Answer
Since one recipe makes 60 cookies, we can write the unit fraction LaTeX: \frac{1\text{ recipe}}{60\text{ cookies}}1 recipe 60 cookies. Since one recipe uses 1.5 cups of butter, we can write the unit fraction LaTeX: \frac{1.5\text{ cups butter}}{1\text{ recipe}}1.5 cups butter 1 recipe. And since 1 cup = 16 Tbsp., we can write the unit fraction LaTeX: \frac{16\text{ Tbsp}}{1\text{ cup}}16 Tbsp 1 cup.
Multiply:
LaTeX: \frac{150\text{ cookies}}{1} \cdot \frac{1\text{ recipe}}{60\text{ cookies}} \cdot \frac{1.5\text{ cups butter}}{1\text{ recipe}} \cdot \frac{16\text{ Tbsp}}{1\text{ cup}}150 cookies 1 ⋅ 1 recipe 60 cookies ⋅ 1.5 cups butter 1 recipe ⋅ 16 Tbsp 1 cup
= LaTeX: \frac{150(1)(1.5)(16)}{1(60)(1)(1)} 150 ( 1 ) ( 1.5 ) ( 16 ) 1 ( 60 ) ( 1 ) ( 1 )
= 60 Tbsp. butter
To make 150 cookies 60 tablespoons of butter is needed.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
From the given information we can solve this problem by using the proportional method.
Assuming 'x' cups of butter is needed to make 150 cookies.
Therefore,
60 : 1.5 : : 150 : x.
60/1.5 = 150/x.
60x = 225.
x = 225/60.
x = 3.75 cups.
Also given that 1 cup is equal to 16 tablespoons.
Therefore, 3.75 cups is equal to (3.75×16) tablespoons.
= 60 tablespoons.
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Write an expression that is equivalent to 5(6 + y)
Answer:
hi
Step-by-step explanation:
Answer:
2(10 + y)
Step-by-step explanation:
There are more like this 6(5 + y)
30 + y
Hope you got it.
a) Find the critical numbers of
f
f
(if any).
b) Find the open interval(s) on which the function is increasing/decreasing
c) Apply the First Derivative Test to identify all relative extrema
find the factorization of the polynomial below 49x2+70+25
Answer:
(7x + 5) (7x+5)
Step-by-step explanation:
Hope this helps
Janice has started a job selling luxury
1 golf carts and was offered an option of 2 differnt pay schedules. OPTION A: $63,000/year OPTION B: $2225/month plus 3.25% commission on the amount of all her sales.
What is the amount of sales he must
reach each month in order for
OPTION B to be the most beneficial
for her?
-24 - (-6) = -24 + 6
True or False.
Answer:
True
Step-by-step explanation:
When you have 2 negative together they will become a positive (5- (-2) = 7)
Answer:
True
Two neg. make a pos.
-24-(-6) would become -24+6=-18
There are 750ml of juice I drank 1/3 and my sister drank 2/5 of the total amount How many ml did my sister and I drink altogether
The rabbit population in a certain area is 200% of last years population there are 1,100 rabbits this year, how many were there last year?
Answer:
550
Step-by-step explanation:
1100/2=550
(can I get brainliest please)
PLZ HELP!!! BRAINLY GUARANTEED
Which set represents the domain of the function?
{x|x≥3}
{x|x≥−2}
{x|x≥0}
{x|x≥−3}
Which of the following correctly describes the end behavior of the polynomial
function, f(x) = 2x4 - 3x2 + 2x?
A. The left end goes up and the right end goes down.
B. Both ends go down.
C. Both ends go up.
D. The left end goes down and the right end goes up.
Answer:
both ends go up
Step-by-step explanation:
Consider a system with sampling rate 52,500 samples per second.
(a) Determinethe maximum frequency of the pre-sampled signal if the system utilizes 18% oversampling.
(b) Determine the percentage oversampling if the maximum frequency from part (a) isincreased by 10%.
