Using proportions, it is found that the expression that shows the total height of Grandma Maude’s cake is:
[tex]t = 12x^5 + 5x^3 - 2x[/tex]
This question is solved by proportions, using a rule of three.The measure of one layer, in cm, was of [tex]2 + 3x^2[/tex]. In total, there were [tex]4x^3 - x[/tex] layers.The rule of three is:
1 layer - [tex]2 + 3x^2[/tex] cm
[tex]4x^3 - x[/tex] layers - t cm
Applying cross multiplication:
[tex]t = (4x^3 - x)(2 + 3x^2) = 12x^5 + 5x^3 - 2x[/tex]
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Answer:
12x5 + 5x3 – 2x cm
Step-by-step explanation:
what does the u stand for in these problems? is it the same as r?
I think "u" stands for units. [tex]u^2[/tex] means units squared which is like saying ft^2 if you were looking for the area of something with feet dimensions. So in this case, the circle has a diameter of x units (u) and an area of x units^2 ([tex]u^2\\[/tex]). It is not the same as r. "r" is most always going to be used to represent the radius.
Which that is that could be represented by the plot chart shown below?
Answer:
24 25 26 27 28 29 30 31 32 33 34
Step-by-step explanation:
What is the answer to this : Simplify 4 4128
Answer:
1032/1
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 4128 and 4 is 4
Divide both the numerator and denominator by the GCD
4128 ÷ 4
4 ÷ 4
Reduced fraction:
1032
1
Therefore, 4128/4 simplified to lowest terms is 1032/1.
John is packing cookies for Key club's bake sale. He has 48 chocolate chips cookies and 56 peanut butter cookies. What is the maximum number of bags he can make?
The maximum number of bags is an illustration of the greatest common factor
The maximum number of bags John can make is 8
The given parameters are:
[tex]Chocolate=48[/tex]
[tex]Peanut=56[/tex]
Start by expressing 48 and 56 as a product of their factors.
[tex]Chocolate = 1 \times 2 \times 2 \times 2 \times 2 \times 3[/tex]
[tex]Peanut = 1 \times 2 \times 2 \times 2 \times 7[/tex]
The product of the common factors between the above products is:
[tex]Factors = 1 \times 2 \times 2 \times 2[/tex]
Multiply
[tex]Factors = 8[/tex]
The above represents the greatest common factor of 48 and 56.
Hence, the maximum number of bags John can make is 8
Read more about greatest common factor at:
https://brainly.com/question/219464
Step-by-step explanation:
To determine the maximum number of bags John can make, we need to find the greatest common divisor (GCD) of the two quantities: 48 chocolate chip cookies and 56 peanut butter cookies.
The GCD is the largest number that divides both quantities without leaving a remainder. It represents the maximum number of bags that can be made, with each bag containing an equal number of cookies of each type.
Let's find the GCD of 48 and 56:
Step 1: List the divisors of each number:
Divisors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Step 2: Identify the common divisors in both lists:
Common divisors of 48 and 56: 1, 2, 4, 8
Step 3: Determine the greatest common divisor (GCD):
The greatest common divisor of 48 and 56 is 8.
So, John can make a maximum of 8 bags, with each bag containing an equal number of chocolate chip and peanut butter cookies.
PLEASE MARK AS BRAINLIEST IF SATISFIED WITH THIS ANSWER PLEASE
A choir teacher is dividing 48 sopranos and 32 altos into singing groups. He wants each
group to have the same combination of sopranos and altos, with no singers left over. What is
the area
Answer:
32
Step-by-step explanation:
x(48 - 2x) = 32
Hope it helps.
“find the measure of angle A” whats the answer for both of them?
Answer:
255) 36°
257) 30°
Step-by-step explanation:
The sum of the angle measures in a triangle is 180°.
__
255)(x +43) +(x +77) +74 = 180
2x = -14 . . . . . . . . . . . subtract 194
x = -7
∠A = -7 +43 = 36°
__
257)5x +(3x +2) +130 = 180
8x = 48 . . . . . . . . . . . . . . subtract 132
x = 6
∠A = 5·6 = 30°
The slope of a line passing through (3,y) and (6,-7) is -4. Solve for y.
