Answer:
You will use 2 cups of blue paint for 4 cups of yellow paint.
Step-by-step explanation:
Given that:
There is 1/3 cup of blue paint for every 2/3 cup of yellow paint
We will find unit rate in terms of yellow paint.
2/3 cups of yellow paint = 1/3 cup of blue paint
Multiplying both sides by 3/2
[tex]\frac{2}{3}*\frac{3}{2}=\frac{1}{3}*\frac{3}{2}\\1\ cup\ of\ yellow\ paint = \frac{1}{2}\ cup\ of\ blue\ paint[/tex]
Now,
4 cups of yellow paint = [tex]4*\frac{1}{2}[/tex] cups of blue paint
4 cups of yellow paint = 2 cups of blue paint
Hence,
You will use 2 cups of blue paint for 4 cups of yellow paint.
Ayana's chemistry class is exploring how the weight and volume of everyday objects are related. For her first experiment, Ayana gently drops a brick into a beaker filled with water. The volume increases by 2 liters, so now she knows the volume of the brick. Then, she uses its density to make a prediction about its weight in kilograms. If the density of brick is approximately 2 grams per milliliter, what should Ayana's prediction be?
Answer: In the custom setting, choose the ‘My Object’ option in the material drop down box. Set the mass of your object to 4 kg. Adjust the volume to find the minimum volume needed to make the object float.
Volume________4.09_L________ Density__________.98 kg/L________
2. How does the density of a large piece of aluminum compare to a small piece?
Step-by-step explanation:
Which conic section does the equation below describe?
x^2+y^2- 8x+ 10y+15 = 0
O A. Hyperbola
O B. Parabola
OC. Circle
OD. Elipse
[tex]\large\boxed{\boxed{\pink {\bf \leadsto The \ equation \ represents \ a \ circle. }}}[/tex]
Step-by-step explanation:Given equation to us is ,
[tex]\green{\implies x^2 + y^2 - 8x + 10y + 15 = 0 }[/tex]
And we need to find which conic section does the equation below describe . So for that let's simpify the Equation .
[tex]\implies x^2 + y^2 - 8x + 10y + 15 = 0 \\\\\implies x^2 - 8x + y^2 + 10y = (-15) \\\\ \implies x^2 -8x + 4^2 - 4^2 + y^2 + 10y + 5^2-5^2 + 15 = 0\\\\ \implies (x -4)^2 + (y+5)^2 - 16 - 25 + 15 = 0 \\\\ \implies (x -4)^2 + (y+5)^2 - 26 = 0 \\\\\implies (x-4)^2 + (y+5)^2 = 26 \\\\\implies (x-4)^2+(y+5)^2=(\sqrt26)^2 [/tex]
And this is similar to the standard equation for a circle is ( x - h )² + ( y - k )²= r² , where ( h, k ) is the center and r is the radius.
Hence the given equation represents a circle with center ( 4 , -5) and radius √26 units.The number of students who ordered a medium T-shirt was two less than
the number of students who ordered a large T-shirt. Write a system of linear
equations that represents the number of students who ordered medium and
large T-shirts
Answer:
Y= x + x-2
Step-by-step explanation:
X represents large tshirts
Pls Helppp ASAP I will give brainliest to best answer!! 100 points if you help!!!
An arithmetic sequence has 8 terms total 1st number is -22 and 8th (last) number is 5 there are 6 missing terms in between, what are they? Please help me!! I need this!!
Answer:
- 127/7 or - 18 1/7- 100/7 or - 14 2/7-73/7 or -10 3/7-46/7 or - 6 4/7-19/7 or - 2 5/78/7 or 1 1/7Step-by-step explanation:
Given AP with the first term of -22 and eighth term of 5To find the missing termsSolutionAP formula:
aₙ = a₁+(n-1)dUsing the given points we find the common difference:
a₁ = -22 and a₈ = 5
a₈ = a₁ + 7d5 = -22 + 7d7d = 5 + 227d = 27d = 27/7Now the missing terms:
a₂ = -22 + 27/7 = - 127/7 or - 18 1/7a₃ = -22 + 2(27/7) = - 100/7 or - 14 2/7a₄ = -22 + 3(27/7) = -73/7 or -10 3/7a₅ = -22 + 4(27/7) = -46/7 or - 6 4/7a₆ = -22 + 5(27/7) = -19/7 or - 2 5/7a₇ = -22 + 6(27/7) = 8/7 or 1 1/7Some steps to construct an angle MNT congruent to angle PQR are listed below.
Step 1: Draw a segment NT.
Step 2: Use a compass to draw an arc from point Q that intersects the side PQ of angle PQR at point A and the side QR at point B.
Step 3:
Step 4: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 5: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?
Use the same width of the compass to draw an arc from point T that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point A that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point B that intersects the segment NT at a point X.
From the description of the construction of the congruent angle, we have;
The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
The reason for making the above selection is as follows:
The steps to construct an angle congruent to another angle are;
Step 1: Given an angle PQR, draw a working segment NT
Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively
Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X
Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y
Step 5: The points Y and N are joined with a straight line to form the congruent angle
Analysis of the steps:
Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X
Therefore;
Step 3 is best described by the following statement;
Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
Learn more about the construction of congruent angles here:
https://brainly.com/question/9781303
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
This option gives us the step 3.
This is because we want to have equal angles. Therefore we select an arc equal in length to arc AB which intersects NT at point X.
This can be explained more with the help of a diagram.
Two angles are equal when their dimensions are equal.
Arcs of equal length would give congruent angles.
https://brainly.com/question/11406334
(60 + 10)
130
Solve for a
Answer:
Step-by-step explanation:
here you go mate'
step 1
(60 + 10)130 equation
step 2
(60 + 10)130 simplify with the brackets
step 3
130(70) multiply the numbers
answer
9100
You have 4 black marbles, 3 green marbles and 5 red marbles in a bag. What
is the probability of pulling out a black marble?
Answer:
I believe it is 40% since there are 4 marbles within the bag!
Step-by-step explanation:
What is the decimal equivalent of 2 + 11 and how 4 + 3?
Answer:
13.00 ; 7.00
Step-by-step explanation:
The decimal equivalent of :
2 + 11 = 13 ; expressed as a float = 13.00
The decimal equivalent of :
4 + 3 = 7 ; expressed as a floating point number = 7.00
Look at the photo pick A B C D either one explanation not needed thank you! <3
Answer:
B.4
Step-by-step explanation:
It's asking the absolute value even though -6 is used here. So the answer is 4.
Pls help me as fast as possible
Answer:
.56
Step-by-step explanation:
Use a calculator.
please help me on this!!
Answer:
1. 7 people play soccer
2. 5 people play ONLY soccer.
3. 2 people play both soccer and basketball
Step-by-step explanation:
One side of the venn diagram is Basketball.
the other side is soccer.
the middle is both.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
You paint of a wall in hour. At that rate, how long will it take you to paint one wall?
Answer:
an hour....
Step-by-step explanation:
to complete a task in 16 days a company needs
Answer: depends on the task.
Step-by-step explanation: If it is one where it is for an important person, make anyone available do it. If it's very complicated, get your smartest person do it. Not very complicated, ask for anyone who is up for the job.
Please help me! Thank you so much!
Answer: It's (A) 12<X
Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!
Which is an equivalent way to express 3x?
QUESTION SHOWN ON PHOTO :)
Answer:
A: -1/3x
Step-by-step explanation:
We can convert -1/3 to -2/6 by multiplying -1/3 by 2/2. As we know, 5-2 is 3. That makes 3/6. 3/6 is equivalent to 1/2. That means it has to be A.
What is 54-36÷9+14=n what is the value in n?
Answer:
64
Step-by-step explanation:
1st step: 36/9 = 4
54 - 4 + 14 (since all operations are addition and subtraction, just work left to right)
50 + 14 = 64
If the distance of P x, y from the points A (3, 6) and B −3, 4 are equal, prove that
3x + y = 5
Answer:
See Below.
Step-by-step explanation:
We are given a point P(x, y). It is equidistant from A(3, 6) and B(-3, 4).
So, let's first determine the distance from P to each point. We can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Segment PA:
We will let P(x, y) be (x₂, y₂) and A(3, 6) be (x₁, y₁). By substitution:
[tex]d=\sqrt{(x-3)^2+(y-6)^2[/tex]
This represents the distance from P to A.
Segment PB:
Again, we will let P(x, y) be (x₂, y₂) and B(-3, 4) be (x₁, y₁). By the distance formula:
[tex]d=\sqrt{(x-(-3))^2+(y-4)^2}[/tex]
We may simplify:
[tex]d=\sqrt{(x+3)^2+(y-4)^2}[/tex]
Now, we know that the two distances are equivalent. Hence:
[tex]\sqrt{(x-3)^2+(y-6)^2}=\sqrt{(x+3)^2+(y-4)^2[/tex]
Simplify. Square both sides:
[tex](x-3)^2+(y-6)^2=(x+3)^2+(y-4)^2[/tex]
Square:
[tex](x^2-6x+9)+(y^2-12x+36)=(x^2+6x+9)+(y^2-8x+16)[/tex]
Subtract all terms from the right:
[tex](x^2-6x+9)-(x^2+6x+9)+(y^2-12x+36)-(y^2-8x+16)=0[/tex]
Distribute the negative:
[tex][(x^2-6x+9)+(-x^2-6x-9)]+[(y^2-12y+36)+(-y^2+8y-16)]=0[/tex]
Rearrange:
[tex][(x^2-x^2)+(-6x-6x)+(9-9)]+[(y^2-y^2)+(-12y+8y)+(36-16)]=0[/tex]
Combine like terms;
[tex](-12x)+(-4y)+(20)=0[/tex]
We can divide both sides by -4:
[tex]3x+y-5=0[/tex]
Finally, adding 5 to both sides produces:
[tex]3x+y=5[/tex]
WILL MARK BRAINLIEST!!!!!!!!!!!!!!! 20 POINTSSS
24 grams of salt and 16 grams of pure water were added to 160 grams of a 35% solution. What is the percentage of salt in the new solution?
