Given:
1 canister = [tex]\dfrac{2}{23}[/tex] sacks of sugar
1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.
To find:
The expression that can be used to solve for the number of pounds of sugar it takes to fill the canister?
Solution:
We have,
1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.
So,
[tex]\dfrac{2}{23}[/tex] sack = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.
1 canister = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.
1 canister = [tex]\dfrac{3}{46}[/tex] pounds of sugar.
Therefore, the expression [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] is used to solve for the number of pounds of sugar it takes to fill the canister.
Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years old. What is the combined age of these four people?
Answer:
35
Step-by-step explanation:
E = M - 12
M = 6 + I
I = P x 2
P = 5
I = 10
M = 16
E = 4
lydia wants to purchase guitar lessons she sees a sign that gives the price is 47 guitar lessons and 11 guitar lessons write a linear equation to find the total cost c for d lessons
Answer:
c = 58x
Step-by-step explanation:
A linear equation is an equation in the form of f(x) = mx + c. Where m is the slope and c is the intercept.
Let the price of one guitar lessons be x, then 47guitars will be 47x and 11 guitar lessons will be 11x. All together will be 47x + 11x = 58x.
Thus, the total cost, c, is
c = 58x
square root of 9 multiplied by square root of 180
Answer:
18√5
Step-by-step explanation:
√9×√180
from √9 we get 3 cause 3² is 9.
from 180 we get 6√5 because √36×5 is √180.
we took 36 out because it gives us a whole number if we square root it.
So √36×5 is 6√5 , because the square root of 36 is 6
then we multiply 3 and 6√5.
3×6 is 18 so we put 18 and put the √5 behind it.
What is this question?
Answer:
A
Step-by-step explanation:
So timing a fraction with a fraction smaller by 1 means its a proper fraction.
And it can't get bigger than it already is because it's timing a less than 1 itself.
So it's A, it will be smaller
Find the slope and the y-intercept of the line.
y=-1/2x+8 PLS HEEEEEEEEEEEEEELP
Answer:
slope: -1/2
y-intercept: 8
Step-by-step explanation:
y=mx+b is the linear equation
m=slope
b=y-intercept
is y=3x^2 a function?
Answer:
y=3x-2 is a function because it passes the vertical line test
Answer:
No
Step-by-step explanation:
Cant have any variables
Solve for x please: 9=8/5(x+5)
Answer:
5/8 =x
Step-by-step explanation:
9=8/5(x+5)
Multiply each side by 5/8
5/8 *9= 5/8 *8/5(x+5)
45/8 = x+5
Subtract 5 from each side
45/8 - 5 = x+5-5
45/8 -5 = x
Get a common denominator
45/8 - 5*8/8 =x
45/8 - 40/8 =x
5/8 =x
Write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.
Q (-2, -1)
Q' (___,___)
Answer:
Q' (-10, -5)
Step-by-step explanation:
Multiply each coordinate by the scale factor.
-2 · 5 = -10
-1 · 5 = -5
Therefore, Q' (-10, -5).
2+3+3==2=2=3=hiokwfqndklmDnkldgn
Answer:
actually it's 234
brainliest this was hard
Step-by-step explanation:
Answer:
do you need some help or need someone to talk to ?
Step-by-step explanation:
The following dot plot shows the pulse rates of runners after finishing a marathon:
Which of the following data sets is represented in the dot plot?
{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}
Answer:
The correct answer is Option C:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Step-by-step explanation:
Dot plots are one of the tools that are used to represent data in statistics and mathematics.
As the dot plot is given, we can make the data set from the plot.
As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.
Similarly, 165 occurs 5 times, 170 two times and 180 four times.
So the dataset will be:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
The scale factor from a small triangle ABC to a large
triangle XYZ is 4. How many times larger will the
perimeter of triangle XYZ be than the perimeter of
triangle ABC?
9514 1404 393
Answer:
c 4 times
Step-by-step explanation:
If the side lengths of the original triangle are AB, BC, and CA, then those of the dilated triangle are 4AB, 4BC, 4CA.
The sums of these are the perimeters.
P = AB +BC +CA
perimeter of XYZ = 4AB +4BC +4CA = 4(AB +BC +CA) = 4P
The perimeter of XYZ is 4 times the perimeter of ABC.
PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32
Answer:
I'm not even lying, it's none of them ;-;
btw if you want, can you give me brainliest :((
Answer:
4
Step-by-step explanation:
16^(1/2)
when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number
we are left with an order 2 root, which is a square root
[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]
I WILL GIVE BRAINLIEST!!!!
The hummingbird population on an island is declining at a rate of 1.4% per year. The population was 5500 in the year 2009.
What is the best prediction of the hummingbird population in the year 2016?
Enter your answer, rounded to the nearest integer, in the box.
The hummingbird population will be
Answer: 4983
Step-by-step explanation:
Initial population P=5500
Population declining at the rate of 1.4%
So, in the year 2010 population is
[tex]P=5500-5500\times1.4\%=5500(1-1.4\%)[/tex]
For the year 2011
[tex]P=5500(1-1.4\%)^2[/tex]
similarly, for the year 2016
no of years passed 2016-2009=7 years
[tex]P=5500(1-1.4\%)^7[/tex]
[tex]P=5500\times0.986^7\\P=5500\times0.90602\\P=4983.117\approx 4983[/tex]
70.50 - 52.01 - 0.22 =
Help I got it wrong and I dont know how to do the problem
Answer:
18.27
Step-by-step explanation:
70.50-52.01- 0.22
18.49-0.22
18.27
1/3 divided by 4 = what
Answer:
1/12
Step-by-step explanation:
I divided
Sarah has a loyalty card good for a 20% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $39.25?
PLEASE HELP
Brandon enters bike races. He bikes 7 1/2 miles every 1/2 hour. complete the table to find out how far Brandon bikes for each time interval
Answer:
12. Since there is no table given I will assume that what you want me to do is to show that Unit rate of Brandon’s biking. SO here are the data that we need: => 8 and ½ miles = 8.5 miles => ½ hour = .5 hours or 30 minutes Now, let’s solve for the unit rate => SO in every 30 minutes he bikes around 8.5 miles => Since 1 hour is equals to 30 minutes, simply multiply 8.5 by 2 => 8.5 * 2 = 17miles => 17 miles / hour
Step-by-step explanation:
divide 612 by 12
>O<
If f(x) = 3x+ 2 and g(x) = x^2 + 1 , which expression is equivalent to (f•g)(x)
Answer:
f(x) = 3x + 2g(x) = x^2+1Step-by-step explanation:
(f.g)x =substitute value of g(x) to the (x) terms in f(x) formulaf(gx)= 3(x^2+1)+2fg(x)= 3x^2 + 3 + 2 3x^2 + 5
Multiplying by 1.36 is the same as increasing by
%.
Answer:
36%
Step-by-step explanation:
1 = 100%
so 1.36 is increasing by 36%
I need help with this problem please
Answer:
150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
PEMDAS = Parenthesis, exponents, multiplication, division, addition, subtraction.
3 · [(22 + 4 ÷ 2 + 2) + 24]
3 · [(22 + 2 + 2) + 24]
3 · [26 + 24]
3 · [50]
150
plz give me a answer plzzzzzz
Answer:b
Step-by-step explanation:
cause
. Evaluate 8^0 helppp please
Answer:
1
Step-by-step explanation:
[tex] {8}^{0} = 1 \\ [/tex]
Any number raised to zero is always equal to one.
What is the common factor that we can divide 6 and 8 by?
Answer:2
Step-by-step explanation:
Find the length of side AB.
Give your answer to 3 significant figures.
C
410
13.5 cm
A
B
ANSWER:
sin41 × 13.5 = 8.85679
rounded to 3 sig fig
= 8.57
Answer:
8.86 cm
Step-by-step explanation:
The sine rule shows the relationship between the sides of a triangle and its opposite sides. Sine rule states that given a triangle with side a and opposite angle A, side b and opposite angle B, side c and opposite angle C then:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
From the image attached, let AB = x, its opposite angle is 41°. BC = 13.5 cm and its opposite angle is 90° (right angle). Therefore using sine rule:
[tex]\frac{x}{sin(41)} =\frac{13.5}{sin(90)} \\\\x=sin(41)*\frac{13.5}{sin(90)}\\\\x=8.8568\\\\ x=8.86\ cm\ to\ 3\ s.f[/tex]
x = AB = 8.86 cm
What is the actual length of the microchip?
Answer:
12 millimeters is the actual length of a microchip
a. Find the amplitude.
b. Find the period.
c. Find the vertical shift.
d. Find the horizontal shift.
e. Find the number of cycles between 0 and 2π.
f. Find the equation of the graph.
You must show all of your work to receive credit.
Answers:
a) Amplitude = 2b) Period = pic) Vertical shift = -2, which means it has been shifted down 2 units.d) Horizontal shift = 3pi/8, this shifting is to the right.e) There is one cycle between 0 and 2pi.f) The equation of the graph is y = 2*sin(2(x-3pi/8))-2========================================================
Explanations:
Part (a)
The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.
Note: Amplitude is always positive as it measures a distance.
---------------------
Part (b)
For x > 0, the first valley or lowest point occurs between 0 and pi/4. It appears to be the midpoint of the two values. So that would be (0+pi/4)/2 = pi/8.
The next valley occurs between pi and 5pi/4. Compute the midpoint to get (pi+5pi/4)/2 = (4pi/4+5pi/4)/2 = (9pi/4)/2 = 9pi/8
So we have the graph go from one valley x = pi/8 to the next valley over x = 9pi/8. This is a distance of pi units because 9pi/8-pi/8 = 8pi/8 = pi
The graph repeats itself every pi units, so the period is pi.
---------------------
Part (c)
The midline is normally through y = 0, aka the x axis. However, the graph shows the midline is through y = -2. This means the graph has been shifted down 2 units.
---------------------
Part (d)
This will depend on whether you use sine or cosine. This is entirely because cosine is a phase-shifted version of sine, and vice versa. I'll go with sine.
The parent sine function y = sin(x) goes through the origin (0,0)
However, as part (c) mentioned, we shifted the graph 2 units down. So we have y = sin(x)-2. But plugging x = 0 into this leads to the point (0,-2)
This doesn't match what the graph says. The graph shows the point (3pi/8, -2) on the red curve. The x coordinate 3pi/8 is the midpoint of pi/4 and pi/2
This must mean we need to shift the sine graph 3pi/8 units to the right.
---------------------
Part (e)
Start at the lowest point when x = pi/8. If you start the cycle here, then it ends when x = 9pi/8. See part (b).
So far we've completed one cycle. If we start at x = 9pi/8, then the next valley or lowest point is slightly beyond or to the right of x = 2pi. This means we run out of room and we haven't completed a full cycle.
Overall, one full cycle is between 0 and 2pi.
---------------------
Part (f)
Again I'm going to use sine instead of cosine. Refer back to part (d).
The general sine curve equation is
y = A*sin(B(x-C))+D
where
|A| = amplitudeB handles the period, specifically T = 2pi/B where T is the period. We can solve for B to get B = 2pi/TC = horizontal phase shiftD = vertical shift, and ties together with the midline equationIn this case, we found that
|A| = 2T = pi leads to B = 2pi/T = 2pi/pi = 2C = 3pi/8D = -2So,
y = A*sin(B(x-C))+D
will update to
y = 2*sin(2(x-3pi/8))-2
which is one way to express the equation of the red curve. Optionally you can distribute the 2 through to (x-3pi/8).
work out the product 2 2/3 and 1 5/7
give the answer as a mixed number
Answer:
= 3 5/9
Step-by-step explanation:
2 2/3 × 1 5/7
= 8/3 × 12/7
= (8×12) / (3×7)
= 96/27
= 3 15/27
= 3 5/9
2 2/3 × 1 5/7 = 3 5/9
5 pts
Question 17
A right triangle has a base of 3m and a height of 4m. What is the area of
the triangle if it has been dilated by a scale factor of 2?
*Hint: Area =
base height
2
O 12m
O 24m
O 10m
O 6m
9514 1404 393
Answer:
(b) 24 m²
Step-by-step explanation:
After dilation by a factor of 2, the base is 2×3 m = 6 m, and the height is 2×4 m = 8 m. Then the area of the dilated triangle is ...
A = 1/2bh
A = 1/2(6 m)(8 m) = 24 m²
i need help and i need the work shown.
Answer:
step by step below
Step-by-step explanation:
p+7≤16
p +7 - 7≤ 16 - 7
p ≤ 9
7p>-28
7P/7 > - 28/7
p> -4
or
-4 < p ≤ 9
-3x+7y=5x+2y Please HELP Complete the missing value in the solution to the equation.
(-5,_)
Answer:
(-5, -8); the missing value is -8
Step-by-step explanation:
First, you need to simplify the given equation to isolate y
1: -3x + 7y = 5x + 2y (Given)
2: 7y = 8x + 2y (Add 3x to both sides)
3: 5y = 8x (Subtract 2y from both sides)
4: y = 8/5x (Divide both sides by 5)
Now, you can use this to solve for the missing y in value set (-5, y)
where y = 8/5x and x = -5,
y = 8/5(-5)
y = -8
so, the missing value is -8
