1 1/3 cups of raisins are needed to make 1/2 of a recipe
To find the quantity of raisins for half of the recipe, which originally called for 2 2/3 cups, you'd divide 2 2/3 cups by 2, which equals 1 1/3 cups.
Explanation:
This is a question about fractions and division. If a full recipe requires 2 2/3 cups of raisins and you want to make just 1/2 of the recipe, you need to divide the quantity of the raisins by 2.
In fraction form, 2 2/3 is equivalent to 8/3 (as 2*3 + 2 = 8). Then, to find half of this amount, we divide 8/3 by 2. We can do this by multiplying 8/3 by 1/2, which gives us 4/3. Therefore, 1/2 of the recipe requires 4/3, or 1 1/3 cups of raisins.
Learn more about fractions here:https://brainly.com/question/33564650
#SPJ3
Gary mails 10^3 flyers in one week so how many did he mail
The nation of Swampastan produces only two goods, chips and dip. Calculate the GDP for Swampastan if dip retails for $3.00 a pound and 10 pounds are produced while chips sell for $2.00 a pound and 20 pounds are produced.
A) $1,200.00
B) $150.00
C) $30.00
D) $70.00
Answer:
The answer would be D.) $70.00
Step-by-step explanation: First multiply $3.00 by 10, so 3*10=30. Then you multiply $2.00 by 20, so 2*20=40. Then add those together 40+30=$70.
What is vertex of this function? Is it a maximum or minimum value.
The vertex of the function corresponds to the maximum velocity of the particle.
Explanation:The vertex of a function corresponds to the maximum or minimum value of the function. In this case, the vertex corresponds to the maximum velocity of the particle. The maximum velocity occurs when the slope of the velocity function is zero, which is the point where the acceleration function crosses the x-axis.
Learn more about vertex of a function here:https://brainly.com/question/8878018
#SPJ3
Write a division equation that has a solution of -20
Final answer:
A division equation that has a solution of -20 can be written by dividing a negative number by a positive number, such as -100 divided by 5.
Explanation:
To write a division equation with a solution of -20, you can choose any two numbers such that the division of one number by the other equals -20. For example, if we take -100 and divide it by 5, we get -20 as the solution. Thus, a sample division equation could be:
-100 / 5 = -20.
This is because when you divide a negative number by a positive number, the result is negative, and -100 \/ 5 leads to the desired solution of -20.
Need help asap please! Which equation matches the graph shown?
A.Y=x^2-6x+2
B.Y=2x^2-4x+2
C.Y=x^2-2x+1
D.Y=-2x^2+4x-2
Answer:
The correct option is A.
Step-by-step explanation:
The vertex form of a parabola is
[tex]y=a(x-h)^2+k[/tex] ..... (1)
Where, (h,k) is vertex and a is a constant.
From the given graph it is clear that the vertex of the graph is (3,-7) and y-intercept is (0,2).
Substitute h=3 and k=-7 in equation (1).
[tex]y=a(x-3)^2-7[/tex]
The y-intercept is (0,2). So, substitute c=0 and y=2 in the above equation to find the value of a.
[tex]2=a(0-3)^2-7[/tex]
[tex]2+7=a(3)^2[/tex]
[tex]9=9a[/tex]
Divide both sides by 9.
[tex]1=a[/tex]
The value of a is 1.
Substitute a=1, h=3 and k=-7 in equation (1).
[tex]y=1(x-3)^2-7[/tex]
[tex]y=x^2-6x+9-7[/tex]
[tex]y=x^2-6x+2[/tex]
The equation of the parabola is [tex]y=x^2-6x+2[/tex].
Therefore the correct option is A.
Mary and Joe are trying to save money for a trip this summer. Mary start with $10 and earns $10 each week mowing lawn. Joe already has $20 from birthday gifts and earns five dollars a week pulling weeds. How many weeks will it take for Mary and Joe to have the same amount saved
ANSWERS
Find out the how many weeks will it take for Mary and Joe to have the same amount saved.
To proof
Let us assume that the number of week take for Mary and Joe to have the same amount saved be x.
As given
Mary start with $10 and earns $10 each week mowing lawn.
Joe already has $20 from birthday gifts and earns five dollars a week pulling weeds.
than the equation
10 + 10x = 20 +5x
5x = 10
x = 2 weeks
therefore 2 weeks will it take for Mary and Joe to have the same amount saved.
Hence proved
Consider the function f(x)=sqrt(5x-5)+1 which inequality is used to find the domain?
ANSWER = 5x-5 is greater than or equal to 0
Given function is
[tex]f(x)=\sqrt{5x-5}+1[/tex]
Now we have to find which inequality can be used to find the domain.
