Answer:
The required system of equations is:
[tex]m+f = 30\\m = f+4[/tex]
Step-by-step explanation:
First of all, the variables have to be selected to represent the quantities.
Let m be the number of male friends and let f be the number of female friends.
Then according to first statement "John has 30 friends"
[tex]m+f = 30\ \ \ \ Eqn\ 1[/tex]
And according to second statement "amount of male friends is 4 more than the number of female friends."
[tex]m = f+4\ \ \ \ Eqn\ 2[/tex]
Hence the required system of equations is:
[tex]m+f = 30\\m = f+4[/tex]
WILL MARK BRAINLIEST! What is the formula to calculate the slope? Is it y^2-y^1/x^2-x^1? Please type it in for me.
Answer:
You are correct. Remember: rise over run.
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
Answer:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
the 2 and 1 represent which number they are in a series of points. For example, if I were to have points (1,2) and (3,4)
4 would be [tex]y_2[/tex] meaning it is the second y value
2 would be [tex]y_1[/tex] meaning it's the first y value
Same goes for x
3 is [tex]x_2[/tex]
1 is [tex]x_1[/tex]
so the equation for slope is [tex]\frac{4-2}{3-1}[/tex], or 1
simplifying products and quotients 2^5/4=2^5/2^a=2^b=c
please help
Answer:
8=16a=2b=c
Step-by-step explanation:
2^5/4=2^5/2^a=2^b=c
32/4=2^5/2^a=2^b=c
8=2^5/2^a=2^b=c
8=32/2^a=2^b=c
8=32/2a=2^b=c
8=16a=2^b=c
8=16a=2b=c
Simplify: -(-9) - 8(6 - 2)
Answer:
28
Step-by-step explanation:
-(-9) -8(6-2)
-(-9)-8(4)
-(-9)-32
9 - 32
28
What is the square root of 450 divided by 5?
Answer:
The square root of 450 is irrational, meaning it never ends. As an estemate though the answer is 4.24
Step-by-step explanation:
Choose the graph for the inequality.
Answer:
B
Step-by-step explanation:
Julio predicted that the average high temperature for January would be Negative 7 degrees Celsius. The actual average high temperature was 4 degrees higher than Julio’s prediction. Which describes the actual average high temperature for January?
–11°C
–3°C
3°C
11°C
Answer:
B (-3)
Step-by-step explanation:
Good Luck!
Keith has $500 in a savings account at the beginning of the summer. He withdraws $25 each week for food, clothes, and movie tickets. He wants to have an account balance of at least $200 in the account at the end of the summer.
Answer:
You can put this solution on YOUR website!
the inequality is 500 - 25x >= 200
this insures that he will have at least 200 at the end of the summer.
subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x
simplify to get 300 >= 25x
divide both sides of that equation by 25 to get 300 / 25 >= x
simplify to get 12 >= x
12 >= x means x <= 12.
when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.
when x = 12, what is left in the account is 500 - 25 * 12 = 200.
when x = 11, what is left in the account is 500 - 25 * 11 = 225.
when x = 13, what is left in the account is 500 - 25 * 13 = 175.
the maximum number of weeks he can withdraw money from his account is 12.
Step-by-step explanation:
using ratio plz help im stuck i need #5 for one side 1-5 for the other
15pts and brainliest to whoever can answer
(Also EXPLAIN the reasoning you used to find the value of P
9514 1404 393
Answer:
p = 3x+10
Step-by-step explanation:
The attached diagram pretty much explains it.
The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:
(2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line
Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:
(2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line
__
The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...
left-side area = x(2x -5)
right-side area = x(x +15)
Then the total area enclosed by the solid line is ...
x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)
__
The area of the lot extension is the product of its dimensions:
extension area = x·p
We want this to be the same as the area in the solid line, so ...
x·p = x·(3x +10)
Dividing by the coefficient of p (which is x), we have ...
p = 3x +10
Explain how to use the regression calculator to make a reasonable prediction given a data table.
Answer:
Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
Answer:
Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
its from edge
Simplify the expression.
3x3 - 2x2
Answer:
3x^3 - 2x^2
Step-by-step explanation:
This is the answer because for the equation 3x^3 - 2x^2, nothing further can be done to this equation since there are no like terms.
Find the value of f(-2) for the function f(x) = 4x + 10.
Answer:
f(-2)=2
Step-by-step explanation:
Replace all x’s with -2’s.
f(-2)=4(-2)+10
f(-2)=-8+10
f(-2)=2
The answer is 2
12(x - 6) = 2(x - 9)
Answer:
Exact form: x = 27/5
Decimal form: x = 5.4
Mixed-number form: x = 5 2/5
Step-by-step explanation:
hope this helps :)
helpp simplify thissss
Answer:
2c^2
Step-by-step explanation:
8c^3d^2/4cd^2
divide the 8 by 4 to get 2
You subtract the powers so c^3-c=c^2 the d^2 cancel each other out
that leaves 2c^2
What is the measure of a vertex angle of a triangle if the base angle measures 38° and two congruent sides each measure 42 units?
Answer:
Bearing in the mind that an ossicle triangle has twin sides and coming out of the vertex they make twin angles at the base check the picture out
Step-by-step explanation:
Same way with 42
Simplify the expression.
pls i need help
Answer:
7x+1
Step-by-step explanation:
Write the quadratic equation whose roots are 1 and -6, and whose leading coefficient is 5.
(Use the letter x to represent the variable.)
