Answer:
1394
Step-by-step explanation:
Set up equation to find the number:
Variable n = number
65/100 = 1105/n
Cross multiply:
65 × n = 100 × 1105
65n = 110,500
n = 1700
Check your work:
1700 × 65%
Convert percentage into decimal:
1700 × 0.65
1105
Correct!
Find 82% of 1700:
Variable x = 82% of 1700
82/100 = x/1700
82 × 1700 = 100 × x
139,400 = 100x
1394 = x
Check your work:
1700 × 82%
1700 × 0.82
1394
Correct!
The 82% of the original number (1700) is approximately 1394.
Let's denote the original number as N. We know that 65% of N is equal to 1105. We can write this as:
65% of N = 0.65 * N = 1105
Now, to find the value of N, we can rearrange the equation to solve for N:
N = 1105 / 0.65
Now, calculate the value of N:
N ≈ 1700
So, the original number N is approximately 1700.
Next, we need to find 82% of this number. We can express this as:
82% of N = 0.82 * N
Now, substitute the value of N:
82% of 1700 = 0.82 * 1700
≈ 1394
Thus, 82% of the original number (1700) is approximately 1394.
To summarize, first, we found the value of the original number (N) using the given information that 65% of N is equal to 1105. Then, we calculated 82% of N, which turned out to be approximately 1394.
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What is the sum of this series?
write an example of a monomial of degrees 5
Answer:
find the value of:Cos = 0.54
The radius of the large sphere is times longer than the radius of the small sphere.
How many times the volume of the large sphere is the volume of the small sphere?
Help! Help! Help! Please!
Answer:
A. ¹/27
Step-by-step explanation:
✔️Volume of large sphere = ⁴/3πr³
r = 18.6 in.
Volume of large square = ⁴/3*π*18.6³ = 26954.26 in.³
✔️Volume of small sphere = ⁴/3πr³
r = 6.2 in.
Volume of small sphere = ⁴/3*π*6.2³ = 998.31 in.³
✔️Ratio of the volume of the smaller sphere to the larger sphere = 998.31 : 26954.26
= 1 : 27
Therefore, the volume of the large sphere is ¹/27 of the volume of the small sphere.
Arturo's goal is to find a job that provides an income of at least $60,000 a year. Kristen's Furniture offers him a job paying a base salary of $14,000 a year, plus a commission of 7% of his sales. Determine what Arturo's total sales will need to be for him to have a yearly income greater than or equal to $60,000.
If Arturo takes the job with Kristen's Furniture, he will need to have at least
$
in total sales to have a yearly income greater than or equal to $60,000 per year.
Answer:
He will need at least 657,142.86
Step-by-step explanation:
Determine how much commission he needs
60000-14000
46000
Commission is 7%
Let x be the sales
x*7% = 46000
x*.07 = 46000
Divide each side by .07
x = 46000/.07
x =657142.85714
Rounding to the nearest cent
x = 657,142.86
Given that x= –1/2 and y = 4 , evaluate 3x²y + xy²
Answer:
-5
Step-by-step explanation:
3x²y + xy²
Let x = -1/2 and y = 4
3(-1/2)^2 (4) + (-1/2) (4)^2
Exponents first
3(1/4) (4) + (-1/2) 16
Multiply
3 - 8
Subtract
-5
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]
Step-by-step explanation: simplify it [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex] evalute [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]
What is the slope of the line y = 1/2-x+4?
Answer:
1/2
Step-by-step explanation:
coefficient of x
Answer:
The answer above me is correct, the slope is 1/2.
Step-by-step explanation:
It is the coefficient of x.
Bruno is 4.5 times as old as Charles if Bruno is 27 how old is Charles
Answer:
6
Step-by-step explanation:
Bruno(B)= 4.5× Charles(C)
Answer:
Charles is 6
Step-by-step explanation:
Bruno = B
Charles = C
B = 4.5C
27 = 4.5C
---- -------
4.5 4.5
6 = C
The answer is 6.
Which table represents a linear function?
X
1
1
у
5
10
15
| | | |-
1
4
20
25
5
Answer:
x is the linear function table
the numbers written in rectangles are the products of the numbers in connecting circle. Please solve it fast its urgent
Answer:
It is the third one
Step-by-step explanation:
c
If one angle of a triangle is 60°and the ratio of other two is 1:3,find all the angles and the ratio of the sides.
Answer:
30, 90
1 : √3 : 2
Step-by-step explanation:
let the smaller angle be x
hence, the other angle = 3x
180-60=4x
4x = 120
x = 120/4 = 30
other angle = 3(30) = 90
the triangle is a 30-60-90 triangle,
hence the ratio of the sides are 1:√3:2
( short leg : long leg : hypotenuse )
Find the measure of 2
Answer:
92
Step-by-step explanation:
Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel
Answer:
[tex]\angle 2=92^{\circ}[/tex]
Step-by-step explanation:
When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.
In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:
[tex]\angle 2=\boxed{92^{\circ}}[/tex]
Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answer:
The probability that Chang gets dressed with a white shirt and tan pants is 25%.
Step-by-step explanation:
Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:
Each shirt = 50% chance
Each pants = 50% chance
0.50 x 0.50 = X
0.25 = X
Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.
what is the solution to this?
Answer:
x = -3,y = 2
Step-by-step explanation:
3x-2y = -13
4x-3y = -18
~~~~~~~~~~~~~~~~
9x -6y = -39
-8x+6y = 36
x = -3
-12 -3y = -18
-3y = -6
y = 2
Independent Practice
Find the number of solutions of the equation.
0 = x2 + 2x + 9
A.
3
B.
2
C.
1
D.
0
Answer:
Option D
Step-by-step explanation:
There are no real solution for the given equation
Answered by GAUTHMATH
determine the equation of a line that goes through (-1,2) and (7,2)
Answer:
Step-by-step explanation:
To evaluate such, the following must be comprehended:
Slope: Rise/Run.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:
m = (y2 - y1) / (x2 - x1)
Points utilized or given: (-1, 2) and (7, 2).
2 - 2 / 7 + 1 = 0/8 ==> 0
Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).
Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:
Point-Slope Formula:
Y- y1 = m(x - x1)
Y - 2 = 0(x - 7)
Y - 2 = 0
Y = 2
Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).
*I hope this helps.
the value of [{(6to the power 2+8 to the power 2)to the power 1/2}]to the power 3
Answer:
Step-by-step explanation:
[tex][(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000[/tex]
Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.
{-7, -6, -5, -4}
{7, 8, 9, 10}
{0, 1, 2, 3}
Answer:
{-7,-6,-5,-4}
Step-by-step explanation:
Answer:
thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know
Step-by-step explanation:
The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where r represents the number of roses, l represents the number of lilies, and c represents the number of carnations?
Answer:
Roses 2.70, Lillies 2.45, Carnations 1.60
simplify negative 3 / 8 divided by negative 5 / 6
Answer:
9/20
Step-by-step explanation:
1. 3/8 / 5/6
2. 9/20
Answer:
[tex] \sf \: \frac{9}{20} [/tex]
Step-by-step explanation:
Given problem,
[tex] \sf \rightarrow \: \frac{ - 3 }{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]
[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \times \frac{ - 6}{ \: 5} [/tex]
[tex] \sf \rightarrow \: \frac{( - 3 \times - 6)}{(8 \times 5)} [/tex]
[tex] \sf \rightarrow \: \frac{18}{40} = \frac{9}{20} [/tex]
Hence, the answer is 9/20.
Identify the domain of a radical function with an odd index.
Answer:
A odd index can go to " - infinity "
Step-by-step explanation:
Using trig to solve for missing angles
Answer:
0.9⁰
Step-by-step explanation:
let unknown angle be x
sin x=47/60
sin x=0.783333
x=sin(inverse) 0.7833333
x=0.9⁰
25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?
Answer:
25 -(.3*25)
25-7.50 = $17.50
Step-by-step explanation:
Answer:
17.50
Step-by-step explanation:
First find the amount of the discount
25 * 30%
25 * .3
7.5
Subtract this from the original amount
25 - 7.5
17.50
find the perimeter of the figure
Answer:
72cm
Step-by-step explanation:
We have 4/6 sides. 4 of them are given, and they are 13.25cm, 7.25cm, 7.75cm, and 22.75cm.
The perimeter is found when you add all the lengths of the sides of a figure.
So far, we can add 13.25+7.25+7.75+22.75 = 51cm.
Let's call the first ungiven side A. We can see that 7.75cm + A = 13.25cm. Using this, we can figure out that A = 13.25-7.75 = 5.5cm.
We can call the second ungiven side B. We see that 7.25cm + B = 22.75cm. So, B = 22.75-7.25 = 15.5cm.
Now, let's add everything together. 51cm + A + B = Perimeter. 51cm + 5.5cm + 15.5cm = 72cm.
Hope this helps! Feel free to ask any questions if this doesn't make sense. :)
SOMEONE HELP ME PLEASE
Answer:
1/36
Step-by-step explanation:
There are 6 possible outcomes 1,2,3,4,5,6
P(1) = number of outcomes that equal1 / total
=1/6
Roll again
P(1) = 1/6
These are independent events so we can multiply the probabilities
P(1 roll again 1) = 1/6 * 1/6 = 1/ 36
A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race?
Answer:
From first Newton's equation of motion:
[tex]{ \bf{v = u + at}}[/tex]
Substitute the variables:
[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]
Acceleration is 2 ms-²
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.
What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?
$60
$80
$90
$100
Answer:
80
Step-by-step explanation:
I = Prt
I = 40 R = .10 T = 5
40 = P (.10)(5)
40 = P(.5)
Divide each side by .5
40/.5 = .5P/.5
80 = P
The interest over 5 years is $80.
The correct option is B.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.
We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:
40 = P(0.10)(5)
Simplifying:
40 = 0.5P
Dividing both sides by 0.5:
P = 80
Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.
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What is the equation of the line through the point (2, 3) with slope -2?
Answer:
y=-2x+7
Step-by-step explanation:
Try plotting the points on desmos. Then use the slope to find the y value.
PLS DO THIS ASAP
no links
Answer:
SPEED ANSWER!!!!
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD!!!!!!!!!!Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
Find the value of x given in the right triangle
Answer: 7.1 units
Step-by-step explanation:
Using Pythagorean theory, c^2 - a^2 = b^2
We know c= 10
We know a=7
We are looking for b
10^2 - 7^2 = b^2
51= b^2
Take square root of both sides
7.1=b
