y = 7x + 20
4x - y = -11
solve by substitution
Answer:
x = - 3, y = - 1
Step-by-step explanation:
y = 7x + 20 -----> equation 1
4x - y = - 11
4x - ( 7x + 20 ) = - 11
4x - 7x - 20 = - 11
- 3x = - 11 + 20
- 3x = 9
x = 9 / - 3
x = - 3
Substitute x = - 3 in equation 1,
y = 7 ( - 3 ) + 20
= - 21 + 20
y = - 1
Hence,
x = - 3
y = - 1
Answer:
x = -3y = -1Explanation:
y = 7x + 20 __ equation 1
4x - y = -11
y = 11 + 4x __ equation 2
using substitution method,
11 + 4x = 7x + 20
4x - 7x = 20 - 11
-3x = 9
x = -3
Find y,
y = 7x + 20
y = 7(-3) + 20
y = -1
HELP ASAP !
b) findthe equation of circle having (2,3) and (4,0) as the end points of the diameter
Answer:
[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]
Step-by-step explanation:
Let A(2,3) and B(4,0) be the end points of the diameter
then the segment AB is the diameter of the circle
Then the center of the circle (point M) is the midpoint of segment AB
Then M( (2+4)/2 , (3+0)/2 ) then M( 3 , 3/2 )
Now let’s find the radius r of our circle :
r = AB/2
Then
[tex]r=\frac{AB}{2} =\frac{\sqrt{(0-3)^{2}+(4-2)^2} }{2} =\frac{\sqrt{13} }{2}[/tex]
Then Equation of the circle is:
[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} = \left( \frac{\sqrt{13} }{2} \right)^{2} \\\Longrightarrow \left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]
Fill in the table using this function rule
y=2x+2
Photo ⬇️
Answer:
Step-by-step explanation:
Put the values of x to the equation y = 2x + 2 and calculate the value of y:
x = 2
y = 2 · 2 + 2 = 4 + 2 = 6
x = 5
y = 2 · 5 + 2 = 10 + 2 = 12
x = 6
y = 2 · 6 + 2 = 12 + 2 = 14
x = 8
y = 2 · 8 + 2 = 16 + 2 = 18
all expressions for 10x-30
what is the value of 350 - 30(-14 + 3.5)
Answer:
665
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Answer:
665
Step-by-step explanation:
350 - 30( - 14 + 3.5) ← evaluate the parenthesis
= 350 - 30( - 10.5) ← distribute parenthesis by - 30
= 350 + 315
= 665
Solve the system of equations by substitution. X + y = 32 y = 7x The solution of the system is (Simplify your answer. Type an ordered pair.)
if you can can you please write out the steps
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
The given equations are :
[tex]\qquad \sf \dashrightarrow \:x + y = 32[/tex]
and
[tex]\qquad \sf \dashrightarrow \:y = 7x[/tex]
Now, plug in the value of y from equation 2 into equation 1 to find out the value of x ~
[tex]\qquad \sf \dashrightarrow \:x + y = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:x + 7x = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:8x = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 32 \div 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]
Now, plug the value of x in equation 2 to find y
[tex]\qquad \sf \dashrightarrow \:y = 7x[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 7 \times 4[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 28[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
FIRST ANSWER GETS CROWN!
Answer:
7 is first
2 is second
7.3 is third
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
the horizontal leg = 7 units
the vertical leg = 2
using Pythagoras' identity to find the distance d
d = [tex]\sqrt{7^2+2^2}[/tex] = [tex]\sqrt{49+4}[/tex] = [tex]\sqrt{53}[/tex] ≈ 7.3 ( to 1 dec. place )
Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg were
used in a procedure. Write an equation that can be used to determine how much of
the isotope is left after x number of half-lives.
How much would be left after 70 days?
After x half-lifes, the amount of the isotope is:
A(x*T) = 90mg*e{-x*ln(2)}
And after 70 days, there are 5.628 mg
What is the half-life?
We define the half-life as the time such that the inital amount of a given substance reduces to half of it.
If the half-life is T, the amount of the substance can be written as:
A(t) = a*e^{-λ*t}
Where λ = ln(2)/T.
and a is the initial amount.
In this case, T = 17.5 days, then:
λ = ln(2)/17.5 days = 0.0396 / day
And we also have a = 90mg
Then the exponential equation is:
A(t) = 90mg*e^{-t*0.0396 / day}
After x half-lifes, the amount of the isotope left is:
A(x*T) = 90mg*e^{-x*T*ln(2)/T} = 90mg*e^{-x*ln(2)}
And after 70 days the amount is:
A(70 days) = 90mg*e^{-70 days*0.0396 / day} = 5.628 mg
If you want to learn more about exponential decays, you can read:
https://brainly.com/question/11464095
Answer:
Y=90mg(0.5)^5
1.86 after 70 days
Step-by-step explanation:
Jennifer wants to know how many of her company’s 1,800 employees ride the bus to work. She asks every fourth employee out of 800 entering the building from the parking garage
Last month, luke spent $1,300 on his mortgage (home loan payment), $320 for food, $280 on entertainment, $275 for his car payment, $60 on car insurance, and $75 on clothing. what was the difference for the month between his fixed expenses and variable expenses? brainly
What is 7/15+13/19+5/12 expressed as a fraction in lower terms
x -4 ifx>4
|
Rsm question
Answer:
x>4
d'ou: x-4>4-4
x-4>0 voilà bonnne journée
Step-by-step explanation:
George and Sarah were building a cone-shaped sand castle. after some time, the diameter of the sand shaped cone was 12 in. and the height was 14 in. what is the approximate volume of the sand cone rounded to the nearest hundreth? (show your work. remember you can draw a picture to help you solve the problem). label your answers with the correct units. use 3.14 to approximate pi answer:
they kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. what is the approximate volume of the sand cone now? label your answers with the correct units. (show your work) use 3.14 to approximate pi answer:
Answer:
why you delete my answer before question
Here is an expression 3/5 divided by 1/4 Which situation matches this expression?
Which situation matches this expression?
A: An athlete runs 3/5 kilometers in 4 minutes. At that rate, how many kilometers does the athlete run in 1 minute?
B: A teacher fills an empty white pitcher with 3/5 gallons of water and an empty blue pitcher with 1/4 gallon of water. How many more gallons of water are now in the white pitcher than in the blue pitcher?
C: Mr. Smith has 3/5 pounds of beans. He uses 1/4 pound of beans each week. At the rate, for how many weeks will beans last?
D: A worker cuts pieces of string that are each 3/5 yards in length. How many pieces of string can the worker cut from a piece of string that is 1/4 yard in length?
Answer:
C
Step-by-step explanation:
To find A you have to divide 3/5 by 4 so that would not work.
To find B you have to subtract 1/4 from 3/5 and that doesn't match the problem.
To find C you do divide 3/5 by 1/4 which matches the problem.
And lastly for D you would divide 1/4 by 3/5 which is the opposite of what the question is asking for.
The first term in a sequence is 84. The pattern follows the rule add 24. What are the next four terms?
Answer: 108, 132, 156, and 180
Step-by-step explanation:
If you need to add 24 to the first term for the next 4 terms, you would have
84 + 24 = 108
108 + 24 = 132
132 + 24 = 156
156 + 24 = 180
So your sequence would be 108, 132, 156, and 180 for the next 4 terms.
Which of the following are exact numbers? Select all that apply.
The liquid has a volume of 10.41 mL
The paper has a length of 5.2 cm.
There are 30 students in the class.
There are 100 cm in 1 m.
The exact numbers listed in this problem are given by:
There are 30 students in the class.There are 100 cm in 1 m.What are exact numbers?Exact numbers are numbers that are not rounded. Volumes and lengths, for example, are usually rounded, hence they cannot be called exact.
Thus, the exact numbers listed in this problem are given by:
There are 30 students in the class.There are 100 cm in 1 m.More can be learned about exact numbers at https://brainly.com/question/14089554
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answer: Statements 3, 4, 5
Step-by-step explanation:
Statement (3) is true because an interior angle and its exterior angle are supplementary.
Statement (4) is true by the exterior angle theorem.
Statement (5) because the sum of the angles of a triangle is 180 degrees.
Find the value of X
And tell whether the side lengths form a Pythagorean triple
Answer:
8 and yes
Step-by-step explanation:
c² - b² = a²
100 - 36 = a²
64 = a²
a = 8
the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.
Find the perimeter of the polygon with the vertices H(3, 2), I(5, 2), J(5, 7), K(3, 7).
Answer:
14
Step-by-step explanation:
2x((5-3)+(7-2)) = 14
PLEASE HELP ASAP
10. Mike and Pete together have $84.00. If Mike has $24.00,
what is the ratio of Pete's amount to Mike's amount?
