Answer:
one and 1/6 cups (1 1/6)
Step-by-step explanation:
2/3 + 1/2
TOTAL means addition.
To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).
The denominator of 2/3 is 3.
The denominator of 1/2 is 2.
Now, we list the multiples of the denominator and find the lowest multiple they have in common.
3: 3, 6, 9, 12, 15
2: 2, 4, 6, 8, 10
The lowest number they have in common is 6.
Second, we change the denominators to 6.
In 2/3, to make 3 into 6, we have to multiply it by 2.
Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.
2/3 x 2/2 = 4/6
Now we do the same for 1/2.
1/2 x 3/3 = 3/6
Now, we add the new fractions.
4/6 + 3/6 = 7/6
7/6 = 1 1/6 (one and 1/6 cups).
Math problem 8/3+(-9/4)
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Answer: =5/12
Step-by-step explanation: Hope this help :D
7) What is the value of X? (2x + 10) (3x)
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Which table of values goes with the equation y = 3x ^2 + 1?
Answer:
the correct answer is table 2
solve the modulus equations below. (a) |2x+3|=6. (b) |x-2|=x+4. (c) |2x-7|=|x+3|
Answer:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or [tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
x-2=x+4
-2≠4 x∈Ф
or x-2=-(x+4)
x-2=-x-4
2x=-2
x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
2x-7=x+3
x=10
or 2x-7=-(x+3)
2x-7=-x-3
3x=4
[tex]x=\frac{4}{3}[/tex]
The solutions of modulus equations are shown below:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or x=4/3
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
⇒x-2=x+4
⇒-2≠4 x∈Ф
or x-2=-(x+4)
⇒x-2=-x-4
⇒2x=-2
⇒x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
⇒2x-7=x+3
⇒x=10
or 2x-7=-(x+3)
⇒2x-7=-x-3
⇒3x=4
⇒x=4/3
Therefore, the solution of modulus equation are as:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or x=4/3
To learn more about "Modulus function" here:
brainly.com/question/13586158
Examine each set of functions and determine which has the greater rate of change, if either. Explain your reason.
Answer:
The Spotted Cows delivery service has a greater rate of change.
Explanation
The Spotted Cows function is: y = 2.8x + 2
Dairy Farms function is: y = 2.1x + 10
I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.
Hope this helps!
Can Sb help me pls with this
Answer:
x=15
Step-by-step explanation:
they all add up to 360degrees
Answer:
x = 15
Step-by-step explanation:
hope this helps!
~mina
Someone help plzzzzz
Jack bought an automatic water bottle feeder for his cat. A
diagram of the bottle is shown below. What is the maximum
amount of water that the bottle can hold?
Hon
8.5 in
12.5
I
The maximum amount of water that the bottle can hold is 2251.77 cubic inches.
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the maximum amount of water that the bottle can hold, we need to find the volume of the bottle.
The bottle is in the shape of a cylinder with a height of 12.5 inches and a radius of 8.5/2 = 4.25 inches.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
Substituting the values, we get:
V = π(4.25)²(12.5)
V = 2251.77 cubic inches
Therefore, the maximum amount of water that the bottle can hold is 2251.77 cubic inches.
To know more about volume visit :
https://brainly.com/question/463363
#SPJ1
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
A 192 ft3
B 9216 ft 3
C 4608 ft 3
D 3072 ft 3
Answer:
Answer it is D Got it
Step-by-step explanation:
Eric is studying two number patterns. Pattern A starts at 0 and has the rule "add 6." Pattern B starts at 0 and has the rule "add 3." What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are 3 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A.
The terms in Pattern B are one third the corresponding terms in Pattern A.
The terms in Pattern B are one half the corresponding terms in Pattern A.
Answer:
D) The terms in Pattern B are one half the corresponding terms in Pattern A.
Step-by-step explanation:
Pattern A | Pattern B
0 divided by 1/2 = 0
6 divided by 1/2 = 3
12 divided by 1/2 = 6
18 divided by 1/2 = 9
24 divided by 1/2 = 12
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
find the area of the figure 4m 7m
Answer:
Step-by-step explanation:
where is the picture?!
Answer:
28m squared
Step-by-step explanation:
7*4 is 28
[tex] \frac{x}{ \sqrt[5]{y} {}^{} {7} } [/tex]
Answer:
Step-by-step explanation:
Find the value of x (only answer if you're sure)
Answer:
x = 5.4
Step-by-step explanation:
Ratios:
[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]
What is the ratio of the width that of this rectangle
Answer:
try m a t h w a y
Step-by-step explanation:
Answer:
9:4
Step-by-step explanation:
in the question it says it is width to height. The height is 4 and the width is 9 so 9:4
what is the greatest common factor (GCF) of the following monomials?
Answer:
2x is the greatest common factor.
Step-by-step explanation:
Looking for what they have in common and what is the highest number they can both go into.
