Answer:
D
Step-by-step explanation:
Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D
y=-3x + 6
y = 9
What is the solution to the systems of equations
Answer:
-1,9
Step-by-step explanation:
You use the equal values method to combine the two equations
-3x+6=9
then subtract 6 on both sides of the equal sign
nine minus six is 3
-3x=3
divide negative three on both sides to isolate the x value
to get....
x=-1
then plug the x value back in to find the y value
(you can plug in to one of them but I would plug into both of them just for double checking) ALWAYS CHECK YOUR WORK
3+6 is 9
9=9 check!
Answer:C -(-1,9)
Step-by-step explanation:
If AB = 3x + 5, BC = 2x + 8, and AC = 88, what is the value of x?
Answer:
x = 15
Step-by-step explanation:
AB + BC = AB
3x+5 + 2x+8 = 88
Combine like terms
5x +13 = 88
Subtract 13 from each side
5x+13-13 = 88-13
5x = 75
Divide each side by 5
5x/5 = 75/5
x = 15
Answer:
15
Step-by-step explanation:
AB + BC = AB
3x + 5 + 2x + 8 = 88
5x + 13 = 88
5x = 88 - 13
= 75/5
= 15
Hope this helps!
Morgan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually. How much will Morgan have in the account after 5 years if $7,000 is deposited today?
Answer:
He'll have approximately $8723.3 on his account in five years.
Step-by-step explanation:
Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:
[tex]M = C*(1 + r)^t[/tex]
Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:
[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]
He'll have approximately $8723.3 on his account in five years.
The volume of a cuboid is 360cm3. The length is 3cm and the width is 80mm. Work out the height of the cuboid in cm.
Answer:
[tex]15\:cm[/tex]
Step-by-step explanation:
Use the formula for the volume of a cuboid.
[tex]V=lwh[/tex]
[tex]80\:mm=8\:cm[/tex]
[tex]360=3 \times 8 \times h[/tex]
[tex]360=24 \times h[/tex]
[tex]360 \div 24 = h[/tex]
[tex]15=h[/tex]
The height of the cuboid 15 cm.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
The volume of a cuboid is 360cm3.
The length is 3cm and the width is 80mm.
now,
80mm=8cm
volume= l*w* h
i.e. 360 = 3* 8*h
so, h= 15
Hence, The height of the cuboid 15 cm.
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what is log 8/3 base 5
Answer:
3 to the power of 8 / 5
Step-by-step explanation:
melissa is driving along a highway at a constant soeed of 65 mph. how long does it take her to travel 90 miles?
Answer:
1.4 hours or 83 minutes
Step-by-step explanation:
90 mi / 65 mph = 1.4 hr
Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.
What is the speed?Speed is the rate of distance covered in a particular time.
It is equal to distance/time
How to calculate time?We know that speed=distance/time
so the time will be =90/65
which will be equal to1.44 hour
Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.
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What is the probability of getting tails when you flip a coin?
Answer: We conclude that the probability to flip a head is 1/2, and the probability to flip a tail is 1/2.
Please help me simplify these expressions
Answer:
32•z^4•s^7
20w^9
Step-by-step explanation:
We simply use the multiplication law of indices to work these out.
1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7
2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9
I need help with this question, Please
Answer:
42
Step-by-step explanation:
Just use Pythagoras theorem
Un padre para estimular a su hijo para estudiar matemáticas le dice: por cada ejercicio que resuelvas bien te daré 7 € y por cada uno que hagas mal me darás 1 €. Después de hacer 45 ejercicios, el muchacho se encuentra con 19 €. ¿Cuántos ejercicios ha resuelto bien?
Answer:
8 ejercicios
Step-by-step explanation:
De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:
x+y= 45 (1)
7x-1y= 19 (2)
x= ejercicios que resolvió bien
y= ejercicios que resolvió mal
Primero, puedes despejar x en (1):
x= 45-y (3)
Segundo, debes reemplazar (3) en (2):
7(45-y)-1y=19
315-7y-1y= 19
315-8y= 19
315-19= 8y
296= 8y
y= 296/8
y= 37
Tercero, debes reemplazar el valor de y en (3) para encontrar x:
x= 45-37
x= 8
De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.
Which inequality represents all values of x for which the product below is defined? √ x-4•√ x+1 a. x ≥ -1 b. x ≥ 4 c. x ≥ 0 d. x ≤ 4
The inequality that represents all x values is [tex]x \ge 4[/tex]
The expression is given as:
[tex]\sqrt{x - 4} \cdot \sqrt{x + 1}[/tex]
Set the radicands to >=0
[tex]x - 4 \ge 0[/tex] or [tex]x + 1 \ge 0[/tex]
Solve for x in both inequalities
[tex]x \ge 4[/tex] or [tex]x \ge -1[/tex]
When [tex]x \ge -1[/tex], the first radicand is irrational from some x values
Hence, the inequality that represents all x values is [tex]x \ge 4[/tex]
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Sierra is driving to visit her family. She wants to drive at least 500 miles today. She has already driven 248 miles and will keep driving at a constant speed of 62 miles per hour. What number of hours can Sierra drive to meet her goal of at least 500 miles? 500 ≤ 248 + 62x Both need different answers please
Answer:
4.06451 hours
note this answer is not rounded as you did not indicate round to what decimal values.
