Answer:
17
Step-by-step explanation:
Let the smaller number = x
Let the larger number = y
y = 2x + 8
y - x = 25 Add x to both sides
y = x + 25 Substitute this into the first equation
x + 25 = 2x + 8 Subtract 8 from both sides
x + 25 - 8 = 2x Combine
x + 17 = 2x Subtract x from both sides.
17 = 2x - x Combine
17 = x
y = x^2+5x-3
y-x=2
What is the solution of the linear-quadratic system of equations
Answer:
(-5,-3)
(1,3)
Step-by-step explanation:
Solving with substitution
Set both equations to y = ...
y = x^2 + 5x - 3
----------------
y - x =2
y = x + 2
----------------
Substitute one of the Y's with the other Y = equation.
x + 2 = x ^2 + 5x -3
Set one side to 0
0 = x^2 + 4x -5
x^2 + 4x - 5 = 0
Simplify by factoring
(x-1) (x+5)
Get your X values
x-1 = 0
x = 1
x+5 = 0
x = -5
Plug in each X into one of the equations to get your Y value.
1st X
y = x + 2
y = 1 + 2
y = 3
When X = 1, Y = 3
2nd X
y = x + 2
y = -5 + 2
y = -3
When X = - 5, Y = -3
Your answers are (1,3) and (-5,-3)
Linda deposits $90,000 into an account that pays 6% interest per year, compounded annually.
Bob deposits $90,000 into an account that also pays 6% per year. But it is simple interest.
Find the interest Linda and Bob earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answer: Linda earns more interest
Step-by-step explanation:
Linda: 90000 x 1.06^3 -90000 = 17191.44
Bob: (90000 x 1.06 - 90000) x 3 = 16200
17191.44 > 16200
What is the third number in this sequence?
Step-by-step explanation:
x = the first number of the sequence
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
6x + 1 + 2 + 3 + 4 + 5 = 519
6x = 504
x = 84
so, the third number is x+2 = 84 + 2 = 86
A
3
-2
-1
0
2
3
4
В.
The midpoint of AB = ([?],[ ])
Enter
Step-by-step explanation:
hope it will help you and please mark the answer as brillant please.
Which TWO identify the same sequence?
A) f(x) = 6x + 4 for x = {1, 2, 3, ...}
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
C) a1 = 6 and an + 1 = an + 4 for n = {1, 2, 3, ...}
D) a1 = 10 and an + 1 = an + 4 for n = {1, 2, 3, ...}
E) a1 = 10 and an + 1 = an + 6 for n = {1, 2, 3, ...}
The sequences A and E are the same sequences.
What is Sequence?Sequences are set of numbers where the numbers are arranged in a specific order. Some of the common types of sequences are Arithmetic sequences and Geometric sequences.
A) f(x) = 6x + 4 for x = {1, 2, 3, ....}
f(1) = 10, f(2) = 16, f(3) = 22, ....
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
f(1) = 14, f(2) = 24, f(3) = 34, ....
C) a₁ = 6 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 6, a₂ = a₁ + 4 = 10, a₃ = a₂ + 4 = 14, ....
D) a₁ = 10 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 4 = 14, a₃ = a₂ + 4 = 18, .....
E) a₁ = 10 and aₙ₊₁ = aₙ + 6 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 6 = 16, a₃ = a₂ + 1 = 22, ....
A and E are the same sequences with a common difference 6 and the first term 10.
Hence A and E have the same sequence 10, 16, 22, .....
To learn more about Sequences, click :
https://brainly.com/question/21961097
#SPJ5
What's does A equal?
Answer:
x = 65
Step-by-step explanation:
2x + 2(2x-15) = 360
2x + 4x - 30 = 360
6x = 390
x = 65
16,40 and 56 LCM
Solve please
Answer:
pic?
Step-by-step explanation:
send me the picture please
Define the following sequence recursively: 96, 48, 24, 12, ....
Select one:
a. f(1)=12 f(n−1)=2⋅f(n) n≥2
b. f(1)=12 f(n−1)=−12⋅f(n) n≥2
c. f(1)=96 f(n)=12⋅f(n−1) n≥2
d. f(1)=96 f(n)=2⋅f(n−1) n≥2
Answer:
I do not see that any of your options will work.
Step-by-step explanation:
a) and b) have a false first statement because f(1) = 96, not 12
c) would create the sequence 96, 1152, 13824
d.) would create the sequence 96, 192, 384. 768...
I believe the correct answer would be
f(1) = 96 f(n) = ½f(n-1) n ≥ 2
which could be either c) or d) if taking potential typographic errors into account. Recording a "2" or "12" where a "½" ought to be.
The gas tank on a car holds 13.3 gallons. If the car goes 199.5 miles on a single tank, how many miles per gallon does the car get?
Answer:
292.6
Step-by-step explanation:
What is the measurement of ADB?
A. 90
B. 95
C. 105
D. 145
Answer:
C)105
Step-by-step explanation:
sizde benim sorduğum soruları cevaplarsanız sevinirim doğru ve hızlı bir şekilde
Which of the following expressions has a "x" term with a coefficient of 1?
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that has a "x" term with a coefficient of 1 is the expression that has positive one in from of the term that has x in the expression.
Now, If all the options are observed, then it can be found that the second option has x term with leading coefficient as 1.
Hence, the correct option is B.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width
Answer:
Step-by-step explanation:
If you mean length is 2½ times its width not "2½cm times its width"
2(L + W) = 270
2(2.5W + W) = 270
2(3.5W) = 270
7W = 270
W = 38.5714285714...
W ≈ 38.57 cm
Answer:
Width = 38. 57 cm
Step-by-step explanation:
The perimeter of a Rectangle = 270 cm
Now,
Let's take x to be the width.
Length = 2½ = 5x/2
According to the formula,
The perimeter of a rectangle = 2 ( l + w )
270 = 2 ( 5x/2 + x )
270 = 5x + 2x
270 = 7x
x = 270/7
x = 38. 57 cm.
• The width of a rectangle is 38.57 cm
Listen
ol
Figure B is a scale image of Figure A, as shown.
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this. 42/53
Answer:
scale factor = [tex]\frac{14}{5}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{7}{2.5}[/tex] = [tex]\frac{7(2)}{2.5(2)}[/tex] = [tex]\frac{14}{5}[/tex]
What is 153/4 as a whole number
[tex] \frac{4}{3} = \frac{51}{n} \\ = > \frac{3}{4} = \frac{n}{51 } \\ = > n = \frac{3}{4} \times 51 \\ = > n = \frac{153}{4} \\ = > n = 38 \frac{1}{4} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Lena bought 40 tickets to use at a carnival. She used some of the tickets to ride the bumper cars and play some games. Now she has 24 tickets left. What is the percent of decrease in the number of tickets that he has?
a. 66.6
b. 40
c. 60
d. 80
Answer:
40
Step-by-step explanation:
that's how it is done hope it will help
Harry read 1/3 of a book on Saturday and three force of the remainder on Sunday. If he still had 75 pages left how many pages were in the book?
Should I write the answer as decimal or a whole number
Points E, D, and H are the midpoints of the sides of ΔTUV. UV=82, TV=106, and HD= 82. Find HE.
Answer:
41
Step-by-step explanation:
53/106 = x/82 similar triangles
x=41
Rachel buys 1 gallon of milk. Her sister Abby uses 15 quarts of the milk in a recipe. Then her mother
uses 3 cups of the milk in a different recipe
Select all of the true statements below
O A Rachel's mother uses more milk than her sister Abby uses
B. There are 56 fluid Ounces of milk left
C. There are 9 cups of milk left
D. There is more than gallon of milk lett,
O E There is more than 5 gallon of milk left,
Answer:
Option B
Step-by-step explanation:
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
100 points on the line
Answer:
x = 7 & y = 8
Step-by-step explanation:
We know that
Mean = Sum of terms/Total terms
=> Mean = 4 + 6 + x + y + 10/5
=> Mean = 20 + x + y/5
Now,
Median = (n + 1)/2
=> Median = (5 + 1)/2
=> Median = 6/3
=> Median = 3rd term = x
So,
x = 20 + x + y/5
x × 5 = 20 + x + y
5x = 20 + x + y
5x - x = 20 + y
4x = 20 + y
Since x and y are in order so,
Possible outcomes will be 7,8 & 9
(7,8) & (8,9) & (7,9)
Taking x = 7 and y = 8
4(7) = 20 + 8
28 = 28
Hence,
x = 7 and y = 8
Answer:
y=7 x=8
Step-by-step explanation: hope you do well in school
Hey , can you help me with this math equation ?
