Answer:
3 cups of pancake mix and 2 cups of water
Step-by-step explanation:
For the family of 6 to have 3 pancakes each, Arjun must make at least 18 pancakes. If 1 cup of pancake mix makes at least 6 pancakes, Arjun would need three cupes of pancake mix to make at least 18 pancakes.
Now if each cup of pancake mix requires 2/3 cups of water, the amount of water needed for 3 cups of pancake mix would be
3 x 2/3 = 2 cups of water
Hope this helps!Answer:
3 cups of pancake mix and 2 cups of water
Step-by-step explanation:
We are given that a box of pancake mix requires 1 cup of mix and 2/3 cups of water which makes at least 6 cupcakes.
If each person in Arjun's family of 6 wants to have 3 pancakes, it means that he needs to make 18 cupcakes.
To make 18 cupcakes, we need [tex]1 \times 3 =[/tex] 3 cups of pancake mix and [tex]3 \times \frac{2}{3} =[/tex] 2 cups of water.
What is the truth value for the following conditional statement?
p: false
q: false
∼p → ∼q
T F → T
F T → F
F F → T
T T → T
Answer:
TT→T
Step-by-step explanation:
If p is false, then ~p is true.
If q is false, then ~q is true.
Now note that
If a and b are both true, then a→b is true.If a is true, b is false, then a→b is false.If a is false, b is true, then a→b is true.If a and b are both false, then a→b is true.In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)
The truth value of the conditional statement ∼p → ∼q is true when both p and q are false, as the conditional is false only when the antecedent is true and the consequent is false.
The question is asking us to evaluate the truth value of the conditional statement ∼p → ∼q when both p and q are false. According to the rules of propositional logic, the implication (→) is false only when the antecedent is true and the consequent is false. Here, since p and q are both false, the antecedent (∼p) is true and the consequent (∼q) is also true. Therefore, the conditional statement is true. This reflects the concept that a conditional statement is always true if either the antecedent is false or the consequent is true, hence in our case the truth value of ∼p → ∼q is true.
URGENT! IM TIMED! 2.35•2/3 in fraction form?
Answer:
Simplified: 1.56
fraction form 47/30
Answer:
Option D 47/30
Edg 2020
Julia estimates that Ron will buy $800 worth of produce from her each week. Last week, Ron bought $880 worth of produce. What is the absolute error? What is the ratio of the error to the actual amount? What is the percent error?
Answer:
-first one
80
- second one
80/880
- last one
9.09%
on edg.
Answer:
What is the absolute error?
✔ 80
What is the ratio of the error to the actual amount?
✔ 80/880
What is the percent error?
✔ 9.09%
What is a 10% tip on a bill of $42.87? (Round to the nearest cent.)
10% of $42.87 = 10/100 × 42.87
= 4.287
Ans = $4.29
Happy to help! Marking my answer as the Brainliest would really be aprreciated.
The system of inequalities graphed here is __________. A) inconsistent. B) indeterminate. C) consistent and dependent. D) consistent and independent.
Find HCF of
Question number 23
Answer: x - 2
Step-by-step explanation:
HCF is more commonly referred to as GCF (greatest common factor)
Factor each expression to see which factor(s) they have in common.
[tex]x^4 - 8x\implies x(x^3-8)\\= x\boxed{(x-2)}(x^2+4x+4)\\\\\\3x^2-8x+4\implies 3x^2-6x-2x+4\implies3x(x-2)-2(x-2)\\=(3x-2)\boxed{(x-2)}\\\\\\2x^2-5x+2\implies 2x^2-4x-x+2\implies 2x(x-2)-1(x-2)\\=(2x-1)\boxed{(x-2)}[/tex]
The only factor that all three expressions have in common is: x - 2
Which of the following equations is the translation 2 units up of the graph of y = |x|? y = |x - 2| y = |x + 2| y = |x| - 2 y = |x| + 2
Answer:
y = |x| + 2
Step-by-step explanation:
Which relation does not represent a function?
A.
{(3, 0), (0, 3)}
B.
{(6, -2), (5, -2)}
C.
{(3, 4), (3, 5)}
D.
{(5, 5), (-5, -5)}
E.
{(1, -2), (-2, 1)}
Answer:
C. {(3, 4), (3, 5)}
Step-by-step explanation:
Each input can only go to one output to be a function. In other words, each x can only go to one y
Relation C has an x of 3 going to 2 different y's (4 and 5) so it is a relation not a function
Answer with explanation:
A relation is said to be function, if each element of domain has unique range or no two elements in image has same Preimage.
Option A
3 → 0
0→3
Relation is a Function.
Option B
6 → -2
5→-2
Relation is a function.
Option C
3→4
3→5
Two elements in Preimage has Distinct images. So this relation is not a function.
Option D
5 → 5
-5 → -5
Relation is a function.
Option E.
1 → -2
- 2→ 1
Relation is a function.
Option C: {(3, 4), (3, 5)}
Relation is not a function.
If 5 times a number is increased by 4, the result is at least 19. Find the least possible number that satisfies these conditions.
Answer:
3
Step-by-step explanation:
5 times a number would be 5x, then increase that by 4 is 5x+4. The problem then says 5x + 4 ≥ 19. If we solve for x then we get x ≥ 3 so x has to be greater than or equal to 3, so the smallest number it could be is 3. You can even try any number smaller than 3 and see it doesn't work. even something like 2.9
Answer:
x ≥ 3
Step-by-step explanation:
Let the number = x
5 × the number = 5x
Increased by 4 means 5x +4
Is at least 19 means ≥ 19
5x + 4 ≥ 19
5x ≥ 15 Subtracted 4 from each side
x ≥ 3 Divided each side by 5
The smallest possible number that satisfies the conditions is x = 3.
How far did Eddie Travel in all??? 30 pts
The last dot to the right would be the total distance.
So at 6 pm he had traveled 45 km.
The answer is 45.
Answer:
he traveled 10 miles
Step-by-step explanation:
He took different routes to get to his place that he needed to be
Jada walks up to a tank that can hold up to 10 gallons. When it’s active a drain empties water from the tank at a constant rate. When jada first sees the tank it contains 7 gallon three minutes later the tank contains 5 gallon. At what rate is the amount of water in the tank changing
Answer:
2/3 of a gallon per minute
Step-by-step explanation:
You can find the rate by subtracting the amount of gallons she observed and dividing it by the time.
7 - 5 = 2 and 2 gallons/3 mins = 2/3 of a gallon each minute.
What is the distance from -50 to-0 on a number line
Answer:
50 units
Step-by-step explanation:
Think of it as taking steps. Each unit is a step. It will take you 50 steps to get from -50 to 0, so the distance is 50
Mathematically, end point minus starting point
0 - (-50) =
0+50 = 50
∑
∞
n
=
1
−
4
(
1
3
)
n
−
1
Answer:
6
Step-by-step explanation:
The correct notation is: Summation from n = 1 to infinity of the expression:
[tex]4(\frac{1}{3} )^{n-1}[/tex]
If we expand this notation, we will find that the given summation represent the terms of a G.P and we have to find the sum of infinite terms of a G.P. By placing n=1,2,3,4,... we can find the first few terms as shown below:
[tex]4(\frac{1}{3} )^{1-1}=4\\\\ 4(\frac{1}{3} )^{2-1}=4(\frac{1}{3} ) \\\\ 4(\frac{1}{3} )^{3-1} =4(\frac{1}{3} )^{2}[/tex]
Its obvious from the above result, that the given summation represent a G.P with first term equal to 4 and common ratio of 1/3. The formula of infinite G.P is:
[tex]S=\frac{a_{1} }{1-r}[/tex]
Using the value of a1 = 4 and r = 1/3 we can calculate the given summation
[tex]S=\frac{4}{1-\frac{1}{3} }=6[/tex]
Therefore, the given summation is equal to 6.
