40 bags of 24 nails in the box
Answer:
Step-by-step explanation:
you divide 960 by 24 and you will have 40 so you will have 40 nails. :0
8. Ethan earns $13 per hour at his341job. Last week he workedhours. How much did he earn lastweek?A $13.75C $445.25B $442.00D $448.50
To solve the exercise, first it is convenient to convert the mixed number to decimal:
[tex]34\frac{1}{2}=34+\frac{1}{2}=34+0.5=34.5[/tex]Now, you can use a rule of three:
[tex]\begin{gathered} 1\text{ hour}\rightarrow\text{\$13} \\ 34.5\text{ hours}\rightarrow\text{\$x} \end{gathered}[/tex][tex]\begin{gathered} x=\frac{34.5\text{ hours }\cdot\text{ \$13}}{1\text{ hour}} \\ x=\frac{34.5\cdot\text{ \$13}}{1} \\ x=34.5\cdot\text{ \$13} \\ x=\text{ \$}448.5 \end{gathered}[/tex]Therefore, Ethan did earn $ 448.50 last week.
A small television cost $120, the sales tax is 6.5%. What is the total cost of the television? * Your answer
∵ The cost of the television = 120 dollars
∵ The sale tax = 6.5%
→ Find at first the value of tax by multiplying 6.5% by 120
∵ 6.5% = 6.5/100 = 0.065
∴ The tax = 0.065 x 120 = 7.8 dollars
→ Add the tax to the cost to find the total cost
∵ The tota
What is the equation of the line that passes through the point (-8,-8)(−8,−8) and has a slope of 22?
The slope intercept form of the required line is 2x - y = -8
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Slope of the line = 2
The line passes through (-8, -8)
Equation of the required line-
[tex]y - (-8)= 2(x - (-8))\\y + 8 = 2(x + 8)\\y + 8 = 2x + 16\\2x - y = 8 -16\\2x - y = -8[/tex]
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An item is regularly priced at $29. Jane bought it at a discount of 55% off the regular price.  how much did Jane pay?
Answer:
Jane payed $15.95 for the item.
Step-by-step explanation:
55% as a decimal is 0.55
You can multiply 0.55, or get 55%, of 29.
0.55x29 = 15.95
Now you have your answer!
Find the equation of a straight line passing through the points (1, 1) and (2, -1)
The equation of a line with slope a and y-intercept b can be expressed in the for y = ax + b.
For a line passing through the points (1,1) and (2,-1), its slope is given by:
[tex]a=\frac{(-1)-1}{2-1}=-2[/tex]To find the intercept, we can just replace x and y by one of the given pairs of coordinates:
[tex]\begin{gathered} y=-2x+b \\ 1=(-2)\cdot1+b \\ b=1+2 \\ b=3 \end{gathered}[/tex]Therefore, the equation of the line is y = -2x + 3
Find the length of RP given the coordinates R (5,8) and P (3,6).m:Il m:Im:RP:
2nd Question)
1) Considering that this is a line segment R(5,8) and P(3,6). Let's find out the distance between those points using the distance formula, derived from the Pythagorean Theorem:
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)} \\ d=\sqrt[]{(3-5)^2+(6-8)^2} \\ d=2\sqrt[]{2}\approx2.82 \end{gathered}[/tex]2) Let's now find the slope between those points, making use of the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{6-8}{3-5}=\frac{-2}{-2}=1[/tex]The next step is to fill in the table, so:
m: 1
Parallel slopes are identical so we can state:
║m = 1
Perpendicula
Please help! I need explanation on why the answer is what it is.
Answer:
The answer is C.
Step-by-step explanation:
y=mx+b
m represents slope
b represents the y-intercept
In the problem, it is asking you to make an equation just plug it in!
y=3x-1
Hope this helps!
the altitude of a triangle is increasing at a rate of 1 1 centimeters/minute while the area of the triangle is increasing at a rate of 4 4 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 10.5 10.5 centimeters and the area is 90 90 square centimeters?
Answer:
-128/147 cm/min
Step-by-step explanation:
[tex]A=\frac{1}{2}bh \\ \\ 90=\frac{1}{2}(10.5)b \\ \\ b=\frac{120}{7} \\ \\ \\ A=\frac{1}{2} bh \\ \\ \implies \frac{dA}{dt}=\frac{b}{2} \frac{dh}{dt}+\frac{h}{2} \frac{db}{dt} \\ \\ 4=\frac{21}{4}+\frac{db}{dt}+\frac{60}{7} \\ \\ \frac{db}{dt}=-\frac{128}{147}[/tex]
how do I find the value of xfor the following triangles
Given at the figure 1
A right triangle of legs of 10 and 16
We need to find the angle x
The side of 16 represent the opposite side of the angle x
The side of 10 represents the adjacent side of the angle x
According to the known sides, we can find x using tan function :
So,
[tex]\begin{gathered} \tan x=\frac{opposite}{adjacent} \\ \\ \tan x=\frac{16}{10}=1.6 \\ \\ x=\tan ^{-1}1.6=57.995 \end{gathered}[/tex]Rounding to the nearest degree
So, the measure of angle x = 58
I dont really understand this. (10th grade math)
Answer:
Angle 1: 56 degrees
Angles 2: 56 degrees
Angles 3: 74 degrees
Step-by-step explanation:
triangles angles added up equal 180
So we add the 2 angles in the first triangle to find angle 1
58+66
124
Then subtract by 180
180-124
56
Angle 1 is 56 degrees
angles 2 is also 56 degrees since they are corresponding angles
Now we know 2 angles of the second triangle and to find angle 3 we add the 2 angles
56+50=106
And subtract by 180
180-106
74
Angles 3 is 74 degrees
Hopes this helps please mark brainliest
(c-d2) = 7d (if c = 11 and d = 5)
on a number line, which rational number is between 23.07 and 24.11
C) 24.10
1) Considering that rational numbers are any number that can be written as a ratio.
The number 23.07 is the same as 2307/100 and
The number 24.11 is the same as 2411/100
If we take the number line, we have a rational number 24.10 between those.
Because 24.10 can be written as 2410/100
Show work please!
29) Write two expressions that are equivalent to model below.
30)Write two expressions that are equivalent to the model below.
31) Write an expression to represent the model below.
32) One cotton candy at the rodeo cost $5.25. When 4 friends purchases cotton candy, the expression 5.25(4) can be used to determine the total cost. What other expression can be used to determine the total cost?
29. The two equivalent expressions for the models are: 3x - 6 and 3(x - 2).
30. 2x + 2 and 2(x + 1).
31. 36x.
32. Another expression for the total cost is: 4(5.25).
What are Equivalent Expressions?Expressions are said to be equivalent expressions when both of them have identical terms, or both gives the same value if the values of the variables in both expressions are plugged in.
29. In the model, we have 3 x's, which is: x + x + x = 3x.
We also have 6 "-1". Which is: 6 × -1 = -6.
An expression for the model would be: 3x - 6
It can also be rewritten as: 3(x - 2).
The two equivalent expressions are: 3x - 6 and 3(x - 2).
30. We have, 2x - 4 + 6 = 2x + 2
It can be rewritten as 2(x + 1).
The two equivalent expressions are: 2x + 2 and 2(x + 1).
31. Let each of the shapes be represented as x. They are 36 in number. Therefore, an expression for the model would be 36x.
32. Another expression that can be used to determine the total cost is: 4(5.25).
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Determine if the proportion is true 1/2= 3/4 Proportion is true Proportion is not true
K:
1/2 and 3/4 are NOT equivalent.
If you divide 1 by 2, the result is 0.5
If you divide 3 by 4, the result is 0.75
Therefore, they are NOT equivalent
1/2 and 2/4 are equivalent:
If you divide 1 by 2, the result is 0.5
If you divide 2 by 4, the result is also 0.5
Now, you can answer the question.
Which of the following points are on the line given by the equation y=2x
A. (1,3)
B. (5,10)
C. (4,6)
D. (3,6)
E. (16,8)
F. (4,2)
Answer:
Step-by-step explanation:
The answer is B because if you multiply 5 by 2 it equals 10.
The answer could also be D because if you multiply 3 by 2 it equals 6.
29.What is the surface area of the cone?90 cm²1207 cm²12 cm5 cm
Given:
The cone with height(h) 12 cm and radius(r) 5 cm.
Required:
What is the surface area of the cone?
Explanation:
The formula required to calculate surface area of cone:
[tex]\begin{gathered} SA=\pi r(r+\sqrt{h^2+r^2}) \\ Where, \\ r(Radius) \\ h(Height) \end{gathered}[/tex]We have radius(r) = 5 cm and height(h) = 12 cm.
