Answer:
$204.74
Step-by-step explanation:
At 45% off each battery, the price for 1 battery would be (149.99)*(0.65) = $94.50. Two batteries would be a total of $194.99.
Add 5% tax:
($194.99)(1.05) = $204.74
when each edge of a cube is decreased by 1 cm, its volume is decreased by 91 cm^3 .Find the length of the a side of the original cube.
Step-by-step explanation:
the original side length is x.
the volume of a block is length × width × height.
so, for a cube with all sides being equal, the volume in our case is x³ (x × x × x).
now, with the same formula but with every side shortened by 1 cm we get
(x-1)(x-1)(x-1) = x³ - 91 (the original volume minus 91)
now, we have to do the multiplications.
(x-1)(x-1) = x² - 2x + 1
(x²-2x+1)(x-1) = x³ - x² - 2x² + 2x + x - 1 = x³ -3x² + 3x -1
x³ - 3x² + 3x - 1 = x³ - 91
-3x² + 3x = -90
-x² + x = -30
x² - x = 30
x² - x - 30 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -1
c = -30
x = (1 ± sqrt((-1)² - 4×1×-30))/(2×1) =
= (1 ± sqrt(1 + 120))/2 = (1 ± sqrt(121))/2 =
= (1 ± 11)/2
x1 = (1 + 11)/2 = 12/2 = 6
x2 = (1 - 11)/2 = -10/2 = -5
a negative number does not make any sense for a side length, so our solution is x = 6 cm.
the original side length of the cube is 6 cm.
to check :
6³ = 216
(6-1)³ = 5³ = 125
216 - 125 = 91
perfect.
everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(
Answer:
11. b
10.d
9.c
7.b
1.d
the rest I can't see clearly
please give brainiest
Step-by-step explanation:
11.
3/x-4=7/x
*cross multiply
3x=7 (x-4)
3x=7x-28
28=7x-3x
28=4x
x=7
10.
SOHCAHTOA
Cos☆=11/14
cos^-1 (11/14)
☆=38.21 degrees
9.
MLN CONGRUENT TO WBN
ML/WB=LN/BN=MN/WN
LN/BN=10/6
ML/WB
24/x=10/6
24x6=10x
144÷10
=14.4
6^2+14.4^2
=243.36
squareroot
=15.6
The rectangular model is made up of squares. Each square is of equal size. What percentage of the model is shaded?
Answer:
44.5 percent is shaded.
from whole model, 44.5% is shaded of 100%
What is the length of the sides of kite abcd? ab = 20; cd = 15 ab = 15; cd = 20 ab = 9; cd = 16 ab = 24; cd = 25
The length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.
What is Pythagoras theorem?Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
Let the intersection point of dignoals is O. The figure of the kite ABCD, is attached below. The sides of the kite ABCD, are,
[tex]AO=12\\OB=9\\CO=12\\OD=16[/tex]
In the triangle AOB using the pythagours theorem,
[tex]AB=\sqrt{(AO)^2+(OB)^2}\\AB=\sqrt{(12)^2+(9)^2}\\AB=\sqrt{225}\\AB=15[/tex]
Similarly, in the triangle DOC using the pythagours theorem,
[tex]CD=\sqrt{(CO)^2+(OD)^2}\\CD=\sqrt{(12)^2+(16)^2}\\CD=\sqrt{400}\\CD=20[/tex]
Thus, the length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
Answer:
its B
Step-by-step explanation:
What is the area of this triangle?
y
5
D
4
F
Enter your answer in the box.
3
2
1
E
units2
Answer: 6 units squared.
Step-by-step explanation: The equation for area of a triangle is 1/2 * length of base * the length of the height.
The length of the base is D to E, which is 3 units.
The length of the height is from F to the base of the triangle, which is 4 units.
Therefore, the area of the triangle would be 1/2 * 3 * 4 = 6 units squared.
PLEASE HURRY! (pt 2)
A bag of tokens contains 99 red, 77 green, and 77 blue tokens. What is the probability that a randomly selected token is blue or green? Enter your answer as a fraction.
Answer:
14/23
Step-by-step explanation:
There are 253 tokens in all. Since 77 are blue and 77 are green, the probability of selecting either a blue token or a green token is 154/253, which reduces to 14/23.
