Answer:
He made a loss of $1,200.
Step-by-step explanation:
1. 5000 + 3200 - 7000 = $1,200
question below , vvvvv
Answer:
5 + 2x = 5x + 4
-2x -2x
5 = 3x + 4
-4 -4
1 = 3x
Divide by 3 on both sides.
1/3 = x
Go step by step to reduce the radical. 112
Answer:
4 sqrt(7)
Step-by-step explanation:
sqrt(112)
We know sqrt(a*b) = sqrt(a) sqrt(b)
Look for perfect squares
sqrt(16*7)
sqrt(16)sqrt(7)
4 sqrt(7)
Answer:
4√7
Step-by-step explanation:
√112
we know that ( a × b) = √a √ b
\( \small \sf \: \sqrt{16 \times 7} \)
√16 × √7
4√7
Two of them are drawn simultaneously from a deck of 48 cards.
Calculate the probability that:
a) both are cups
b) At least one cup
c) One is a cup and the other is a sword
The required probability is
a) both are cups is 0.05
b) At least one cup is 0.19
c) One is a cup and the other is a sword is 0.06
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
a) for both are cups
P= 12*11/48*47
p = 0.05
b) for At least one cup
p = 12*36/48*47
p = 0.19
c) for One is a cup and the other is a sword
p = 12*12/48*47
p = 0.06
Thus, the required probability is 0.05, 0.19, 0.06
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\( {x}^{2} + 70 = 17x\)
solve
I really neeed this done asap
Answer: x=7 x=10
Step-by-step explanation:
\(x^2+70=17x\\x^2+70-17x=17x-17x\\x^2-17x+70=0\\x^2-7x-10x+70=0\\x(x-7)-10(x-7)=\\(x-7)(x-10)=0\\x-7=0\\x=7\\x-10=0\\x=10\)
Answer:
x = 7, x = 10
Step-by-step explanation:
x² + 70 = 17x ( subtract 17x from both sides )
x² - 17x + 70 = 0 ← in standard form
consider the factors of the constant term (+ 70) which sum to give the coefficient of the x- term (- 17)
the factors are - 10 and - 7 , since
- 10 × - 7 = + 70 and - 10 - 7 = - 17 , then
(x - 10)(x - 7) = 0 ← in factored form
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x - 10 = 0 ⇒ x = 10
A rectangular wooden chest is twice as long as it is wide. The top and sides of the chest are made of oak and the bottom is made of pine. The volume of the box is 0.25 cubic metres. The oak costs $2/m2 and the pine is $1/m2 Find the dimensions that will minimize the cost of making the chest. A cardhon
The cost of making the chest with these dimensions is approximately $3.83.
Let's start by finding an expression for the cost of making the chest in terms of its dimensions. The cost of the oak top and sides is given by:
cost of oak = 2lw + 2lh
where l is the length and w is the width of the chest, and h is the height (which we don't know yet). The cost of the pine bottom is given by:
cost of pine = lw
The total cost of making the chest is the sum of these two costs:
total cost = cost of oak + cost of pine
= 2lw + 2lh + lw
We want to minimize this cost subject to the constraint that the volume of the chest is 0.25 cubic metres. The volume of a rectangular box is given by:
volume = length × width × height
= lwh
Since the volume is given as 0.25 cubic metres, we have:
lwh = 0.25
We also know that the length is twice the width, so we can write:
l = 2w
Substituting this into the expression for volume, we get:
\(2w^{2h} = 0.25\)
Solving for h, we get:
\(h = 0.125/w^2\)
Substituting this expression for h into the expression for the total cost, we get:
total cost = \(2lw + 2(0.125/w^2)w + lw\)
= 2lw + 0.25/w
To minimize this cost, we can take the derivative with respect to w and set it equal to zero:
d(total cost)/dw =\(2l - 0.25/w^2 = 0\)
Solving for w, we get:
w = \(\sqrt{0.125/l)}\)
Substituting this value for w back into the expression for h, we get:
h = \(0.125/w^2 = 8l\)
Therefore, the dimensions that will minimize the cost of making the chest are:
length = 2w = \(2\sqrt{(0.125/l)}\)
width = w =\(\sqrt{0.125/l)}\)
height = h = 8
To find the cost of making the chest, we can substitute these values into the expression for the total cost:
total cost = 2lw + 0.25/w
= \(2\sqrt{(0.125/l} ) \times \sqrt{0.125/l)} \times 2 + 0.25/\sqrt{(0.125/l)}\)
= 4 × 0.125 + 0.25 × sqrt(l/0.125)
= 0.5 + 2\(\sqrt{2\) ≈ 3.83
Therefore, the cost of making the chest with these dimensions is approximately $3.83.
