1) 1 17/45
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
31/3 ÷ 15/2
Applying the fractions formula for division,
= 31 × 2/3 × 15
= 62/45
Simplifying 62/45, the answer is
1 17/45
2) 13/17
First:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
13/2 ÷ 17/2
Applying the fractions formula for division,
= 13 × 2/2 × 17
= 26/34
Simplifying 26/34, the answer is
13/17
3) 1 19/96
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
23/3 ÷ 32/5
Applying the fractions formula for division,
= 23 × 5/ 3 × 32
=115/96
Simplifying 115/96, the answer is
1 19/96
What is equivalent to 114-201
Answer:
-87
Here ya go :)
How many students spent less than 61 mins studying
6
11
12
17
Answer: 17
Step-by-step explanation:
Form a polynomial whose real zeros and degree are given.
Zeros: -1, 0, 4;
degree: 3
Answer:
f(x)=x(x-3) x (x+4) x (x-9
Step-by-step explanation:
your function in factored form
The polynomial whose real zeros and degree are given is f(x) = x³ - 3x² - 4x
How to form the polynomial?The given parameters are:
Zeros: -1, 0 and 4Degree = 3Rewrite the zeros as:
x = -1, x = 0 and x = 4
Set the zeros to 0
x + 1 = 0, x = 0 and x - 4 = 0
Multiply the zeros
(x + 1) * x * (x - 4) = 0 * 0 * 0
Multiply the factors
(x² + x) * (x - 4) = 0
Multiply the factors
x³ - 4x² + x² - 4x = 0
Evaluate the like terms
x³ - 3x² - 4x = 0
Express as a polynomial function
f(x) = x³ - 3x² - 4x
Hence, the polynomial whose real zeros and degree are given is f(x) = x³ - 3x² - 4x
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Find the slope of the line that contains the points (2,5) and (4,8).
Answer: Slope = 3/2 or 1.5
Answer: y= 1.5 x+2 or y=3/2x+2
Step-by-step explanation:Slope (m) =
ΔY
ΔX
=
3
2
= 1.5
θ =
arctan( ΔY )
ΔX
= 56.30993247402°
ΔX = 4 – 2 = 2
ΔY = 8 – 5 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
y = 1.5x + 2
or
y =
3 x
2
+ 2
When x=0, y = 2
When y=0, x = -1.3333333333333
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y= [tex]\frac{5}{6} x[/tex] + 4
Step-by-step explanation:
Pick two points: (-6,-10) and (0,4)
Then solve for m (slope): I picked (0,4)
[tex]m= \frac{4-(-1)}{0-(-6)} =\frac{5}{6}[/tex]
Then put in slope intercept form:
4= [tex]\frac{5}{6} (0)[/tex] + b
4=b
Then put in final form:
y= [tex]\frac{5}{6} x[/tex] + 4
Hope this helps!
Answer:
y=5/6x+4
Step-by-step explanation:
Appreciate all the help :)
Which matrix multiplication is defined?
Answer:
c. BC
Step-by-step explanation:
It is the possible one
What answer B?
I’m confused
Answer:
about 35 mins
Step-by-step explanation:
Which of these functions have a domain of all real numbers?
Answer:
I think it's A. I may be wrong tho.
Answer: A. Functions f, g, and h
Step-by-step explanation: Plato answer
30. You can work at most 25 hours next week. You need to earn at least $85 to cover your gas and food
expenses. Your babysitting job pays $7.50 per hour and your math tutoring job pays $6 per hour.
a) Define your variables.
b) Write two inequalities that represent the constraints of the scenario.
he difference of 29 and n
Answer:
absolute value of n - 29
Step-by-step explanation:
n - 29
show that P(x)=x³-6x²+11x-6 is divisible by x-1.
HERE IS YOUR ANSWER MATE
HOPE ITS HELPFUL
HAVE A GREAT FUTURE
LOVE FROM INDIA
Hello haohaoxNienie!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]
To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
So, let's do the division (steps in the attached picture).
__________________
We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
More steps :-x² - 5x + 6
= (x - 3) (x - 2) [use the splitting the middle term method].
So, the zeroes are,
(x - 3)
x - 3 = 0
x = 3 ⇨ 1st zero.
(x - 2)
x - 2 = 0
x = 2 ⇨ 2nd zero.
Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
p(x) = x³ - 6x² + 11x - 6
p(3) = 3³ - 6(3)² + 11 (3) - 6
p(3) = 27 - 54 + 33 - 6
p(3) = 0.
p(x) = x³ - 6x² + 11x - 6
p(2) = 2³ - 6(2)² + 11 (2) - 6
p(2) = 8 - 24 + 22 - 6
p(2) = 0
Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
Hope it'll help you!
ℓu¢αzz ッ
Can somebody solve this for me?
Answer:
Area of rectangle = L x W
Step-by-step explanation:
A = L x W
L = 18
W = 10 + 5
so,
A = 18 x (10+5)
A = 18 x 15
A = 270
NEED MORE HELP DUE TOMMOROW ONLY HAVE 15 POINTS SO ITS GOTTA BE 10 CUZ I GOT OTHER QUESTIONS THAT NEED ANSWERING
Answer:
a: 00:45
b: 7:30 PM
Step-by-step explanation:
Hope this is right
Amy contributes $50 per month into the Lincoln National Bond Fund that earns 7.26% annual interest.What is the value of Amy’s investment after 25 years?