Step-by-step explanation:
Solving using equation
500 ≤ 248 + 62x
500-248 ≤ 62x
252 ≤ 62x
252/62 ≤ x
4.06451 ≤ x
Another way to solve
500-248= 252
she needs to travel 252 miles
speed = 62mph
note: speed = distance/time
therefore time= distance/speed
time = 252/62 = 4.06451
Number of hours Sierra needs to travel to meet her goal is 4.065 hours.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Sierra wants to drive at least 500 miles today.
She has already driven 248 miles.
Remaining distance is driving at a constant speed of 62 miles per hour.
Let the time needed for the remaining distance to complete is x.
Speed = Distance / Time
Distance = Speed × Time
Distance = 62x
Total distance covered = 248 + 62x
This must be at least 500.
248 + 62x ≥ 500
62x ≥ 500 - 248
62x ≥ 252
x ≥ 252 / 62
x ≥ 4.065
Hence Sierra has to drive at least 4.065 hours to meet her goal.
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whats 700 divided by 178
Answer:
3.93258426966
Step-by-step explanation:
To 1 d.p = 3.9
Answer:
≈3.9 (3.932584269662921...)
OR
3 R 166
OR
[tex]3\frac{83}{350}[/tex]
Step-by-step explanation:
700÷178=3.932584269662921
700÷178=3 R 166
700÷178=
[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]
If you wanted it in decimal form, the decimal would be infinite.
If you wanted it with a remainder, it's 3 R 166
If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]
A bag contains purple marbles and blue marbles, 38 in total. The number of purple marbles is 5 more than 2 times the number of blue marbles. How many purple marbles are there?
Answer:
27 purple marbles
Step-by-step explanation:
purple marbles- pblue marbles- bEquations based on the given:
p= 2b +5 and p+b= 38
2b+5+b= 38 ⇒ 3b+5= 38 ⇒ 3b= 33 ⇒ b= 11p= 38-11= 27Fully Factorise 5p^2 + 13p
Answer:
The answer is p(5p+13).
Step-by-step explanation:
You have to take out the common factors :
[tex]5 {p}^{2} + 13p[/tex]
[tex] = p(5p + 13)[/tex]
Therefore, the factorisation stop here. As 5 and 13 are not common to each other.
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thnk me...
What is the domain of this function?
Answer:
Step-by-step explanation:
The closed dot at (0, 9) indicates that that's where the graph begins. The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as
{x | x ≥ 0}
A shirt originally cost $49.31, but it is on sale for $41.91. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.
Answer:
8%
Step-by-step explanation:
The Cost price is = 49.31
The Selling price is = 41.91
The profit is =-7.4
The percentage decrease of the price of the shirt is hence=
=41.31/49.31 * 100
= 8%
Hence, 8% is the percentage of the decrease of the price of the shirt.
What is the value of x? Round to the nearest tenth and show your work
Answer: A. mark as brainliest
Step-by-step explanation: dont need to
In ΔRST, the measure of ∠T=90°, ST = 44 feet, and TR = 84 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
[tex]27.6^\circ[/tex]
Step-by-step explanation:
Given:
A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]
ST = 44 feet
TR = 84 feet
To find:
[tex]\angle R = ?[/tex]
Solution:
Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.
Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].
We know that formula for tangent of angle [tex]\theta[/tex] is given as:
[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
Here, Perpendicular for [tex]\angle R[/tex] is side ST and
Base is side TR.
Putting the values in above tangent formula:
[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]
Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.
Answer:
66.1
Step-by-step explanation:
Solve it by factorisation method
Answer:
Hope it helped you.
Step-by-step explanation:
It was hard to type on a keyboard so I did it somewhere else...
Which expression is equal to the expression below?
(7•2)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.
What is 1/7 x 140 ( Multiplying fractions by whole numbers using tape diagrams)
Answer:
20
Step-by-step explanation:
20 is your answer
Show me da way to the answer. Find the endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (6,−5) Midpoint: (6,2)
I have been trying to find this for awhil: Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (0,2) Midpoint: (4,5)
Answer:
8.8
Step-by-step explanation:
4.5-0.2=4.3
The difference is 4.3 add 4.3 to 4.5=8.8
whoever gets done faster wins
Answer:
2%
Step-by-step explanation:
Solution
0.02*100%
=2%
hope it helps...
Good luck on your assignment
at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
About $5.33
Step-by-step explanation:
If u want to find out How many dollars per hour u do 48 divided by 9
Hope this helps
HELP ASAP!!
What is the surface area of a CUBE where the length of each edge is 4 feet?
A) 12 feet
B) 24 feet
C) 64 feet
D) 96 feet
Answer:
96
Step-by-step explanation:
Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.
Geometric mean is used to determine the scale of objects.
False
True
Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue to make fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?
A.
fluid ounce
B.
fluid ounce
C.
fluid ounce
D.
fluid ounces
Answer: the correct answer will be 27/31
Step-by-step explanation:
how many speak spanish only?
how many does not speak any if the languages?
Answer:
52 people
Step-by-step explanation: