Answer:
a=-4
Step-by-step explanation:
1) Isolate x for 2x+y=3 which will give us x=3-y/2
2) Substitute 3-y/2 in the equation -8x+ay=-11
3) Then we simplify
4) Isolate for y
5)Then we simplify in order to get -4
please help, I've tried learning this multiple times but just can't get it down
John left his house in Irvine at 8:35 a.m. to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50 a.m.. At 5:30 p.m. he left the meeting and drove home. He arrived home at 7:18 p.m.ⓐ What was his average speed on the drive from Irvine to Los Angeles? ⓑ What was his average speed on the drive from Los Angeles to Irvine? ⓒ What was the total time he spent driving to and from this meeting
A. The average speed was 36 mph.
B. The average speed on the drive from LA to Irvine was 25mph.
C. The total time he spent driving to and from the meeting was about 3 hours and 5 minutes.
in a survey of 23 college students it was found that 17 were taking an english class 10 were taking a math class and 8 were taking both english and math. how many students were talking a math only class?
a. 6
b. 14
c. 2
d. 4
Answer:
2
Step-by-step explanation:
out of 10 that were taking math 8 of them were also taking english. 10-8=2
Select all the statements that are true.
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
π is irrational because π is not a repeating decimal.
The true statements are,
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
What are irrational numbers?Irrational number are real numbers that cannot be expressed as a ratio of two integers.
When an irrational number is expressed in decimal form, it goes on forever without repeating.square roots like √2 ,√3, √5.. are irrational number.Now we have,
→π is irrational because π is a repeating decimal.
Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
Hence π is irrational.
⇒This statement is true.
→√7 is irrational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→7.1234… is irrational because it is a non terminating, non repeating decimal.
Since,the value of decimal in 7.1234… goes on forever and repeating.
Therefore,7.1234… is irrational.
⇒This statement is true.
→√7 is rational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→π is irrational because π is not a repeating decimal.
π is irrational because the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
⇒This statement is false.
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The second angle in a triangle is 3° less than twice the first angle. The third angle measure is 8° more than twice the first angle. Find each angle
Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.
Step-by-step explanation:
Wee will represent the first angle by f,the second by s, and the third by t.
If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation s= 2f-3 .
The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .
Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.
f+ (2f+8) + (2f -3) = 180 Combine like terms on the left side
5f + 5 = 180
-5 -5
5f= 175
f = 35
So the first angle is 35 degrees.
Second angle.
s=2(35) - 3
s= 70 -3
s = 67
The second angle is 67.
Third angle.
t = 2(35) + 8
t= 70 + 8
t= 78
The third angle is 78 degrees.
Now add the angles up to see if they equal 180 degrees.
35 + 67 + 78 = 180
180 = 180
What is -2/3 plus 1/5?
Answer:
-7/15
Step-by-step explanation:
Find GCF of both denominators
GCF: 15
Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5
This gives you -10/15 + 3/15
Solve
-7/15
A unit rate is a rate in which one of the quantities is 1. The unit rate is the same as the constant of proportionality. In our ice cream example, 1 scoop of ice cream costs $2. The unit rate, or unit price, of dollars per scoop is 2. Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot? A 1 B 2 C 3 D 4
Answer:
The annswer is 3 for the clay pots
Step-by-step explanation:
What is the place value of 3 in 9. 365?
Answer:
It is in the tenths place
Step-by-step explanation:
In the number 9.365, 3 is in the tenths place.
Suppose you travel 300 miles on a highway for 6 hours.At what rate did you travel?use the distance formula d=rt and solve for r.
Answer:
50 mph
Step-by-step explanation:
You are part of a construction company that is supposed to build houses. An architect has left plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 25 houses. Island A and Island C have a total of 10 houses. Island B and Island C have a total of 25 houses. A total of 30 houses is to be built on the three islands. Determine how many houses are to be built on each island.
Answer:
Island A=5
Island B=20
Island C=5
Step-by-step explanation:
Island AB=25 house
Island AC=10 house
Island BC=25 house
Total =30 house
30-25 to get the house on island C which is 5
30-10 to get the house on island B which is 20
30 -25 to get the house on island A which is 5
Place the numbers in order from least to greatest.
0.24,4 x 10^-2,0.042, 2 x 10^-4,0.004
Answer:
2x10^-4,0.004,4x10^-2,,0.042,0.24
Step-by-step explanation:
i did the paper
I need the answer to this with the steps, that’d help me out so much thank you❤️.
Answer: The dimensions of the frame:.
W= 2√10 or about 6.3245 inches
L= 4√10 or about 12.6491 inches
Step-by-step explanation:
This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.
Here the equation is w(2w)=80
2w^2 = 80 (2w is easier to work with than L/2).
w^2=40 (^2 means squared)
√w^2 = √40 square root of both sides: Factor 40. Take out√4
W = √4*10
W= 2√10
L= 2w = 4√10
6.3245 × 12.6491 = 80
Find the base for the following items.
4 is 1% of what number?
Answer:
400
Step-by-step explanation:
A steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. Find the height of the balance point of the blade.
Answer:
5.6 cm
Step-by-step explanation:
Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.
The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2
L = 1 cm
The y axis or the vertical length will be
L = sqrt ( [ 4-0]^2 + [0-0]^2)
L = Sqrt(16)
L = 4 cm
Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.
That is,
Thickness = 2 × 4 = 8 mm
The height of the balance point of the blade will be;
Height = 8 mm + 4 cm + 8 mm
Height = 0.8 + 4 + 0.8
Height = 5.6 cm
Note that the thickness will be added to both the top and the bottom of the blade.
Given that every fifteenth person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
We know that every 15th person gets a free box of popcorn.
This depends on order, but nobody knows what is his actual position, so we can assume that:
of 15 people, 1 will get a free box of popcorn.
Then the probability of getting free popcorn is:
1/15
And the negation, (the probability of not getting a free box) is:
1 - 1/15 = 14/15 = 0.93...
The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]
Probability :Given that, from 15 people, 1 will get a free box of popcorn.
Then the probability of getting free popcorn is:
[tex]P(E)=\frac{1}{15}[/tex]
the probability of not getting a free box is,
[tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]
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Olivia needs $104 to buy the bike she wants. She saves $8 a week. Find the number of weeks it would take for Olivia to have enough money to buy the bike.
Answer:
13
Step-by-step explanation:
This is a division problem.
$104/$8 = 13
Answer: 13
Find (a) the number of subsets and (b) the number of proper subsets of the set.
The set of days of the week.
(a) The number of subsets is
(b) The number of proper subsets is
Answer:
(a) Total No. of Subsets = 128
(b) Total No. of Proper Subsets = 127
Step-by-step explanation:
First we need to define the set of days of the week.
Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
It is evident from the set of days of the week, that it contains 7 elements.
(a)
The total no. of subsets of a given set is given by the following formula:
Total No. of Subsets = 2^n
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Subsets = 2^n
Total No. of Subsets = 2^7
Total No. of Subsets = 128
(b)
The total no. of proper subsets of a given set is given by the following formula:
Total No. of Proper Subsets = (2^n) - 1
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Proper Subsets = (2^n) - 1
Total No. of Proper Subsets = (2^7) - 1 = 128 - 1
Total No. of Proper Subsets = 127
The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.
Given :
The set of days of the week.
The following steps can be used in order to determine the number of subsets and the number of proper subsets:
Step 1 - According to the given data, the set is given below:
S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Step 2 - Now, the total number of subsets is given by the formula [tex]2^n[/tex] where 'n' is the number of elements of the set.
[tex]{\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128[/tex]
Step 3 - Now, the total number of proper subsets is given by the formula [tex](2^n-1)[/tex] where 'n' is the number of elements of the set.
[tex]{\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127[/tex]
a) The total number of subsets is 128.
b) The total number of proper subsets is 127.
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what is 5/6 divided by 5/9
Answer:
1 and 1/2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
1.5 as a decimal
1 1/2 as a fraction
HELP I'm stupid and idk what the answer is!
Answer:
72
Step-by-step explanation:
Answer:
72 m
Step-by-step explanation:
14x4=56
4x4=16
56+16=72
5 n/2= (a + b), for a
Answer:
5n/2 - b =a
Step-by-step explanation:
5n/2 = (a + b)
subtract b from both sides
5n/2 - b = a
-2(m + 7) = 3(m + 2)
Answer:
m= -4
Step-by-step explanation:
-2m-14=3m+6
-14=5m+6
-20=5m
m= -4
i need help please answer quickly this is due tomorrow
Step-by-step explanation:
elsian 69 pls help me with my latest question i will gove u anything u want pls its due today i am so stuck
Answer: see below
Step-by-step explanation:
Graph the points and rotate the graph as follows:
90° = 1 turn left180° = 2 turns left (or right)270° = 3 turns left (or 1 right)or use the following formulas:
90°: (x, y) → (-y, x)180°: (x, y) → (-x, -y)270°: (x, y) → (y, -x)1) 180°: (x, y) → (-x, -y)
D: (1, 4) → (-1, -4)
E: (7, 6) → (-7, -6)
F: (8, 3) → (-8, -3)
G: (2, 1) → (-2, -1)
2) 270°: (x, y) → (y, -x)
L: (1, 6) → (6, -1)
M: (8, 7) → (7, -8)
N: (5, 2) → (2, -5)
3) 90°: (x, y) → (-y, x)
Q: (2, 6) → (-6, 2)
R: (5, 7) → (-7, 5)
S: (7, 3) → (-3, 7)
T: (1, 1) → (-1, 1)
4) 180°: (x, y) → (-x, -y)
D: (3, 0) → (-3, 0)
E: (6, 1) → (-6, -1)
F: (7, -4) → (-7, 4)
G: (1, -6) → (-1, 6)
h(n)= n2 + 2n; Find h(2)
Answer:
h(2)= 8
Step-by-step explanation:
h(2) = 2^2 +2(2)
4 + 4
h(2)=8
Bucky received $100 for his birthday. How many hours can he jet ski on Lake Smellsomemore if costs $15
per hour to rent a jet ski and he also has to spend $10 on an inflatable life jacket?
Answer:
b hours
Step-by-step explanation:
100 minus the 10 on the jacket equals 90. 90 divided by 15 is 6
(2x-3)^2=81
If x is a solution to the equation above and x > 0, what is the value of x?
X=
Answer:
putting roots on both sides,
[tex] \sqrt{(2x - 3)} {}^{2} = \sqrt{81} [/tex]
or, 2x-3 =9
or, 2x= 9+3
or, 2x = 12
Or, x = 12÷2
:. x=6
Which equation show the relationship in the table?
Answer:
hours = 5 x dollars
Step-by-step explanation:
Because, for every hour you earn 5 dollars.
8. Kathy is painting the outside of her
house. Its area is 2,250 square feet. Each
gallon of paint covers 250 square feet
and costs $19.90. How much money is
she going to spend on paint to cover the
outside of her house?
Answer:
$179.1
Step-by-step explanation:
Total area to be painted = 2,250 sq.ft
area covered by per gallon of paint = 250 sq.ft
Hence, gallons of paint required to paint 2,250 sq.ft is...
2250/250 = 9
so, 9 gallons of paint are required to paint 2,250 sq.ft
cost per gallon of paint = $19.90
so, cost of 9 gallons is...
19.90*9 = 179.1
The total money that Kathy will spend for painting the outside of her house is $179.1.
What is Unitary Method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given is the Kathy who is painting the outside of her house. Its area is 2,250 square feet. Each gallon of paint covers 250 square feet and costs $19.90.
Area of the outer house = [A] = 2250 ft²
Area covered by 1 gallon of paint = [a] = 250 ft²
Therefore, the total gallons of paint needed = (2250/250) = 9 gallons.
Cost of 9 gallons of paint will be = 19.90 x 9 = 179.1
Therefore, the total money that Kathy will spend for painting the outside of her house is $179.1.
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Please help me out !!!
Answer:
i cant see the exponent sorry
Step-by-step explanation:
what is the value of x?
30
45
55
60
Answer:
[tex]\boxed {\tt B. \ x=45}[/tex]
Step-by-step explanation:
x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.
Add x and 3x, and set that equal to 180.
[tex]x+3x=180[/tex]
Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.
[tex](x+3x)=180[/tex]
[tex]4x=180[/tex]
Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{4x}{4} =\frac{180}{4}[/tex]
[tex]x=\frac{180}{4}[/tex]
[tex]x=45[/tex]
x is equal to 45, so the correct answer is B. 45
In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).
Supplementary angles add upto 180°.Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.
Then,
[tex] \angle TRS + \angle TRV = 180 \degree[/tex]
In the question, given angle TRS = x and angle TRV = 3x
[tex]x + 3x = 180 \degree[/tex]
[tex]4x = 180 \degree[/tex]
Now, divide 4 from both sides because we need to find x.
[tex]x = \frac{180 \degree}{4} [/tex]
[tex]x = 45 \degree[/tex]
It was given that Angle TRS is x
So, Angle TRS = 45°
Option B
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Find the volume of oxygen in a room with the dimensions of 144.78 cm x 198.12 cm x 144.78
Answer:
4,152,842.53301 cm³ ≈ 4.1528 m³
Step-by-step explanation:
The volume of a rectilinear room of those dimensions will be the product of those dimensions:
(144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³
A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...
4.1528 m³
_____
We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.
_____
Additional comment
These dimensions correspond to those of a room that is 57 inches square and 78 inches high.