Answer:
[tex]f(x)=5x^2+25x-30[/tex]
Step-by-step explanation:
Quadratic Equation
If the roots of a quadratic equation are known, we can form the equation as follows:
[tex]f(x)=a(x-x_1)(x-x_2)[/tex]
where x1 and x2 are the known roots, and a is the leading coefficient.
We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:
[tex]f(x)=5(x-1)(x+6)[/tex]
Operating:
[tex]f(x)=5(x^2-x+6x-6)[/tex]
Simplifying:
[tex]f(x)=5(x^2+5x-6)[/tex]
Multiplying:
[tex]\mathbf{f(x)=5x^2+25x-30}[/tex]
Write a unit rate for the situation.
270 miles in 6 hours
___miles per hour
Answer:
I believe it it 13 miles per hour.
Step-by-step explanation:
We know that an object travels 270 miles, so the rate is 270 miles.
---------------------------------
6 hours
1 mile = 5,280 feet 1 day = 24 hours
5,280 x 270 = 425,600 1 hour = 3600 seconds
270 miles = 425,600 feet 3600 x 6 = 21,600
3600 x 24 = 86,400
Fraction: Fraction:
425,600 feet 4,256 ft 21,600 sec 1
------- = ----- ------------ = -------- hour
5,280 feet 528 ft 86,400 sec 4
4,256/528 ÷ 1/4 = 4,256/528 x 4/1 (reciprocal) = 17,024/528 = 439/33 = 13
Hope this helps! :)
Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 3 people? thank u if u help and need this ASAP
Answer: 1 1/8 teaspoons
Step-by-step explanation:
1 person = 3/8 teaspoons
3/8 x 3 = 1 1/8 teaspoons
Prove Theorem 6-6. Given:m AB =m CD. Prove: m AB = mCD
Answer:
Step-by-step explanation:
The measure of angle 1 is equal to the measure of angle 2, its proved by using the theorem angle of tangency using arc measure.
What is the Measure of an Angle of Tangency Using Arc Measure?Let A be a point on a circle and B be the point where a tangent (passing through B and C) intersects the circle. Then, the angle of tangency ∠ABC is half of the measure of the arc AB formed on the same side.
Given that, Arc AB= Arc CD in circle P.
Here, Arc AB= 1/2 ×m∠1 ------(i)
Arc CD= 1/2 ×m∠2 ------(ii)
Equation (i) and (ii) are equal, we get
1/2 ×m∠1=1/2 ×m∠2
m∠1=m∠2
Hence, proved.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
#SPJ5
"Your question is incomplete, probably the complete question/missing part is:"
Arc AB= Arc CD in circle P.
Prove that, m∠1=m∠2
A baker uses 1,232 ounces of flour daily. The baker's recipe for a loaf of bread calls for 12 ounces of flour. How many full loaves can he bake in one day?
Answer:
102 loafs of bread
Step-by-step explanation:
1232 ÷ 12 = 102.6666666666
102 is the answer
Answer:
102 loafs of bread
Step-by-step explanation:
1232 ÷ 12 = 102.6666666666
102 is the answer
need help i will mark brainliest
Answer:
sorry all I know is "C" is 30
Step-by-step explanation:
Answer:
t=15 k=320 p=30 j=39 r=22
It takes Mark 45 minutes to ride his bike 5 miles. At this rate, how long will it take him to ride 8 miles?
Answer:
1 hour and 12 mins
Step-by-step explanation:
I need help ASAP will reward a lot of points and mark BRAINLIEST
11 is b because the bottom needs to be 5 to dived the amount by 5 minutes and the top is the amount of words she types in 5 minutes
The proper way to write a large number in a sentence is:
a.) ten billion
b.) 10 billion
c.) 10,000,000,000
d.) tens of billions
(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *
Answer:
$65
Step-by-step explanation:
Let
x = original price of the item
Mai buys one item and saves $13,
This means 20% of the original price of the item = $13
20% of x = 13
20/100 * x = 13
0.2 * x = 13
0.2x = 13
Divide both sides by 0.2
x = 13 / 0.2
= 65
x = $65
Therefore, the original price of the item is $65
Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sure she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?
Answer:
The first deal is the best deal. After the sales tax, the second deal is the better deal. I hope this helps!!
Answer:
978678
Step-by-step explanation:
kjgh
Events which do not influence each other are called
Answer:
Independent Events
Step-by-step explanation:
Independent Events are events which do not affect each other.
HTH :)
The probability of a basketball player making a free throw is 76%. In practice she shoots 10 free throws. What is the probability that he makes 7 free throws?
Answer:
0.243
Step-by-step explanation:
Given that :
Probability of success (p) = 76% = 0.76
Number of free throws (n) = 10
Probability of making 7 free throws = r
Using binomial distribution :
nCr * p^r * (1 - p)^(n-r)
10C7 * 0.76^7 * (1 - 0.76)^(10 - 7)
10C7 * 0.76^7 * 0.24^3
120 * 0.14645 * 0.013824
= 0.24294
Hence probability of making 7 free throws from 10 is 0.243
Answer:
MK
Step-by-step explanation:
What is the solution?
Answer:
y=60 x=16
Step-by-step explanation:
the triangles are identical so 92+y=3y-28 so solve that for y:
-y +28
120=2y . /2 /2
60 = y so y=60
and 6x+2=3x+50 and solve that for x: which gets x = 16
Then are you supposed to plug it in to the numerical equvilant to the angles and sides becuase if so: B and E is 152, AC and DF are 98
Hope this helps and brainliest would be greatly appreciated! Thanks!