Answer:
x = 4
Step-by-step explanation:
Because we know both figures have the same perimeter, we can set them equal to each other.
3x + 4 + 5x + 1 + 2x + 5 = x + 13 + x + 13 + 2x + 2x
10x + 10 = 6x + 26 (Added like terms.)
4x + 10 = 26 (Subtracted 6x on both sides.)
4x = 16 (Subtracted 10 on both sides.)
x = 4 (Divided 4 on both sides.)
25% of the tickets sold at an amusement park were discount tickets. If the park sold 40
tickets in all, how many discount tickets did it sell?
Answer: 10
Step-by-step explanation: 25% is 0.25 and 40x0.25 is 10
Ricky needs 8 meters of blue ribbon for a project. He already has 3 pieces of blue ribbon, one that measures 250 centimeters, one that measures 1,250 millimeters, and one that measures 3.75 meters. How many more meters of blue ribbon does Ricky need for his project?
How do you do this question?
Answer:
14/29
Step-by-step explanation:
Simply substitute 5 for n.
a₅ = (5 + 9) / (5×5 + 4)
a₅ = 14 / 29
Write the number four hundred thirty-eight million,eight hundred thousand is standard form
Answer:
438,800,000
Step-by-step explanation:
The number 438 million comes first, so put 438 and then a comma.
The number 800 thousand is next, so put 800 and then a comma.
There is no number for the hundreds, tens, and ones place, so put 000 with no comma after, like this.
438,800,000The radius of a circles is 5.24 ft. Determine the circumference of the circle.
Answer:
32,82 ft
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2πr.
In this case the circumference is C = 2π(5.24 ft), or approximately
32,82 ft
I have 1 bag of marbles. I put in 3 extra marbles. There are now 9 marbles in the bag. How many were in the bag to begin with?
Please give me the formula and all too
Answer:
6 Marbles
Step-by-step explanation:
9-3=6
The bag of marbles had 6 marbles in it originally.
Answer:
6
x+3=9
Step-by-step explanation:
Calculate the means
95,84,31
70 is the mean
95+84+31 =210
210/3 = 70
Find the length of a rectangle given that the perimeter is 180 feet and the length is 5 times the width.
Answer:
Hi there!
Your answer is:
The length is 75
Step-by-step explanation:
P=180
L=5w
Perimeter formula
L+L+W+W=P
Plug in known values
5W+5W+W+W=180
12W=180
/12
W=15
Plug in width in length formula!
L=5W
L=5(15)
L=75
2 more than the number of frogs is 4 ( writing Equations )
Answer:
4f+2
Step-by-step explanation:
Step-by-step explanation:
Answer:-Let the number of frogs be x.
According to statement,
2 more than the number of frogs is 4 .
So,
[tex]\boxed{\tt{2 + x = 4}}[/tex] is the required Equation.
If solution, then,
[tex]x = 4 - 2[/tex]
[tex]x = 2[/tex]
Hope it helps :)
What are the two question that you want to ask to clarify the process of translating real life situation to rational function
Answer and Step-by-step explanation:
The rational function is the function that can be written in terms of ratio that contains two polynomial functions in which the denominator is not equivalent to zero
Now the two questions that should be asked which are as follows:
1. Translate real life to rational functions.
2. Process for translate to real life to rational functions
These two questions should be asked
The two question that I want to ask to clarify the process of translating real life situation to rational function are
How can I tell if a function is rational or not?How do rational functions apply in real life situationFor better understanding, lets explain what rational function means.
Rational function is simply known to be the function of the form f(x)= p(x)/q(x) where p(x) and q(x) are polynomial and q(x) cannot equal zero or simply say it is a function gotten when we divides one polynomial by another. in real life, rational functions are often used in modeling more complex equations in science and engineering.From the above we can therefore say that the answer The two question that I want to ask to clarify the process of translating real life situation to rational function are
How can I tell if a function is rational or not?How do rational functions apply in real life situation, is correctLearn more about rational functions from:
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Experiment: Select a student from COIT
A: Student is female
B: Student is male
C: Student is an IS student
Find the value of P(A) + P(B)?
What are the features of the quadratic function f(x) = x^2 + 10x + 21?
A) Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = -5
B)
Vertex = (5,4), y-intercept = (0,-21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = 5
C)
Vertex = (-4,-5), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = -4
D)
Vertex = (-5,-4), y-intercept = (21,0), x-intercepts = (3,0) and (7,0), axis of
symmetry is x= -5
The features of the quadratic function f(x) = x^2 + 10x + 21 are Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of symmetry is x = -5 so option (A) will be correct.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example 3x² + 6x + 8 = 0 here x has highest term as 2 and coefficient of x² is not zero.
