Answer:
x = 1.155
x = -1.155
Step-by-step explanation:
4x² = x² + 4
i) move variable to the left-hand side and change its sign4x² - x² = 4
ii) collect like terms3x² = 4
iii) divide both sides of the equation by 3[tex] \frac{ {3x}^{2} }{3} = \frac{4}{3} [/tex]
[tex] {x}^{2} = \frac{4}{3} [/tex]
iv) take the square root to the opposite side of the equation and remember to use positive and negative roots[tex]x = + - \sqrt{ \frac{4}{ 3} } [/tex]
v) the equation has two solutions. write the solutions, one with a '+' sign and another with a '-' sign[tex]x = \sqrt{ \frac{4}{3} } \: or \: 1.155[/tex]
[tex]x = - \sqrt{ \frac{4}{3} } \: or - 1.155[/tex]
A recipe uses 4 cups of milk to make 8 servings. If the same amount of milk is used
for each serving, how many servings can be made from one pint?
1 gallon 4 quarts
1
quart
2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of
servings for?
Answer: 4 servings
4 cups of milk = 8 servings
2 cups of milk = 4 servings
I divided both sides by 2 to change "4 cups milk" into "2 cups milk".
The reason why I want 2 cups of milk is because the chart you're given shows 1 pint is 2 cups.
Therefore, 1 pint of milk will get you 4 servings.
In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?
A)
2/5
B)
3/4
C)
4/3
D)
5/2
Answer:
hi
Step-by-step explanation:
I'm anmol kulkar from India thanks for free points by
Answer:
The correct answer is B,
3/4.
Step-by-step explanation:
choices A and D, you may have incorrectly formed your answer out of the coefficients in the point (2p,5r). If you picked Choice C, you may have confused r and p.
y=2x+b gives:
5r=2(2p)+b
5r=4p+b
b = 5r−4p.
Next, we can set the two equations equal to b equal to each other and simplify:
b=r−p=5r−4p
3p=4r
Finally, to find
r/p
divide both sides of the equation by p and by 4:
3p=4r
3=4r/p
3/4=r/p
A car initially at rest, starts moving with constant acceleration of 7 m/s2 and covers a distance of 56 m in 4 sec. Calculate the distance travelled by the car in 10 sec.
A. 140 m
B. 350 m
C. 364 m
D. 406 m
was marked down $20. The sale price was $40. What was the original price
Answer:
$60
Step-by-step explanation:
The sale comes after the markdown.
let’s set an equation:
x - 20 = 40
x= 60
$60
A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of surface, how much paint is needed to put two coats of paint on the entire surface of the tank?
Answer:
Approximately 11 gallons of paintStep-by-step explanation:
First we need to calculate the Total surface area of the cylindrical tank as shown;
TSA of the tank = 2πr² + 2πrh
TSA of the tank = 2πr(r+ h) where;
r is the radius of the tank
h is the height
Given
radius = 5.5ft
height = 16ft
Get the surface area;
TSA = 2π(5.5)(5.5+ 16)
TSA = 2π(5.5)(21.5)
TSA = 2π(118.25)
TSA = 2(3.14)(118.25)
TSA = 742.61ft²
If a gallon of paint will cover 130ft^2 of surface, then the total number of paint needed will be;
Total number of paint needed = 742.61/130
Total number of paint needed = 5.7
For one coat we will need 5.7gallons of paint
For two coats we will need 2 * 5.7gallons = 11.4
Hence approximately 11 gallons of paints will be needed for the two coats
A map has a scale of 4.5 inches = 36 kilometers. If the distance between two cities is 8.5 inches, what is the actual distance between the cities
Answer:
68 km
Step-by-step explanation:
A map has a scale of 4.5 inches = 36 km
We need to find the actual distance between the cities if the distance between two cities is 8.5 inches.
We can find 1 inch is equal to what as follows :
1 inch = (36/4.5) km
For 8.5 inches,
[tex]8.5\ \text{inches}=\dfrac{36}{4.5}\times 8.5\\\\=68\ km[/tex]
Hence, the actual distance between the cities is 68 km.
15 + 20x = 18 + 20x
Please help him determine the value of x, if any, that makes
the equation true. Explain how you know and what your
answer means in terms of solutions.
