Answer:
The value of the expression is 23.
Step-by-step explanation:
3x7+2^3/(3+1) <----- Here is the original problem.
3x7+2^3/4 <----- Simplify what's in the parentheses.
21+2^3/4 <----- Do your multiplication (in the front)
21+8/4 <----- Simplify the exponent. (2 x 2 x 2 = 8)
21+2 <---- Do the division.
23 <----- Here is the correct answer.
Hope this helps! :D
what is 9/10 ÷ 3/5 will give brainlist
Answer:1.5
Step-by-step explanation:
Stephanie spends $15 each month to belong to a photography club. As a member of the club she can develop rolls of film for $2.50 each. Write and solve an equation to find the total amount Stephanie will spend this month if she develops 5 rolls of film.
Answer:
2.5*5= 12.5
15-12.5=2.5
So in order to pay the 15 dollars in the photography club, she only has to pay 2.50
hey um, so i’m learning ab percentages in my math class so can someone please explain to me how to solve percent problems if that’s ok? thank you.
Answer:
It's pretty simple. For example, if it says there is a percentage increase on something like there is a jacket for $25 and there was a 15% increase, you multiply 25 by 1.15 to see what the new price is. But say if the same $25 jacket is on sale for 15%, then you can multiply 25 by .15, then subtract that from 25 or originally subtract the 15% from 100 which is 85 and multiply 25x.85 and get the answer directly.
Hope this helps! But this would be easier to explain with an example
Anastasia is grocery shopping list is 60% done and she only has 12 items, how many items does she have on the list?
Answer:
She has 20 items on the list
Step-by-step explanation:
Answer:
if she is 60% done shopping and has a total of 12 items, then the list will have 8 items left or 20 in total.
In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)
Answer:
69.04
Step-by-step explanation:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Zscore = 0.2
Find the corresponding height (x) ;
Using the relation :
Zscore = (x - m) / s
0.2 = (x - 69.0) / 0.2
0.04 = x - 69.0
0.04 + 69.0 = x
69.04 = x
Hence, the height of a man with a Zscore of 0.2 is 69.04
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answer:
Step-by-step explanation:
(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.
The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the length and width of the construction site.
Show work
Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
How do I simplify 25.3(2.4)
Answer:
60.72
Step-by-step explanation:
you multiply 25.3 by 2.4
Measurement A equals 6X - 35°
Answer:
............the answer is 97
Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4
Answer:
Step-by-step explanation:
9
3
4
Answer:
1. 9
2. 3
3. 4
Step-by-step explanation:
I have taken the test and got 100% on it so I hope this helped you!
19) Albert says that the two systems of equations shown have the same solutions.
FIRST SYSTEM
6x + y= 2
-x-y=-3
SECOND SYSTEMS
2x-3y = -10
-X-y= -3
A) Agree, because the solutions are the same
B) Agree, because both systems include -x-y= -3
C) Disagree, because the solutions are different
D) Cannot be determined
Answer:
option A) Agree, because the solutions are the same is correct.
Step-by-step explanation:
FIRST SYSTEM
[tex]6x + y= 2[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]
[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]
adding the equation
[tex]-6x-6y=-18[/tex]
[tex]+[/tex]
[tex]\underline{6x+y=2}[/tex]
[tex]-5y=-16[/tex]
so the system becomes
[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]6x+\frac{16}{5}=2[/tex]
subtract 16/5 from both sides
[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]
[tex]6x=-\frac{6}{5}[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the FIRST SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
SECOND SYSTEM
[tex]2x-3y = -10[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]
[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]
[tex]-2x-2y=-6[/tex]
[tex]+[/tex]
[tex]\underline{2x-3y=-10}[/tex]
[tex]-5y=-16[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
Simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]2x-3\cdot \frac{16}{5}=-10[/tex]
[tex]2x=-\frac{2}{5}[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]
Simplify
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the SECOND SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
Conclusion:
As both systems of equations have the same solution.
Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.
Hence, option A) Agree, because the solutions are the same is correct.
what is the area of this trapezoid?
plss help
i will telling you a brainlist!!!
Answer:
30in²
Step-by-step explanation:
A=1/2(4)(5+10)
A=2x15
A=30in²
Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror car
be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. Where should she place the
bulb to ensure a perfect beam of light?
(0
1)
(0, 4)
(1, 0)
(4, 0)
Answer:
Step-by-step explanation:
0,1
The bulb should be placed at (1,0).
What is Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
Given:
Suppose the equation of parabolic mirror is y² = 4ax.
The given data in the is x = 1 and y = 2
So, the value is y² = 4ax
4 = 4 a (1)
a = 1
So x = 1
and, the focus is at (x, y) is (1,0).
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please solve:
2(X+3)=8-3(x-4)
x-3(x-2)=3(2-x)
question from equation and inequality.
Answer:
i) x = 2.8
ii) x = 2
2,704 rounded to the nearest thousand
Answer:
3000,
Step-by-step explanation:
5 or above round up, 4 and below keep it the same
In the expression -3g + 12, how many terms are in the expression? *
1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2
Answer:
There are 1 terms.
5x+kr has 3 terms
Step-by-step explanation:
-3g has 1 term. 12 has none. so it is 1
5x has 1 term and kr has 2 terms and 2+1 is 3 terms.
Write an Inequality to represent a graph.
Answer:
nun of the 3 you gave use so the last one the 4th
Step-by-step explanation:
Which of the following is equal to 7 1/4
Answer:
D. [tex]\sqrt[4]{7}[/tex]
Step-by-step explanation:
Answer:
d.
Step-by-step explanation:
A travel agency is advertising a vacation package that includes $250 fora $40a day for hotel. The agency also offers the option of eating breakfast and lunch at the hotel for
$10 a day for the length of the hotel stay.
Answer:
V(d) = 50d + 250 us the answer
The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.
The equation for the function can be framed as follows:
Per day expense = 40 + 10 = 50
Fixed expense = 250
V(d) = 5d + 250
Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
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Alexandra spends 1/3 of her daysleeping and 3/8 of her day at work. What fraction of Alexandra’s day is occupied by sleep or work?
Answer:
17/24
Step-by-step explanation:
Change the denominators to match
8/24 + 9/24 = 17/24
Allan bought a sweater
for $78 and a shirt for
$29. How much more did
the sweater cost than
the shirt
Answer:
$49
Step-by-step explanation:
78 - 29 = 49
To get 49, I subtracted 29 from 78.
Which point could represent 5/3?
B -3
A -1/2
D 1/2
C 1 1/2
Answer:
(D)
Step-by-step explanation:
is the correct because is 1/2
Answer:
C. 1 1/2
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. x=22/2, y = 8
B. X= 2, y = 416
C. x=21/2, y= 2/6
D. x= 23, y = 613
Answer:
[tex]\displaystyle y=2\sqrt{6}[/tex]
[tex]\displaystyle x=2\sqrt{2}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:
[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]
Solving for y:
[tex]y=4\sqrt{2}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]
Simplifying:
[tex]\displaystyle y=2\sqrt{6}[/tex]
Now we use the sine ratio:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]
Solving for x:
[tex]x=4\sqrt{2}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}:[/tex]
[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]
Simplifying:
[tex]\displaystyle x=2\sqrt{2}[/tex]
The choices are not clear, but it seems like the correct answer is C.
[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]
[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]
9. Gross Margin equals $50,000, operating expenses equals $23,000, income
taxes equals $5,400 and sales is $110,000. What is the company's net income?
Answer:
$21600
Step-by-step explanation:
Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:
Net income = Revenue - cost of goods sold - operating expenses - tax.
But Gross margin = gross profit = Revenue - cost of goods sold. Hence:
Net income = Gross margin - operating expenses - tax.
Substituting gives:
Net income = $50000 - $23000 - $5400
Net income = $21600
Which of the following is an equation for line m shown below which is perpendicular to the line whose equation is y=2/3x + 4
1) y= -2/3x + 8
2)y= 3/2x + 6
3)y= -2/3x + 12
4)y= -3/2x + 4
The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
The given equation of a line in slope-intercept form is y = (2/3)x + 4.
Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.
If one line has a slope of 'm' the line perpendicular to it will have slope
(-1/m).
Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.
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what is the slope in the equations: y = 4x + 3
Answer:
4
Step-by-step explanation:
y = mx + b
m represents the slope, and as we can see in the equation, the number 4 is there instead of m, so therefore 4 is the slope
how to do this question pls tell mme
Answer:
x = 35°
y = 55°
Step-by-step explanation:
60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)
2x = 180° - 110°
x = 70°/2 = 35°
2x + 2y = 180°( Sum of interior angles of a triangle is 180°)
2× 35° + 2y = 180°
70° + 2y = 180°
2y = 180° - 70°
y = 110°/2
y = 55°
What is the equation of the line that passes through the points (-3, -2) and (1, 6)?
Answer:
y = 2x +4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} - x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~
(1, 6)
(- 3, - 2)
m = 2
y - 6 = 2 ( x - 1 ) <------ ( point-slope form )
y = 2x + 4 <------- ( slope-intercept form )
2x - y = - 4 <------ ( standard form )
A single die is rolled twice. Find the probability of rolling a 2 the first time and a 4 the second time
Explanation:
The probability of rolling a "2" is 1/6
The probability of rolling a "4" is also 1/6
Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.
The probability of rolling a 2 the first time and a 4 the second time is 1/36
There are 6 faces on a die.
Of these 6 faces, one of them is 2 and one of them is 4
So, the probabilities of rolling a 2 and a 4 are:
P(2) = 1/6
P(4) = 1/6
The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:
[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]
This gives
[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]
Multiply
[tex]\mathbf{Pr = \frac 1{36}}[/tex]
Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36
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