A rectangular garden has a length of 12 feet. You need 36 feet of fencing to enclose the garden. What is the width of the garden.
The width of the rectangular garden is 6 feet with a perimeter of 36 feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, A rectangular garden has a length of 12 feet.
Assuming the width of the garden to be x feet.
We know the perimeter of a rectangle is 2(length + width).
∴ 2(12 + x) = 36.
24 + 2x = 36.
2x = 12.
x = 6 Or the width is 6 feet.
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Regroup to express the number in a different way , please help
16 less than one-fourth of some number, w" can be expressed algebraically as
Help!
During exercise, the recommended maximum heart rate in beats per minute is modeled by the formula, M = 176 – 0.8A, where M is the maximum heart rate and A is the person’s age. Solve the formula for A. At what age would you have a recommended maximum heart rate in beats per minute of 140?
A) 40 years
B) 50 years
C) 25 years D)
45 years
Find the value of y, rounded to the nearest tenth. Please help me, I'd appreciate it!!
the length of the hypotenuse is:
6.
12.
36.
[tex]6 \sqrt{3[/tex]
Tommy has a piece of toast that has butter on one side, and he dropped it twice. Both times, it landed with the butter side up. If he drops it two more times, what is the probability that it will have landed butter side up a total of three times?
Answer: The required probability is 50%.
Step-by-step explanation: Given that Tommy has a piece of toast that has butter on one side.
The first two times dropped the piece, it landed with the butter side up.
We are to find the probability that the piece will have landed butter side up a total of three times, if he drops it two more times.
For the butter side to be landed up three times, one of the last two drops must land butter side up.
Let, 'S' denotes the sample space for the experiment of dropping the piece for the last two times, then
n(S) = 2.
Let, 'B' be the event of getting one of the last two drops landed butter side up, then
n(B) = 1.
Therefore, the probability of getting one of the last two drops landed butter side up will be
[tex]P(B)=\dfrac{n(B)}{n(S)}=\dfrac{1}{2}=50\%.[/tex]
Thus, there is 50% probability of landing butter side up a total of three times.
The first card selected from a standard 52-card deck was a king. if it is not returned to the deck, what is the probability that a king will be drawn on the second selection?
there would be 3 kings left and 51 cards left
so it would be a 3/51 which reduces to 1/17 probability
The probability of drawing a king from a 52-card deck on the second draw, given that a king was drawn on the first draw and was not replaced, is 1 in 17.
Explanation:The question pertains to the concept of probability, specifically with regards to sampling without replacement in a 52-card deck. First, let's identify the elements: there are 4 kings in a 52-card deck. When one king is drawn and not replaced, there are now 51 cards left with 3 kings.
The probability of drawing a king on the second draw, with the first king not replaced, is the number of favorable outcomes (drawing a king) divided by the total number of outcomes (total cards left). Hence, the probability is 3/51 = 1/17.
This means that there is 1 chance in 17 of drawing a king on the second draw if a king has been drawn on the first draw and not replaced.
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richerd works at an ice cream shop. regular cones get two scopes of ice cream and large cones get three scoops. One hot saturday richard scooped 234 regular cones and 156 large cones one scoop of ice cream is 3 ounces a tub of ice cream is 10 pounds how many tubs of ice cream did richerd use to make the cones?
234 x 2 = 468 scoops
156 x 3 = 468 scoops
468 + 468 = 936 total scoops
936 x 3 = 2808 ounces
16 ounces = 1 pound
2808/16 = 175.5 pounds
175.5/10 = 17.55 tubs
round answer as needed
One school survey showed that 3 out of 5 students own a pet. Another survey showed that 6 out of 11 students owned a pet. Are these results equivalent? Explain your reasoning.
-1/9 - (-2/15)
write in simplest form
You have just purchased a 10-year, $1,000 par value bond. the coupon rate on this bond is 8 percent annually, with interest being paid each 6 months. if you expect to earn a 10 percent simple rate of return on this bond, how much did you pay for it?
True or False: The sample size you need to estimate the population distribution should always be at least 10% of the population size.
False. The sample size needed to estimate the population distribution should not always be at least 10% of the population size.
Explanation:False. The statement that the sample size needed to estimate the population distribution should always be at least 10% of the population size is not true. The size of the sample needed depends on various factors such as the original population, the level of confidence desired, and the margin of error allowed. For example, if the population is large and diverse, a smaller sample may still provide a reliable estimate of the population distribution. It is important to consider statistical concepts such as normal distribution and sampling techniques when determining the appropriate sample size.
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I really suck at math. please help =)
Express the volume of a cone, V, as a function of its radius, r, if the radius is 1/5 of the height.
A marina is in the shape of a coordinate grid. Boat A is docked at (4.2, −2) and Boat B is docked at (−5.2, −2). The boats are ____ units apart. A) 6.2 B) 7.2 C) 9.4 D) 13.4
Answer:
Your answer will be D.
Step-by-step explanation:
I did it on the test and got it correct.
james put $1000 in a 2-year CD paying 7% interest, compounded monthly.
