Answer:
19 batches
Step-by-step explanation:
Given that:
Total number of cups of sugar = [tex]12\frac{2}{3}[/tex]
Amount of sugar used in one batch = [tex]r[/tex]
Number of batches that can be made by Tyra with the amount of sugar that is available with Tyra can be calculated by dividing the total number of cups of sugar available with Tyra with the amount of sugar to be used in one batch.
i.e.
Number of batches = [tex]12\frac{2}{3} \div r[/tex]
Also, if we put the value:
[tex]r=\frac{2}{3}[/tex]
We have to find the number of batches of cookies that can be made by Tyra.
Solution:
First of all, let us have a look at the formula to convert the mixed fraction into fractional number.
[tex]a\dfrac{b}{c} = \dfrac{a\times c + b}{c}[/tex]
Therefore,
[tex]12\dfrac{2}{3} = \dfrac{12\times 3 + 2}{3} = \dfrac{38}{3}[/tex]
Number of batches:
[tex]\dfrac{38}{3} \div \dfrac{2}{3}\\\Rightarrow \dfrac{38}{3} \times \dfrac{3}{2}\\\Rightarrow \bold{19}[/tex]
Therefore, 19 batches can be completed.
Which equation describes a line with a slope of -1/2 that contains the point (-5, 2)?
A. x + 2y = 1
B. x - 2y = -1
C. x - 2y = 1
D. x + 2y = -1
Answer:
The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2) ⇒ D
Step-by-step explanation:
The slope of the linear equation of the form ax + by = c is m = [tex]\frac{-a}{b}[/tex] , where a and b are integersLet us use this rule to solve the question
The slope of the line is [tex]-\frac{1}{2}[/tex] and the line contains the point (-5, 2)
We want to find which equation has the same slope and contains the point
A.
∵ x + 2y = 1
∴ a = 1 and b = 2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{2}[/tex]
∴ The line has the same slope
→ Let us find if the line contains the point (-5, 2), by substituting x by -5
and y by 2 in the left side of the equation if the answer equals
the right side, then the line contains it
∵ L.S = -5 + 2(2) = -5 + 4 = -1
∵ R.S = 1
∴ L.S ≠ R.S
∴ The line does not contain the point (-5, 2)
B.
∵ x - 2y = -1
∴ a = 1 and b = -2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
∴ The line does not have the same slope
C.
∵ x - 2y = 1
∴ a = 1 and b = -2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
∴ The line does not have the same slope
D.
∵ x + 2y = -1
∴ a = 1 and b = 2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{2}[/tex]
∴ The line has the same slope
→ Substitute x by -5 and y by 2 in the left side
∵ L.S = -5 + 2(2) = -5 + 4 = -1
∵ R.S = -1
∴ L.S = R.S
∴ The line contains the point (-5, 2)
The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2)
(-1,2) (1,8)
Find the slope
help please !! thank you so much
Answer:
Yes it is a proportional relationship
Step-by-step explanation:
That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.
PLEASE HELP!!! Trying to figure out what sides D and F are. Need help ASAP, THIS HAS TO BE IN MY MIDNIGHT ON FRIDAY!!! This makes or breaks me passing Geometry.
Thank You!!!
What numbers are prime numbers?
Answer:
C
Step-by-step explanation:
all four numbers in c do not have any other factors other than 1 and itself. All quotients of the number are not whole numbers.
Maria throws a softball straight up into the air with an initial velocity of 50 ft/sec. The ball leaves her hand when it is exactly 4 ft. Above the ground. Write an equation that models the situation.
Answer:
The equation that models the situation is [tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex].
Step-by-step explanation:
Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:
[tex]v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o})[/tex] (1)
Where:
[tex]s_{o}[/tex], [tex]s_{f}[/tex] - Initial and final position of the softball, measured in feet.
[tex]a[/tex] - Acceleration, measured in meters per square second.
[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final velocities of the softball, measured in feet per second.
If we know that [tex]v_{o} = 50\,\frac{ft}{s}[/tex], [tex]a = -32.174\,\frac{m}{s^{2}}[/tex] and [tex]s_{o} = 4\,ft[/tex], then the equation that models the situation is:
[tex]v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)[/tex]
Then, we clear the final position of the softball:
[tex]-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4[/tex]
[tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex]
The equation that models the situation is [tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex].
Move each point to the table to show what quadrant it is in when plotted on a coordinate plane.
Quadrant 1 Quadrant II Quadrant II Quadrant IV
(6,-1)
(-3,4)
(2,4)
(-1,-5)
Answer:
(-3,4) is the right answer i think im not sure nvm im positive that this is the right answer.........i think
A firm has a cash conversion cycle of 80 days, an average collection period of 25 days, and an average age of inventory of 70 days. Its operating cycle is ________ days.
