Answer:
The maximum possible is 20 intersections.
Step-by-step explanation:
A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)
Answer:
Dimes = 35
Quarters = 14
Step-by-step explanation:
Let
quarters = q
Dimes = d
Total coins = 49
There are 2.5 times as many quarters as there are dimes in the bag
Dimes = 2.5q
Quarters + Dimes = Total
q + 2.5q = 49
3.5q = 49
q = 49/3.5
q = 14
d = 2.5q
= 2.5 * 14
= 35
d = 35
Therefore,
Dimes = 35
Quarters = 14
Answer:
The system of equations that models this equation area:
d + q = 49
q = 2.5d
Look at these two equations.
Is there an ordered pair that is a solution to BOTH of
these linear equations?
y=x+1
y=-x+ 5
Answer:
Yes,
Step-by-step explanation:
the solution to these equations can be the point of intersection, which in this case the point of intersection is (2,3)
Evelyn is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour tutoring. In a given week, she can work a maximum of 15 total hours and must earn no less than $200. If Evelyn worked 8 hours lifeguarding, determine the maximum number of whole hours tutoring that she can work and still meet her requirements. If there are no possible solutions, submit an empty answer.
Answer:
Evelyn can work a maximum of [tex]7[/tex] hours tutoring.
Step-by-step explanation:
Evelyn earns [tex]\$\: 18[/tex] per hour lifeguarding and she worked [tex]8[/tex] hours lifeguarding.
So, total money earned by lifeguarding [tex]=\$\: 18\times 8=\$\:144[/tex].
She must earn no less than [tex]\$\:200[/tex].
So, money left to earn [tex]=\$\: 200-\$\:144=\$\:56[/tex].
Evelyn worked [tex]8[/tex] hours lifeguarding. She can work a maximum of [tex]15[/tex] total hours. So, she can work [tex]15-8=7[/tex] hours.
Evelyn earns [tex]\$\: 11[/tex] per hour tutoring.
So, total money earned by tutoring [tex]=\$\: 11\times 7=\$\:77[/tex].
Therefore, the total money earned [tex]=\$ \:144+\$\:77=\$\:221[/tex].
Hence, Evelyn can work a maximum of [tex]7[/tex] hours tutoring.
Answer:
The answer would be 7 hours tutoring. :)
Step-by-step explanation:
Noah bought 15 baseball cards for $9. At this rate, what is the cost of 1 baseball card?
Answer:
$0.60
Step-by-step explanation:
9 divided by 15 = 0.6 so that would be $0.60, if you want to check if it's accurate then do 0.60x15 and you get 9
What is the recursive formula of the arithmetic sequence 0,11,22,33,
Answer:
f(1)=0
f(x+1)=f(x)+11
If g(x)= x^2 - 7x Find g(y-8)
Answer:
The answer is y² - 23y + 120.
Step-by-step explanation:
The steps to do :
g(x) = x² - 7x
g(y - 8) = (y - 8)² - 7(y - 8)
g(y - 8) = y² - 16x + 64 - 7y + 56
g(y - 8) = y² - 23y + 120
g(y-8) is equal to the quadratic expression y² - 23y + 120.
To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.
Replacing x with y-8, the function becomes:
g(y-8) = (y-8)² - 7(y-8)
To simplify, we expand and simplify the expression:
(y-8)² = (y-8)(y-8) = y² - 16y + 64
-7(y-8) = -7y + 56
Combining the terms, we have:
g(y-8) = y² - 16y + 64 - 7y + 56
Simplifying further:
g(y-8) = y² - 23y + 120
Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.
By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ6
O is the centre of the circle. AB is a diameter.
