Answer:
A) Values in the solution set satisfy both inequalities.
B) It is the intersection of two solution sets.
Step-by-step explanation:
We denote intersection as AND.
[tex]A \cap B \implies \text{A and B}[/tex]
Take those sets. The intersection is what A and B share.
The container of orange juice held 5 and one-third cups of juice. If a serving of orange juice is StartFraction 7 Over 8 EndFraction of a cup of orange juice, to the nearest whole serving, how many servings were in the container? 5 servings 6 servings 15 servings 19 servings
Answer:
6 servings
Step-by-step explanation:
To find the number of servings, divide the total amount by the quantity per serving.
You can compute this using a calculator:
5.333/0.875 ≈ 6.095 ≈ 6 servings
__
Or, you can do the mixed-number math:
(5 1/3)/(7/8) = (16/3)(8/7) = 128/21 = 6 2/21 ≈ 6
There were 6 servings in the container.
Answer:
6
Step-by-step explanation:
6 is the answer.
Subtract.
(5x4+ 3x3 - 6) - (8x2 – 3x+5)
Answer:
5x^4+3x^3-8x^2+3x-11
Step-by-step explanation:
(5x^4+ 3x^3 - 6) - (8x^2 – 3x+5)
Distribute the minus sign
(5x^4+ 3x^3 - 6) - 8x^2 + 3x-5
Combine like terms
5x^4+3x^3-8x^2+3x-11
Answer:
5x4 + 3x3 - 8x2 + 3x - 11
Step-by-step explanation:
(5x4 + 3x3 - 6) - (8x2 - 3x + 5)
Combine like terms:
-6 - 5 = -11
Put in order:
5x4 + 3x3 - 8x2 + 3x - 11
Hope this helps
please helpp
me with this question and thank you
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{4x}{(x + 2)(x - 2)}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + 4} }[/tex]
Use the formula of a² - b² = ( a + b ) ( a - b )
[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + {2}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{(x + 2)(x - 2)}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{x - \cancel{2} + x + \cancel{ 2} + 2x}{(x + 2)(x -2 )} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{4x}{(x + 2)(x - 2)}} } [/tex]
Hope I helped!
Best regards! :D
What is 7-1-299-689+478*84588
Answer:
Hey there!
7-1-299-689+478*84588
7-1-299-689+40433064
40432082
Let me know if this helps :)
Answer:
40432082
Step-by-step explanation:
hopefully this helps
p=3g-7/k solve for g(plz show work
Answer:
Step-by-step explanation:
(3g - 7)/k = p
3g - 7 = pk
3g = pk + 7
g = (pk + 7)/3
Between 10pm and 7:45am, the water level in a swimming pool decreased by 3/8 in. Assuming that the water decreased at a constant rate, how much did the water level drop each hour?
Answer:
[tex]\frac{1}{26}[/tex] inches
Step-by-step explanation:
In order to solve this problem, we need to create a ratio.
Since we're looking for the rate per hour, we need to find how long it is from 10pm to 7:45am.
10pm + 2 hours = 12 AM
12 AM + 7.75 hours = 7:45 AM
So in total, it's 9.75 hours.
[tex]\frac{3}{8}[/tex] is the same as 0.375.
Our fraction will become [tex]\frac{0.375}{9.75}[/tex], which can simplify down to [tex]\frac{1}{26}[/tex].
Now we can create the proportion:
[tex]\frac{1}{26}=\frac{x}{1}[/tex]
Now we solve for x by cross multiplying.
[tex]1\cdot1=1\\\\1\div26=\frac{1}{26}[/tex]
Hope this helped!
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?
Answer:
2000
Step-by-step explanation:
Khan Academy :)
Answer:
2000
Step-by-step explanation:
bc
Evaluate the expression 2 4/5+1/2
Answer:
3 3/10
Step-by-step explanation:
Step 1: Convert 2 4/5 to improper
2 4/5 = 14/5
Step 2: Rewrite
14/5 + 1/2
Step 3: Find common denominator
14/5(2/2) + 1/2(5/5)
28/10 + 5/10
Step 4: Add
33/10
Step 5: Simplify
3 3/10
Answer:
3 3/10
Explanation:
2 4/5 + 1/2 [change 2 4/5 to an improper fraction]
14/5 + 1/2 [make both fractions have a common denominator]
28/10 + 5/10 [add the numerators, leave the denominator the same]
33/10 [change back into mixed number]
3 3/10
The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7 and up $4. What was the price of a share at the end of the day
Answer:
32
Step-by-step explanation:
A cyclist rides her bike at a rate of 21 kilometers per hour. What is this rte in kilometers per minute? How many kilometers will the cyclist travel in 5 minutes? Do not round your answers.
