Answer:
4) 7.9%
Step-by-step explanation:
Given:
% of milk chocolate = 70%
% of white chocolate = 30%
Total number of chocolate = 20
Number of milk chocolate:
[tex] \frac{70}{100} * 20 = 14 [/tex]
Number of white chocolate:
[tex] \frac{30}{100} * 20 = 6 [/tex]
From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.
2 white chocolates are picked at random without replacement.
Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]
Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]
To find probability that both of them are white chocolates, multiply probability of the first and second.
0.3 * 0.2632 = 0.07896
≈ 0.079
Convert to percentage by multiplying by 100.
0.079 * 100 = 7.9%
The probability that they are both
white chocolate is 7.9%
The price of gasoline increased 25% from July to August. If c = cost of gasoline in July, write two expressions that represent the price of gas in August. If you know the cost of gas in July, which expression do you think would be easier to use to calculate the cost of gas in August and why?
Answer:
Wrote it in the explanation :)
Step-by-step explanation:
Expression One: c + 25% = price of gas in august
Expression Two: c + 0.25 = price of gas in august
Expression Two would be easier to use if we knew "c" because the numbers are already in decimal form. If it were in percentage form, it would cause us an extra step to convert it into a decimal.
Please tell me if you have any further questions...
Hope this helped!!
-4|x|=-12 solve the equation
Answer:
-4|x| = -12
|x| = 3
x = 3, x = -3
Answer:
x=3, x=-3
Step-by-step explanation:
-4|x|=-12
Divide each side by -4
-4/-4|x|=-12/-4
|x|=3
There are two solutions to an absolute value one positive and one negative
x=3, x=-3
Can someone please help me
Answer:
-10
Step-by-step explanation:
im not sure but maybe
Answer:
6
Step-by-step explanation:
b(x)=|x+4|
b(-10)=|-10+4| (subtitute -10 into x)
=|-6|
=6
because any num in modulus will become positive
If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of the right triangle. Round to the nearest hundredth.
I might give you a brainliest if your answer is correct and you have a good explanation.
Answer:
9.74 feet
Step-by-step explanation:
the formula for finding a hypotenuse is [tex]a^{2} + b^{2} = c^{2}[/tex]. We can rearrange that to get: [tex]c^2 - b^2 = a^2[/tex]. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.
Hi!! I need some help with those exercises can anybody help me please !! Thanks you
Answer:
Step-by-step explanation:
(a+b)^2=a^(2)+2ab+b^(2)
(a-b)^2=a^(2)-2ab+b^(2)
13)
(x+2)^(2)-(x-1)^2
x^(2)+4x+4-(x^(2)-2x+1)
x^(2)+4x+4-x^(2)+2x-1
6x+3
15)
(x+5)^(2)-(x+1)^2
x^(2)+10x+25-(x^(2)+2x+1)
x^(2)+10x+25-x^(2)-2x-1
8x+24
If f= {(2, 3), (5,7), (3, 3), (5, 4), (9, 1)), what is the range?
(2,5, 3, 9)
(3, 7, 3, 4,1)
all whole numbers
{1, 3, 4, 7}
To list out the range, you list the y coordinate values of each point of the function. Each point is of the form (x,y). Any duplicate values are tossed out when we talk about a set. All we care about are the unique values. It's common practice to sort the values of the set from smallest to largest.
Side note: Choice A is listing the x values of each point, which is the domain.
what is the value for Z
Answer: z = 28 degrees
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
Tammy needs to make a total of 60 deliveries this week. sao far she has completed 42 of them. what percentage of her total deliveries has Tammy completed?
Answer:
70%
Step-by-step explanation:
42/60= 0.7 = 7/10 = 70%
Can you people help me please
Answer:
A: 5/23
Step-by-step explanation:
First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.
The question is asking what the odds of pulling a dime are.
Since there is 46 coins in the jar, you can just do a fraction and set it up like this:
10
46
From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23
Hope this helps, give brainliest pls blah blah blah
The value of 3⁵ ÷ 3-⁶
Answer: 33
Step-by-step explanation:
First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.
Next we have to figure out what 3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.
Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.
Hope this helped :)
The value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
We have - [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
We have to find its quotient.