Answer: 95 days
Step-by-step explanation:
Cash conversion cycle = 80 days
Average collection period = 25 days
Average age of inventory = 70 days
Then, operating cycle will be:
= Average collection period + Average age of inventory
= 25 days + 70 days
= 95 days
One year, Joey Chestnut won a hot dog eating contest by eating 66 hot dogs
in 12 minutes. If he ate at a constant rate, fill in the blank in the ratio table
to determine how many hot dogs he can eat in 4 minutes.
HELP ME REALLY FAST PLSSSS IM BEGGINGG YOUUUUUU I NEED HELP RNNNN
Plz help will mark brainliest :)
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd
Answer:
A.
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
y=-3x-1
Step-by-step explanation:
if you put it in pint slope form first and then simplify it is the easiest way.
y-2=-3(x+1)
y-2=-3x-3
+2. +2
y=-3x-1
River collects old coins. He has four
less than twice as many rare nickels as
he does rare quarters. I the face value
of the coins is $3.65, Which system of
equations can be used to find n, the
number of nickels, and ç, the number of
quarters that he has?
a) 25n +59 = 365
29-4=n
b) 5n +59 = 3.65
49 +2=n
c) 5n + 256 = 365
29-4=
d) 5n + 259 = 365
49-2=n
e) 25n +59 = 365
49-2=n
9514 1404 393
Answer:
c) 5n +25q = 365
2q -4 = n
Step-by-step explanation:
The number of nickels (n) is 4 less than twice the number of quarters (q), so one of the equations is ...
2q -4 = n
The face value is 365 cents, so another equation is ...
5n +25q = 365
These equations seem to match choice C.
How much is left on the card after Carl has seen the maximum number of movies
Answer:
how much was on it and how many is the maximum movies
Step-by-step explanation:
29. My grandson makes wall hangings by stitching
together 16 square patches of fabric into a 4 x 4
grid. I asked him to use patches of red, blue,
green and yellow, but to ensure that no patch
touches another of the same colour, not even di-
agonally.
The picture shows an attempt which fails only
because two yellow patches touch diagonally.
In how many different ways can my grandson
choose to arrange the coloured patches correctly?
9514 1404 393
Answer:
168
Step-by-step explanation:
Below are shown the 7 different kinds of arrangements that can be made. Each of these can be permuted into 24 different arrangements by assigning colors in a different order than the one used here:
{1, 2, 3, 4} ⇒ {green, blue, red, yellow}
Then the total number of possible correct colorings is 7·24 = 168.
__
These colorings were found using a computer program that identified all 168 viable colorings, then eliminated permutations. It started by identifying ways to color 2 rows, then adding rows based on that.
_____
You'll notice that the last on the attached list most closely matches the one in the problem statement.
Given the functionſ defined by the formula f(x) = 2x +1 find the following:
Answer:
f(4) is 9
f(-5) is -9
f(0) is 1
f(1/2) is 2
Meghan earns 20.00 dollars by walking dogs. She uses all of her earnings to buy a shirt for 12.85 dollars and some stickers for 0.65 dollars each. How many stickers does she buy ?
Answer:
She bought 11 stickers
Step-by-step explanation:
20 - 12.85
7.15
then
7.15/0.65
11
Answer:
the answer is 11 :D
Step-by-step explanation:
Im not sure but please correct me if im wrong!
Javier often orders party trays from his favorite Mexican food restaurant for company events. For a recent company event, he spent $259 on 4 burrito platters and 2 taco platters. For a company meeting, he spent $284 on 4 burrito platters and 4 taco platters. How much does each type of platter cost?
and
Jeff is a shoe salesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certain company. Yesterday, Jeff sold 8 pairs of shoes and 7 pairs of boots, earning $188 in commission. Today, he sold 8 pairs of shoes and 6 pairs of boots, earning a total commission of $168. How much does Jeff earn for the sale of each type of footwear?
Answer:
1. 1 Burrito Platter = $58.50 , 1 Taco platter = $12.50
2. One pair of boots = $20 , One pair of shoes = $6
Step-by-step explanation:
1. Let the cost of one burrito platter be x and one taco platter be y.
4x + 2y = 259 --- Equation 1
4x + 4y = 284 --- Equation 2
Equations 2-1: 4x + 4y - 4x - 2y = 284 - 259
2y = 25
y = 25 ÷ 2
y = 12.50 (Taco platter)
Substitute y = 12.50 into Equation 1:
4x + 2y = 259
4x + 2(12.50) = 259
4x + 25 = 259
4x = 259 - 25
= 234
x = 234 ÷ 4
x = 58.50 (Burrito platter)
2. Let the cost of one pair of boots be x and one pair of shoes be y.
7x + 8y = 188 --- Equation 1
6x + 8y = 168 --- Equation 2
Equations 1-2: 7x + 8y - 6x - 8y = 188 - 168
x = 20 (Boots)
Substitute x = 20 into Equation 2:
6x + 8y = 168
6(20) + 8y = 168
120 + 8y = 168
8y = 168 - 120
= 48
y = 48 ÷ 8
y = 6 (Shoes)
Simplify the fraction 44/77 as much as possible.
Answer:
4/7
Step-by-step explanation:
Teri begins walking east at 2 miles per hour at 1:00 pm. If cindy leaves from the same point 30 minutes later walking east at 3 miles per hour, when will she catch teri
Answer:
One hour after starting
Step-by-step explanation:
Let Teri walk at a rate of 2 miles per hour in time , t + 0.5, since it is 30 minutes ahead and 30 minutes = 0.5 hours, the distance he moves is d = 2(t + 0.5). Also, since Cindy moves at a rate of 3 miles per hour, and starts at time t, the distance d' she moves is d' = 3t.
Now, when they catch each other, the distance moved is the same.
So, d = d'
2(t + 0.5) = 3t
expanding the brackets, we have
2t + 2 × 0.5 = 3t
2t + 1 = 3t
collecting like terms, we have
3t - 2t = 1
simplifying, we have
t = 1
So, Cindy will catch Teri one hour after starting.
the marked price of a radio is Rs 960 and the shopkeeper allows 10percent discount calculate the discount amount how much should a customer pay for it
Answer:
864 rs
Step-by-step explanation:
10% of 960 is 96
960-96=864
Which student consumed the most calories?
Mario
Tim
Kim
Kia
Answer: Kia
Step-by-step explanation:
What function equation is represented by the graph?
f(x)=−4x−3
f(x)=1/4x−3
f(x)=−1/4x−3
f(x)=1/4x+3
Answer:
f(x)=1/4x-3
Step-by-step explanation:
y=mx+b
y-intercept is -3
-3=b
rise over round to find the slope
up 1 over 4
m=1/4
A ball is dropped from a height of 50 feet. The function f(x) = 50(0.6)x gives the height in feet of feet of each bounce, where x is the bounce number. What is the height of the third bounce to the nearest tenth of a foot?
Answer:
The height of the third bounce is 10.8 feet
Step-by-step explanation:
Let us solve the question
∵ A ball is dropped from a height of 50 feet
∵ The function f(x) = 50[tex](0.6)^{x}[/tex] gives the height in feet of each bounce
∵ x is the bounce number
∵ We need to find the height of the third bounce
∴ x = 3
→ Substitute x by 3 in the function above
∵ f(3) = 50(0.6)³
∴ f(3) = 50(0.126)
∴ f(3) = 10.8
∴ The height of the third bounce is 10.8 feet
what is the correct answer?
Given:
The function is
[tex]f(x)=(x+3)^2(x-5)^6[/tex]
To find:
The zeros of the given function.
Solution:
The general form of polynomial is
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex] ...(i)
where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros of respective multiplicities [tex]m_1,m_2,...,m_n[/tex].
We have,
[tex]f(x)=(x+3)^2(x-5)^6[/tex]
On comparing this with (i), we get
[tex]c_1=-3,m_1=2[/tex]
[tex]c_2=5,m_2=6[/tex]
It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.
Therefore, the correct option is B.
Please if you can show your work and explain
9514 1404 393
Answer:
15 days
Step-by-step explanation:
The cost for boarding is $18 each day. The cost for play-time is $6.75 each day. So, the charges for both add up to ...
$18 +6.75 = $24.75
each day.
The manners lesson is a flat fee added to the daily boarding charges, so for d days, the total bill is ...
$24.75·d +45.99 = 417.24 . . . . . equation relating days to cost
We solve this 2-step equation by first subtracting the constant on the left.
$24.75·d = $371.25
Then we divide by the coefficient of the variable:
d = $371.25/$24.75
d = 15
Your dog stayed at the kennel 15 days.
What common side do triangle CDE and triangle FED share?
pls help asap!!!
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
description
• 2.5 below sea level
Answer:
negative 2.5
Step-by-step explanation:
It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.
Does 4/10 simplify to 1/4?
No.
Yes.
Answer:
No.
Explanation:
4/10 cannot be simplified to 1/4. 4/10 is simplified to 2/5.
The decimal form is 0.4
Hopefully this is correct. Good luck with your studies.
4/10 = 2/5 which is not simplify to 1/4
so the answer is NO.
can someone please help explain this to me? i’ll give brainliest
Answer:
It's B/the 2nd one
Step-by-step explanation:
So first eliminate the third one because that says plus 4, the Y intercept is 3 so it has to be + 3 which leaves us we A, B, and D.
Then we can eliminate D, the slope is going downward, so it cannot be positive, and it's positive so that leaves us with A and B
The answer is B because of how steep the line is.
associative property 8×30
Answer:
I think you mean commutative property. 30 * 8
Step-by-step explanation:
This does not have parentheses around anything. To solve with commutative property switch the digits.
