Answer:
The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]
Option B is correct option.
Step-by-step explanation:
We need to change the mixed number to improper & use KCF to rewrite the question.
The expression is: [tex]3\frac{1}{2}\div\frac{1}{3}[/tex]
First converting mixed fraction into improper fraction
Multiply whole number with the denominator i,e (3*2=6) now add the numerator i.e (6+1) = 7/2
Solving:
[tex]3\frac{1}{2}\div\frac{1}{3}\\=\frac{7}{2}\div\frac{1}{3}[/tex]
Using KCF
KCF stands fro Keep it, Change it, Flip it.
It is used when division sign is converted to multiplication the term (1/3) is reversed to (3/1)
So, our expression will be
[tex]=\frac{7}{2}\times \frac{3}{1}[/tex]
So, The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]
Option B is correct option.
−8(y+9)=−40 What does y equal
Last year the total revenue for Clearline phone company was $13.7 million while the revenue for its competitor,the Speakmore was$10.8 million. What is the absolute difference and relative difference?
The absolute difference is estimated as $2.9 million and relative difference is calculated as 26%.
What is defined as the absolute change?The absolute change refers to the actual increase or decrease from the a reference value to a new value:
absolute difference = new value - reference value
In the given question, the reference value is given as $10.8 million.
The new value is $13.7 million.
absolute difference = 13.7 - 10.8
absolute difference = 2.9
Thus, the absolute value if estimated as $2.9 million.
What is defined as the relative difference?The absolute difference is described as a fraction of a reference value by the relative difference:
The formula for calculating the relative difference is;
relative difference = (new value - reference value)/reference value
relative difference = absolute difference/reference value
Substituting the values;
relative difference = 2.9/10.8
relative difference = 0.26
relative difference% = 0.26×100%
relative difference = 26%.
Thus the relative difference is estimated as 26%.
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Find the missing angle x. Round to the nearest whole number.
7
15
.ro
Not drawn to scale
Show that the set of points that are twice as far from the origin as they are from (2, 2, 2) is a sphere. Find the center and radius of this sphere.
Answer:
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and radius [tex]\dfrac{4 \sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given that: (x,y,z)
where;
d₁ is the distance from the origin = [tex]\sqrt{x^2+y^2+z^2}[/tex]
d₂ is the distance from (2,2,2) = [tex]\sqrt{(x-2)^2+(y-2)^2+(z-2)^2}[/tex]
Also;
d₁ = 2d₂
[tex]\sqrt{x^2 + y^2 +z^2 } = 2 \sqrt{(x-2)^2 +(y-z)^2+(z-2)^2}[/tex]
By squaring both sides;
[tex]x^2 + y^2 +z^2 = 2^2((x-2)^2 +(y-z)^2+(z-2)^2)[/tex]
[tex]x^2 + y^2 +z^2 = 4(x-2)^2 +4(y-z)^2+4(z-2)^2[/tex]
[tex]x^2 + y^2 +z^2 =4(x^2 -2x -2x +4) + 4(y^2 -2y -2y +4) + 4(z^2 -2z-2z+4)[/tex]
[tex]x^2 + y^2 +z^2 =4x^2 -16x +16 + 4y^2 -16y +16 + 4z^2 -16z+16[/tex]
Collect the like terms:
[tex]0 = 4x^2 -x^2 -16x +16 + 4y^2 -y^2 -16y +16 +4z^2 -z^2 -16z +16[/tex]
[tex]0 = 3x^2 -16x +16 + 3y^2 -16y +16 +3z^2 -16z +16[/tex]
Divide both sides by 3
[tex]\dfrac{0}{3} = \dfrac{3x^2 -16x +16}{3} + \dfrac{3y^2 -16y +16 }{3} + \dfrac{ +3z^2 -16z +16}{3}[/tex]
[tex]0 = {x^2 - \dfrac{16x}{3} +\dfrac{16}{3} + {y^2 - \dfrac{16y}{3} +\dfrac{16}{3}+{z^2 - \dfrac{16z}{3} +\dfrac{16}{3}[/tex]
Using the completing the square method;
[tex]3(\dfrac{160}{9}) -16 = {x^2 - \dfrac{16x}{3} +\dfrac{160}{9} + {y^2 - \dfrac{16y}{3} +\dfrac{160}{9}+{z^2 - \dfrac{16z}{3} +\dfrac{160}{9}[/tex]
[tex]\dfrac{16}{3}= (x - \dfrac{8}{3})^2+ (y - \dfrac{8}{3})^2+ (z - \dfrac{8}{3})^2[/tex]
∴
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and ;
radius; [tex]\sqrt{\dfrac{16}{3}}[/tex]
[tex]= \dfrac{4 \sqrt{3}}{3}[/tex]
Please help work needs to be shown please help yall
Answer:
Sorry to say but I don't see any material.
