The expression (-3 1/3 + 3 1/2) ÷ (-1/4) is a division of a positive numerator by a negative denominator, and thus the quotient is negative.
What is an expression?
In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a quantity or a mathematical relationship between quantities.
To determine whether the value of the expression (-3 1/3 + 3 1/2) ÷ (-1/4) is positive or negative, we need to analyze the signs of the numerator and denominator.
First, let's convert the mixed numbers to improper fractions:
-3 1/3 = -10/3
3 1/2 = 7/2
So the expression becomes:
(-10/3 + 7/2) ÷ (-1/4)
Now let's analyze the signs:
The numerator is the sum of two fractions with different signs, so we need to subtract their absolute values and use the sign of the larger one.
|10/3| = 10/3 and |7/2| = 7/2, so the larger fraction is 10/3.
-10/3 + 7/2 = (-20 + 21) / 6 = 1/6, so the numerator is positive.
The denominator is negative because it is a fraction with a negative denominator.
Therefore, the expression (-3 1/3 + 3 1/2) ÷ (-1/4) is a division of a positive numerator by a negative denominator, and thus the quotient is negative.
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1. In the expression 3x+5, how many terms are there?
(4 Points)
One
Two
Three
Four
which of the following situations has a straight line doesn't pass through the origin?
a) X and Y are in a proportional relationship
b) y= 10 + 250
c) David and $15 to his savings account each month
d) every five t-shirts cost $12
Answer:
a or c
Step-by-step explanation:
hope i helped sorry if not?! have a wonderful day! :)
six teams are out on the field playing soccer. the team all have the same number of players.
Here's link to the answer:
cutt.us/tWGpn
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
-118,098
-3,072
-6,144
-354,294
subtract (4x^2 - x+6 from (3x^2+5x-8 ) ?
Answer:
-x^2+6x+2
Step-by-step explanation:
1. Calculate
3x^2+5x-8-4x^2+x-6 = -x^2+6x+2
The nth term of a sequence is 3n + 5
Write down the 5th and 6th terms of the sequence.
Answer:
5th term=20 6th term=23
Step-by-step explanation:
okay so its going up in 3
starting from 8
8,11,14,17,20,23
The system shown is
• Inconsistent
• equivalent
© consistent
Answer:
Consistent
Step-by-step explanation:
A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
f(x) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80
Answer:
f(x) = -4x + 80
Step-by-step explanation:
You are given two points,
(5, 60) and (10, 40)
in order to get the equation, let's use the form slope-intercept form
m = (y1 - y2) / (x1 - x2)
m = (60 - 40) / (5 - 10)
m = 20/-5
m = -4
Get the x intercept
y = mx + b
60 = (-4)(5) + b
b = 60+20
b = 80
so the equation is
y = -4x + 80
f(x) = -4x + 80
Answer:
c
Step-by-step explanation:
f(x)=-4x+80
Can someone tell me the answer, please?
Answer:
Rose bouquets
Step-by-step explanation:
Please mark me branliest?!?!
Help ASAP!!!!!!! It’s to confusing
Answer:
every one equals 32
Step-by-step explanation:
Every hour equals 32 tickets sold
Answer:
32
Step-by-step explanation:
all equal 32
what is the 5th significant number of 24.98063
Answer:Look at the 2nd significant digit that the number has.
In a decimal, the first significant digit is the first non-zero digit. The 2nd significant digit is the digit after the first.
if it is less than 5 then round the number down by removing the rest of the number after the 1st significant digit and filling in with zeros;
if it is 5 or more then round the number up by adding one on to the 1st digit and removing the rest of the number and filling in with zeros.
Step-by-step explanation:
8726 rounds up to 9000, because the 2nd significant digit is a 7.
73.283 rounds down to 70 because the 2nd significant digit is a 3.
152 rounds up to 200 because the 2nd significant digit is a 5.
0.003826 rounds up to 0.004 because the 2nd significant digit is an 8.
0.60828 rounds down to 0.6 because the 2nd significant digit is a 0.
Find the measure of
major arc FGH.
(21x-2
.
Ін
F
38x + 5
go to (-3, 4)
А
go to (-8,4)
a) 2330
b) 124°
c) 300°
d) 1220
e) 2389
go to (5,3)
go to (4.6)
go to (-7, -1)
Answer:
E is the answer
Step-by-step explanation:
This is a cyclic quadralterial so 21x-2 and 38x+5 is supplementary since they are opposite angles.
[tex]21x - 2 + 38x + 5 = 180[/tex]
[tex]59x + 3 = 180[/tex]
[tex]59x = 177[/tex]
[tex]x = 3[/tex]
Substitute 3 into angle A
[tex]38(3) + 5 = 119[/tex]
Since HA, is the intercepted arc of Angle G Angle G is twice the size of Arc HA,
Angle G=238
Which TWO representations show the same function
(picture included)
For , the measure in degrees of angles , , and are 86, 32, and 3 + 5 respectively. What is the value of ? help pls
Answer:
need the points for a question
A rectangular prism has dimensions of 1/3, 3, and 5/3 in.
Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
What is the volume of the prism? Explain.
How many cubes with the edge length from part (a) will fit into the prism? Explain.
please don't answer if you have no answer for this, it wastes time and makes it harder for others to get the help they need, thank you.
Answer:
Step-by-step explanation:
The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when
[tex]s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in[/tex]
POSSIBLE POINTS. 10
A cylinder shaped pipe is 15 inches long and has a diameter of 10 inches. What is the lateral surface area of the pipe in square Inches? (Use
3.14 for )
O 471 in 2
O 235.5 in 2
O 628 in2
O 942 in 2
Answer:
third one
Step-by-step explanation:
can you help me with my question In the extended simile of the underlined passage from Paragraph 15 of "A Wagner Matinee," the narrator makes an observation about the soul that aring rokol been A. it is like a strange moss on a dusty shelf that, with excruciating suffering, can wither and die y for I the be B though after excruciating suffering it may seem to wither, the soul never dies, C. excruciating, interminable suffering that goes on for half a century can kill the soul.
A building casts a 48 foot shadow on the ground. If you stand at the end of the shadow and look towards the building and the sun, the angle of elevation to the sun is 35.3º. Which expression can you use to find the height of the building?
Answer:
5643/494-6494_x error45H5Y09B9,Gn94365
Step-by-step explanation:
ERRORRRRR
Find the value of x.
Answer:
X = 9
okay If I'm wrong sry what's 9x3 it's 45 right ( me not using a caluctalter ) ( I didn't even spell that Right lol ) but anyways it's X=9
If tan(A + B) = √3 and tan(A - B) = 1/√3; 0° < A + B ≤ 90° ; A > B, find A and B.
Pls answer it correctly..
Sol➜
We have, tan(A + B) = √3
⇒ tan(A + B) = tan60°
∴ A + B = 60° -----[i]
Again, tan(A - B) = 1/√3
⇒ tan(A - B) = tan30°
∴ A - B = 30° -----[ii]
Now, Adding [i] and [ii], we get
A + B + A - B = 60° + 30°
2A = 90° ⇒ A = 45°
Putting the value of A in [i], we have
45° + B = 60°
∴ B = 60° - 45° = 15°
Hence, A = 45° and B = 15°.
Answer:
[tex] \displaystyle A = {45}^{ \circ} \\ B = {15}^{ \circ}[/tex]
Step-by-step explanation:
we are given two equation and condition
[tex]\displaystyle \begin{cases}\tan(A+B)=\sqrt{3} \\ \tan(A - B) = \dfrac{1}{ \sqrt{3} } \end{cases}( {0}^{ \circ} < A+B < {90}^{ \circ} ) \: \text{and} \: A > B[/tex]
let's work with first equation
recall unit circle so A and B should be in Q:I
[tex] \displaystyle \: A+B = \arctan( \sqrt{3} )[/tex]
[tex] \displaystyle \: A+B = {60}^{ \circ} \cdots \: \text{I}[/tex]
let's work with second equation:
[tex] \displaystyle \: \tan(A - B) = \frac{1}{ \sqrt{3} } [/tex]
[tex] \displaystyle \: A - B = \arctan(\frac{1}{ \sqrt{3} } )[/tex]
[tex] \displaystyle \: A - B = {30}^{ \circ} \cdots \: \text{II}[/tex]
now let's use elimination method to figure out A and B
to do so combine equation I and II
[tex] \displaystyle \underline{\begin{array}{c c c}A+B = {60}^{ \circ} \\ A - B = {30}^{ \circ} \end{array}} \\ 2A = {90}^{ \circ} [/tex]
divide both sides by 2:
[tex] \displaystyle \: \frac{2 A}{2} = \frac{ {90}^{ \circ} }{2} \\ A = {45}^{ \circ} [/tex]
substitute the value of A to the second equation:
[tex] \displaystyle \: {45}^{ \circ} - B = {30}^{ \circ} [/tex]
cancel 60° from both sides:
[tex] \displaystyle \: - B = { - 15}^{ \circ} [/tex]
divide both sides by -1
[tex] \displaystyle \: B = {15 }^{ \circ} [/tex]
hence,
[tex] \displaystyle \: A = {45}^{ \circ} \\ B = {15}^{ \circ} [/tex]
Which graph has a slope that is unit greater than the slope of the graph
of y-x-2?
Answer: C
Step-by-step explanation: Its pretty obvi
A line's slope indicates how steep it is. The slope is defined as "rise over run" in mathematics (change in y divided by change in x).
Graph Function:Function's of Graph is collection of all points in the plane of the form [tex]\bold{(x, f(x))}[/tex] constitutes the same graph of a function f. The graph of f can also be defined as the graph of the equation [tex]\bold{y = f(x)}[/tex]. As a result, a function's graph is a subset of an equation's graph.In the given graph equation when we put the slope value it will matches the graph c that's why the correct choice is "graph c".
Please find the correct graph file in the attachment.
Find out more about the slope here:
brainly.com/question/3605446
Answer for brainliest.
Answer:
2880 in^3
Step-by-step explanation:
since 6 times 2 is 12 then you multiply 1440 times 2 as well :)
Mark me brainlyiest pls :)
Answer: [tex]720^{3}[/tex]
Step-by-step explanation: plz mark me brainliest
Find the quotient: 23 ½ ÷ ¼ =
Answers:
23 2/6
23
23 1/8
94
Answer:
The answer is d: 94
Step-by-step explanation:
3y - 21 = 12x
Help please
A 960-square-foot apartment in New York City costs $540,000. What is the price per square foot? $
Answer:
The price per square foot is $468.75
Step-by-step explanation:
You would take the price and divide it by the square footage.
540,000
------------- = 468.75
960
The symbol used in the statement that relates the sides or angles looks like what?
PLEASE HELPPPP MEEE, PLEASE ANSWER ALL OF THE QUESTIONS!!!!!
Answer:
What question?
Step-by-step explanation:
I don't see a question do you?
나는 이미 이것을했다
yeah, I'll answer them as long as i know the answer:)
7.
Use the formula d = rt. Find t for r = 46.6 m/h and d = 456.68 m.
A. 9.8 h
B. 0.1 h
C. 410.08 h
D. 21,281 h
Answer:
A. 9.8 h
Step-by-step explanation:
1. Use the formula d = rt. Find t for r = 46.6 m/h and d = 456.68 m. Show your work.
2. Express 0.578 in words
1. d = rt
456.68 = 46.6 times t
divide both sides by 46.6 to get 9.8
So the time is 9.8
2. 0.578 is five hundred seventy-eight thousandths
Hope this helps
For the first problem all you have to do is plug in r and d in the equation and solve for t. So here is how we do that:
d=rt
546.68=46.6t
11.73=t
All we did there was divide both sides to isolate t (get t by itself).
For the second one you just need to know the places after the decimal point. The first spot is the tenths, the second is the hundredths, and the third is the thousands. So you would read 0.578 as:
Five-hundred and seventy-eight thousandths.
Substituting:
456.68 = 46.6t, so, dividing ach side by 46.6:
t = 456.68/46.6, so
t = 9.8
2. nought point five seven eight.
Determine if each statement is true or false based on the diagram.
Answer:
Step-by-step explanation:
1). JL = 36
Reason : Since, PN is the segment joining midpoints of sides JK and LK,
Therefore, JL = 2(PN)
JL = 2(36)
JL = 72
False.
2). ML = 36
Reason: Since, ML = [tex]\frac{1}{2}(JL)[/tex]
ML = [tex]\frac{1}{2}(72)[/tex]
= 36
True.
3). MP = 48.5
Reason : By the same property, MP = [tex]\frac{1}{2}(LK)[/tex]
MP = [tex]\frac{97}{2}[/tex]
MP = 48.5
True.
4). ∠JLK = 102°
Reason: Segment joining midpoints of two sides of a triangle is parallel and measures half of the third side of the triangle.
Since, PM║LK and JL is a transversal line,
∠JMP ≅ ∠JLK [Corresponding angles]
m∠JLK = 102°
True.
5). ∠PNK = 102°
Reason : Since, PN║JL and LK is a transversal line,
∠JLK ≅ ∠PNK [Corresponding angles]
∠PNK = 102°
True.
6). MP║PK
Reason : MP and PK are intersecting each other at P.
Therefore, they can not be parallel.
False.
Decrease £101 by 43%
Answer:
Step-by-step explanation:
100-43=57%
57/100 x 101
0.57 x 101
£57.57
or
43/100 x 101
0.43 x 101
43.43
100-43.43
=£57.57
A flat rate shipping box is in the shape of a rectangular prism. You estimate that the volume of the box is 350 cubic inches. You measure the box and find that it has
a length of 10 inches, a width of 9 inches, and a helght of 4.5 inches. Find the percent error. Round your answer to the nearest tenth of a percent.
The percent error is about %.
Answer:
13.6%
Step-by-step explanation:
Step 1
Find the actual volume of the box
Volume = Length × Width × Height
You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a helght of 4.5 inches.
Volume = 10 inches × 9 inches × 4.5 inches
Volume of the box = 405 cubic inches
Step 2
Calculate the percent error
|Estimated value - Actual value|/Actual value ×100
Estimated value= 350 cubic inches
Actual value = 405 cubic inches
= |350 - 405|/405 × 100
= |-55|/405 × 100
= 55/405 × 100
= 13.580246914%
Approximately = 13.6%
The Percent error is 13.6%