4+x=7 describe this question in words
Answer:
3
Step-by-step explanation:
Find the value of x in the equation 4 + x = 7
Answer:
X=3
Step-by-step explanation:
4 +x =7
x =7-4
=3
Solve the equation for x by graphing. 2-5^x=2^x-3
A.
x ≈ -1.25
B.
x ≈ 1.25
C.
x ≈ 0.75
D.
x ≈ -0.75
The answer is C, 0.75 :-)
Answer:
the solution is x ≈ 0.75
C is the correct option.
Step-by-step explanation:
We have to solve the equation [tex]2-5^x=2^x-3[/tex]
let us assume two equations
[tex]y=2-5^x...(i)\\\\y=2^x-3[/tex]
Now, in order to solve the equation by graphing method, we graph(i) and (ii) in same coordinate axis.
Graphs of these two equations has been shown in the attached picture.
The, x-coordinate of the intersection point will given the solution.
The x-coordinate of the intersection point is x = 0.746 which can be written as x ≈ 0.75
Therefore, the solution is x ≈ 0.75
C is the correct option.
The revenue from selling x necklaces is r(x) -10x. The cost of buying x necklaces is c(x) 4x 15 The profit from selling x necklaces is px) -x)-c) Write a function for p(x), the profit from selling x necklaces.
O A. p(x) 6x 15
O B. p(x) -14x-15
O C p(x) -14x + 15
O D. p(x)- 6x -15
Answer:
The correct answer is B) p(x) = -14x - 15
Step-by-step explanation:
To find this, start by writing the function as indicated.
p(x) = r(x) - c(x)
Now input the functions into the appropriate spots.
p(x) = -10x - (4x + 15)
p(x) = -10x - 4x - 15
p(x) = -14x - 15
Answer:
[tex]P(x) =14x-15[/tex]
Step-by-step explanation:
The revenue from selling x necklaces [tex]r(x)= -10x[/tex]
The cost of buying x necklaces is [tex]c(x)= 4x+15[/tex]
The profit from selling x necklaces is [tex]P(x) = r(x)- c(x)[/tex]
Replace r(x) and c(x)
[tex]P(x) =-10x-(4x+15)[/tex]
[tex]P(x) =-10x-4x-15[/tex]
[tex]P(x) =14x-15[/tex]
a walkway along the diagonal of a square park is 4/5 miles long. what is the area of the park?
Answer:
[tex]\frac{8}{25}[/tex] square miles
Step-by-step explanation:
The relationship between the side length (let it be s) of a square and its diagonal (let it be d) is given by:
[tex]s=\frac{d}{\sqrt{2} }[/tex]
Since d is given as 4/5, we solve for s:
[tex]s=\frac{d}{\sqrt{2} }\\s=\frac{\frac{4}{5}}{\sqrt{2} }\\s=\frac{4}{5\sqrt{2} }[/tex]
NOW, area of square is s^2 where s is the side length.
Area = [tex]s^2=(\frac{4}{5\sqrt{2} })^2=\frac{16}{50}=\frac{8}{25}[/tex]
The area of the park is:[tex]\[\boxed{\frac{8}{25} \text{ square miles}}\][/tex]
To find the area of the square park given the length of the diagonal, we need to use the relationship between the side length of a square and its diagonal.
