Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?
Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of [tex]1\dfrac14[/tex] cups of flour and [tex]\dfrac12[/tex] stick of butter.
Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex] [tex]y_1=\dfrac{1}{2}[/tex]
For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]
Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
15/2 cups of flour!
A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.
Answer:
$24147.50Step-by-step explanation:
Step one:
given
principal=$7420
rate = 5.9%= 0.059
time = 20years
Step two:
Required
Final amount V
using the relation
[tex]V = Pe^{rt}[/tex]
Substituting we have
[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]
To the nearest cent
= $24147.50
The amount of money in the account after 20 years is $24147.50
The table shows a linear function.
Which equation represents the function?
If x= 2 what does y equal
Answer:6
Step-by-step explanation:
4.8(x)+1.2(y)=2.4
y would equal -6.
4.8(2)+1.2(y)=2.4
9.6 + 1.2y = 2.4 subtract 9.6 from both sides
1.2y = - 7.2 divide by 1.2 on both sides
y = -6
PLEASE ANSWER WILL MARK AND 5 STARS PLEASE I BEG OF U
Which one is the best Rate
Answer:
venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go
The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.
According to what I heard :3
Hope This Helped! May I have Brainliest? <3
Lonny is serving soup for charity. Each bowl holds 2.15 cups of soup. How many bowls will Lonny use if he serves a total of 94.6 cups of soup?
Elsie has two bags, each containing x counters. Write an expression for the total number of counters Elsie has.
Answer:
Y=2x
Step-by-step explanation:
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = [tex] \frac{E}{h} [/tex]
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]
What is y+3=4(x-1) in Slope intercept form ?
Neurons are brain cells. Where would a new neuron come from?
Answer:
New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.
Step-by-step explanation:
Use the inverse relationship to complete the expression.
If i = square root of -1, then t^2= ?
Answer:
revertive is correct. The answer is -1
Step-by-step explanation:
HELP ME WITH THE ANSWERS NOW
!!
Answer: QPR=31
Step-by-step explanation: first you would combine 3x and 7x which equals 10x. Then you combine -95 and -38 which equals -133. then you set up an equation like 10x - 133 = 47. Add 133 to both sides. 10x = 180. Divide both sides by 10. X= 18. 18 times 7 equals 126. 126 - 95 equals 31
How do I find the x in this special triangle?
Answer:
x=5
Step-by-step explanation:
a^2+b^2=c^2
a=4
b=3
c=x
4^2+3^3=x^2
16+9=x^2
25=x^2
5=x
i need help asap!!!!!
Answer: it’s A
Step-by-step explanation:
it’s the only one that has a set pattern for the numbers
Draw a number line diagram and write an expression to represent this situation: "On Tuesday at lunchtime, it was 29 ∘C. By sunset, the temperature had dropped to 16 ∘C.
Answer:
Step-by-step explanation:
look at the png
What is the mode of the following numbers? 12, 11, 14, 10, 8, 13, 11,9
Answer:
11 is the mode
Step-by-step explanation: it appears the most
If A= 1, Be= 7, then ADD=?
Answer:
D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D
What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
What is X-y=-1 written in y=mx+b form?
Answer:
y = x + 1
Step-by-step explanation:
Find the slope from the table:
Answer: m=-5/3
Step-by-step explanation:
Given these two data sets, IQ-GPA and IQ-SAT, how would you predict Justin’s SAT score based on his GPA? Explain.
Answer:
First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.
Step-by-step explanation:
have a great day!
Answer:
First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.
Step-by-step explanation:
it was correct on edge
30 points for the right answer!
Answer:
The correct answer is Line EA and Line FG
Step-by-step explanation:
IM IN A RUSH PLZ HELP ME WILL GIVE BRAINEST!
Jenna's family is planning a trip to Oceanside, California. They will begin their trip in Scranton, Pennsylvania and will travel 2,754 miles over 9 days. If the family travels an equal number of miles every day, how far will they travel?
Answer:
I believe they will travel 306 miles in a day
Step-by-step explanation:
if you divide 2,754 by 9 it equals 306. I hope this helps.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
Answer:
Slope = 2
Step-by-step explanation:
To find slope, you use the formula [tex]\frac{y1-y2}{x1-x2}[/tex]
[tex]\frac{4-12}{2-6} = \frac{-8}{-4} = 2[/tex]
So the slope = 2
Can I get brainliest please? Thanks.
Use the table and graph that relates dog ages to human ages to
following question.
question: would there ever be one year assigned to two different quantities? explain.
please help ill mark brainlest and like and rate your answer.
Answer:
No
Step-by-step explanation:
Which expression can be used to find 25 percent of 88?
StartFraction 1 Over 25 EndFraction times 88
One-fourth times 88
StartFraction 1 Over 0.25 EndFraction times 88
StartFraction 1 Over 40 EndFraction times 88
Answer: 25/100* 88
Step-by-step explanation:
Answer:
88?
Step-by-step explanation:
What is the value of x?
Enter your answer in the box
An election campaign organizer bought 20,000 buttons to hand out for a candidate. The organizer handed out 14,000 of the buttons before receiving the next shipment of 15,500 buttons. On the day of the election, the organizer handed out another 18,250 buttons. How many buttons were left after the election?
Answer: 3,250
Step-by-step explanation:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
