
z = 11 - 3y Eqn 5
Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1
1.50(2y) + 2.00y + 1(11-3y) = 17.00
3y+2y+11-3y=17
[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]
Putting y = 3 in Eqn 3
x= 2(3)
x= 6
Putting in Eqn 2
6 + 3 + z = 11
z = 11-9
z= 2
Hence,
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Bella purchased 4.2 pounds of apples for $7.77. what is the cost of one pound of apples?
Answer:
Its $1.85 per 1 lb of apples
Step-by-step explanation:
Divide $7.77 by 4.2lb
Write a system of inequalities
A boy at an amusement park has 38 ride tickets. Each ride on the roller coaster costs 5 tickets. After riding the roller coaster as many times as he can,how many tickets will the boy have left?
Answer:
He will expend 35 tickets for 7 rides. 3 tickets are left.
Step-by-step explanation:
Giving the following information:
Number of tickets= 38
Tickets per ride= 5
To calculate the number of rides he can make, we need to use the following formula:
Number of rides= number of tickets / tickets per ride
Number of rides= 38/5
Number of rides= 7.6 = 7 rides
He will expend 35 tickets for 7 rides. 3 tickets are left.
which integer is √45 closest to
Answer:
√45 lies between 6 and 7 .
Step-by-step explanation:
We know that. √36=6. And. √49=7. It makes sense that √36<√45<√49 therefore 6<√45<7 .
Can someone please help me answer this
Answer:
45/100 and 55/100
Step-by-step explanation:
Simplify the Fraction, if you dont know how just look up fraction simplifier
Zach's pet mouse drinks 1.084 milliliters of water each week.
Round the amount of water to the nearest hundredth.
Answer:
it is 1.08
Step-by-step explanation:
it was this on khan
The following are the temperatures in °C for the first 14 days of January:
-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5
What is the median temperature for those 14 days?
Answer:
14.5°C
because -6+-2.5+2+2.5+-0.5+5+10+-3+-7+3+-7+3+-1+7+1=14.5
Algebra
Please help me
Answer:
Step-by-step explanation:
3) slope is rise over run.. look at the graph and count
from the dot rise=4 run=2 4/2 = 2 slope of 3) is 2
4) rise = -3 run =1 slope of 4) is -3
5) rise =1 run =2 slope of 5) is 1/2
6) rise = ∞ run = 0 slope of 6) is undefined
6x + 3y = 12
4x + y = 14 what is the solution
Answer:
x=5 y=-6
Step-by-step explanation:
6x + 3y = 12 , 4x + y = 14
4x*3+y*3=14*3
12x+3y=42 , 6x+3y=12
(12x-6x)+(3y-3y)=30
6x=30, x=5
4*5 + y = 14
y=-6
What’s the solution for 6x = 18
Answer:
x = 3
Step-by-step explanation:
Divide 6 on both sides to get your answer which is 3.
Answer: x=3
Step-by-step explanation:
6x=18
x=18/6
x=3
Check: 6(3) =18
Dario increased his savings from $350 to $413. What is Dario's percent increase in
savings?
Answer:
18%
Step-by-step explanation:
413-350=63%
(63/350)*100=18%
Harry and Tim both made New Years resolutions. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answer:
Harry made 9 resolutions
Step-by-step explanation:
Okay, so the first thing that we have to do is divide 13 by 2.
Of course, it wouldn't equal so let's just say 6.
So both boys made around 6 resolutions each.
Now we have to take into consideration the 5 more resolutions that Harry made.
What I did to answer this question was I kept taking away Tim's resolutions and giving them to Harry until Harry had 5 more resolutions than Tim.
Finally, my resolution ratio came to 4:9
Tim made 4 resolutions and Harry made 9
In conclusion, Harry made 9 resolutions.
Plz mark me brainliest :)
There are 9 resolutions did Harry make.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Harry and Tim both made New Years resolutions.
Harry made 5 more resolutions than Tim.
And, Together they made 13 resolutions.
Now,
Let number of resolution Tim make = x
Then, Number of resolution Harry make = x + 5
Since, Together they made 13 resolutions.
Hence, We get;
⇒ x + (x + 5) = 13
⇒ 2x = 13 - 5
⇒ 2x = 8
⇒ x = 4
Thus, Number of resolution Harry make = x + 5
= 4 + 5
= 9
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Evaluate.
3 1/5 / 5 √-96=
Answer:
((3 1/5)/5) √(-96) =
6.27069374 i
Step-by-step explanation:
-1/6 + 4/5 Write your answer in simplest form
Answer:19/30
Step-by-step explanation:
1. multiply and divide(left to right)-1/6
=-1/6+4/5
2.multiply and divide(left to right)4/5
=-1/6+4/5
3. add and subtract(left to right)-1/6+4/5=19/30
=19/30
Whats 3^2 in standard form?
