For this case we must find the value of "c" of the following expression:
[tex]\frac {c} {3} = \frac {30} {5}[/tex]
We solve the right side of the equation:
[tex]\frac {30} {5} = 6[/tex]
Rewriting:
[tex]\frac {c} {3} = 6[/tex]
We multiply both sides of the equation by "3":
[tex]c = 6 * 3\\c = 18[/tex]
Answer:
[tex]c = 18[/tex]
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost for hamburgers (h) and French fries (f).
Answer:
2h+2f=10.50
4h+3f=19.50
The equation that could be used to determine the cost of the hamburgers and French fries is,
2h+2f=10.50
4h+3f=19.50
We have given that,
Aron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries.
His total cost is $10.50.
The next week, he goes with two other friends.
They order four hamburgers and three French fries.
This time the total is $19.50.
What is the linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Therefore the equation that could be used to determine the cost of the hamburgers and French fries is,
2h+2f=10.50
4h+3f=19.50
To learn more about the equation visit:
https://brainly.com/question/2972832
#SPJ2
Is 6.333 a irrational number & If so what is it
it is a rational number
Answer:
yes
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex], where a and b are integers
6.333 can be expressed as
6 [tex]\frac{333}{1000}[/tex] = [tex]\frac{6333}{1000}[/tex] ← a rational number
it's possible for a table to display yes/no and numberic data at the same time
Answer:
yea it can
Step-by-step explanation:
Final answer:
A table can simultaneously display yes/no (Boolean) and numeric data. Yes/No fields in databases are often checkboxes representing binary choices, while other columns can store numeric data. The data types assigned to these fields determine how they are sorted and displayed in the table.
Explanation:
Yes, it is entirely possible for a table to display both yes/no and numeric data at the same time. The yes/no data is often referred to as binary, Boolean, or Yes/No datatype, and in databases, it commonly appears as a checkbox. These Yes/No fields contain only two possible values, such as Yes/No, True/False, or On/Off. On the other hand, the numeric data represents quantitative information that can be measured and written down with numbers.
Tables are quite versatile and can conveniently organize complex numerical information, alongside qualitative categories, in a structured format using rows and columns. For example, a table can be used to compare different models of a product using criteria represented by both text and numbers, such as product features ('Yes' for having a feature and 'No' for not having it) and specifications like price or weight (numeric data).
It's important to keep in mind that when designing a database, every field is assigned a datatype based on what type of data it holds. For fields containing text, a 'text' datatype is used; whereas for fields containing numeric values, a 'number' datatype is chosen. The datatype affects how the data is sorted and processed within the table.
Remove the radical from the denominator below. Do not simplify the answer
I believe the answer is A.
Multiply the top and the bottom by the conjugate of the bottom.
So, multiply the given problem by (6+sqrt 13). This eliminates the radical from the bottom.
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of `pi`.)
A.
452.16 cm3
B.
840.54 cm3
C.
1,055.04 cm3
D.
1,456.96 cm3
Plz help me with this
hey friend it is Observational study because it says that her records hourly temperature over the course of several years in order to make a decision(variations) or to analyse his experiments. ;)
Answer: B) Observational Study
Step-by-step explanation:
A) Experiment is when the researcher influences the results in some manner
B) Observational Study is when the researcher observes or measures the data but does not influence the results.
C) Survey is when the researches collects data from a sample group to evaluate data about a larger group.
cuanto es 0÷0 necesito ayuda por favor
Answer:
Null (not defined)
Step-by-step explanation:
We cannot divide by 0; division by zero (0) is undefined. If you take calculus later on, you'll "take limits" and will occasionally end up at 0/0. Sometimes it's possible to find a numerical value; more often, it's not.
No podemos dividir por 0; La división por cero (0) no está definida. Si toma el cálculo más adelante, "tomará límites" y en ocasiones terminará en 0/0. A veces es posible encontrar un valor numérico; más a menudo, no lo es.
Complete the ratio table to convert the units of measure from centimeters to inches or inches to
centimeters.
