Answer:
7%
Step-by-step explanation:
5 years= $1,400
1 year= 1,400/5= 280
$280 is ?% of $4,000
(280/4000)*100
so, 7%
Hope this helps!
Solve the pair of equation
2x – y=9
4x^2 + 3y^2– 2x + y = 16
Answer:
[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]
[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]
Step-by-step explanation:
1) Solve for 2x - y = 9
A. Solve for y.
2x - y = 9
B. Subtract 2x from both sides.
-y = 9 - 2x
C. Multiply both sides by -1.
y = -9 + 2x
D. Regroup terms.
y = 2x - 9
2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16
A. Start with the original equation.
4x² + 3y² - 2x + y = 16
B. Let y = 2x - 9.
4x² + 3(2x - 9)² - 2x + 2x - 9 = 16
C. Simplify.
16x² - 108x + 234 = 16
3) Solve for x in 16x² - 108x + 234 = 16
A. Solve for x.
16x² - 108x + 234 -= 16
B. Move all terms to one side.
16x² - 108x + 234 - 16 = 0
C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218
16 x² - 108x + 218 = 0
D. Use the Quadratic Formula.
[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]
E. Simplify solutions.
[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]
4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.
1) Start with the original equation.
y = 2x - 9
2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]
[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]
3) Simplify
[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
You have a $50 gift card to go shopping for school supplies. You buy 2 packs of pencils, 5 notebooks. 6 folders, 1 pack of pens, 3 packs of paper, 1 pack of highlighters, and 2 binders.
pens: $1.57
pencils: $1.98
folder: $0.75
highlighter: $3.45
notebooks: $2.95
binders: $3.55
paper: $0.69
What value represents the change in value of the gift card after buying your school supplies ?
The value of the gift card declined by $37.40.
The total cost of all the items purchased has to be determined.
Total cost of pens = $1.57 x 1 = $1.57Total cost of pencils = $1.98 x 2 = $3.96Total cost of folders = $0.75 x 6 = $4.50 Total cost of highlighter: $3.45 x 1 = $3.45Total cost of notebooks: $2.95 x 5 = $14.75Total cost of binders: $3.55 x 2 = $7.10Total cost of paper: $0.69 x 3 = $2.07The sum of these items is $37.40
Change in value = value of the gift card - cost of items
$50 - $37.40 = $12.60
A similar question was answered here: https://brainly.com/question/19891026
Answer:
Total cost of pens = $1.57 x 1 = $1.57
Total cost of pencils = $1.98 x 2 = $3.96
Total cost of folders = $0.75 x 6 = $4.50
Total cost of highlighter: $3.45 x 1 = $3.45
Total cost of notebooks: $2.95 x 5 = $14.75
Total cost of binders: $3.55 x 2 = $7.10
Total cost of paper: $0.69 x 3 = $2.07
The sum of these items is $37.40
Change in value = value of the gift card - cost of items
$50 - $37.40 = $12.60
Step-by-step explanation:
11x-20=4x+15
what does x equal
Answer:
x = 5
Step-by-step explanation:
11x - 20 = 4x + 15
Add 20 to both sides
11x = 4x + 15 + 20
11x = 4x + 35
Subtract 4x from both sides
11x - 4x = 35
7x = 35
Divide both sides by 7
x = 35/7
x = 5
Please Help I will give 82 Points and Brainliest
What is the value of 2m² + 12 when m = 3?
A. 24
B. 30
C. 37
D. 38
Answer:
B. 30
Step-by-step explanation:
2m^2 + 12
m = 3
2(3)^2 + 12
3 squared is 9
2(9) + 12
2 times 9 is 18
18 + 12 = 30
2m^2 + 12 = 30
So we subtitute 3 to any "m" in your problem so,
2m^2+12
2(3)^2+12
2(9)+12
18+12
30
So, B is the correct answer!
How much do you need to subtract from 53 over 6 to make 8
Answer:
Step-by-step explanation:
Think about how this question is written out mathematically.
5/36−x=8
You’re looking for x.
When rewritten, we can move x to the right side for a positive x, then we can move 8 over to the left side for -8.
53/6−8=x
In simple fraction form 8=8/1
But here's where we've got a problem. The denominators aren’t alike… 6≠16≠1
In this case, multiplying 8/1 by 6/6 is the easiest way to get a common denominator for both, 6.
Multiply both the numerator (8) and denominator (1) by 6. So, now we have 48/6
Now that we have common denominators, we can subtract.
53/6 - 48/6
= 5/6
To check:
53/6 - 5/6 = 48/6
48/6 = 8
The length of the base of an isosceles triangle is x. The length of a leg is 2x-5 . The perimeter of the triangle is 25. Find x.
Answer:
=x+2x-5=25
=3x-5=25
=3x=30
=x=10cmStep-by-step explanation:
mark as brainliast
Answer:
10 cm
Step-by-step explanation:
answer and explain briefly
Answer:
Step-by-step explanation:
251 divided by something has to equal to a number it will divide by...
2 3 = 2x 2 x 2 = 8
x
p 2 = pxp
251 divided by 25 x8
/49 x8
/100x8
/4x 8
so I would say 5
PLEASE HELP IM GONNA CRY LOL
An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
Answer:
x = 33°
Step-by-step explanation:
x = angle
a complement of an angle =(90-x)
x = (90-x) - 24
x = 90 - x - 24
x = 66 -x
2x = 66
x = 33
URGENT!!!
Peggy sue decided to enter her famous “Five- Alarm chili” at her local chili cooking contest. Normally, she needs 5 tomatoes to make enough chili for her family of 7
A. How many tomatoes should she expect to use to make her famous recipe for 100 people?
b. When she gets to the contest, she realizes that she only packed 58 tomatoes. How many people can she expect to feed?
in the 2002 Winter Olympics in salt lake city , the United States and Canada earned a total of 51 metals. the United States earned twice as many as Canada. how many medals did each country earn?
Answer:
United States:34
Canada:17
Answer:
17 and 34
Step-by-step explanation:
the United States earned 34, while the Canada earned 17
Find the value of x in the equation below. 2.7+x=11.7
Solve the following system of equations graphically on the set of axes below.
y=x−2
y= - 1/5x-8
I need help. I don't even know where to start, or what to do. Can someone explain?
Answer:
You can follow the image attached. (Although not 100% accurate, since it is roughly an estimate of where the values are.)
Basically, you will indicate with dots (or crosses) the points which fulfill the data in the table. In this case, the x-axis will be the average temp and the y-axis will be the date in april trees bloom.
For example, you can roughly estimate where 1.5 in the x-axis, and follow to find 28 in the y-axis for the first set of data, and continue this for all 8 points.
a boy gains 8 marks out of 10 what percentage is this
It is 80%
8 divied by 10 is 0.8. Which is 80%
Answer:
8 out of 10 is the same thing as saying [tex]\frac{8}{10}[/tex] so it would be 80%
Step-by-step explanation:
8 ÷ 10 = 0.8 = 80%
Please help I need to find the scale factor for the side lengths!!!
Answer:
The blue thing is 4 times smaller than the big thing.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The image/preimage scale factor can be found by considering the lengths of corresponding sides.
Q'R'/QR = (4-2)/(16 -8) = 2/8 = 1/4
The scale factor is 1/4.
Triangle PQR is an isosceles triangle with the coordinates P(2, 3), Q(5, 10), and R(8,3).
What is the area of triangle PQR
Answer:
b
Step-by-step explanation:
Is s = 7 a solution to the inequality below s < 2 yes
Answer:
No
Step-by-step explanation:
No, because s is less then 2. 7 is not less then 2.
‘Hope that helps! :)
Answer:
no
Step-by-step explanation:
s<2
s=7
7>2
there were 230 leprechauns in school this year last year there were 175 leprechauns what is the percent change in the number of leprechauns.
Answer:
0.55%
Step-by-step explanation:
230÷100=2.30%
175÷100=1.75%
2.30-1.75=0.55%
I think ♂️
1/6 to the power of 3
Answer:
0.00462962962
Step-by-step explanation:
what is P= 100 I/RT a) I=3, R=4 and T=2
Answer:
not sure what that a) means but...
P = 300/8 = 150/4 = 75/2
Answer:
Answer: 19
Step-by-step Explanation:
P=x
x= 3 -(-8)(2)
x = 3 --16
(A negative plus a negative equal a
positive)
x= 19
PLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D
Answer:
D
4th option is correct
............
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
pls help me out quick,
Answer:
Step-by-step explanation:
1. 2x + 3y = 1,470
–2x –2x
3y = –2x + 1,470
3y/ 3 = –2x/3 + 1,470/3
y = –2x/3 + 490
The y-intercept of this equation is 490 and the slope is -2x/3.
2. I would graph this line by finding the y-intercept 490 first.
Then, you would move down twice from 490 to 488.
Finally, you would move to the right 3 times.
3. F(x) = –2x/3 + 490
The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.
I need help please! It’s due tonight and I don’t know.
Answer:
i think the first question is yes and the second one is no
Step-by-step explanation:
Find the value of x.
8.
x+9
2x
[tex]2x = \frac{x+2}{2} => 4x = x + 2 => 3x = 2 => x = 2/3[/tex]
ok done. Thank to me :>
Which statements are true of the line represented by the linear equation y= 1/3 x + 3
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
and y- intercept c = 3
PLEASE ANSWER THIS AS FAST AS YOU CAN
Answer:
x = 8 and y = 21
Step-by-step explanation:
3y + 27 = 90 so 3y = 90 -27 which is 63 and to get y you divide 63 by 3 to get 21
Angles on a straight line add up to 180 so 180 = x + 90 + 8x + 18
Then you minus 90 from 180 to get 90 = x + 8x + 18 which simplifies to 90 = 9x + 18
Then you minus 18 from 90to get 72 = 9x
Then divide 72 by 9 to get x = 8
What is the value of x in this triangle?
Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24
Answer:
18) 3
20) -65
22) 12/5
24) -5/2
Step-by-step explanation:
18) f(-5) = -[2(-5)+1] / 3
= -(-10+1)/3
= -(-9)/3
= 3
20) f(7) = -9(7)-2
= -63-2
= -65
22) f(-1) = -[(12 · -1)]÷5
= -(-12)÷5
= 12/5 or 2 2/5
24) f(9) = 2/9(9) - 9/2
= 2 - 9/2
= 4/2 - 9/2
= -5/2 or -2 1/2
Complete the expression that represents the prime factorization of 492.
Type the factors in the increasing order.
492 = 2 × 2×
×
Answer:
The prime factors of 492 are 2, 3, 41.
Step-by-step explanation:
→ 492 = 2 × 2 × ? × ?
→ 492 = 2 × 2 × 3 × 41
Let's check,
→ 492 = (2 × 2) × (3 × 41)
→ 492 = 4 × 123
→ 492 = 492
→ LHS = RHS
Hence, prime factors of 492 are 2, 3, 41.