Answer choices
40%
50%
What is the answer please help if you put a link I will report you I’m being dead freaking serious
Answer:
50%
Step-by-step explanation
add the total and divide 35 (flowers sold by 5th graders) over 70 (total number of flowers sold by all 3 grades)
Whats the value of 42÷(2+5)•3
Answer:
Step-by-step explanation:
42÷(2+5)•3 =
first we deal with the parentheses
42÷7•3
now we solve left to right
42÷7•3 = 6•3 = 18
The order of operations is:
Solve the parentheses first. Apply the same set of rules to whatever is inside the parentheses).
Solve multiplication and division - go from the left to right.
Solve addition and subtraction - go from left to right.
And you have the answer!
In this problem we only had division, multiplication and parentheses with addition inside.
Also, in the future you'll probably need to update the above rules with powers, roots and other things.
What is 2x-3y=-1
y=x-1
Answer: (4, 3)
Step-by-step explanation:
Let's use substitution.
So for y in the first equation we will substitute the expression for y in the second.
2x - 3(x-1) = -1
2x -3x + 3 = -1
-1x + 3 = -1
-3 -3
-1x = -4
-1x / -1 = -4 / -1
x = 4
Now plug in x for the second equation
y = 4 - 1
y = 3
Now check it using the first equation:
2(4) - 3(3) = -1
8 - 9 = -1
-1 = -1
It's true so it's correct
The jeweler has a stock of alloys that are 25% gold, 50% gold, and 82% gold. Choose 2 different alloys that can be used to create an alloy that is 75% gold. Explain why you chose these alloys.
what is 4x5 gc ft kg gn hi dj cm cjj kg you too te you tu
Do the functions have the same concavity? f(x)=-x^2+40x+120f(x)=−x 2 +40x+120
Answer:
1. f(x)=-x^2+40x+120. Answer: it would be the same answer
2. f(x)=−x 2 +40x+120. Answer: look at the both picture
Step-by-step explanation: Hope this help :D
Both functions have the same concavity—they are both concave downward.
How to explain the functionLet's start with the first function, f(x) = -x² + 40x + 120.
First Derivative:
f'(x) = -2x + 40
Second Derivative:
f''(x) = -2
Since the second derivative is a constant (-2), it is negative for all values of x. Therefore, the first function has a concave downward shape.
Now let's move on to the second function, f(x) = -x² + 40x + 120.
First Derivative:
f'(x) = -2x + 40
Second Derivative:
f''(x) = -2
Similar to the first function, the second function also has a constant second derivative (-2) that is negative for all values of x. Therefore, the second function also has a concave downward shape.
In conclusion, both functions have the same concavity—they are both concave downward.
Learn more about functions
https://brainly.com/question/11624077
#SPJ2
Recall that if there is an intruder, system A sounds an alarm with probability 0.9 and system B sounds an alarm with probability 0.95. If there is no intruder, system A sounds an alarm with probability 0.2 an system B sounds an alarm with probability 0.1. Now assume that the probability of an intruder is 0.4. Also assume that under a given condition (intruder or not), systems A and B operate independently. If both systems sound an alarm, what is the probability that an intruder is detected
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Find the exponential function that contains the points (0,5) and (2,20)
) Which value is the solution of the equation 54 = 6n?
54 = 6n divide 6 on both sides, 6's will cancel on the right.
__ __ solve for 54 ÷ 6 = 9
6 6
n = 9, choice 4 -- final answer
hope this helps :)
The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given equation,
54 = 6n
Divide by 6 into both sides,
n = 9
Hence "The solution of the given equation 54 = 6n will be 9".
For more about the equation,
brainly.com/question/10413253
#SPJ2
in the triangle shown determine a to the nearest degree
Answer:
43
Step-by-step explanation:
Cos A= 8/11
Cos A= 43.34
A=43.34
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answer:
The Answer is C
Step-by-step explanation:
Which of the following points are solutions to the system of inequalities
shown below?
Check all that apply.
x + y = 4+3
y > 4
O A. (2, -1)
B. (3,6)
C. (2,8)
O D. (1,5)
E. (1,1)
O F. (-1,8)
A store selling the calculators donates $90 to charity
from the profit of $500 worth of calculators. If they sell
$200 worth of calculators and donate at the same rate,
how much money would be given to charity?
Answer:
Will be reveled in part B.
Step-by-step Part A
Using O P N Chart for the profits of $500
O P N represent Original, Part Percent and New original.
O $500 ║100%
P $410║-18%
N $90 ║82%
I got $410 which is my part percent by subtracting the original by the New original. (500 - 90 = 410)
Now to solve for the part percent and New original which we will know how much money would be given to charity?
Solving for part percent
Part percent x org = Part
(X) x 500 = 90
500x = 90
500 500
x = 0.18 = 18%.
If they sell $500 worth of calculators and donates $90 to charity they are left with $410 and they gave the charity 82%
Part B:
O: $90 ║ 100%
P: $110 ║-18%
N: $200 ║82%
So this tells me that the charity recived $110.
Please help I’ll mark you as brainliest if correct!
Answer:
The wright answer is 16.33 inches
What is the distance between (-5, -8) and (-1, -16)
(4,-8)
Step-by-step explanation:
from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16