Centimeters
Inches
1
2.54
5.08
10
Answer:
5.08 centimeters equals 2 inches
10 inches equals 25.4 centimeters
Step-by-step explanation:
we have to complete the following table.
According to the information contained in table 2.54 centimeters it is equal to 1 inch
The first information we have to complete is how many inches equals 5.08 centimeters
To solve it we apply a simple rule of three
[tex]2.54 centimeters \longrightarrow 1 inch \\5.08 centimeters \longrightarrow x[/tex]
[tex]x=\frac{(5.08)(1)}{2.54} \\x=2[/tex]
5.08 centimeters equals 2 inches
The second information that we have to complete is how many centimeters equals 10 inches
[tex]1 inch \longrightarrow 2.54 centimeters\\10 inches\longrightarrow x \\x=\frac{(10)(2.54)}{1} \\x= 25.4[/tex]
10 inches equals 25.4 centimeters
Answer:may 5cm
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answer:
You multiply the L, W, and H. that should you to your answer!
Hope this helps! :)
Step-by-step explanation:
Yup (l x w x h) = volume of prism.
(L x w) = area
The sporting equipment has been sorted into baseballs and bats. The number of baseballs is four less than three times the number of bats. The equipment is 80% baseballs. Choose the equation that best represents this scenario
Answer: Second Option
[tex]\frac{x}{3x-4} = \frac{20}{80}[/tex]
Step-by-step explanation:
The baseball team is composed of bats and balls.
Call x the number of bats and call z the number of balls.
Then we know that:
The number of baseballs is four less than three times the number of bats.
This is:
[tex]z = 3x-4[/tex] (I)
Then we know that the team is 80% baseballs
This is:
[tex]\frac{x}{z} = \frac{0.2}{0.8}[/tex] (II)
We substitute the first equation in the second and we have:
[tex]\frac{x}{3x-4} = \frac{0.2}{0.8}\\\\\frac{x}{3x-4} = \frac{20}{80}[/tex]
Answer:
x/(3x-4) = 20/80
help needed on highlighted questions! 20 points
For this case we must solve the following questions:
Question 1:
We must solve the following quadratic equation:
[tex]x ^ 2 + 1 = 0[/tex]
We subtract 1 from both sides of the equation:
[tex]x ^ 2 + 1-1 = -1\\x ^ 2 = -1[/tex]
We apply square root to eliminate the exponent:
[tex]x = \pm \sqrt {-1}[/tex]
The solution is not real.
[tex]x_ {1} = + i\\x_ {2} = - i[/tex]
Answer:
[tex]x_ {1} = + i\\x_ {2} = - i[/tex]
Option D
Question 2:
We must solve the following quadratic equation:
[tex]x ^ 2-10x + 24 = 0[/tex]
We factor the equation, that is, we must look for two numbers that when multiplied give as result 24 and when summed with -10. These numbers are -6 and -4:
[tex]-6-4 = -10\\-6 * -4 = 24\\(x-6) (x-4) = 0[/tex]
The roots are:
[tex]x_ {1} = 6\\x_ {2} = 4[/tex]
ANswer:
[tex]x_ {1} = 6\\x_ {2} = 4[/tex]
Option D
Question 3:
We must complete squares of the following expression:
[tex]x ^ 2-18x = 7[/tex]
We add [tex](\frac {b} {2}) ^ 2 = (\frac {-18} {2}) ^ 2 = (- 9) ^ 2[/tex]
Then:
[tex]x ^ 2-18x + (- 9) ^ 2 = 7 + (- 9) ^ 2\\x ^ 2-18x + (- 9) ^ 2 = 7 + 81\\x ^ 2-18x + (- 9) ^ 2 = 88\\(x-9) ^ 2 = 88[/tex]
Then, to complete the square, add it to both sides [tex](-9) ^ 2 = 81[/tex]
Answer:
Option C
ALOT OF POINTS PLEASE HELP
Answer:
i cant read it
Step-by-step explanation:
Answer:
The cone is a 1/3 of a cilinder.
hope this helped!