So,
[tex]\begin{gathered} SA=\pi\times5\times(5+\sqrt{12^2+5^2}) \\ SA=\pi\times5\times(5+\sqrt{169}) \\ SA=\pi\times5\times(5+13) \\ SA=\pi\times5\times18 \\ SA=90\pi cm^2 \end{gathered}[/tex]pinpoint a the diameter is 12 CD is 8 and MCD is 90 find each measure round to the nearest hundred
The value of mDE =45, F.D=4, A.F=8
A circle is a spherical shape that lacks corners and edges. A circle is a two-dimensional, closed curved shape.
Given that diameter is 12 cd =8 and mcd =90
We have to find mDE =?, F.D, A.F
From the given diagram
Diameter = BE = 12
CD =8 so C.F=D.F=4
Let EF = x then B.F =12- x
BY properties of circle C.F × FD = B.F x EF
4 x 4 = x(12-x)
X2 – 12x + 16 =0
Because BE is the diameter and CD is the perpendicular, we can conclude that arcs CE and DE are equal.
arc(CD) = arc(CE) + arc(DE)
90 = 2.arc(CE)
arc(CE) = 45 = arc(DE)
A.F= 12 – 4 =8
Therefore the value of mDE =45, F.D=4, A.F=8
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Answer:
The value of mDE =45, F.D=4, A.F=8
A circle is a spherical shape that lacks corners and edges. A circle is a two-dimensional, closed curved shape.
Step-by-step explanation:
Which is the correct equation needed to solve for x.
Responses
10x−10=8x
10x−10=90
and 8x=90
10x−10+8x=180
10x−10+8x=90
Answer:
(a) 10x -10 = 8x
Step-by-step explanation:
Given the lengths of corresponding sides in congruent triangles are 10x-10 and 8x, you want to know the correct equation needed to solve for x.
CPCTCCorresponding parts of congruent triangles are congruent, so the corresponding sides (10x -10) and (8x) are the same length. The equation that expresses this relationship is useful for finding the value of x:
10x -10 = 8x
__
Additional comment
The nature of the answer choices suggests that the values (10x-10) and (8x) could be considered to be the measures of the right angles. These two equations would give different values of x.
We interpret the figure as showing these expressions represent the lengths of the segments opposite the marked acute angles.
Can someone please tell and show me the steps on how to do this I need help
Answer:
(2,3)
Step-by-step explanation:
-3x-2y=-12
y=5x-7
according to the second equation y is equal to 5x-7 so we enter that into the first equation for y
-3x-2(5x-7)= -12
-3x-10x+14= -12
-13x+14= -12
-14. -14
-13x= -26
/-13. /-13
x= 2
now we know x is 2 we fill in x in any of these equations to find y but i will use the second equation
y=5(2)-7
y=10-7
y=3
now we write it as an ordered pair (x,y)
(2,3)
hopes this helps please mark brainliest
Aline has a slope of 2, and passes through the point (6,8). Determine which equation in slope intercept form) represents this line.
the equation is of the form y = mx + b, where m = 2, then
for b:
[tex]\begin{gathered} y=mx+b \\ 8=2(6)+b \\ 8=12+b \\ 8-12=12+b-12 \\ b=-4 \end{gathered}[/tex]equation is
[tex]y=2x-4[/tex]answer: C.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
What is the sum of -12, 5, and -10?
0-27
0-17
O 17
O 27
Answer:
The answer is -17
Step-by-step explanation:
Add all the numbers together:
-12-10 is -22
Then -22+5= -17
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
Please help! Help is much appreciated. I think I already got a.
b.
To determine how many accounts will minimize the long run average cost.
Given the function;
[tex]C=576-48N+N^2[/tex]We need to plot a graph of the function and identify the lowest point on the graph ( since we are minimizing).
Above is a section of the graph of the function.
The lowest point on the graph is at;
[tex]\begin{gathered} N=24 \\ C=0 \end{gathered}[/tex]Therefore, the number of accounts that will minimize the long run average cost is 24 accounts.
Also, the minimum long run average cost is 0
c.
We want to determine whether the territories should be merged together.
To do this we will check their average long run cost when they merge and compare to their average long run cost when they are separate;
When the merge, the total number of accounts is;
[tex]N=16+19=35[/tex]So, the long run average cost is;
[tex]\begin{gathered} C=576-48N+N^2 \\ C=576-48(35)+35^2 \\ C=121 \end{gathered}[/tex]When they are separate, as calculated in a.
the long run average cost for both is;
[tex]\begin{gathered} C_1=576-48(16)+16^2 \\ C_1=64 \\ C_2=576-48(19)+19^2 \\ C_2=25 \\ C=C_1+C_2=64+25 \\ C=89 \end{gathered}[/tex]So, since the long run average cost for when they merge is greater that the total long run average cost when the are separate, then they should not merge the two territories because merging the two territories increases the long run average cost. And we all know the aim is to always try to reduce cost.
Therefore, they should not merge
What is the missing value in the proportion 4/4=x/30 A.6B.24C.37.5D.29
Answer
x = 30
Explanation
We need to find the value of x in the proportion
[tex]\begin{gathered} \frac{4}{4}=\frac{x}{30} \\ \text{Cross multiply} \\ 4x=120 \\ \text{Divide both sides by 4} \\ \frac{4x}{4}=\frac{120}{4} \\ x=30 \end{gathered}[/tex]Hope this Helps!!!
Which expression is equivalent to the following complex fraction?
11
-IX-X
411X11
11
0
y
y+X
y-x
(y-x)(y+x)
x²y²
x²y²
(y+x)(y+x)
y-x
y+X
The equivalent expression of the given complex fraction is (5x - 2y)/(3x - 2y).
We are given a fraction. The fraction is complex in nature. A fraction is a portion of a whole or, more broadly, any number of equal parts. A complex fraction is a rational expression that contains a fraction in either the numerator or the denominator. Let the complex fraction be represented by the variable "F". The fraction is given below.
F = [(-2/x) + (5/y)]/[(3/y) - (2/x)]
We have to convert this complex fraction into a simple mathematical expression. A mathematical expression is a finite collection of symbols that is well-formed according to context-specific norms. Let the expression be represented by the variable "E".
E = [(-2y + 5x)/x*y]/[(3x - 2y)/x*y)]
E = [(-2y + 5x)/(3x - 2y)]/[x*y/x*y)]
E = [(5x - 2y)/(3x - 2y)]*1
E = (5x - 2y)/(3x - 2y)
The complete question is given below.
Which expression is equivalent to the following complex fraction?
[(-2/x) + (5/y)]/[(3/y) - (2/x)]
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find the error & explain why it is wrong:
jon had to solve the equation below. what did he do wrong?
x^2 = x - 6
Answer:
Step A is incorrect.
[tex] {x}^{2} = x - 6[/tex]
[tex] {x}^{2} - x + 6 = 0[/tex]
Jon should have subtracted x from both sides and then added 6 to both sides.
6 chairs cost £84 in total.
How much does 1 chair cost?
Give your answer in pounds (£).
Answer: £14
Step-by-step explanation:
Divide the pounds from the chairs, in this case £84 / 6 is £14. So each chair costs £14.
In one country, approximately 193,200 of 920,000 residences are rentals. Determine the percentage of residences in the country that are rentals.The percentage of residences in the country that are rentals is %.
To find the percentage of the residences in the country that are rentals is calculated with this formula:
[tex]\begin{gathered} =\frac{\text{population of rental residence}}{total\text{ country population}}\times100\text{ \%} \\ \text{Given:} \\ \text{Population of rental reseidence = 193,200} \\ \text{Total country population = 920,000} \end{gathered}[/tex]Now substituting the given information, into the above percentage expression, we will have:
[tex]\begin{gathered} =\frac{193,200}{920,000}\times100\text{ \%} \\ =0.21\times100\text{ \%} \\ =21\text{ \%} \end{gathered}[/tex]The percentage of residences in the country that are rentals is 21 %.
please I need helpppppppppppp
The value of angle a will be = 50 degrees
Since the given figure has 4 sides hence it is a quadrilateral, we know that the sum of all 4 sides should be equal to 360 degrees so,
Sum of all 4 sides = 360 degrees
The sum of the given 3 sides = 100+100+110 = 310 degrees
Angle a = Sum of all 4 sides - the sum of the given 3 sides
Angle a = 360 - 310
Angle a = 50 degrees
Hence the value of the remaining angle a = 50 degrees
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