Answer: 0.357
Step-by-step explanation:
Here is the remainder of the question:
What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar?
We are going to solve this by using direct proportion,
y = kx
where,
x = number of cups of sugar = 14
y = number of cups of strawberries = 5
k = constant of proportionality
We slot the values into y = kx
y = kx
5 = 14k
k = 5/14
k = 0.357
The constant of proportionality is 0.357
Which of the following statements about the graph of y= [tex]\frac{3}{4}[/tex]x −1 are true?
SELECT ALL THAT APPLY
A.) The slope of the line is 3/4
B.) The slope of the line is -1
C.) The line intersects the point (0,3/4)
D.) The line intersects the point (0,-1)
E.) The y-intercept is -1
F.) The y-intercept is 3/4
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!
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.
I need help with the problem
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
a price of a sweter was reduced from $20 to $12 . By what percentege was the price of the sweter reduced?
Answer:
im pretty sure its 40%
Step-by-step explanation:
Answer:
The sweater is 40% off
Step-by-step explanation:
30 points for the right answer!
Answer:
The correct answer is Line EA and Line FG
Step-by-step explanation:
What is the value of the expression 2 Superscript 6?
Answer:
2x2x2x2x2x2 is 64
Step-by-step explanation:
The value of the equations is S = 64
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 2⁶
On simplifying the equation , we get
A = 64
Therefore , the value of A = 64
Hence , the equation is A = 64
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help me fast please.
Answer:
the answer would be (-4,-6)
Step-by-step explanation:
hope this helps ya
good luck!!!!!
ASAP ASAP ASAP ASAP...
Find the value of x when 6 - 4x = 6x - 8x + 4. The value of x
Answer:
1
Step-by-step explanation:
6 - 4x = 6x - 8x+ 4
6 - 4x = -2x + 4
-4x + 2x = 4 - 6
-2x = -2
x = -2/-2
x = 1
hope you understood❤
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
is y = 17 X +2 proportional
Answer: No it is not proportional
All direct proportion equations are in the form y = kx, for some fixed number k.
If we had y = 17x, without the 2 at the end, then it would be in the form y = kx with k = 17. In other words, y = 17x is a direct proportion equation.
The 2 at the end is why we don't have a direct proportion equation. The y intercept must be 0. All direct proportion equations go through the origin.
ASAP help I don’t have time! It detects if it’s right or not:(((
Answer:
I'm pretty sure it's B! :)
20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answer:
The second one is the answer
Answer:
second one LOL
Step-by-step explanation:
can 15,316 be evenly divided by 4
Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Divide 15316 by 4 to get a whole number if the number has a remainder the number cannot be divided by 4 evenly :)
the perimeter of a pool table is 30ft. The table is twice as long as it is wide. What is the length of the pool table?
10 ft pls like if it helped
Which expression is equal to 6 to the 4th power? A. 10 B. 24 C. 4 to the sixth power D. 6x6x6x6
Answer:
D. 6x6x6x6
Hope this helped! :)
Answer:
The answer is D.
Step-by-step explanation:
6 to the 4th power expanded is 6x6x6x6.
The area of a rectangular mirror is 15 7 16 square feet. The width of the mirror is 3 1 4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit?
Given:
Area of rectangle = [tex]15\dfrac{7}{16}[/tex] sq. feet.
Width of the mirror = [tex]3\dfrac{1}{4}[/tex] feet.
To find:
Whether it will fit on the wall whose length is 5 foot.
Solution:
We know that, area of a rectangle is
[tex]Area=length\times width[/tex]
[tex]\dfrac{Area}{width}=length[/tex]
Substituting the given values, we get
[tex]Length=\dfrac{15\dfrac{7}{16}}{3\dfrac{1}{4}}[/tex]
[tex]Length=\dfrac{\dfrac{15\times 16+7}{16}}{\dfrac{3\times 4+1}{4}}[/tex]
[tex]Length=\dfrac{\dfrac{240+7}{16}}{\dfrac{12+1}{4}}[/tex]
[tex]Length=\dfrac{\dfrac{247}{16}}{\dfrac{13}{4}}[/tex]
[tex]Length=\dfrac{247}{16}\times \dfrac{4}{13}[/tex]
[tex]Length=4.75 [/tex]
So, length of mirror is 4.75 feet which is less than 5 feet.
Therefore, the mirror will fit on the wall.
Your meal plan allows you 500 dollars to use per month. So far this month, you have used 345 dollars and you have 9 days left on this month's plan. Which inequality could you use to determine how many dollars at most you can use per day so that you don't go over your monthly plan dollars?
500 inequality (>) 345 x 9 days
What is the equation of the line in slope-intercept form
Answer:
y=1/3x+45
Step-by-step explanation:
What is the measure of AX, in degrees?
N
6
Х
6
70
у
Answer:
C
Step-by-step explanation:
Since XY = XZ = 6, then the triangle is isosceles.
The base angles are therefore congruent, that is
∠ Y = ∠ Z = 70°
The sum of the 3 angles in the triangle = 180°, thus
∠ X = 180° - (70 + 70)° = 180° - 140° = 40° → C
1. Twice a number added to three times a number, subtract ten. a. 2n + 3 +n - 10 b. 3n + 2n - 10 c. 2+n +3n +10 d. 10 - 2n +3n
b
2n is the same as twice a number added by itself and 3n is the same as 3 times a number then it has minus 10
which relation is a function
Answer:
should be B..........
A line contains the points (10,7) and (5,-8). Write the equation of the line.
Can someone help me please
Answer: it should be x
Step by step explanation: the x table changes at a rate of 6 when the y table changes at a rate of 4
Mary has been saving her weekly allowance for the past 20 weeks. She started with $100 and now has $300. Which equation can be used to find the amount of money Mary receives for her weekly allowance?
Answer:
Step-by-step explanation:
You should set this up as an y = mx + b equation. Since 300 is her final number, that will be your y value. She started with 100, so that will be your b value. 20 is the number related to the variable you don't know so that will be your m.
300 = 20x + 100
-100 -100
200 = 20x
divide both sides by 20
10 = x
help!!!!!!!!!!!!!!!!!
Answer: B. -2a^2 + 3a -6
Step-by-step explanation: Hope this helps!
Which statement is true about function f, which is shown in the graph? f(x) -8x⁵+ 4x³+5x?
A. Function f is neither even nor odd.
B. Function f is even.
C. Function f is odd.
D. function f is both even and odd.
Answer:
f(-x)=-f(x)
So, Function f is odd
Option C is correct.
Step-by-step explanation:
Which statement is true about function f, which is shown in the graph?
f(x)= -8x⁵+ 4x³+5x?
Function is even if f(-x)= f(x)
and function is odd if f(-x)=-f(x)
Putting x=-x and finding f(-x)
f(-x)=-8(-x)^5+4(-x)^3+5(-x)
f(-x)=-8(-x^5)+4(-x^3)-5x
f(-x)=+8x^5-4x^3-5x
f(-x)=-(-8x^5+4x^3+5x)
f(-x)=-f(x)
So, Function f is odd
Option C is correct.
The function f(x) = -8x⁵+ 4x³+5x is an odd function option (C) Function f is odd is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = -8x⁵+ 4x³+5x
Plug x → -x
f(-x) = -8(-x)⁵+ 4(-x)³+5(-x)
f(-x) = 8x⁵- 4x³-5x
f(-x) = -( -8x⁵+ 4x³+5x)
f(-x) = -f(x) (condition for odd function)
Thus, the function f(x) = -8x⁵+ 4x³+5x is an odd function option (C) Function f is odd is correct.
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The table shows a linear function.
Which equation represents the function?