Answer:
6 (i think :/)
Step-by-step explanation:
Select the correct answer.
Why would someone choose to invest rather than depend only on savings?
A. An investment account provides regular income, while money held in a savings account may decrease.
B. An investment account has the potential to earn more money than a savings account.
C. An investment account has a fixed maturity date, but a savings account doesn't.
D. There's less risk of losing money held in an investment account than in a savings account.
Answer:
B
Step-by-step explanation:
Money invested in stock or something else has the potential to grow exponentially (at the risk of losing most of it) vs money in the bank will grow very slowly and may not even keep up with inflation making it worth less than it used to be.
help me plzzz its too hard
Which graph shows a function and it’s inverse?
HELP PLEASE
Answer:
C
Step-by-step explanation:
A function and its inverse are obtained by reflecting in the line y = x
Under a reflection in the line y = x
a point (x, y ) → (y, x )
In graph C
the red line has a point (0, 2 )
the blue line has a point (2, 0 )
Then graph C shows a function and its inverse
How do you write 2/5 as a percentage
Answer:
40%
Step-by-step explanation:
To convert a decimal to a fraction, multiply it to 100
[tex]\frac{2}{5} \times 100[/tex]
[tex]=\frac{2}{5} \times \frac{100}{1}[/tex]
[tex]=\frac{2\times100}{5\times1}[/tex]
[tex]=\frac{200}{5}[/tex]
[tex]=40[/tex]
Therefore, [tex]\frac{2}{5}[/tex] is 40%
Step-by-step explanation:
Explanation:
To get 25 as a percent, we need the denominator to be 100 .
Now that we have a denominator equal to 100 , just look at the numerator and that's your percent.
40%
.40.
.4 or 0.4.
£4800 is divided among three brothers
A, B and C. A receives three times as much as B and C receives twice as much as B. If B receives $x, form an equation in x.
Answer:
A: 2400
B: 600
C: 1800
Step-by-step explanation:
A= x+3x=4x
C = x+2x= 3x
4x+x+3x = 4800
8x= 4800
x= 600
share of A= 2400$
share of B= 600$
share of C= 1800$
The perimeter of the equilateral triangle drawn below is 9b + 12.
The shape below is made of four of these triangles.
Find a simplified expression for its perimeter.
A car travels a total distance of 380 miles in a total of 5 hours. The rate the car was traveling during
that time was
What is the slope of the line. ?
Answer:
-1
Step-by-step explanation:
rise/run
rise=-1
run=1
-1/1=-1
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
Answer:
Left 3, top 2.4, right 3.6, bottom 4. Scale factor 5
Step-by-step explanation:
the question is what is 4p - 9
Answer:
4xp-9
Step-by-step explanation:
pls help me . Eleven family members are going on a trip together. They have cars that fit only 4
people. How many cars will they need to take? help
Answer:
3.
Step-by-step explanation:
Since there are 11 family members and only 4 people fit in a car, they will have to take 3 cars.
4 x 3 = 12,
Also, even though there is going to be 1 seat extra you cannot squeeze 3 people in. Ps. (Just a safety note) In real life it is illegal to drive with extra passengers in a vehicle.
Hope that helps. x
Answer:
3
Step-by-step explanation:
3×4=12 so will still have one vacant seat on one of the cars
Consider the expression 20-(4^2/2). How many terms does the expression have?
Answer:
huh
Step-by-step explanation:
5x²-11x +6 . factories the expression
Answer:
5
x
2
−
11
(
x
)
+
6
Step-by-step explanation:
[tex]5x^2-11x+6\\\\=5x^2-5x-6x+6\\\\=5x(x-1) - 6(x-1)\\\\=(x-1)(5x-6)[/tex]
2/3 plus 1/4 plzzzzzzzzzzzzzzzzzz
11/12
Answer:
1. find the least common denominator (LCD) of 2/3, 1/4 in other words, find the Least Common Multiple (LCM) of 3,4
Least Common Multiple (LCM) of 3,4 LCD = 12
Least Common Multiple (LCM) of 3,4 LCD = 122.
Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.
Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__
Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x3
Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x33. Simplify denominators are Now The Same.