Calculate the values of a and b. Please help i cant understand it, i’ll give the brainliest for the person who answers correctly
Answer:
The value of a is 63° and the value of b is 27°
Step-by-step explanation:
In the given figure
∵ OA, OB, and OC are radii of the circle O
→ The radii of a circle are equal
∴ OA = OB = OC
In Δ AOC
∵ OA = OC
∴ Δ AOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OAC and ∠OCA are the base angles of the triangle
∴ m∠OAC = m∠OCA
∵ m∠OAC = a°
∴ m∠OCA = a°
→ The sum of angles in any triangle is 180°
∵ a° + a° + m∠AOC = 180°
∵ m∠AOC = 54°
∴ a° + a° + 54 = 180°
→ Add the like terms
∴ 2a° + 54 = 180°
→ Subtract 54 from both sides
∴ 2a° = 126°
→ Divide both sides by 2
∵ m∠OAC = m∠OCA = 126 ÷ 2
∴ a° = 63
∴ The value of a is 63°
In ΔBOC
∵ OB = OC
∴ Δ BOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OBC and ∠OCB are the base angles of the triangle
∴ m∠OBC = m∠OCB
∵ m∠OBC = b°
∴ m∠OCB = b°
∵ ∠AOC is an exterior angle of ΔBOC at the vertex O
→ The measure of the exterior angle equals the sum of the measure
of the opposite interior angles to this vertex
∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC
∴ m∠OBC + m∠OCB = m∠AOC
→ Substitute their measures
∵ b° + b° = 54°
→ Add the like terms
∴ 2b° = 54
→ Divide both sides by 2
∴ b° = 27
∴ The value of b is 27°
I am painting my wall that measures 32 feet by 9 feet. If a gallon of paint covers 150 sq. ft, how many gallons will I need to paint my wall?
Answer:
2
Step-by-step explanation:
To find out how big the wall is you do 32 times 9 which equals 288.
2 gallons of paint covers 300 feet. You will have left over but that is ok.
Evan ran for 28 minutes. Seth ran for 'y' minutes. Evan ran twice as long as Seth. How long did Seth run?
A 28 minutes
B 56 minutes
C 14 minutes
D 30 minutes
Answer:
14 just divide 28 ÷ 2.....
An investor bought a number of shares of stock for $1600 after Priess dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Answer:
She originally bought either 20 or 32 shares
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Let the number of shares she bought be represented by 1600/x
This is calculated as:
1600/x = 1120/x + 10 + 4
Multiply through by (x)(x - 10)
1600(x-10) = 1120(x) + 4(x)(x - 10)
1600x - 16000 = 1120x + 4x² - 40x
Collect like terms
4x² + 1120x - 1600x - 40x +16000 = 0
4x² - 520x + 16000 = 0
Using the Almighty formula method
= -b ± √b²- 4ac/2a
a = 4, b = -520 , c = 16,000
Hence:
= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4
= 520 ± √14400/8
= 520 ± 120/8
520 - 120/8
= 400/8
= 50
520 ± 120/8
= 520 + 120/8
= 640/8
= 80
Since we have:
1600/x
When x = 50
= 1600/50
= 32
When x = 80
= 1600/80
= 20
Therefore, she originally bought either 20 or 32 shares
PLEASE I BEG OF YOU PLEASE HELP ME PLEASEE
Answer:
hmmm this is too hard for me.
Step-by-step explanation:
A faucet fills 1/3 of a water cooler in 1/12 of an hour At this rate how long does it take the faucet to fill the cooler completely
Answer:
[tex]\frac{1}{4}\:\mathrm{of\:an\:hour\: or\:}15\:\mathrm{minutes}[/tex]
Step-by-step explanation:
If the faucet fills [tex]\frac{1}{3}[/tex] of the water cooler in [tex]\frac{1}{12}[/tex] of an hour, then it will take the faucet [tex]\frac{1}{\frac{1}{3}}\cdot \frac{1}{12}=3\cdot\frac{1}{12}=\fbox{$\frac{1}{4}$}[/tex] of an hour to fill the faucet completely.
pls help no need for long explanations just a quick summary
Step-by-step explanation:
Angle FAB = Angle BHC = 48° (Z-angles)
By Exterior Angle Theorem,
Angle ABC = Angle BHC + Angle ECB.
=> Angle ABC = 48° + 18° = 66°.
The equation of the line graphed below could be which of the following?
Please help ASAP
Answer:
4.
Step-by-step explanation:
First, you have to decide whether the slope is negative or positive. Since the line is going diagonally upward, it is positive.
That means the answer has to be either 3 or 4.
Next, you have to decide whether the y-intercept is negative or positive, on the graph, you can see that it is positive.
Answer choice 4 is the only equation where both the slope and the y-intercept are positive, so it is the answer.
I need help with this
Help please: I'll give you kool aid if you do
Answer:
Its a scammmmmm
Step-by-step explanation:
Answer:
Step-by-step explanation:
help me pleaseeeeeeee
© ABCD is a rectangle with sides 6 cm and
8 cm. If its diagonals cross at X, the length
of AX is
Answer:
10
Step-by-step explanation:
If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm
The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.
Hence,
Hypotenus = sqrt (opposite² + adjacent²)
AX = sqrt[(8²) + (6²)]
AX = sqrt(64 + 36)
AX = sqrt(100)
AX = 10
if the tire pressure gauge is showing the reading 8% higher, the what is the actual pressure if the reading is 39.42?
Answer:
The actual pressure is 36.50
Step-by-step explanation:
Given that:
Tire pressure reading = 8% higher
Reading = 39.42
As 100% will be the actual reading.
New reading = (100+8)% = 108%
Let,
x be the actual pressure of the tire
108% of x = 39.42
[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]
Dividing both sides by 1.08
[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]
Hence,
The actual pressure is 36.50
solve 4x^2 - 3 = 3x^2 + 13 by using square roots
Answer:
x = - 4, x = 4
Step-by-step explanation:
[tex]4x^2 - 3 = 3x^2 + 13 \\ \\ 4x^2 - 3 - 3x^2 - 13 = 0 \\ \\ 4 {x}^{2} - 3 {x}^{2} - 16 = 0 \\ \\ {x}^{2} - 16 = 0 \\ \\ {x}^{2} - {(4)}^{2} = 0 \\ \\ (x + 4)(x - 4) = 0 \\ \\ x + 4 = 0 \: \: or \: \: x - 4 = 0 \\ \\ x = - 4 \: \: or \: \: x = 4 \\ \\ x = - 4, \: \: 4[/tex]
x+x+x+x and 4x`
5x and x+ 5
A plane started on the ground at ground level near the ocean. Upon taking off it climbed 9000 meters and leveled off. At the same time a submarine left from the same shoreline. It dove 250 meters down into the ocean. How many meters are there between the plane and the submarine.
(Integers / Dividing )
Answer:
Step-by-step explanation:
you just add 9000 to 250 which is equals to 9250 the clue was at the very bottom. "How many meters are there between the plane AND the submarine" 'and' is automatically addition.
What is the product of 3 x 5? Is the answer positive or negative?
Answer:
The product is 15. The answer is positive.
Step-by-step explanation:
The product of two numbers is the two numbers multiplied together. When two positive numbers are multiplied, the answer would be positive.
3 × 5 = 15
What is....
-5a = -0.2
Answer:
0.04
Step-by-step explanation:
16 cm
20 cm
15 cm
20 cm
find the volume of the prism
Answer:
267.
Step-by-step explanation:
Please help I don’t get it I will mark brainleist
Answer:
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.
Step-by-step explanation:
bro trust me
8th Grade Math Homework Thursday, January 28th
Simplify. Combine like terms.
1. 12y - 18y
2. 4(y + 5)
3. 3x + 6y - 9x + 4
4. 6(x - 9) + 10 - 3x
5. Is 4 a solution of 5(2 - x) = -10? Show work to justify your answer.
Solve and check the following equations. Show all steps.
6. 4x + 20 = 0
7. 5x - 3 = 2x - 27
8. 6x - 8 = 2x + 16
9. 12 - 3x = 22 + 2x
10. x + 7x - 12 = -20
11. 7x+4 - 13x = -1 + 23
Graph the system of linear inequalities.
y > 3x + 2
y ≤ 3x − 4
[tex]y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }[/tex]
Sorry that's all i know
that is in my answer#carryonlearning:-DFind the unknown side length. Write your answer in simplest radical form.
Answer: 1. x= 20 units, 2. x= [tex]5\sqrt{3}[/tex] units 3. x= [tex]4\sqrt{2}[/tex] units.
Step-by-step explanation:
In a right triangle,
[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex] (Pythagoras theorem)
1. Hypotenuse = x , Base = 16, Perpendicular = 12
[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]
2. Hypotenuse = 14 , Base = 11, Perpendicular = x
[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]
3. Hypotenuse = 9 , Base = x, Perpendicular =7
[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]
Not to great at angles! Someone help plz
Answer:
6) A
7) A
8) I can't see which angle is A
9) 70
10)45
Step-by-step explanation: