Answer:
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
=> 5√3-5√2 × 5√3+5√2
=> 25×3 - 25×2 [(a-b) (a+b) = a²-b²]
=> 75 - 50=> 25
Janice bought an antique clock originally priced at $967 but on sale for 5% off. After 1% sales tax, what was the total cost?
Answer:
927.84
Step-by-step explanation:
The total cost of the antique clock that Janice bought is $927.82 approximately.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we have:
Original price of clock = $967Sale discount = 5% on original price1% sales tax on the discounted priceTotal cost = (discounted price of clock)'s price + sales tax of discounted price.
Let d = discounted price of the clock
Then, we have:
[tex]d = $967 - \text{5\% discount on 967} \\\\d = 967 - \dfrac{967}{100} \times 5 = \$918.65[/tex]
1% sales tax on 'd' will be: [tex]\dfrac{d}{100} \times 1 = \$9.1865 \approx \$9.19[/tex]
Thus, we get:
Total cost of the clock ≈ 918.65 + 9.19 = 927.82 (in dollars)
Thus, the total cost of the antique clock that Janice bought is $927.82 approximately.
Learn more about percent here:
https://brainly.com/question/11549320
A Choir director made a histogram showing his ages of the members in choir which statement about the data in the histogram must be true
Answer:
C) The choir has a total of 100 members
Step-by-step explanation:
Histogram is the graphical representation of data with the use of bars of different heights.
From the histogram attached:
A) Number of people fro 46 to 73 years = 30 + 5 + 15 = 50
Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100
Therefore half of the people are from 46 to 73 years.
Therefore the statement that more than half of the people are from 46 to 73 years is wrong.
B) The histogram shows the number of members between each age range, it does not show the number of male and female members. Hence we cannot determine the number of male and female members.
C) Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100
The choir has a total of 100 members
D) Number of people less than 32 years = 15 + 20 = 35
Therefore the statement that exactly 20 members are less than 32 years is wrong
answer the question for 10 points and brainilest
Answer:
The one at the bottom left. C
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE
Answer:
x = 4, y = -3
Step-by-step explanation:
Find the slope intercept form first (y = mx + b):
the one going down is y = -1/2x - 1 (slope is negative, down 1 over 2, and the y-intercept is at (0, -1) )
the one going up is y = 1/4x - 4 (slope is up 1 over 4, and the y-intercept is at (0, -4)
Convert them into standard form (Ax + By = C):
1st equation: multiply the entirety of both sides by 2 to get rid of the fraction:
2y = -1x -`2
add 1x to both sides: 1x + 2y = -2
2nd equation: multiply the entirety of both sides by 4 to get rid of the fraction:
4y = 1x - 16
subtract 1x from both sides: -1x + 4y = -16
Isolate a variable:
-x + 4y = -16
-x = -4y - 16
x = 4y + 16
Plug that into other equation:
1(4y + 16) + 2y = -2
6y + 16 = -2
6y = -18
y = -3
Substitute y into the isolated equation:
x = 4(-3) + 16
x = -12 + 16
x = 4
Find the value of x and classify the triangle plzzz
Answer:
x=24°
The triangle is an obtuse isosceles triangle
Step-by-step explanation:
This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.
The interior angles of a triangle add up to 180, so let's make an equation.
132+2x=180
Then solve for x
subtract 132 from both sides
2x=48
Divide by 2 on both sides
x=24
HELP ASAP
Find a set of parametric equations for the rectangular equation.
t=7-x
y=1/x
a.x=7+t,y=1/(-t+7)
b.x=t-7,y=-1/(t+7)
c.x=7-t,y=-1/(t-7)
d.x=t-7,y=1/(t+7)
e.7+t,y=1/(t-7)
9514 1404 393
Answer:
c. x = 7-t; y = -1/(t -7)
Step-by-step explanation:
To find the parametric equation for x, use the equation for t and solve for x.
t = 7-x
x = 7 -t . . . . . . add x-t to both sides
__
To find the parametric equation for y, substitute the equation for x.
y = 1/x
y = 1/(7-t)
To make this match the available choices, we need to multiply numerator and denominator by -1.
y = -1/(t -7)
The parametric equations are ...
x = 7 -t; y = -1/(t -7) . . . . . . matches choice C
Answer: it is C
Step-by-step explanation:
d. You can multiply cand 8
by in 1(c + 8) to find
an equivalent expression. True
False
Answer:
i don't think you can (but i could be wrong)
Step-by-step explanation:
my thinking is that since there is still an unknown variable even after you've multiplied that there can't be an equivalent expression
1(c+8)*8
=?
good luck :)
i hope this helps
**please let me know if this was incorrect**
have a nice day!
Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 68 miles. If the two airplanes are 85 miles apart, how far has the eastbound airplane traveled?
Answer:
17 miles
Step-by-step explanation:
85 - 68
17
can someone help me with this please^
Answer:
a) 126degrees
b) 47degrees
Step-by-step explanation:
The sum of two supplementary angles is 180 degrees.
Let the other angle be x
x + 54 = 180
x = 180 - 54
x = 126degrees
The supplement is 126degrees
b) The sum of two complementary angles is 90 degrees.
Let the other angle be y
y + 43 = 90
y = 90 - 43
y = 47degrees
Hence the complement is 47 degrees
Find the rate change
Beth is making fruit saladShe adds 5 grapes for every strawberriesshe uses 12 strawberries, how many grapes will use? Please help me!!
Answer:
She will use 60.
Step-by-step explanation:
12 x 5 = 60
Hope this helps ⭐
Answer:
Hello! Answer: 60
Step-by-step explanation:
If she is using 5 grapes per strawberries then we would do 12 x 5 = 60 and 60 is our answer.
What value of z makes this equation true?
Z+32=73+25
A.
66
B.
67
C.
80
D.
79
Answer:
a
Step-by-step explanation:
73+25=98
66+32=98
1)4/9 ÷ 2/3
2) 5/13 ÷ 7/6
3)13/15 ÷ 9/10
4) 5.2 x 8.5
5) 12.5 x 7.9
6) 0.3 x 11.2
7) 9 ÷ 4.5
8) 5.9 ÷ 0.54
9) 12.9 ÷ 46.5
Solve these question while showing your work.
The graph shows a line and two similar triangles which expression finds the equation of the line?
Answer:c
Step-by-step explanation:
Answer:
hello, sorry i'm late, your answer would be: option b, y/x = 2/3
Step-by-step explanation:
proof:
evaluate show the solution of 14C6 and 15C4
Answer:
Evaluate each expression for a = 4, b = 2, and c = 5.
c − a
Help
Mr. McGill is solving the following problem: 42x=163. Mr. McGill set 2x=3 and got x=32 as his answer. Tell the mistake Mr. McGill made and tell the correct answer.
Answer:
The mistake McGill made was to eliminate 4 and 16 from both sides before solving fro x
Step-by-step explanation:
Given the expression
42x = 163
To get the values of x, we are to divide both sides by the coefficient of x i.e 42 as shown;
42x = 163
42x/42 = 163/42
x = 163/42
x = 3.88
Hence the mistake McGill made was to eliminate 4 and 16 from both sides before solving fro x
13. Connie wants to paint one wall in her living room. Along the wall, she
counted 60 pieces of hardwood that are each 6 cm wide. The wall is 8 feet
tall. Estimate the area of the wall she plans to paint. Round to the nearest
square foot. (1 foot approximately 30 cm)
Answer: Approximately 96 square feet
======================================================
Work Shown:
1 ft = 30 cm
1 ft = (5*6) cm
1 ft = 5*(6 cm)
1 ft = 5*(1 board width)
1 ft = 5 board widths
12*(1 ft) = 12*(5 board widths)
12 ft = 60 board widths
12 ft = 1 full wall length
The wall is 12 feet horizontally across and 8 feet tall, so its estimated area is 12*8 = 96 square feet approximately. This is approximate because of the fact we used the approximation of 1 ft = 30 cm.
Your company plans to invest in a particular project. There is a 35% chance that you will lose $30,000, a 40% chance that you will break even, and a 25% chance that you will make $55,000. Based solely on this information, what should you do?
Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's collection?
A- 12
B- 14
C- 120
D- 140
Answer:
672
Step-by-step explanation:
7×95=665
665+7=672
WILL MAKE BRAINLIST only if you solve this
Answer:
18/18 is fractions
16/16 is fractions
Step-by-step explanation:
18/18x16/16=1
Theres your answer.
I really need someone’s help I don’t remember how to do this
Answer:
3
Step-by-step explanation:
cubed root means _x_x_= the number
so in this case it would be _x_x_=27
and what times what times what equals 27?
3x3x3=27
Find the volume of a sphere with a surface area of 1296 in.
Answer:
V≈4387.14
Step-by-step explanation:
Need help ASAP PLEASE !!!
Answer:
B.(-6,-1)
Step-by-step explanation:
The equation for the speed/distance
of a tornado is s = 93 log(d) + 65.
If the speed is 190 mph, what is the distance?
Step-by-step explanation:
S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado
A) tornado travels 130 miles = d; find S
S = 93 log10(130) + 65
S = 261.6 mph rounds up to 262 mph
Answer:
22 milesStep-by-step explanation:
s = 93 log(d) + 65 and s = 19093 log(d) + 65 = 19093 log(d) = 125log (d) = 125/93log (d) = 1.344 (rounded)d = 10^1.344d = 22 miles (rounded)Consider the system of equations.
3x − y = 5,
2x + 3y = −15
Which value can the first equation be multiplied by to form opposite values on the y-term? A=-3 B= -2 C=2 D=3
The solution to the system of equations is .A= (-5,0) B= (5,0) C= (0,-5) D=(0,5)
Answer:
D and C
Step-by-step explanation:
Given the 2 equations
3x - y = 5 → (1)
2x + 3y = - 15 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate the y- term
9x - 3y = 15 → (3)
Add (2) and (3) term by term to eliminate y
11x + 0 = 0
11x = 0 ⇒ x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (2)
2(0) + 3y = - 15
0 + 3y = - 15
3y = - 15 ( divide both sides by 3 )
y = - 5
solution is (0, - 5 )
Answer:
d and c my guy
Step-by-step explanation:
just did it
help plsss-
it’s not letting me post omh :/
Answer:
20 fl ounce = 1 pt and 4 fl oz
Step-by-step explanation:
We want to convert fluid ounce to pint and fluid ounce
Mathematically;
Mathematically, 1 pint = 16 fluid ounce
Now we can write 20 fluid ounce as;
16 fl ounce + 4 fl ounce
Since 16 fl ounce is a pint, we have it that;
20 fluid ounce is 1 pt 4 fl oz
25 POINTS !!
4
Select the correct answer.
Consider this equalion
sin()
4729
29
If 0 is an angle in quadrant IV, what is the value of cos();
OA.
OB.
4729
29
V377
29
4729
29
377
29
O c.
OD.
Answer:
B
Step-by-step explanation:
Please check my answer !! thank you ⭐️
Find the volume of a cone that has a radius of 14ft and a height of 18.9ft
Answer:
[tex]v = \pi {r}^{2} \frac{h}{3} = 14 \times 14 \times 3.14 \times \frac{18.9}{3} = 3877.272[/tex]
13. The coefficient in 8p + 897 is?
A. 8
B. p
C. =
D. 897
Answer:
the correct answer is A. 8