2x +3y=3
7x-3y=24
solve the above equations
2x+3y=3
+7x-3y=24
9x=27
x=27/9
x=3
substitute the value of x in 2x+3y=3
2(3)+3y=3
6+3y=3
3y=3-6
3y=-3
y=-3/3
y=-1
so the solution is
{x=3,y=-1}
Answer:
C : (3, -1)
Step-by-step explanation:
In 1986 and earthquake measuring 6.0 on the Richter scale hit the north east section of a state how many times as intense as a magnitude 3.0 earthquake was it?
Answer:
1000
Step-by-step explanation:
each number is 10 times more intense than the previous
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!!
A book has 280 pages. Of the 280 pages, 210 have printing, 40 have pictures, and 30 are blank. Write your answers as fractions. Represent a fraction using the / symbol.
What is the probability of not opening to a printed page?
Answer:
1/4
Step-by-step explanation:
printed part = 210
total pages = 280
probability to open printed page 210/280 =3/4
probability to not open printed page = 1 - probability to open printed page = 1 - 3/4 = 1/4
Answer:
1/4
Step-by-step explanation:
280-210=70
P=70/280=1/4
What is the area of the deck, not including the garden, in Plan A? (Type
the numeric answer only). *
Answer:
342 ft squared
Step-by-step explanation:
You know how to find the area of a rectangle: Multiply the dimensions together (length x width).
You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.
First, find the area of the big rectangle:
18 * 25 = 450 ft squared
Now, find the area of the small one:
9 * 12 = 108 ft squared
Finally, subtract the area of the small rectangle from the area of the big one:
450 - 108 = 342 ft squared
Hope this helps! Please comment on this answer if you have any questions :)
Please answer need help tysm!
Step-by-step explanation:
it's on the -0.8 number...
Answer:-0.8
Step-by-step explanation:count from -1 up to where B is
the 14th hole at riverwoods golf course is 378 yards long how long would it be on a model with a scale of 0.5 inches to 75 yards
Answer:
2.52 inches
Step-by-step explanation:
Model: 1 inch =150 yds
378/150=2.52
Length of model: 2.52 inch
HELP PLEASE!!! What is the best description of the transformation shown?
Answer:
reflection over the x-axis
Answer:
Reflection over the x axis
Step-by-step explanation:
The image is a mirror image across the x axis. Think of it as folded across the x axis. It looks identical
PLEASE HELP, BEEN STUCK FOR AN HOUR!!
Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.
Function g is represented by the table.
x 0 1 2 3 4
g(x) 75 43 27 19 15
Which statement correctly compares the two functions on the interval [0, 4]?
A.
Both functions are decreasing at the same average rate on that interval.
B.
Function f is decreasing, but function g is increasing, on that interval.
C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
D.
Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
Answer: C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Step-by-step explanation:
Let first work out g(x)
When x = 0
g(x) = 75
When x = 1
g(x) = 75( 1 - 50%)
g(x) = 75(0.5) = 37.5
Which is less than 43
With this, we can conclude that:
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Answer:
Step-by-step explanation:
The awnser is c because the person above me was right
which statements correctly describe the association between the variables A and B ? select each correct answer.
Divide: Multiple chocie PLEASE HELP
Answer:
p+q
Step-by-step explanation:
[tex]\dfrac{p^2-q^2}{p+q}\div\dfrac{p-q}{p+q}= \\\\\\\dfrac{(p-q)(p+q)}{p+q}\times \dfrac{p+q}{p-q}= \\\\\\\dfrac{(p-q)(p+q)}{p-q}= \\\\\\p+q[/tex]
Hope this helps!
Answer:
p+q
Step-by-step explanation:
We can use difference of squares to make the fractions
[tex]\frac{(p+q)(p-q)}{(p+q)} *\frac{p+q}{p-q}[/tex]
Since dividing is the same as multiplying bt the reciprocal
The (p+q) and the (p-1) cancel out so we are left with (p+q)
A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
B. 210
O C. 3,060
O D. 5,040
Answer:
B, 210
Step-by-step explanation:
there is 10 options for the first one, 9 option for the second, 8 options for the third and 7 for the last. 10*9*8*7=5040, which is d
First number can be 1 out of 10
Second number can be 1 out of 9
Third number can be 1 out of 8
Fourth number can be 1 out of 7
Total combinations = 10 x 9 x 8 x 7 = 5,040
The answer is D. 5,040
I’m stuck on this problem help
Shelley is building a brick wall that needs to be 1.57 meters tall. So far, the wall is 1.54
meters tall, How much taller does the brick wall need to be?
meters
Answer:
0.03 m
Step-by-step explanation:
End height: 1.57 m
Current height: 1.54 m
Difference: 0.03 m
Wall must be 0.03 m taller than it is now.
Which line has a slope 3/4
Line C shown in the graph has a required slope of 3/4.
Given that,
A figure is shown we have to determine a line that has a slope of 3/4.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanФ where x in degrees.
m =(y₂ - y₁) / (x₂ - x₁) = tanФ
here,
The slope of the line A = ∞
The slope of the line D = 0
The slope of the line B = 4/ 3
The slope of the line C = 3/4
Thus, Line C shown in the graph has a required slope of 3/4.
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Select the correct answer from each drop-down menu.
Shape I is similar to shape II.
Answer:
Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"
Answer:
The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2
Step-by-step explanation:
[tex]18-\sqrt{} -25[/tex]
Answer:
-(i×5) + 18
Step-by-step explanation:
Simplify the following:
-sqrt(-25) + 18
sqrt(-25) = sqrt(-1) sqrt(25) = i sqrt(25):
18 - i sqrt(25)
sqrt(25) = sqrt(5^2) = 5:
Answer: -(i×5) + 18
You start at (7, 0). You move up 9 units. Where do you end?
Answer:
(7, 9)
Step-by-step explanation:
Answer:
Your answer should be 7, 9
The sum of 2 numbers is 24. One number is equal to four times the second number added by 4. Determine the two numbers.
Answer: smaller number is 4, bigger number is 20
Step-by-step explanation:
24 - 4 = 20
4 * 4 = 16
20 - 16 = 4
Answer:
4 and 20.
Step-by-step explanation:
a circle has a circumfence of 3.14 units what is the diameter of this circle ?
Answer:
Step-by-step explanation:
A long distance phone call between two cities costs $3.43 for 7 minutes. What is the rate in cents per minute?
Which situation results in a final value of zero ?
a. The temperature after a decrease of 5 degrees from a temperature of -5 degrees .
b. The height of an airplane after taking off from ground level and rising 1,000 feet.
c.The amount of money received in change after making a $10 purchase with a $20 bill.
d. The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level.
Answer:
d
Step-by-step explanation:
because what is 24 meters- 24meters=0
Help!
A diver is at an elevation of −18 feet and dives down an additional 30 feet. What is that diver’s elevation in feet in relation to a second diver who is 27 feet below the surface?
If the first diver was already at -18 feet and then dived down an additional 30 feet, we add the two negative numbers together. The first diver is at -48 feet while the second diver is at -27 feet.
Answer:
Diver A is 21 ft below Diver B
Step-by-step explanation:
Diver A
-18 then goes down 30
-18 - 30 = -48
Diver B is at -27
Relationship
-48 - -27
-48+27 = -21
Diver A is 21 ft below Diver B
Please help! Read question 5.
Write the quadratic expression -16t2 − 8t + 24 in factored form.
Hope this helps! : )
express 1.875 in the form p/q
Answer:
If the answer asks for improper fraction it is [tex]\frac{15}{8}[/tex]
If it asks for simplest form it is [tex]1\frac{7}{8}[/tex]
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
[tex]1.875=\frac{1.875}{1}[/tex]
Multiply to remove 3 decimal places. Here, you multiply top and bottom by [tex]10^3=1000[/tex]
[tex]\frac{1.875}{1} *\frac{1000}{1000} =\frac{1875}{1000}[/tex]
Find the Greatest Common Factor (GCF) of 1875 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125
[tex]\frac{1875/125}{1000/125} =\frac{15}{8}[/tex]
Simplify the improper fraction
[tex]=1\frac{7}{8}[/tex]
Mrs. Smith decides to build her own vegetable garden. She goes to Home Depot and buys material to
build beds for the vegetables she'll grow. The beds are big wooden boxes. Each bed is 10 feet long, 5 feet
wide, and 1 % feet tall. She builds 4 beds for her vegetable garden and fills each bed with dirt. The bags
of dirt each contain 1.5 ft of dirt. How many bags of soil did Mrs. Smith buy to fill all 4 beds?
Answer: 4 bags
Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.
Classify the following triangle based on its shape.
A. Right
B. Isosceles
C. Equilateral
D. Scalene
Please answer this
Answer:
A
Step-by-step explanation
the square in the corner
The shape of the given triangle is right angle.
The square in the corner
We have given that,
A. Right
B. Isosceles
C. Equilateral
D. Scalene
We have to determine the shape of the given triangle.
What is the right angle?
A right angle is an angle of exactly 90 degrees or \pi /2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.
The shape of the given triangle is right angle.
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The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.
Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.
Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the x-intercept.
State the Domain and Range for this equation in the context of the problem scenario?
Answer:
x-intercept: x=24
DOMAIN: (0,24) where x∈Natural Numbers
RANGE: (0,12) where y∈Natural Numbers
Step-by-step explanation:
Remain money = y
Number of games = x
Given function:
[tex]y=12-0.5x\\[/tex]
x-intercept:x-intecept is the value of x where y becomes zero.
Substitute y=0 in the given equation:
[tex]0=12-0.5x\\0.5x=12\\x=\frac{12}{0.5}\\x=24[/tex]
Domain:Domain is a set of all possible values of x.
x= No. of games (So x cannot be negative)
y= Remain Amount (So y cannot be negative)
So the minimum value of x is 0 because x cannot be negative.
Maximum value of x is the value for which y doesn't become negative. For any value of x>24, y <0 which is not possible.
So maximum value of x is 24
DOMAIN: (0,24) where x∈Natural Numbers
Range:
Range is a set of all outcomes of y for all possible values of x.
For x=0 , y =12
for x=24 , y = 0
So
RANGE: (0,12) where y∈Natural Numbers
Inside triangle ABC point O was drawn such that ∠OAB, ∠OBA, ∠OBC, and ∠OCA are all congruent. It is also true that ∠OAC and ∠OCB congruent. Find the angle measures in triangle ABC.
Answer:
m∠A = 60
m∠B = 60
m∠C = 60
Step-by-step explanation:
Please mark Branilest
CAN SOMEONE PLEASE EXPLAIN THIS, I DONT NEED THE ANSWER ONLY EXPLANATION!!!!! HELP FASTTTTT THE ANSWER IS HEAT WAS ADDED
Answer:
C
Step-by-step explanation:
The substance in the second beaker must have lost heat for it to solidify
Answer:
Step-by-step explanation:
The thermometer’s temp could have made the liquid to chemically react?
