if a rectangle has a perimeter of 18 cm, and a height of 4 cm, what is the area?
Answer:
20 cm²
Step-by-step explanation:
Look at the diagram attached.
If the height is 4cm, we will have two sides that are 4cm for our rectangle.
We can label the other sides as x.
They are both x since opposite sides of a rectangle are equal in length.
We can make an equation with our perimeter:
[tex]2(4) + 2(x) = 18\\8 + 2x = 18\\2x = 10\\x = 5[/tex]
Now that we know the length & height, we can calculate the area:
4 × 5 = 20 cm²
A large food distributor claims that 45% of all individuals who purchase eggs from its grocery stores choose standard white eggs, 25% choose standard brown eggs, 20% choose organic eggs, and 10% choose free-range eggs. To investigate this claim, researchers collected data from a random sample of the distributor's customers in a large city. The results were 274 white, 159 brown, 126 organic, and 41 free-range egg purchases. Are the data from the sample consistent with the distributor's claim? Conduct an appropriate statistical test at the 5% significance level to support your conclusion. Make sure to include parameters, check conditions, and show calculations before formulating a conclusion.
The statistical test at the 5% significance level shows that we fail to reject the null hypothesis.
How to compute the statistical test?From the information given, the level of significance is 0.05 and n is 600. The degree of freedom will be:
= 4 - 1 = 3
The test statistic will be:
= ∑(O - E)²/E
= 6.92
The critical value is also given as 7.815 from the table. Since the test statistic is lesser than the critical value, we fail to reject the null hypothesis.
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a packaging designer wants to find how much fabric is needed to cover the jewelry box shown the box is 12cm shown 4 cm wide and 5m high find the surface area of the box
Step-by-step explanation:
I guess you mean it is
12 cm long, 4cm wide and 5 cm high.
and the fabric goes outside on the box ? strange, but ok.
a box (like a die) has 6 sides in the form of 3 pairs of equal rectangles :
top-bottom, left-right, front-back
the surface area is the sum of all 6 rectangles.
top-bottom :
2 × 12×4 = 2 × 48 = 96 cm²
left-right :
2 × 4×5 = 2 × 20 = 40 cm²
front-back :
2 × 12×5 = 2 × 60 = 120 cm²
in total
120 + 40 + 96 = 256 cm²
The figures are similar. Find x.
Pls help meee
HELP I TOTALLY FORGOT HOW TO DO THISS
Answer:
13
Step-by-step explanation:
First you would create a ratio.
Convert 3 1/4 gallons in a decimal -> 3.25 gallons
If 1 gallon = 4 quarts, then
[tex]\frac{3.25}{1} =\frac{x}{4}[/tex]
Now, solve for x via cross multiplying
[tex]x=13[/tex]
and sidenote ripp iready i feel your pain
PLEASE HELP!! 90 POINTS!!!
Dianelys owns a small business selling ice-cream. She knows that in the last week 14 customers paid cash, 121 customers used a debit card, and 3 customers used a credit card. If next week, she is expecting 1100 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.
Answer:
112 customers will pay cash next week
Step-by-step explanation:
1,100/138=7.97= approximately 8
Multiply the amount of customers who paid cash, 14 by 8.
Help!
Square pyramids A and B are similar. In pyramid A, each base edge is 20 cm. In pyramid B, each base edge is 5 cm and the volume is 25 cm.
a. Find the volume of pyramid A.
b. Find the ratio of the surface area of A to the surface area of B.
c. Find the surface area of each pyramid.
Answer:
Below in bold.
Step-by-step explanation:
a) The volumes will be in the ratio of the cubes of the edges.
So volume of A / volume B = 20^3 / 5^3
Volume A / 25 = 8000/125
Volume a = (25* 8000) / 125
= 8000/ 5
= 1600 cm^3.
b) ratio of the surface area of A to surface area of B
= 20^2 : 5^2
= 400:25
= 16:1.
c. The volume of pyramid B is 25 cm*3 so it' height is 25 / area of its base = 25/5^2
= 1 cm.
Now its slant height = √(1^2 + (2.5)^2)
= √7.25
= 2.6926 cm
So surface area = 25 + 4 * 1/2 * 5 * 2.6926
= 51.926
= 51.93 cm^2 to nearest hundredth.
and the surface area of pyramid B = 51.926 * 16
= 830.82 cm^2 to nearest hundredth.
A Premier League footballer is value £30 million and after a bad season his transfer value depreciates by 20%. His next season is a good one and his transfer value appreciates by 20%. how Find the value of the footballer after his good season.
How to work out Sir
Answer:
£28.8 Milllion
Step-by-step explanation:
£30,000,000 × 0.8 = £24,000,000 (Depreciates by 20%)
£24,000,000 × 1.2 = £28,800,000 (Appreciates by 20%)
6. Which is cheaper?
A) $12 for 800ml or
B) $14 for 1 L
Answer:
A
Step-by-step explanation:
Sheree purchased a digital camera for $367.99. She received a manufacturer’s $45 mail-in rebate and a $25 rebate from Jack’s Camera Store. What is the final price?
Answer:
297.99
Step-by-step explanation:
367.99-45-25=297.99
NEED HELP WILL GIVE BRAINLIEST!!! PLEASE ANSWER THE TWO QUESTIONS ABOVE!
Answer:
1. 9 6/12
2. 4 3/12
Step-by-step explanation:
I did the math on it.
Answer:
3. 9 (6/12)
4. 4 (3/12)
Step-by-step explanation:
Question 3:
6 (2/6) × 1 (1/2)
multiply the whole number by the denominator
6 x 6 = 36 + 2 (numerator) = 38/6
2 x 1 = 2 + 1 = 3/2
(38/6) x (3/2)
multiply (3/2) by 3
3 x 3 = 9
2 x 3 = 6
38/6 x 9/6
38 x 9 = 342
6 x 6 = 36
19/2 = 9 (1/2) or 9 (6/12)
Question 4:
5 (2/3) × (3/4)
15 + 2 = 17
17/3 x 3/4
17 x 4 = 68
3 x 4 = 12
3 x 3 = 9
4 x 3 = 12
(68/12) x (9/12)
68 x 9 = 612
12 x 12 = 144
612/144 = 4 (1/4) or 4 (3/12)
I hope this helps! I'm sorry if this is confusing.
RSM find all 2-digit natural numbers that have exactly 3 factors
Answer:
25 and 49
Step-by-step explanation:
25 = 1, 5, 25
49 = 1, 7, 49
Hope this helps!
The square of a non-zero number is equal to 70% of the original number. What
is the original number?
Answer:
0.7.
Step-by-step explanation:
x^2 = 0.7x
x^2 - 0.7x = 0
x(x - 0.7) = 0
x = 0, 0.7.
After solving the quadratic equation x² = 0.7x , we get that the original number is 0.7
What is a quadratic equation?
Quadratic equation is an equation which contains one unknown variable and the highest power of this unknown variable is 2. Let x be the unknown variable then the standard quadratic equation in x is given by
ax²+bx+c =0, where a, b, c are constants and a≠0
We can solve this equation by factorizing ax²+bx+c and putting those factors equal to zero to solve for x.
Let a non zero number be x, x≠0 and given that the square of a non zero number is equal to the 70% of the original number.
As 70 % of the original number = 70/100(x) = 0.7 x
⇒ x² = 0.7 x
⇒x²-0.7 x = 0
⇒ x(x -0.7)= 0
⇒ x =0 and x - 0.7 = 0
⇒ x = 0.7, as we have given that x is a non zero number
Therefore, the original number is 0.7
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how to I write a one solution function??
lf Jackie earns $312.00 after working 24 hours what is the hourly rate?
Answer:
312 divided by 24 = 13.
So the hourly rate is 13/hour
Answer:
$13.00. To find the hourly rate you need to divide the total amount Jackie earned by the amount of hours she worked in total. When you divide 312 by 24 you will get 13, therefore Jackie makes a total of $13.00 per hour.
Which of the following pairs of numbers are additive inverses of each other? (A) -0.5 and -0.5 (B)-0.5 and 2 (C) 0.5 and -0.5 (D) 0.5 and 2
Answer: A) -0.5 and -0.5
Step-by-step explanation:
If a circle has a circumference of 94.2cm, determine the area
I WILL GIVE YOU 5 STARS ON YOUR PROFILE COMMNET I WILL ALSO GIVE A THANK YOU ON YOUR ACC AND COMMENT!!!!
Answer:
The answer is C. 2.94
Step-by-step explanation:
All you have to do is take 588 and divide it by 200 which gives you the answer of 2.94.
Is it possible for a sixth degree polynomial function with integer coefficients to have no real zeroes? Choose all that apply: Yes No
Using the Factor Theorem, it is found that yes, it is possible for a sixth degree polynomial function with integer coefficients to have no real zeroes, as they can have three complex-conjugate pairs.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
If a complex number is a root of a function, it's conjugate will also be a root. Thus, with three pairs of complex-conjugate roots, for example, [tex]\pm i, \pm 2i, \pm 3i[/tex], a sixth degree function with no real zeros is formed, so the answer is Yes.