The standard form of a quadratic equation is ax² + bx + c
The x vertex is given -b/2a
So,
x-vertex = -10/2 = -5
So y = (-5)² + 10(-5) + 21 = -4
So vertex is (-5, -4)
The Y-intercept is given as (0,y)
So,
y = 21
Therefore
y-intercept = (0,21)
the x-intercept is given as (x,0)
So,
x = -7 , -3
Therefore
x-intercepts = (-7,0) and (-3,0)
The Axis of symmetry is given by -b/2a
So,
⇒ -10/2 = -5
Hence "Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of symmetry is x = -5".
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Evaluate the expression if a = 4 and b = -3 6b-2
sorry my previous answer is wrong so i cant help you
QUESTION 7
If license plates in Idaho have 4 numbers followed by 2 letters, how many different plates can be made?
a. 6,760,000
O b. 676
O c. 260
O d. 17,576,000
The number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters is 6,760,000, option a is correct.
To determine the number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters, we need to consider the possibilities for each element.
For the numbers, we have 10 options (0-9) for each of the four positions, resulting in a total of [tex]10^4 = 10,000[/tex] combinations.
For the letters, we have 26 options (A-Z) for each of the two positions, resulting in a total of [tex]26^2 = 676[/tex] combinations.
To find the total number of different plates, we multiply the number of possibilities for each element:
[tex]10,000 \times 676 = 6,760,000[/tex].
Hence, option a is correct.
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Train A is traveling at 70 mph to a destination 200 miles away. Train B will leave 20 minutes after train A. Train B will leave from Train A's destination and will head in Train A's direction. If Train B will be going at a speed 32 of Train A's, how long after Train A left will it take before Train B arrives at Train A's starting point? Round your answer to the nearest tenth of an hour
Answer:
The answer is "2.2 h"
Step-by-step explanation:
Speed of Train B:
[tex]= \frac{3}{2} \times 70 \ mph \\\\= 105 \ mph[/tex]
Train B is then moving on:
[tex]= \frac{200 \ miles}{ 105 \ mph} \\\\= 1.905 \ h\\[/tex]
Then it takes Train A to the left:
[tex]\to 1.905\ h + 20 \ min \\\\= 1.905 \ h +0.333 \ h \\\\= 2.238 \ h[/tex]
To get train B to the reference point of train A = 2.2 h
Help pleaseeee!!!!!!!!!!
Answer:
I think it's false.
In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.
6 has a relation to 5 and 10.
Answer:
No it's not a function
Step-by-step explanation:
Whats x solve 1/3x-2/3=-18
Answer:
[tex]x=-52[/tex]
Step-by-step explanation:
multiple everything by 3 to get rid of the fractions
[tex]3(1/3x-2/3=-18)\\1x-2=-54\\[/tex]
rewrite
[tex]x-2=-54[/tex]
add 2 to both sides
[tex]x-2+2=-54+2\\x=-52[/tex]
Answer:
[tex]x=-52[/tex]
Step-by-step explanation:
[tex]\frac{1}{3} x-\frac{2}{3} =-18[/tex]
Add [tex]\frac{2}{3}[/tex] to both sides of the equation:
[tex]\frac{1}{3} x=-18 +\frac{2}{3}[/tex]
Simplify [tex]-18+\frac{2}{3}[/tex] by multiplying [tex]-18[/tex] in fraction form [tex]-\frac{18}{1}[/tex] to get a common denominator so you can add the two fractions:
[tex]-\frac{18}{1}[/tex] × [tex]\frac{3}{3}=-\frac{54}{3}[/tex]
Now add the two fractions:
[tex]-\frac{54}{3} +\frac{2}{3} =-\frac{52}{3}[/tex]
Now write the simplified equation:
[tex]\frac{1}{3} x=-\frac{52}{3}[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]\frac{1}{3}[/tex]:
[tex]x=-\frac{52}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Use the reciprocal of the dividend ([tex]\frac{1}{3}[/tex]), and multiply by your divisor:
[tex]x=-\frac{52}{3}[/tex] × [tex]\frac{3}{1}[/tex]
[tex]x=-\frac{156}{3}[/tex]
Simplify the fraction by dividing [tex]-156[/tex] into [tex]3[/tex]:
[tex]x=-52[/tex]
25 points for grabs!
I have 1 bag of marbles. I put in 3 extra marbles. There are now 9 marbles in the bag. How many were in the bag to begin with?
Look I very obviously know that the answer is 6, however I would like the working out and just an explanation on how to do it. Please and thank you <3
Answer:
6 marblesStep-by-step explanation:
Let the initial number of marbles be x
Then added 3 and got 9 as final number
Equation for this and solution
x + 3 = 9x = 9 - 3x = 6whats 8+0 lol
njxzzzzzzzzzzzzzaK
Answer:
8
Step-by-step explanation:
dwayne used row operstions on an augmented matrix representing a system of equations and obtained the following result. how many solutions does dwayne's system of equations have?