which formula do you use to find the surface area of a cylinder
================================================
Explanation:
The portion that has 2pi*r^2 represents the two base areas (think of the top and bottom of a can). The 2*r*pi*h is the lateral surface area, which can be thought of as the area in which the label covers. So put together the total surface area of the entire cylinder is 2pi*r^2 + 2*r*pi*h
note: 2*r*pi*h is the same as 2pi*r*h
A plane is to be loaded with bottles of water and medical supplies to be sent to victims of an earthquake. Each bottle of water serves 10 people and each medical kit aids six people. The goal is to maximize z, the total number of people helped, where z = 10x + 6y, and x is the number of bottles and y is the number of medical kits. Using the constraints of the situation (plane weight and volume capacities) the shaded region is in the graph is obtained. Which vertex of the region represents the solution to the maximization problem?
Answer:
The vertex that maximize the problem is (2,000,4,000)
Step-by-step explanation:
we have
[tex]z=10x+6y[/tex]
The vertex of the shaded region are
A(0,0), B(4,000,0),C(2,000,4,000), D(0,6,000)
Substitute the value of x and the value of y of each vertex in the z equation to find the solution
case A) A(0,0)
[tex]z=10(0)+6(0)=0[/tex]
case B) B(4,000,0)
[tex]z=10(4,000)+6(0)=40,000[/tex]
case C) C(2,000,4,000)
[tex]z=10(2,000)+6(4,000)=44,000[/tex]
case D) D(0,6,000)
[tex]z=10(0)+6(6,000)=36,000[/tex]
therefore
The vertex that maximize the problem is (2,000,4,000)
Answer:
C) (2000, 4000)
Step-by-step explanation:
someone help me please
Answer:
You answer should be -12.
Step-by-step explanation:
b2−4ac
=(6)^2−4(4)(3)
=−12
find the sum or difference. make sure your answer is simplified. work must be shown.
3/4x+1/20x
[tex]\bf \cfrac{3}{4x}+\cfrac{1}{20x}\impliedby \textit{so let's use an LCD of 20x} \\\\\\ \cfrac{(5)3~~+~~(1)1}{20x}\implies \cfrac{15+1}{20x}\implies \cfrac{16}{20x}\implies \cfrac{4}{5x}[/tex]
Which cylinders have the same volume as the cylinder below? Check all that apply.
Option 2 in the given figure will have a maximum volume of 5120π cubic meters.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. To find out the volume of the cylinder we need the length and diameter of the cylinder.
The volume of the first figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 10² ) 64 = 1600π cubic meters
The volume of the second figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 32² ) 20 = 5120π cubic meters
The volume of the third figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 10² ) 128 = 3200π cubic meters
We can see that the volume of the third figure is maximum.
Therefore Option 2 in the given figure will have a maximum volume of 5120π cubic meters.
To know more about Volume follow
https://brainly.com/question/1972490
#SPJ2
solve for x. round to the nearest hundredth if necessary.
Answer:
The correct answer is first option
X = 10.53
Step-by-step explanation:
Points to remember
Trigonometric ratios
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = opposite side/Adjacent side
From the figure we can see a right angled triangle, with one angle is 29 degree, one side is 19 and hypotenuse is x
To find the value of x
Tan θ = Opposite side/Adjacent side
Tan 29 = 19/x
x = 19 * Tan 29
= 19 * 0.5543
= 10.53
Therefore the correct answer is first option
Answer:
Final answer is approx [tex]x=34.28[/tex].
Step-by-step explanation:
Using given information in the picture, we need to find the missing value of x.
Apply formula of tangent function which is :
[tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]
[tex]\tan\left(29^o\right)=\frac{19}{x}[/tex]
[tex]0.554309=\frac{19}{x}[/tex]
[tex]x=\frac{19}{0.554309}[/tex]
[tex]x=34.2769105319[/tex]
Hence final answer is approx [tex]x=34.28[/tex].
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which best describes why the graph relating the total amount of gasoline in the tank, y, to the number of gallons that she added to it, x, will be continuous or discrete?
The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.
The graph will be continuous because we are not told a maximum value for the amount of gas.
The graph will be discrete because there are already exactly 4 gallons of gas in the tank, so to fill it up will take a whole number of gallons of gas.
The graph will be discrete because there is an end to the amount of gas she can use, as the tank will be completely full at some point.
Answer:
12
Step-by-step explanation:
add 2 and 5
please help!!!!!
30 pts!!
Answer:
she can make 3 fruit cakes i don't know the rest
Step-by-step explanation:
The answer is 47 bc that’s what it is
Faith reads each night before bed. She read 623 pages last week. If she read the same number of pages every night, which equation can be used to determine how many pages Faith read each night?
Answer:
x= 623/7 x =89 89 pages every night
Step-by-step explanation:
A week has 7 days
She reads 623 pages in one week(623 in 7 days)
8378909u4738938576743898567854ijthguiek
Standard wise. Put innnv graphs[tex]\lim_{n \to \infty} a_n[/tex][tex]\pi[/tex]⇒°О Aproximate form. 623= 624=625 and so on ( yeah you get the point ) so it will623x ex is 699
Need this to graduate. Math 3- 10 points. Find the function!
The answer is:
The fourth option,
[tex](f-g)(x)=11x[/tex]
Why?To solve the problem, we must remember the following property of the functions:
Subtraction of functions:
We have that,
[tex](f-g)(x)=f(x)-g(x)[/tex]
We are given the functions:
[tex]f(x)=4x+3[/tex]
and
[tex]g(x)=3-7x[/tex]
So, calculating we have:
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(4x+3)-(3-7x)[/tex]
[tex](f-g)(x)=4x+3-3+7x[/tex]
[tex](f-g)(x)=4x+7x+3-3=11x[/tex]
Hence, the answer is the fourth option,
[tex](f-g)(x)=11x[/tex]
Have a nice day!
Answer:
(D) (f-g)(x) = 11x
Step-by-step explanation:
You have:
f(x) = 4x + 3
g(x) = 3 - 7x
You want to do f(x) - g(x)... you simply do the operation on their definition...
f(x) - g(x) = 4x + 3 - (3 - 7x) = 4x + 3 - 3 + 7x = 11 x + 0
So, (f-g)(x) = 11x
You can verify it by placing a value for x in both equations. Let's take x = 3
f(x) = 4x + 3 = 4(3) + 3 = 15
g(x) = 3 - 7x = 3 - 7(3) = -18
f(x) - g(x) = 15 - -18 = 33
(f - g)(x) = 11x = 11 (3) = 33
Yes, (f(x) - g(x)) = (f - g)(x) = 33
James is 1.63 meters tall. Write James’s height in word form. Explain how you Found your answer.
Answer:
James is 1 meter and 63 centimeters tall
Step-by-step explanation:
James is 1 meter and 63 centimeters tall. The first step will be to subtract 1 from his height;
1.63 - 1 = 0.63 meters
The 1 subtracted is equivalent to 1 meter. The next step is to convert the remaining height in meters to centimeters by multiplying by 100;
0.63 * 100 = 63 centimeters
We can thus say, James is 1 meter and 63 centimeters tall or equivalently 163 centimeters tall
3. Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year. Find when the sale of cars will be more then the sale of motorcycles.
(SHOW WORK)
In a survey in 2010, the population of two plant species were found to be growing exponentially. Their growth is given by these equations: species A, and species B, , where t = 0 in the year 2010.