Answer:
2.5
Step-by-step explanation:
Let M and P stand for the money that Mike(M) and Pete(P) have.
We discover that M + P = $84.00
We also find that M = $24.00
This means that :
M + P = $84.00
$24.00 + P = $84.00
P = $60.00
The ratio of P to M is ($60.00/$24.00) or 2.5 (P/M - 2.5)
what's the square root of the area of a square with side 13?
Area :-
[tex]\\ \rm\rightarrowtail side^2[/tex]
[tex]\\ \rm\rightarrowtail 13^2[/tex]
[tex]\\ \rm\rightarrowtail 169[/tex]
Square root:-
√169=13Hailey paid 40$ for a jacket whose regular price was 50$. What percent of the regular price did hailey pay?
Answer:
Step-by-step explanation:
Hailey paid 80% of the regular price.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have Hailey who paid 40$ for a jacket whose regular price was 50$.
Assume that she paid [x]% of the regular price.
Then, we can write -
40 = x% of 50
40 = (x/100) x 50
x = (4000/50)
x = 80%
Therefore, Hailey paid 80% of the regular price.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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Which property can be used to solve the equation?
5 d = 75
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer: Division Property of equality
Step-by-step explanation:
5d= 75
1. Isolate the variable and remember, if the number is next to the letter, it means to multiply.
2. Reverse PEMDAS so instead of multiplying, divide instead.
3. 75/ 5 equals 15.
d=15
Answer: d=. 15
Step-by-step explanation:
A pair of fair dice is cast. What is the probabiliy that one of the numbers falling uppermost is a 5, given that the two numbers falling uppermost are different?.
Using it's concept, it is found that there is a 0.3333 = 33.33% probability that one of the numbers falling uppermost is a 5.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The outcomes are given as follows:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
From the list, we have that:
There are 30 outcomes in which the numbers are different.In those, there are 10 in which one 5 appears.Hence, the probability is given by:
p = 10/30 = 0.3333 = 33.33%.
More can be learned about probabilities at https://brainly.com/question/14398287
Carley can mow the lawn in 5 hours. When Carley and her dad work together, they can do it in 2
hours. How long does it take Carley's dad to mow the lawn?
The time it will take Carley's dad to mow the lawn is 3.3 hours.
What is rate?Rate is the ratio between two related quantities in different units. Therefore,
The rate Carley do the lawn = 1 / 5
When they work together they do it the 1 / 2 rate.
Therefore,
let
the hours it takes Carley dad = x hours . Therefore,
1 / 5 + 1 / x = 1 / 2
x + 5/ 5x = 1 / 2
cross multiply
2(x + 5) = 5x
2x + 10 = 5x
10 = 5x - 2x
10 = 3x
x = 10 / 3
x = 3.3 hours
learn more on rate here: https://brainly.com/question/4598703
NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!
Rob goes to a store and buys a camera originally priced at $30. The store is running a discount of 18%. The sales tax rate is 7.4%. What is the final price of the camera?
pls help asap
Answer:
$26.42
Step-by-step explanation:
P = 30 * 0.82 * 1.074 = 26.42
Springsville runs a summer program for children at the park. The participants can choose from several activities throughout the day. The choices are shown in the table.
The answer is A. Springsville has several different activities.
State if each is a right triangle?
Answer:
yes
Step-by-step explanation:
because the hypotenus is the longest of all the other sizes
Given triangle ABC is congruent to DEC find m
First, we know that angle B is congruent to angle E.
2x + 40 = 5x + 10
2x + 30 = 5x
30 = 3x
x = 10
Angle B and Angle E = 60 degrees
Angle C = 14 degrees
Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.
60 + 14 + D = 180
74 + D = 180
D = 106
Angle D = 106 degrees
Hope this helps!
Answer:
Step-by-step explanation:
<E = <A property of congruency.
<A = 5x + 10 Comes from the fact that <A and <E are equal.
Three angles of the triangle are given. They add to 180 degrees.
2x + 40 + x + 4 + 5x + 10 = 180 Combine like terms
8x + 54 = 180 Subtract 54 from both sides.
8x + 54 - 54 = 180 - 54 Combine
8x = 126 Divide by 8
8x/8 = 126/8
x = 15.75
<B = <D Congruency and parallel lines
<D = 2x + 40 Substitute for x
<D = 2*15.75 + 40 Combine
<D = 31.5 + 40
<D = 71.5