Answer:
7/51
Step-by-step explanation:
Assuming that the marbles are drawn without replacement, the probability of the first marble being drawn is 7/(7+8+3) which is 7/18.
The probability of the second marble being red is 6/17, as there are 6 red marbles left and 17 marbles in the bag.
We then multiply 7/18 and 6/17, getting 7/51.
4p+6-3 combine like terms to get equivalent expressions
Answer:
4p+3
Step-by-step explanation:
4p+6+-3
[4p]+[6+-3]
4p+3
If 3x2 - 7y + 6 is subtracted from 4x2 - 3y + 4, the result is
Answer:
X^2 +4y-2
Step-by-step explanation:
Substraction gives the difference between two points or two positions.
We were told to substraction 4x2 - 3y + 4, from (3x2 - 7y + 6)
Then we can say
(4x2 - 3y + 4) -(3x2 - 7y + 6)
If we open the bracket we have
4x2 - 3y + 4 - 3x2 + 7y - 6
Then if we collect like terms we have
4x2 - 3x2 -3y +7y +4 -6
Then we have
X^2 +4y-2
Hence the substraction between 4x2 - 3y + 4, and (3x2 - 7y + 6)
gives us X^2 +4y-2
What statements are true regarding the given statement and diagram? ∠CED is a right angle. ∠CEA is a right angle. m∠CEA = One-half(m∠CEB) m∠CEB = m∠BEA m∠DEB = 135° m∠AEB = 35°
Answer:
A, B, D, and E
Step-by-step explanation: Hope it helps ^w^
Step-by-step explanation: I hope this helps.
Answer:
What is the percentage of change from 50 to 17
Answer:
66%
Step-by-step explanation:
50 - 17 = 33, so that is the difference between the two numbers. Percent change is the change over the original, so 33/50. 33/50 equals 66/100, so the percent change is 66%
evaluate 3^2+(8-2)x4-6/3
Answer:
31
Step-by-step explanation:
=3^2+(8-2)x4-6/3
=9+6 x 4 - 2
=9+24-2
=31
Answer:
31
Step-by-step explanation:
9+6*4-6/3
9+6*4-2
9+24-2
31
what is the polynomial -x^(2)-(1)/(2)+x
Answer:
trinomial
Step-by-step explanation:
-x² - 1/2 + x
if you are asking for the specific name, it is a trinomial because there are 3 terms.
What is 11/12 divided by 1/3?
Answer:
11
----
4
Step-by-step explanation:
11 1
--- ÷ ----
12 3
just flip the 1/3 = 3/1 then multiply.
11 3 33
--- x ---- = ----- just simplify if needed
12 1 12
11
therefore -----
4
What is the equation of a vertical line passing through the point (-4, 7)?
Answer:
x=-4
Step-by-step explanation:
Since we know that the equation will be x= we will just have to take the x value of the coordinate point and that would be the x so in this case the x is -4 so the equation would be x=-4
The Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce. The mark-up rate is 75% of the cost to produce. What is the retail price?
Answer:
$490 is the retail price
Step-by-step explanation:
75% = [tex]\frac{3}{4}[/tex]
[tex]\frac{280}{4} = 70[/tex]
[tex]70(3)=210[/tex]
[tex]280+210=490[/tex]
The retail price will be; 490 dollar.
What is Markup and Markdown?Markup is the amount that will be increased in the original price of the considered thing.
Markdown is the amount that will be decreased from the original price of the considered thing.
Think of "up" and "down" as increasing and decreasing prices respectively.
We are given that Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce.
The mark-up rate = 75% of the cost to produce.
Retail price = cost price + 75 % of cost price
Therefore,
Retail price = 280 + 75 % of 280
Retail price = 280 + 0.75 x 280
Retail price = 280 + 210
Retail price = 490
Thus, retail price is $ 490
Learn more about markup and markdown here:
https://brainly.com/question/27215448
#SPJ6
84 POINTS!!!!!!!! The hands on a clock represents rays. At 6:00, they forn opposite rays. What undefined term do the hands of the clock represents at 6:00?
