Answer:
6 workers
Step-by-step explanation:
Number workers to earnings is direct proportion.
8: 2400 :: x : 1800
Product of means = Product of extremes
2400 * x = 8*1800
[tex]x = \frac{8*1800}{2400}\\\\x=6[/tex]
Answer:
6 workers will earn Rs. 1800.
Step-by-step explanation:
Given :-
Daily income of 8 workers is Rs. 2400.To find :-
How many workers will earn Rs.1800.Solution :-
Let
no. of workers will earn Rs. 1800 = x.
We need to write a ratio to solve.
8 = 2400x = 1800using cross products
8 × 1800 = x × 240014400 = 2400xDivide each side by 2400
14400/2400 = 2400x/24006 = xHence, 6 workers will earn Rs. 1800.
20 Points!!!
A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What function estimates the height, H, in cm of the ping pong ball after x bounces?
Enter a number in each empty box to correctly complete the function.
H = ____ (____)^x
Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)
H = (60)(3/4)^x
The answer to the given expression is:
H = 60(3/4)^x
What do we mean by exponents?A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.
How do we solve for H?After every release, it bounces 3/4th of the previously released height.
After 1st bounce H = 60(3/4)
After 2nd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)(3/4) = 60(3/4)^2
Similarly, after the 3rd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3
So it goes on like this. After x bounces,
H = 60(3/4)^x
Learn more about the Exponents at
https://brainly.com/question/11464095
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Please help me that is the volume???
Let us first find the hieght of the triangle:
= 16² = p² + 8²
= 256 = p² + 64
= 256 - 64 = p²
= √192 = p
= 13.85 = p
Area of equilateral trianglular prism:
= ⅓× l² × h
Here, l = length of side and h is height= ⅓ × 16² × 13.85
= 256 × 13.85 × ⅓
= 1181.86 cm³
= 1182 cm³ (approx)
find the surface area. 3in. 2in. 6in. 2in. 4in.
Answer:
I think it's 4in is my answer
Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]\displaystyle y-5=-\frac{10}{9}(x+6)[/tex]
Or:
[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]
Step-by-step explanation:
We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.
Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Thus, first, we need to find the slope. We can use the slope formula:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}[/tex]
Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (x₁, y₁). Substitute:
[tex]\displaystyle y-(5)=-\frac{10}{9}(x-(-6))[/tex]
Or, fully simplified:
[tex]\displaystyle y-5=\frac{-10}{9}(x+6)[/tex]
Using the other point, we will acquire:
[tex]\displaystyle y-(-5)=-\frac{10}{9}(x-(3))[/tex]
Or, simplified:
[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]
Solve the following question. *
Answer:
The mean of x and y is equal to t.
Step-by-step explanation:
Given that,
The mean of t and t+2 is x.
The mean of t and t-2 is y.
i.e.
[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]
and
[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]
The mean of x and y is :
[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]
Hence, the mean of x and y is equal to t.
All i need is the answer and any other information, i will rate give thanks, and maybe a brainliest. Help quickly!!!
Answer:
4 and 3/4
Step-by-step explanation:
Multiplying 3/4 times 5 days will give you 3.75 hours (or 3 and 3/4ths)
1/2 times 2 days will give you one hour
adding these together will give you 4.75 or 4 and 3/4ths
Answer:
C
Step-by-step explanation:
3/4 * 5 + 1/2 * 2 = 15/4 + 1 = (15+4)/4 = 19/4 = 4.75 = 4 3/4
Hannah has a part-time job making holiday wreaths. This week, she made x medium wreaths, twice as many large wreaths as medium wreaths, and 12 as many small wreaths as medium wreaths. In terms of x, how many wreaths did Hannah make this week?
Answer:
Total number of wreaths = 3.5 wreaths
Step-by-step explanation:
Given:
Number of medium wreaths = x
Number of larger wreaths = 2[Number of medium wreaths]
Number of small wreaths = [1/2][Number of medium wreaths]
Find:
Total number of wreaths
Computation:
Total number of wreaths = Number of medium wreaths + Number of large wreaths + Number of small wreaths
Total number of wreaths = Number of medium wreaths + 2[Number of medium wreaths] + [1/2][Number of medium wreaths]
Total number of wreaths = x + 2x + 0.5x
Total number of wreaths = 3.5 wreaths
Luis is building a new deck and needs to have a slab in of concrete poured.he knows the contractor charges an initial coast of $75 plus an additional $2.50 per square foot of concrete.which equation can be used to determine the coast (y),in dollars,to pour a concrete slab with an area of x square feet.
Answer:
[tex]y = 2.5x + 75[/tex]
Step-by-step explanation:
A trapezoid has 39.2 yards base and 10.8 yards base, as well as 38.5 yards height. What is the area?
