Answer:
{x : x > 5}
Step-by-step explanation:
-4x - 5 < -25
-4x < -20
When dividing/multiplying both sides with a negative number, change the inequality symbol to the opposite direction. e.g. < to > or > to <.
x > -20/-4
x > 5
Hence, the solution set is {x : x > 5}.
8+(6 - 2)3 divided by 2
A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 8 large boxes and 4 small boxes has a total weight of 173 kilograms. Delivery of 3 large boxes and 2 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?
Weight of each large Box: ?
Weight of each Small Box: ?
Answer:
x = 18.5 (large) , y = 6.25 (small)
Step-by-step explanation:
Let's start by assigning variables to each type of box.
The large box we will call "x"
The small box we will call "y"
We know that 8x + 4y = 173 (kilograms)
And 3x + 2y = 68 (kilograms)
Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.
8x + 4y = 173
3x(-2) + 2y(-2) = 68(-2)
-6x + -4y = -136 (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)
Add equations together:
2x = 37
x= 18.5
Now that we have x, just substitute it into any of the equations to get y.
You will see that y = 6.25
Please mark this brainliest, and I hope this helps!
Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
We know that,
two angles which are formed by the intersection of two lines ,are equal and are called vertically opposite angles.
ATQ,
angle x lies on a line same as the other given angle which is intersected by an another line ,
hence,
x = 52°What makes this undefined.
The expression is undefined when x=3 or -3
Solution:An expression is undefined when it's divided by 0.In order to make the denominator equal 0, we need to subtract 9-9. Notice that x is squared.So x times itself should equal 9. What number is it?That's right, 3.So we have9-(3)^2=9-9=0There's also another solution: x=-3 (-3•(-3)=9Hope it helps.
Do comment if you have any query.
Answer: The expression is undefined when x is 3 or -3
Step-by-step explanation:
The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.
[tex]9-x^{2} =0\\[/tex]
We want [tex]x^2[/tex] to be positive so divide everything by -1
[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]
Use difference of two squares (DOTS) to factor
[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]
So x cannot be 3 or -3
Please help guys love you
Answer:
1. SSS
2. SAS
3. ASA
4. ASA
Step-by-step explanation:
1. All three sides are equal.
2. Two sides are equal and the angle between the two sides is equal.
3. Two angles are the same and a corresponding angle is the same.
4. Two angles are the same and a corresponding angle is the same.
The box-and-whisker plot below
represents some data set. What is the value of the first quartile?
Answer: 77 is right.
Step-by-step explanation:
In the given box-and-whisker plot, the value of first quartile is 85.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
From the given box and whisker plot,
Minimum=77
Maximum=92
First Quartile=85
Median=87
Third Quartile=89
Therefore, in the given box-and-whisker plot, the value of first quartile is 85.
Learn more about the box plot here:
https://brainly.com/question/1523909.
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What is the solution to this system of equations?
Those equations in the corner are, y = x -4. y = -0.5x + 8
Answer:
x=8, y=4
(8,4)
Step-by-step explanation:
y = x - 4
y = -0.5x + 8
x - 4 = -0.5x + 8
x = -0.5x + 12
1.5x = 12
15x = 120
x = 8
plug x back into one of the first equations, and you get
y = 4.
(8,4)
what is f(x)25x2+9x+10
how many pounds is 480 oz?
please provide what you did to get the answer please :)
Answer:
30 pounds in 480 ounces.
Step-by-step explanation:
16 ounces = 1 pound.
480 ounces divided by 16 = 30 pounds
Answer:
30 pounds. 480 ounces
30 pounds
divide the mass value by 16
What is the sum (2 x 1016) + (7 1016) in scientific notation
Answer:9x1016
Step-by-step explanation:
when adding or subtracting in standard form (aka scientific notation), the powers of 10 need to be the same. If they are just add the numbers and keep the same power of 10
#2xx10^(16)+7xx10^(16)
= ( 2 + 7 ) × 10 16
9 × 10 16
Simplify the expression.
3.1z + 2.1z
(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the expression.)
Answer:
5.2z
Step-by-step explanation:
When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.