Answer: 0.35km per minute
Step-by-step explanation:
Divide by 60 because it was in "km per HOUR".
Rectangle T R E C is shown. Diagonals are drawn from point R to point C and from point E to point T and intersect in the middle. The distance from point R to the middle is 2 x minus 3 and the distance from the middle point to point C is x + 7. TREC is a rectangle. What is the length of ET? 10 units 17 units 20 units 34 units
Answer:
34 units
Step-by-step explanation:
Given a rectangle TREC, with RC and ET being the diagonal both intersecting at the middle, then the following are true;
Let O be the point of intersection of RC and ET;
RO+OC = RC
Given the distance from point R to the middle as 2 x - 3, then RO = 2x-3 and if the distance from the middle point to point C is x + 7, then OC = x+7
Since they intersect in the middle, RO = OC
2x-3 = x+7
Collect like terms
2x-x = 7+3
x = 10
RO = 2x-3
RO = 2(10)-3
RO = 17
since RO = OC, then OC = 17units
Note that both diagonal RC and ET inyetsect at the middle O hence diagonal RC = ET = RO+OC
RC = ET = 17+17
RC = ET = 34units
Hence the length of ET is 34 units
Answer:
34 units
Step-by-step explanation:
EDGE 2020-2021
a photo graph measuring 8cm by 6cm is enlarged by a ratio of 11 : 4 what are the dimensions of new print ?
Answer:
22cm and 16 1/2 cm is the answer
Write the ratio as a fraction and multiply with each dimension
If a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.
Given the following measurement of a photograph:
8 cm by 6 cmTo enlarge the photograph using a scale factor of 11:4 (11/4), multiply the scale factor by each of the dimensions.
Thus:
8 x 11/4 = 22 cm6 x 11/4 = 16.5 cmTherefore, if a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.
Learn more here:
https://brainly.com/question/14248094
-12+(-63)
Someone please help
Answer:
- 75Step-by-step explanation:
-12+(-63)
=-12 - 63
= - 75
Hope this helps.. Good luck :)
Please help, I don’t remember how to do this
Answer:
Step-by-step explanation:
(d - 8)/5 = p
d - 8 = 5p
d = 5p + 8
Which of the following circumstances would likely make completing the square th
best method for solving a quadratic equation?
The leading coefficient is 1 and the linear term coefficient is an even number
The leading coefficient is not 1 and the constant is large
The difference of 2 perfect squares
The difference of 2 perfect cubes
Answer:
The leading coefficient is 1 and the linear term coefficient is an even number
Step-by-step explanation:
Leading coefficient must be one for the application of completing square method. If the completing square is not one than we must apply other methods like Ac method, quadratic formula to solve the equation. To solve the equation with completing square the numerical value must be on other side of the equation. In this method we multiply linear term’s coefficient with one-half and square it therefore, completing square is suitable method for the equation having leading coefficient is 1 and linear coefficient is even.
how many fewer alligators were in bite swamp than in chomp lake and reptile creek combined
Answer:
4
Step-by-step explanation:
ik it
Answer:
The answer is 4
Step-by-step explanation:
The answer is 4 because i did it on khan and it was right.
Solve 48=4b-4(4b-3) and show work.
Answer:
Step-by-step explanation:
4b - 16b + 12 = 48
-12b + 12 = 48
-12b = 36
b = -3
What is the Inverse Equation
f(x) =6x-1 ?? please I need help!
Answer:
[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=6x-1[/tex]
To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:
[tex]f(x)=6x-1[/tex]
Switch:
[tex]x=6f^{-1}(x)-1[/tex]
Add 1 to both sides:
[tex]x+1=6f^{-1}(x)[/tex]
Divide both sides by 6:
[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]
And that's our answer :)
What is 80% MORE than $52.50? (Brainliest for full explanation)
Answer:
$94.5
Step-by-step explanation:
What is 80% MORE than $52.50?
just multiply $52.50 by 1.80 = $94.5
why multiply by 1.80? ---- because we are adding 80% of 52.5 + the original price... that is why its 1.80.
Write and solve an equation for the situation. The perimeter of a parallelogram is 48 meters. The width of the parallelogram is 8 meters less than its length. Find the length and the width of the parallelogram.
Answer:
length=16 and width = 8
Step-by-step explanation:
p= 2(length + width) ........ p= 48 m
width=length-8
48=2(length + length -8)
48= 2(2length -8)
48= 4 length-16
48 +16 = 4 length
[tex] \frac{64}{4} = length [/tex]
length =16
Width = length - 8
width = 16 - 8
width = 8
Hope u like it
For any question comment me
What is the interquartile range of the data in the box plot below?
Plz help!
Answer:
12
Step-by-step explanation:
Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)
From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,
the third quartile is located at the other edge of the rectangular box to your right = 85
[tex] IQR = 85 - 73 = 12 [/tex]
A pie eight pieces. If Tim cuts out five pieces, and gives two to Moby, what
fraction represents the number of pieces
Tim has left?
A.)3/8
B.)2/8
С.)5/2
D.)8/3
Explain two ways you can use a number line to order the integers –3, +1, and –10. PLEASE ASAP
Answer:
Step-by-step explanation:
From least to greatest: -10, -3, +1. From greatest to least: +1, -3, -10.
1st way: Just look at it.
2nd way: See which numbers are to the left of 0 on the number line. Those are your smaller (negative) numbers. The numbers that are on the right side of 0 are your bigger (positive) numbers.
Answer:
Order by value: On a number line, the integers to the left are less than the integers to the right. Order by magnitude: On a number line, the integers farther from zero have a greater magnitude. Least to greatest value: –10, –3, +1. Least to greatest magnitude: +1, –3, –10.
Step-by-step explanation:
Which did you include in your response? Check all that apply.
You can order by value.
You can order by magnitude.
Ordering from least to greatest value, the list is –10, –3, +1.
Ordering from least to greatest magnitude, the list is +1, –3, –10.
Someone please help me
This is not a function. The input 7 in set A maps to outputs -1 and -3 at the same time in set B, which is why we don't have a function.
For a function to be possible, each input must map to exactly one output only.
how many fewer alligators were in bite swamp than in chomp lake and reptile creek combined
Answer:
4
Step-by-step explanation:
|-10| evaluate the expression
Answer:
10
Step-by-step explanation:
Absolute value stands for how far away a number is from 0 on the number line. In this case it is 10 jumps away or 10. Not negative 10 because that wont make sense.
Answer:
10
Step-by-step explanation:
The lines around -10 are basically asking how far the number inside is from 0. This goes for any number, negative or positive.
Knowing that information, just ask yourself what's 10-0?
10.
Using the digits 0-9, at most one time each, create five ordered pair that represent a linear
function that has a greater rate of change than the following (explain how u got that answer)
Answer:
(-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4)
Step-by-step explanation:
From the graph attached,
Ordered pairs which lie on the given line (-9, 0), (0, 3), (3, 4), (6, 5) and (9, 6).
Since all the points lie on the same line, rate of change of the linear function will be defined by the slope of the given line.
Slope of the line passing through (0, 3) and (3, 4) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{4-3}{3-0}[/tex]
[tex]m_1[/tex] = [tex]\frac{1}{3}[/tex]
Now we have to find the ordered pairs which represent a linear function having slope greater than [tex]\frac{1}{3}[/tex].
So the points will be (-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4).
Slope of the linear function passing through (-9, 0) and (-8, 1)
[tex]m_2[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1-0}{-8+9}[/tex]
= 1
Here [tex]m_2>m_1[/tex]
the data set represents the shoe sizes of 19 students in a fifth grade physical education class 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9 a. create a box plot to represent the distribution of the data
Answer:
The minimum value = 4
The maximum value = 9
The first quartile, Q₁ = 6
The second quartile, (median) Q₂ = 7
The third quartile, Q₃ = 8
The box plot showing the above data is attached
Step-by-step explanation:
The given data set is 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9
From the data, we have;
The minimum value = 4
The maximum value = 9
The first quartile, Q₁ = (n + 1)/4th term = (19 + 1)/4 = the 5th term = 6
The second quartile, (median) Q₂ = (n + 1)/2 term = (19 + 1)/2 = the 10th term = 7
The third quartile, Q₃ = 3×(n + 1)/4th term = 3×(19 + 1)/4 = the 15th term = 8
Please find the attached box plot as plotted on Excel.
evaluate 3+jk+k^3 when j=2 and k=6
Answer:
[tex]231[/tex]
Step-by-step explanation:
[tex]3 + jk + k {}^{3} = 3 + 2(6) + 6 {}^{3} = 3 + 12 + 216 = 231 [/tex]
Answer:
231Step-by-step explanation:
[tex]3+jk+k^3\\\\j = 2\\k=6\\\\3+ 2(6) + 6^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:6^3\::\quad 216\\=3+2\left(6\right)+216\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(6\right)\::\quad 12\\=3+12+216\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+12+216\:\\:\quad 231[/tex]
(8u3 + 2u2 + 7) + (3u3 – 7u + 8)
Answer: 11u^3+2u^2−7u+15
Step-by-step explanation: Hope this helps.