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.
The area of a square mural pointed on the side of a building is 110 square feet. What is the best estimate of the side length of the mural?
A.10 Feet
B.10.2 Feet
C.10.5 Feet
D.10.8 Feet
Answer:
C
Step-by-step explanation:
Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.
[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]
A map is drawn using a scale of 1cm/80 mi
Two cities are 280 miles apart
How far apart are the cities on the map?
Answer:
280/80 = 28/8 = 7/2 = 3.5 cm
Step-by-step explanation:
the ratio is 1cm/80mi = a cm/280mi
so you get 280cm * mi = 80mi*a cm
so a = 280/80 = 3.5
The cost for the company to ship the boxes varies indirectly with the number of boxes being shipped. If 25 boxes are shipped at once, the cost will be $10 per box.
write the slope-intercept form of the equation of the line.
Answer: y=x+2
Step-by-step explanation:
ok, so the points from the graph in the picture that i used were (0, 2) and (-2, 0).
(0, 2) is the y-intercept, which will replace b.
y=mx+2
the slope of the line is 1.
y=1x+2
y=x+2
Nicholas bought 24feet of fabric at afabric store. The fabric cost $1.35 per foot, including sales tax. If Nicholaspaid with a $50bill, how much change should he have received?
Answer:
24x1.35=32.4
He should have recieved $32.40 in change.
Write the equation of a line that is parallel to y = -x + 7
and passes through the point (-4, 1). Write your answer
in slope-intercept form, y = mx + b.
Answer:
y= -x-3
Step-by-step explanation:
A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.
We get...
y= -x+b
1= -(-4)+b
1=4+b
b=-3
Our final equation is y=-x-3
Hope this helped
Please help (;´༎ຶٹ༎ຶ`)
Solve the following inequality for s. Write your answer in simplest form.
8s + 3 < 9s +1
Answer:
s could be 3
Step-by-step explanation:
HELP PLEASE I HAVE 2 HOURS TO FINISH THIS:
match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
Answer: ↓↓↓
Step-by-step explanation:
Slope intercept formula: y = mx + b
Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5
Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5
Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4
which one is greater , 65% or 3/5
Answer:
Step-by-step explanation:
65% is greater
find the percent of change.
50 to 75 ft...
please explain.
Answer:
50%
Step-by-step explanation:
50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50).
At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles? *
Answer: 3.4%
Step-by-step explanation:
divide 258 and 74 then round that answer to the nearest tenth place.
Answer: 28.7%
Step-by-step explanation:
74 ÷ 258 = 0.2868
0.2868 ---> 28.68 ---> 28.7%
What percent of offspring will be brown eyed?
25%
50%
75%
100%
Please I need help
Answer:
100%
Step-by-step explanation:
they are all Bb. the capital B means that it is a dominant gene and the lowercase b won't "beat" the dominant gene. So they will all be brown
Two differences between y=2x and y=2x-7
Answer:
y=2x and y=2x-7 has same slope 2, but y=2x-7 shift down 7 unit from y=2x
Step-by-step explanation:
y=2x and y=2x-7 has same slope 2, but y=2x-7 shift down 7 unit from y=2x
Please help with work
Find the values of b such that the function has the given maximum value [tex]f(x) = -x^2+bx-65[/tex]. I already have it in vertex form as [tex]-(x+\frac{b}{2})^2-65+\frac{b^2}{4}[/tex] but I don't know what to do from here
Answer:
b = {20, -20}Step-by-step explanation:
Given function:
f(x) = -x² + bx - 65 with maximum value of 35To find
The value of bSolution:
Maximum value is obtained at vertex as a < 0
Vertex coordinate of x is:
x = -b/2a = -b / -2 = 1/2bSolving for b:
35 = - (1/2b)² + b(1/2b) - 65- 1/4b² + 1/2b² = 1001/4b² = 100b² = 400b = √400b = ± 20See attached
solve question 20 (a) and (b)
Answer:
You first have to read on the coordinates where the curve and the straight line meet or cuts across
a.) 53
b.) 13
A salesman needed to sell a used car. He priced it at $4,500 the first day it was on the
market. The second day he reduced the price by 12%. What was the price of the used car after this reduction?
Answer:
$3960
Step-by-step explanation:
12% of $4,500 is 540.
Subtracting the 12% means taking away $540 from $4,500, which gives you $3960
distributive property -8(1+5m)
Answer:
im pretty sure that it is -48 there is a chance im wrong
Step-by-step explanation:
.
guys I need help
plss answer activity 1.2.3 & 4
as long as you can... I will mark you brainliest
I will be happy if you help me
(╯︵╰,)
Answer:
Activity 1:-
1) Pi (π) is the ratio of circumference and the diameter of the circle which is 22/7. So
[tex]\frac{c}{d} =\pi = \frac{22}{7}[/tex]
[tex]=> c = \frac{22}{7} d[/tex] where circumference is directly proportional to diameter (d).
2) Area of a parallelogram = Altitude × Base
Base = 10 cm. So ,
[tex]A = 10a[/tex] where area (A) is directly proportional to altitude (a).
3) Let the fare of 1 unit distance be f
So, for distance d , total fare (F) will be [tex]F = fd[/tex] where total fare (F) is directly proportional to distance (d).
4) Let the distance be 'D' , speed be 's' & time be 't' .
We know that [tex]s = \frac{D}{t}[/tex] where speed (s) is directly proportional to distance (D) & inversely proportional to time (t).
5) We know that area of a square (A) = side² (s²)
[tex]=> A = s^{2}[/tex] where area(A) is directly proportional to side(s).
Activity 2:-
1) p is directly proportional to sum of u & w.
⇒ p ∝ u + w
⇒ p = k (u + w)
Putting the values of p , u & w
⇒ 14 = k(4 + 3)
⇒ 7k = 14
⇒ k = 14/7 = 2
2) r is directly proportional to square of t.
⇒ r ∝ t²
⇒ r = k × t²
Putting the values of r & t
⇒ 16 = k × 16²
⇒ k = 16² ÷ 16 = 16
3) y is directly proportional to cube root of x.
⇒ y ∝ ∛x
⇒ y = k × ∛x
Putting the values of x & y ,
⇒ 2 = k × ∛27
⇒ 3k = 2
⇒ k = 2/3
4) z is directly proportional to cube of d.
⇒ z ∝ d³
⇒ z = k × d³
Putting the values of d & z ,
⇒ 5 = k × 2³
⇒ 8k = 5
⇒ k = 5/8
5) Total Surface Area (SA) is directly proportional to square of the sides (s).
⇒ SA ∝ s²
⇒ SA = k × s²
Putting the values of SA & s ,
⇒ 96 = k × 4²
⇒ 16k = 96
⇒ k = 96/16 = 6
9)
Use VSEPR to predict the electron-pair geometry of N2.
A)
linear
B)
trigonal planar
C)
tetrahedral
D)
trigonal bipyramidal
Answer:
tetrahedral
Step-by-step explanation:
According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.
The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.
If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.
PLSS HELP ILL GIVE BRAINLIEST IF YOU HELP ME AND EXPLAIN UR ANSWER
Answer:
It is the second choice.
Step-by-step explanation:
Divide both side by pi r squared. Boom.
Answer:
h = V/πr²
Step-by-step explanation:
Its asking you to isolate h. You can simply divide on the right besides h on both sides.
V = πr²h
V/πr² = h
What’s the solution for x- 5 =5
Answer:
x=10
Step-by-step explanation:
10-5=5
Answer:
x= 10
Step-by-step explanation:
x-5 =5
x= 5+5
x= 10
zz
I WILL MARK BRAINLIST! TIS IS SIMPLE PROBABILITY. A bag of game markers contain 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Mario reaches into the bag and pulls out a game marker without looking, what is the probability he will NOT pull out a blue game marker?
A. 1/2
B. 1/3
C. 4.15
D. 2/3
Answer: D. 2/3
Step-by-step explanation:
There are 15 markers in total. Out of these 15 markers, there are 5 blue ones.
If Mark reaches into a bag to pull out one marker and hopes it is not blue, there would be a 2/3 probability as 2/3 of the markers are not blue.
cindy bought a new jacket. Jill bought a jacket that costs 3 times as much as Cindy. Altogether their jackets cost 300$. What equation can be used to represent the problem and how much was each of their jackets?
Answer:
x + 3x = $400
the jacket cost price of Cindy nd Jill is $100 and $300 respectively
Step-by-step explanation:
The computation is shown below:
Here we assume the cindy be x
So the Jill be 3x
Now the equation is
x + 3x = $400
4x = $400
x = $100
So the Cindy jacket cost is $100
And, the Jill jacket cost would be
= 3x
= 3(100)
= $300
Hence, the jacket cost price of Cindy nd Jill is $100 and $300 respectively
The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?
Answer
10.25
Step-by-step explanation:
pls mark me as brainliest its required :)
need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7
Answer:
what's the question thougu
Mike paid $300 to join a gym, for one year, including a membership fee of $60. What is the monthly cost? Write
and solve an equation. Let m represent the monthly cost.
Answer:
720
Step-by-step explanation:
60×12=720 so the monthly yearly coast would be 720
Tommy's auto mall needs to transport 108 cars. A moving truck can fit 7 cars on each bed. How many trucks does tommy need to relocate all his car? (Do it in long division)
Answer: 15 remainder 3.
Step-by-step explanation:
Divide. Write your answer as a fraction in simplest form.
9 3/4 ÷ 4 1/2
Answer:
2 1/6
Step-by-step explanation:
9 3/4÷ 4 1/2
9×4+3/4÷ 4 1/2
36+3/4÷ 4 1/2
39/4÷ 4 1/2
39/4÷4×2+1/2
39/4 ÷ 8+1/2
39/4÷9/2
39/4× 2/9
39×2/ 4×9
78/4×9
78/36
13/6
2 1/6
A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.
=> x + 48° = 66°, x = 18°.
The required measure of the angle x is given as 18°.
Given that,
A side of the triangle below has been extended to form an exterior angle of 66°
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°
Thus, The required measure of the angle x is given as 18°.
Learn more about Angles here: https://brainly.com/question/13954458
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