A. Point
B.Line
C. Plane
D. Space
Answer:
Line of course! So its B
5. Say the following are deductions on a typical income, i. Pension deductions are 5% ii. Emploment Insurance deductions are 2.4% iii. And Income Tax deductions are as follows 1. For annual salaries, on the first $11,000, no income tax is paid, 2. On the first $11,000 to $25,000, 8% of the income is deducted, 3. On the first $25,000 to $50,000, 12% of the income is deducted, 4. On the first $50,000 to $100,000, 15% of the income is deducted, 5. And on the rest of the income, 20% of that income is deducted. Henry makes an annual gross salary of $70,000, what is his net salary?
Answer:
$57,700
Step-by-step explanation:
The deductions are ...
for pension and employment insurance, (5+2.4)% of $70,000
= 0.074 × $70,000 = $5,180
for income tax, ...
8% of the 14,000 between $11,000 and $25,000 = $1,120
12% of the 25,000 between $25,000 and $50,000 = $3,000
15% of the 20,000 between $50,000 and $70,000 = $3,000
Then the total of deductions is ...
$5,180 +1,120 +3,000 +3,000 = $12,300
Net salary after these deductions is ...
$70,000 -12,300 = $57,700
A professor wants to divide the remaining 3 4 of the semester evenly into six different units. A. What fraction of the semester should be spent on each unit? B. The professor drops one unit. What fraction of the semester should be spent on each unit?
Answer:
A. 1/8 of the semester
B. 3/20 of the semester
Step-by-step explanation:
A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units. A. What fraction of the semester should be spent on each unit?
B. The professor drops one unit. What fraction of the semester should be spent on each unit?
Solution
A.
A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units
Total semester=3/4
Total units=6 units
Fraction of the semester that will be spent on each units = 3/4 ÷ 6
=3/4 × 1/6
=3/24
=1/8
1/8 of the semester will be spent on each units
B. If the professor drops one unit
That is 6 units - 1 unit = 5 units
Fraction of the semester that will be spent on each units=3/4 ÷ 5
=3/4 × 1/5
=3/20
Is 22+ 32 = 42 a true statement? Explain.
If g(x) = 4x^2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be?
Answer:
D. h(x) = 4(x - 5)² - 18
Step-by-step explanation:
What is the volume of a certain cube? (1) The sum of the lengths of the edges of the cube is 36. (2) The surface area of the cube is 54.
Answer:
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
Step-by-step explanation:
All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.
To show how,
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
HELP ME I GIVE UP PLEASE HELP ASAP
Work Shown:
T = C(3 + AB)
T = 3C + ABC .... distribute
3C + ABC = T
ABC = T - 3C ... subtract 3C from both sides
(AC)*B = T - 3C
B = (T - 3C)/(AC) .... divide both sides by AC
Answer:
T-AB-3=0
Step-by-step explanation:
Jake's morning run was a distance of 9.3 miles. He ran back and forth on one long straight street. He started at his house and ran to the school 4 miles away. Then he ran to the library, and then he ran back to his house. What are possible distances the library could be from the house?
Answer: the distances can be 0.65 miles (in the opposite direction to the school) or 4.65 miles (in the same direction as the school)
Step-by-step explanation:
Ok, the data that we have is:
Total distance = 9.3 mi.
The travel is:
House to school = 4 mi.
school to library = A
library to house = B
Now, we have that:
4mi + A + B = 9.3mi.
We have three possibilities:
1) The order of locations is: house, library, school
The travel from: school to library + library to house is equivalent to a travel between the school to the house = 4mi.
Then we have A + B = 4mi
4mi + A + B = 8mi ≠ 9.3mi
Then the library can not be between the house and the school.
2) The order of locations is: house, school, library.
In this case we have that the distance between the library and the house is equal to the distance between the house and the school plus the distance between the school and the library, then:
4mi + A = B.
We can replace this in our original equation:
4mi + A + B = 9.3mi
4mi + A + (4mi + A) = 9.3mi
8mi + 2*A = 9.3mi
2*A = 9.3mi - 8mi = 1.3mi
A = 1.3mi/2 = 0.65mi
Then the distance between the house and the library is:
The 4 miles between the house and the school, plus the 0.65 miles between the school and the library:
Distance = 4mi + 0.65mi. = 4,65mi
3) The third case is when the order of the locations is:
Library, house, school.
Then the distance between the house and the library is equal to the distance between the school and the library minus the distance between the house and the school, this is:
A - 4mi = B
Now we can replace this in our distance equation:
4mi + A + B = 9.3mi
4mi + A + (A - 4mi) = 9.3 mi
2A = 9.3mi
A = 9.3mi/2 = 4.65mi
Then the distance between the house and the library is:
B = A - 4mi = 4.65mi - A = 0.65mi
Then the distance between the house and the library is 0.65 miles in this case.
Find the x-intercepts of the parabola.
g(x)=−x2−6x−5
Answer: The x intercepts are -1 and -5 or (-1,0) and ( -5,0)
Step-by-step explanation:
Finding the x intercepts of a parabola is the same as finding the roots of a parabola because the x intercept is when y or g(x) is equal to zero. So set the equation equal zero.
[tex]-x^{2} -6x -5 = 0[/tex] First divide each term by 0 to get the largest degree coefficient to equal 0.
x^2 + 6x +5 = 0 Now find two numbers that their product is 5 and their sum is 6. The numbers 5 and 1 works out because the 5 times 1 is 5 and 5 plus 1 is 6.
Rewrite the whole equation as
x^2 + 1x+5x +5 = 0 Now factor the left side by grouping
x(x+1) 5(x+1) = 0 Factor out x+1
(x+1) (x+5) = 0 Now use the zero product by setting each of them equal zero.
x+ 1 = 0 or x+5 = 0
-1 -1 -5 -5
x = -1 or x = -5
PLEASE HELP 1kx + 13kx = 6 Solve for x.
Answer:
[tex]\bold{x=\dfrac3{7k}}[/tex]
Step-by-step explanation:
1kx + 13kx = 6
14kx = 6
÷(14k) ÷(14k)
x = 6/(14k)
x = 3/(7k)
X-2
X + 2
3x + 3
4x + 12
3x + 12
X+4
x+1
Which of the
following
represents
the sum of
three
consecutive
integers?
o
o
Which of the
following
represents
the average
of three
consecutive
integers?
o
О
Answer:
1)3x+3
2)x+1
Step-by-step explanation:
1)consecutive integer = x and x+1 and x+2
x+x+1+x+2= 3x+3
2)average= total sum/number of numbers involved.
average = 3x+3
3
= x+1
the product of two rational numbers is - 16/9. If one of them is - 4/3 find the other
Answer:
The other number is 4/3
Step-by-step explanation:
Let the unknown number be x
Translate the equation :
[tex] - \frac{4}{3} \times x = - \frac{16}{9} \\ - \frac{4}{3} x = - \frac{16}{9} \\ [/tex]
Cross multiply
[tex] - 4x \times 9 = 3 \times - 16 \\ - 36x = - 48[/tex]
Divide both sides by -36
[tex] \frac{ - 36x}{ - 36} = \frac{ - 48}{ - 36x} \\ x = \frac{4}{3} [/tex]
Directions: Find the distance between each pair of points
(-4, 6) and (3.-7)
Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50, a=26 D. m∠A=43, m∠B=55, a=20
Answer:
D. m∠A=43, m∠B=55, a=20
Step-by-step explanation:
Given:
∆ABC,
m<C = 82°
AB = c = 29
AC = b = 24
Required:
m<A, m<C, and a (BC)
SOLUTION:
Find m<B using the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
[tex] \frac{sin(B)}{24} = \frac{sin(82)}{29} [/tex]
[tex] sin(B)*29 = sin(82)*24 [/tex]
[tex] \frac{sin(B)*29}{29} = \frac{sin(82)*24}{29} [/tex]
[tex] sin(B) = \frac{sin(82)*24}{29} [/tex]
[tex] sin(B) = 0.8195 [/tex]
[tex] B = sin^{-1}(0.8195) [/tex]
[tex] B = 55.0 [/tex]
m<B = 55°
Find m<A:
m<A = 180 - (82 + 55) => sum of angles in a triangle.