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please help me!!!!!!!
The distance between you and train 1 at time t is
20.6 km + (0.2 km/h) t
and the distance between you and train 2 at time t is
59.7 km - (2.1 km/h) t
The trains are an equal distance away from you when
20.6 km + (0.2 km/h) t = 59.7 km - (2.1 km/h) t
Solve for t :
(2.3 km/h) t = 39.1 km
t = 17 h
at which point they are
20.6 km + (0.2 km/h) (17 h) = 24 km
away from you.
Answer this for 20 points and brainliest
Answer:
D
Step-by-step explanation:
If you are solving for something like this, set the given full integer equal to x times the percent given
the following are ages in years of members in a group: 8,11,8,19,6,7,3x,11,11. If the mean age is 9, find x
Using factoring, what is the solution to the equation 2x2 + 3x – 5 = 0
pls help thanks!!!!!!
Answer:
he will have 29 nickles
Step-by-step explanation:
I just solved it on paper, hope it helps and if it's right
While on a business trip to Millersburg, Camilla treated her co-workers to a meal that cost $300. Camilla knew that when the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, how much did Camilla's meal cost?
When the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, Camilla's meal cost $369.
Given that,
Original Meal Cost: $300
Sales Tax: 8% of the original meal cost
Tip: 15% of the original meal cost
Total Cost: Sum of the original meal cost, sales tax, and tip
Original Meal Cost = $300
Sales Tax = 8% of $300 = 0.08 * $300 = $24
Tip = 15% of $300 = 0.15 * $300 = $45
Total Cost = Original Meal Cost + Sales Tax + Tip
Total Cost = $300 + $24 + $45 = $369
Including tax and tip, Camilla's meal cost $369.
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factorise fully 2ab2+ 8a2b
[tex]2 {ab}^{2} + {8a}^{2} b[/tex]
solution:[tex]2ab(b + 4a)[/tex]
to factorise first, find the highest common factor of each of the terms in the expression then, write the highest common factor (HCF) in front of any brackets atlast, fill in each term in the brackets by multiplying out.
The value of the expression after factorization will be;
⇒ 2ab (b + 4a)
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;
The expression is,
⇒ 2ab² + 8a²b
Now,
Factorize the expression as;
⇒ 2ab² + 8a²b
⇒ 2ab × b + 2×2×2a×a×b
⇒ 2ab (b + 4a)
Thus, The value of the expression after factorization will be;
⇒ 2ab (b + 4a)
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The table shows some ordered pairs that belong to quadratic function h.
What is the range of h?
Question 10 options:
All real numbers greater than or equal to -5
All real numbers greater than or equal to 0
All real numbers
All real numbers greater than or equal to -2
Answer: All real numbers greater than or equal to -5
Step-by-step explanation:
The vertex has a y coordinate of -5, and all the other outputs are more than -5.
Which of the following sets of 3 side lengths could form a unique triangle?
O side lengths: 18 feet, 9 feet, 6 feet
O side lengths: 12 feet, 9 feet, 4 feet
O side lengths: 6 feet, 3 feet, 2 feet
O side lengths: 24 feet, 14 feet, 4 feet
Answer:
side lengths: 12 feet, 9 feet, 4 feet
Step-by-step explanation:
Conditions for unique triangles with 3 sides:
The sum of the two shorter sides must be greater than the third side.9 + 6 = 15
As 15 < 18 this is NOT a unique triangle
9 + 4 = 13
As 13 > 12 this IS a unique triangle
3 + 2 = 5
As 5 < 6 this is NOT a unique triangle
14 + 4 = 18
As 18 < 24 this is NOT a unique triangle
George has 4 sets of socks, and 4 sets of shoes. Each pair has a different color: White, Brown, Black, and Blue. If George selects a pair of socks (same color) and a pair of shoes (same color) at random, what is the theoretical probability that George will choose a white pair of shoes and a pair of socks that are not white
Using it's concept, it is found that there is a [tex]\frac{3}{16}[/tex] probability that George will choose a white pair of shoes and a pair of socks that are not white.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
One out of four pairs of shoes are white.Three out of four pairs of socks are not white.Since the events are independent:
[tex]p = \frac{1}{4} \times \frac{3}{4} = \frac{3}{16}[/tex]
[tex]\frac{3}{16}[/tex] probability that George will choose a white pair of shoes and a pair of socks that are not white.
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HELP PLEASE I WILL GIVE 10 POINTS