8/12 + 3/12
4. join the denominators
__8+3_____
12
5. Answer 11/12
Btw the Lines are Just For Separating numbers.
Can yall please help me it isn't college work it is 6th grade math
Answer:
C) 1,250
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer: To answer this we have to remember how to find the total amount of cash he will be spending. Since 19.2% is 240, we multiply that by 100. We end up with 24,000 which you will then divide by the percentage. After that, you have your final answer which is 1,250. To double-check you can make sure that 19.2% of 1,250 is 240, which it is. Therefore, your final answer is $1,250.
If 8 boys are arranged in a row, what is the probability that 3 boys will sit together?
Answer:
100% if you have 8 boys in a row the change that three boys will sit next to each other is 100%
Hope This Helps!!!
Answer:
i think probably 3/28 ,that 3 boys will sit together
Simplify -6
1
4.
8
3
00w
8
1
A
8
00
00 W
3
8
8
Answer:
4th on should be the correct
The diagonal of an isosceles trapezoid with angle to the base is equal to 30. Find the length of the height of the trapezoid if it is known that the midline of this trapezoid is equal to 8 cm.
Answer:
4.62 cm to nearest hundredth.
Step-by-step explanation:
If the parallel sides are x and y then:
x + y = 2*8 = 16
x + y = 16
If we drop a perpendicular line from one of the upper points on the trapezoid we have the height. Let the upper point be C and the point on the base be A. Let the point on right of the base be B.
AC is the height of the trapezoid. AB is the baseline of the triangle CAB.
In triangle CAB the angle B is 30 degrees.
As this is a 30-60-90 degree triangle
AC/AB = 1/√3 so AC = AB/ √3.
As the trapezoid is isosceles:
AB = x + 0.5(y - x)
AB = 0.5x + 0.5y
So AC = 1 /√3 (0.5x + 0.5y)
= 1 /√3 (0.5x + 0.5(16 - x)) (Substituting for x)
= 1 /√3 (0.5x + 8 - 0.5x)
=8 / √3
. = 4.6188 cm
Please help me!!!! I will try to give brainliest!!!
Marcus is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Marcus cannot spend more than $50. Write and solve an inequality to find the most Marcus can spend on the items for each bag.
Starting inequality:
Ending inequality:
Answers:
Starting inequality: [tex]10(x+0.75) \le 50[/tex]
Ending inequality: [tex]x \le 4.25[/tex]
==================================================
Work Shown:
x = amount spent per bag, ignoring the bag fee
x+0.75 = amount per bag including bag fee
10(x+0.75) = total amount spent on the ten bags
This amount cannot be more than $50. This means 50 dollars is the highest we can go, aka the ceiling value.
That means we'd write [tex]10(x+0.75) \le 50[/tex] as one possible starting inequality.
Let's solve for x
[tex]10(x+0.75) \le 50\\\\10x+7.5 \le 50\\\\10x \le 50-7.5\\\\10x \le 42.5\\\\x \le 42.5/10\\\\x \le 4.25[/tex]
The most he can spend on the items for any single bag is $4.25, which is ignoring the $0.75 fee
If we tack that fee on, then he spends 4.25+0.75 = 5 dollars per bag and ten of such bags leads to 5*10 = 50 dollars total. The answer is confirmed.
25. Solve for x:
4x-3/2=5/3
Answer:
X = 19/24
Step-by-step explanation:
Move the constant: 4x = 5/3 + 3/2
Add The Fractions: 5/3 + 3/2 = 19/6
Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24
Solve the system of two linear equations below graphically y= -x + 1 y= -1/3+ 3
Answer:
Step-by-step explanation:
factor the given expression. 64x^3-343
Answer:
( 4 x − 7 ) ( 16 x 2 + 28 x + 49 )
Step-by-step explanation:
Answer:
(4x - 7) (16x^2 + 28x + 49)
Step-by-step explanation:
Since both terms are perfect cubes, factor using the difference of cubes formula, a^3 - b^3 = (a - b) (a^ 2 + a b + b^ 2 ) where a = 4 x and b = 7 .
Which of the following rational functions is graphed below
Answer:
C
Step-by-step explanation:
Ti-83 graph proves it.