Step-by-step explanation:
Order these expressions from least to greatest.
LEAST
= 15²
= 30²
= 13²
= 10³
= 7.6²
Six more than 7 times a number equals 10 times the number minus 12.
Answer: 64
Step-by-step explanation:
Answer:
7x + 6 = 10x - 12
Step-by-step explanation:
x = the number
six more than is +6
7 times a number is 7x
10 times the number is 10x
and minus 7 is -7
30 points and brinliest answer! A group of friends go to a family fun park. The park has games and rides.
Arabella plays 6 games and rides 4 rides for $22.00.
Xavier plays 4 games and rides 8 rides for $32.00.
What is the cost, in dollars and cents, of playing 1 game, to the nearest cent?
Answer:
It costs $1.50 or $1 and 50cents to play one game
Step-by-step explanation:
let x represent cost of games and y represent cost of rides
6x+4y=$22——equation 1
4x+8y=$32——equation 2
Multiply equation 1by 2
2(6x+4y=$22)=12x+8y=$44
Subtract equation 2from 1 to eliminate y
12x-4x+8y-8y=$44-32
8x=$12
x=$12/8=$1.5
Plug in x=1.5 into equation 2
4($1.5)+8y=$32
8y=$32-$6
8y=$26
y=26/8=$3.25
Two dogs ate 5 cans of dog food in 3 days. Based on this information, which proportion can be used to find c, the number of cans of food these dogs will eat in 1 week?
Answer:
(3÷5)7
Step-by-step explanation:
46 cubes are shaded out of 100. What is the ratio
Answer:
46/100 or 23/50
Step-by-step explanation:
The table below shows the February balance of a simple interest savings account each year from 2015 to 2021 (7)
Do the balances form an arithmetic or geometric sequence?
What is the d or the r?
Write a formula for the balance in the account n years after February 2015.
Find the sum of the February balances from 2015 to 2032, inclusive.
As the difference between consecutive terms is the same, the balances form an arithmetic sequence, and:
The common difference is d = 2018.The formula for the balance is: [tex]a_n = 12000 + 2018(n - 1)[/tex]The sum of the balances from 2015 to 2032 is of 478,488.What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms is given by:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
From the table, the first term and the common difference are given as follows:
[tex]a_1 = 12000, d = 2018[/tex]
Hence the formula for the balance in the account n years after February 2015 is:
[tex]a_n = 12000 + 2018(n - 1)[/tex]
2032 is 17 years after 2015, hence:
[tex]a_{17} = 12000 + 2018(17 - 1) = 44288[/tex]
The sum is given by:
[tex]S_{17} = \frac{17(12000 + 44288)}{2} = 478,488[/tex]
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Which statement about the figure is false?
Answer:
what are the options and the figures???
Step-by-step explanation:
what's the square root of -45?
a) -9√5
b) 9i√5
c) -3√5
d) 3i√5
Answer:
c
Step-by-step explanation:
Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent
On Monday, the coldest temperature outside was $2$ degrees Fahrenheit. On Tuesday, Ms. Perkins tells her students that the coldest temperature outside has an absolute value of $4$ degrees.
Rachel says that Tuesday’s coldest temperature could be greater than Monday’s coldest temperature.
Tom says that Tuesday’s coldest temperature could be less than Monday’s coldest temperature.
State whether each student’s statement is true or false, and justify your answers.
Respond in the space provided
Answer:
23
Step-by-step explanation:
Answer: Rachel is correct the coldest temperature could be greater than Mondays. Step-by-step explanation: Because 2 degrees Fahrenheit is less than 4 degrees which makes Rachel right.
3. Yeirilis spent $24.45 on a shirt. She paid with
$30. What is her change?
Answer:
30.00 - 24.45
her change is
$ 5.55
A grocer is stocking cans of beans on his shelf for a 7-day week and will
sell at least 4 cans of beans every day. The inequality, na 4d can be used
to determine n, the number of cans the grocer will sell during d days the
store is open. Which of these is not a reasonable number of cans of beans
to stock on the shelf for the week? *
Answer:
22Step-by-step explanation:
Given inequality:
n ≥ 4dAs the number of days is 7, the number of cans is:
n ≥ 4*7 = 28From the options, the last one is not reasonable:
22 because it is less than 287th-grade math I WILL GIVE BRAINLIEST !
Why will the graph of every proportional relationship include the point (0, 0)?
Answer:
It includes it because with out it there will be no center and it wouldn't be right. And with out it ever equation wont be proportional
Step-by-step explanation:
I really hope this helps Im just saying what I think is the answer it is my fault if you get the answer wrong <3
The shape with corners A(-6,-4), B(-3,-1), C(0,-2), and D(-6,-8) is a trapezoid. What pair of sides are parallel?
Answer:
Step-by-step explanation:
Which expression can be used to find 25 percent of 88?
Answer:
25 percent of 88 is 25/100* 88 = 22
Step-by-step explanation:
A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then,
she ascends 112.2 feet. What is her current depth?
O-549.3 feet
-59.3 feet
59.3 feet
549.3 feet
Answer:
B
Step-by-step explanation:
-140 + (-7) × 4.5 = -171.5
-171.5 + 112.2
-59.3
Answer:
b
Step-by-step explanation:
someone help me on this question
it's two step inequalities
i forgot how to do this
Answer:
if I'm not wrong, its x>34
Step-by-step explanation:
multiply both sides by 3
3(x - 4)/3 > 10 x 3
x - 4 > 30 (simplify)
add 4 to both sides and x > 34
The length of a rectangle is 3ft longer than its width.
If the perimeter of the rectangle is 50ft, find its length and width.
Answer: the width is 6.25 ft
And the Length is 18.75 ft
Step-by-step explanation:
Length = 3w
Width = w
Perimeter = 3w + 3w + w + w
50 = 3w + 3w + w + w
50 = 8w
w = 6.25
Length = 3w
Length = 3(6.25)
Length = 18.75
Therefore the width is 6.25 ft
And the Length is 18.75 ft
Given: AB ≈ BC and E is the midpoint of AC.
Prove: BAD ZBCD
Answer:
the proving is probably transitive
which translation is demonstrated in the figure
what point will correspond to the rightmost point on the reflected figure?
Answer:
Point C because your reflecting and thats the midpoint and can i have brainiest
Step-by-step explanation:
A circle has a Radius of 40 cm which of these is closest to Its Area
Answer:
251cm^2
Step-by-step explanation:
Answer:
251cm^2
Step-by-step explanation:
i got this answer right on my test
please help me out with this
Answer:
42 degrees
Step-by-step explanation:
The two identical lines in sides JK and KL means that the sides are equal. This means that the triangle is an isosceles triangle with the angles J and L being equal. This means that 54+x and 5x-6 are equal. We set this as 54+x = 5x-6. We simplify this to get x = 15. Angle J and L are equal to 69. The angles in a triangle add up to 180, so 69+69 = 138. 180-138 = 42, which is angle K
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Which of the following statements is true for the function Thomas graphed?
A.It has a slope of 10
B.it has a y-intercept of 7
C.It has a negative association
D.It assigns exactly one output to each input
Answer:
D
Step-by-step explanation:
A linear function has exactly one output to each input.
The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.
Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
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The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 470 minutes, the monthly cost will be $200.5. If the customer uses 590 minutes, the monthly cost will be $242.5.
A) Find an equation in the form
y=mx+b
,
where
x
is the number of monthly minutes used and
y
is the total monthly of the NextFell plan.
The equation in the form y = mx + b is y = 0.35x + 36.
How to represent a linear equation?The equation formed from the expression is a linear equation and should be expressed in the slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore,
y = mx + b
where
x = the number of monthly minutes usedy = the total monthly of the Next fell planusing the coordinates, let's find m
(470, 200.5)(590, 242.5)
Hence,
m = 242.5 - 200.5 / 590 - 470
m = 42 / 120
m = 0.35
Therefore,
y = 0.35x + b
200.5 = 0.35(470) + b
200.5 - 164.5 = b
b = 36
Finally, the equation in the form y = mx + b is y = 0.35x + 36.
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