Answer:
The answer is "[tex]22,246 \ H_z \ \ and \ \ 7.3\%[/tex]"
Step-by-step explanation:
The sampling rate: [tex](f_s) = 52,500 \ \frac{samples}{sec}[/tex]
In point a:
The sample signal frequency = f
They recognize that the id [tex]\geq[/tex] 2f sampling frequency could be returned to its original signal unless the aliase effect is detected elsewhere, Yet under percentage =18%
[tex]\ sampling \ rate = 2 \times 1.18 \times f[/tex]
[tex]\to f = \frac{52,500}{2 \times 1.18}\\\\[/tex]
[tex]= 22,246 \ h_z[/tex]
In point b:
Maximum 22,242 frequency is increased by [tex]10 \ \%[/tex]
[tex]f_a =22,246 \times 1.1[/tex]
[tex]= 24,470.6\\\\=24,471[/tex]
[tex]\ sampling \ rate= x \times 2 \times 24,2471 \\[/tex]
[tex]x= \frac{52,500}{48,942} \\\\x= 1.073\\\\[/tex]
over sampling percentage [tex]= 7.3 \ \%[/tex]
4.875 rounded off to the nearest hundredth
Answer:
4.88
Step-by-step explanation:
Answer:
4.88
Step-by-step explanation:
What fraction of state legislatures must approve an amendment before it becomes law
Answer:
3/4.
Step-by-step explanation:
The process of amendments to the Constitution of the United States is established and specified in Article V of said regulation. This process can be initiated by Congress or by the state legislatures, and once the amendment is approved by them, the legislatures of at least 3 out of 4 states (75% of the total) must ratify the amendment so that it becomes operative and is inserted into the constitutional text.
While printing material from the Internet, Greg used 10 pages of paper from a package of 500 sheets of paper. What percent of the paper did he use?
Answer:
2%
Step-by-step explanation:
The percentage of paper used is 2%
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.
In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).
Answer:
the points are starting at 5y and the slope line goes up to (6, 1) and goes down to (-1, 4 ), (-2, 3), (-3, 2) and (-4, 1) The graph has 1x +5
going to desmos to graph it out you can see the slpe line going through (-4, 1) (-3, 2)
11 students in the Environmental club represent 4% of the students in the seventh grade. How many students are in the seventh grade?
Answer:
275
Step-by-step explanation:
The best way to do this is to set it up in this equation:
4/100 = 11/x, in this, the 4 over 100 represents 4% out of 100%. The 11 over x represents the 11 students out of x amount of students. With this equation, you cross multiply to get 4x = 1100. Then you divide both sides by 4 to get x by itself. This will give you x=275
After solving the equation, the total number of students in the 7th grade is 275.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the data mentioned in the question,
Total number of students in the Environmental club = 11
Percentage of students from 7th grade = 4%
Let the total number of students in 7th grade be x
Then, the equation according to the statement will be,
4% of x = 11
So,
x = (11 × 100)/4
x = 275
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Find the value of x.
(8x+19)(9x+9)
Please give step by step
SOLUTION STEPS
(8x+19)(9x+9)
Apply the distributive property by multiplying each term of 8x+19 by each term of 9x+9.
72x 2 +72x+171x+171
Combine 72x and 171x to get 243x.
72x 2 +243x+171
hopefully my weird explanation helped
Which of the ratios below is equivalent
to 5:2? Select all that apply.
A) 6:3
B) 10:25
C) 20:8
D) 10:4
E) 30:12
Answer: C, D, and E
Step-by-step explanation:
5/2 * 4/4 = 20/8
5/2 * 2/2 = 10/4
5/2 * 6/6 = 30/12
Answer:
C,D,E
Step-by-step explanation:
Hope this helps
The results of a recent survey showed that the average cost to rent a car for a week is $276. If the standard deviation is $60,
find the Z-score for a weekly rental of $423.00?
a. 2.45
B. 4.6
C. 7.05
D. -1.88
The Z-score for a weekly rental is 2.45 which is the correct answer would be option (B).
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given the average cost to rent a car for a week is $276
And the standard deviation is $60
To determine the Z-score for a weekly rental of $423.00
Here,
ц = 276
σ = 60
X = 423
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (423 - 276)/60
⇒ z-score = 147/60
⇒ z-score = 2.45
Hence, the z-score for a weekly rental is 2.45.
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find the distance between (9,3) and (5,-3) in simplest radical form
Answer:
[tex]d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 3)
Point (5, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(5-9)^2+(-3-3)^2}[/tex]Subtract: [tex]d = \sqrt{(-4)^2+(-6)^2}[/tex]Exponents: [tex]d = \sqrt{16+36}[/tex]Add: [tex]d = \sqrt{52}[/tex]Simplify: [tex]d = 2\sqrt{13}[/tex]Create a table for the equation with a y-intercept of 15 and a slope of -5. What is the output when x is -10?
x y
-2
-1
0
1
2
-6 ?
Answer:
The output is 65 when x is -10.
Step-by-step explanation:
y=mx+b is the easiest form to understand visually what the slope and intercept is.
m is the slope and b is the y-intercept. Replace both of these variables respectively with their appropriate values. In this case, the slope (m) is -5 and y-intercept is 15.
Equation looks like this: y=-5x+15
What is the output when x is -10? Replace x with 10, and your output is the y value.
[tex]y=-5(-10)+15\\y=50+15\\y=65[/tex]
Larry ordered 5 1/2 subs. He wants to share the subs with 4 friends and himself. Larry thinks they will each
receive 1 1/4 subs. Is Larry correct? Why or why not?
Find the slope of the line that passes through the points (1,-4) and (3, -1).
Answer:
use cymath it really helps with finding slopes
Step-by-step explanation:
Select the correct answer. What is the solution to the equation |5 − x| = 13? A. x = -8 or x = 18 B. x = -18 or x = 8 C. x = 8 D. x = -18
Answer: A) X = -8 or X = 18
Step-by-step explanation:
Since we're dealing with absolute value, there are going to be two different solutions to this equation.
5 - x = 13
-x = 8
x = -8
OR
5 -x = -13 ( the negative is from the absolute value)
-x = - 18
x= 18
The value of x is either -8 or 18 (option A)
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given is an equation, |5-x| = 13
Solving the equation,
|5-x| = 13
When we will remove the modulus, we will get two conditions,
5-x = 13 or 5-x = -13
Solving both one by one,
5-x = 13
x = -8
And,
5-x = -13
x = 18
Hence, the value of x is either -8 or 18
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What is 15/60 written as a decimal
Answer:
0.25
Step-by-step explanation:
The fraction [tex]\frac{15}{60}[/tex] ⇒ simplifies to [tex]\frac{1}{4}[/tex], and [tex]\frac{1}{4}[/tex] as a decimal is 0.25
Hope this helps! :)
One house sitter charges $40 a day. Another house sitter charges an initial fee of $100 plus $15 per day. After how many days is the fee charges by the two sitters the same? is it 4, 2, 8, or 16?
Answer:
4
Step-by-step explanation:
40 x 4 = 160
100 + (15 x 4) = 160
15x4=60, btw
Question 2
1 pts
Seven friends compared vacation plans. All are planning to drive to their destinations.
Find the median distance for the seven travelers.
Distance in
Friend
km
1
435
2
158
3
254
450
4
5
192
219
6
7
457
192 km
Write and solve the expression:
The difference of 27 and 21 times the sum of 17 and 3
Answer:
447
Step-by-step explanation:
Answer within 5 minutes, and get brainliest!
What is -2(3x+12y-5-17x-16y+4) simplified?
Answer:
28+8+2
Step-by-step explanation:
-2(3x+12y-5-17x-16y+4)
-2(3x+12y-1-17x-16y+4)
-2(3+12-1-17-16)
-2(-14+12-1-16)
-2(-14+12-1-16y)
-2(-14-4-1)
-2(-14-4-1)
28+8+2
David is buying a cheese wheel priced at $14 before tax. The store charges 8%, percent sales tax
THE ANSWER IS 15.12
Answer:
15.12
Step-by-step explanation:
14*1.08
15.12