I need help solving this problem
Solve for X
Answer:
x = -7
Step-by-step explanation:
The 2 horizontal lines are parallel as given ion the problem.
The x + 97 angle is congruent to the right angle.
x + 97 = 90
x = -7
Is (9, –6) a solution to this system of inequalities?
17x + 12y > 19
10x + 5y > –13
Answer:
Yes
Step-by-step explanation:
( 9 , -6 )
17(9) + 12(-6) > 19
153 + (-72) > 19
81 > 19
10(9) + 5(-6) > -13
90 + (-30) > -13
60 > -13
(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)
Answer:
3 big guys
Step-by-step explanation:
Answer:
Step-by-step explanation:
we find by synthetic division.
v-8=0
v=8
8 | 3 -34 79 5 21 19
| - 24 -80 -8 -24 -24
|----------------------------------
3 -10 -1 -3 -3 |-5
Quotient:-3v^4-10v³-v²-3v-3
Remainder:- -5
The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler was 15 L per hour. The water Output rate for the Rodriguez family speakers is 30 L per hour.Families used their sprinklers for a combined total of 75 hour result in a total water of output of 1725 L how long was a sprinkler used?
Answer:
Hayes family: 35 hoursRodrigues family: 40 hoursStep-by-step explanation:
Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.
15x +30y = 1725 . . . . . total liters of use
x + y = 75 . . . . . . . . . total hours of use
The second equation lets us write an expression for y:
y = 75 -x
This can be substituted into the first equation to give ...
15x +30(75 -x) = 1725
-15x + 2250 = 1725 . . . . . . simplify
-15x = -525 . . . . . . . . . . . subtract 2250
x = 35 . . . . . . . . . . . . . . divide by -15
y = 75 -35 = 40
The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.
Last year's computer models are discounted 20%. What was the original price to the nearest dollar of a computer that now costs $1,480?
Answer:
$1850Step-by-step explanation:
If the Original price was $ X , Then[tex]x - 0.20x \: = 1480[/tex]
[tex]0.8x = 1480[/tex]
[tex]x = 1480 \div 0.8[/tex]
So , X = 1850 dollars .Hope this helps you !!!I'm not sure if this is correct, but I got this
Last year’s computer models are discounted 20%. If a computer is on sale for $1,480, what is the original price of the computer rounded to the nearest dollar?
20% = 0.2
1,480 x 0.2 = 296
1,480 + 296 = 1,776
Answer: 1,776
Again, I don't know if this is correct, so don't be 100% sure with my response.
Joe wants to build a doll house for his daughter. He wants the doll house to look just like his house. His house is 29 feet wide and 32 feet tall at the highest point of the roof. If the dollhouse will be 2.5 feet wide, how many feet will its highest point be? (Round your answer to one decimal place.)
Answer:
3.5 feet
Step-by-step explanation:
The highest point of the dollhouse will be 2.76 feet.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The width of house = 29 feet.
And the height of the house = 32 feet.
Also, the width of dollhouse = 2.5 feet
Let the height of the doll is x feet.
To find the value of x,
Use proportion property,
29 / 32 = 2.5 / x
x = (32 × 2.5) / 29
x = 80 / 29
x = 2.758
the height of the doll is 2.76 feet.
To know more about Proportion on:
https://brainly.com/question/7096655
#SPJ5
is a half of a teaspoon more than a fourth of a teaspoon
Answer:
Half of a teaspoon is more than a fourth of a teaspoon
Step-by-step explanation:
1/2 is greater than 1/4
The perimeter of a rectangular field is 314 m.
If the width of the field is 72 m, what is its length?
Answer:
85m
Step-by-step explanation:
Perimeter of a rectangle = 2(l+b)
b=72m, l=?
perimeter =314m
314=2(l+72)
314/2= l+72
157=l+72
l=157-72
l=85m
Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7
Answer:
Yes, it is a possible solution for Y >/= 5x+7
Step-by-step explanation:
You plug in the values (x,y) ie (-2,5):
5(-2)+7=-3
-3<5 so -3 is less than 5.
Thus, Y is greater than 5x+7 at (-2,5).