Answer:
$30.00 -( $8.00 + $21.00) =
$1 left
$1.00
Step-by-step explanation:
FOOD non-Food
$2.50 $6.00
$1.50 $3.00
$4.00 $11.00
SUM $8.00 $20.00
Tax $1.00
The boy have only $1 .
What is percentage?
A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
According to the given question.
The amount of money the boy initially had = $30.00
The amount of money he spent on tickets = $6
Amount of money spent of drink = $2.50
Amount of money spent on cotton candy =$1.50
Amount of money spent on burger = $4
Amount of money spent on souvenir = $3.00
Amount of money spent on shirt = $11.0
Now,
The total money spent on non-food items
= $6 +$3 + $11
= $20
So, the amount paid as a tax for non food items = 5% of $20 = [tex]\frac{5}{100} (20)[/tex]=$1
And,
The total amount spent including tax
= $1 + $20 + $2.50 + $1.50 + $4.00
= $29
Therefore,
The amount of money is left = $30 - $29 = 1
Hence, the boy have only $1.
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of a loaf of brown bread costs R6, how much will 4 halves cost?
Answer:
R12
Step-by-step explanation:
Answer: R12
Explanation:
Cost of 1 loaf = R6
Cost of 4 halves = 6/2×4
= 6 × 2
= R12
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What is the measure of m?
Answer:
√245
Step-by-step explanation:
altitude on hypotenuse theorem:
m^2=7*35
m^2=245
m=√245
prove (sinxsiny-cosxcosy)(sinxsiny+cosxcosy) =sin^2x-cos^2y
Step-by-step explanation:
Recall that [tex]\sin^2x + \cos^2x = 1[/tex]
[tex](\sin x \sin y - \cos x \cos y)(\sin x \sin y + \cos x \cos y)[/tex]
[tex]= \sin^2 x \sin^2 y - \cos^2 x \cos^2 y[/tex]
[tex]= \sin^2 x (1 - \cos^2 y) - \cos^2 x \cos^2 y[/tex]
[tex]= \sin^2 x - \sin^2 x \cos^2y - \cos^2x \cos^2y[/tex]
[tex]= \sin^2x - (\sin^2x + \cos^2x)\cos^2y[/tex]
[tex]= \sin^2x - \cos^2y[/tex]
Find the value of x.
A. 57
B. 72
C. 90
D. 124
Answer:
90
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
105 = 1/2 (120+x)
210 = 120+x
Subtract 120 from each side
210-120 = x
90 =x
The value of Intercepted Arcs x will be 90. so option C is correct.
What is the relation between line perpendicular to chord from the center of circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or
|AC| = |CB|
Angle Formed by Two Chords= 1/2 (Sum of Intercepted Arcs)
105 = 1/2 (120+x)
210 = 120+x
Subtract 120 from each side;
210-120 = x
90 =x
Hence, the value of Intercepted Arcs x will be 90. so option C is correct.
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what is the volume of a cube with a length of a 10cm,
a width of 8cm and a height of 8cm
Answer:
640
Step-by-step explanation:
muntiply all the number length width height
There is a pair of x and y values that make each equation true in this system of equations
{5x + 3y = 8
{4x + 7y = 34
Explain why the same pair of values also make 9x + 10y = 42 true.
Given Equations
5x+3y=8--(1)4x+7y=34--(2)Let it has solution (x,y)
Add both
[tex]\\ \sf\longmapsto 5x+4x+3y+7y=8+34[/tex]
[tex]\\ \sf\longmapsto 9x+10y=42[/tex]
It will also have same solution (x,y)
The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of linear equations is given below.
5x + 3y = 8 ...1
4x + 7y = 34 ...2
From equation 1, then we have
5x + 3y = 8
y = 8/3 - (5/3)x
Put in equation 2, then we have
4x + 7[8/3 - (5/3)x] = 34
12x + 56 - 35x = 102
-23x = 46
x = - 2
Then the value of y is calculated as,
y = 8/3 - (5/3)(-2)
y = 8/3 + 10/3
y = 18 / 3
y = 6
Let's check whether (-2, 6) satisfy the equation 9x + 10y = 42 or not. Then we have
9(-2) + 10(6) = 42
- 18 + 60 = 42
42 = 42
The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.
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Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?
howdy!!
yr answer is the third graph!
Solve the formula for the specific variable
Z=x-y/3
Y=____
Answer:
-3(z-x) = y
Step-by-step explanation:
Z=x-y/3
Solve for y
Subtract x from each side
z-x = x- y/3 -x
z-x = -y/3
Multiply each side by -3
-3(z-x) = -y/3 * -3
-3(z-x) = y
a mens clothing sore sold out of $50 jackets and $30 jackets for a total of $2360 if the store sold 12 more$30 jackets than$50 jackets how many$50 jackets were sold
Answer:
25
Step-by-step explanation:
Let x represent the number of $50 jackets that were sold, and let y represent how many $30 jackets were sold.
50x + 30y = 2360
y = x + 12
Solve by substitution by substituting the second equation into the first one. Then, solve for x:
50x + 30y = 2360
50x + 30(x + 12) = 2360
50x + 30x + 360 = 2360
80x + 360 = 2360
80x = 2000
x = 25
So, 25 $50 jackets were sold.
It looks like there is an error on this statement. Please take 15% off of this $123.00 bill.
The 15 percent-off $123 or 15 percent discount for a item in which the original price is $123 is: $18.45
15 percent-off $123Using this formula
Amount = Original Price x Discount
Let plug in the formula
Amount= 123 x 15 / 100
Amount = 1845 / 100
Amount = $18.45
Inconclusion the 15 percent-off $123 is $18.45.
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A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents. The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces. What is the value of the test statistic
Answer:
The value of the test statistic is 59.75.
Step-by-step explanation:
The test statistic for the population standard deviation is:
[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]
In which n is the sample size, [tex]\sigma_0[/tex] is the value tested and s is the sample standard deviation.
A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents.
This means that [tex]n = 45, s^2 = 1.1[/tex]
The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces.
0.9 is the value tested, so [tex]\sigma_0 = 0.9, \sigma_0^2 = 0.81[/tex]
What is the value of the test statistic
[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]
[tex]\chi^2 = \frac{44}{0.81}1.1 = 59.75[/tex]
The value of the test statistic is 59.75.
Can someone help please
Step-by-step explanation:
a) The volume of the prism is
[tex]V = (n^2 - 1)×(n^2 - 1)×(5n)[/tex]
[tex]\:\:\:\:= (n^4 - 2n^2 + 1)(5n)[/tex]
[tex]\:\:\:\:=5n^5 - 10n^3 + 5n[/tex]
b) If the dimensions L of the prism are tripled, the new volume will be
[tex]V' = (3L)^3 = 27L^3 = 27V[/tex]
so it will increase by a factor of 27.
Multiply the binomials. ( 7 x − 12 ) ( 9 x − 8 )
I hope this helps :]
63x2−164x+96
Answer:
63x² - 164x + 96
Step-by-step explanation:
Use the FOIL method:
7x · 9x = 63x²
7x · -8 = -56x
9x · -12 = -108x
-12 · -8 = 96
63x² - 56x - 108x + 96
63x² - 164x + 96
The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?Shown working out please
Let numbers be x and y
ATQ
x+y=49---(1)x-y=9---(2)Adding both
[tex]\\ \sf\longmapsto 2x=58[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{58}{2}[/tex]
[tex]\\ \sf\longmapsto x=29[/tex]
Now putting value in eq(2)
[tex]\\ \sf\longmapsto x-y=9[/tex]
[tex]\\ \sf\longmapsto 29-9=y[/tex]
[tex]\\ \sf\longmapsto y=20[/tex]
QUE
The angle of depression of a banana from the monkey on the tree
25m high is 560. Calculate the distance of the banana from the
foot of the tree
and ton xamples of each
9514 1404 393
Answer:
16.9 m
Step-by-step explanation:
Angle BMT in the attached diagram is the complement of the angle of depression, so is 90° -56° = 34°. The distance BT is the side of the triangle opposite this angle, and the given tree height TM = 25 is the side of the triangle adjacent to the angle. Then the relevant trig relation is ...
Tan = Opposite/Adjacent
Opposite = Adjacent × Tan
BT = (25 m)·tan(34°) ≈ 16.863 m
The banana is about 16.9 meters from the tree.
What is the equation of the graph below?
Answer:
f(x)=5cos(1/3x) this is an equation
5.
The width of a rectangle is one foot more than a third of the length. If the
perimeter is 42 feet, what is the width? What is the length?
If f(x) =3x-2 and g(x) = 2x+1, find (f+g) (x)
Answer:
3x-2+2x+1+X
3x+2x+x-2+1
6x-1
Please figure this out and find the measure
Answer: ME
Step-by-step explanation:
Answer:
166
Step-by-step explanation:
Since the lines are parallel, A=B. 7x+40=3x+112, 4x=72, x=18. A=166
Find the area of the figure.
A =
Is it m, m2, or m3
Answer:
348 m^2
Step-by-step explanation:
The figure is made up of a rectangle 24 m by 12 m, and a triangle with a 24 m base and a 5 m height.
A = LW + bh/2
A = 24 m * 12 m + (24 m)(5 m)/2
A = 288 m^2 + 60 m^2
A = 348 m^2
Can some help with the answer please it’s very much needed and apprIeciated
Answer:
Step-by-step explanation:
4x + 8 + 3(x - 2) + 3x ,combining liked terms
Answer:
4x+8 +3x - 6 + 3x
10x + 8 - 6
10x + 2
Which expression corresponds to this graph?
Answer:
C
Step-by-step explanation:
The expression is x>55 and 55 isn't included
Answer:
c
Step-by-step explanation:
Solve for x: 2x – 1] + 5 < 13 please send help
Answer:
Step-by-step explanation:
2|x-1|+5 < 13
2|x-1| < 8
|x-1| < 4
-4 < x-1 < 4
-3 < x < 5
Algebra II Part 1
On your paper, graph these coordinates:
(-1, 1), (-5, 2)
Type the correct equation of the line.
Note: Do not use fractions in your answer.
Answer:
4y+x-3=0
Step-by-step explanation:
The equation is y=mx+b
1) Use the coordinates from the first point
(-1,1)
1= -m+b
2) Use the coordinates frm the second point
(-5,2) (y=mx+b, use x=-5, y=2)
2=-5m+b
You have the system of equations
1=-m+b (multiply by -1) -1= m-b
2=-5m+b
Add the first equation (multiplied by -1) and the second one
-1+2= m-b-5m+b
1= -4m
m=-0.25
2=1.25+b
b=0.75
y=-0.25x+0.75
4y= -x+3
4y+x-3=0
There are 10 black balls and 15 red balls in the urn. If you take out a ball, what is the probability that it is black?
Answer:
nfngkfngmnfjf jvfjkfntfknddjhdhdbdbdb
Answer:
2/5
Step-by-step explanation:
P(black)=10/25=2/5
the cost of using 19 hcf of water is $36.48 and the cost of using 32 hcf is 56.63 what is the cost of using 28 hcf of water?
Answer:
$54.32
Step-by-step explanation:
19=$36.48/19 =1.94
1=$1.94 * 28= 54.32
28=54.32
Evaluate x^-2 (x = -3)
Hey there!
[tex]\mathsf{x^{-2}}[/tex]
[tex]\mathsf{= -3^{-2}}[/tex]
[tex]\mathsf{= -1 \times 3^{-2}}[/tex]
[tex]\mathsf{3^{-2}}[/tex]
[tex]\mathsf{= \dfrac{1}{3\times3}}[/tex]
[tex]\mathsf{= -1 \times \dfrac{1}{3\times3}}[/tex]
[tex]\mathsf{= -\dfrac{1}{3\times3}}[/tex]
[tex]\mathsf{3\times 3}[/tex]
[tex]\mathsf{= 3^2}[/tex]
[tex]\mathsf{= - \dfrac{1}{3^2}}[/tex]
[tex]\mathsf{3^2}[/tex]
[tex]\mathsf{= 3 \times 3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\mathsf{-\bf \dfrac{1}{9}}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: }\boxed{\bf - \dfrac{1}{9}}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
7 (w+8) = 2w+10
What is the value of w makes the equation true? Enter the answer in the box.
Test.mapnwea.org.
Answer:
w = -46/5
Step-by-step explanation:
Answer:
w=-9.2
Step-by-step explanation:
7(w+8)=2w+10
7w+56=2w+10
7w-2w=10-56
5w=-46
w=-9.2
Find the diameter of a circle if the area is
153.86m2. Use 3.14 for pi.
Answer:
-Hello Fatema!
The formula to find out the area of a circle is πd so let's plug the known values and then solve for d [ diameter ] :[tex] \boxed{ \large{ \tt{✺ \: AREA \: OF \: A \: CIRCLE = \pi \: d }}}[/tex]
[tex] \large{ \tt{⟶ \: 153.86 = 3.14 \: d}}[/tex]
[tex] \large{ \tt{⟶ \: d = \frac{153.86}{3.14} }}[/tex]
[tex] \large{ \tt{⟶d = 49 \: m}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤿ \: OUR \: FINAL \: ANSWER : \: 49 \: m}}}}[/tex]
Yayy! We're done! Let me know if you have any questions regarding my answer and also , notify me if you need any other help! :)