Answer:
A. Charlie
B. Charlie used 48 more beads than Shaniqua
Step-by-step explanation:
Charlie:
25 necklaces with 96 beads in each necklace.
Total beads used = number of beads per necklace × number of necklace
= 96 × 25
= 2,400 beads
Shaniqua:
28 necklaces with 84 beads in each necklace.
Total beads used = number of beads per necklace × number of necklace
= 84 × 28
= 2,352 beads
A. Charlie used more beads
B. 2,400 beads - 2,352 beads= 48 beads
Charlie used 48 more beads than
Shaniqua
If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?
Answer:
$2656
Step-by-step explanation:
6.25% of $10,624 is $664, so that is the amount of interest every year.
$664 times 4 is $2656, so after 4 years $2656 will have been paid.
The number positioned at point E is...
Answer:4 and a half
Step-by-step explanation:
4 and a half
Find the area. Simplify your answer.
3x
4
Help
Answer:
The area is 12x^2
Step-by-step explanation:
Helppppp me please I need help please
Answer:
bruh. this wat im working on too and need help also
Answer:
x = 3.6, the measure of the largest angle is 86.4
Step-by-step explanation:
15x + 24x + 21x = 180
50x = 180
180/50 = 3.6
x = 3.6
-------------------------
24x = 24(3.6)
24 * 3.6
86.4
Simplify the complex fraction shown below: 1/4 over 10/9
Answer:
9/40 or 0.225
Step-by-step explanation:
PLEASE HELP (80 points!!)
What if the following are equivalent to x^2/5 (more than once answer)
Answer:
[tex]\sqrt[5]{x^2}[/tex] and [tex](\sqrt[5]{x} )^2[/tex]
Step-by-step explanation:
They are both correct.
Answer:
A, and B
Step-by-step explanation:
The reason why is because, 2 is still on x. Therefore, while 5 represents the division it stays up in the top left corner.
Pls answer if u do know
what is this simplified?
Answer:
35/48
Step-by-step explanation:
35/48
Answer:
35/48
Step-by-step explanation:
It is already in it's simplest form.
The table shows the amount of flour
used to make waffles. What is the unit
rate for the amount of flour per waffle?
Answer:
⅛ cups per waffle
Step-by-step explanation:
Which of the following sets of numbers could represent the three sides of a right
triangle?
Answer:
(45,60,75)
Step-by-step explanation:
Because 45^2 + 60^2 = 75^2
5625 = 5625
rewrite 2/5 : 1/20 as a unit rate. PLZ HELP
Answer:
8 I believe
step-by-step explanation:
Simplify.
9/3x + 4+ 2x
Answer:
5x+4
Step-by-step explanation:
A lemonade recipe calls for 6 gallons of water. How many cups of water are needed for the recipe.
Answer:
96
Step-by-step explanation:
Hope this helps
Su cara estaba palida Metáfora
Answer:
do you want us to make a metaphor ?
To graph slope-intercept form, put a point at the _________, then use the _________ to rise and run
Answer:
b and m or known the y-intercept and slope
Step-by-step explanation:
you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.
then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.
hope that helps
John buys two types of tree saplings. One starts out at 40 cm and will grow 10 cm every three months. The other sapling starts at 20 cm and will grow 10 cm every two months. After how many months will they be the same height, and how tall will they be? solve for y and x
Answer:
They will at the same height of 80cm at 12 months.
Step-by-step explanation:
Sapling A:
y = 10/3x + 40
Sapling B:
y = 5x + 20
Set the equations to equal each other.
10/3x + 40 = 5x + 20
10/3x - 5x = 20 - 40
10x - 15x = 60 - 120
-5x = -60
x = 12
Sub x = 12 into one of the two equations (It doesn't matter which one you choose)
y = 5(12) + 20
y = 80
In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. What is the length of line segment DB? 20 units 24 units 48 units 68 units
Answer:
48 units
Step-by-step explanation:
A parallelogram is a polygon with four sides. Opposite sides and opposite angles of a parallelogram are congruent.
The diagonals of a parallelogram bisect each other.
In parallelogram ABCD, AC and DB are the diagonals. Since the diagonals meet at E, hence:
AE = CE and DE = BE (diagonals of a parallelogram bisect each other).
Since AE = CE, hence:
t + 2 = 3t - 14
3t - t = 2 + 14
2t = 16
t = 8 units
Therefore DE = 2t + 8 = 2(8) + 8 = 24 units
DE = BE = 24 units
But DB = DE + BE
DB = 24 + 24
DB = 48 units
Answer:
The answer is 48 units
Step-by-step explanation:
What is the slope of the line that passes through the points (6, 7) and (4, 1)?
Answer:
The answer is 3 Hope this help :)
Step-by-step explanation:(6,7) (4,1)
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{1-7}{4-6}[/tex]
[tex]\frac{-6}{-2}[/tex]
x=3
Choose an expression equal to: 12x + 9
Answer:3
3(4x+3)
Step-by-step explanation:
r = 4 in., θ = 11 rad; find s
Answer:
The arc length s = 44 inches
Step-by-step explanation:
We are given:
r = 4 in
Ф = 11 radians
We need to find s
The formula used is: [tex]s=r\theta[/tex]
where s represents arc length, r is radius and Ф is angle in radians
Putting values and finding s
[tex]s=r\theta[/tex]
Put r = 4 and Ф = 11
[tex]s=4\times 11\\s=44[/tex]
So, the arc length s = 44 inches
PLEASE HELPPP!!!
San Francisco is well known for its fog: very thick, low-lying clouds that hide its hills. One foggy day, Penelope is practicing kicking a football. Once she kicks the football so high that it disappears into the fog! The height of the ball (in feet) can be represented at time (in seconds) by the equation h(t)=−16t2+64t . The ball disappears into the fog when it is 40 feet high.
a) Write an inequality that represents the times during which the ball was not visible.
b) Solve the inequality and represent your solution algebraically and on a number line. Also, write a sentence explaining your answer in the context of the problem.
c) How high does Penelope kick the football?
d) When does it reach its maximum height?
Answer:
a) [tex]-16t^{2}+64t\geq40[/tex]
b)[tex][2-\frac{\sqrt{6}}{2} , 2+\frac{\sqrt{6}}{2}][/tex]
(see attached picture for the number line)
This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.
c) [tex]h_{max}=64ft[/tex]
d) t=2s
Step-by-step explanation:
a)
Basically the ball will disappear when it is higher than 40 ft, so we can build the inequality like this:
[tex]-16t^{2}+64t\geq40[/tex]
this is because the function represents it's height, so when the function is greater than or equal to 40, then the ball will disappear.
b) to solve the inequality, first we need to turn the ≥ symbol to an = symbol and solve for t, so we get:
[tex]-16t^{2}+64t =40[/tex]
we can move the 40 to the other side of the equation so we get:
[tex]-16t^{2}+64t-40=0[/tex]
we can factor the equation so it's easier to solve, so we get:
[tex]-8(2t^{2}-8t+5) =0[/tex]
which simplifies to:
[tex]2t^{2}-8t+5=0[/tex]
and we can use the quadratic formula to solve this equation, so we get:
[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}[/tex]
so we get:
[tex]t=\frac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(5)}}{2(2)}[/tex]
which yields:
[tex]2\pm \frac{\sqrt{6}}{2}[/tex]
and next we need to test the posible intervals to see which one makes the inequality true, the possible intervals are:
[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1
[tex][2+\frac{\sqrt{6}}{2},\infty)[/tex] for a test value of 4
so next we test each of the values in the original inequality and see if the inequality is true:
[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0
[tex]-16(0)^{2}+64(0)\geq40[/tex]
[tex]0\geq40[/tex] false
so this is not an answer.
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1
[tex]-16(1)^{2}+64(1)\geq40[/tex]
[tex]48\geq40[/tex]
true, so this is an answer.
[tex][2+\frac{\sqrt{6}}{2}, \infty)[/tex] for a test value of 4
[tex]-16(4)^{2}+64(4)\geq40[/tex]
[tex]-16(16)+64(4)\geq40[/tex]
[tex]-256+256\geq40[/tex]
[tex]0\geq40[/tex]
false, so this is no answer.
So the answer is the interval:
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex]
This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.
c) In order to find how high Penelope kick the football, we must find the vertex of the parabola which is gotten when graping the given function (see attached picture)
so we can use the following formula to find the t-value for this maximum height:
[tex]t=-\frac{b}{2a}[/tex]
so we substitute the corresponding values:
[tex]t=-\frac{64}{2(-16)}[/tex]
which yields:
t=2s
next, we can substitute this time into the original function to find the maximum height, so we get:
[tex]h=-16(2)^{2}+64(2)[/tex]
which yields:
h=64 ft
d) We found the answer for d on the previous part where we got that t=2s
Is 47/67 terminating, non terminating or repeating
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12
Answer:
[tex]y = \frac{x}{3} - 4[/tex]
I hope this helps!
Can someone help me whit this?!?
HELPPP!!! ASAPP!!!! FINALSSS!!!!
Which equation represents a linear function
Answer:y=-3x+10
Step-by-step explanation:
the coordinates of 3 points are a(-1, -6), b(3, -12) and c(k, 6). Find the value of k if a, b and c are collinear.
Plz answer quickly and step by step.
Answer:
The value of [tex]k[/tex] is -9.
Step-by-step explanation:
If [tex]A(x,y) = (-1,-6)[/tex], [tex]B(x,y) =(3, -12)[/tex] and [tex]C(x,y) = (k,6)[/tex], then [tex]\overrightarrow{BC} = \alpha\cdot \overrightarrow{BA}[/tex]. By vectors sum, we find each vector below:
[tex]\overrightarrow{BA} = A(x,y)-B(x,y)[/tex] (1)
[tex]\overrightarrow{BA} = (-1,-6)-(3,-12)[/tex]
[tex]\overrightarrow{BA} = (-4, 6)[/tex]
[tex]\overrightarrow{BC} = C(x,y)-B(x,y)[/tex] (2)
[tex]\overrightarrow{BC} = (k,6)-(3,-12)[/tex]
[tex]\overrightarrow{BC} = (k-3, 18)[/tex]
By substituting in the equation defined at the begining of this answer:
[tex](k-3, 18) =\alpha\cdot (-4, 6)[/tex]
[tex](k-3, 18) = (-4\cdot \alpha, 6\cdot \alpha)[/tex] (3)
The value of [tex]\alpha[/tex] is:
[tex]6\cdot \alpha = 18[/tex] (3a)
[tex]\alpha = 3[/tex]
If we know that [tex]\alpha = 3[/tex], then the value of [tex]k[/tex] is:
[tex]k-3 = -4\cdot \alpha[/tex]
[tex]k = 3-4\cdot \alpha[/tex]
[tex]k = 3-4\cdot (3)[/tex]
[tex]k = 3-12[/tex]
[tex]k = -9[/tex]
Then, the value of [tex]k[/tex] is -9.
What is the value of the expression below when w=7 and x=2?
3w - 4x
Answer:
13
Step-by-step explanation:
3(7)-4x
3(7)-4(2)
21-8
=13
What is 31/87 as a percentage?
Give your answer rounded to one decimal place.
Answer:
35.6%
Step-by-step explanation:
31/87(100)
3100/87
35.6%
Answer:
35,6%
Step-by-step explanation:
31/87 = 0,35632184
As a percentage: 35,632184%
Rounded to one deciman place: 35,6%
The cost, Y (in dollars) to provide for guests at a dinner party is proportional to the number x of guests attending the party. It costs 30 dollars to provide food for 4 guests.
Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:
''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''
So, I am solving based on this complete question.
Answer:
Please check the explanation.
Step-by-step explanation:
a. Write an equation that represents the situation.
As the cost and the number of guests are proportional.
So the equation of the form
[tex]y = mx[/tex]
Plug in the values y = 30 and x = 4 to find m
[tex]y = mx[/tex]
30 = m (4)
m = 30/4
= 7.5
Now, substituting m = 7.5 in the equation y=mx
[tex]y = mx[/tex]
[tex]y = 7.5x[/tex]
b) Interpreting Slope
Given that the units for y are dollars, and the units for x are guests.
Thus, the slope 7.5 means it costs $7.5 per guest.
c) How much does it cost to provide food for 10 guests?''
We know the equation
[tex]y = 7.5x[/tex]
put x = 10
y = 7.5(10)
y = $75
Thus, it costs 75 dollars for 10 guests.