Altitude is the height in relation to sea level. Umar walks from a valley to a hilltop. The valley has an altitude of -32 1/2 feet. The hilltop has an altitude of 85 3/4 feet. What is the altitude change from the valley to the hilltop?
Answer:
118.25
Step-by-step explanation:
The interior angle of a regular polygon is 154°, What is
the size of an exterior angle?
Answer: 26 degrees
Step-by-step explanation:
An interior angle and its exterior angle are supplementary.
Mrs.martin's class has 8 boys out of a total of 20 students.which is the ratio of girls to boys in her class?
Answer:
8:20 or if you want it simplified 2:5
Step-by-step explanation:
what is y=-2x+5 as standard form
Answer:
2x + y = 5
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - 2x + 5 ( add 2x to both sides )
2x + y = 5 ← in standard form
Answer:
y=-2x+5 as standard form is 2x+y=5
Use the explicit rule to find a12. an=-2n+8
The explicit rule formula an = -2n + 8 is an arithmetic progression
The value of a11 is -14
How to evaluate the explicit rule?The explicit rule formula is given as:
an = -2n + 8
Substitute 11 for n to calculate a11
a11 = -2 * 11 + 8
Evaluate the product
a11 = -22 + 8
Evaluate the sum
a11 = -14
Hence, the value of a11 is -14
Read more about explicit rules at:
https://brainly.com/question/12119793
integration of csc^2(9x)dx
[tex]\displaystyle \int csc^2(9x) dx \\\\=\dfrac 19\displaystyle \int \csc^2 u ~du~~~~~~~;\left[\text{Let}~u= 9x \implies dx = \dfrac{du}9\right]\\\\=-\dfrac 19 \cot u + C\\\\=-\dfrac 19 \cot(9x)+C[/tex]
I’ll give brainiest to the best solved An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
The volume of a cone is calculated as:
For the small cone, we have the following parameters:
Diameter = 3 inches
Height = 3.5 inches
Diameter = 4.5 inches
Height = 5.1 inches
So, the volume of the large cone is:
Calculate the difference of both volumes
Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
Read more about volumes at:
brainly.com/question/8994737
What is the probability of rolling a sum of 8 with a pair of dice?
Answer:
[tex]\frac{5}{36}[/tex]
Step-by-step explanation:
the total number of possible combinations of rolling two dice is 36 because a side has 6 sides and [tex]6^{2}=36[/tex]
and possible combinations that sum to 8 are
2 and 63 and 54 and 45 and 36 and 2which are 5 possible combinations which gives [tex]\frac{5}{36}[/tex]
write and evaluate an equation or inequality for each situation.
Alexandria has a base pay of $600 increased by her commission (x) totals $740.
the question is in the attachment
Answer:
1 and 7
Step-by-step explanation:
let me know if this is helpful!
Find the derivative of 30x² + 7x at x = 2.
Answer:
127
Step-by-step explanation:
Given :
30x² + 7xOn differentiating,
dy/dx = 2 * 30 * x²⁻¹ + 1 * 7 * x¹⁻¹dy/dx = 60x + 7At x = 2
60(2) + 7120 + 7127First differentiate
d/dx(x^n)=nx^n-1So
[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(30x^2+7x)[/tex]
[tex]\\ \rm\Rrightarrow 60x+7[/tex]
Put x=2
60(2)+7120+7127
[tex]f(x) = 4x + 3[/tex]
[tex]g(x) = 5x - 4[/tex]
[tex]fg(x) = 20x + p[/tex]
Find the value of
[tex]p[/tex]
Let's see
[tex]\\ \rm\rightarrowtail (fog)(x)=f(g(x))[/tex]
[tex]\\ \rm\rightarrowtail f(5x-4)=20x+p[/tex]
[tex]\\ \rm\rightarrowtail 4(5x-4)+3=20x+p[/tex]
[tex]\\ \rm\rightarrowtail 20x-16+3=20x+p[/tex]
[tex]\\ \rm\rightarrowtail -13=p[/tex]
Answer:
[tex]\sf p = -13[/tex]
Step-by-step explanation:
Given functions:
[tex]\sf f(x)=4x+3[/tex]
[tex]\sf g(x)=5x-4[/tex]
[tex]\sf fg(x)=20x+p[/tex]
[tex]\sf fg(x)=f[g(x)][/tex]
This means g(x) is substituted for x in f(x).
