Write an equation to solve each problem:
a. What number is 35% of 80?
b. Three fourths of 24 is what number?
Answer:
a. 28
b. 18
Step-by-step explanation:
a. 35% = .35 so .35 * 80 = 28
b. 3/4 = .75 because 3 divided by 4 = .75 so .75 * 24 = 18
A car travel 45km/s on 10 lit of petrol . what is the car's mileage
Answer:
450 milage
Step-by-step explanation:
45 multiple 10
450 milage
The value of a car has decreased by 40% to £24000. How much was it worth before the decrease?
Answer:
£40000
Step-by-step explanation:
→ Set up an equation
x × 0.6 = 24000
→ Divide both sides by 0.6
x = 24000 ÷ 0.6 = 40000
Please help me this math problem!! No Links Please!! Will mark Brainliest if correct!!
Answer:
The vertex form would be y = (x+2)^2
The factored form would be y = (x-2)(x-2)
The standard form would be y = x^2-4x+4
Step-by-step explanation:
To find this, you know that the vertex is 2 left from the center, so you have h = -2, and k = 0 since it isnt shifted up. The graph isn't shifted up either, so a=1.
The vertex form would be: y = a(x-h)^2+k
= (x+2)^2
The factored form would be y = (x-2)(x-2)
The standard form would be y = x^2-4x+4
Your welcome, and comment if you have any questions! :D
The table shows values for functions f(x) and g(x). X f(x)=3x g(x)=2x 1 −2 19 −3 −1 13 −1 0 1 1 1 3 3 2 9 5 What is the solution to f(x)=g(x) ? Select each correct answer. X = −2 x = −1 x = 0 x = 1 x = 2.
By hit and trial of each option and also by graph, solutions to f(x) = 3ˣ and g(x)=2x-1 will be 0 and 1.
given functions are,
[tex]f(x) = 3^x\\\\g(x) = 2x+1[/tex]
let us put x=0
f(0) = 1
g(0) = 1
f(0)=g(0)=1
so 0 will be a solution.
let us put x=1
f(1)= 3
g(1) = 3
f(1)=g(1)=3
so 1 will be also a solution
let us put x=2
f(2) = 9
g(2) = 5
f(2)≠g(2)
so 2 will not be solution.
x=-2 and x=-1 clearly will not be solution because,
g(-2) = negative value but f(x) cannot be negative, being an exponential function.
what is an exponential function?
Any function in form f(x)= pˣ, where p≥1, is called an exponential function.
therefore, solutions to f(x) = g(x) will be 0 and 1.
to get more about exponential function refer to:
https://brainly.com/question/2456547
Help it’s due by Thursday
Answer:
10 is B. 9 is 28.8
Step-by-step explanation:
Find the value of the unknown in the following
Answer:
10
Step-by-step explanation:
According to the Pythagorean theorem
x²=6²+8²=100
x=√100
x=10
Find the area of the parallelogram.
42mm
20 mm
Area =
mm2
Answer:
840
Step-by-step explanation:
b x h = 42 x 20
What is 1/6+1/5 as a fraction
Answer:
The answer is 11/35, Hope this helps!
Stay safe, and have a very nice rest of the day!
Answer:
1 1 5
6÷5=6
Step-by-step explanation:
What is the correct justification for the first step in solving this
equation? 3(x - 4) + 1 = 12x *
-
O Addition Property
O Division Property
O Commutative Property
O Distributitive Property
Answer:
Distributitive Property
Step-by-step explanation:
The correct justification for the first step in solving the provided equation is that the first step should be distributive Property
What is the property of equality?Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.
The equation given in the problem is,
[tex]3(x - 4) + 1 = 12x[/tex]
To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.
This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,
[tex]3x - 3\times4 + 1 = 12x\\3x - 12 + 1 = 12x[/tex]
Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.
Learn more about the property of equality here;
https://brainly.com/question/1601404
13. Claire estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches. Should Claire's or the doctor's measurement be considered the actual height?
Answer:
the doctors should be taken as the actual height because it was measured not estimated.
Mechanic charges $55 for the first hour and $50 for each additional hour how much does he charge if it takes him in four hours to make a repair
Answer:
440$
Step-by-step explanation:
55 x 4=220
50 x 4=200
440$
I hope this is correct if not im sorry
Answer:
$ 205
Step-by-step explanation:
55+50x
x= number of hours minus the first hour (3)
so 55+50(3) = $205
Write an equation in slope-intercept form for the line with y-intercept -1 and slope -4
Answer:
f(x)=-4x-1
Step-by-step explanation:
f(x)=ax+b
a=-4/slope
b=-1/y-intercept
f(x)=-4x-1
find the derivative of f(x)=3x^2+7x-2 for general x
Answer:
[tex]3(x - \frac{ - 7 + \sqrt{73} }{6} )(x - \frac{ - 7 - \sqrt{73} }{6} )[/tex]
Step-by-step explanation:
Here is your answer ☝
how do we divide non divisible numbers??
like 4÷3 or 9÷4
we divide them and keep the quotient as decimals.
=) 4÷3 = 1.33
=) 9÷4 = 2.25
Given: m<1=140degrees, find m<5
A)40
B)90
C)130
D)140
Answer:
D) 140
Step-by-step explanation:
That should be your answer
PLEASE HELP ASAP!!!!
Find the measure of angle x. Round your answer to the nearest hundreth. ( please type the numerical answer only)
Answer:
x=Sin-1(0.470584)
x=28.1°
Step-by-step explanation:
Sin90°/17 =Sin x°/8
0.058823 = Sin x°/8
8(0.058823)=Sin x°
x°=Sin-1(0.470584)
x=28.1°
How to find the unknown constant between two expressions.
Answer:
Step-by-step explanation:
This is called a 'System of equations'.
Say that you have these two expressions, and the unknown is "b".
5b = y
4b+2 = y
Now we can solve two ways; graph it or solve it.
Solving it, we can see that they both equal y, so:
5b=4b+2
move 4b to the left side by subtraction:
(5b-4b) =2
b = 2
let's see what y equals when b = 2
5 * 2 = y
10 = y
Graphing it we see they intersect, or solve at
(2,10) or b=2, y=10
Hope this helps!
Out of all the people surveyed, 710 of them (or 82%) said they wanted more drinking fountains put in. How many people were surveyed?
The percentage shows that number of people that were surveyed is 866.
How to calculate percentageLet the number of people surveyed be x.
Therefore, from the question given and the percentage, the calculation goes thus:
82% × x = 710
0.82x = 710
x = 710/0.82
x = 866
The number of people surveyed is 866.
Learn more about percentages on:
https://brainly.com/question/24304697
Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing a red marble to be 3/15 . What is the probability of not drawing a red marble?
Answer:
12/15
Step-by-step explanation:
If the probability of drawing a read marble is 3/15
Then that would just make the probability of NOT drawing a red marble 12/5
PLS HELP DUE TODAY 11:59
Use the two images of the houses to answer the following questions. Number your answers.
1. Are the lengths of one house proportional to the lengths of the other house? Why or why not?
2. How can you use scale factors to show that the homes are or are not proportional?
3.what role does surface area take in the building of a house
4.what advantages exist for a house with a large amount of surface area exposed to the elements? EXPLAIN
Natalie opened a bank account that earns 2. 5% simple interest. If her account earned $180 over ten years, how much was Natalie's initial deposit when she opened the account?.
The total amount of the initial deposit of Natalie account when she opened the account is $225.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{Prt}{100}[/tex]
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Natalie opened a bank account that earns 2. 5% simple interest.
Natalie's account earned $180 over the period of 10 years. The interest amount she earned is,
[tex]I=\dfrac{Prt}{100}\\I=\dfrac{180\times2.5\times10}{100}\\I=45[/tex]
The interest amount she earned is $45 and the initial amount was $180. Thus, the total amount,
[tex]A=P+I\\A=180+45\\A=225[/tex]
Thus, the total amount of the initial deposit of Natalie account when she opened the account is $225.
Learn more about the simple interest here;
https://brainly.com/question/2294792
find the length of the missing side in the triangle below
give answer to one decimal place :))
The cost of 20⅕ oranges is rs 300,what is the cost of a kg oranges?
Answer:
weight not defined
Step-by-step explanation:
The cost of 20⅕ oranges is rs 300 ,what is the cost of a kg oranges?
HOW ARE WE SUPPOSE TO KNOW THE WEIGHT IF ONLY THE PRICE IS GIVEN
Select the correct statements that correspond to the question. Thank you!
Suppose y varies directly with x, and y = 12 when x = 2. What direct variation
equation relates x and y?
What is the value of y when x = 4?
Answer:
[tex]y=24[/tex]
Step-by-step explanation:
Given:
[tex]y=kx[/tex]
Substitute:
[tex]\left \{ {{y=12} \atop {x=2}} \right.[/tex] into [tex]y=kx[/tex]
[tex]12=k\times2[/tex]
Swap the sides:
[tex]k\times2=12[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]k=\frac{12}{2}[/tex]
Cross out the common factor:
[tex]k=6[/tex]
Find the equation of the function:
[tex]y=6x[/tex]
Substitute:
[tex]y=6\times4[/tex]
Calculate the product or quotient:
[tex]y=24[/tex]
21 plus 4x equal 61 what equal 61
Answer:
x = 10
Step-by-step explanation:
61 - 21 = 40
40 / 4 = 10
x = 10
45 POINTS FOR AWNSER PLS EXPLAIN NUMBER 42
Answer:
Formula for area is length times width
So 2x × x = 2x^2
E. G.
2×2×2=8
And can also be written as 2^3
Meaning 2×2×2
So in this instance x × x=x^2
In front of the length x imagine a 1
So 2×1=2
Therefore 2x^2
Answer:
Area = 2x²
Step-by-step explanation:
Area = L x W
L = 2x
W=x
x*2 =2x
x*x =x²
Area = 2x²
What is the simplified expression for 3^-4 X 2^3 X 3^2
—————————-
2^4 X 3^-3
6sin pi/18 - 8 sin³ pi/18= 1
[tex]sin3( \alpha ) = 3 \sin( \alpha ) - 4 { \sin^{3} ( \alpha ) }[/tex]
[tex]2( 3 \sin( \ \frac{\pi}{18} ) - 4 { \sin^{3} ( \ \frac{\pi}{18} ) })[/tex]
[tex]2(sin3( \ \frac{\pi}{18} ))[/tex]
[tex]2( \sin( \frac{\pi}{6} ) )[/tex]
[tex]2 \times \frac{1}{2 } = 1[/tex]