Answer with explanation:
Principal = $ 1000
Time = 2 years
Rate of Interest = 7 %
Since of rate of interest is compounded monthly,
then, [tex]R=\frac{7}{12}\\\\T=2 \times 12 =24[/tex]
Amount after 2 years
[tex]=P\times [1 +\frac{R}{100}]^T\\\\=1000 \times [1+\frac{7}{1200}]^{24}\\\\=1000 \times [\frac{1207}{1200}]^{24}\\\\=1000 \times (1.00583)^{24}\\\\=1000\times 1.14972\\\\=1149.72[/tex]
Amount after 2 years, when rate of interest, is compounded monthly=$ 1149.72
the base of this solid crate has an area of 6 square centimeters the height of the crate is 4 meters what is the volume of the crate
Answer:
2 × 10³ cm³
Step-by-step explanation:
Given data
Area of the base: 6 cm²Height of the crate: 4 m = 4 × 10² cmConsidering the crate is a cuboid, its volume (V) is:
V = length × width × height
Since
area of the base = length × width
We get
V = area of the base × height
V = 6 cm² × 4 × 10² cm
V = 2.4 × 10³ cm³ ≈ 2 × 10³ cm³ (we round off to 1 significant figure)
Evaluate the limit, if it exists. (if an answer does not exist, enter dne.)lim h → 0 (x + h)3 − x3h
To evaluate the limit of (x + h)³ - x³h as h approaches 0, we can expand the expression using the binomial theorem and simplify. The resulting expression can be factored to show that as h approaches 0, the entire expression becomes 0. Therefore, the limit is 0.
Explanation:To evaluate the given limit, we can start by expanding the expression (x + h)³ using the binomial theorem. This gives us (x³ + 3x²h + 3xh² + h³) - x³h. Simplifying further, we can cancel out the x³ terms and obtain 3x²h + 3xh² + h³ - x³h. Now, we can factor out h from the expression to get h(3x² + 3xh + h² - x³). As h approaches 0, the entire expression becomes 0, since h is being multiplied by a polynomial that does not contain h. Therefore, the limit is 0.
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Linda deposits $500 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 4 years?
How much water should be added to 14 mL of 15% alcohol solution to reduce the concentration to 7%?
To decrease the concentration of a 15% alcohol solution to 7%, 16 mL of water needs to be added to the original 14 mL solution.
Explanation:The problem involves using the concept of concentration dilution that is C1V1 = C2V2, where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.
First, we need to convert the percentage to decimal so, C1=0.15 (15% as a decimal) and C2=0.07 (7% as a decimal). We know V1=14 mL (the starting volume of the 15% alcohol solution) and we are solving for V2.
Insert the known values into the equation and solve for V2: (0.15)(14) = (0.07)(V2). After calculation, V2 is approximately 30 mL.
To figure out how much water should be added to reduce the concentration from 15% to 7%, subtract the initial volume from the final volume: 30 mL - 14 mL = 16 mL.
So 16 mL of water needs to be added to the 15% alcohol solution to reduce the concentration to 7%.
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What is the limit for lim x -> 2 int x
How many millimeters are there in 5 meters?
1 meter = 1000 mm
so 5 meters = 5 x 1000 = 5,000 millimeters
The Kwon family has a rainwater catchment system they use to water their garden. After 3 days without rain, the depth of water in the tank is 63 inches. After 5 days, the depth is 57 inches. What will the depth of water in the tank be after 17 days?
63-57 = 6 inches in 2 days
6/2 = 3 inches per day
17-5 = 12
12*3 =36 inches in 12 days
57-36 = 21 inches after 17 days
What is the cube root of 0?
The cube root of 0 is 0; this is because 0 multiplied by itself three times is 0.
The cube root of 0 is simply 0. This is because any number, when multiplied by itself three times, which is what we are doing when we take the cube of a number, that results in 0, must have been 0 to start with. The cube root operation is asking us what number, when cubed, gives us the original number, and in the case of 0, 0³ equals 0. Therefore, the cube root of 0 is 0.
Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $500 item is $30, what is the sales tax on a $900 item?
Answer: $54
Step-by-step explanation:
The equation to show the direct variation in two quantities x and y is given by :-
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
The tax on a $500 item is $30.
Let 'x' be the sales tax on a $900 item.
Then , we have the following equation:-
[tex]\dfrac{x}{900}=\dfrac{30}{500}\\\\\Rightarrow\ x=\dfrac{900\times30}{500}\\\\\Rightarrow\ x=54[/tex]
Hence, the sales tax on a $900 item = $54
A farmer is going to plant carrots on 5 3/14 acres, corn on 4 23/42 acres and peppers on 2 5/21 acres. If each acre requires 6 bags of fertilizer, how many bags of fertilizer does the farmer need to plant all the acres?
Round to the nearest while decimal 6.7
What percent of 28.8 is 3.6?
divide them:
3.6/28.8 = 0.125
0.125 = 12.5%
Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y when x = –2?
Answer:
Direct variation states that the relationship between two variables in which one is a constant multiple of the other one.
In other words, when one variable changes the other one changes in proportion to the first.
i.e, if y is directly proportional to x then, the equal will be of the form is, y= kx where k is the constant of variation.
Given: y varies directly with x, and y = 8 when x = –6
By definition of direct variation,
y = kx
Substitute the values of x = -6 and y=8 to solve for k;
8 = -6k
Divide both sides by -6 we get;
[tex]k = -\frac{8}{6} = -\frac{4}{3}[/tex]
Now, to find the value of y when x = 2 we have;
[tex]y = -\frac{4}{3}x[/tex]
Substitute the given value of x =-2 we have;
[tex]y = -\frac{4}{3} \cdot -2 = \frac{8}{3}[/tex]
Therefore, the direct variation related x and y is, [tex]y = -\frac{4}{3}x[/tex]
and the value of [tex]y =\frac{8}{3}[/tex] when x = -2