Considering the given matrix, it is found that the number of solutions of the system of equations is given by:
B. 1.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The matrix form of the system can also be written as:
[tex]\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}5\\6\end{array}\right][/tex]
Applying the multiplication of the matrices, we have that:
x + 0y = 5 -> x = 5.0x + y = 6 -> y = 6.Hence the system has one solution, given by (5,6), and option B is correct.
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1. Maya's ice cream machine makes 10 cups of ice cream from 0.5 cup of sugar. How many cups of ice cream can be made with 5 cups of sugar?
Answer:
100
Step-by-step explanation:
Since ten cups of ice cream is made from .5 cups of sugar, lets first find out how many cups of ice cream can be made form one cup of sugar
.5*2=1
10*2=20
Since the ratio of sugar to ice scream is .5/10 if you do anything to the top you need to do it to the bottom
so now you have 1/20
for every one cup of sugar there are 20 cups of icecream
now you need to multiply both top and bottom by five
1*5=5
20*5=100
5/100
You can make 100 cups of ice cream
*don't forget to label your answer with cups of ice cream*
100 cups of ice cream can be made with 5 cups of sugar.
What are comparing quantities?
Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.
It is given that,
10 cups of ice cream requires = 0.5 cup of sugar
⇒ 1 cup of sugar = 10/0.5 cups of ice cream
⇒ 1 cup of sugar = 20 cups of ice cream
Hence we see that Maya's ice cream machine makes 20 cups of ice cream from 1 cup of sugar.
Similarly, 5 cups of sugar = 5 x 20 cups of ice cream
⇒ 5 cups of sugar = 100 cups of ice cream
Therefore,100 cups of ice cream can be made with 5 cups of sugar.
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I need help please I don’t understand this question
Answer:
KE = 100 J
Step-by-step explanation:
The question is asking you to use the formula with the values ...
m = 8 kg . . . . . this 'm' stands for mass
v = 5 m/s . . . . this 'm' stands for meters
Putting these values into the formula, we have ...
KE = 1/2(8 kg)(5 m/s)² = 100 kg·m²/s²
The units are equivalent to the derived SI unit "joules", abbreviated J.
The kinetic energy of the 8 kg mass is 100 J.
How do you write and compete numbers in scientific notation
-5X +1 92 - 321+13 - 12X
Plz I need help
Answer:
x= 116/17
Step-by-step explanation:
5x+192−321+13=−12x
Step 1: Simplify both sides of the equation.
5x+192−321+13=−12x
5x+192+−321+13=−12x
(5x)+(192+−321+13)=−12x(Combine Like Terms)
5x+−116=−12x
5x−116=−12x
Step 2: Add 12x to both sides.
5x−116+12x=−12x+12x
17x−116=0
Step 3: Add 116 to both sides.
17x−116+116=0+116
17x=116
Step 4: Divide both sides by 17.
17x/17=116/17
x = 116/17
2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell at a constant rate of 25mm per hour The typhoon slows down for an hour and started again at a constant rate of 20 mm per hour for the next two hours. Write a piecewise function that models the amount of rainfall as function of time.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following information:
First three hours of typhoon: rate of Rainfall. = 25mm per hour
Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours
Piecewise function which models Rainfall ad a function of time
Amount of Rainfall as a function of time = f(t)
f(t) = 25t ; if t≤ 3
When typhoon slowed down for an hour :
f(t) = 0;
f(t) = 25*3 ; for t ∈ (3, 4)
Then Rainfall at a constant rate of 20mm for another 2 hours
f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)
What would A,B,C,D,F be?
Answer:
A would be 60
B would be 50
C would be 70
D would be 110
F would be 70
The height of a golf ball hit in the air is modeled by the equation ℎ()=−162 + 48, where ℎ() represents
the height, in feet, and represents the number of seconds that have passed since the ball was hit.
Complete the statement about the function for ℎ(2)=32
If ℎ(2)=32 , then the ball reached a height of _________ feet after _________ seconds.
Answer:
4 5
Step-by-step explanation:
One day in July, the temperature at ground level at the airport was 90°. A pilot reported
the temperature at 10,000 feet was 50°. How much did the temperature drop per 1000
feet?
Answer:
it droped 40 degres
Step-by-step explanation:
Answer:
The temperature dropped 4 degrees per 1000 feet.
Step-by-step explanation:
90 - 50)/(10,000:1,000) = 40/10 = 4 degrees per 1000 ft
Someone please help me with this one
Answer:
its 5
Step-by-step explanation:
got it right on quiz
Helpppppp once again plssss?! Thank you