Answer:
[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
The possibility of the event A occurring is given by the formula:
[tex]\boxed{P(A)= \frac{\text{number of favourable outcomes in A}}{\text{total possible outcomes}}}[/tex]
Since the event that we are looking for (favourable event) is choosing a girl with glasses, the number of favourable outcomes is the number of girls with glasses in the class.
Number of favourable outcomes= 4
Total possible outcomes
= total number of students in the class
= 10 +4
= 14
Thus, P(girl with glasses)
= [tex]\frac{4}{14}[/tex]
= [tex]\bf{\frac{2}{7} }[/tex]
Additional:
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https://brainly.com/question/12732115mr.rogers is buying candy for his class. he'll distribute the candy equally among his 25 scholars, and he wants each scholar to recieve at least 3 pieces of candy. he's also going to keep 5 pieces for himself. write an inequality statenent to represent the least number of candies that mr.rogers can buy
25 scholars × 3 candies = 75 candies
5 candies for himself = 80
Answer: 80 candies
An inequality statement to represent the least number of candies that Mr.Rogers can buy is 80≥x.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, Mr.Rogers distribute the candy equally among his 25 scholars.
Let the total number of candies be x.
Here, inequality is 25×3+5≥x
80≥x
Therefore, an inequality statement to represent the least number of candies that Mr.Rogers can buy is 80≥x.
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rita finished her chemistry assignment in 7/8 hours. Then she completed her math assignment in 1/4 hours. How much more time did rita spend on her chemistry assignment
Answer:
Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.
Step-by-step explanation:
Fraction of an hour Rita spent on chemistry assignment = [tex]\frac{7}{8}[/tex]
Fraction of an hour Rita spent on math assignment = [tex]\frac{1}{4}[/tex]
∴ Fraction of hour Rita spent more on her chemistry assignment than math assignment
⇒ [tex]\frac{7}{8}-\frac{1}{4}[/tex]
To subtract fractions we take LCD for 4 and 8. Since 8 is the least common multiple for 4 and 8 so, we take LCD= 8
To make the denominators same we need to multiply numerator and denominator of second fraction with 2.
⇒ [tex]\frac{7}{8}-\frac{1\times2}{4\times2}[/tex]
⇒ [tex]\frac{7}{8}-\frac{2}{8}[/tex]
After making the denominators common, we simply subtract numerators.
⇒ [tex]\frac{7-2}{8}[/tex]
⇒ [tex]\frac{5}{8}[/tex]
Therefore, Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.
Which of the following shows an equivalent expression to
[(5.3). 12] if only the associative property was used to transform the expression?
The equivalent expression using associative property is [tex]5 \times(3 \times 12)[/tex]
Solution:Given expression is [(5.3). 12]
We are asked to write a equivalent expression using associative property
The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis
Associative property is as follow:-
a + (b + c) = (a + b) + c { for Addition}
(a x b) x c = a x (b x c) { for multiplication}
The given expression is [(5.3). 12], which can be written as
[tex](5 \times 3) \times 12=5 \times(3 \times 12)[/tex]
Which measure is greatest, the amount of milk cottage cheese, or strawberries? 3/4 cup milk 2/6 cup cottage cheese 8/12 cup strawberries
Answer:
3/4 cup milk
Step-by-step explanation:
I order to be able to compare quantities that come in fraction form, the best is to write all of them as equivalent fractions with the same denominator. That way just looking at the magnitude of the numerators will allow us to give the answer.
the fractions to consider are: [tex]\frac{3}{4} \,,\, \frac{2}{6} \,, \, and\, \frac{8}{12}[/tex]
so the denominators in question are: 4, 6, and 12.
We see that 12 is the Least Common Denominator (LCD) of these three, since 4 divides perfectly 12, 6 divides 12 perfectly, and 12 divides itself perfectly as well.
Now, the initial fractions can be re-written with equivalent fractions showing denominator 12.We do such by multiplying numerator and denominator of the first fraction by "3" in order to get a "12" in the denominator. By multiplying the second fraction by 2 in numerator and denominator to get a "12" in the denominator. Notice that we don't need to modify the third fraction since it is already expressed with denominator 12:
[tex]\frac{3}{4} \,,\, \frac{2}{6} \,, \, and\, \frac{8}{12}=\\=\,\frac{9}{12} \,,\, \frac{4}{12} \,, \, and\, \frac{8}{12}[/tex]
Therefore, the greatest of these is the first fraction, that shows a "9" in the numerator (the largest of the three numerators)
A customer bought a car and paid $1,080 in sales tax.The rate is 6%?
The price of car is $18000
Step-by-step explanation:
Given
Sales tax on car = $1080
Rate = 6%
Let x be the price of the car
We know that as the rate of sale tax is 6%, 6% of x is 1080
Using mathematical notation
0.06x = 1080
Dividing both sides by 0.06
[tex]\frac{0.06x}{0.06} = \frac{1080}{0.06}\\\\x = 18000[/tex]
Hence,
The price of car is $18000
Keywords: Rate of tax, Percentage
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In Quadrilateral ABCD, AB|CD and mZ5
What is mZ5?
Answer:
∠5 = 27°
Step-by-step explanation:
CDB = ABD (alternate angle)
∠2 = ∠5
∠5 = 27°
(Correct me if i am wrong)
Answer:
∠5 = 27°
Step-by-step explanation:
CDB = ABD (alternate angle)
∠2 = ∠5
∠5 = 27°
what is 29 divided by 11
Answer:
2.63
Step-by-step explanation:
29/11=2.63
Answer:
2.64
Step-by-step explanation:
First you Set the problem up like
11/29
then you take
11/29
11x2= 22
29
-
22
=
7
If (-1, y) lies on the graph of y = 22x, then y =
Answer:
y=-22
Step-by-step explanation:
y=22x at (-1, y)
y=22(-1)=-22
Answer:
y=-4
Step-by-step explanation:
0.5 to the power of x equals 128. Find x
The value of x, that solves the equation 0.5 to the power of x equals 128, is approximately -7. This is found first by rearranging the equation into the logarithmic form, then using the change of base formula to solve for x.
Explanation:The question is asking to solve the equation 0.5 to the power of x equals 128 for the value of x. In order to solve this, we can use the properties of logarithms. Firstly, re-write the equation in log form as log (base 0.5) 128 = x.
We can use the change of base formula which is logba = logca / logcb, where c can be any positive value different than 1 (usually we use 10 or e). If we apply this to our formula it becomes: x = log 128 / log 0.5.
By calculation, x is approximated to -7. This means that when you raise 0.5 to the power of -7, you will get 128.
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Jared is taking diving lessons and starts 20 feet below sea level. He then dives down another 10 feet. From there, he goes up 15 feet. Which equation shows Jared’s a current level?
Answer:
-20 + (-10) + 15 = -15
Step-by-step explanation:
Evaluate 252.7 - 19.
Answer: 233.7
Step-by-step explanation:
The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume 5 lbs.
a.
C = 9.7w + 0.46
c.
C = 0.46w + 9.7
b.
C = 0.46w + 12
d.
C = 0.46(w - 5) + 9.7
Answer is D
Answer:
Option(d)
C = 0.46(w - 5) + 9.7
Explanation:
We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.
The equation for total cost C for given total weight w can be written by
sum of fixed value and every 5 extra lbs
which can be represented by the equation
C= 0.46(w-5) + 97.
Hence, this represents a linear model for the given data.
7 5/6 ÷ 2 2/3=
Need to know steps to get answer.
Answer:
47/16
Step-by-step explanation:
7 5/6=47/6
2 2/3=8/3
-----------------
(47/6)/(8/3)=(47/6)(3/8)=(47/2)(1/8)=47/16
The vertex form of f(x)=x^2-6x+5 is f(x)=a(x-h)^2+k. What are the values of a,h, and k?
Answer:
a = 1
h = 3
k = -4
Step-by-step explanation:
To convert this standard form equation to vertex form, use complete the square.
f(x) = x² - 6x + 5
f(x) = (x² - 6x) + 5 <=group ax² and bx, factor out if needed, not in this case.
add and subtract (middle term/2)²
f(x) = (x² - 6x + (6/2)² - (6/2)²) + 5 <=adding and subtracting the same number is like adding 0
f(x) = (x² - 6x + 9 - 9) + 5 <=simplify
f(x) = (x² - 6x + 9) -9 + 5 <=take out the negative constant
f(x) = (x - 3)² - 4 <=perfect square rule in brackets, simplify outside
a = 1 <= Nothing needed to be factored out from ax² and bx.
h = 3 <=If anyone says h = -3, they are wrong. the negative is already in the general equation which says "x-h". It does not say "x+h".
k = -4
Angel buys 6pumpkins for thanksgiving. He wants to make roasted pumpkin seeds. He realize that each pumpkin has about 756 seeds inside of its cavity. Each member of his family will eat one pumpkin. About how many roasted pumpkin seeds will he have in all?
What do I need to find?
What information do I need to use?
What information do you NOT need to use?
How will I use the information?
Answer:
There are pumpkin 756 seeds in all.
Step-by-step explanation:
Given:
Angel buys 6 pumpkins. Each pumpkin has about 756 seeds inside.
Now, to find total pumpkin seeds we multiply the total number of pumpkin from total number of seeds in each pumpkin has:
There are total 6 pumpkins.
In 1 pumpkin it has 756 seeds.
So, in 6 pumpkins there are = [tex]756\times 6[/tex]
= [tex]4536[/tex].
Therefore, there are pumpkin 756 seeds in all.
The information not needed for this calculation includes the details about sunflower seeds, almonds, sunflower oil, etc., that are irrelevant to the question. The key information to use is the number of pumpkins and the average number of seeds per pumpkin. The total number of roasted pumpkin seeds are 4,536.
Angel has 6 pumpkins, and each pumpkin has about 756 seeds.
Multiply the number of pumpkins by the number of seeds per pumpkin to find the total number of seeds: 6 pumpkins times 756 seeds per pumpkin.
Perform the multiplication to find the total: 6 times 756 = 4,536 seeds.
A bag contains white marbles and red marbles, 20 in total. The number of white
marbles is 5 more than 2 times the number of red marbles. How many white marbles
are there?
Answer:
white marbles
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Let x = number of white marbles and y = number of yellow marbles.
x + y = 57 => x = 57 - y
Also, x = 3 + 5y
Substitute x for y.
57 - y = 3 + 5y => 57 - 3 = 54 = 6y
So, y = 9
Since x (our answer) = 3 + 5 (9),
x = 48.
Check: 48 + 9 = 57 total
Fred buys a binder for $4.50 and six reams of paper. Latasha buys an ink cartridge for $17.50 and four reams of paper. Both spend the same amount of money. What is the price of one ream of paper?
Answer:
The the price of one ream of paper is $6.5.
Step-by-step explanation:
Here, Let us assume the cost of one ream of paper = $ m
The money spent by Fred:
The money spent on a binder = $4.50
The money spent on 6 ream of papers = 6 x ( cost of 1 ream )
= 6 x ($m) = 6 m
⇒The total money Fred spent = Money spent on (binder + 6 ream of papers)
= 4.50 + 6 m ....... (1)
The money spent by Latasha:
The money spent on a cartridge = $17.50
The money spent on 4 ream of papers = 4 x ( cost of 1 ream )
= 4 x ($m) = 4 m
⇒The total money Latasha spent = Money spent on (cartridge + 4 ream of papers)
= 17 .50 + 4 m .... (2)
Also, Both spend the same amount of money
⇒4.50 + 6 m = 17 .50 + 4 m ( from (1) and (2))
or, 6 m - 4 m= 17. 50 - 4, 50
or, 2 m = 13
or, m = 13/ 2 = 6.5
So, the value of m = $6.5
Hence, the the price of one ream of paper is $6.5.
Gail bought 80 buttons to put on the shirts she makes. She uses 5 buttons for each shirt. How many shirts can Gail make with the buttons she bought?
Leonard it sells small watermelons for seven dollars each and large watermelons for $10 each one day the number of small watermelons he saw was 15 more than the number of large watermelons and he made a total of $394 how many small and how many large watermelons a did he sell?
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −5x2 − 9x + 12 = 0
A: a = −9, b = 12, c = 0
B: a = −5, b = −9, c = 12
C:a = 5, b = 9, c = 12
D:a = 9, b = 12, c = 0
Answer:
So, the answer is option B: a = −5, b = −9, c = 12
Step-by-step explanation:
The general form of the quadratic Formula is ax² + bx + c = 0
We need to compare the given quadratic equation to the general form
ax² + bx + c = 0
−5x² − 9x + 12 = 0
So, we can deduce that
a = -5 , b = -9 and c = 12
So, the answer is option B: a = −5, b = −9, c = 12
✨Answer✨
B) a = −5, b = −9, c = 12~✨Keep dreaming! ✨~
what is the volume of a brick that is 20.3 cm long, 8.9 cm wide, and 5.7 cm high?
Answer:
1029.819
Step-by-step explanation:
20.3 * 8.9 * 5.7 = 1029.819
Answer: 1,029.819 cm³
Step-by-step explanation: In this problem, we're asked to find the volume of a brick. To find the volume of a brick, we use the formula for the volume of a rectangular prism.
To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the following formula.
Volume = length × width × height
Since the brick has a length of 20.3 centimeters, a width of 8.9 centimeters, and a height of 5.7 centimeters, we can plug this information into the formula.
Volume = (20.3 cm) (8.9 cm) (5.7 cm)
Volume = 1,029.819
Therefore, the volume of the brick is 1,029.819 cm³.
Also, it's important to understand that we can plug any number in for the length width or height as long as it's one of the numbers given and it's not used more than once.
This is because the commutative property of multiplication tells us that changing the order of the factors doesn't change the product.
simplify: (5x+3y)-(2x-7y)+8x
Answer:
11x + 10y
Step-by-step explanation:
(5x + 3y) - (2x - 7y) + 8x
• Remove the parentheses:
5x + 3y - 2x + 7y + 8x
• Collect like terms:
(5x - 2x + 8x) + (3y + 7y)
• Simplify:
11x + 10y
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Jody's older brother is only three years less than twice Jody's age. If the sum of their ages is 30, then what is the age of jodys brother
Answer: 19
Step-by-step explanation:
j+2j-3 = 30
3j = 33
j = 11
and
b = 2j-3
b = 2(11)-3
b = 19
Answer:19
Step-by-step explanation:
I have 7/8 of a gallon of juice and i give 1/2 away how much would i have left please show the work
Solve x=4 (.34x + 1.4)
I really need help with this answer
Answer:
The given two triangles are not congruent.
Step-by-step explanation:
See the diagram of the two triangles attached to this question.
The third angle of the second triangle is [180° - (31° + 124°)] = 180° - 155° = 25°.{Since the other two angles of the triangle are 31° and 124°}
Now, for the first triangle, the values of the adjacent angles of the side with length 6 are 45° and 31°, but for the second triangle, the values of the adjacent angles of the side with length 6 are 25° and 31°.
Therefore, two triangles do not satisfy the Angle=Side-Angle i.e. ASA criteria to become congruent.
So, the given two triangles are not congruent. (Answer)
put the numbers in order from least to greatest -1/4,6/10".625,-.5
Answer:
-0.5, -0.25, 0.6, 0.625
Step-by-step explanation:
-1/4=-0.25
6/10=3/5=0.6
--------------------
Delia has 493 stamps in her stamp collection. She can put 16 stamps on each page of an album. How many pages can she fill completely.
Answer:30
Step-by-step explanation:
it’s division. there’s some left over but they wouldn’t make a complete page.
493/16=30.8....
If 168 chocolate chips weigh 5
ounces. How many chocolate chips are in an ounce?
Answer:
About 34
Step-by-step explanation:
There are 168 chocolate chips in 5 ounces. That means you want to know how many chips there are per ounce. Divide 168 by 5 and you get approximately 34 chocolate chips per ounce (33.6 if you need this)
Answer:
34
Step-by-step explanation:
All you have to do is divide
168 / 5 = 33.6
so about 34 chocolate chips in an ounce
Alexander is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Alexander scores a total of 14 points and made twice as many two points shots Alexander made and the number of three points shots he made
Answer:
2 three points shots and 4 two points shots
Step-by-step explanation:
Let x be the number of three points shots.
Alexander made twice as many two points shots as three points shots, so the number of two points shots is 2x.
Amount earned in three points shots [tex]=3\cdot x[/tex]
Amount earned in two points shots [tex]=2\cdot (2x)=4x[/tex]
Total score [tex]=3x+4x=7x[/tex]
Alexander scores a total of 14 points, then
[tex]7x=14\\ \\x=2\\ \\2x=2\cdot 2=4[/tex]