Answer:
x=64
y=54
Step-by-step explanation:
3x+4y=24 4(24-4y\3)+3y=22
x=24-4y/3 96-12y\3+3y=22
x=24-4(54)/3
x=-64 96/3-22=3y/3
y=54
Tom has a fair six-sided spinner. he spins it three times. the probability that the spinner will land on white is
1/6.
calculate the probability that the spinner will land on white for all three spins.
The probability that the spinner will land on white for all three spins is 1/216
How to determine the probability?The probability is given as:
P(White) = 1/6
The event that the spinner lands on white all three times is:
White White White
The probability is then represented as:
P = P(White)^3
So, we have:
P = (1/6)^3
Evaluate
P =1/216
Hence, the probability that the spinner will land on white for all three spins is 1/216
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In (x, y), if x is _____________, then (x, y) lies either in the 2nd quadrant or in the 3rd quadrant.
Negative
there are four quadrant in the coordinate plan systemvalues of X and y 1st quadrant - ++ 2nd - - + third - - fourth + -here is an illustration of a bedroom. the striped wall and the floor intersect at a
30 POINTS AND BRAINLIEST PLS HELPP - Vanessa's bedroom floor is a rectangle 3m wide and 5m long. She chooses a new carpet that costs £20 per m squared. How much does the carpet cost??
Answer:
Carpet costs = 300£
Step-by-step explanation:
• First calculate the area of the floor:
Area of floor = length x width
= 5m² x 3m²
= 15m²
• As one m² of carpet costs £20, 15m² of carpet costs:
15 x 20
= 300£
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°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:
In the given Triangle problem, the three options are:
1. m∠5 + m∠6 = 180°
2. ∠2+ ∠3 = ∠6
3. m∠2 + m∠3 + m∠5 = 180°
Step-by-step explanation:
Concept: Consider Δ ABC with Exterior angles ∠1, ∠4 and ∠6.
Use the Exterior angle Property of Triangle which says that an exterior angle of a triangle is equal to the sum of the opposite interior angles.
For Exterior angle ∠1 we have:
∠1 = ∠5 + ∠3
Similarly, for Exterior ∠4 we have:
∠4 = ∠5 + ∠2
Similarly, for Exterior ∠6 we have:
∠6 = ∠2 + ∠3
Now, use the Triangle Sum Property which states that in a triangle sum of the measures of angles is equal to 180°
m∠2 + m∠3 + m∠5 = 180°
Linear Pair:
The measure of a straight angle is 180°, so a linear pair of angles must add up to 180°.
m∠5 + m∠6 = 180°
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measurements are made on a raingauge at
Step-by-step explanation:
Most standard rain gauges have a wide funnel leading into the cylinder and are calibrated so that one-tenth of an inch of rain measures one inch when it collects inside.
In the cafeteria, 100 milk cartons were put out for breakfast. At the end of breakfast, 27 remained.
a. What is the ratio of the number of milk cartons taken to the total number of milk cartons?
b. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?
Answer:
a. 73:100
b. 27:73
Step-by-step explanation:
total: 100
number remaining: 27
number taken: 100 - 27 = 73
a. taken:total = 73:100
b. remaining:taken = 27:73
#a
total milk cartons used=100-27=73
Total=100So the ratio is
73:100#b
It's already mentioned in question
The ratio is 27:73Solve.
2/3x +5/6 = 3 1/3
Enter your answer as a mixed number in simplest form in the box.
Answer:
[tex]x=\frac{15}{4}=3\frac{3}{4}[/tex]
Equation:
[tex]\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}[/tex]
Step-by-step solutionLinear equations with one unknown_____________________________________
1. Group all constants on the right side of the equation
[tex]\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}[/tex]
Subtract [tex]5/6[/tex] from both sides:
[tex]\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Combine the fractions:
[tex]\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Combine the numerators:
[tex]\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Reduce the zero numerator:
[tex]\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}[/tex]
Simplify the arithmetic:
[tex]\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}[/tex]
Find the lowest common denominator:
[tex]\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}[/tex]
Multiply the denominators:
[tex]\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}[/tex]
Multiply the numerators:
[tex]\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}[/tex]
Combine the fractions:
[tex]\frac{2}{3}\cdot x=\frac{20-5}{6}[/tex]
Combine the numerators:
[tex]\frac{2}{3}\cdot x=\frac{15}{6}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}[/tex]
Factor out and cancel the greatest common factor:
[tex]\frac{2}{3}\cdot x=\frac{5}{2}[/tex]
2. Isolate the x
[tex]\frac{2}{3}\cdot x=\frac{5}{2}[/tex]
Multiply both sides by inverse fraction 3/2:
[tex]\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Group like terms:
[tex]\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Simplify the fraction:
[tex]x=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Multiply the fractions:
[tex]x=\frac{5\cdot 3}{2\cdot 2}[/tex]
Simplify the arithmetic:
[tex]x=\frac{15}{2\cdot 2}[/tex]
Simplify the arithmetic:
[tex]x=\frac{15}{4}[/tex]
______________________
Why learn this
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
__________________________
Terms and topics
Linear equations with one unknownAnswer: 3 3/4
Step-by-step explanation: i took the test (sorrry i cant tell why, im bad at explaining)
i need help with my math :( im horrable with it i cant do divideing fractions nor multiply and i dont know most of my multiples can anyone help im going into 7th
Step-by-step explanation:
To multiply the fractions, like
[tex] \frac{1}{4} \times \frac{1}{9} [/tex]
Multiply the top,
then multiply the bottom.
[tex] \frac{1}{4} \times \frac{1}{9} = \frac{1 \times 1}{4 \times 9} = \frac{1}{36} [/tex]
Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.
To divide fractions, like
[tex] \frac{ \frac{1}{5} }{ \frac{1}{8} } [/tex]
You take the top number,
[tex] \frac{1}{5} [/tex]
Then you flip the bottom number,
[tex] \frac{8}{1} [/tex]
Then multiply the two
[tex] \frac{1}{5} \times \frac{8}{1} = \frac{8}{5} [/tex]
And that is your answer. Comment if you need more clarification
Which set of graphs can be used to find the solution set to 3e* > >-x?
The attached graph represents the solution set of [tex]3e^x > \frac 12^x[/tex]
How to determine the graph?The complete options are not given.
So, I would plot the graph that represents the solution set
The inequality is given as:
[tex]3e^x > \frac 12^x[/tex]
Start by splitting the inequalities as follows:
[tex]f(x) > 3e^x[/tex]
[tex]g(x) > \frac 12^x[/tex]
The above means that we plot the graphs of f(x) and g(x) to represent the solution set
See attachment
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The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
The complete question is
"The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
a. The domain of this function represents the total cost for a job
b. H is a function of C
c. The painter charges a $35 service fee in addition to an hourly rate
d. The painters hourly rate is $35.00"
The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. So, the correct option is D. The painters hourly rate is $35.00
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours.
The fixed fee, or service fee, is $60.
$35 is the hourly fee since in the function, it is 35 that is multiplied by the number of hours.
So, the correct option is D. The painters hourly rate is $35.00
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Marvin uses apples to make apple bread the ratio of apples to loaves is 12:2 what is the equivalent ratio for 5 loaves of bread
Answer:
dSutlrysl07tris5eiruwf3rtst47er747y3utgxgudjdudufnlgjfngvi
wonder woman made a reglangular fence around her invisable airplane so it would not get hurt by her dog. her fence was 4ft long, 2 ft wide, and 3 ft high. how much material did she use t make her fence
Answer:
36 ft^2
Step-by-step explanation:
Perimeter = 4 + 4 + 2 +2 = 12 feet
12 feet x 3 feet high = 36 ft^2
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear equation: 1/4a+1/3a+8=22
Answer:
a=24
Step-by-step explanation:
Start by subtracting 8 from both sides giving:
1/4a+1/3a=14
Then find a common denominator between the two a terms which is 12 giving:
3/12a+4/12a=14
Combine the two terms:
7/12a=14
Then divide by 7/12 giving you a=24
I need help for the question in the pic please help. thank you
Answer:
The value of x is 117° by using Alternative interior angle theorem
Step-by-step explanation:
Alternative interior angle theorem: It states that the angles made by transverse between two parallel lines are congruent.
as in figure
Angle A = 42°
Angle B = 108°
Angle C = x
Angle D = 51°
draw two parallel lines passing through B and C .