Evaluate the following expression - [tex]\frac{a^{n} }{a^{m} }[/tex].You can simplify the expression as follows -
[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]
According to the question, we have -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
Using the rule mentioned above, we can solve this as -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]
Expanding [tex]3^{11}[/tex] = 177147
Hence, the value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
To solve more questions on exponents, visit the link below -
https://brainly.com/question/15531260
#SPJ6
( 5 x − 3 √ 6 ) ( 5 x + 3 √ 6 )
Answer:
b because look at the notes and study
Answer:
[tex]{25x}^{2} - 54[/tex]
What principal will amount to $3000 if invested at 3% interest compounded
semiannually for 10 years?
Please show the work of the problem
Answer: $2227.41
Step-by-step explanation:
A = P(1 + r/n)^nt
Please somebody help me with this ASAP!!!
Answer:
Please mark me brainliest and I hope this helps!
Answer: 52
Step-by-step explanation:
The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10
That is equal to 26 + 9 + 7 + 10.
Which is equal to 35 + 17.
And our final answer is 52.
Need some help with congruence and similarity
(Picture bellow)
Answer:
a and b are similarity i think that's what your looking 4 idk
Step-by-step explanation:
Write an equation in slope-intercept form for the line.
slope = 0, y-intercept = 3
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
There are two numbers which sum to 23. If one number is seven less than four times the other, find the numbers.
Answer:
Numbers are 6 and 17.
Step-by-step explanation:
Let the two numbers are 'a' and 'b'.
"Sum of these numbers = 23"
a + b = 23 --------(1)
"One number is 7 less than 4 times the other"
a = 4b - 7 ---------(2)
Substitute the value of 'a' in equation (1) from equation (2)
(4b - 7) + b = 23
5b - 7 = 23
5b = 23 + 7
5b = 30
b = 6
From equation (2),
a = 4b - 7
a = 4×6 - 7
a = 24 - 7
a = 17
Therefore, the numbers are 6 and 17.
Answer: 7 and 16
Step-by-step explanation:
Let x be the smaller of the two numbers. We are told that the larger number is five less than three times the smaller number x. Therefore, our two numbers are x and 3x−5. Given that the sum is 23, we find that
x+(3x−5)=23
Solving for x, we find that x=7. So the two numbers are 7,16.
The parabola y=x^2 is shifted down by 3 units and to the left by 2 units.What is the equation of the new parabola?
Answer:
y=(x+2)²-3
Step-by-step explanation:
when y=x² shifted 3 units down
its eq. is y=x²-3
when it is also shifted 2 units left then its eq. is
y=(x+2)²-3
i need the answer now!!
Answer:
10 ft^3
Step-by-step explanation:
if a cube is 1/3ft then 3 cubes = 1ft
then 30 cubes = 10ft^3
how do you compare 7/8 ___ 15/16 ?
Answer:
7/8 < 15/16
Step-by-step explanation:
Get a common denominator of 16
7/8 *2/2
14/16
14/16 < 15/16
so 7/8 < 15/16
Chris deposited $445 in an account that earns 3.4% compounded annually. Find the balance in his account after 6 years.
Answer:
$535.78
Step-by-step explanation:
First find out the annual earnings. So multiply 3.4% by 445
0.034 x 445 = 15.13
That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.
15.13 x 6 = 90.78
Now add that to the initial value.
90.78 + 445 = 535.78
That's the balance in the account after 6 years...
$535.78
PLEASE HELP WILL GIVE BRAINIEST AND MANY POINTS
Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form?
Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answer:
5x⁵4x³+2x²+5x+3
Polynomials will be closed under an operation if the operation produces another polynomial. (2x2 + 3x + 4) + (x2 - 5x - 3) = 3x2 - 2x + 1
Step-by-step explanation:
If f(x) = 2x2 + 3 and g(x) = x2 - 7, find (f-9)(x).
O A. 3x2 - 10
O B. 3x2 - 4
O c. x2 + 10
O D. x² - 4
Plzzz helpp
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x^2 + 3
g(x) = x^2 - 7,
(f-g)(x) = 2x^2 +3 - ( x^2 -7)
Distribute the minus sign
= 2x^2 +3 -x^2 +7
Combine like terms
= x^2 +10
What is 100 - 50= ?
