On average, Carson spends about 26% of his allowance each month on candy and soft drinks. When creating a circle graph of what Carson does with his money, which of the following fractions would be the best to represent how much he spends on food?
Estimate the circumference of a circle that has a diameter of 6 ft.
Answer: 1/4
Given : On average, Carson spends about 26% of his allowance each month on candy and soft drinks.
To Find : When creating a circle graph of what Carson does with his money, which of the following fractions would be the best to represent how much he spends on food?
If these are your Choices:
A) 1/4
B) 1/3
C) 3/4
D) 1/2
Solution:
To Convert fraction into % multiply by 100
(1/4) * 100 = 25 %
(1/3) * 100 = 33.33 %
(3/4) * 100 = 75 %
(1/2) * 100 = 50 %
Therefore 1/4 fraction best represent how much he spends on food
Can someone help me.
Answer:
see explanation
Step-by-step explanation:
substitute the values of x in the table into g(x)
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
g(- 2) = [tex]4^{-2}[/tex] = [tex]\frac{1}{4^{2} }[/tex] = [tex]\frac{1}{16}[/tex]
g(- 1) = [tex]4^{-1}[/tex] = [tex]\frac{1}{4}[/tex]
g(0) = [tex]4^{0}[/tex] = 1
g(1) = [tex]4^{1}[/tex] = 4
g(2) = 4² = 16
Plzzzzzzzz help with your own handwritten picture
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
Find the area of the credit card. 2 1/4 in and 3 1/3 in
Answer:
Step-by-step explanation:
A= W*L
A= 31/3*21/4
A=10.3*5.25
A=54.075cm^2
Answer:
7 1/2in^2
Step-by-step explanation:
LxW=A
2 1/4 x 3 1/3 = A
A = 7 1/2
The domine of definition of the function
[tex]f(x) = \frac{1}{ \sqrt{ |\cos(x)| + \cos(x) }} \: is \\ [/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
Given function is
[tex]\rm \longmapsto\:f(x) = \dfrac{1}{ \sqrt{ |cosx| + cosx} } [/tex]
Now,
[tex]\rm \longmapsto\:f(x) \: is \: defined \: if \: |cosx| + cosx > 0[/tex]
We know,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm \longmapsto\: |x| = \begin{cases} &\sf{ - x \: \: when \: x < 0} \\ \\ &\sf{ \: \: x \: \: when \: x \geqslant 0} \end{cases}\end{gathered}\end{gathered}[/tex]
So,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm \longmapsto\: |cosx| + cosx = \begin{cases} &\sf{ \: \: 0 \: \: when \: cosx \leqslant 0} \\ \\ &\sf{ \: \: 2 \: cosx \: \: when \: cosx > 0} \end{cases}\end{gathered}\end{gathered}[/tex]
So,
[tex]\rm\implies \:f(x) \: is \: defined \: when \: cosx > 0[/tex]
So, from graph we concluded that cosx > 0 in the following intervals.
[tex]\begin{gathered}\boxed{\begin{array}{c|c} \bf cosx & \bf \: x \: \in \: \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf + ve & \sf \bigg( - \dfrac{\pi}{2} ,\dfrac{\pi}{2} \bigg) \\ \\ \sf + ve & \sf \bigg(\dfrac{3\pi}{2} ,\dfrac{5\pi}{2} \bigg) \\ \\ \sf + ve & \sf \bigg(\dfrac{7\pi}{2} ,\dfrac{9\pi}{2} \bigg) \end{array}} \\ \end{gathered}[/tex]
So, if we generalized this we get
[tex]\rm\implies \:cosx > 0 \: when \: x \: \in \: \bigg(\dfrac{(4n - 1)\pi}{2} ,\dfrac{(4n + 1)\pi}{2} \bigg) \: \forall \: n \in \: Z[/tex]
Hence,
Domain of the function is
[tex]\red{\rm\implies \boxed{\tt{ \: x \in \: \bigg(\dfrac{(4n - 1)\pi}{2} ,\dfrac{(4n + 1)\pi}{2} \bigg) \: \forall \: n \in \: Z}}}[/tex]
[tex]\textsf{More to know :-} \\[/tex]
[tex]\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c} \bf T-eq & \bf Solution \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf sinx = 0 & \sf x = n\pi \: \forall \: n \in \: Z\\ \\ \sf cosx = 0 & \sf x = (2n + 1)\dfrac{\pi}{2}\: \forall \: n \in \: Z\\ \\ \sf tanx = 0 & \sf x = n\pi\: \forall \: n \in \: Z\\ \\ \sf sinx = siny & \sf x = n\pi + {( - 1)}^{n}y \: \forall \: n \in \: Z\\ \\ \sf cosx = cosy & \sf x = 2n\pi \pm \: y\: \forall \: n \in \: Z\\ \\ \sf tanx = tany & \sf x = n\pi + y \: \forall \: n \in \: Z\end{array}} \\ \end{gathered}\end{gathered}[/tex]
Factorize:
2ax-6ay+bx-3by
Answer:
2ax − 6ay + bx − 3
Step-by-step explanation:
The expression is not factorable with rational numbers
Answer:
Step-by-step explanation:
2a(x - 3y) + b(x - 3y)
What’s the slope of (-7,2) and (1,4)
Answer:
1/4
Step-by-step explanation:
Slope = (change in the y-values)/(change in the x-values)
Slope = (4 - 2)/(1 - (-7) )
Slope = (4 - 2)/(1 + 7)
Slope = 2/8
Slope = 1/4
Round off to the nearest hundredth: 3.6789
Need a bit of help here
Answer:
Answer 1 is 4:2 or also write as 2:1.
A dance studio has a raffle and sells 125 tickets. Kenton bought 33 of the tickets. What percent of the tickets
does Kenton have?
You have 112 feet of fencing to enclose a rectangular region. What is the maximum area?
find the nth term of 11, 20, 35, 56, 83, . . .
nth number is 83 hope you understand my answer thanks
Answer: 3n^2 + 8
Step-by-step explanation:
an^2 + bn + c
It is a quadratic sequence
11, 20, 35, 56, 83
+8 +15 +21 +27
+6 +6 +6
a + b + c
4a + 2b + c
9a + 3b + c
4a + 2b + c - a + b + c = 20 - 11
4a + 2b + c - a + b + c = 9
3a + b = 9
9a + 3b + c - 4a + 2b + c = 35 - 20
5a + b = 15
-2a = -6
a = -6/-2
a = 3
Substitute to find the values of b & c
For b
5(3) + b = 15
15 + b = 15
b = 15 - 15
b = 0
For c
9(3) + 3(0) + c = 35
27 + c = 35
c = 35 - 27
c = 8
3n^2 + 0n + 8
3n^2 + 8
Mya says the value of 6 in 0.006 is 1-10 of the value of 6 in 0.6. Is the correct?
Answer:
no, it is incorrect it is 1-100 the value
Step-by-step explanation:
0.006×10= 0.06
0.006×100=0.6
[tex]14x=8x+30[/tex]
Answer:
5
Step-by-step explanation:
14x - 8x = 30
5x = 30
x = 6
..........
Answer:
solution
14x=8x+30
collect like terms
30=8x-14x
30= -6x
divide by -6x
30/-6 = -6x/-6
X= –5
A truck driver always drives 3 miles per hour. She drives for 5 hours each day. How many miles will she drive in 3 days?
Answer:
45 miles in 3 days
Step-by-step explanation:
if she drives 3 miles an hour for 5 hours a day that would be 3x5=15
15x3 days=45 miles in 3 days
what part of 63 is 18
Answer:
If you mean percent, its 350%
Answer:
1134
Step-by-step explanation:
1134/63=18
if f(x)=3x-5 and g(x)=x², find (f o g)(3)
Answer:
(f ∘ g) (3) = 22
Step-by-step explanation:
f( x + 3x - 5; g (x) = x² ∴ g ( 3 ) = 3² = 9
( f ∘ g ) ( 3 ) = f(g(3)) = f ( 9 ) = 3 · 9 - 5 = 27 - 5 = 22 [Ans]
can someone help me please ?
Answer:
Any number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number.
So, 323.2685109 is IRRATIONAL number.
Kelly runs a distance of 100 metres in a time of 10.52 seconds.
The distance of 100 metres was measured to the nearest metre.
The time of 10.52 seconds was measured to the nearest hundredth of a second.
(a) Write down the upper bound for the distance of 100 metres.
The upper bound means the highest number that you can round up to the nearest unit, in this case meters. So the upper bound for the distance of 100 meters is 100.4 meters.
Answer:
bye
Step-by-step explanation:
6. There are only cars and trucks in the parking lot. Five out of every 13
vehicles are cars. If there are 143 vehicles in the parking lot, how many
are trucks?
Pls help me
Answer:
88 trucks
Step-by-step explanation:
Ratio of cars : vehicles = 5:13
Hence, the ratio of trucks : vehicles = 8:13
143/13 = 11
If the number of vehicles is 143,
we have to multiply both sides of the ratio by 11:
8*11 : 13* 11
88 : 143
Hence, there are 88 trucks for every 143 vehicles.
Hope this answers your question... Have a wonderful time ahead at Brainly!
On a blueprint, the scale says that 2 cm represents 3 m. What is the actual length of a wall if it's measurement on the blueprint is 7 cm?
Answer:
7!!
Step-by-step explanation:
Solve for x
A 130
B 120
C 23
D 70
Answer:
B)120º
Step-by-step explanation:
70+50=x
120=x
Sum of two interior angles=exterior angle
[tex]\\ \sf\longmapsto 50+70=x[/tex]
[tex]\\ \sf\longmapsto x=120[/tex]
Option B
Scores on the ACT exam have a N(μ = 18,σ = 6) distribution, while scores on the SAT
exam have a N(μ = 500,σ = 100) distribution. Suppose Xiaoyu got a 27 on the ACT
exam, while Emily got a 720 on the SAT exam. Who has the higher relative score? Why?
Answer:
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
Step-by-step explanation:
Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.
Xiaoyu:
z = [tex]\frac{27 - 18}{6}[/tex] = 1.5
Emily:
z = [tex]\frac{720 - 500}{100}[/tex] = 2.2
______
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
what number is represented by each point on the number line
Answer:
Every point of a number line is assumed to correspond to a real number, and every real number to a point. The integers are often shown as specially-marked points evenly spaced on the line.
0.810x0.00084/0.000400x0.0270leave the answer in a standard form
Answer:
4.5927 x 10^-2 ?
Step-by-step explanation:
Which angle is not necessarily congruent to 1?
Answer:
12
Step-by-step explanation:
the answer is just 12.
Please help i reward brainliest
plz no silly answers
Answer:
64, -64, -64
-27, 27, 27
Step-by-step explanation:
If x = 4,
x³ = 4³ = 64
-x³ = -4³ = -64
(-x)³ = (-4)³ = -64
If x = -3,
x³ = -3³ = -27
-x³ = -(-3)³ = 27
(-x)³ = (-(-3))³ = 27
Ms. Nguyen needs to separate $385 into three parts to pay some debts. The second part must be five times as large as the first part. The third part must be $35 more than the first part. How much money must be in each part?
Answer:
1st: $50 2nd: $250 3rd: $85
Find the vertex of a quadratic function written in standard form.
f(x) = 3x2 + 18x + 32
PLS HELP!!
Answer:
our vertex for f(x) = 3x² + 18x + 32 = (-3, 5 )
Step-by-step explanation:
let me write the standard form of a quadratic equation
[tex]a {x}^{2} + bx + c[/tex]
Now let me rewrite the original equation
[tex]3 {x}^{2} + 18x + 32[/tex]
Now we use this simple formula to find the vertex (h, k)
[tex]x = h = - \frac{b}{2a} \\ = - \frac{18}{2(3)} = - \frac{18}{6} = - 3 \\ h = - 3[/tex]
substitute -3 for x back into our original equation to solve for y our k value of our vertex
[tex]y = 3 ({ - 3})^{2} + 18( - 3) + 32 \\ = 3(9) - 54 + 32 \\ = 27 + 32 - 54 \\ = 59 - 54 \\ k = 5[/tex]
our vertex for f(x) = 3x² + 18x + 32 = (-3, 5 )
Find m Give explanation please
Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
Answer:
50°
Step-by-step explanation:
( 7x + 18 )° = ( 6x - 10 )° + 38°
7x + 18 = 6x - 10 + 38
7x - 6x = 28 - 18
x = 10
m∠EFG = 6(10) - 10
m∠EFG = 50°