= 180 - 137
m<A = 43°
Find a using the law of sines:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]
[tex] \frac{a}{sin(43)43} = \frac{24}{sin(55)} [/tex]
Cross multiply
[tex] a*sin(55) = 25*sin(43) [/tex]
[tex] a = \frac{25*sin(43)}{sin(53)} [/tex]
[tex] a = 20 [/tex] (approximated)
Answer:
20.0
Step-by-step explanation:
I got it correct on founders edtell
Let ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21. Solve for x.
Answer:
5Step-by-step explanation:
Given the following angles ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21, the expression is true about the angles;
∠AOC = ∠BOC+∠AOB
Substituting the given values into the expression, we will have;
21 = x+3+4x-7
collect the like terms
21 = x+4x+3-7
21 = 5x-4
Add 4 to both sides
21+4 = 5x-4+4
25 = 5x
Divide both sides by 5
5x/5 = 25/5
x = 5
Hence the value of x is 5
64 + 13 + (-83) Thanks for taking time out of your day your help
3. Which of the following equations does not
have a rational solution?
(A) x*x= 2
(B) x*x=1
(C) x*x=0
(D) x+x=0
Answer:
Equation A doesn't have a rational solution
Step-by-step explanation:
Notice that the solutions for equation A is:
[tex]x^2=2\\x=+/- \sqrt{2}[/tex]
and [tex]\sqrt{2}[/tex] is an irrational number
The other equations have rational solutions:
Equation B: x = 1 and x = -1 are solutions (both rational numbers)
Equation C: x = 0 is the solution (rational number)
Equation D : x = 0 is the solution. (rational number)
−a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3
Answer:
7
Step-by-step explanation:
a = 3, b=2 and c = -3
● -a^2 - 3b^3 + c^2 + 2b^3 -c^2
● -a^2 - b^3
● -(3)^2 + 2×2^3
● -9 + 16
● 7
Answer:
-35
Step-by-step explanation:
-3^2-3(2^3)-3^2 + 2(2^3)-3^2
If x = -2,y=-6 and z=4.Find the value of the following. a) 4z+2y-x. Please help.50 points . ASAP
4(4)+2(6)-(-2)
16+2(6)-(-2)
multiply 2 by 6
16+12-(-2)
multiply -1 by -2
16+12+2
add 16 and 12
28+2
add 28 and 2
30
so your answer is 30
The math club sells candy bars and drinks during football games. 60 candy bars and 110 drinks will sell for $265. 120 candy bars and 90 drinks will sell for $270. How much does each candy bar sell for?
Answer:
$0.75 per candy bar
Step-by-step explanation:
For this problem, we simply need to set up a system of equations to find the value of a drink, and the value of a candy bar.
Let x represent the cost of a candy bar, and y represent the cost of a drink.
60x + 110y = 265
120x + 90y = 270
Now let's use the elimination method to solve for one of the variables:
60x + 110y = 265 --> -2 ( 60x + 110y = 265 ) --> -120x + -220y = -530
-120x + -220y = -530
120x + 90y = 270
-130y = -260
y = 2
Now plug the value of y into one of the equations to find the value for x:
60x + 110y = 265
60x + 110 (2) = 265
60x + 220 = 265
60x = 45
x = 45 / 60
x = 0.75
With this, we know that the cost of a candy bar is $0.75 and the cost of drink is $2.00.
Cheers.
A cylinder is shown with a base diameter of 6 centimeters and a height of 8 centimeters. What is the minimum number of identical containers Rene would need to make 2,000 cm3 of ice? (Use π = 3.14.)
Answer:
Rene needs 9 of these identical cylinder.
Step-by-step explanation:
diameter d = 6 cm
height h = 8 cm
volume of this cylinder v = [tex]\pi d^{2}h/4[/tex]
substituting, we have
v = (3.142 x [tex]6^{2}[/tex] x 8)/4
v = 226.224 cm^3
minimum number of identical containers Rene should use should be
n = 2,000/226.224 = 8.8
The minimum number must be a whole number, and must completely make this 2000 cm^3 volume of ice or more
answer will be 9