Given function is a square root function. We know that square root function is defined only for the positive values including 0. In other words expression inside the square root must be greater than or equal to 0.
In given problem, expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :
[tex]5x-5\geq 0[/tex]
which is same as your answer.
Hence your answer is correct.
Answer:
Step-by-step explanation:
answer is D
Which answer choice best describes f(x) = x - 12?
A. The relationship shows a direct linear variation with a constant variation of-12.
B. The relationship shows a direct linear variation with a constant of variation of 12.
C. The relationship shows a direct linear variation with a constant variation of 1.
D. The relationship does not show a direct linear variation.
D
a direct linear variation equation has the form f(x) = kx
f(x) = x - 12 is not in this form thus does not show a direct linear variation
Can someone help me on this
I know that i had it on a test its -2.11 Hope you ace it!
-2.11 hope this helps
Which polynomial represents the area of the rectangle?
A family of 2 adults and 3 children go to a play. Admission cost $8 per adult and $5 per child what expression would show the total admission cost for the family
answer=2X8+3X5=16+15=31
Factor the expression over the complex numbers.
x^2 + 20
Using complex numbers, you can have negative squares, since [tex] i^2=-1 [/tex]
So, you can find the solutions to
[tex] x^2+20=0 \iff x^2 = -20 \iff x=\pm\sqrt{-20}=\pm i \sqrt{20}=\pm 4i\sqrt{5} [/tex]
So, using the factorization [tex] (x-x_1)(x-x_2) [/tex] where [tex] x_{1,2} [/tex] are the roots of the quadratic equation, you have
[tex] x^2+20 = (x-4i\sqrt{5})(x+4i\sqrt{5})[/tex]
This expression can't be further factorized, because all terms have degree 1.
To factor the expression x^2 + 20 over the complex numbers, we can use the quadratic formula or complete the square.
Explanation:To factor the expression x^2 + 20 over the complex numbers, we can use the quadratic formula or complete the square.
Using the quadratic formula, we start by finding the values of x that satisfy the equation x^2 + 20 = 0.
The quadratic formula is given by: x = (-b ± √(b^2 - 4ac)) / (2a).
In this case, a = 1, b = 0, and c = 20. Substituting these values into the quadratic formula, we get: x = ± √-20.
Since we are factoring over the complex numbers, we can express the solution as: x = ± √20i.
Learn more about Factoring over complex numbers here:https://brainly.com/question/7537059
#SPJ3
The dashed triangle is a dilation image of the solid triangle. what is the scale factor?
A. 1/4
B. 1/2**
C. 2/3
D. 2?
Will give 25 points. and brainliest.
Which expression represents a quadratic expression in complete factored form?
A.)(2x+4)(x-3)
B.)(x-1)(3x-9)
C.)(x+4)(x-3)
D.)(x-2)+(x+3)
Answer: C
Step-by-step explanation:
A) not completely factored because 2 can be factored out of 2x + 4
B) not completely factored because 3 can be factored out of 3x - 9
C) CORRECT
D) not factors because the terms are added instead of multiplied
Thus, (x - 2) + (x + 3) is not a quadratic equation. Then A, B, and C are the quadratic equation.
What is a Quadratic equation?It is a polynomial of maximum power 2. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
Which expression represents a quadratic expression in complete factored form?A. (2x + 4)(x - 3)
On multiplying
2x² - 2x -12
B. (x - 1)(3x - 9)
On multiplying
3x² -12x + 9
C. (x + 4)(x - 3)
On multiplying
x² + x - 12
D. (x - 2) + (x + 3)
On multiplying
2x + 1
Thus, (x - 2) + (x + 3) is not a quadratic equation. Then A, B, and C are the quadratic equation.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
You can peel 4 potatoes in 10 mintues . How long will it take you to peel 14 potatoes?
40 mins is the answer
10 mins-4
20mins-8
30mins-12
40mins-16
Select the action you would use to solve x/4 =16. Then select the property that justifies that action
Answer:
Given equation is:
x/4 = 16
Multiply both side of equation by 4
4* x/4 = 16*4
x= 64
Step-by-step explanation:
This is called Multiplication property of Equality.
If you multiply equation by a number on both sides, it remain same or balance.
The equation x/4 =16 is solved by multiplying both sides by 4, resulting in x = 64. This action is justified by the Multiplication Property of Equality.
Explanation:To solve the equation x/4 =16, the action one would use is to multiply both sides of the equation by 4. This operation will isolate the variable 'x'.
Your equation would thus be transformed as: 4 * (x/4) = 16 * 4. This simplifies to x = 64.
