A type of fish for your aquarium costs $8 each. You can spend at most $48. How many of these fish can you buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.
Answer:
x ≤ 6
Step-by-step explanation:
Cost of fish = $8
You can spend at most $48
How many of these fish can you buy?
Let
x = number of fishes you can buy
The inequality is
8x ≤ 48
Divide both sides by 8
x ≤ 48/8
x ≤ 6
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14 m . Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
21.07 m²
Step-by-step explanation:
Please find the complete question in the attached image
Area of shaded region = area of rectangle - area of semicircle
Area of semicircle = [tex]\frac{1}{2}[/tex]πr²
π = 3.14
r = radius = 14/2 = 7m
the diameter of the semicircle is 14m , thus the radius would be half of the diameter
(1/2) x 3.14 x 7² = 76.93 m^
Area of a rectangle = length x width
width = radius of semicircle = 7
14 x 7 = 98 m²
Area of shaded region = 98 m² - 76.93 m^ = 21.07 m²
Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.
Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.
Answer:
Step-by-step explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
A is wrong. A square maximizes the area.
B is correct.
C The areas are not the same. C is wrong.
D is wrong. Both fence proposals work.
Answer:
B is correct
Explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
Hope this helps! :)
What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.
How much would my grade go down?
PLEASE HELP ME
Answer:
you got 21.5/50 on final grade
and aslo follow me for more information
If there are 4 outcomes, what is the
probability that I get tails then tails?
Answer:
50%
Step-by-step explanation:
because it is a two side coin
Help me with this math function below!!
9.
Find the slope of the line.
A. -1/4
B. 4
C. 1/4
D. -4
Answer:
9. A. -1/4
Step-by-step explanation:
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
If this has helped you please mark as brainliest
Answer:
A. -1/4
Step-by-step explanation:
Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?
Answer:
The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.
Step-by-step explanation:
Six people share 3/8 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.
answer=1/4
explanation ; 6divided by 3/8=0.25 which is equal to 25/100 or 25 divides 25 once and divides 100 4 times giving 1/4
If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter
Step-by-step explanation:
If 3.25m is equal to 15kg then what about 1m?
3.25m = 15kg
1m =?
Then by cross multiplication we get 4.615 kg
Re-write the quadratic function below in Standard Form
y = 5(x - 5)(x - 4)
8 x 9/3= x 1/3
What number makes the equation true?
Answer:
72
Step-by-step explanation:
3×(8×9/3=X1/3) then 8×9=X, then X=72
A regular polygon is a polygon with blank sides and angles
Please help:)
this worth 100 POINTS!!
Answer:
I think the second answer
Step-by-step explanation:
I'm late but it's the second answer!
Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet
Answer:
I cannot tell you the answer because there isn't adequate information.
But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)
Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?
The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².
The solutions to the equation is x = -9 + √89 or x = -9 - √89.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 6 = 2 - 18x
x² + 18x = 8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² + 18x + (18/2)² = 8 + (18/2)²
x² + 18x + 81 = 8 + 81
Part 2.
x² + 18x + 81 = 89
x² + 9x + 9x + 81 = 89
x(x + 9) + 9(x + 9) = 89
(x + 9)(x + 9) = 89
x = -9 + √89 or x = -9 - √89.
Read more on quadratic functions here: brainly.com/question/14201243
#SPJ1
Please help me and show working. I have a test very soon.
Answer:
c = 3
Step-by-step explanation:
Given
[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares
[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]
Multiply through by (c - 2)(c + 2) to clear the fractions
2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side
2c + 4 - 3c + 6 = 7
- c + 10 = 7 ( subtract 10 from both sides )
- c = - 3 ( multiply both sides by - 1 )
c = 3
Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).
Answer:
17.7
Step-by-step explanation:
I'm assuming you meant R(17, -2) to W(-2, 3). Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5. Think of these as the legs of a right triangle. The distance between these points is the length of the hypotenuse of this triangle: d = √(5^2 + 17^2)
or √314, which, to the nearest tenth is 17.7.
Find the rate of change from the table.
==================================================
We're asked to find the slope:
m = slope
m = (y2-y1)/(x2-x1)
m = (50-20)/(4-2)
m = 30/2
m = 15
The rate of change is 15. Each time x goes up by 1, y increases by 15.
slope = rise/run = 15/1
rise = 15, run = 1
I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.
of the pie.
If a person has eaten 2 out of 4 equal pieces of pie, then they have eaten
A. 1/2
B. 1/4
C. 1/3
D. 2/3
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
-0.5
Step-by-step explanation:
(3-2)=1
(-4-1)=-5
1÷(-5)= -0.5
At an annual teacher’s conference everyone is served tea with their dinner. Let H be the event that a randomly selected participant puts honey in their tea. Let S be the event that a randomly selected participant puts sugar in their tea. Suppose that afteryears of collecting data, the staff of this conference have estimated the following probabilities.P(H) = 0.14 P(S) = 0.65 P(H or S) = 0.73Estimate P(H and S) and interpret this value in the context of the problem.A.P(H and S) = 0.06, The probability that a randomly selected participant puts sugar and honey in their tea is 0.06.B.P(H and S) = 0.06, The probability that a randomly selected participant puts sugar or honey in their tea is 0.06.C.P(H and S) = 0.79, The probability that a randomly selected participant puts sugar and honey in their tea is 0.79.D.P(H and S) = 0.79, The probability that a randomly selected participant puts sugar or honey in their tea is 0.79
Answer:
im looking for the same one :(
Step-by-step explanation:
1
What is the solution to the equation 4
1 7 1
8 8*3*?
X=-5
X=-4
X=4
x=5
Answer:
im sorry
Step-by-step explanation:
i need points or else i fail
I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
shortest distance run to the longest distance run.
2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
the temperature was 10' F, so Michael said that the temperature had gone up
7 degrees. Is he correct? Explain why or why not.
--3
Answer:
lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb
Step-by-step explanation:
HELLP PLZ ZZZZZZ FOR MY HOMEWORK......
Answer:
4 books
Step-by-step explanation:
$3.80 divided by 95cents = 4
Someone please help I’ll give brainliest!!!!
Answer:
move the line up one
Step-by-step explanation:
You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?
Answer:
14 min on Stairmaster
16 min on Bike
Step-by-step explanation:
s = time on Stairmaster
b = time on bike
System of Equations:
s + b = 30
7s + 12b = 290
let 's' = 30-b
Substitution Method:
7(30-b) + 12b = 290
210 - 7b + 12b = 290
5b + 210 = 290
5b = 80
b = 16
s + 16 = 30
s = 14
PLEASE HELP DUE TODAYY
Answer:
y <= 0
Step-by-step explanation:
it's shaded when the value of y is 0 or below 0 (the vertical axis)
SOMEONE PLEASE HELP !!
Answer:
you would have to add them together
Step-by-step explanation:
you add 9pi cm^2 to 1/4
hop this helps kid
Answer:
The radius is 199.85 cm^3
I NEED HELP PLS I WILL MARK BRAINLIEST
Answer:
[tex]\approx 11.2\:\mathrm{in}[/tex]
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by [tex]2r\pi\cdot \frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the circle and [tex]\theta[/tex] is the angle of the arc.
In this problem, we're given:
[tex]\theta = 40^{\circ},\\r=16[/tex]
Substituting given values, we get:
[tex]2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}[/tex]