Then whatever answer you get divide it by 5
Finally you divide it by 10 what do you get for your answer
Step-by-step explanation:
100-50=50
50/5=10
10/10=1 and
I hope you liked it please mark brainliestShow that (−3) × (−4) = +12 using the distributive property.
-3x-4= +12
X negative 3 and 4 then add +12 to it.
A net has a rectangle at the center and 4 triangles on the sides. The rectangle has a length of 6 meters and height of 2 meters. 2 triangles have a base of 6 meters and height of 8.8 meters. 2 triangles have a base of 2 meters and height of 9 meters. What is the surface area of the rectangular pyramid? m2
Answer:
Area of the rectangular pyramid is 82.8m²
Step-by-step explanation:
Given
Number of rectangle = 1
Number of triangles = 4
Dimension of Rectangle = Length = 6 metres; Height = 2 metres
Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres
Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres
Required
Area of the Rectangular Pyramid
To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;
Calculating the area of the rectangle;
Area = Length * Height
Area = 6m * 2m
Area = 12m²
Calculating the area of the first two triangles;
Base = 6 metres and Height = 8.8 metres
Area of a triangle = 0.5 * Base * Height
Area = 0.5 * 6m * 8.8m
Area = 26.4m²
Area of two triangles = 2 * 26.4m²
Area of two triangles = 52.8m²
Calculating the area of the other two triangles;
Base = 2 metres and Height = 9 metres
Area of a triangle = 0.5 * Base * Height
Area = 0.5 * 2m * 9m
Area = 9m²
Area of two triangles = 2 * 9m²
Area of two triangles = 18m²
The area of the pyramid is the summation of the above calculations;
Area of Rectangular Pyramid = 12m² +52.8m² + 18m²
Area = 82.8m²
Hence, the area of the rectangular pyramid is 82.8m²
Answer:
82.8
Step-by-step explanation:
I just took the test
Have a good day :)
15POINTS OR 22 IDK
Solve 4(x−9)=4(9+1/3x).
Answer:
x = 27
Step-by-step explanation:
4(x−9)=4(9+1/3x).
Divide each side by 4
(x−9)=(9+1/3x)
Subtract 1/3 x from each side
x - 1/3x -9 = 9+1/3x -1/3x
2/3x -9 = 9
Add 9 to each side
2/3x -9+9 = 9+9
2/3x = 18
Multiply each side by 3/2
3/2 * 2/3x = 18*3/2
x = 27
Answer:
27
Step-by-step explanation:
4(x−9)=4(9+1/3x)
4x-36=36+(4/3)*x
(12/3)*x-36=36+(4/3)*x
(8/3)*x=72
8x=216
x=27
Find the counterexample to one of the following statements
1). A triangle cannot have an angle that is greater than 90º .
2). The product of two positive numbers is always greater than their sum.
Answer:
1) You know that the addition of all interior angles of a triangle always should add up to 180°
Then, for example, we can construct a triangle with angles
100°, 40°, 40° such that
100° + 40° + 40° = 180°
So we have an example of a triangle that has one angle greater than 90°.
2) Suppose that we have the positive numbers 0.5 and 1.
The product is: P = 0.5*1 = 0.5
the sum is: S = 0.5 + 1 = 1.5
The sum is greater than the product.
What equivalent fractions do you see represented in the picture? Type them and explain how you know they are equivalent type it in!
Answer: 2/8, 4/8, 4/4, 8,8
Step-by-step explanation:
They all have the denominator of 8.
There are 48 students studying a foreign language at the
community college. If the only two foreign languages offered are
French and Spanish, and 28 students are studying French, which of
the following represents the ratio of students studying Spanish to
the total number of foreign language students?
Answer:
5/12
Step-by-step explanation:
If 28 students are studying French, then the remaining 20 are studying Spanish. The ratio of those studying spanish to the total number of students is 20/48. This can be simplified to 5/12.
Answer:
5 to 12
Step-by-step explanation:
Since 28 students are already taking French, then you have to subtract that from the total students, giving you 20 students who take Spanish. So the ratio for Spanish students to total students would be 20 to 48. But that can be simplified (since all ratios need to be simplified) to 10 to 24. And that can again be simplified to 5 to 12.
Hope this helped!
Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?
Your answer would be approximately 30.93
Volume of a sphere is V=4 /3πr^3