Solve each inequality. Graph and check the solution.
e
1.
<3
2
0 1 2 3 4 5 6 7 8 9 10 11
Answer:
xxxx
Step-by-step explanation:
Last year, Christine opened an investment account with $5600. At the end of the year, the amount in the account had decreased by 26.5%. How much is this
decrease in dollars? How much money was in her account at the end of last year?
Decrease in amount:
$
Year-end amount:
Answer:
Decrease amount: $1484 Year-end amount: $4116
Step-by-step explanation:
26.5% of 5600 is 1484. We then subtract 1484 from 5600 because that is how the percentage of decrease, which gives us 4116 dollars. This means her year-end account is 4116 dollars, and the decrease amount is 1484 dollars. Hope this helps!
Distributive property to simplify 6(8) + 6(-2)
Answer:
36
Step-by-step explanation:
You would multiply 6x8+6x(-2), and that would equal 48+(-12) which is basically 48-12 = 36.
Does the equation Y equals 2X +3 represent a proportional relationship
There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?
Answer:
4 + 4 + 32 = 40 rows
Step-by-step explanation:
Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames
Answer:
36:27
Step-by-step explanation:
18 - 3 = 15$ for each picture frame
15$ (picture frames) : 18$ (albums)
4 picture frames : 3 albums = 114$
1026 divided by 114 = 9
4x9 = 36 picture frames
3x9 = 27 albums
36:27
Answer:
Marie bought 36 frames and 27 albums
Step-by-step explanation:
So is an album is $18 and a picture frame is $3 less that would make picture frames $15. Now if the ratio of picture frames to albums was 4:3 and she paid a total of $1026 for all, the equation would look like this:
15f + 18a = 1026
Now add in the ratio
(15 + 15 + 15 + 15 + 18 + 18 + 18)x = 1026
114x = 1026
x = 9
Now this means the ratio fit 9 times into the end number
Picture Frames: 4 x 9 = 36
Albums: 3 x 9 = 27
And to check we plug back in
15(36) + 18(27) = 1026
540 + 486 = 1026
1026 = 1026
At Sidney's Hats, 84% of the 50 hats are baseball caps. How many baseball caps are there?
Answer:
thats what i said
Step-by-step explanation:
It’s for pre college
Answer:
Not a function
Step-by-step explanation:
if I move up 8 and then move down 8 where am I located?
Answer:
you are back in your place.
Step-by-step explanation:
In the final exams, 40% of the students failed chemistry, 25% failed physics, and 19% failed both chemistry and physics. What is the probability that a randomly selected student failed physics given that he passed chemistry?
I have answered the question in the image below, but I would like to know if it is correct. If it is not, please include an explanation of why, as well as the step by step to get the correct answer
Answer:
10%
Step-by-step explanation:
If 40% failed chemistry then 60% passed chemistry.
If 19% failed both chemistry and physics, and 25% failed physics, then 6% passed chemistry and failed physics.
If we let p' represent failing physics and c represent passing chemistry, then ...
P(p'|c) = P(p'c)/P(c)
P(p'|c) = 6%/60% = 0.10 = 10%
If the randomly chosen student passed chemistry, the probability is 10% that he failed physics.
__
Your answer is correct.
To solve this problem, we can use conditional probability.
Let's assume that there were 100 students in the final exam.
According to the problem, 40% of the students failed chemistry, which means that 60% of the students passed chemistry.
We can see that 25% of the students failed physics, and 19% of the students failed both chemistry and physics.To find the probability that a randomly selected student failed physics given that he passed chemistry, we need to use Bayes' theorem:
[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{P(Failed\: Physics\: and\: Passed\: Chemistry)}{ P(Passed\: Chemistry)}[/tex]
We already know that P(Failed Physics and Passed Chemistry) = 6 students (from the Venn diagram), and P(Passed Chemistry) = 60 students (since 60% of the students passed chemistry).
Therefore,
[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{6}{60} = 0.1\: or\: 10\%[/tex]
So the probability that a randomly selected student failed physics given that he passed chemistry is 10%.
Which of the following best describes a ratio?
Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option
A. A comparison of two numbers
A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8
Learn more on ratios:
https://brainly.com/question/2328454
(03.02 MC) The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. (The figure is not drawn to scale.) A 6 mi 2 mi 00 B С Which of the following choices is closest to the distance (in miles) between points A and B?
9514 1404 393
Answer:
(b) 5.66 mi
Step-by-step explanation:
You only need to eliminate the unreasonable answers to make the correct choice.
The hypotenuse of the right triangle is its longest side, so the unknown length must be less than 6. That eliminates the last two choices.
The unknown length cannot be less than the difference of the sides shown, so the unknown length must be more than 4. That eliminates the first choice.
The only reasonable choice is ...
B. 5.66 miles
_____
If you like, you can calculate the distance using the Pythagorean theorem.
AB² + 2² = 6²
AB = √(36 -4) = √32 ≈ 5.66 . . . miles
In triangle GHI, m H is 20 more than
m G, and m G is 8 more than m I.
What is the measure of each angle?
H =20
G = 8 mor than I
the measure of H is 28 because it says that g is 8 more so that means I can be 0 and that means G is 8 and then H is 20. therefore solving your answer
Which statement is true in the question below?
Answer:B
Step-by-step explanation:
1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?
Answer:
2:1 or 2
Step-by-step explanation:
*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".
>> therefore 10/5 can be simplified to 2/1 )***
For every 10 notebooks, there are 5 ballpens.
Therefore, for every 2 notebooks there is 1 ballpen (The simplification).
EXTRA:
**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.
2/1 is not the same as 1/2 **
How do you write as an expression of inequality, then solve it?
Twice a number is more than the sum of that number and 8
Answer:
2x > x + 8
x > 8
Step-by-step explanation:
(Twice a number) (is more than) (the sum of that number and 8)
2x > x + 8
2x > x + 8
Subtract x from both sides
x > 8
explain how the model represents 5/ 1third
Here is ur perfect answer
The student government snack shop sold 64 snacks this week. 8 of the snacks sold were fruit cups. What percentage of all snacks sold were fruit cups?
Rewrite the equation as a division equation.
Answer:
8/64 = 0.125 = 12.5%
Step-by-step explanation:
8/64 = 0.125 = 12.5%
Calculator
(4y + 10°
What is the value of y?
Enter your answer in the box.
759
(3x)
B
y =
Answer:
y = 5
Step-by-step explanation:
The base angles of this isosceles triangle are congruent, so the angle at A is ...
A = 180° -2(75°) = 30°
(4y +10)° = 30° . . . . . substitute the given expression for angle A
4y = 20 . . . . . . . . . . divide by °, subtract 10
y = 5 . . . . . . . . . divide by 4
_____
Additional comment
The value of x is 25.
x is found from 3x=75, by dividing both sides of this equation by 3.
what is (12x2)-(45/5)
Answer:
[tex](12 \times 2) - \left(\dfrac{45}5 \right) =24 -9 = 15[/tex]
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
(12 × 2) - (45 / 5) ← evaluate parenthesis
= 24 - 9
= 15
To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.
Answer:
option d
Step-by-step explanation:
Your should have attached the equation for answer to be explained
A recipe for 24 cookies requires112 cups of sugar. If Ben wants to make 36 cookies, how much sugar does he need?
Answer:
168 cups of sugar
Step-by-step explanation:
36 cookies require you to use what the recipes calls for plus one half.
112 divided by two is 56
112 + 56 = 168 cups
I hope that this helps!
For this case we have the following data:
24 cookies require 1 1/2 cups of sugar. To know the amount of sugar that is required to make 36 cookies, we make a rule of three:
24 -----------> 1 1/2
36 -----------> x
Where x represents the amount of sugar required to make 36 cookies.
Thus, cups of sugar are required to make 36 cookies.
On the first three tests, Jhon scored 72 points. On the next test, he got a higher score. On the
third test, his score was 1 more than on the second. His average on the three tests was 83.
What were his grades on the second and third tests?
Answer:
Second test=88
Third test=89 Hope this helps please mark brainliest it helps a lot! Thanks!
Step-by-step explanation:
According to the question, here we got to know that John scored 72 points in the first test
In the second he scored higher than the 1st test
In the third he scored 1 mark more than the second test
His average in the three tests was 83
So,
Let's the marks scored in the 2nd test be x
Hence, in the third test he got x + 1
Average is 83
[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]
Mr. Hinkle baked a pie for Thanksgiving. He cut the pie into 6 piece. He and 2 of his friends each at one slice. What percent of the pie did they eat? *
30%
60%
50%
20%
Answer:
30%
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
five and one third plus five ninths
Answer: The answer is 8/9
Step-by-step explanation:
Answer:
53/9 or 5 and 8/9
Step-by-step explanation:
5 1/3 + 5/9
we can convert 5 1/3 to a fraction by multiplying 5 times the denominator and adding 1 (the numerator) to it. we get
16/3
we now need to get common denominators. the least common denominators is 9, so we multiply 16/3 by 3/3 and we get:
48/9
now we can add the two:
48/9 + 5/9 = 53/9 or 5 and 8/9
Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)
Group of answer choices
8 and 1 over 2 ÷ 1 over 4
8 and 1 over 2⋅ 1 over 4
8 and 1 over 2 + 1 over 4
8 and 1 over 2 − 1 over 4
Flag question: Question 4
Answer:
(a) 8 1/2 ÷ 1/4
Step-by-step explanation:
Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).
miles = (1/4)n
If Katie jogged 8 1/2 miles, then we have ...
8 1/2 = (1/4)n
We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:
(8 1/2) ÷ (1/4) = n
_____
Additional comment
If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.
[tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]
If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)
As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.
Can someone put an answer for each box plzzzz.
How do the expressions 5h2−3g and 3(g+h)h compare when g = 10 and h = 3?
Drag a symbol into the box to correctly complete the statement.
5h2−3g Response area 3(g+h)h when g = 10 and h = 3.
Answer:
the answer is >
Step-by-step explanation:
I took the test
1 32 multiplied by 0.32 when rounded to the nearest hundredths
Answer:
42.20
Step-by-step explanation:
132 ×0.32
=42.24
rounded off it give 42.20