If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?
Answer:
The correct answer is 9.
Step-by-step explanation:
To get this solution, you would need to use division.
[tex]\frac{54}{6} = 9[/tex]
--
To be sure that the answer is correct, check your answer.
[tex]9*6 = ?[/tex]
[tex]9*5 = 45[/tex]
Since the easiest way to determine the multiple of 9 is 5, all you need to do is add another 9.
[tex]45+9=54[/tex]
--
**Remember: You are able to check if your answer(s) are correct in any way you are comfortable with.
Answer:
$9 per cupStep-by-step explanation:
Let the unit price is x.
6 cups cost $54:
6x = 54x = 54/6x = 9Solve the photo above ⬆️
Btw these one's are gonna be a bit more confusing for me, so expect me to atleast probably send 7 more ^^|l|l
Answer:
7¹⁰ :) hope this helps you!!
3 1/4 as in improper fraction
Answer:
13/4
Step-by-step explanation:
3 lots of 4 = 12.
Add 1 from the existing numerator.
Therefore, answer is 13/4.
Hope this helps :)
-8/7 + (-2/3)
HELPP Mee
Step-by-step explanation:
-(38/21)
that is the answer
Answer:
-38/21, or 1 17/21
Step-by-step explanation:
To add, we need to change the denominators to be the same. The least common denominator is 21. -8/7 is equal -24/21, and -2/3 is equal to -14/21. If we add these we get -38/21, or 1 17/21.
A scale drawing of an office space uses a scale of 1 in : 4 yd. The scale drawing has an area of 12 square inches.The area of the office space is ____ square yards
The scale factor of area of the drawing to the area of the office is the
square of the scale factor of the length of the drawing.
The area of the office space is 192 square yards.Reasons:
The given parameters are;
1 inch in the scale drawing = 4 yd. in actual dimension
4 yd. = 144 inches
Therefore;
1 inch in the scale drawing = 144 inches in actual dimension
The scale factor of length of the drawing, s = 1:144
The scale factor of area = s²
Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =s^2[/tex]Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =\dfrac{12}{A} = s^2 = \left( \dfrac{1}{144} \right)^2[/tex]Where;
A = The actual office space area
There fore;
12 × 144² = A × 1²
A = 12 × 144² = 248,832 in.²
1 yd.² = 1,296 in.²
[tex]248,832 \, in.^2 = \dfrac{248,832}{1,296} \, yd.^2 = 192 \, yd.^2[/tex]The area of the office space is 192 square yards.
Lear more here:
https://brainly.com/question/17166840
Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1
The indicated Z score is what?
The indicated Z score according to the given graph will be z < -0.1635
The normal distribution has a mean-values between 0 and 1.
From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.
According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635
Learn more here: https://brainly.com/question/24213960
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin
Can someone help me please :)
9514 1404 393
Answer:
(d) y = 2×7^x
Step-by-step explanation:
If you try x=2 in each of the expressions, you find only one of the gives 98 as the value.
a) 14^2 = 196
b) 7×2^2 = 28
c) 2^(7×2) = 2^14 = 16,384
d) 2×7^2 = 2×49 = 98 . . . . . . . correct answer choice
__
Alternatively, you can recognize that the x-values in the given (x, y) pairs differ by 1, so the ratio of y-values will be the base of the exponential term:
98/14 = 7
so you're looking for something of the form 7^x. That would be ...
y = 2×7^x
__
In more general terms, consider
y = ab^x
If you have x=1 and x=2, then this will be ...
y1 = ab^1 = ab
y2 = ab^2
Dividing the second by the first gives ...
y2/y1 = (ab^2)/(ab) = b . . . . . . . general solution when x-values differ by 1
98/14 = b = 7
From the x=1 case, we have ...
14 = 7a ⇒ a = 2
y = 2·7^x
whats the greateats hundreds you can multiply by 6 to get close to but not go over 3236
Answer:
100
Step-by-step explanation:
6×100=600
600 might not be that much close to 3236 but it's not over 3236
$56 for 25 gallons or $30.05 for 15 gallons
um what do you mean by that?
Find the slope of the line through each pair of points
(10, -14), (11,11)
Hello there! I can help you with joy! :)
If we have 2 points, then we can find the slope using this formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
y2=11
y1=-14
x2=11
x1=10
[tex]\frac{11-(-14)}{11-10}[/tex]
[tex]\frac{11+14}{1}[/tex]
25
Hope this helps you!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
El diseño de un sistema requiere instalación de 2 componentes iguales. El sistema completo funcionará si al menos 1 de los componentes funcionan,mientras que un sistema alternativo requiere cuatro de sus componentes funcionará si al menos 2 de sus componentes están funcionando.
La probabilidad de que un componente funcione de manera individual es de 0.9 y cada uno funciona de manera independiente. ¿cuál de los 2 diseños tienen mayor probabilidad de funcionar?
Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.
Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.
Distribuición binomial:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
n es el número de ensayos. p es la probabilidad de éxito en un ensayo. x es el número de éxitos.En este problema:
La probabilidad que un componente funcione es 0.9, o sea, [tex]p = 0.9[/tex].Diseño de 2 componentes:
2 componentes implica que [tex]n = 2[/tex].La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
En que:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]
Entonces:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]
Diseño de 4 componentes:
4 componentes implica que [tex]n = 4[/tex].La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
En que:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]
[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]
Entonces:
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]
[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.
Un problema similar es dado en https://brainly.com/question/25132113
the scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map
A. 1.5 km
B. 2.4 km
C. 60 km
D 20 km
2.4 please follow mee i think this is answer
A sweet potato casserole recipe calls for cup of flour for 4 servings. To serve 16 people, how much flour is needed?
Answer:
4 Cups of Flour
Step-by-step explanation:
helppppp pleaseeee ill literally do anything!!!!!!!!!!!!!!!
Answer:
33ft^2
Explanation:
surface area of square pyramid equation: [tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} +h}[/tex]
A = 34.63, so none of the answers shown are really it.
Find three consecutive multiples of 6 with a sum that is four times the least of the numbers.
Answer:
18 , 24, 30
Step-by-step explanation:
6x + (6x+6) + (6x+6+6) = 4*6x
18x + 18 = 24x
6x = 18
x = 3
3 multiples of 6: 18 , 24, 30
check: 18+24+30=72
4*18 = 72
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]
Step-by-step explanation:
Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].
We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].
Combining like terms on the left side gives [tex]5x+25=180[/tex].
Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].
Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].
So, the first angle is [tex]31^{\circ}[/tex].
The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].
The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].
So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!
The check that these angles work is left as an exercise to the reader.
3x+2=23
Please show steps on how to do.
Answer:
x = 7
Step-by-step explanation:
3x+2=23
Subtract 2 from each side
3x+2-2 = 23-2
3x = 21
Divide each side by 3
3x/3 = 21/3
x = 7
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 3x + 2 = 23
Then the value of x will be,
→ 3x + 2 = 23
→ 3x = 23 - 2
→ 3x = 21
→ x = 21 ÷ 3
→ [ x = 7 ]
Hence, the value of x is 7.
Please help!!!! Tell me whether it’s a equation or not pleasr
4. Find the scale factor using the given scale drawing and measurements below.
Answer:
Actual=3cm
Scale=5cm
3x=5
3/3x=5/3
X=5/3
The scale factor is 5/3
3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets
Answer: It will be D
Step-by-step explanation: 5 divided by 8 is 1.2
8.618 divided by 0.695
Answer:
8.618 divided by 0.695= 12.4
hope this helps <3
28=2x+6 can you please help
Answer:
Please look at the picture i have sent
Dakota earned $7.50 in interest in Account A and $30.00 in interest in Account B after 18 months. If the simple interest rate is 2% for Account A and 5% for Account B, which account has the greater principal? Explain.
Answer:
account a
Step-by-step explanation:
deez nuuuuuuuts
Find the volume of the composite solid. Round your answer to the nearest hundredth.
700 cubic inches
Step-by-step explanation:
is known :
r = 5 inh = 9 inV = πr²h
V = 3.14 · 5² · 9
V = 3.14 · 25 · 9
V = 78.5 · 9
V = 706.5 cubic inches → Round to the nearest hundredth
V ≈ 700 cubic inches
The Volume of Cylinder is 1271.7 in³.
What is volume of Cylinder?The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.
The formula for calculating the volume of a cylinder is:
Volume = πr²h
We have, Radius= 5 in
Height= 9 inch
So, the Volume of Cylinder
= πr²h
= 3.14 x 5 x 5 x 9
= 3.14 x 5 x 81
= 3.14 x 405
= 1271.7 in³
Thus, the Volume of Cylinder is 1271.7 in³.
Learn more about Volume of Cylinder here:
https://brainly.com/question/16788902
#SPJ2
Pa help po pleass po
Answer:
Refer to the attachment
What is the difference of 9.2 and 0.03
Answer:
9.17
Step-by-step explanation:
9.20-0.03=9.17
Answer:
9.17
Step-by-step explanation:
9.20
-0.03
_____
9. 17
The perimeter of the rectangle below is 56 units. Find the length of side BC.
Write your answer without variables.
DC = 3x - 2 DA = 2x
BC = ?
Answer:
12 unitsStep-by-step explanation:
Perimeter formula:
P = 2(l + w)Given:
l = 3x - 2w = 2xP = 56Find the value of x:
2(3x - 2 + 2x) = 565x - 2 = 285x = 30x = 6BC is parallel side to AD and is:
BC = AD = 2*6 = 12BC must parallel to DA hence equal
Now
2(Length+Breadth)=Perimeter2(3x-2+2x)=56(5x-2)=285x=30x=6BC=2(6)=12units
Find the missing length
Step-by-step explanation:
with the height in a right triangle, we get 3 right triangles (the original one, and the 2 on both sides of the height). all 3 of these triangles are similar to each other.
that means (among other things) the ratios of 2 sides of one triangle must be the same ratio of the corresponding sides in the other triangle.
x/64 = 36/x
x² = 36×64
x = sqrt (36×64) = 6×8 = 48
long story short, x is the geometric mean value of the segments of the Hypotenuse.
geometric mean value means the nth root of the product of n numbers.
in our case - square root out of 2 numbers (the segment lengths).