Answer:
s = c + 15
s + c = 27
substitute for s:
(c + 15) + c = 27
2c = 12
c = 6
s = 21
The system of equation which correctly represents the situation is s + c = 27 and s - c = 15.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given that,
Combined total of sheep and cows = 27
Number of sheep = Number of cows + 15
Let s represents the number of sheep and c represents the number of cows.
s + c = 27
s = c + 15 ⇒ s - c = 15
Hence the system of equation is s + c = 27 and s - c = 15.
Learn more about System of Equations here :
https://brainly.com/question/24065247
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The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.
Answer:
12566.4 mm²
Step-by-step explanation:
The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.
TSA = Total Surface Area
CSA = Curved Surface Area
TSA of open cylinder = CSA of cylinder + area of base or top
= 2πrh + πr²
= πr(2h + r)
From the above question:
r = 50mm
h = 15mm
Hence,
= π × 50 (2 × 15 + 50)
= π × 50 (30 + 50)
= π × 50(80)
= π × 4000
= 12566.370614mm²
Approximately = 12566.4 mm²
The Surface Area of the petri dish with no lid = 12566.4 mm²
A bag holds 2 red and 7 blue marbles. What is the probability of not selecting a red marble?
2/7
O a
Ob
7/2
2/9
Od
779
What is the measure of FBC?
Type your response below
Answer:
150
Step-by-step explanation:
Since EC is 180,
180-30=150
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
x = 112
Step-by-step explanation:
1/8x + 2 = 16
Subtract 2 from both sides
1/8x = 14
Multiply both sides by 8
x = 112
The answer to this would be really greattt
Answer:
270 cm2
Step-by-step explanation:
multiply the two triangles is 60
the rectangle on the left 35
rectangle on the bottom 84
rectangle on the top 91
3/4x-1 1/2x+7
23
32
46
92
Answer:
92 is your answer
Step-by-step explanation:
we have
3x/4-1=x/2+7 side of square are equal
3x/4-x/2=7+1
(3x-2x)/4=8
x=8×4=32
length =3×32/4 -1=24-1=23
now
perimeter=4×length=4×23=92 units
Answer: The perimeter of the square is 92 units.
Step-by-step explanation:
All four sides of a square are equal. Set the given values 3/4x - 1 and 1/2x + 7 equal to one another. It should like this: 3/4x - 1 = 1/2x+7. The next step is solving for x. We get x = 32 as our answer. See the image of the work below if you are confused. :) Next, plug in this answer to the original equations: 3/4x-1 and 1/2x+7.
3/4(32) - 1 = 23
1/2(32) + 7 = 23
After basic substitution, we will conclude that each side of the square is 23 units long. To find perimeter use the equation 4s (let s represent sides). 4(23) = 92 units. Hope this was helpful!
Tameka is seeking a loan with a simple interest rate of 8% per year. If she borrows $5,000, how much interest will she be charged after 24 months?
Answer:
$800
Step-by-step explanation:
5000 × 8% = $400(interest in a year)
400 × 2 = $800(24 months=2years)
Find the surface area. Urgent!
Answer:
306 cm²
Step-by-step explanation:
Sorry if this is wrong doing mental math
What is the gradient of the line that passes through the points (0,0) and (3,3)?
Answer:
1
Step-by-step explanation:
the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as
rise/run
or
change in y value/change in x value
or
(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).
We have two coordinates (0,0) and (3,3)
Therefore,
x1 = 0, y1 = 0
x2 = 3, y2 = 3
If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.
Answer:
.........................
Step-by-step explanation:
.................................................
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 3 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
`
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
hope this helps
plz can i get brainliest:)
i dont understand this.
Answer: J
Step-by-step explanation:
BRAINLIEST plus 30 points IF NO LINKS!
PLZ HELP!
Answer:
3 is A 2 is 7 or around 32 and then 1 you gotta figure it out.
Step-by-step explanation:
This may not be correct but hopefully it is..
The height of a cylinder is twice the radius of its base
Answer:
2πr³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ← r is the radius and h the height
Here h = 2r, hence
V = πr² × 2r = 2πr³
Answer:
yes
Step-by-step explanation:
HURRRYYY PLEASEEE. A ballasted roof is flat and covered with gravel to hold the roofing material in place. Adam plans to cover the roof in the diagram with gravel.
The area that Adam plans to cover with gravel is
. If the weight of the gravel is 12 pounds per square foot, the total weight of gravel on the roof will be
.
What is the measure of z?
Angles are not necessarily drown to scale.
B
156°
А
0
0
Answer:
The missing angle is 24 degrees
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
x+156 = 180
Subtract 156 from each side
x+156-156 = 180- 156
x = 24
The missing angle is 24 degrees
Two functions are described below
·Function 1: y is defined as a function of x by the equation y = 3 - 3x/5.
·Function 2: y is defined as a linear function of x by the table:
X Y
-5 12
-1 7.2
2 3.6
8 -3.6
Which statement is true?
A. The y-intercept of Function 2 is half the y-intercept of Function 1.
B. The y-intercept of Function 1 is half the y-intercept of Function 2.
Answer:
The answer is B
Hope this helped ;)
What is the first step to solve this equation:
11 - 3x = 44
Question 3 options:
Add 3 to both sides
Add 11 to both sides
Subtract 11 from both sides
Divide 3 on both sides.
At the craft store, Janice bought a bag of green and yellow marbles. She received 14 green marbles and 11 yellow marbles. What percentage of the marbles were green?
Answer: 56%
Step-by-step explanation:
Since Janice bought a bag of green and yellow marbles and she received 14 green marbles and 11 yellow marbles, the total number of marbles will be:
= 14 + 11 = 25 marbles
Number of Yellow marbles = 11
Number of Green marbles = 14
Total number of marbles = 25
The percentage of the marbles that were green will be:
= Number of Green marbles / Total marbles × 100
= 14/25 × 100
= 14 × 4
= 56%
Please answer correctly! I will mark you Brainliest!
Answer:
27
Step-by-step explanation:
V=a^3=3^3=27
The China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. If the list price is $58.75, what is the trade discount? What is the net price?
Answer: See explanation
Step-by-step explanation:
Since the complement is the difference between 100% and discount rate. Since the China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. Therefore, the discount rate will be 80% and the complement 20%.
Therefore, the trade discount will be:
= List price × Trade discount rate
= $58.75 × 80%
= $58.75 × 0.8
= $47
Net price = List price - Trade discount
= $58.75 - $47
= $11.75
which angles are vertical to eachother
Answer:
∠1 and ∠4
Step-by-step explanation:
what number should come next in the pattern 1,2,3,5,8
HELP!!!! Put the following in order from greatest to least.
Answer:
A
Step-by-step explanation:
A = 9, 7, 5, -2, -6, -8
a diagonal walkway cuts through a park bordered by two parallel streets. the parks department plans to add an additional walkway as indicated by the dashed line segment in the figure
Answer:
42
Step-by-step explanation:
What is the figure shown below?
N
м.
A...line
B..line segment
C..ray
Answer:
c its Ray I looked on goggle and I looked up Ray and it showed a picture of that
Answer:
Its a ray I didnt need to look it up cause I alr did this before
What is the area of the figure shown? 3 in. 10 in. 5 in. 10 in.
Please I need help—
Answer:
65 in²Step-by-step explanation:
The total area is the sum of the areas of the rectangle and the triangle:
5*10 + 1/2*10*3 = 65 in²Answer:
area of figure =area of (rectangle+TRAINGLE)
=l×b+1/2 p×b=10×5+1/2 ×3×10=50+15=65 inch² is your answer
does anyone know the answer?
Answer:
E
Step-by-step explanation:
Answer:
It's E l did that before
7/12 = 3x/9
In the equation above, what is the value of x?
A. 4/7
B. 4/21
C. 1 3/4
D. 5 1/4
Don’t link any websites please.
Answer:
C. x = 1 3/4
Step-by-step explanation:
7/12 * 9 = 3x/9 * 9
63/12 = 3x -->
(63/12) / 3 = 3x / 3
63/36 = x
x = 7/4 --> 1 3/4
[tex]\frac{33}{4-\sqrt{5} }[/tex]
Which number has the greatest value?
A 7.8 x 10-3
B 1.3 x 10-6
C 5.5 x 10-3
D 9.5 x 10-2
Answer:
D 9.5 x 10^-2
Step-by-step explanation:
D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2