15+20x=18+20x
20x+15=18+20x
2. then you want to rearrange the terms again:20x+15=18+20x
20x+15=20x+18
3.Subtract 15 from both sides of the equation:20x+15=20x+18
20x+15-15=20x+18-15
4.Simplify:1.subtract the numbers
20x=20x+3
5.Subtract the 20x from both sides of the equation:20x=20x+3
20x-20x=20x+3-20x
6.Simplify1.combine like terms
0=3
or x=3find the missing side length in the right triangle.
Answer:
5.83
Step-by-step explanation:
Pythagorean Theorem a^2 + b^2 = c^2
[tex]5^{2} + 3^{2} = 34\\\sqrt{34} = 5.83[/tex]
Find the value of f(x)= 3x to the power of 2 - x +23 for x=-4
Answer:
This is not a real equation
Step-by-step explanation:
You cant do it when there are multiple resudents
please help asap!! Find the base
if travel 50 miles in 3 hours what is my rate in miles per hour
Answer:
16.6...
Step-by-step explanation:
....................
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
a, it came by used in expressions, but it is not an expression
b, no, the number in front is a coefficient
c. yup
d, wth no
Mrs. Jones is creating a seating chart for the front row of her classroom. She has 10 possible students to place in the front row. If there are 30,240 different for the seating chart, how many seats are in the front row?
Answer:
5 seats
Step-by-step explanation:
if I'm getting the right idea, the seats are NOT enough
since the number of arrangement of 10 people in a row is
10! = 3628800 which is a lot larger than 30240.
---------------------------------------------------------------------------------------
Let number of seats be
10PX = 30240
[tex]\frac{10!}{(10-X)!}[/tex] = 30240
(10-X)! = [tex]\frac{10!}{30240}[/tex]
(10-X)! = 120
(10-X)! = 5!
10-X = 5
X = 5
Solve the equation and explain each step using apropriate Properties
-4(3x+6)+6=-30
Answer:
The answer is x=1
Step-by-step explanation:
-4(3x+6)+6=-30
-12x-24+6=-30
-12x-18=-30
-12x-18+18=-30+18
-12x=-12
-12x/-12=-12/-12
x=1
h(x) = -(x + 3)(x - 2)
Answer: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−3,0),(2,0)
y-intercept(s): (0,6)
Which expression gives the best estimate of 45 percent of 76?
One-fourth (80)
One-fifth (80)
One-half (80)
StartFraction 1 Over 9 EndFraction (80)
Answer:
1/2 of 80Step-by-step explanation:
45% is close to 1/2 (50%) and 76 is close to 80, so 1/2 of 80 is the best answer.
1/2 of 80 is 40
45% of 76 is 76 x 0.45 is 34.2
Answer:
1/2 of 80
Step-by-step explanation:
here some points, what 50x47 -39(btw just give an answer)
Write and solve the equation modeled below.
Answer: The large rectangle boxes all have the property of 2
This is because 2 large boxes are equivalent to 4 and one of the rectangular boxes has to fill in the gap which is the 2 -1 boxes which would make them equivalent to each other.
Answer:
g
Step-by-step explanation:
g
v= u + at
u=2 a= -5 t=1 half
What’s the value of v?
Answer:
Prime number
Step-by-step explanation: because it doesn't have a value so yeah its a prime number.
Answer:
V = 0.5
Step-by-step explanation:
V = u + at
If U = 2, a = -5, and t = 1/2, then you can replace these in the equation to make the equation: V= 2 + (-5 x 1/2)
Solve the parenthesis first. -5 times 1/2 is -2.5.
Now the equation is V= 2 + -2.5
Simplifying that even more, 2 + -2.5 is 0.5
Therefore, V = 0.5
Hope this helped!
20 points helppppp which pair shows equivilent fractions
2x+10=2(x-5)
-2(x+5)=2x-10
-2x-10=-2(x+5)
-2(x-5)=-2x-10
Answer:
Third
Step-by-step explanation:
First would be, simplified, 2x+10=2x-10
Second, simplified, -2x-10=2x-10
Third, simplified, -2x-10=-2x-10
Fourth, simplified, -2x+10=2x-10
So it's third :)
hope this helps :D
Answer:
gettin my points yessir
Step-by-step explanation:
Andrew needs a ladder to hang holiday lights. His house is 24 feet tall and he has a flower bed that extends 4 feet out from the side of the house. How long of a ladder will he need to reach the top and be out of the flower bed?
Answer:
24.33 feet
Step-by-step explanation:
The flower bed, the ladder and the house form a right angled triangle where the length of the ladder is the hypotenuse side.
Let L = length of ladder, H = height of house = 24 feet and l = length of flower bed = 4 feet.
Using Pythagoras' theorem,
L² = H² + l²
So, L = √(H² + l²)
substituting the values of the variables, we have
L = √[(24 ft)² + (4 ft)²]
L = √[576 ft² + 16 ft²]
L = √[592 ft²]
L = 24.33 ft
The ladder must be at least 24.33 feet long to reach the top and be out of the flower bed
what is the percent of change from 300,000 to 30,000
Answer:
There is a 90% decrease
Step-by-step explanation:
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!
- •Trix•
( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
Answer:
sorry to answer as I kinda want the points
for me when problem solving it gave me 10%
as I'll show the work and why
Step-by-step explanation:
first dividng the two will make it clear
300,000/30,000
will give you
10 x%
30,000 will make it as 90% since it's 1/10 away from 30,000
300000 is 100% since it is our output value.
so 100% / 300,000
so x% / 30,000
300000(1) = 100%
x% / 30,000(2)
x%/30,00
100%/300,000
Multiply
[tex](2 {x}^{2} + 3x - 7) \times (3 {x}^{2} - 5x + 14[/tex]
Help please no wrong answer
Answer:
3 with the 6 on top
Step-by-step explanation:
can someone solve number 3 plzzzzz
Answer:
ᴅᴏɴᴛ ɢᴏ ᴛᴏ ʙʀᴀɪɴʟʏ.ᴛᴏᴅᴀʏ! ᴛʜᴇʏ ᴡɪʟʟ ʜᴀᴄᴋ ʏᴏᴜ ᴀɴᴅ ꜱᴄᴀᴍ ʏᴏᴜ! ᴍʏ ɢʀᴀɴᴅᴘᴀ ɢᴏᴛ ʜᴀᴄᴋᴇᴅ ʜᴇʀᴇ! ɪᴛ ɪꜱ ᴀ ʙɪɢ ᴘʀᴏꜰᴀɴɪᴛʏ ꜱɪᴛᴇ! ᴛʜᴇʀᴇ ᴀʀᴇ ʙᴏᴛꜱ ᴏɴ ʙʀᴀɪɴʟʏ ᴛʀʏɪɴɢ ᴛᴏ ɢᴇᴛ ʏᴏᴜ ᴛᴏ ᴛʜɪꜱ ᴡᴇʙꜱɪᴛᴇ! ᴅᴏɴᴛ ʟᴇᴛ ᴛʜᴇᴍ ᴡɪɴ! ꜱᴘʀᴇᴀᴅ ᴛʜɪꜱ ᴛᴏ ᴏᴛʜᴇʀ ᴄᴏᴍᴍᴇɴᴛ ꜱᴇᴄᴛɪᴏɴꜱ! ꜱᴘʀᴇᴀᴅ ᴛʜᴇ ᴡᴏʀᴅ!
Step-by-step explanation:
DONT BELIEVE ME?
THEY STOLE $50 FROM MY GRANDPA'S PAYPAL !!!
A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 10 hotdogs and each large pack has 18 hotdogs. The school bought 6 packs of hotdogs that have a total of 76 hotdogs. Write a system of equations that could be used to determine the number of small packs purchased and the number of large packs purchased. Define the variables that you use to write the system.
.
Answer:
S+L=6
10S+18L=76
Step-by-step explanation:
S for small
L for larger
Pls help me !!! I’ll give brainliest!!
Answer:
32
Step-by-step explanation:
please mark me as brainliest
Mr. Gengel wants to make a TV stand with boards that are
2 2/3 feet long. If he has a 24-foot board, how many pieces
can he cut from the big board?
Answer:
Step-by-step explanation:
2 2/3 = 8/3
24 ÷ 8/3
= 9
How do i Simplify 12 to the 16th power over 12 to the 4th power?
Answer:
12^12
Step-by-step explanation:
12^16/12^4 cancel out to the power of 4 on the bottom and on top for an answer of 12^12
What is the rate of change of the graph shown below?
PLS HELP!!!! ^^^
Answer:
[tex]m=\frac{-1}{3}[/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]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (3, 0)
Point (0, 1)
Step 2: Find slope m
Plug in points to find the rate of change of the graph.
Substitute [SF]: [tex]m=\frac{1-0}{0-3}[/tex]Subtract: [tex]m=\frac{1}{-3}[/tex]Rewrite: [tex]m=\frac{-1}{3}[/tex]