3.1 + 2.1 = 5.2
So 3.1z + 2.1z = 5.2z
Which statement is true about the discontinuities of the function f(x)?
f(x)=x+1/6x^2-7x-3
There are asymptotes at x=3/2 and x=-1/3
There are holes at x = 3/2 and x = -1/3
There are asymptotes at x = -3/2 and x = 1/3
There are holes at x = -3/2 and x = 1/3
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
Answer:A There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
f(x) = x^2 What is g(x)?
check the template in the picture below.
so the graph of f(x) is simply expanded horizontally, meaning the value A*B changed to something less than 1.
[tex]\begin{array}{|l|cc|ll} \cline{1-3} &x&y\\ \cline{2-3} f(x)=x^2&2&4\\[1em] g(x)=\frac{1}{2}x^2&2&2\\ \cline{1-3} \end{array}[/tex]
Help me answer this please:)
Answer:
A and B
Step-by-step explanation:
[tex]\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2[/tex]
Now, look at your answer choices, which options are less than or equal to -2?
x ≤ -2, Check your answers:
A. -3 ≤ -2?
This statement is correct (-3 is < -2)
B. -2 ≤ -2 <== our original answer
This statement is correct (-2 is = to -2)
C. -1 ≤ -2
This statement is incorrect (-1 is > -2, not ≤ -2)
D. 0 ≤ -2
This statement is incorrect (0 is > -2, not ≤ -2)
E. 1 < -2
This statement is incorrect (1 is > -2, not ≤ -2)
Therefore, the correct options are A and B
Hope this helps!
5. A rectangle is shown with dimensions in inches
(in.).
3/4 in.
1/3 in.
CAN
What is the area of the rectangle in square inches?
square in.
Answer:
1/4 or 0.25in
Step-by-step explanation:
If you mean that 3/4 and 1/3 is lenght and width then:
3/4 x 1/3=1/4
1/4=0.25
1/4in^2
What is the order from least to greatest 1/5 1/10 0.5
Answer:
1/10
1/5
0.5
Explanation:
1/10 = 0.1
1/5 = 0.2
What was the upper quartile of the number of newspaper deliveries?
Answer:
45
Step-by-step explanation:
It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left
Answer:
67.5 is the upper quartile
what does the length equal?
Answer:
23.2 inches
Step-by-step explanation:
[tex]2(3 \sqrt{15} ) = 6 \sqrt{15} = 23.24 [/tex]
Help me please like plase
Answer:
Adjacent angles.
Step-by-step explanation:
a and b are next to each other on a straight line.
Solve this linear equation 2.6(.5.5-12.4=127.92
Answer:
First we must distribute the 2.6 to everything inside the ()
The new equation would then be 14.3p-32.24 = 127.92
Then you would add a -32.24 to each side of the equal sign, so that the 32.34 would become a zero pair on the right side of the equal sign and cancel.
The new equation would then be 14.3p = 160.16
Then you divide each side of the = by 14.3, that way the p becomes isolated. 14.3p/14.3 = 160.16/14.3
Then you're left with p=11.2
This is the number in standard form: 500,802,009,612
What is the number in expanded form?
Answer:
500,000,000,000 + 800,000,000 + 2,000,000 + 9,000 + 600 + 10 + 2
Step-by-step explanation:
To write a standard form number into an expanded form, we must look at the amount of numbers at each 'place' in the number.
Hundred-Billions --> 5 Hundred-Thousands --> 0
Ten-Billions --> 0 Ten-Thousands --> 0
Billions --> 0 Thousands --> 9
Hundred Millions --> 8 Hundreds --> 6
Ten Millions --> 0 Tens --> 1
Millions --> 2 Ones --> 2
Answer: five hundred billion eight hundred two million nine thousand six hundred twelve.
Step-by-step explanation:
500,000,000,000=five hundred billion
800,000,000=eight hundred million
2,000,000=two million
9,000=nine thousand
600=six hundred
10=ten
2=two
Tina would like to withdraw an annual salary of $35,756 from an account paying 2.2% compounded annually for 35 years once she retires. given this information, determine the amount needed in her account in order for her to reach her goal. round to the nearest cent. a. $801,263.20 b. $866,442.02 c. $885,503.75 d. $1,213,299.,90
The amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.
