Please solve both, graph and show work. answer also has to be in y=mx+b format.
2x-y=1 and x+y=2
Answers
-2x -2x
-----------------
-y=-2x+1
Multiply by -1
y=2x-1
x+y=2
-x -x
------------
y= -x+2
Related Questions
Yesterday's low temperature was − 2 . 5 ∘ C −2.5 ∘ Cminus, 2, point, 5, degree, C. Today's low temperature is 5 55 times as low as yesterday's low temperature.
Answers
If today's temperature is 5 times as low as yesterday's temperature, you just have to multiply it by 5.
-2.5 x 5 = -12.5
If the constant on the right side is not a perfect square, the answers will be
a)rational
b)irrational
Answers
Answer:
correct answer is b) irrational number
Step-by-step explanation:
Rational number:
Any number which can be expressed in the form of fraction of two integers a/b, denominator b should be non zero. Every integer is a rational number.
irrational number:
Any number which cannot be expressed in the form of fraction of two integers a/b is known as irrational number.
square roots of numbers which are not perfect squares are irrational numbers. Only the square roots of perfect square numbers are rational.
Aaron bought a large basket of 59 apples for $22.95. He also bought a small basket of 18 apples for 8.95. Which amount is the closest estimate of the cost per apple?
Answers
31.90/77 = .41
So, it'd be .40 if you were rounding.
Triangle ABC is represented by the drawing below.
What are the measures of the interior angles of (triangle)ABC?
Choices shown in photo. please help!
Answers
m∠A=(2x-30)°
m∠B=(x+20)°
m∠C=(x-10)°
Sum of angles of triangle is 180°
So, m∠A+m∠B+m∠C=180°
So, (2x-30)°+(x+20)°+(x-10)°=180°
4x°-40°+20°=180°
4x°-20°=180°
Adding 20° on both sides
So, 4x°-20°+20°=180°+20°
4x°+0°=200°
4x°=200°
To find the value of x,
So, x=200/4
x=50
So, m∠A=(2*50-30)°=100°-30°=70°
m∠B=(x+20)°=50°+20°=70°
m∠C=(x-10)°=50°-10°=40°
Answer:Option C
Penny has 3 friends over after school, and they are hungry for an after school snack! They find 2/3 of a pie left over from dessert lastnight. If they split up the leftover pie evenly between the 4 girls, how much pie does each girls get to eat?
Answers
Formula = Keep, change, flip
Keep 2/3
Change ÷ to ×
Flip 4 to 1/4
That equals 2/3 × 1/4 = 1/6
Answer = 1/6
Hope this helped☺☺
What is the next number in the sequence 3,7,15,31,63,
Answers
Answer:
The next number is 127
Step-by-step explanation:
The sequence is the previous number times 2 plus one.
Question 1: The sum of two consecutive even integers is 70. Find the numbers. Question 1 options:
28 and 32
30 and 40
33 and 37
34 and 36
Question 2: Cat is 5 less than twice Dog's age. Cat is 11 years old. Find Dog's age.
Question 2 options:
8
7
6
5
Question 3: The sum of three consecutive numbers is 46. Find the numbers.
Question 3 options:
19, 20, and 21
20, 21, and 22
21, 22, and 23
22, 23, and 24
Question 4: What is the equation for the sum of three consecutive even numbers totaling 198.
Question 4 options:
n+n+1+n+2=198
n+n+2+n+4=198
3n=198
n+3=198
Question 5: What is the equation for the sum of four consecutive numbers totaling 86.
Question 5 options:
4n=86
n+4=86
n+n+1+n+2+n+3=86
n+n+2+n++4+n+6=86
Question 6: The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the dimensions
Question 6 options:
length = 45 and width = 30
length = 30 and width =45
length = 75 and width = 60
length =60 and width =75
Question 7: A couch cost $825. If the state has a 10% sale's tax. What was the price of the couch before taxes?
Question 7 options:
785
$750
735
700
Question 8: A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicycle cost 5 times as much as the helmet?
Question 8 options:
bike = $200 and helmet = $40
bike = $160 and helmet = $80
bike = $120 and helmet = $60
bike = $100 and helmet = $90
Please help.
Answers
Assume that the first number is n. Since the two number are consecutive even numbers, this means that the second number is n + 2
We know that the sum of the two numbers is 70. This means that:
n + n + 2 = 70
2n + 2 = 70
2n = 68
n = 68/2
n = 34
This means that the two numbers are: 34 and 34+2 = 36 .......> last option
Question (2):
Assume dog's age is x. We know that cat's age is 5 less than twice dog's age. This means that:
cat's age = 2x - 5
We know that cat's age is 11, therefore:
11 = 2x - 5
11 + 5 = 2x
16 = 2x
x = 16/2 = 8
Dog's age is 8 .......> first option
Question (3):
The three numbers are consecutive. This means that we can assume the numbers to be n, n+1 and n+2. We know that their sum is 46. Therefore:
n + n + 1 + n + 2 = 46
3n + 3 = 46
3n = 43
n = 43/3
The three numbers are 43/3 , 46/3 and 49/3 .......> none of the given options in correct
Question (4):
The three consecutive numbers are all even. This means that we can assume the numbers to be n , n+2 and n+4
We know that their sum is 198. This means that:
n+n+2+n+4 = 198 .........> second option
Question (5):
The four consecutive numbers can be assumed as n, n+1 , n+2 and n+3. We know that their sum is 86. Therefore:
n + n+1 + n+2 + n+3 = 86 .......> third option
Question (6):
Assume the width is w. We know that the length is 15 cm greater than the width. This means that:
length = w + 15
Now, we have:
perimeter = 2(length + width)
150 = 2 (15 + w + w)
75 = 15 + 2w
60 = 2w
w = 60/2
w = 30 cm
This means that:
length = 15 _ 30 = 45 cm
Based on the above, the dimensions of the rectangle are:
length = 45 cm and width = 30 cm .......> first option
Question (7):
Assume original price before taxes is x
Total price = original price + taxes
825 = x + 0.1x = 1.1 x
x = 825/1.1
x = $750 .........> second option
Question (8):
Assume cost of helmet is x and that cost of bicycle is 5x. We know that the total is 240. This means that:
240 = x + 5x = 6x
x = 240/6
x = 40
This means that:
price of helmet = $40
price of bicycle = 5(40) = $200
..........> first option
Hope this helps :)
1.the numbers are 34 and 36.
2. Dog's age is 8 years old.
3. the numbers are 15, 16, and 17.
4.the numbers are 64, 66, and 68.
5.the numbers are 20, 21, 22, and 23.
6. the dimensions are length = 45 cm and width = 30 cm.
7.the price before taxes is[tex]\( \frac{825}{1 + 0.10} = 750 \)[/tex].
8. the helmet costs $40, and the bicycle costs [tex]\( 5 \times 40 = 200 \).[/tex]
1. The sum of two consecutive even integers is 70. We can set up the equation as ( x + (x + 2) = 70 ), where ( x ) represents the first even integer. Solving for ( x ), we get ( x = 34 ) and ( x + 2 = 36 ). So, the numbers are 34 and 36.
2. Cat is 5 less than twice Dog's age, and Cat is 11 years old. Let's denote Dog's age as ( d ). The equation is ( 2d - 5 = 11 ). Solving for ( d ), we find ( d = 8 ). So, Dog's age is 8 years old.
3. The sum of three consecutive numbers is 46. Let's denote the smallest number as ( n ). The equation is ( n + (n + 1) + (n + 2) = 46 ). Solving for ( n ), we get ( n = 15 ). So, the numbers are 15, 16, and 17.
4. The equation for the sum of three consecutive even numbers totaling 198 can be written as ( n + (n + 2) + (n + 4) = 198 ), where ( n ) is the smallest even number. Solving for ( n ), we find ( n = 64 ). So, the numbers are 64, 66, and 68.
5. The equation for the sum of four consecutive numbers totaling 86 can be written as ( n + (n + 1) + (n + 2) + (n + 3) = 86 ). Solving for ( n ), we get ( n = 20 ). So, the numbers are 20, 21, 22, and 23.