Answer:
Inc Interest : $16,089
Step-by-step explanation:
1. Let's turn $50 a month into a year, so 50 * 12 = $600
2. Including the annual interest, which is $43.56 out of the $600
3. Add them together, which will be 43.56 + 600 = 643.56
4. Multiply it by 25 to get the full 25 years and you're done!
The value of Amy's investment after 25 years will be $140.75.
What is simple interest?Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest. The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest.
Given that, Amy contributes $50 per month to the Lincoln National Bond Fund which earns 7.26% annual interest.
The investment after 25 years will be calculated as,
SI = ( P x R x T)/100
SI = ( 50 x 7.26 x 25 ) / 100
SI = $90.75
The total investment will be calculated as,
A = $90.75 = $50
A = $140.75
Therefore, the value of Amy's investment after 25 years will be $140.75.
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Find the slope of each line.
Answer:
Slope: - 5/2
Step-by-step explanation:
How do I convert 1 5/6 into a decimal??????
Answer:
1.8(3) (three is a repeating number)
Step-by-step explanation:
Divide the numerator from the denominator. Add the value of the integer part.
Answer:1.83
Step-by-step explanation:
so the 1 that's a whole number and 5 out of 6 should be around 82-85 but for real its 1.83 but its a repeating decimal so its like 1.83333
Marques is a waiter at a restaurant. Each day he works, Marques will make a
guaranteed wage of $25, however the additional amount that Marques earns from
tips depends on the number of tables he waits on that day. From past experience,
Marques noticed that he will get about $14 in tips for each table he waits on. How
much would Marques expect to earn in a day on which he waits on 17 tables? How
much would Marques expect to make in a day when waiting on t tables?
Answer:
Step-by-step explanation:
25- guaranteed
$14 on each table waited on
He waited on 17.
17x14= $238 tips
238+25= $263
1. Marques expects to earn $263 on 17 tables
2. He expects to make 25+14t per day.
Find the quotient of 902÷27
(It has a remainder)
Answer:
The quotient of 902 divided by 27 equals 33 and the remainder is 11.
What is the mass of an object with a density of 3 g/mL and a volume of 112.5 mL? Show all work.
Answer:
337.5
Step-by-step explanation:
Based on the given conditions, formulate 3 112.5
Calculate the product or quotient: 337.5
Plssssssssssssssssssssssss
Answer:
16/5[tex]\sqrt{5\\}[/tex] 6/7-3Answer:
Greatest:
16/5
/5
-3
6/7
I think, I am no t sure
the value of x - y is
Answer:
Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair
Solve the equation.
y + 6 = -3y + 26
O y=-8
O y=-5
O y = 5
O y = 8
The solution of Equation is y=5.
The correct option is C.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
y+ 6 = -3y + 26
Now, solving for y we get
y + 3y= 26 - 6
4y= 20
y= 20/4
y= 5
Thus, the value of y is 5.
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Can someone help me please thank you
Di ko alam Yan sorry
Step-by-step explanation:
Bobo ako eh ML nalng Joke lang Tanong nalng kayo Ng iba
Answer:
152
Explination:
this is answer
Brainliest answer: thx(:
A company’s stock was selling at $20 a share. A month later, it was selling at $26 a share. What is the percent gain
Answer:
The percent gain would be 77952515`0%
when reporting descriptive data such as the mean, what additional information should also be reported that expresses how different the scores are in the distribution?
Please help me this question
Answer:
Angle C = 48°Step-by-step explanation:
Kites have one pair of congruent angles.
In this case it is B and D:
m∠B = m∠D5x - 147 = 2x5x - 2x = 1473x = 147x = 49Find the measure of B and D:
m∠B = 2*49 = 98°Find the measure of angle C:
m∠C = 360 - 2*98 - 116 = 48°The smallest angle is C
find the slope of the line through the given points (1,1) (4,-1)
Answer:
hope it helps
.............
10 points
Jason is pulling a box across the room. He is pulling with a force of 15 newtons and his arm is making a 66 angle with the horizontal, what is the vertical component of the force he
is pulling with
Type your answer...
9514 1404 393
Answer:
13.7 N
Step-by-step explanation:
The vertical component of the force is ...
(15 N)sin(66°) ≈ 13.7 N
Anyone pls answer this question.
Can somebody help me find the volume?
You have a beaker of 20 mL of water. You place a rock in this beaker and the water rises to 30 mL. What is the volume of the rock?
thx if u can help. I don't fully understand this
Answer:
Hi, I believe the volume of the rock would be 10 mL.
If the beaker originally had 20 mL of water and then the rock turned it to 30 mL, subtract 20 from 30 and you get 10mL
Hope this helps!!!
The volume of the rock is 10 mL as per the concept of subtraction.
To find the volume of the rock, we can use the principle of displacement. When the rock is placed in the beaker, it displaces a certain volume of water equal to its own volume.
The increase in water level from 20 mL to 30 mL represents the volume of the rock.
The volume of the rock = Final volume of water - Initial volume of water
Volume of the rock = 30 mL - 20 mL = 10 mL
Therefore, the volume of the rock is 10 mL. The rock occupies an additional 10 mL of space in the beaker when submerged in the water.
This principle of displacement is based on the fact that the total volume of water and the rock combined remains the same as the initial volume of water in the beaker. By measuring the difference in water levels before and after adding the rock, we can determine the volume of the rock.
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