What is the amount of a fixed period payment to be done to pay off the loan amount which is increasing compoundly?Suppose we're given that:
[tex]P_v[/tex]= Present value of the loan amountr = rate of interest (compound interest) per period of timen = number of period of time in which loan is to be paid offP = A fixed period payment needed to be done for paying off the loan in n number of periods.Then, we get:
[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]
Why do we need this loan paying formula?
It is because we can simulate this situation with above condition.
Suppose the balance in her account is loan that she has given to someone. Let it be x, so [tex]P_v[/tex] = x dollars
The loan is increasing compoundly per year(here period of time is year wise). r = 2.2% = 0.022
That loan taker will pay off(since she need money only for 35 years) the loan in 35 years by giving $35756 = P payments each year.
We need to find the value of that initial loan amount (which refers to the amount that she needs to keep in her account).
Putting values in the aforesaid formula, we get:
[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\\\\\\35756 = \dfrac{0.022 \times x}{1 - (1+0.022)^{-35}}\\\\\\x = \dfrac{35756 \times (1 - (1+0.022)^{-35})}{0.022} \approx 866442.02 \: \rm dollars[/tex]
Thus, the amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.
Learn more about loan payment here:
https://brainly.com/question/4234016
The other person is correct! The answer is B: $866,442.02.
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Have a great day and God bless! :D
Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of 20.75% per month. How many months will it take for the farm to triple in size? *Must solve using log/In method*
By using the exponential growth equation, we will see that the population triples after 5.83 months.
How many months will take for the farm to triple in size?We know that the initial population of bunnies is 820, and it grows at a rate of 20.75% per month, then we can write the exponential growth as:
P(t) = 820*(1 + 20.75%/100%)^t
P(t) = 820*(1 + 0.2075)^t
Where t is the time in months.
Then we need to find the value of t such that the population triples, so we actually need to solve:
(1 + 0.2075)^t = 3
If we apply the natural logarithm to both sides, we get:
ln((1 + 0.2075)^t) = ln(3)
t*ln(1.2075) = ln(3)
t = ln(3)/ln(1.2075) = 5.83 months.
So, after 5.84 months, the population of bunnies will triple.
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/11464095
A figure was flipped over the y-axis and then
enlarged three times the original size. Which
transformations were use
a.) reflection over y-axis b.) translation
C.) dilation
d. rotation
Answer:
Below.
Step-by-step explanation:
a) reflection over y-axis.
b) dilation.
I need help giving crown
Answer:
The car is moved accross the y axis, then is moved down under the x axis. :)
Have an amazing day!!
Please rate and mark brainliest!!
Solve by factorisation
2x²+3x-20=0
Answer:
x=5/2 x=-4
Step-by-step explanation:
2x^2+3x-20 = (2x-5)*(x+4)
2x-5 = 0 x=5/2
x+4 = 0 x=-4
Answer: X= -4
Step-by-step explanation:
I have a bed but never sleep, I have a mouth but never eat, I run but never walk. What am I?
Answer:
A river
Explanation;
A river has a "bed," they have a "mouth," and they "run."
Jessa has $23 that she wants to divide equally among her 5 children. How much money will each receive?
Answer:
23 /5=4.6
4 3/5
4 6/10
There are 70
70
days in ten weeks.
Based on the mean from the sample, how many more guests will stay at the small hotel than at the bed and breakfast in a 10
10
-week period?
Based on the mean from the sample, I would expect that the number of guests that will stay at the small hotel than at the bed and breakfast would be 4.50.
How many more guests will stay at the small hotel than at the bed and breakfast?
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
The number of guests at the small hotel in excess of those at the bed and breakfast = 7.75 - 3.25 = 4.50
To learn more about mean, please check: https://brainly.com/question/25842202
Answer:
315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
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At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:
S = 7.75 x 70 = 542.5
At the bed and breakfast, the mean was of 3.25 guests per night, hence:
B = 3.25 x 70 = 227.5.
The difference is given by:
S - B = 542.5 - 227.5 = 315.
Therefore, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
the product of a number and 6 decreased by 2
(don't solve,i just need it in a equation)
[tex]y = 6x - 2[/tex]
I believe this is correct