Answer:
[tex]x = 4[/tex]
[tex]y = -5[/tex]
Step-by-step explanation:
Given
[tex]-10x^2+80x+y=155[/tex]
[tex]5x^2-40x+y=-85[/tex]
Required
Solve by substitution
Make y the subject in [tex]5x^2-40x+y=-85[/tex]
[tex]5x^2-40x+y=-85[/tex]
[tex]y = -5x^2 + 40x - 85[/tex]
Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation
[tex]-10x^2+80x+y=155[/tex]
[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]
Collect Like Terms
[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]
[tex]-15x^2 + 120x-240=0[/tex]
Divide through by -15
[tex]x^2 -8x + 16 = 0[/tex]
[tex]x^2 - 4x - 4x + 16 = 0[/tex]
[tex]x(x - 4) - 4(x - 4) = 0[/tex]
[tex](x - 4)(x - 4) = 0[/tex]
[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]
[tex]x = 4[/tex] or [tex]x = 4[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]
[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]
[tex]y = -5*16 + 40 * 4 - 85[/tex]
[tex]y = -80 + 160 - 85[/tex]
[tex]y = -5[/tex]
Twice the sum of x and 3 is decreased by 13
Given:
Twice the sum of x and 3 is decreased by 13.
To find:
The expression for the given statement.
Solution:
The sum of x and 3 is (x+3).
Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)
Negative sign is used of decrease.
Decreased by 13 is represented by -13.
Using these representation, we get
Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]
Therefore, the required expression is [tex]2(x+3)-13[/tex].
pllsss I needddd helpp
What is the approximate circumference of the circle shown below
Answer: A) 46.5 cm
Step-by-step explanation:
Circumference = 2 π r or Circumference = π d
In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.
π ≈ 3.14.
We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.
C = π d
= (3.14)(14.8)
= 46.47 cm, which rounds to 46.5 cm
A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in meters, should the carpenter cut each piece?
Answer:
2 1/3 meters
Step-by-step explanation:
You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.
Solve the following equations
3y-6x=48
y=3x+11
Answer:
See below
Step-by-step explanation:
a). 3y-6x=48
soln
or, 3xy=48
or, xy=48÷3
or, xy=32,,
b). y=3x+11
soln
or, y=13x
or, xy=13,,
Which of these is not an equation?
A
3b = 5
B
43(4x + 7y)
C
78 = 3p - 37
D
a - 17 = 1,825,026
Option B is not an equation since it doesn't have the "=" sign. [It's an expression]
Hope it helps!
help please I beg✨✨✨✨✨
=======================================================
Explanation:
Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.
If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]
Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]
If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on
Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.
--------------------------
So far we've shown that "5 times a number" turns into 5*x or just 5x.
From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.
The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.
You deposit $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate
Use the formula,
I = Prt
P = Principal amount = 400
I = interest = 18
r = annual rate
t = time in years = 9/12 = 3/4
so,
18 = 400*r*3/4
r = 0.06
so the annual interest rate is 0.06 or 6%.
What’s the equation that represents the number of notebooks???plzzzzz
Answer:
The bottom choice. 0.29p + 1.59 = 5.07
Step-by-step explanation:
He only bought one notebook, therefore there doesn't need a variable assigned to it.
Pens need a variable because he buys more than one.
Evaluate the expression.
(30 = 6) + 53 + 10
Your answer
Answer:
30=69
Step-by-step explanation:
Answer:
30= 69
Step-by-step explanation:
30= 69
This much only
Write the algebraic expression for...
The product of a number x and 10
Answer:
10x
Step-by-step explanation:
product In math means multiplication, whiles and means addition
Find the value of : 0.678 multiplied by 9.01/0.0234
Answer:
261.06 (Approx)
Step-by-step explanation:
Given:
Two number = 0.678,9.01/0.0234
Find:
Multiply
Computation:
⇒ 0.678,9.01/0.0234
⇒ 0.678 x [9.01/0.0234]
⇒ 6.10878 / 0.0234
⇒ 261.058874
261.06 (Approx)
Can someone please help me on this question?
11r - 14r - 3 + 16 what is the answer
Answer:
-3r + 13
Step-by-step explanation:
11r - 14r - 3 + 16
add like terms
-3r + 13
Plz and quick!
I rly rly need this
Step-by-step explanation:
20x² = y - 24
y = 20x² + 24
For y to have the least possible value, x² have to be the least possible, which is 0.
Since -3 <= x <= 2 includes x = 0, this is allowed.
Hence least possible value of y
= 20(0)² + 24 = 24.
Answer:
24
Step-by-step explanation:
-3---> 20(-3)^2=y-24 ----> y=204
-2---> 20(-2)^2=y-24 ----> y=104
-1---> 20(-1)^2=y-24 ----> y=44
0---> 20(0)=y-24 ----> y=24
1---> 20(1)^2=y-24 ----> y=44
2---> 20(2)^2=y-24 ----> y=104
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week
Step-by-step explanation:
Given that,
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.
For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.
We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.
In July, total distance is ,
[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]
In June, total distance is :
[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]
Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.
Miguel took 7 hours to read a 259-page book and Julissa took 5 hours to read a 175-page book. Who read more pages per hour?
I need help thank you
Answer:
x is greater than or equal to 8.75 or 8 3/4
Step-by-step explanation:
So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.