Answer:
962.5 yd²
Step-by-step explanation:
The formula for a trapezoid is:
(a + b) ÷ 2 x h
Where a & b are the two side lengths and h is height.
Use the formula with the given measurements:
(39.2 + 10.8) ÷ 2 x 38.5 = 962.5
Area is measured in square yards, in this case.
FINAL ANSWER:
The area of the trapezoid is 962.5 yd²
Hope this helps!
-SpaceMarsh
What is the y-intercept for y = 5x^2 + 2x -2?
Answer: (0, -2) or -2
Step-by-step explanation:
Sub in 0 for x since at the y intercept x is 0
[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]
Find the equation of a line perpendicular to 2x-y+6=0 through the point (0, -2)
Step-by-step explanation:
Let's first rearrange so it's easier to look at: y = 2x +6
To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:
m= -1/2
Next plug in the point (0, -2) into the point-slope equation of a line:
[tex]y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\ [/tex]
y-(-2) = -1/2 (x-0)
y + 2 = -1/2x
y = -1/2x - 2
Therefore the equation is y = -1/2x - 2
Simplify (2 − + 1) + 5 and find its value for a = -2.
Answer:
Part A
a·(a² - a + 1) + 5·a = a³ - a² + 6·a
Part B
The value of a·(a² - a + 1) + 5·a, for a = -2 is -24
Step-by-step explanation:
Part A
The given function is a·(a² - a + 1) + 5·a
The function is simplified by expanding the product of sums into sums of products, as follows;
a·(a² - a + 1) + 5·a = a × a² - a × a + a × 1 + 5·a = a³ - a² + a + 5·a = a³ - a² + 6·a
The function, a·(a² - a + 1) + 5·a, in simplified format is therefore;
a·(a² - a + 1) + 5·a = a³ - a² + 6·a
Part B
When a = -2, we get;
(a³ - a² + 6·a)[tex]_{a = 2}[/tex] = (-2)³ - (-2)² + 6·(-2) = -8 - 4 - 12 = -24
Y=-4+b
I need a answer fast and thank you
If we solve for Y then answer is..
Y=b-4
If we solve for B then answer is..
b=Y+4
Can anyone help me out?
Answer:
55° because 2and 6 are corresponding angles (they are equal)
6 and 8 are vertically opposite angles (they are equal)
Step-by-step explanation:
hope this is helpful
if x and 5x are supplementary angles, find them
Answer:345678098321
Step-by-step explanation: I think so lol
Answer:
x+5x=180( adj.suppl.ls)
6x=180
6x÷6=180÷6
x=30
What expression is equal to COS B????
Answer:
A/C
Step-by-step explanation:
Since the sum of the angles in a triangle equals 180°, and angle C is 90°.
That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.
We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.
Your welcome! :)
is How many oranges did
Sally eat last month? a statistical question
Answer:
25
Step-by-step explanation:
Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.
The basketball team did not record how many baskets each player made during the last game. Zulie remembers that she made three
times as many baskets as Aileen. Melody knows that she made four more baskets than Aileen. Zoe thinks that she made 3 fewer baskets than Aileen.
Abigail is sure that she made the same number of baskets as Zoe. Altogether the five players made 82 baskets. How many baskets did each player
make?
Answer:
There is a mistake in the question. x results in a decimal answer, which is not possible for number of hoops.
Step-by-step explanation:
Aileen: x
Zulie: 3x
Melody: 4 + x
Zoe: x - 3
Abigail: x - 3
82 = (x) + (3x) + (4+x) + (x-3) + (x-3)
Combine Like Terms
x + 3x + x + x + x = 7x
4 - 3 - 3 = -2
7x - 2 = 82
7x = 80
x results in a decimal answer, which is not possible for number of hoops.
Drag the tiles to the correct boxes to complete the pair.
Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x)= f(x)/g(x).