Answer: 40%
Steps are below
Step-by-step explanation:
First, let's find the amount of salt. 160/100=1.6, then 1.6x35 is 56. So the current amount of salt before we add more salt is 56g. Now that we know the amount of salt, let's find the amount of water. The total amount of solution is 160g, 56g of that is salt, and the rest is pure water. 160-56= 104g of pure water. Let's add 24 grams of salt and 16 grams of pure water. We now have 80g of salt, and 120g of water. A common mistake is doing 80/120, WHICH IS INCORRECT. The correct formula for solution/concentration is the amount of substance/total amount of solution. So you'd do 80+120 to get 200, and then do 80/200 which gets you 40%.
Hope it helps!! :D
factor the expression
by filling in the blank
Answer:
After factoring we get:
[tex](\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)[/tex]
Step-by-step explanation:
The expression given is:
[tex]8q^6r^3+27s^6t^3[/tex]
We need to factor the expression using the formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
Given the expression:
we have
[tex]a = 2q^2r\\b= 3s^2t[/tex]
Now applying the formula:[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
[tex](2q^2r)^3+(3s^2t)^3\\=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex]
So, after factoring we get:
[tex](\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)[/tex]
A car company builds two versions of one of its models-a sedan and a station wagon. The ratio of sedans to station wagons is 11:2. A freighter begins unloading the cars at a dock. Tom
counts 18 station wagons and then overhears a dock worker call out, "Okay, that's all of the wagons ... bring out the sedans!" How many sedans were on the ship? Write the number only.
Answer:
Number of sedans on the ship = 99
Step-by-step explanation:
Given that:
Ratio of sedans to station wagons = 11 : 2
Number of station wagons count by Tom = 18
Number of sedans = x
Ratio of sedans to station wagons = x : 18
The relationship is directly proportional;
11 : 2 :: x : 18
Product of mean = Product of extreme
2x = 11*18
2x = 198
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{198}{2}\\x=99[/tex]
Hence,
Number of sedans on the ship = 99
The function y=-0.25+1 represents the percent y (in decimal form)  A battery power remaining x hours after you turn on the laptop computer. Identify and interpret the slope.
The slope is ___. This means that the power ____ by ____ per hour
Answer:
The slope is -0.25. This means that the power reduces by 0.25 percent per hour
Step-by-step explanation:
Given
[tex]y = -0.25x + 1[/tex]
Required
Identify and interpret the slope
An equation has a general form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
Compare [tex]y = mx + b[/tex] to [tex]y = -0.25x + 1[/tex]
We have:
[tex]mx = -0.25x[/tex]
Divide both sides by x
[tex]\frac{mx}{x} = \frac{-0.25x}{x}[/tex]
[tex]m = \frac{-0.25x}{x}[/tex]
[tex]m = -0.25[/tex]
Because the result of the above calculation is negative, it means that the function reduces
The given function measures the percentage of power by hour.
So, the power reduces by 0.25% per hour
Which statement below CANNOT be represented by the expression x - 10?
a. 10 less than x
b. x decreased by 10
c. x less than 10
d. 10 subtracted from x
Please help What value of x is in the solution set of 8x-6>12+2x? O-1 O0 O3 O5
Answer:
5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
8x - 6 > 12 + 2x
Step 2: Solve for x
Subtract 2x on both sides: 6x - 6 > 12Add 6 to both sides: 6x > 18Divide 6 on both sides: x > 3Here we see that any value x greater than 3 would work as a solution to the inequality.
Out of the answer choices, 5 is the only number greater than 3.
What is a solution to the equation x^2=25x 2 = 25?
Answer:
5
Step-by-step explanation:
hope this helps :)
5^2=25
5x5=25
Which is an example of radiation?
1.Hot air rises and cool air moves in to take its place.
2.You burn your feet on a hot sidewalk on a sunny day.
3.Your car parked in the sun is hot when you return.
Answer:
3
Examples of Everyday Radiation
Visible light.
Infrared light.
Near ultraviolet light.
Microwaves.
Low frequency waves.
Radio waves.
Waves produced by mobile phones.
A campfire's heat.
Solve the following system by the comparison method.
2p + q = 1
9p + 3q + 3 = 0
What is the solution set?
{(-2, -5)}
{(2, -5)}
{(-2, 5)}
Answer:
3p=1
p=1/3
9p+3p+3=0
12p+3=0
12p=3
p=3/12
p=4
Create a chart by calculating the heights of all the family members. Convert the heights in cm. Also find the average heights of your family. Compare your height with the average height and the height of your father.
plz help me now
Answer:
khkatyyjajtzjyftkrtehemrk5u2w
Which is the coefficient in the expression 24x + 3?
a. x
b. 3
c. 24
d. 24x
Answer:
C. 24
Step-by-step explanation:
1. What is the solutionto the system of equations?
Answer:
(1, -3)
Step-by-step explanation:
The solution is the intersecting point