The property that justifies this action is the Multiplication Property of Equality, which states that multiplying both sides of an equation by the same non-zero number does not change the equality.
Learn more about Solving Equations here:https://brainly.com/question/14410653
#SPJ3
which ratios are equivalent to 3 parts silver paint to 4 parts green paint?
Answer:
6:8, 9:12
Step-by-step explanation:
Answer:
6:8 9:12
Step-by-step explanation:
the question is in the attached below. thank you for your help , Please do not answer if you are not sure or simply doing it just to get points because i will report you and your answer. Thank you
First answer is DE≅ EF
Second answer is DE=EF by the ''segment congruence postulate''
Third answer is DE * EF + DF by the ''segment addition postulate''
The fourth answer is DE + DE = DF
Good luck!!!
Which rule describes the x-coordinates in the translation below?.
x + 0
x + 6
x – 6
x + 2
Answer:
A) x + 0
Step-by-step explanation:
In triangle ABC, the coordinates are: A(1, -1), B(1, -5) and C(4, -5)
In triangle A'B'C', the coordinates are: A(1, -5), B(1, 1) and C(4, 1)
Look at the x-coordinates in both the triangles remains the same because the triangles are reflected over x-axis, therefore, only the y-coordinate changes.
Therefore, the rule for x-coordinates = x + 0
Answer: A) x + 0
Hope this will helpful.
Thank you.
Answer:a
Step-by-step explanation:
i like rice with tortillas and beans mmmmmm
same here bro, god loves you
What is the area of a triangle whose vertices are R(−4, 2) , S(1, 2) , and T(−5, −4) ?
Enter your answer in the box.
________ units²
That triangle has a horizontal base with y=2. The length of that base is RS=1-(-4)=1+4=5. The height of the triangle is the vertical distance from line y=2 to T(-5,-4). That height is 2-(-4)=2+4=6. The area of the triangle is base * height/2 = 5*6/2= 15
The answer is 15 units ^2
Answer:
The answer is 15 units².
Step-by-step explanation:
I am a hundred percent sure. I did the math and got it right on my test.
Find the product 1.9(8.43)
help! What does this mean??
A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section.
There are x(7x − 2) pots of red geraniums and (x + 3)2 pots of pink geraniums in a section with x sprinklers.
Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers? (5 points)
a
8x2 + 4x + 9
b
8x2 + 6x + 9
c
8x2 + 6x + 7
d
8x4 + 4x2 + 9
Answer:
a) 8x^2 + 4x + 9
Step-by-step explanation:
To find the total number of red and pink geranium pots, we need to add the two expressions given for the number of pots for red and pink respectively.
x (7x - 2) + (x + 3)^2
Expanding x (7x - 2) gives (7x^2 - 2x)
Expanding (x + 3)^2 gives (x^2 + 6x + 9)
Adding the like terms in these two expanded expressions:
(7x^2 - 2x) + (x^2 + 6x + 9)
= 7x^2 + x^2 + 6x - 2x +9
8x^2 + 4x + 9
Answer:
A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section.
There are x(7x − 2) pots of red geraniums and (x + 3)^2 pots of pink geraniums in a section with x sprinklers.
Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers? (5 points)
a
8x^2 + 4x + 9
b
8x^2 + 6x + 9
c
8x^2 + 6x + 7
d
8x^4 + 4x^2 + 9
Is that what you mean, Jalenschaefer12? The way you had it made it confusing. If you want to do an exponent just do the carat sign (^), then a number, for example 4^22.
Mr. Boyle is buying pizza for percussion band. The bill is $56.82 for 5 pizzas. If there are 12 members of the band, how much does a pizza cost Per member? Round to the nearest cent
Round 56.82 up to 57 divide that by 5 and your answer should be 11.40 per member
Solve the equation. If there is no solution, write no solution. Y + 8 – 2(y – 20) > 0
A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are there
A nickel is equal to 5 cents or 0.05 dollars.
A quarter is equal to 25 cents or 0.25 dollars.
Let number of nickels be = n
Let number of quarters be = q
[tex]0.05n+0.25q=2.85[/tex] ...........(1)
As it is given, there are 3 more nickels than quarters so equation becomes,
[tex]n=q+3[/tex] ................(2)
Plug in the value of 'n' from (2) in (1)
[tex]0.05(q+3)+0.25q=2.85[/tex]
= [tex]0.05q+0.15+0.25q=2.85[/tex]
[tex]0.30q=2.70[/tex]
[tex]q=9[/tex]
As [tex]n=q+3[/tex] we get, [tex]n=9+3=12[/tex]
Hence, there are 12 nickels and 9 quarters.
(X^2-3)(x^2+3x-1) multiply the polynomials
x^2 - 3(x^2 + 3x - 1)
Distributive property.
x^4 + 3x^3 - x^2 - 3x^2 - 9x + 3
Combine like terms.
x^4 + 3x^3 - 4x^2 - 9x + 3
A uniform distribution is defined over the interval from 6 to 10.
a. what are the values for a and b?
b. what is the mean of this uniform distribution?
c. what is the standard deviation?
d. show that the total area is 1.00 (use the area formula)
e. find the probability of a value more than 7 f. find the probability of a value between 7 and 9
Answer:
Refer below
Step-by-step explanation:
a) a and b are the lower and higher values of the interval for which uniform distribution is defined.
Here a= 6 and b =10
b) Mean of the uniform distribution= (a+b)/2 = (6+10)/2 =8
Or int x (1/4) dx = x^2/8 = 8
c) Variance of the uniform distribution = (b^2-a^2)/12 = (100-64)/12
= 36/12 =3
Std dev = sq rt of 3 = 1.732
d) To find total area
PDF of the distribution = 1/(b-a) = 1/4, 6<x<10
Area = \int 6 to 10 of 1/4 dx
= x/4
Subtitute limits
= (10-6)/4 =1
So total area = 1
d)P(X>7) = int 7 to 10 of 1/4 dx = 3/4
e) P(7<x<9) = Int 7 to 9 of 1/4 dx = 2/4 = 1/2
Probabilities are used to determine the chances of events
The values of a and b
The interval is given as 6 to 10.
So, the values of a and b are 6 and 10, respectively.
The mean
For a uniform distribution, the mean is:
[tex]\bar x = \frac{a + b}{2}[/tex]
So, we have:
[tex]\bar x = \frac{6 + 10}{2}[/tex]
[tex]\bar x = 8[/tex]
Hence, the mean is 8
The standard deviation
For a uniform distribution, the standard deviation is:
[tex]\sigma = \sqrt{\frac{b^2 - a^2}{12}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{10^2 - 6^2}{12}}[/tex]
[tex]\sigma = 2.31[/tex]
Hence, the standard deviation is 2.31
The total area
This is calculated as:
[tex]A = \int\limits^b_a \frac{1}{b - a}\ dx[/tex]
So, we have:
[tex]A = \int\limits^{10}_6 \frac{1}{10 - 6}\ dx[/tex]
[tex]A = \int\limits^{10}_6 \frac{1}{4}\ dx[/tex]
Factor out 1/4
[tex]A = \frac{1}{4}\int\limits^{10}_6 \ dx[/tex]
Integrate
[tex]A = \frac{1}{4} * x|\limits^{10}_6[/tex]
Expand
[tex]A = \frac{1}{4} * (10 - 6)[/tex]
[tex]A = 1[/tex]
Hence, the total area of the distribution is 1.00
The probability of a value more than 7
This is calculated as:
[tex]P(x > 7) = \frac{1}{4} * x|\limits^{10}_7[/tex]
Expand
[tex]P(x > 7) = \frac{1}{4} * (10 - 7)[/tex]
[tex]P(x > 7) = 0.75[/tex]
Hence, the probability of a value more than 7 is 0.75
The probability of a value between 7 and 9
This is calculated as:
[tex]P(7 < x < 9) = \frac{1}{4} * x|\limits^9_7[/tex]
Expand
[tex]P(7 < x < 9) = \frac{1}{4} * (9 - 7)[/tex]
[tex]P(7 < x < 9) = 0.50[/tex]
Hence, the probability of a value between 7 and 9 is 0.50
Read more about probability at:
https://brainly.com/question/25870256
HELPP!!! Will give Brainliest!!!
What is the local maximum value of the function? (Round answer to the nearest thousandth.) g(x) = 3x^3 + 3x^2 - 30x + 24
Answer:
The answer is 72.578 :))
Step-by-step explanation:
I got it right in my exam
A family of four spent 104 dollars for tickits at a concert all the tickits were the same price price was the cost of each ticket
To find the cost of each concert ticket for a family of four, divide the total cost, $104, by the number of tickets, which is 4. The resulting cost per ticket is $26.
The student is asking for help with a simple division problem. A family purchased concert tickets for a total of $104, and we know there are four tickets purchased since it's a family of four. To find the cost of each ticket, we have to divide the total cost ($104) by the number of tickets (4).
Step-by-Step Solution:
Determine the total spent: $104.
Determine the number of tickets: 4.
Calculate the cost per ticket: $104 ÷ 4 = $26.
Therefore, the cost of each concert ticket was $26.