6. The perimeter of a rectangle is 150 cm, and the length is 15 cm greater than the width. Let's denote the width as ( w ). The perimeter equation is ( 2(w + 15) + 2w = 150 ). Solving for ( w ), we find ( w = 30 ) and [tex]\( \text{length} = w + 15 = 45 \)[/tex]. So, the dimensions are length = 45 cm and width = 30 cm.
7. If the couch costs $825 and there's a 10% sales tax, the price before taxes can be found by dividing the price by [tex]\( 1 + \frac{\text{tax rate}}{100} \)[/tex]. So, the price before taxes is[tex]\( \frac{825}{1 + 0.10} = 750 \)[/tex].
8. Let's denote the cost of the helmet as ( h ). Since the bicycle costs 5 times as much as the helmet, we have[tex]\( \text{bike} = 5h \).[/tex] The total cost is $240, so [tex]\( \text{bike} + \text{helmet} = 240 \)[/tex]. Substituting[tex]\( \text{bike} = 5h \)[/tex], we get ( 5h + h = 240 ), which simplifies to ( 6h = 240 ). Solving for ( h ), we find ( h = 40 ). So, the helmet costs $40, and the bicycle costs [tex]\( 5 \times 40 = 200 \).[/tex]
What is the measure of arc XY?
Please explain to me also, and only answer if you know for sure. Thanks!
Answers
XV is the diameter of a circle
arc XYV is equal to 180 degrees
arc XYV=180°
arc ZV=arc VY
arc VY=43°
then
arc XY=arc XYV-arc VY-------> arc XY=180-43-----> arc XY=137°
the answer is
arc XY=137°
ready is to prepared as unmindful is to
Answers
In the analogy posed in the question, 'ready' is to 'prepared' as 'unmindful' is to 'neglectful'. That is, just as being ready is synonymous with being prepared, being unmindful is synonymous with being neglectful.
Explanation:In English language, there is a type of analogy where a pattern of word pairs is presented and the pattern is to be completed with another pair of words that follows the same relation. In your question, 'ready is to prepared as unmindful is to....', therefore, we are trying to find a word that is to 'unmindful' as 'prepared' is to 'ready'.
When someone is 'ready', it means they are 'prepared'. In a similar way, when someone is 'unmindful', it means they are 'unprepared' or 'neglectful'. Therefore, 'unmindful is to neglectful' is the correct analogy to the given question, following the same pattern as the 'ready-prepared' analogy.
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The question seeks to find a word that is to 'unmindful' as 'ready' is to 'prepared'. This is looking for a word that shares a similar relationship, in this case, the word 'negligent'.
Explanation:The question is a form of analogy or comparison where you are asked to find a word that is to 'unmindful' as 'ready' is to 'prepared'. In other words, you are looking for a word that has a similar relationship to 'unmindful' as 'prepared' does to 'ready'. When you are 'ready' you are 'prepared'. Therefore, when you are 'unmindful' you can be seen as being 'negligent' because both words signify a lack of attention or thoughtfulness.
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In the triangle below,
1) Find the length of BC
2) Find the are area of Δ ABC
Answers
[tex]BC= \sqrt{AB^2+AC^2-2(AB)(AC)Cos \alpha } [/tex]
[tex]BC= \sqrt{6^2+4^2-2(6)(4)Cos(60)} [/tex]
[tex]BC= \sqrt{36+16-48Cos(60)} [/tex]
[tex]BC= \sqrt{52-48Cos(60)} [/tex]
[tex]BC=2 \sqrt{7} [/tex]
We can conclude that the length of the side BC is [tex]2 \sqrt{7} [/tex].
2. To find the area of triangle ABC we are going to use Heron's formula: [tex]A= \sqrt{S(S-A)(S-B)(S-C)} [/tex]
where
[tex]A[/tex] is the area of the triangle
[tex]S[/tex] is the semi-perimeter of the triangle
But first, we are going to find the semi-perimeter of our triangle using the formula: [tex]S= \frac{A+B+C}{2} [/tex]
We can infer for our triangle and from our previous calculation that [tex]A=2 \sqrt{7} [/tex], [tex]B=4[/tex], and [tex]C=6[/tex]. Lets replace those values to find the semi-perimeter of our triangle:
[tex]S= \frac{A+B+C}{2} [/tex]
[tex]S= \frac{2 \sqrt{7+4+6} }{2} [/tex]
[tex]S=7.65[/tex]
Finally, we can use Heron's formula to find the area of our triangle:
[tex]A= \sqrt{7.65(7.65-2 \sqrt{7})(7.65-4)(7.65-6)}[/tex]
[tex]A=10.42[/tex]
We can conclude that the area of our triangle is 10.42 square units.
A1. Since we have two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:
We can conclude that the length of the side BC is .
2. To find the area of triangle ABC we are going to use Heron's formula:
where
is the area of the triangle
is the semi-perimeter of the triangle
But first, we are going to find the semi-perimeter of our triangle using the formula:
We can infer for our triangle and from our previous calculation that , , and . Lets replace those values to find the semi-perimeter of our triangle:
True or false- "All quadrilaterals polygons."
Answers
the answer is true hope this helps :)
Consider the following system of equations:
2x + 3y = 45
x + y =10
What is the x-value of the solution for this system?
Answers
2x+3(-x+10)=45
2x+-3x+30=45
2x+-3x=15
-x=15
X=15
help I can't figure this out
Answers
area = PI * radius ^2
area = 113.0973355292
Since it is 165 degrees, then the area equals
165 / 360 * 113.0973355292
equals 51.8362787842
answer is b
Which of the following is not a credit card perk? O A. College points O B. Miles O C. Cash back O D. Balance transfer
Answers
Credit card perks are the perks offered to people by credit card companies in order to lure them to use their bank's credit cards. There can be a variety of perks like- using cards at a gas station can give some points that can be redeemed later. Using cards at certain restaurants can promise cash back offers etc.
So, the correct options are -
B. Miles(Few airlines promise free miles with certain credit card points)
C. Cash back
D. Balance transfer (This facility is also provided by few companies and it can help one save money with its interest-free period)
So, the only option that is not a perk of credit card is A. College points.
Answer:
Balance transfer
Step-by-step explanation:
The length of a rectangular prism is 5 feet and its height is 6 feet. Find the width of the prism if the surface area is 126 square feet.
Answers
PLEASSSSSSE HELLOOPpppppppppp
Answers
The figure can be broken into 3 different prisms. Left to right, I'd label them 1st tower, connecting base, 2nd tower.
I'll do the 2nd tower first since it has the most measurements. 5 * 5 * 12 = 25 * 12 = 300
The first and second towers are congruent so they have the same measurements; we just do 300 + 300 to find their volumes. It's 600.
Now, to find the connecting piece. The whole bottom length of this "U" shaped figure is 18 but the two towers have lengths of 5. To find the base of the portion we're looking for, we do 18 - 2(5) = 18 - 10 = 8. To find the height, we take away the top part of the second tower (7 m) from the whole height (12 m). 12 - 7 = 5. The width is given by the towers so we have what we need to solve.
8 * 5 * 5 = 40 * 5 = 200
Now add the volumes all together.
600 + 200 = 800
The figure has a volume of 800 cubic meters or 800 m³.
multiply. give your answer in standard form. (2n^2-7n+2)*(3n+1)
Answers
(2n ^ 2-7n + 2)
(3n + 1)
Multiplying we have:
(2n ^ 2-7n + 2) * (3n + 1)
(6n ^ 3-21n ^ 2 + 6n) + (2n ^ 2-7n + 2)
Rewriting we have:
6n ^ 3 + n ^ 2 (-21 + 2) + n (6-7) + 2
6n ^ 3 - 19n ^ 2 - n + 2
Answer:
6n ^ 3 - 19n ^ 2 - n + 2
A circus performer walks on a tightrope 25 feet above the ground. The tightrope is supported by two beams and two support cables. If the distance between each beam and the base of its support cable is 15 feet, what is the length of the support cable? Round to the nearest foot.
Answers
If you sketch out the question, you will see that it will form a right triangle with the cable as the hypotenuse.
Just set up and use the Pythagorean Theorem.
15^2 + 25^2 = c^2
850 = c^2
29.15 = c
PLEASSEE HELP i really dont get this math and this is due today so can some please help me with this asap!!!!
Answers
When finding the area you multiply the base by the height.
None of the other answers equal 80 so your answer is A.
The area of the parallelogram is 80mm^2. So, we'll go through each option to figure out what figure has the same area.
A - 1/2(4 x 20) = 40
B - 1/2(15 + 25) x 2 = 40
C - 1/2(6 + 14) x 8 = 80
D - 20 x 8 = 160
ANSWER:
Option 3 (C) - A trapezoid with bases of 6mm and 14mm and a height of 8mm
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer please???????
Answers
(you have diameter so cut it in half)
Pi*24^2=
1809.55
A circle with center (-2,6) passes through the point (-2,10). Which of the following is the equation of the circle?
Answers
If we plug x = -2 and y = 10 into equation a and c well see which one is correct
Plug in equation a:_
((-2+2)^2 + (10-6)^2 = 0 + 16 = 16
so its equation a Answer
First option is correct. The equation of the is [tex](x-2)^{2} +(y-6)^{2} =16[/tex].
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called "center".
General equation for circle[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
where,
(h, k) is the coordinate of the center of a circle
(x, y) are the coordinate points
r is the radius of circle.
According to the question
we have
the center of the circle, (h, k) = (-2, 6)
and the circle passes through the point (-2, 10)
since, the circle passes through point (-2, 10), the radius(r) of the circle is the distance between the points (-2, 6) and (-2, 10)
⇒ [tex]r =\sqrt{(-2+2)^{2 }+ (6-10)^{2} }[/tex]
⇒ r = [tex]\sqrt{0^{2}+(-4)^{2} }[/tex]
⇒[tex]r = \sqrt{16}[/tex]
⇒[tex]r = 4unit[/tex]
therefore,
the equation of the circle is given by
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
[tex](x-(-2))^{2} +(y-6)^{2} =16[/tex]
[tex](x+2)^{2} +(y-6)^{2} =16[/tex] ..... (1)
[tex]x^{2} +4+4x+y^{2} +12y+36 = 16[/tex]
[tex]x^{2} +y^{2} +4x+12y+24=0[/tex]
Hence, equation 1 represent the equation of circle i.e. [tex](x+2)^{2} + (y-6)^{2} =16[/tex]
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Ms. Coleman's class has already collected 403 cans for a food drive, but the class wants to collect a total of at least 1,000 cans. If each of the 28 students in the class brings an equal number of cans, how many more cans should each student bring for the class to have collected at least 1,000 cans?
Answers
can someone plz help me.
Answers
4. Add both of the number of seeds in the garden, which is x+4x+10. By adding like terms, you get the new equation of 5x+10. Therefore, the total number of seeds that Val plants will be 5x+10.
what did the horse say when it fell down
Answers
plz answer my multiple choice question
Answers
Which number is closest to V65 A. 8 B. 9 C. 32 D.64
Answers
The symbol 'V' before a number usually implies the square root in mathematics. Therefore, the square root of 65 (V65) is approximately 8.06. Hence, the closest number to V65 is 8.
Explanation:The symbol 'V' before a number often denotes the square root in mathematics. Thus, 'V65' implies the square root of 65. Calculating this gives an approximate value of 8.06. When you compare this value to the options provided: A. 8, B. 9, C. 32 and D. 64, you can see that the closest number to V65 (the square root of 65) is A. 8.
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10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work
Answers
equation is: width = area / length
width = 62.5 yd
Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²
For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd
Hope this helps :)
how do i solve this ? :')
Answers
Gabe went to the amusement pasrk with $40 to spend. His tickets cost $26.50. Write and solve an inequality to show how much he might spend on souvenirs and snacks.
Answers
$26.50 + x ≤ $40
subtract 26.50 from both sides
x ≤ $13.50
ANSWER:
Equation: $26.50 + x ≤ $40; He could spend a maximum of $13.50 on souvenirs and snacks.
Hope this helps! :)
Suppose 540 people visit the zoo.Predict how many people will choose the monkey exhibit as their favorite
Answers
Answer:
162
Step-by-step explanation:
There are 21 out of 70 people that like the monkey exhibit. So you divide that and get 0.3 or 3/10. Then you have to multiply that by 540. This gets you to 162 which is the answer to your problem.