A zookeeper is monitoring the supply of grain and hay that she has to feed the
animals for the week. She currently has eight pounds of hay. One pound of hay
feeds the animals for three days. The grain that she has to feed the animals is
shown in the graph below. Given the rate at which the zookeeper is giving the
animals hay and grain, on which day will she have the same amount of grain and hay remaining?
Answers
Answer: Day 6
Step-by-step explanation: Every 3 days 1 pound of hay is used every day 1 pound of grain is used. There are 10 pounds of grain and 8 pounds of hay. On the 6th day there are 6 pounds of hay left and 6 pounds of grain left.
Related Questions
What is −5/6÷9/10?
−27/25
−4/3
−25/27
−3/4
Answers
Answer:
-25/27
Step-by-step explanation:
Answer:
\( - \frac{ 25}{27} \)
Step-by-step explanation:
\( - \frac{5}{6} \div \frac{9}{10} \\ - \frac{5}{6} \times \frac{10}{9} \\ \frac{ - 50}{54} \\ \frac{ - 50 \div 2}{54 \div 2} \\ \frac{ - 25}{27} \)
3. To break the school's record, the girls' time had to be faster than 12 2/5minutes. Did the girls break the record? If so, how much faster werethey? If not, how much slower were they?
Answers
ANSWER
The girls did not break the record
STEP-BY-STEP EXPLANATION:
Given information
\(\begin{gathered} Barbara\text{ spent }3\frac{3}{10}\text{ minutes to complete the relay race} \\ \text{Donna spent 2}\frac{4}{5}\text{ minutes to complete the relay race} \\ \text{ Cindy spent x minutes to complete the relay race} \\ \text{ Nicole spent }2\frac{1}{10}\text{ minutes to complete the relay race} \end{gathered}\)From the question provided, the record set by the school is 12 2/5 minutes
The next step is to find the time spent by Cindy in the relay race
\(\begin{gathered} 3\frac{3}{10}\text{ + 2}\frac{4}{5}\text{ + x + 2}\frac{1}{10}\text{ = 12}\frac{2}{5} \\ \text{The next process is to convert the mixed fraction into an improper fraction} \\ \frac{33}{10}\text{ + }\frac{14}{5}\text{ + x + }\frac{21}{10}\text{ = }\frac{62}{5} \\ \text{let the co}mmon\text{ denominator be 10} \\ \frac{33\text{ + 14(2) + 10x + (21})}{10}\text{ = }\frac{62}{5} \\ \frac{33\text{ + 28 + 10x }+\text{ 21}}{10}\text{ = }\frac{62}{5} \\ \frac{82\text{ + 10x}}{10\text{ }}\text{ = }\frac{62}{5} \\ \text{Cross multiply} \\ 5(82\text{ + 10x) = 62 }\times10 \\ 410\text{ + 50x = 620} \\ \text{subtract 830 from both sides} \\ 410\text{ - 410+ 50x = 620 - 4}10 \\ 50x\text{ = 210} \\ \text{Divide both sides by 50} \\ \frac{50x}{50}\text{ = }\frac{210}{50} \\ x\text{ = }\frac{21}{5} \\ x\text{ = 4}\frac{1}{5}\text{ minutes} \end{gathered}\)The next step is to sum all the minutes spent in the relay race
\(\begin{gathered} \text{Total minutes =}\frac{33}{10}\text{ + }\frac{14}{5\text{ }}+\frac{21}{5}+\text{ }\frac{21}{10} \\ \text{Total minutes = }\frac{33\text{ + 28 + 42 + 21}}{10} \\ \text{Total minutes = }\frac{124}{10} \\ \text{Total minutes = 12}\frac{4}{10}\text{minutes} \end{gathered}\)From the above calculations, you will see that the girls ran a total of minutes of 12 4/10 minutes
Therefore, the girls did not break the record
The circumference of a circle is 15pi centimeters what is the area of the circle in terms of pi?
Answers
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 4 In this number.
842,963
Answers
Use substitution to solve the system of
equations: 5x + 5y = -30
2x - y = 15
Answers
Answer:
x = 3, y = - 9
Step-by-step explanation:
5x + 5y = - 30...... (1)
2x - y = 15
-y = 15 - 2x
y = 2x - 15..... (2)
From equations (1) & (2)
5x + 5(2x - 15) = - 30
5x + 10x - 75 = - 30
15x = 75 - 30
15x = 45
x = 45/15
x = 3
Plug x = 3 in equation (2)
y = 2*3 - 15
y = 6 - 15
y = - 9
Therefore,
x = 3, y = - 9
or
(x, y) = (3, - 9)
Divide through by 5
X + Y = -6
Multiplying the equation by 2 and the equation 2x - y = 15 by 1 in order to get rid of x
2x + 2y = -12
2x - y = -15
Subtracting both equations
3y=3
y=1
Substituting y = 1 to get x in any equation
Using 2x - y = -15
2x - 1 = -15
2x =-15 + 1
2x = -14
x = -14/2
x = -7
I dont understand the second question in the picture
Answers
Answer:
ako naiintindihan mobako
If the sample space, S = {1, 2, 3, 4, …, 15} and A = the set of odd numbers from the given sample space, find Ac.A.{1, 2, 3, 4, 5, 6, …, 15}B.{1, 3, 5, 7, 9, 11, 13, 15}C.{1, 2, 3, 4, 15}D.{2, 4, 6, 8, 10, 12, 14}
Answers
A^c is the complement of set A.
Given that A is a subset of S, then A^c contains the elements present in set S but not in set A.
The sets are:
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
A = {1, 3, 5, 7, 9, 11, 13, 15} (odd numbers present in S)
Therefore, the elements present in set S but not in set A are:
\(A^c=\mleft\lbrace2,4,6,8,10,12,14\mright\rbrace\)
Solve using the quadratic formula or factoring ... 5=6x^2 + 13x
Answers
Answer:
x = \(\frac{-5}{2}\) or x = \(\frac{-1}{3}\)
Step-by-step explanation:
5 − 6 2 − 1 3 = 0
− 6 2 − 1 3 + 5 = 0 -6x^2-13x+5=0 −6x2−13x+5=0 − 1
( 6 2 + 1 3 − 5 ) = 0
Answer:
- 5/2, 1/3
Step-by-step explanation:
See image below:) I could only show half of the steps. But you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps.
Can someone help me please??
Answers
Which is the best estimate of -14 1/9(-2 9/10)?
-42
-28
28
42
Answers
The best estimate of \(-14\frac{1}{9} (-2\frac{9}{10})\) is option (d) 42
The given expression is \(-14\frac{1}{9} (-2\frac{9}{10})\)
First we have to convert the mixed fraction to the simple fraction
Mixed fraction is the a fraction represented with its quotient and remainder
Simple fraction is a fraction having whole numbers for the numerator and denominator.
The estimation is the process of calculating the approximate value of a process or calculation
First term is
\(-14\frac{1}{9}=-\frac{9(14)+1}{9}\)
= -127/9
The second term is \((-2\frac{9}{10})\)
Convert the mixed fraction to the simple fraction
\(-2\frac{9}{10}= -\frac{10(2)+9}{10}\)
= -29/10
Multiply first term and second term
(-127/9)×(-29/10) = 40.92
Hence, the best estimate of \(-14\frac{1}{9} (-2\frac{9}{10})\) is option (d) 42
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write an equation of the line that passes through the given point and has the given slope. (1, -5); slope -3/2
Answers
Answer: 4 ft 2 in i believe <3
Step-by-step explanation:
Question 10 of 10
Which would not be a step in solving 5x + 15 + 2x = 24 + 4X?
A. Collect variable terms on one side.
OB. Isolate the variable.
C. Use the distributive property.
Ο Ο
D. Collect like terms.
SUBMIT
Answers
Answer:
first you correct like terns
If f(x) = 3x² and g(x) = x+2, find (f•g)(x)
Answers
Answer:
Step-by-step explanation:
3x^2(x +2) = 3x^3 + 6x^2 is the answer
A batch of lotion was made at a factory by mixing 1.3 liters of ingredient A with 2.7 liters of ingredient B in a mixing vat. By accident, a worker added an extra 0.5 liters of ingredient A to the mixing vat. How many liters of ingredi-ent B should the worker add to the mixing vat so that the ingredients will be in the original ratio
Answers
Answer:
The worker needs 3.74L of ingredient B
Step-by-step explanation:
Given
\(A:B = 1.3L:2.7L\)
Required
Determine the B equivalent of (1.3L + 0.5L) of A
\(A:B = 1.3L:2.7L\)
Convert to Fraction
\(\frac{A}{B} = \frac{1.3L}{2.7L}\)
\(\frac{A}{B} = \frac{1.3}{2.7}\) ----(1)
For the new mix of A
\(New\ A = 1.3L + 0.5L\)
\(New\ A = 1.8L\)
New A requires New B:
So:
We have:
\(New\ A: New\ B\)
Convert this to fraction;
\(Ratio = \frac{New\ A}{New\ B}\)
Substitut2 1.8L for New A
\(Ratio = \frac{1.8L}{New\ B}\) --- (2)
Equate (1) and (2)
\(\frac{1.8L}{New\ B} = \frac{1.3}{2.7}\)
Cross Multiply:
\(New\ B * 1.3 = 1.8L * 2.7\)
Divide through by 1.3
\(New\ B = \frac{1.8L * 2.7}{1.3}\)
\(New\ B = \frac{4.86L}{1.3}\)
\(New\ B = 3.74\ L\) (Approximated)
Hence;
The worker needs 3.74L of ingredient B
Find the missing side lengths leave your answer as a racials simplest form
Answers
Answer:
x = 20
y = 10
Answered by Gauthmat
I WILL MARK BRAINLIEST
HELp
ASAP
Answers
Answer:
The first box
Step-by-step explanation:
Hope this helps!
Travel Expenses, Meals And Entertainment, Educational Expenses (LO 3.4, 3.5, 3.6) Bob is a self-employed lawyer and is required to take a week of continuing legal education every year to maintain his license. This year he paid $1,400 in course fees for his continuing legal education in a different city. He also paid $500 for airfare and a hotel room and paid $300 for meals, all of which were provided by the hotel’s restaurant. Bob also purchased a $10 bag of snacks from a newsstand while waiting for his plane in the airport because he missed lunch. What is the total amount he can deduct on his Schedule C related to these expenses? fill in the blank 1 of 1$
Answers
Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
How to calculate deductible amount?To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:
Course fees for continuing legal education: $1,400
Airfare and hotel room: $500
Meals provided by the hotel's restaurant: $300
Snacks from the newsstand: $10
To calculate the total amount that Bob can deduct, add up these expenses:
$1,400 + $500 + $300 + $10 = $2,210
Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
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3
\(3 \sqrt{81} \)
what's the answer
Answers
Answer will be 27.
Given,
3√81
Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.
For example, squares of
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Square roots,
√100 = 10
√81 = 9
√64 = 8
√49 = 7
√36 = 6
√25 = 5
√16 = 4
√9 = 3
√4 = 2
√1 = 1
Now ,
3√81 = 3× 9
= 27.
Thus the value is 27.
Know more about Square roots,
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What is the solution to the equation?
1/2n+3=6
n = 18
n = 9
n = 6
n=3/2
Answers
start by plugging them in to thr problem
1/2n+3-3=6-3
1/2n=3
n=6
Hope this helps
Solve for x.
Enter the number that belongs in the green box
Answers
Answer:
x = 45
Step-by-step explanation:
Because these are two congruent triangles inside of each other we can set up an equivalency ratio.
25/35 = x/65
Multiply both sides by 65 to get x alone
65 * 25/35 = x/65 * 65
(65 * 25)/35 = x1
1576/35 = x
x = 45
Hope this helps,
Find the volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0). Slices perpendicular to the x-axis are semicircles. Enter answer using exact values.
Answers
The volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0) is 25π/12 cubic units.
What is a triangle?
A triangle is a closed geometric shape that is formed by connecting three line segments. These line segments are called sides, and the points where they meet are called vertices. A triangle has three sides, three angles, and three vertices.
To start, let's graph the triangle to get a better understanding of the problem:
(0,3) *
|\
| \
| \
| \
| \
(0,0) *-----*-----> x
(5,0)
The height of this slice is given by the line from the point (x,0) to the point (0,3), which has equation y = 3/5 * x + 0. The radius of the semicircle is half the height of the slice, which is given by the equation r = 3/10 * x.
The area of a semicircle is πr²/2, so the volume of this slice is:
V(x) = π * (3/10 * x)² / 2 * dx
To find the total volume of the solid, we need to integrate this expression over the range of x values that covers the entire base of the solid, which is from x=0 to x=5:
V = ∫₀₅ π * (3/10 * x)² / 2 dx
V = π/20 * ∫₀₅ x² dx
V = π/20 * [x³/3] from 0 to 5
V = π/20 * (5³/3)
V = π/4 * (25/3)
V = 25π/12
Therefore, the volume of the solid is 25π/12 cubic units.
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Help plz:)))I’ll mark u Brainliest
Answers
Answer:
D. S ≅ VStep-by-step explanation:
ASA means the two angles and the included side need to be equal.
We see that angles R and U are congruent as well as sides VU and RS. We need sides VU and RS to be included between the angles. Hence, angles V and S must also be congruent. The correct answer is D.
Help hurry, my grade depends on it, thank you!!
Answers
Answer:
i really really believe that it is B
A RESEARCH DEPARTMENT PRODUCED THE MARGINAL COST FUNCTION
C (X) =300- x/2 ,0 ≤ X ≤ 900
Where (c') x is in dollars and x is the independent variable C(0) =0.
Find the increase in cost C (x) if X increases from 300-310.
a.1475
b.1455
c.1555
d.2000
Answers
Answer: The correct answer would be D
Step-by-step explanation:
I’m just guessing ;)
Determine the two equation that represent the following situation:samia paid 15$ for 6 and 3 pens where her brother mohammed paid 9$ for 2 cards and 5 pens.
let x represent the number of cards
and y represent the number of pens
(with steps
Answers
Answer: Let's use the given information to set up two equations using x and y as variables:
From the first statement, we know that Samia paid $15 for 6 pens and 3 cards. Let's set up an equation to represent this:
6y + 3x = 15
Similarly, from the second statement, we know that Mohammed paid $9 for 2 cards and 5 pens. Let's set up an equation to represent this:
5y + 2x = 9
So the two equations that represent the situation are:
6y + 3x = 15
5y + 2x = 9
Note that we could have chosen to use different variables, but the important thing is that we use the same variables consistently in each equation.
Step-by-step explanation:
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation -3x+3=4-4x?
Answers
Answer: x= 1
Step-by-step explanation: solve for x by simplifying both sides of the equation, then isolating the variable.
1) what is the value of x ?
2) what is the measure of angle ABC
3) what is the measure of angle CBD
PLEASE HELP ILL MARK BRAINLIEST
Answers
Answer:
a). x = 9
b). m∠ABC = 27°
c). m∠CBD = 153°
Step-by-step explanation:
1). Property of linear pair of angles states, "sum of linear pair of angles is 180°"
3x + (15x + 18) = 180°
18x + 18 = 180
18x = 180 - 18
18x = 162
x = 9
2). m∠ABC = 3x°
= 3×9
= 27°
3). m∠CBD = (15x + 18)°
= (15×9 + 18)°
= (135 + 18)°
= 153°
Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form.
(4,6), undefined slope
Answers
In 2013, voyager 1 traveled 1,468,800 kilometers each day. Whats that in scientific notation
Answers
Answer: 1.4688 x 10^6
Step-by-step explanation: Number has to be in between 1 and 10. Moved the decimal 6 places so that is your exponent
A 30-N NET FORCE ON A SKATER PRODUCES AN ACCELERATION OF 0.6 M/S SQUARED. WHAT IS THE MASS OF THE SKATER. (URGENT, HELP ASAP PLEASE!!!!!!!) WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST :)
Answers
Answer:
50 kg
Step-by-step explanation:
got deleted last time so here we go again
divide net force by the accaleration to get 50