Answer:
8=4x+5
Step-by-step explanation:
Slope-intercept form: y=mx+b
1. Identify your terms:
x: 4
y:8
b/slope: 5
2. Solution:
8=4x+5
Which of the following is the equation in slope-intercept form for the line that passes through the points (-2, 4) and (2.0) ?
O y = x + 2
O y = x-2
O y = -x + 2
Answer:
y = -x + 2
Step-by-step explanation:
Find the slope with rise over run:
(y2 - y1) / (x2 - x1)
(0 - 4) / (2 + 2)
-4 / 4
= -1
Find the y intercept by plugging in the slope and a point:
y = mx + b
4 = -1(-2) + b
4 = 2 + b
2 = b
Plug in the slope and y intercept:
y = -x + 2
So, the correct answer is y = -x + 2
bc
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help
Answer:
B)
Step-by-step explanation:
Because it says that Alex wants to spend exactly $30 so you want to have 30 as the total ( = 30 )
and it says 18 plus, you only add 18 one time ( 18 + )
and then it says 0.12 per mile, so you need to do something times 0.12 + 18 and get exactly 30. so you do ( 0.12x ) in this case we're not solving it we're just doing the equation so it's just 0.12x instead of a specific number
Put it all together and you get 18 + 0.12x = 30
Hope this helps dude
An infeasible problem is one for which ________________________ Group of answer choices the objective is maximized or minimized by more than one combination of decision variables. there is no solution that simultaneously satisfies all the constraints. the Allowable Increase or Allowable Decrease values for changing cells are zero. there is exactly one solution that will results in the maximum or minimum objective.
Answer:
there is no solution that simultaneously satisfies all the constraints.
Step-by-step explanation:
An infeasible problem is one for which there is no solution that simultaneously satisfies all the constraints.
In linear programming, when a linear problem or program has no solution that simultaneously satisfies all the constraints i.e no feasible solution can be generated or gotten, then, the problem is said to be an infeasible problem. This ultimately implies that, an infeasible problem is one that does not have an optimal solution for all of its constraints (linear and non-linear constraints).
For example, when the demand requirement in a manufacturing plant or industry is much greater than its available capacity this will result into an infeasible problem. Also, when various functional managers in different departments in an organization have varying degree of requirements because there won't be an optimal solution.
Five more than three times a number is 131. Find the number.
12 points!! PLEASE
y =(x-3) - 4
rewrite these in standard and factored form!!
Standard form:
x - y = 7
Factored form:
y = x - 7
Answer:
y = x - 3 - 4
y = x - 7
(x - 7 = y)
(x = y + 7)
Step-by-step explanation:
Hope you got it.
what additional information could be used to prove ABC MQR using SAS?
Answer:
To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.
From the diagram, it is shown that CA is congruent to RM.
From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).
This shows that the first option is correct.
From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.
Thus the second option in not correct.
From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.
Thus the third option is not correct.
From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.
Thus the fourth option is not correct.
From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.
Thus, the fifth option is not correct.
Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm
The additional information could be used to prove ABC≅MQR using SAS will be m∠R = 60° and AB≅MQ. Option D is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
The conditions for ABC≅MQR are;
m∠R = 60°
AB≅MQ
Using the new data, it is possible to demonstrate that m∠R = 60° and AB is equal to the MQ will result in ABC≅MQR using SAS.
Hence option D is correct.
To learn more about the congruent triangle refer;
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What does x, and y equal
Answer:
x = 1.25
y = 1.75
Step-by-step explanation:
Since, the line that is 8 units long is parallel to the line that is ten units long.
Therefore, both the triangles are similar by AA postulate.
Corresponding sides of of the similar triangles are in proportion.
Therefore,
[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]
PLEASE HELP ME THIS IS URGENT!! THIS IS ACC MATHEMATICS!! Please I need to turn this in
Which of the following statement is TRUE?
A. THE ONLY FACTORS OF 9 ARE 1 AND 9
B. THE ONLY FACTORS OF 10 ARE 1,2 AND 10
C.THE ONLY FACTORS OF 11 ARE 1 AND 11
D.THE ONLY FACTORS OF 12 ARE 1,2,6, AND 12.
PLEASE HELP!!!!!!!
Answer:
C.
Step-by-step explanation:
11 is a prime number, meaning that its only factors are 1 and itself.
Answer:
c
Step-by-step explanation:
9 10 11 12
1,9 1,10 1,11 1,12
3,3 2,5 2,6
3,4
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank
so that he knows how much paint to purchase. What is the surface area of the tank, rounded to the nearest whole number?
Answer:
7069.5 ft^2
Step-by-step explanation:
Step one:
given data
dimension
radius of 15 feet
height of 60 feet
Required
The surface area of the tank
Step two:
[tex]A=2 \pi rh+2 \pi r^2[/tex]
substitute
[tex]A= 2*3.142*15*60+2*3.142*15^2\\\\A=5655.6+1413.9\\\\A=7069.5[/tex]
A= 7069.5 ft^2
Answer:
7069.5 ft^2
I took the test and got a 100
madison's family drove to her grandmothers' house. they drove 58.6 miles in the first hour, 67.2 miles in the second hour, and 60.5 miles in the third hour they followed the same routine to return home. about how much far did madison's family travel?
Answer:
add the 3 distances
Step-by-step explanation:
58.6 +67.2 + 60.5 = ( use a calculator ) = 186.3
The GOAL of any equation is to get the?................
by itself on one side of
the equation.
What is the greatest common factor of 36, 90 and 108?
Answer:
The one greatest common factor of 36, 90, 108 is 18.
Step-by-step explanation:
If it takes 3 gallons of gas to go 60 miles, how many gallons of gas does it take to go 440 miles at the same rate?
Answer:
it would take 22 gallons of gas
Step-by-step explanation:
3 divided by 60
that’s the amount of gas per single mile
then that number times 440 (number of miles you wish to go).
(MARKING BRAINLIEST) 100 points
Answer: 1) $0.76 per serving of pumpkin pie
2) 64 people
3)
1 1/3 cup sweet potatos
2 tablespoons + 2 teaspoons of white sugar
1 egg
1/4 teaspoon of salt
2 tablespoons of butter
2 tablespoons + 2 teaspoons of milk
1/4 teaspoon of vanillia
2 tablespoons + 2 teaspoons of brown sugar
1 tablespoon + 2 1/3 teaspoons flour
2 tablespoons + 2 teaspoons of peacans
Step-by-step explanation:
1) the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075
if we cut 8 servings per pie, then the cost per serving = total cost of the pie/number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie
2) 1lb=16oz
24/6=4
4x16=64
Answer:
0.76 per serving of pumpkin pie
2) 64 people
Step-by-step explanation:
Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?
Answer:
10 days
Step-by-step explanation:
Write an equation where both sides equal the same thing, using x as the variable for the amount of days
100-3x=20+5x
100-20=3x+5x
80=8x
x=10
which triangle could be drawn as is it described
Answer:
you didnt add the attachment
2 3/4 as an improper fraction
Help thank you to who ever does I will mark brainliest.
Answer:
V = 200.96 units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 4 and the height is 12
V = 1/3 ( 3.14 ) ( 4)^2 * 12
V = 200.96 units ^3
ANSWER: 200.96 units
please!
If the sixth term in a geometric sequence is 1/625, and the common ratio is 1/5, find the explicit formula of the sequence.
Question 21 options:
an=(15)n−1for n ≥ 1
an=(5)⋅(15)n−1for n ≥ 2
an=(1)⋅(15)n−1for n ≥ 2
an=(5)⋅(15)n−1for n ≥ 1
Answer:
aₙ = 5*(1/5)^(n - 1)
Step-by-step explanation:
The recursive relation for a geometric sequence is:
aₙ = aₙ₋₁*R
where R is the common ratio.
We could write this in a general form as:
aₙ = a₁*(R)^(n - 1)
where a₁ is the first term of the sequence.
In this case we know that:
R = 1/5
And that:
a₆ = 1/625
Then we can replace these values in the above relation to get:
a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)
1/625 = a1*(1/3125)
(3125/625) = a1 = 5
Then the formula will be:
aₙ = 5*(1/5)^(n - 1)
Can two fraction with the same numerator and different denominators be equal? Use words and numbers to explain.
Step-by-step explanation:
Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.
The two fractions with the same numerator and different denominators can not be equal.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A division number is a number that addresses the piece of the entire, where the entire can be any number. It is a numerator and a denominator.
The fraction is in the form of a numerator and denominator. The two fractions can be equal if and only if their numerator and denominator are equal.
The two divisions with similar numerators and various denominators can not be equivalent.
More about the Algebra link is given below.
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If Tim has 2/3 pizza to share with 6 friends how much does he friend get
Answer:
Each friend gets 1/9th of the pizza.
Step-by-step explanation:
Assuming Tim does not have any pizza, you would multiply 2/3 by 3 to get 6/9. 6/9 divided by 6 is 1/9.
ANSWER ASAP ITS FOR FINALS
Name Geometry B Final ID: 1 Date Period Name the relationship: complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior, 1) 2) the 3) 4) # Find the measure of angle b 6) 5)
Answer:
9. 66°
10. 44°
11. [tex]2\sqrt{7}[/tex]
12. [tex]2\sqrt{3}[/tex]
13. 27.3
14. 33.9
15. 22°
16. 24°
Step-by-step explanation:
9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:
120 + 80 = 200
360 - 200 = 160
12(5) + 6 = 66°
19(5) - 1 = 94°
94 + 66 = 160
10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:
68 x 2 = 136
180 - 136 = 44
11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a = [tex]\sqrt{28}[/tex]
a = [tex]2\sqrt{7}[/tex]
12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:
a² + b² = c²
a² + 2² = 4²
a² + 4 = 16
a² = 12
a = [tex]\sqrt{12}[/tex]
a = [tex]2\sqrt{3}[/tex]
13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:
Sin(47°) = [tex]\frac{20}{x}[/tex]
x = 27.3
14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:
Tan(62°) = [tex]\frac{x}{18}[/tex]
x = 33.9
15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:
cos(θ) = 52/56
θ = cos^-1 (0.93)
θ = 22°
16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:
sin(θ) = 4/10
θ = sin^-1 (0.4)
θ = 24°
Good luck!!
Which equation should you solve to find x?
Answer:
B
Step-by-step explanation:
[tex]sin ~26^\circ=\frac{x}{10}[/tex]
Answer:
sin 26 = x/10
Step-by-step explanation:
Triangle PQR is rotated 180 clockwise about point m and the image of point p is p and the image of point r is r what are the coordinates of the image of point Q
Answer:
Rotating 180 clockwise would mean that Q is Q if r is r, the coordinates of it pointing to Q would be in your picture , can I see a picture of the problem?
Step-by-step explanation:
Devon is building a shed and ordered lumber from a local shop. When the lumber was delivered it was placed in a 24 inch high stack. If each board is
1 1/2
inches thick, how many boards are stacked up?
NEED HELP ASAP:)
16 cause 24 divided by 1 1/2= 16
1. Display the data in a matrix A with rows indicating years. What is element a 14?
Answer:
LOL i don't even know
Step-by-step explanation:
Answer:
63
Step-by-step explanation you just killed my brainmeats
Solve for m
18 - 4m = 6 - 16m
Answer:
m = -1
Step-by-step explanation:
18 - 4m = 6 - 16m
18 - 6 = 4m - 16m
12 = -12m
m = 12 / -12
m = -1
You want to buy 4 pencils, each costing 88 cents. How many dollar bills should you take to the store?
Answer:
4
Step-by-step explanation:
Answer:
$4
Step-by-step explanation:
0.88x4 = 3.52
so take 4
Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?
Answer:
Asafa ran at a faster rateStep-by-step explanation:
Asafa's speed:
0.75 km/ 6 min = 750 m/ 6 min = 125 m/minJemaine's speed:
3000 m / 30 min = 100 m/minAsafa ran at faster rate as 125 m/min > 100 m/min