Answer:
9
Step-by-step explanation:
3*3 = 9
if that's what you're asking
17.82 + 6.4 =
???????
Answer:
24.22
Step-by-step explanation:
simple addition right lol
Answer:
24.22
Step-by-step explanation:
!!!!!!!!!!!
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Step-by-step explanation:
Is this some typing error? Please retype your question for assistance
Harold opened a credit card at a department store with an APR of 14.55% compounded monthly. What is the APY on this credit card?
Answer:
the APY on this credit card is 15.56%
Step-by-step explanation:
The computation of the APY is as followS:
The nominal monthly rate is
= 0.1455 ÷ 12
= 0.012125
Now
real annual rate= [(1 + Nominal monthly rate)^number of months] - 1
= [(1.0.12125^12) - 1]
= 15.56%
Hence, the APY on this credit card is 15.56%
The same is considered by applying the given formula
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Tyrone and Neil got in trouble at football practice and have to run laps as a consequence.
Tyrone, who runs at a rate of 2 laps per minute, had completed 4 laps already when he was
joined on the track by Neil. Neil's pace is 6 laps per minute. At some point, the two will have
run the same distance. How many laps will each boy have run? How long will that take?
Tyrone and Neil will each have run
laps in
minutes.
Please help me with this I’ll mark brainiest
Answer:
44/2 = ?/22
I am so glad I could help!
If you need any more help, make sure to send me a friend request.
Make sure to rate, like and give brainliest so I know how well I did.
-maddy <33
will mark highest !
Answer:
59 degree
Step-by-step explanation:
Since it is right angle
so 90-31
59 degree
Answer:
59
Step-by-step explanation:
this is a right angle according to the picture so it measures 90 degrees
a=90-31=59degrees
A cleaning company charges $3 per square foot and a flat fee of $100. Which of the equations below shows the cost y, in dollars, of cleaning a patio that is x square foot? Hint: find the key words and corresponding amounts for "m" and "b."
Step-by-step explanation:
Y= 3x + b
As, to know the total, which is y, we need to solve for the cost
So first for money per square foot = $3
For square foot = x
So, price for x square foot = $3x (here this is the value of m)
Now, for value b,
$100 is added to the cost as its the charge, as the flat fee
So the value of b = $100
So, y=3x+100
Find the perimeter of the following shapes 9cm and 4.1?
Answer: a) 26.2 cm
Step-by-step explanation:
Perimeter of rectangle = 2 (l + w)
2 (l + w) = 2 (9 + 4.1) = 2 (13.1) = 26.2 cm
Hope this helps!
-8 + (6/7) plz help i need hlep
Answer:
The answer is -0.14
Answer:
0.14 is correct i looked it up to make sure
Step-by-step explanation:
What is the total price of 2.6 pounds of pears at 90 cent per pound?
Answer:
It would be $2.34
Step-by-step explanation:
2.6x90=234 but in this case it is money so add a decimal
Gregor Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today, Gregor has 228 peas to examine. The pods have 6 peas per pod.
How many pods of peas are there?
Answer:
There are 38 pods, because 228 divided by 6= 38
Step-by-step explanation:
(number of pods)×(peas per pod)=(total peas)
A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?
Answer:
They will Markup the price by $19.76.
Step-by-step explanation:
Markup percent = 38%
Wholesale Price = $52
Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.
so
Markup price = 38% of 52
= 38/100 × 52
= 0.38 × 52
= $19.76
Therefore, they will Markup the price by $19.76.
Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).
Answer:
The radius of the given circle ( r ) = 2√2
Step-by-step explanation:
Step(i):-
Given that the center of the circle C = ( -2,1)
Given a point on the circle P = (0,3)
The distance between the center and point is called the radius of the circle
CP = radius of the circle
Step(ii):-
[tex]CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}[/tex]
CP = √8 = [tex]\sqrt{4 X 2} = 2\sqrt{2}[/tex]
Final answer:-
The radius of the given circle ( r ) = 2√2
Shannon and Bob are members of a cross-country team. Bob runs at a rate of 8 kilometers per hour and Shannon runs at a rate of 10 kilometers per hour. If the distance around the team's practice course is 1.7 kilometers, how much longer does it take Bob to complete one trip around the course than Shannon, to the nearest tenth of a minute?
Answer:
2.6 minutes
Step-by-step explanation:
Speed of Bob = 8 km/hr
Speed of Shannon = 10 km/hr
Distance of practice course = 1.7 km
As time = (distance)/(speed), so
Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours
Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours
As t1 > t2, so, Bob takes more time than Shannon to complete the course.
t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.
On rounding up to tenth digit, t1-t2 = 2.6 minutes.
Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon