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.
Express z 1 = 17 [ cos ( π ) + i sin ( π ) ] z 1 =17[cos(π)+isin(π)]z, start subscript, 1, end subscript, equals, 17, open bracket, cosine, left parenthesis, pi, right parenthesis, plus, i, sine, left parenthesis, pi, right parenthesis, close bracket in rectangular form. Express your answer in exact terms.
Answer:
z1 = -17 + 0i
Step-by-step explanation:
Given the complex number z1 =17[cos(π)+isin(π)], we are to express it in rectangular form as shown;
Since cos(π) = -1 and sin(π) = 0, the equation becomes;
z1 =17[cos(π)+isin(π)]
z1 =17[(-1)+i(0)]
z1 = 17(-1 + 0i)
z1 = -17 + 0i
Hence the complex number in rectangular form is expressed as z1 = -17 + 0i
What is the probability of NOT landing on CAT?
Answer:
I believe it would be A, 1/2
what is the slope of the graph?
Answer:
4 over 1 is the slope. of this table
Answer:
4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(0, 6)
(- 1, 2)
m = [tex]\frac{2-6}{-1-0}[/tex] = 4
y = 4x + 6
There are 49 female performers in a dance recital. The ratio of men to women is 2:7. How many men are in the dance recital? There are men in the dance recital.
Answer:
Number of men= 13.99 = 14
Step-by-step explanation:
Giving the following information:
There are 49 female performers in a dance recital. The ratio of men to women is 2:7.
First, we determine the proportion of men to women:
Proportion men to women= 2/7= 0.2857
Now, we calculate the number of men in the show:
Number of men= 0.2857*49
Number of men= 13.99 = 14
Convert into vertex form. Give the vertex.
y = 3x² – 24x + 46
Answer:
Vertex form: [tex]y = 3(x - 4)^2 - 2[/tex]
Vertex: (4, -2)
Step-by-step explanation:
Hello!
We have to complete the square, and then simplify.
Solve:[tex]y = 3x^2 - 24x + 46[/tex][tex]y = 3(x^2 - 8x) + 46[/tex]The equation in vertex form is [tex]y = 3(x - 4)^2 - 2[/tex]
The vertex is (4,-2)
Vertex formVertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.
I've been struggling on this problem for a while I would realize like some help
Answer:
situation 1 is (80%)
situation 2 is (95%)
situation 3 is (33 1/3%)
situation 4 is (15%)
Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest
Step-by-step explanation:
4/3 = -6e - 5/3
6e = -4/3 - 5/3
6e = -9/3 = -3
e = -0.5
Answer:
The equation is always false
Step-by-step explanation:
Which value could replace x in the table?
O 30-gtg
O 3(30 -9)
O 30-g(3)
O 30-g+3
Pls help ;(
He bought 10 pounds of Golden apples and 20 pounds of Fuji apples
which costs him $20 and $60.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Let Fuji apples be F and Golden apples be G.
In total, he bought 30 pounds of apples.
∴ F + G = 30...(i)
And,
He bought 3 pounds of Fuji apples and 2 pounds of Golden apples.
3F + 2G = 80...(ii)
Now, multiplying eqn(i) by 3 and subtracting from (ii) we get G = 10 and hence F = 20.
So, he bought 10 pounds of Golden apples and 20 pounds of Fuji apples
which costs him $20 and $60.
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Sasha has a 35% off coupon. Her total before tax came to $23.00. How much did the item originally cost? (round to the nearest hundreds) PLS help!! (middle school and pls show work)
Answer:
The original cost of the product was $35.68.
Step-by-step explanation:
As Sasha has a discount coupon of 35%, the final amount that he will pay is 65% of the initial value of the product (100 - 35). Thus, 65% of the value is $ 23. Therefore, to determine the initial cost of the product, it is necessary to perform the following calculation:
65 = 23
100 = X
((100 x 23) / 65) = X
2,300 / 65 = X
35.68 = X
Therefore, the initial value of the product was $ 35.68.
What is the difference?
(-4x + 3) - (7x - 3x2 - 1)
Answer:
-5x + 4
Step-by-step explanation:
Solve for x. The answer needs to be simplified: 2x<15
Answer:
x < 15/2
Step-by-step explanation:
Step 1: Divide both sides by 2.
2x/2 < 15/2
x < 15/2
Please help! the photo is below
Answer:
8 Green beads
Step-by-step explanation:
12 divided by 3 = 4
4 times 2 = 8
ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.
Answer:
8.50f + 3.00h = 24
Step-by-step explanation:
4.) Aaron bought a new belt for school that was 30% off the regular price of $60. What was the
price of the belt?
A.) $18.00
B.) $42.00
C.) $60.00
D.) $78.00
The first column contains five pairs of relationships. Determine if each pair forms
a proportional relationship. Mark *Proportional" or "Not Proportional" for each
relationship in the table on your answer document.
5x^2-2x=2
help plsmmm
Answer:
Presumably you're solving for x here? Without further information we'll assume that.
With that in mind, x is approximately equal to 0.86 and -0.46
Step-by-step explanation:
Let's start by putting it in the usual ax² + bx + c format.
[tex]5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\[/tex]
let's solve it. First we'll multiply both sides by five, making the first term a perfect square:
[tex]25x^2 - 10x - 10 = 0\\[/tex]
Now we'll add 11 to both sides:
[tex]25x^2 - 10x + 1 = 11\\[/tex]
Which makes the left side a perfect square:
[tex](5x - 1)^2 = 11[/tex]
And now we can solve for x:
[tex](5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}[/tex]
Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.
That gives us two answers:
[tex]x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86[/tex] [tex]x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46[/tex]
7th grade math help me pleaseee :)
Answer:
answer of 2a)
He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then
24–16=a
His new account balance is $8.
He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then
8+b=28
His deposited $20 in his account.
He has $28 and spent $34. Let c represent his account balance after he bought the book. Then
28–34=c
His new account balance is -$6.
He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then
−6+d=0
He deposited $6.
answer of 2b)
If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.
please give me brainliest:))
I will give you brainlest plzzzz helppp!!!
Answer:
The measure of angle Q is 133 degrees
Step-by-step explanation:
(x + 13) + (10x + 13) + (2x - 2) = 180 //There are 180 degrees in a triangle
x + 13 + 10x + 13 + 2x - 2 = 180 //Remove parentheses
13x + 24 = 180 //Combine like terms
13x = 156 //Subtract 24 from each side
x = 12 //Divide to get value of x
10(12) + 13 = Measure of angle Q //We know Q is 10x + 13, since we know what x is 12 from the previous step we'll substitute x for 12
120 + 13 = Measure of angle Q //Multiple 10 and 12
133 = Measure of angle Q
Yesterday, the temperature at noon was 22.5 degrees. By midnight, the temperature had decreased by 27.7 degrees. What was the temperature at midnight?
Answer:
54.23
Step-by-step explanation:
If that not a choice simpfly
please help!!! I'm really confused and it's due soon!
Answer:
Step-by-step explanation:
1.A
2.C
3.D
4.C
5.B
6.D
if these are wrong just do the flipped sign version so that would be
1.B
2.D
3.C
4.D
5.A
6.C
Tell whether the ordered pair (4, -2) is a solution to
2x - y > -5
y <-3x - 3
Kristin bought 8 books for a total of $238.60. Math books cost $29.60 and
English books cost $29.90. How many of each type of book did she buy?
Answer: 2 Math books and 6 English books
what is the percent of change from 4,000 to 7,000
Answer:
(7000-4000) will make 4000x100 =
(7000:4000-1)x100 =
175-100 = 75
the percentage increase from 4000 to 7000 by 75%
Answer:
75%
Step-by-step explanation:
(7000-4000):400*100
(7000:4000-1)*100
175-100= 75
75%
Jeffery and carrie deposit 800.00 into an savings account which earns 4%interest compounded quarterly they want to use the money in the account to go on a trip in 2 years how much will they be able to spend
Answer:
866.29Step-by-step explanation:
Deposit = 800Interest rate = 4% compounded quarterlyTime = 2 yearsNumber of compounds:
2 / 1/4 = 8Saving amount at the end of 2 years:
800*(1 + 0.04/4)^8 = 866.29please help , would be greatly appreciated !
Answer:
x = 2
y = -1
Step-by-step explanation:
8x + 2y = 14
2x + y = 3
In order to find the number x represents, you have to make the number of y for both equations the same. So:
8x + 2y = 14
(×2) 4x + 2y = 6 (×2)
Then, you can cancel the y off both equations, which will leave:
8x = 14
4x = 6
To find 4x, you have to find the difference between both equations, so you have to:
14 - 6 = 8
Now that the actual number 4x represents is 8, so:
4x = 8
(÷4) x = 2 (÷4)
Now to find y, substitute the letter x with 2:
2x + y = 3
2 (2) + y = 3
4 + y = 3
4 - 3 = -y
1 = -y
(× -) -1 = y (× -)
Answer: x = 2
y = -1
Hope this helps! :)
(NOTE: Do you mind marking me as Brainliest?)
Madison is a high school basketball player. How many points would Madison score in a game if she made 8 free throws (worth one point each) and 6 three point shots? How many points would Madison score in a game if she made xx free throws and yy three point shots?
Answer: 26; 1x + 3y
Step-by-step explanation:
a. The number of points that Madison would score in a game if she made 8 free throws (worth one point each) and 6 three point shots would be:
= 8(1) + 6(3)
= 8 + 18
= 26 points
The number of points that Madison would score in a game if she made x free throws and y three point shots would be:
= 1(x) + 3(y)
= x + 3y
Answer:
26 and 1x+3y
Step-by-step explanation:
26 and 1x+3y
Im confused on this:
Evaluate: 4+8÷2x (6-3)
Answer:
hello there
ok so the answer is 4 + [tex]\frac{4}{3x}[/tex]
Step-by-step explanation:
hope this helps!
Answer:
12x+4
Step-by-step explanation:
We can solve this by using PEMDAS (parentheses exponents multiplication division addition subtraction) to solve this in the correct order:
4+8÷2x (6-3)
So first we solve (6-3) since it’s in parentheses:
4+8÷2x (3)
Now we multiply 3 times 8/2x:
4+8/2x(3)
4+12x
(Put in order)
12x+4
And that^ is the answer because we cannot simplify any further!
Hope this helps :)
PLEASE ANSWER! DOING A TEST!
Answer:
I believe its D
Step-by-step explanation:
its the same line just 10 units down, meaning it would be parallel and pass thru that point.
Answer:
I'm not supposed to help you if you are taking a test, but the answer would be letter D which is 1/2x
Step-by-step explanation:
Remember, parallel lines have the same slope. The only line that has the same slope as y = 1/2x + 10 is y = 1/2x
Hope this helps you ace the test!!! :)
Good luck!!!
What is the value of
-8(17-12)
————
-2(8-(-2)
-4
-2
2
4
Answer:
C. 2
Step-by-step explanation:
(-8(17-12)/(-2(8-(-2) = 2
What is the height of the flagpole?
A. 18ft
B. 676ft
C. 324ft
D. 24ft
Answer:
C
Step-by-step explanation:
The height of flagpole is 24ft.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
Given;
Hypotenuse=26ft
Base=10ft
Now,
Hypotenuse^2=base^2+Height^2
26^2=10^2+h^2
676=100+h^2
576=h^2
h=24
Therefore, by Pythagoras theorem the height will be 24ft.
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