[tex]\[d = s\sqrt{2}\][/tex]
Given that the diagonal [tex]\( d \) is \(\frac{4}{5}\)[/tex] miles, we can set up the equation:
[tex]\[s\sqrt{2} = \frac{4}{5}\][/tex]
[tex]\[s = \frac{\frac{4}{5}}{\sqrt{2}} = \frac{4}{5\sqrt{2}}\][/tex]
Rationalize the denominator by multiplying the numerator and the denominator by [tex]\(\sqrt{2}\):[/tex]
[tex]\[s = \frac{4\sqrt{2}}{5 \cdot 2} = \frac{4\sqrt{2}}{10} = \frac{2\sqrt{2}}{5}\][/tex]
[tex]\[A = \left( \frac{2\sqrt{2}}{5} \right)^2\]\[A = \frac{(2\sqrt{2})^2}{5^2} = \frac{4 \cdot 2}{25} = \frac{8}{25}\][/tex]
Therefore, the area of the park is:
[tex]\[\boxed{\frac{8}{25} \text{ square miles}}\][/tex]
What is 0.660 rounded to the nearest tenth
Final answer:
To round 0.660 to the nearest tenth, we find that 0.660 rounded to the nearest tenth is 0.7.
Explanation:
To round 0.660 to the nearest tenth, we need to look at the digit in the hundredth place, which is 6. Since 6 is greater than or equal to 5, we round up. The digit in the tenth place becomes 7, and all digits after the tenths place are dropped. Therefore, 0.660 rounded to the nearest tenth is 0.7.
9282 divided by 433 with a remainder
9282 divided by 433 with a remainder is equal to 21.
Given data:
To divide 9282 divided by 433, we can use variables to represent the numbers and perform the division algebraically.
Let's denote 9282 as a dividend (D) and 433as divisor (d).
D = 9282
d = 433
We need to find the quotient (Q) when D is divided by d.
Q = D / d
Substituting the given values:
Q = 9282 / 433
To simplify the division, we can multiply both the numerator and denominator by a suitable power of 10 to eliminate the decimal point. In this case, multiplying by 10 will suffice:
Q = (9282 * 10) / (433* 10)
Q = 9282 / 433
Now, we can perform the division:
Q = 9282 / 17
So, Q = 21
The quotient is the final answer, and the remainder is 0. Therefore, 9282 divided by 433 with a remainder is equal to 21.
To learn more about equations click :
brainly.com/question/19297665
#SPJ6
In a different test, the mean score of 50 students is 54%
The students are split in two groups. Group A and Group B.
The mean score for Group A is 60% and the mean score for Group B is 50%
How many students are in Group B and how many are in Group B?
Answer:
Group A has 20 students
Group B has 30 students
Step-by-step explanation:
The mean score of 50 students is 54%, so the sum of 50 scores, divided by 50 is 54%. That means that 50(0.54) = 27 points were scored between the 50 students.
Let x represent the number of students in Group A
Let y represent the number of students in Group B
We have
0.6x + 0.5y = 0.54(50) (the points scored, times their averages is the total)
and
x + y = 50
Use substitution to solve...solve the second equation for one variable...
x = 50 - y
Now plug that into the first equation...
0.6(50 - y) + 0.5y = 27
30 - 0.6y + 0.5y = 27
-0.1y = -3
y = 30
So there are 30 students in group B, therefore there are 20 students in group A
What are the zeros of the function f(x)=(x+5) (2x-8) ?
Answer:
x = - 5, x = 4
Step-by-step explanation:
To find the zeros set f(x) = 0, that is
(x + 5)(2x - 8) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
Answer:
X = -5 or x = 4
Step-by-step explanation:
F(x)=(x+5) (2x-8)
When f(x) = 0
0 =(x+5) (2x-8)
Thus;
x+5 =0 or 2x-8 = 0
Therefore; x= -5 or x = 4
simplify the expression below: 3(7x) -2(4-x)
a. 12-2x
b. 13+2x
c. 23x-8
d. 20x-8
the correct answer is C to this question
Answer:
The answer is
Step-by-step explanation:
First we must follow the order of operation: Please, Excuse, My, Dear, Aunt, Sally; Paranthesis, Exponents, Multiplication, Division, Addition, and Subtration.
First it says to look for parenthesis, which there are; so we do that first;.
3(7x) -2 (4 - x)
^
21x - 2 (4 - x)
^
21x - 2 times 4 (btw, we took x away because 4 - x)
^ (now we do multiplcation)
21x - 8
^
13
answer is 13 + 2x
Please select the answer for the question shown below.