[tex]\sf \implies f[g(x)]=4[g(x)]+3[/tex]
[tex]\sf =4(5x-4)+3[/tex]
[tex]\sf= 20x-16+3[/tex]
[tex]\sf =20x-13[/tex]
[tex]\sf f[g(x)]=f[g(x)][/tex]
[tex]\sf \implies 20x+p=20x-13[/tex]
[tex]\sf \implies p=-13[/tex]
The wholesale price desk is $153 a certain furniture store marks up the wholesale price by 38% find the price of the desk in the furniture store . Found ur answer to the nearest cent
Answer:
Step-by-step explanation:
10% = 15.30
40%=61.20
1% = 1.53
2%=3.06
61.20+3.06=64.26
153+ 64.26=217.26
Write1 3/4 as a decimal and as a percent
Answer:
the decimal is 1.75 and The percentage is 175%
Step-by-step explanation:
Not spinning a 5 and flipping tails
Btw the spinner is 1-5
Answer:
Im confused w ur question or i dont know maybe im just dum.b
Step-by-step explanation:
7. (a) A line has the equation y = 6x – 3 and goes through the point (4, a).
Calculate the value of a.
[tex]a = 6(4) - 3 = 24 - 3 = 21[/tex]
Express as in Kg using decimals.
a) 12 g. b) 7 g.
c) 35 kg 15 g. d) 675 g
Answer:
a)0.012 kg
b)0.007kg
c)35.015kg
d)0.675kg
Step-by-step explanation:
please mark me as brainlest
How do you calculate the diameter of a circle
Answer: "How do u calculate the diameter of a circle"?
Step-by-step explanation: Calculating diameter is easy you just need the radius, the circumference, or the area. Even if you don't have any of those dimensions, you can still find the diameter if you have a drawing of the circle.
Select all the numbers that round to 5.6
when rounded to the nearest tenth.
A. 5.058
B. 5.54
C. 5.56
D. 5.58
E. 5.590
Answer:
C, D, and E are the answers.
If year boys built 3/14of an igloo and year 3 girl have built 3/7of the same igloo.How much have they built in all?How much is left? Show your working out?
Answer:
year boy built an igloo =3/4
year3 girl built same igloo=3/7
To find out all together how much have built =3/4+3/7
if we take alceam
4×7=28
in fraction down we need to make 28
so 3/4 we multiply by 7 and 3/7we multiply by 4
3×7/4×7+3×4/7×4=21/28+12/28=21+12/28
33/28
to find out we divide fraction we will know what left .
1,5/28
5is left.
Madison bought b pounds of bananas and p pounds of pears and spent a total of $10.38. The price of bananas is $0.60 per pound. The price of pears is $1.74 per pound.
Create an equation that models the total amount of money that madison spend on fruit
Answer:
10.38 = 0.60b + 1.74p
Step-by-step explanation:
One week a student exercised 3 hours at school and another of an hour at home. If of the student's total exercise came from playing basketball, how much time did the student spend playing basketball that week? Enter your answer in hours; do not include units in your answer.
Answer:
The student spent 48 minutes and 45 seconds playing basketball.
10. Membership to gym A is $40 per month
plus a $60 registration fee. Gym B charges
$55 per month and no registration fee.
After how many months will the
membership cost be the same?
efine the variable, write an equation, and solve
if log7=a and log…
help me solve ths math problem on picture
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log_{4}(39.2) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{4}( {2}^{3} \times {7}^{2} \times 10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{4}( {2}^{3} ) + log_{4}( {7}^{2} ) + log_{4}(10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{ {2}^{2} }( {2}^{3} ) + log_{ {2}^{2} }( {7}^{2} ) + log_{ {2}^{2} }(10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{2} log_{2}(2) + \frac{2}{2} log_{2}(7) - \frac{1}{2} log_{2}(10) [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{2} + a - \frac{b}{2} [/tex]
That's the required result ~
also you can take it's LCM and write it as :
[tex]\qquad \sf \dashrightarrow \: \dfrac{2a - b + 3}{2} [/tex]