f(x) = x2 - 9, and g(x) = x - 3
f(x) = x2 - 4x + 3, and g(x)= x - 3
f(x) = x2 + 4x - 5, and g(x) = x - 1
f(x) = x2 - 16, and g(x) = x - 4
1.h(x) = x + 5—>
2.h(x) = x + 3—>
3.h(x) = x+4—>
4.h(x) = x-1—>
Answer:
1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1
2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3
3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4
4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3
Step-by-step explanation:
A) f(x) = x² - 9, and g(x) = x - 3
We are told that; h(x) = f(x)/g(x)
f(x) = x² - 9 can be factorized to;
f(x) = (x + 3)(x - 3)
Thus; h(x) = (x + 3)(x - 3)/(x - 3)
(x - 3) will cancel out to give;
h(x) = x + 3
B) f(x) = x² - 4x + 3, and g(x)= x - 3
x² - 4x + 3 can be factorized as;
(x - 1)(x - 3)
Thus; f(x) = (x - 1)(x - 3)
h(x) = (x - 1)(x - 3)/(x - 3)
h(x) = x - 1
C) f(x) = x² + 4x - 5, and g(x) = x - 1
x² + 4x - 5 can be factorized as;
(x - 1)(x + 5)
Thus; f(x) = (x - 1)(x + 5)
h(x) = (x - 1)(x + 5)/(x - 1)
h(x) = x + 5
D) f(x) = x² - 16, and g(x) = x - 4
x² - 16 can be expressed as;
(x + 4)(x - 4)
Thus; f(x) = (x + 4)(x - 4)
h(x) = (x + 4)(x - 4)/(x - 4)
h(x) = x + 4
On a math exam, Joel had a score of 90, which was exactly 2 standard deviations above the mean. The standard deviation for the test is 3.
Answer:
84
Step-by-step explanation:
Score = 90
Standard deviation = 3
Score = mean + 2(standard deviation)
90 = mean + 2(3)
90 = mean + 6
Mean = 90 - 6
Mean = 84
Unit 1 Review
tatus
view
A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.
Answer:
403
Step-by-step explanation:
divide 2.75 and 1,1109 and you will get your answer
I will give BRAINLIEST to the correct answer
Find the measure of angle 3
Answer:
2X+100 =8X+208
8X-2X=100-208
6X=-108
X=-18
8X+208=(8×-18)+208
=-144+208
=64
ANGLE 3=180-64
=116
Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking
Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees
Brian says that ABCD is a right triangle. Is he correct? (Round your answer to the nearest whole number) Explain.
17 m
21.7 m
С
D 13.5 m
21.7²=17²+13.5²
21.7²=289+182.25
21.7²=471.25
21.7=√471.25
21.7=21.7
22(to the nearest whole number)
Answer: Yes, it is a right triangle
But only if you rounded everything to the nearest whole number.
Otherwise, it's a bit off (but fairly close).
==========================================================
Explanation:
If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.
We have
a = 13.5b = 17c = 21.7Which leads to
a^2+b^2 = c^2
(13.5)^2+(17)^2 = (21.7)^2
182.25 + 289 = 470.89
471.25 = 470.89
We don't get the same thing on both sides, so we don't have a right triangle.
However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.
So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.
In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.
A rectangle has an area of 117 cm^2 and width of 9 cm. Find its lenght
Answer:
13cm
Step-by-step explanation:
if the area is 117 then to find out the missing length, you divide 117 by 9 which gets you 13.
to check its correct, 13 x 9 = 117cm^2
Josh is trying to factor the expression
- 20a - 8 + 12b. He writes
-4 (5a + 2 + 3b)
a. What error did Josh likely make?
b. Factor the expression correctly.
Answer:
a) Josh likely made the negative and positive multiplication error.
b) -20a-8+12b
= -4(5a+2-3b)
Step-by-step explanation:
To check if you are correct, you can always simplify it again:
-4(5a+2-3b)
=-20a-8+12b
Remember:
Negative times negative equals to positive, negative times positive equals to negative!
I hope this is helpful! :)
solve by factoring
please help this is timed :(
Answer: X1= 4, X2= 7
Step-by-step explanation:
Kara and Karl love steak, fried chicken, hamburgers, mashed potatoes, and french fries. They like green beans and peas. How many different meals including a meat, potatoes and a green vegetable can they make from these choices? 8 meals 16 meals a. C. b. 12 meals d. 24 meals
Answer:
steak, chicken, and hamburger are meats. 3 meats.
The French fries and mashed potatoes are potatoes. 2 Potatoes.
And Green beans and peas are green vegetables. 2 Vegetables.
I think we just do 3 x 2 x 2 = 12 Meals.
hope that helps bby<3
In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blue?
Answer:
5/8
Step-by-step explanation:
SUM OF RATIOS = 5 + 3 = 8
fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8
Simplify the expression ( a^3/2)^3
Answer:
(a^9/8)
Step-by-step explanation:
(a/b)^n = (a^n/b^n)
Six kids and two adults are going to the circus. Kid's tickets are on sale for only half the price of adult tickets. The total cost is $48. How much is one kids ticket? -how much is one adult ticket
Answer:
One kids ticket is $4.80 and one adult ticket is $9.60
Step-by-step explanation:
Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:
6k + 2a = 48
k = 1/2a
Solve by substitution by substituting the second equation into the first one:
6k + 2a = 48
6(1/2a) + 2a = 48
Simplify and solve for a:
3a + 2a = 48
5a = 48
a = 9.6
Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.
9.6/2
= 4.8
One kids ticket is $4.80 and one adult ticket is $9.60