Answer:
It has one solution
Step-by-step explanation:
3/4 z = 1/4 z - 3 + 5
Subtract 1/4 z on both sides:
2/4 z = -3 + 5
2/4 z = 2
1/4 z = 1
Substitute:
3 = 1 - 3 + 5
3 = -2 + 5
3 = 3
^^^One Solution
ASAP PLEASE HURRYYYY!!! a student wants to know how many one centimeter cubes will fit into a 10 cm by 8 cm by 12 CM box. what measures is the student trying to calculate?
A. height
B.perimeter
C. surface area
D. volume
Answer:
D
Step-by-step explanation:
Read the question carefully.
"how many one centimeter cubes will fit into a 10 cm by 8 cm by 12 cm box."
Volume is the amount in which how much can go in it.
Answer:
c. surface area because fit is the key word for surface area
Step-by-step explanation:
Julian biked a 24 km trip to Guelph.On his way there, his average speed was 12km/h.On his way home, he stopped for a break,so his average speed was only 8km/h. What was his average speed, in km.h, for the entire round trip?
Time taken by Julian to complete 24 km trip to Guelph at 12 km/h =
[tex]\frac{24}{12}=2[/tex] hours
Time taken by Julian for return trip at 8 km/h = [tex]\frac{24}{8}=3[/tex] hours
As given, the total distance is 24 + 24 = 48 km.
And the total time is 2 + 3 = 5 hrs.
Hence, the average speed for the entire trip is = [tex]\frac{48}{5}= 9.6[/tex]
The answer is 9.6 km/hour.
The 2 Triangles are similar.
What is the ratio of the corresponding side lengths? Thanks!
Answer:
see explanation
Step-by-step explanation:
The ratios of corresponding sides are
[tex]\frac{AB}{A'B'}[/tex] = [tex]\frac{BC}{B'C'}[/tex] = [tex]\frac{AC}{A'C'}[/tex], that is
[tex]\frac{4}{2}[/tex] = [tex]\frac{9}{4.5}[/tex] = 2
If the end points of the diameter of a circle are (8,6) and (2,0), what is the standard form equation of the circle
Answer:
[tex]\large\boxed{(x-5)^2+(y-3)^2=5^2\to(x-5)^2+(y-3)^2=25}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the end points of a diameter (8, 6) and (2, 0). The midpoint of a diameter is a center of a circle. Half of a length of diameter is a length of a radius.
The formula of a midpoint of a segment:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
Substitute:
[tex]x=\dfrac{8+2}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{6+0}{2}=\dfrac{6}{2}=3[/tex]
The center of a circle is (5, 3).
The formula of a length of a segment:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute:
[tex]d=\sqrt{(2-8)^2+(0-6)^2}=\sqrt{(-8)^2-(-6)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]
The length of a diameter is 10 units. The length of a radius r = 10 : 2 = 5 units.
Finally we have the equation of a circle:
[tex](x-5)^2+(y-3)^2=5^2[/tex]
an earthquake can be felt 70 miles from its epicenter if someone is standing 50 miles east and 20 miles north of the epiccenter will they be able to feel the eacrthquake? and explain your reasoning for why they would or would not be able to feel it.
Answer:
You Would Feel It Faint Because Of Earthquakes Are Loud Rumbles Not Matter How far
Step-by-step explanation:
Sylvia finds the solution to the system of equations by graphing y=2/3x + 1 and y = -2/3x-1 which graph shows the solution to Sylvia’s system of equations
What I don’t understand the question
Answer:
D
Step-by-step explanation:
blue line curve going down from y 0,1 red diagonal touching x 3,0 then 0,-3
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−7,2) , B(3,2) , and D(−7,−2) . Point C is the fourth vertex of the rectangle.
What is the distance from point B to point C?
Enter your answer in the box.
the distance from point b to c is 4 down the y-axis