Answer:
I think it is 60
Step-by-step explanation:
because if you multiply 12 and 5 you get 60
Answer:
A.60
Step-by-step explanation:
12 multiplied by 5 will give you 60. since there are 12 in each layer and 5 layers in total this looks like you would multiply.
if supplementary angles add to 180, complementary angles add to 90, and angles A and B are complementary. Angle A measures 40 degrees, what is the measure of angle B
Answer:
∠ B = 50°
Step-by-step explanation:
complementary angles add to 90° , then
∠ A + ∠ B = 90° , that is
40° + ∠ B = 90° ( subtract 40° from both sides )
∠ B = 50°
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
f(x)=x^5+(x+3)^2 which value completed the table
Answer:
three boys shared D 10,500.00 in the ratio 6:7:8.find the largest share.
The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
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11. Solve for x: 2x^2 - 18 = 0
please help show work
Answer:
x = 3^2
Step-by-step explanation:
2x^2 = 18
x^2 = 18 / 2
x^2 = 9
x = √9
= 3
simplify 7/3+3(2/3-1/3)^2
Answer:
8/3
Step-by-step explanation:
7/3 +3(2/3 - 1/3)^2
7/3 + 3(1/9)
7/3 + 1/3
= 8/3
The following is an excerpt from a soccer magazine. Read and answer the question The ball should weigh between 410–450 g (14–16 oz), with a circumference of 68–70 cm (27–28 in). The ball's weight must be in the range of 410 to 450 g (14 to 16 oz) and inflated to a pressure of 0.6 and 1.1 bars (8.7 and 16.0 psi) at sea level. Create a compound inequality for the weight using min and max weight values, leave units out, just the numerical answer.
Answer:
A) 410 ≤ x ≤ 450 AND 68 ≤ y ≤ 70
B) 410 ≤ x ≤ 450 AND 0.6 ≤ x ≤ 1.1
Step-by-step explanation:
In the first statement we are told that the ball should weigh between 410–450 g (14–16 oz), with a circumference of 68–70 cm (27–28 in).
If the weight is x, it means we have the inequality as;
410 ≤ x ≤ 450
If the circumference is denoted as y, we have;
68 ≤ y ≤ 70
Compound inequality is when we join two inequalities with the word "OR" or the word "AND.
Thus, the compound inequality is;
410 ≤ x ≤ 450 AND 68 ≤ y ≤ 70
Similar to he first statement, in the second statement, we have;
410 ≤ x ≤ 450
If the inflated pressure is denoted by z, then we have;
0.6 ≤ x ≤ 1.1
Like in the first statement, the compound inequality can be represented as;
410 ≤ x ≤ 450 AND 0.6 ≤ x ≤ 1.1
What is the y-intercept of the graph of the equation ?
A. (0, 3)
B. (0, 8)
C. (0, 2)
D. (0, 6)
How many meters are in 214 cm
One month Jenny rented 6 movies and 2 video games for a total of $30. The next month she rented 3 movies and 5 video games for a total of $36. Find the rental cost for each movie and each video game.
Answer: The rental cost for each movie is $3.25 and each video game is $5.25.
Step-by-step explanation:
Let x = rental cost for each movie
y = rental cost for each video game.
As per given , we have
6x+2y= 30 (i)
3x+5y = 36 (ii)
Multiply 2 on both sides of (ii)
6x+10y=72 (iii)
Eliminate (i) from (iii)
8y=42
⇒ y= 5.25
Put y=5.25 in (ii)
3x+5(5.25)=36
⇒ 3x+26.25 =36
⇒ 3x = 36-26.25
⇒ 3x =9.75
⇒ x = 3.25 [Divide both sides by 3]
Hence, the rental cost for each movie is $3.25 and each video game is $5.25.
Answer:
2.25 movie
5.25 video game
Step-by-step explanation:
:)
Solve for angles x and y in the triangle below. Round your angle to the nearest whole degree.
Solve for both x and y
\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)
Make sure your calculator is in Degree mode.
8x + 4y = -104
4x + y = -24
Step-by-step explanation:
there are different ways you could do it using the elimination and substitution method.
hope this helps you!
-s.
Answer:
x = 1 and y = -28
(1,-28)
:- SolutionElimination & Substitution method
8x + 4y = -104 →multiply by 1
4x + y = - 24 →multiply by 4
8x + 4y = -104
16x + 4y = -96
____________-
-8x = -8
x = -8/-8
\( \boxed{x = 1}\)
Substitute x
4x + y = -24
4(1) + y = -24
4 + y = -24
y = -24 - 4
\( \boxed{y = - 28}\)
Mrs. Gallas was an all-star basketball player in high school. To prove that she still has skills,she took 50 free throws and made 31 of them. Think of these 50 shots as being a random sampleof all the free throws she has ever taken. Find a 99% confidence interval for the true proportion offree throws Mrs. Gallas would make
Number of throws = 50
Success throws = 31
Then 99% confidence interval ,
find for success throws
Probability P is =31/50 = 0.62
Now find mean M = 31
then interval would be
99% of 31 = 30.69
99% of 50 = 49.5
Then , between 49 throws and 51 throws , there will be 31 basket points
Interval is <49, 51>
Solve the equation 3x +10=40.
x=
Answer:
x = 10
Step-by-step explanation:
3x + 10 = 40
which X in this case means 10. Hope this helps!
solve each equation by finding square roots. If the equation has no real number solution, write no solution. 64b^2=16
As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.535. If 14 households are selected at random, without replacement, from all US households, what is the (approximate) probability that the number having at least one VCR is no more than 8 but at least 6.00. Be sure to use many decimal places in your calculations (at least 4), but report your answer to three decimal places.
Using the binomial distribution, it is found that there is a 0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.
For each household, there are only two possible outcomes. Either it has at least one VCR, or it does not. The probability of a household having at least one VCR is independent of any other household, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
14 households, hence \(n = 14\).0.535 probability of having at least one VCR, hence \(p = 0.535\).The probability of at least 6 and no more than 8 is:
\(P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8)\)
In which:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 6) = C_{14,6}.(0.535)^{6}.(0.465)^{8} = 0.1539\)
\(P(X = 7) = C_{14,7}.(0.535)^{7}.(0.465)^{7} = 0.2024\)
\(P(X = 8) = C_{14,8}.(0.535)^{8}.(0.465)^{6} = 0.2038\)
Then:
\(P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8) = 0.1539 + 0.2024 + 0.2038 = 0.5601\)
0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.
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An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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-1/4 plus 3/5
Answer or else
The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.
To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.
The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:
-1/4 = -5/20
3/5 = 12/20
Now that the fractions have the same denominator, we can add them:
-5/20 + 12/20 = (-5 + 12)/20 = 7/20
Therefore, -1/4 + 3/5 is equal to 7/20.
To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.
Thus, the final answer is 7/20.
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The perimeter of the rectangle below is 76 units. Find the value of y.
The solution is : the value of y is 7.
Here, we have,
The perimeter of a rectangle is found by
P = 2 (l+w)
P = 2( 3y+3+2y)
Combine like terms
P = 2(5y+3)
We know the perimeter is 76
76 = 2(5y+3)
Divide each side by 2
76/2 = 2/2(5y+3)
38 = 5y+3
Subtract 3 from each side
38-3 = 5y+3-3
35 = 5y
Divide each side by 5
35/5 = 5y/5
7 =y
We want the length of AD = BC = 2y
AD = 2y=2*y = 14
Hence, The solution is : the value of y is 7.
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a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answer:
7feet I hope this help you.
The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?
Answer:
25 and 18
Step-by-step explanation:
Let's say that the first number is x and the second one is y.
First, the difference between them is 7, so x-y=7
Next, the sum of their squares is 949, so x²+y² = 949
We have
x-y=7
x²+y²=949
One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there
Adding y to both sides in the first equation, we have
x = 7 + y
Plugging that into the second equation for x, we have
(7+y)²+ y² = 949
expand
(7+y)(7+y) + y² = 949
49 + y² + 7y + 7y + y² = 949
combine like terms
2y² +14y + 49 = 949
subtract 949 from both sides to put this in the form of a quadratic equation
2y² + 14y - 900 = 0
divide both sides by 2
y² + 7y - 450 = 0
To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.
The factors of 450 are as follows:
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.
Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have
y² + 25y - 18y - 450 = 0
y(y+25) - 18(y+25) = 0
(y-18)(y+25) = 0
Solving for 0,
y-18 = 0
add 18 to both sides
y=18
y+25 = 0
subtract 25 from both sides
y= -25
As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so
x-18 = 7
add 18 to both sides to isolate x
x = 25
Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
Monica has saved 32% of the money she needs in order to purchase her brother, Ross, a birthday gift. If she needs to
save 44 dollars, how much has she saved so far?
Answer:
If Monica needs to save 44 dollars, and she has saved 32% of that amount, then she has saved 44 * 0.32 = <<44*0.32=14.08>>14.08 dollars so far.
A ABC has a right angle at C, BC = 7.7 centimeters, and m/A = 41°.
What is CA?
Enter your answer rounded to the nearest tenth in the box.
cm
Answer:
CA = 8.9===================
Since ΔABC is right triangle and C is right angle, the other two angles are complementary:
m∠A + m∠B = 90°41° + m∠B = 90°m∠B = 49°Use the law of sines to find the missing side:
sin A / BC = sin B / CAsin 41° / 7.7 = sin 49° / CACA = 7.7 * sin 49° / sin 41° CA = 8.9 roundedAnswer: CA is 8.9
Step-by-step explanation: I took the test
I need help asap thank you
Answer: 9.22
Step-by-step explanation:
distance in x direction: ║-4║ + 2 = 6
distance in y direction: 5 + ║-2║ = 7
Use pythagorean theorem to find hypotenuse of triangle with legs of 6 and 7:
\(d^{2} = 6^{2} + 7^{2} = 85\\d = \sqrt{85} = 9.2195 = 9.22\)
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
Find the perimeter of the rectangle
Answer:
22 in.
Step-by-step explanation:
Perimeter = Length + Length + Breadth + Breadth
Perimeter = 7 in. + 7 in. + 4 in. + 4 in.
Perimeter = 22 in.
how many points need to be removed from this graph so that it will be a function?
1 point
2 point
3 points
0 points
The number of points to be removed from the graph is 2
How many points to be removed from the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
From the graph, we can see that
2 points have the same y coordinates
Another 2 points have the same y coordinates
For it to be a function, one of the 2 points must be removed each
So, we have the number of points to be removed from the graph is 2
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Factorise 3x^2+11x-20
Answer:
( 3 x − 4 ) ( x + 5 )
Step-by-step explanation:
Answer:
(3x+4) (x-5)
Reverse Check It If You Have Doubts
Charlie is a car salesman he earns $800 plus a 9% commission on all of her sales for the week if charlie receive the payment for $1960 this week how much where is total sales.