Answer: 7 years
Step-by-step explanation:
year 1 5.75 (million) x 1.16 (16 percent ) = 6.67 motorcycles
year 2 6.67 x 1.16 = 7.7372
year 3 7.74 x 1.16 = 8.9784
year 4 8.98 x 1.16 = 10.4168
year 5 10.42 x 1.16 = 12.0834
year 6 12.09 x 1.16 = 14.0244
year 7 14.02 x 1.16 = 16.2632
year 1 3.5 (million) x 1.25 (25 percent) = 4.375
year 2 4.375 x 1.25 = 5.46875
year 3 5.47 x 1.25 = 6.8359
year 4 6.84 x 1.25 = 8.5449
year 5 8.55 x 1.25 = 10.6875
year 6 10.69 x 1.25 = 13.359375
year 7 13.36 x 1.25 = 16.7
The simplest form of 3 cube root of 162 is a3 cube root b
Answer:
[tex]3 \sqrt[3]{162} = 3 \sqrt[3]{27} \sqrt[3]{6} = 3(3 \sqrt[3]{6} ) = 9 \sqrt[3]{6} [/tex]
Final answer:
The simplest form of 3 cube root of 162 is 9 cube root 2, with a=9 and b=2 after factoring out the perfect cube within 162.
Explanation:
The student has asked about simplifying the expression 3 cube root of 162 into the form a3 cube root b. The cube root of 162 can be simplified by factoring out cubes. The number 162 is equal to 2 * 81, where 81 is a perfect cube (3³). Thus, we can rewrite 162 as 2 * 3³. When taking the cube root, the cube root of 3³ is 3, and it comes out of the cube root symbol leaving us with 2 inside the cube root. Multiplying this by 3 outside the cube root, we get:
3 * 3 cube root 2 = 9 cube root 2
Therefore, the expression in its simplest form is 9 cube root 2, which follows the format a3 cube root b with a=9 and b=2.
Need some help with this math question thanks :)
Answer:
Option B [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
we know that
[tex]sin(2\theta) = 2 sin(\theta) cos(\theta)[/tex]
In this problem we have
[tex]cos(\theta)=\frac{4}{5}[/tex]
Find the value of [tex]sin(\theta)[/tex]
Remember that
[tex]sin^{2} (\theta)+cos^{2} (\theta)=1[/tex]
substitute the value
[tex]sin^{2} (\theta)+(\frac{4}{5})^{2}=1[/tex]
[tex]sin^{2} (\theta)=1-\frac{16}{25}[/tex]
[tex]sin^{2} (\theta)=\frac{9}{25}[/tex]
[tex]sin(\theta)=\frac{3}{5}[/tex]
Find the value of [tex]sin(2\theta)[/tex]
[tex]sin(2\theta) = 2 (\frac{3}{5})(\frac{4}{5})[/tex]
[tex]sin(2\theta) = \frac{24}{25}[/tex]
The point (-3,4) is reflected across the x-axis. What is the coordinates of its new location?
Semd a pic of a graph bc I dont have paper
The point (-3,4) when reflected across the x-axis results in new coordinates (-3, -4), changing the sign of the y-coordinate.
The question asks for the new coordinates of a point after being reflected across the x-axis. Reflecting a point across the x-axis changes the sign of the y-coordinate but leaves the x-coordinate unchanged. Therefore, if we have a point (-3, 4) and we reflect it across the x-axis, the x-coordinate remains -3, and the y-coordinate, which is 4, will become -4, resulting in the new coordinates (-3, -4).
Monique only has $36 to buy pens and notebooks. Each pen costs $2. Each
notebook costs $3. Which of the following graphs represents the possible
combinations of pens and notebooks that she may purchase?
Answer:
9 notebooks=36 or 12 pens=24+ 4 notebooks=12 in total 36
Step-by-step explanation:
first way: 9×4=36
second way: 12×2=24
3×4=12
24+12=36
What is (-6x) to the third power
Answer:
-216 x^3
Step-by-step explanation:
(-6x)^3
This is really (-6x)* (-6x) * (-6x)
-216 x^3
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is
the first year the f(x) height is greater than the g(x) height?
A) year 0
B) year 1
C) Year 2
D) year 3
I believe you answer would be D
Answer:
None of them.
Step-by-step explanation:
you want to find the least value of x for which f(x)>g(x). Then replacing both expressions we have
[tex]4x>5x+2\rightarrow -2>5x-4x=x[/tex] . This means that for f to be greater than g, x should be less than -2. Since we are considering x>0, given that it represents years (which are always positive), the question does not have a correct answer.