Answer:
You have to read 4 or more books per month.
Step-by-step explanation:
Given that:
Number of months to read the books = 17 months
Number of books to read = 68 at least
Number of books per month = x
The inequality for the situation is;
[tex]17x\geq 68[/tex]
Dividing both sides by 17
[tex]\frac{17x}{17}\geq \frac{68}{17}[/tex]
x ≥ 4
Hence,
You have to read 4 or more books per month.
A machine can print 300 posters in 10 minutes. How many posters can the machine print in 2 minutes?
Answer: 60
Step-by-step explanation:
30 papers every minute.
Answer:
The correct answer is 60
Step-by-step explanation:
First you find the unit rate by doing 300 divided by 10 which equals 30 posters per minutes then do 30 times 2 to equal 60
HAVE A GOOD DAY!
If 50% of the students in your class like chocolate cake, how many students are in your class if 16 students like chocolate cake? hurry!
The required number of students in the class is given as 32, as per the given condition.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Let the number of students in the class be x,
according to the question,
50% of x = 16
x = 16/50%
x = 16/0.5
x = 160/5
x = 32
Thus, the required number of students in the class is given as 32, as per the given condition.
Learn more about percentages here:
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Evaluate −4(14)6x for x=13. Enter your answer as a fraction in simplest form in the box.
Solve the linear equation below for x. *
3x + 4 = 8x – 9
A. 2.6 B. 1 C. 1.09 D. 2
10 to the power of -3
Answer:
its 0.001
Step-by-step explanation:
Hope this helps :)
Answer:
0.001
Step-by-step explanation:
10^-3 = 0.001
You don't multiply since it's a negative power.
Ace
pls help me answer this
HELPP!!! DON'T ANSWER IF YOU ARE NOT SURE PLEASE !!
Select the reason why these triangles are similar. If they are not, select “not similar”
Well we need what reasons they could be similar. Is that all you are given or are there options?
Due Today, Help me pls. I will MARK AS BRAINLIEST.
Simplify and Factorise a(a + b - c) - bc
Step-by-step explanation:
[tex] = a(a + ab - c) - bc[/tex]
[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]
[tex] = {2a}^{2} + ab - ac - bc[/tex]
(18 ÷ 3) + (3² - 7) =
finish brackets first.
(6) + (9-7)
= 6+2
=8
Pls help and have a good day
Answer:
6^5
Step-by-step explanation:
You too, btw!
Answer:
6 with a small 5 on the side so press the button with the a and the small be then put 6 and 5 as the small number
exponents are just 6 x 6 x 6 x 6 x 6 just count the number of 6's and put it as the little number if that names sense
Step-by-step explanation:
4. Evaluate 5x2 + 16y for x = 2 and y = -3
Answer:
-28
Step-by-step explanation:
=5(2)²+16(-3)
=5(4)+(-48)
=20-48
=-28
Answer:
-28
Step-by-step explanation:
Expression: 5x²+16y
x=2 and y=-3
We'll substitute x as 2 and y as -3
5(2)²+16(-3)
Following Order of Operations, do the exponent part first
5(4)+16(-3)
Multiply
20-48
subtract
-28
Hope this helps
Find the quotient by using a grid or drawing a picture.
720 ÷ 16
A. 46
B. 47
C. 45
D. 48
please help and explain!! I got 14x +0
Answer:
[C] 16
Explanation:
7x + 8 − 7x + 8= 7x + 8 + −7x + 8
Combine Like Terms= 7x + 8 + −7x + 8
= (7x + −7x) + (8 + 8)
= 16
13. The programmer at a local public radio station is compiling data on listeners who stream podcasts. An executive for the national broadcaster has communicated that the overall population mean is 20,500 with a standard deviation of 2,180. The local programmer has a sample of 30 podcasts for her station. By the central limit theorem, which interval do about 99.7% of the sample means fall within?
A. 20,102 and 20,898
B. 20,282 and 20,718
C. 19,306 and 21,694
D. 19,704 and 21,296
Answer:
C. 19,306 and 21,694
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, for samples of 30:
Mean: 20,500
Standard deviation: [tex]s = \frac{2180}{\sqrt{30}} = 398[/tex]
99.7% of the sample means fall within 3 standard deviations of the mean, by the Empircal Rule with the Central Limit Theorem:
Lower bound: 20500 - 3*398 = 19,306
Upper bound: 20500 + 3*398 = 21,694
So the correct answer is option C.
Find the coordinates of the midpoint AB
What is the value of the expression three less than the quotient of ten and a number, increased by six" when n = 2?
Answer:
The Answer is 8.
Step-by-step explanation:
I just took the test on Edge and got it right, hope this helps! :)
30 cupcakes he spreads 1/5 mint icing and 1/2chocolate how many will have vanilla icing
27 students are learning to make balloons animals. There are 3,172 balloons to be shared equally among the students. How many balloons are left over after sharing them equally? Show all necessary work.
Answer:
you would do 3,172 divided 27 which would be 117 then subtract that by 3,172
Step-by-step explanation:
HEEELPPP WILL DO ANYTHING FOR IT
Answer:
well hunny child whats the equation y'all use?
Step-by-step explanation:
Answer:
i wish i could help but what ik bout this is dat every triangle is 180* if dat help :(
but hey keep trying u can do dis :) <3
can anyone help me thanks
Answer:
C
Step-by-step explanation:
We can use the vertex form of a quadratic equation, given by:
[tex]f(x)=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
We are given that the vertex is (-3, 1).
Hence, h = -3 and k = 1. By substitution:
[tex]f(x)=a(x-(-3))^2+(1)[/tex]
Simplify:
[tex]f(x)=a(x+3)^2+1[/tex]
With this, we can eliminate B and D.
Notice that our parabola is curving downwards.
Therefore, our leading coefficient must be negative.
The only choice that leaves us with is C.
So, our function is:
[tex]f(x)=-(x+3)^2+1[/tex]
And our final answer is C.
Please help me with this
Answer:
2nd option AOD and BOD because they add up to 180
Step-by-step explanation:
Segment GH is a mid segment of triangle JKL.Select all of the equations that could be used to find the value of x.
Answer:
A. 2(5x + 2) = 3x + 32
F. ½(3x + 32) = 5x + 2
Step-by-step explanation:
GH = 5x + 2
KL = 3x + 32
Based on the midsegment theorem,
½(KL) = GH
That is:
½(3x + 32) = 5x + 2
Or
2(GH) = KL
That is:
2(5x + 2) = 3x + 32
The owner of Carlisle Construction is a little
overprotective of his brand new cement mixer,
so each night, he parks it in a storage facility
that is 120 feet long, 45 feet wide, and 45
feet high. What is the facility's volume in cubic
yards?
Answer:
The facility's volume in cubic yards is 9000
Step-by-step explanation:
The volume of the facility is given by the multiplication of it's dimensions.
We want the volume in cubic yards, so the dimensions have to be in yards.
Each feet has a third of an yard. So the dimensions are:
120 feet = 40 yards
45 feet = 15 yards
45 feet = 15 yards
What is the facility's volume in cubic yards?
[tex]V = 40*15*15 = 9000[/tex]
The facility's volume in cubic yards is 9000
What is the price of an $100 handbag during a 25% clearance sale?
Answer:
75 dollars
Step-by-step explanation:
What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring to solve.
x = +/- √7 and x = +/- √2
x = +/- i√7 and x = +/- i √2
x = +/- i √7 and x = +/- √2
x = +/- √7 and x = +/- i √2
Answer:D
Step-by-step explanation:
The solution is: x = +/- √7 and x = +/- i √2 are the solutions of the equation x^4 - 5x^2 - 14 = 0.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
we have to factorize the equation,
The given equation is
x^4 - 5x^2 - 14 = 0
To factor this expression, we can change variables to make easier to see the solution.
x^4 = y^2
and
x^2 = y
Applying the change, we have
y^2 - 5y - 14 = 0
Now, you can observe that to factor this expression, we just need to find two number which product is 14 and which difference is 5, such numbers are 7 and 2.
y^2 - 5y - 14 = 0
or, (y-7) ( y+2) = 0
However, remember that , y = x^2
so, (x^2-7) ( x^2+2) = 0
Applying the zero property, we have
x = +/- √7
and x = +/- i √2
As you can see, the equation has two real solutions and two complex solutions.
Therefore, the right answer is the last choice.
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Plsss help ASAP pls this is due at 12:00
Answer:
$74.49
(basically $74.50)
Step-by-step explanation:
hope that helps :))
How to calculate slope from a line on a graph
Norma Jean makes $25 per hour. She works 35 hours per week. She gets a commission of 15% on her total sales. How much should Norma sell to make $4,500 in a single week?
Norma needs to make sales worth $ _____ to make $4,500.
Answer:
$24,166.67
Step-by-step explanation:
Let carry out the breakdown:
So Norman Jean makes a flat rate of $25 per hour, also she works 35 hours per week.
From the above statement Jean will make => 25 × 35 = $875 in a single week without commission.
For Jean to make $4500 in a week, we derive an equation for this:
875 + x = 4500;
x is the amount of commission Jean has to get in a week to make up to $4500 in that week => x = 4500-875; x = $3625.
Let y be the amount of sales Jean has to make to get a commission of x, we derive the following equation: 0.15 × y = x.
y = x ÷ 0.15 => 3625 ÷ 0.15
y = 24166.67.
So for Jean to meet her target of $4500 in a single week, Jean needs to make a sale worth $24,166.67.
Create an algebraic expression
Answer:
3x-5+2y
Step-by-step explanation:
Wasnt much detail to the question so i created a random algebra expression you cannot have an equal sign for an expression because that would change it from an expression to an equation.