By talking to the sales clerk at the hardware store, you find out that the burglar has two hideouts — the lake house and the cabin. Given the coordinate plane below, calculate the distances between the store and each hideout. Which hideout is closest to the store?
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
[tex]\displaystyle m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 40)
Point (20, 50)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{50-40}{20-0}[/tex]Subtract: [tex]\displaystyle m=\frac{10}{20}[/tex]Simplify: [tex]\displaystyle m=\frac{1}{2}[/tex]Does anyone know how to solve this (4-7i) - (-3+6i) ?
Step-by-step explanation:
(4-7i)-(-3+6i)
4-7i+3-6i
7-13i(simplified)
Answer:
7-13i
Step-by-step explanation:
(4-7i) - (-3+6i)
4-(-3)+(-7-6)i
7-13i
Isaiah gave $18 to his Friends. He gave 4 to Ricardo, $7 to Jeremiah, and the rest to Fabian. how much money did Fabian get?
Answer:
Fabian got $7.
Step-by-step explanation:
Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!
4 + 7 + f = 18
where f is the amount of money Fabian got.
4 + 7 + f = 18
(subtract 4 from both sides)
7 + f = 14
(subtract 7 from both sides)
f = 7
It looks like Fabian got $7! Let's check just to make sure.
4 + 7 + f = 18
4 + 7 + (7) = 18
18 = 18
It checks out!
PLEASE HELP WILL MARK BRAINLIEST!!!!!
Answer:
Samuel's function will have the greatest rate of change.
Step-by-step explanation:
Samuel's rate of change is -15 as shown by the graph. Isaac's is -10, Samuel's has the greatest value because it will change more dramaticly.
Annapurna suppliers sold construction materials at Rs. 497200 to Sagarmatha suppliers
making 10% profit and adding 13% VAT. Find the cost price of the Annapurna suppliers.
Sagarmatha suppliers spent Rs 10000 for transportation cost and made Rs. 30000 profit and
levied local tax Rs. 20000 and sold to constructor. Find the additional VAT applicable amount
and the final price with VAT
Step-by-step explanation:
annapurna suppliers to sagarmatha suppliers ,
SP = (100+10)%of 497200
=110/100 * 497200
SP = RS. 546920
VAT 1 = 13% OF 546920
= RS. 71099.6
SAGARMATHA SUPPLIERS TO CONSTRUCTOR,
CP=RS.546920
TC=RS.10000
PROFIT =RS. 30000
LT =RS. 20000
SP = RS. 60000
VAT=13%
VAT 2 = 13% OF 60000
= RS. 7800
final price with VAT = 7800+ 546920+71099.6
=RS. 625819.6
Final cost is 36463.6 and VAT end profit is 3646.36.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given
Material cost = 497200
10% profit = [tex]\frac{10}{100}[/tex] × 497200
= 49720
13% VAT = [tex]\frac{13}{100}[/tex] × 49720
= 6463.6
Hence, Final cost = 6463.6 + 10000 + 20000
= 36463.6
VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6
= 3646.36
Hence, Final cost is 36463.6 and VAT end profit is 3646.36.
Find out more information about percentage here
https://brainly.com/question/24159063
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The same price of every item in a store is 85% of it usual price. ( please explain your answer because I don’t understand how to solve this)
The usual price of a backpack is $30, what is its sale price?
In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?
Answer:
Lo: - 94o F
Step-by-step explanation:
Hi: 98oF
Difference: 192 degrees lower
Low: ?
Formula
98 - 192 = -94
That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)
If you think in Celcius
The formula is
C = 5/9(F - 32)
C = 5/9 (-94 - 32)
C = 5/9 (-126)
C = -60
I think Siberia must be much colder than -60.
PLEASE HELP VERY URGENT!
The graph shows the distance Kerri drives on a trip. What is Kerri's speed?
Driving Time and Distance
A. 25 miles per hour
B. 60 miles per hour
C. 75 miles per hour
D. 50 miles per hour
Answer:
Kerri's speed = 50 mile per hour. Therefore option (D) is true.
Step-by-step explanation:
Given the distance-time graph
It is clear from the distance-time graph that:
at Time = 1 hour, Distance = 50 milesat Time = 2 hours, Distance = 100 milesso the two points on the distance-time graph is:
(1, 50)(2, 100)Finding the slope between the points to determine the speed.
Please note that the slope between the points represents the speed or rate of change.
Speed = Rate of change = y₂-y₁ / x₂-x₁
= 100 - 50 / 2-1
= 50 / 1
= 50 miles per hour
Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.
Four different stores are having a sale on the same pair of shoes that cost $325. The signs below show the discounts available at each of the four stores. What is the price of one pair of shoes at each of the stores?
Answer:
I would need to see the signs to show each discount to figure this one out. Can you add it?
Step-by-step explanation:
What Is the solution to the system of equations? Y=-3x-2
5x+2y=15
Answer:
x,y=-19,55
Step-by-step explanation:
plug in y.
5x+2(-3x-2)=15
5x-6x-4=15
-x=19
x=-19.
Plug in.
y=-3(-19)-2
y=55
correct is B.
Hope this helps :D
Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one of Caleb workers delivery 10 hives to a 30 acre peach orchard did Zeke follow Calebs decision.how does the table prove your answer.
With a table
Answer:
Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.
If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.
Step-by-step explanation: