Answer:
23
Step-by-step explanation:
If the side of a square is increased by 25%, then by how much is its area increased?
Answer:
56.25%Step-by-step explanation:
If a variable X changes by A% and another variable Y changes by B%, then overall net change when the two variables are multiplied is given by :
A + B + AB/100
If the change is “increase” it is positive & if the change is “decrease” it is negative.
In the given question, A = B = 25% ( Both positive as length increase )
And area = Side x Side
Applying our versatile relation :
Net increase in area = 25 + 25 + (25x25)/100 = 56.25%
a
2. During one month, a homeowner used 400 units of electricity and 120 units of gas for a total cost
of $73.60. The next month, 350 units of electricity and 200 units of gas were used for a total cost of
$72. Find the cost of a unit of gas.
Define variables:
Equation:
Equation:
Solution:
Answer:
Step-by-step explanation:
120G + 400E = 73.60
400E = 73.60 - 120G
E = 0.184 - 0.3G
200G + 350E = 72.00
200G + 350(0.184 - 0.3G) = 72.00
200G + 64.4 - 105G = 72.00
95G = 7.60
G = $0.08/unit
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28
[tex] \Large{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
Explanation:We are given a linear equation, and we would like to express it in slope-intercept form.
[tex] \\ [/tex]
[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]
Where:
m is the slope of the line.b is its y-intercept.(x , y) is a point through which the line passes.[tex] \\ [/tex]
Given linear equation:
[tex] \sf 4y - 4x = -28 [/tex]
[tex] \\ [/tex]
To find the slope-intercept form of the equation, we have to solve for y.
First, add 4x to both sides of the equation:
[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]
[tex] \\ [/tex]
Then, divide both sides of the equation by 4:
[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
▪️Learn more about the slope-intercept form here:
↣https://brainly.com/question/26163957
First , Add 4x to both sides :
➱ [tex]\sf{4y-4x=-28}[/tex]
➱ [tex]\sf{4y=-28+4x}[/tex]
Next , Divide all terms by 4 to get y all alone
➱ [tex]\sf{y=-7+x}[/tex]
Rearrange so that our result matches the format for slope - intercept :
➱[tex]\sf{y = x +7}[/tex]
Henceforth, Equation : y = x + 7 .
What is the area of the following circle?
Either enter the exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answer:
25π or 78.5
Step-by-step explanation:
Area of circle = π[tex]r^{2}[/tex]
r = 5
A = π * 5^2
= 25π
= 78.5
f(x)=(1/7)^x then what is f(-3)
Answer:
[tex]f(-3)=343[/tex]
Step-by-step explanation:
[tex]f(x)=(\frac{1}{7} )^x[/tex]
Plug -3 into x and solve using the negative power rule:
[tex]x^{-a}=\frac{1}{x^a}[/tex]
[tex]f(-3)=(\frac{1}{7} )^{-3} \\\\f(-3)=\frac{1}{\frac{1}{7}^3 } \\\\f(-3)=\frac{1}{\frac{1}{343} } \\\\f(-3)=343[/tex]
Sorry, those fractions got very small. Let me know if I need to clarify anything there
How much wax is needed to make one spherical candle?
Answer:
In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!
Step-by-step explanation:
In BCD, BC = DB and mB = 139º. Find mD.
How much time will it take Wilson to finish painting the bookcase? Explain.
Sally Jones had a policy with a $250 deductible which paid 80% of her covered charges less deductible. She had medical expenses of $18,240.00. What is S
Answer
Find out the insurance company's payment .
To proof
Deductible
The deductible is the amount of money you will pay in an insurance claim before the company starts paying you insurance coverage .
As given
Sally Jones had a policy with a $250 deductible which paid 80% of her .covered charges less deductible
She had medical expenses of $18,240.00.
Amount becomes after deducting deductible = $18,240 - $250
= $17990
80 % is written in the decimal form
now 80% of the Amount after deducting deductible
= $ 14392
Therefore $ 14392 is the insurance company's payment .
Remember To Stay In School
Wink Wink
Answer:3,848
Step-by-step explanation:I took the test.
Graph the set of real numbers on a number line. {x|-3 < x and x< 1}
Answer:
9
Step-by-step explanation:
8000000000000
9
0
9
Hi , what is sun helppp pls
Answer: sun are the main light source
Step-by-step explanation:
Answer:
What is sun ?
»The Sun is a star. It is a huge, spinning, glowing sphere of hot gas.Find a polynomial f (x) of degree 4 that has the following zeros.
6 (multiplicity 2), –1, 0
Leave your answer in factored form.
Step-by-step explanation:
The polynomial with given zero's is:
f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)Or simplified:
f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't knowsolve for X
..................................................................................
Answer:
C. 9
Step-by-step explanation:
The measure of a triangle is 180.
Make all the angles equal 180.
50+80+6x-4=180.
Solve.
6x=54
x=9
Answer:
9
Step-by-step explanation:
All triangle angles add up to 180 degrees.
50 + 80 + (6x - 4) = 180
130 + (6x - 4) = 180
-130 -130
6x - 4 = 50
+4 +4
6x = 54
/6 /6
x = 9
calculate the distance of mars to the sun
Answer:
[tex]r=2.28*10^8km[/tex]
Step-by-step explanation:
This assumes you were given the mass of mars to be [tex]6.39*10^2^3kg[/tex] the mass of the sun to be [tex]1.99*10^3^0kg[/tex] and the gravitational force between the two to be [tex]3.72*10^3^5N[/tex].
I used the formula: (G is the gravitational constant [tex]6.67*10^-^1^1[/tex])
[tex]F=G\frac{m_1m_2}{r}[/tex]
and solved for r
[tex]3.72*10^3^5=6.67*10^-^1^1\frac{6.39*10^2^3(1.99*10^3^0)}{r}[/tex]
[tex]r=\frac{8.48*10^4^3}{3.72*10^3^5}[/tex]
[tex]r=2.28*10^8km[/tex]
CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)
Answer:
-1
Step-by-step explanation:
The average rate of change of function f(x) on the interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
We have ...
f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4
f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2
Then the average rate of change is ...
m = (2 -4)/(1 -(-1)) = -2/2 = -1
The average rate of change on the given interval is -1.
Simplify the linear expression.
−2x+3(−5x+1)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's simply the given expression ~
[tex] - 2x + 3( - 5x + 1)[/tex][tex] - 2x - 15x + 3[/tex][tex] - 17x + 3[/tex]F=8
e=0.2
When F=25 find x
Answer:
0.625
Step-by-step explanation:
hope it can help you lovelots
A box has 10 red, 5 blue and 5 yellow balls. Draw 6 balls one by one with replacement. Then calculate the probability that
Answer:
I would say its a 16.5 %
Step-by-step explanation:
39. The area of a triangle A varies jointly as b and h. If A = 225 in- when b = 18 in. and h = 25
in., find A when b = 35 in. and h = 40 in.
37
Answer: B
Step-by-step explanation:
Answer:
700 in^2
Step-by-step explanation:
If A = 225 in- when b = 18 in. and h = 25
225 = 18 * 25 / 2
a = 35 * 40 / 2
a = 700
brainiest to whoever correct
Answer:
y = 138
Step-by-step explanation:
90 + 4x + 3x + 6 = 180
96 + 7x = 180
7x = 84
x = 12
———
3(12) + 6
36 + 6
42
———
180 - 42 = 138
Working alone, Alicia takes 6 hours to record the inventory of the entire shop, while it
takes Monica only 4 hours to do the same job. How long will it take them working
together if Alicia leaves 2 hours early?
Answer:
ten hours for them to get the job done completely without any hesitation.
Step-by-step explanation:
i studied it
Solve the equation for the indicated variable.
8x + y =5, for x
X= [?]
(Simplify your answer.Use integers or fractions for any numbers in the expression.)
Answer:
x = −1/8y + 5/8
Step-by-step explanation:
Step 1: Add -y to both sides.
8x = −y + 5
Step 2: Divide both sides by 8.
8x/8 = −y+5/8
x= −1/8y + 5/8
increase R700 in the ratio 3:2
Answer:
3 over5 multiplied by 320 equals 192
what do I do next???
Answer: You have to get rid of the variables (the x's) so subtract 2x from 2x and 11x then go from there.
Step-by-step explanation:
Answer:
3 and 6
Step-by-step explanation:
11x - 53 = x^2 + 2x - 35
Subtract 11x - 53 on both sides,
0 = x^2 + 2x - 35 - ( 11x - 53 )
= x^2 + 2x - 35 - 11x + 53
= x^2 + 2x - 11x + 53 - 35
0 = x^2 - 9x + 18
x^2 - 9x + 18 = 0
Now this equation need to factorized.
x^2 - 9x + 18 = 0
x^2 - 3x - 6x + 18 = 0
x ( x - 3 ) - 6 ( x - 3 ) = 0
( x - 3 ) ( x - 6 ) = 0
x - 3 = 0
x = 3
x - 6 = 0
x = 6
The solutions to this system are 3 and 6.
How many sides does a polygon have if the sum of the measures of its interior angles is 4,140?
Answer:
25
Step-by-step explanation:
180(s-2)=4140
180s-360=4140
add 360 to both sides
180s=4500
divide both sides by 180
s=25
40 O Wide Mouth You MRW
Solve Multi-step problems Outlevel
Question 2
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls
as Jasmine sold.
How many rolls of wrapping paper did they sell altogether?
Rolls of wrapping paper sold
Carly
Jasmine
?
rolls of wrapping paper
Answer:
54 wrapping papers sold
You need to purchase supplies for an employee appreciation picnic. Your boss gives you the shopping list below and asks that you get the best deal by buying from one grocer, either Quality Groceries or Fresh Market. You call both grocers, and they provide the price information that you put into the table. Which grocer will provide all these picnic supplies for the lowest cost, and what is that cost without sales tax?
Answer:
Hi there, this is what I got but sorry if it is incorrect.
Hamburger Patties Package of 10 $15.50 Package of 8 $12.40
Hot Dogs Package of 12 $6.23 Package of 10 $4.99
Hamburger Buns Package of 8 $3.79 Package of 8 $3.55
Hot Dog Buns Package of 12 $2.75 Package of 8 $2.55
Potato Salad Gallon $4.33 Gallon $5.55
Ice Cream Gallon $7.55 Gallon $6.99
Answer:
its )B
Step-by-step explanation:
What is the slope of the line on the graph?
Answer:
slope: 4/12
Simplified to: 1/3
Negative slope so: -1/3
Y intercept:4
Form: Y=mx+b
Y=-1/3x+4
NEED HELP I DONT REMEBER DIS
Answer:
a. ΔMNK =Δ [tex]PRT[/tex]
b. TR=MN
c. [tex]x=7[/tex]
Step-by-step explanation:
I hope this help you
Salma received 7/9 of the 81 votes cast for class president. How many votes did she receive?
Answer: 63 votes
Step-by-step explanation:
Simply multiply 81 by 7/9 to get the answer, 63 votes.
Hope it helps :) and let me know if you want me to elaborate.
63
Step-by-step explanation:
(7/9) x 81 = 63