According to Alternative interior angle theorem angle B is written as 42° + 66°
and angle C is written as x1 + x2 .
Now x1 = 51° as x1 and D are alternative angles
And similarly x2 = 66°
As x = x1 + x2
Therefore x = 51° + 66° = 117°
The value of x is 117°
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Solve a^5=?
Please thank and thank you
Answer:
341.8801
Step-by-step explanation:
Find the nth term of this number sequence
1, 7, 13, 19, ...
Answer:
6n-5
Step-by-step explanation:
Some different types of sequences
To find sequence patterns, often the sequences are arithmetic (adding by a constant amount) or geometric (multiplying by a constant amount).
To test if something is a geometric sequence, find the quotient of (divide) adjacent terms.
To test if something is an arithmetic sequence, find the difference of (subtract) adjacent terms.
Finding the type of our sequence
Note the following:
19-13=6
13-7=6
7-1=6
So, to get each next term, add 6. However, what is the nth term?
Finding an expression for our sequence
You'll be adding up "n" sixes to get there (expressed with multiplication, because multiplication is shorthand for repeated addition), but we need a starting point so that when n=1, the expression equals 1, and when n=2, the expression equals 7... and so on. This starting point shifts the "6n" piece of our expression so that it lines up on the sequence. I'm going to call this starting point "b" for the base that is supporting this sequence.
So the expression will look something like [tex]6n+b[/tex]
Knowing that the expression needs to equal 1 when n=1, we can set up an equation and solve for "b".
[tex]6n+b=n^{\text{th}} \text{ term}\\6(1)+b=(1)\\6+b=1\\(6+b)-6=(1)-6\\b=-5[/tex]
So, the expression for the nth term of the sequence is [tex]6n-5[/tex]
Verifying
To verify that the expression we found is right, we can test our expression for each of the terms we do know:
The first term (n=1) is 1
[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]
[tex]6(1)-5 \overset{?}{=} (1)[/tex]
[tex]6-5 \overset{?}{=} 1[/tex]
[tex]1 \overset{\checkmark}{=} 1[/tex]
The second term (n=2) is 7
[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]
[tex]6(2)-5 \overset{?}{=} (7)[/tex]
[tex]12-5 \overset{?}{=} 7[/tex]
[tex]7 \overset{\checkmark}{=} 7[/tex]
The third term (n=3) is 13
[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]
[tex]6(3)-5 \overset{?}{=} (13)[/tex]
[tex]18-5 \overset{?}{=} 13[/tex]
[tex]13 \overset{\checkmark}{=} 13[/tex]
The fourth term (n=4) is 19
[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]
[tex]6(4)-5 \overset{?}{=} (19)[/tex]
[tex]24-5 \overset{?}{=} 19[/tex]
[tex]19 \overset{\checkmark}{=} 19[/tex]
Solve for r in the following equation:
5r - r - 9 = 15
what is the first step?
A. Use the subtraction property of equality
B. Use the addition property of equality
C. Combine like terms
What does the equation look like now?
(type your answer)
Use your answer and finish solving the equation for r.
R=____
An equation is formed of two equal expressions. The value of r in the given equation is 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution for the value of r in the given equation will be,
5r - r - 9 = 15
5r - r - 9 + 9 = 15 + 9
4r = 24
r = 6
A.) The first step is to Use the addition property of equality. Thus, the correct option is B.
B.) The value of r in the given equation is 6.
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What is the value of x?
(See attached image for details.)
Enter your answer in the box.
x =
Answer: x = 12
Step-by-step explanation: The given triangle is an equilateral triangle. Equilateral triangles have all angles and all sides equal. Thus, let's solve for x knowing all 3 equations are equal. For this, only 2 equations are necessary.
5x - 22 = 4x - 10
Adding 22 to both sides, we get:
5x = 4x + 12
Subtracting 4x to 5x, we get:
x = 12.
Thus 5*12 - 22 = 38, and 4*12 - 10 = 38, and so is 3*12 + 2 = 38. Thus, we know this is correct.
Answer:
x = 12
Step-by-step explanation:
Hello!
All three angles are congruent, indicating that this is an equilateral triangle.
The rules of this triangle say that all sides are congruent.
We can solve for x by setting any 2 sides equal to each other. I'm picking AB and BC.
Solve for x4x - 10 = 3x + 24x - 3x - 10 = 2x - 10 = 2x = 12The value of x is 12.
rectangle has a base of 10 and a height of 5. What is the perimeter of the rectangle?
Answer:
30
Step-by-step explanation:
P=2(b+h)=2·(10+5)=30
help please asap and thank you
Step-by-step explanation:
I am not sure I can see the room limitations.
what I see is that the kitchen is one large rectangle from
(-8, 8) to (0, 0).
the rec room is Amado one large rectangle from
(5, 6) to (8, -7).
I am basing the rest in this.
for the area calculations, please consider that the area of a rectangle is length × width, and the area of a triangle is half of the rectangle it splits in half with its baseline (as diagonal).
A)
area 1 =
rectangle (-8, 8) to (-5, 3)
plus
half of the rectangle (-5, 8) to (-3, 3)
3×5 + 1/2 × 2×5 = 3×5 + 1×5 = 15 + 5 = 20 yd²
area 2 =
half of the rectangle (-5, 8) to (-3, 3)
plus
rectangle (-3, 8) to (0, 3)
1/2 × 2×5 + 3×5 = 20 yd²
area 3 = area 4 =
half of the rectangle (-8, 3) to (0, 0)
1/2 × 8×3 = 4×3 = 12 yd²
B)
the total area of the kitchen is the sum of all 4 areas
20 + 20 + 12 + 12 = 64 yd²
we can also calculate this in general, seeing that the general dimensions of the kitchen are 8×8 : from (-8, 8) to (0, 0).
8×8 = 64 yd²
An object is moved at a constant speed of 20m/s for 4s
Answer:
80 m is distance traveled
Step-by-step explanation:
if object moves at 20m/s, then in 4 seconds the expression 20 x 4 is used to get 80. 80 m traveled
1. A comfortable ambient temperature is called room temperature. Approximately,
how hot or cold is it?
A. 20 OC B. 20 OF C. 40 OC D. 40 OF
2. Convert: 5da = _______hr
A. 300 B. 240 C. 120 D. 60
3. Pasig river can discharge a maximum of 56 m3 per second of water. How many
liters per second can it discaharge?
A. 56 B. 560 C. 5 600 D. 56 000
4. A snail moves at a constant rate of 25 cm per minute. At this rate, how many
hours will it take the snail to crawl 75 m?
A. 3 B. 4 C. 5 D. 6
5. The human body can normally endure a temperature of 105 0F but for a short
period of time only, otherwise, there will be permanent damage to the brain and
vital organs. What is the equivalent temperature in 0C?
A. 37 B. 37.5 C. 40.56 D. 45.56
Answer:
Using the simple mathematical relations and formulas we get the following correct answers.
1. Option A
2. Option C
3. Option D
4. Option C
5. Option D
Step-by-step explanation:
1. The approximate room temperature is 20°C. Option A is correct.
2. 1 day has 24 hrs. 5 days will have 5×24 = 120 hrs. Option C is correct.
3. The discharge is 56m³/sec. 1m³ has 1000L. So the discharge is 56000L/sec. Option D is correct.
4. The speed is 25cm/min or (25×0.01×60)m/hrs. = 15m/hrs. For 75m the snail would take 75/15 = 5hrs. Option C is correct.
5. The relation between °C and °F is (F-32)/1.8. The equivalent temperature is (105-32)/1.8 = 40.56°C. Option D is correct.
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3. Complete the square for the following equations:
a. y = 2x² 12x + 1
b. y = 4x² + 48x - 10
The square for the equation: [tex]y=2x^{2} + 12x +1[/tex] is [tex]y=2(x+3)x^{2} -17[/tex]
The square for the equation: [tex]y=4x^{2} +48x-10[/tex] is [tex]y=4(x+6)x^{2} -154[/tex]
a)
[tex]y=2x^{2} +12x +1[/tex]
[tex]y = 2[(x^{2} + 6x)] + 1[/tex] ( taking common)
[tex]y = 2[(x+3)^{2} - 9] + 1[/tex] ( adding and subtracting 9 to make a square term
[tex]y = 2(x+3)^{2} - 18 + 1[/tex] ( multiplying by 2)
[tex]y=2(x+3)x^{2} -17[/tex]
b)
[tex]y=4x^{2} +48x-10[/tex]
[tex]y = 4[(x^{2} + 12x)] - 10[/tex] (taking 4 common)
[tex]y = 4[(x+6)^{2} - 36)] - 10[/tex] (adding and subtracting 36)
[tex]y = 4(x+6)^{2} - 144 - 10[/tex](multiplying by 4)
[tex]y=4(x+6)x^{2} -154[/tex]
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Can someone help me with this, it’s urgent. It’s geometry.
Answer:
10. Ray ED and Ray EF (two rays)
11. DE and EF (two line segments)
Step-by-step explanation:
hope this helped
Answer:
Ray ED and Ray EF
DE and EF
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!help!!!!!!!
Answer: Answer below.
Step-by-step explanation: Attached is my work. Hope it is helpful!
Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. then, the remaining rope should be cut into 8 1/4 - inch sections to tie the tent to stakes in the ground. Mario will use all of the rope as instructed. write and solve n equation to determine the number of 8 1/4 - inch sections of rope Mario can cut from the rope
An equation is formed of two equal expressions. The number of sections that Mario can cut from the rope is 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of 8 1/4 - inch sections of rope Mario can cut from the rope be x.
Since the total length of the rope is 7 feet, which is equal to 84 inches(1 foot=12 inches), the instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. Therefore, the rope for the 8 1/4 inches section is,
Rope left = 84 inches - 34.5 inches
Since the length of a single section is 8 1/4 inches(8.25 inches), therefore the number of sections that can be made from the remaining section is,
The number of sections, n = Rope left/8.25 inches
= (84 -34.5)inches /8.25 inches
= 6
Hence, the number of sections that Mario can cut from the rope is 6.
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WILL GIVE BRAINLIEST!!!
For science class, Cora observed the growth of a pepper plant over time. Below is her log. How much taller was the pepper plant at the end of 4 weeks?
Growth of Plant
Start 3 inches
Week 1 5 inches
Week 2 7 inches
Week 3 9.5 inches
Week 4 11 inches
A. 6.75 inches
B. 7.5 inches
C. 8 inches
D. 10 inches
Answer:
c
Step-by-step explanation:
week 4 = 11
start = 3
11 - 3 = 8
answer is c
The correct Answer is: C. 8 inches
Step-by-step explanation:
If the plant started out at 3 inches and finished after 4 weeks at 11 inches, we can do 11-3 to find how much growth the pepper plant had.
11 - 3 = 8, therefore our answer is
C. 8 inches
(6, -5) reflected aross the y axis
Answer:
Then the new point is (-6,-5)
Step-by-step explanation:
URGENT!
Select the correct reason for each statement.
Step-by-step explanation:
if you have any doubts or queries regarding the answer please feel free to ask