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Which expression is equivalent to −15(k+4)?
Answer:
-15k - 60 (The second one)
Step-by-step explanation:
-15 ( k + 4) is the question.
-15 x k = -15k
- and + is -
and 15 x 4 = 60.
So, the answer is -15k - 60
Convert 1.8 kg to g.
Answer:
1800 grams
Step-by-step explanation:
1.8 × 1000 = 1800
To convert kg to g you have to multiply the mass value by 1000
hope it helps!
A Right triangle has one acute angle of 43. what is the measure of the other acute angle
90 + 43 + x = 180
By Euclidean geometry, the measure of the missing angle, the other acute angle, of the right triangle is equal to 47°.
How to find the measure of the measing angle of the right triangleRight triangles are triangles of which one of its angles is a right angle and the other two angles are acute angles. According to the statement, the measure of an acute angle of the right triangle is equal to 43°.
By Euclidean geometry, the sum of the internal angles in any triangle equals a measure of 180°. Then, the measure of the missing angle is:
90° + α + β = 180°
If we know that α = 43°, then the value of β is:
α + β = 90°
43° + β = 90°
β = 47°
The measure of the missing angle is equal to 47°.
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Lucas bought a tablet that was on sale at a 15% discount your supra case for $24.99 which is been a total of $237.49 written equation to find the original cost of the tablet
The original cost of the tablet is $70.89 in the given algebraic equation.
What is algebraic equation?A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.
Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.
Let the original cost be x
then
15/100 = 24.99.x
x = 166.6
237.49 - 166.6
= $70.89
Thus, the original cost of the tablet is $70.89 in the given algebraic equations.
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Full question?
Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?
given a complete deck of cards, the probability of drawing the ace of diamonds is 1/52. based on this probability, what are the odds for this event?
Answer:
4/13 or .308
Step-by-step explanation:
answer this pleaseeeeee ill give brainliest What is an equation of the line that passes through the points (-6, 3) and (-5, 2)?
Answer:
y-3=-1(x+6)
Step-by-step explanation:
I gotchu
brainliest tho?
the equations x + 4 = y and 2x + 2 = y form a system that has ...?
A. one solution
B. no solution
C. an infinite number if solutions
Answer:
A. One solution
Step-by-step explanation:
We are given a system of equations and are asked to find whether it has a certain solution.
y = x + 4
2x + 2 = y
Since both equations end with y, we can substitute them from back to back.
x + 4 = 2x + 2
Subtract 2 from both sides :
x + 2 = 2x
Subtract x from both sides :
x = 2
Solve for y now that you have x by subtituting x with the value.
(2) + 4 = y
2(2) + 2 = y
6 = y
6 = y
Therefore this means that the system of equations is one solution because it intersects at one point (2, 6).
Check the graph.
What is the opposite of point C on the number line?
Question 1 options:
A: -8
B: -4
C: 14
D: 4
Its -14 :>
Randoml spam letters bc it asked me to
Answer:
D
Step-by-step explanation:
C is the point - 4
the opposite of a number is its negative , that is
- (- 4) = + 4
the opposite of point C is therefore 4
(-2 -2) and y=8/3x-5 in slope intercept form
The equation of a line perpendicular to line y = 8/3x-5 in slope-intercept form that contains point (-2, -2) is y = -3x/8 - 11/4.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
8/3 × m₂ = -1
m₂ = -3/8.
At data point (-2, -2), a linear equation of this line can be calculated in point-slope form as follows:
y - (-2) = -3/8(x - (-2))
y + 2 = -3/8(x + 2)
y = -3x/8 - 3/4 - 2
y = -3x/8 - 11/4
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_________is a way of organizing numbers and summarizing them so that they can be understood, whereas allows researchers to draw conciusions about the rosuts of rosearch.
a. Descriptive statistics; inferential statistics b. Inferential statistics; descriotive statistics c. Correlational resoarch; mean statistics d. Inforential statistics; moan, modum, and mode
The correct answer is option a) Descriptive statistics; inferential statistics
a. Statistics with descriptions; Inferential statistics is the branch of statistics that deals with organizing, summarizing, and presenting data in a meaningful manner. Descriptive statistics are examples of this. It includes graphs or charts that provide a comprehensive overview of the data as well as measures like the mean, median, mode, and standard deviation.
On the other hand, inferential statistics is a subfield of statistics that uses a sample to make inferences or conclusions about a population. It makes predictions or generalizations about the larger population by utilizing sampling methods and probability theory.
Therefore, a. descriptive statistics is the correct response; statistical inference.
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23. Match the figure with the number of unit cubes that would be needed to build each figure. Not every number of unit cubes will be used.
We can see here that:
Figure 1 - 7 unit cubes.Figure 2 - 6 unit cubes.What is cube?A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).
Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.
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A box contains nine cards labeled J ,K ,L ,M ,N ,O ,P ,Q , and R. One card will be randomly chosen. What is the probability of choosing a letter from M to P?
Answer:
I think the answer is O
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
The answer is 4186. 67
Step-by-step explanation:
\(v = \frac{4}{3} \times 3.14 \times {(10)}^{3} \\ v = 4186.66666 \\ v = 4186.67\)
I am a math teacher If you need any explanation you can communicate with me on Whats on this number 01557831028
simplify the expression.. help me pleaseee 3
Answer:
C. \(2.245 * 10^6\)
Step-by-step explanation:
(2.2)(10^6) + (4.5)(10^4) = 2245000
Simplify to match answer choices.
Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Step-by-step explanation:
again option D x = 10, y= 3
is the correct answer of this question.
plz mark my answer as brainlist.if you find it useful.
hope this will be helpful to you.
Answer:
x = 10
y = 7
Step-by-step explanation:
4x-2 = x+28
4x-x = 28+2
3x = 30
x = 30÷3
x = 10
4y-7 = y+14
4y-y = 14+7
3y = 21
y = 21÷3
y = 7
Determine whether the ratios are equivalent.
1 : 4 and 2 : 6
Responses
The ratios, 1 : 4 and 2 :6 are not equivalent.
Are the ratios equivalent?
Ratio shows the relationship that exist between two or more numbers. Ratio is used to compare two or more numbers. It shows the number of times that one value is contained within other value(s).
In order to determine if the ratios are equivalent, express 2 : 6 in its simplest form. To do this, divide 2 and 6 by 2, a common multiple of both numbers.
2 :6 in its simplest form is 1 : 3
Since, 1 : 3 is different from 1 : 4, the ratios are not equivalent.
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 helloo , i need help with this problem it says write this number (797,000,000,000+ 619,000,000+132)in standard form, please help (I’LL BRAINLIEST )
Okay its 797,619,000,132
They all have different place values
You dilate a figure with respect to the origin using a scale factor of 4, and then reflect the image in the y-axis. Complete the coordinate notation to show how the coordinates of the original figure are related to the coordinates of the final image after the transformations.
Answer:
Step-by-step explanation:
origin, multiply the coordinates of each vertex by the scale factor k. When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction. In a dilation, the original figure and its image are similar.
5. In 2 concentric circles, the inner radius is 2 cm and the outer radius is 4 cm.
What is the area between the two circles? (Use
\(\pi \\ \)
= 3.14)
Step-by-step explanation:
The area of circle with radius 4cm is,
area of circle = π r *r = 3.14 * 4 * 4
= approx 50.27
The area of circle with radius 2cm is,
area of circle = π * r * r = 3.14 * 2 * 2
= approx 12.57
The circles are concentric means they have a common Centre, so,
Area between the two circles = area of bigger circle - area of smaller circle
= 50.27 - 12.57
= 37. 7 sq. cm
What is the equation of a line that is parallel to y=2/3x-7 and passes through (12,2)?
Group of answer choices
A. y=2/3x-6
B. y=2/3x+12
C. y=2/3x-7
D. y=-3/2x+12
Answer:
The answer is option AStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
From the question the original line is
y = 2/3x - 7
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
So the equation of the line using point
(12 , 2 ) and slope 2/3 is
\(y - 2 = \frac{2}{3} (x - 12) \\ y - 2 = \frac{2}{3} x - 8 \\ y = \frac{2}{3} x - 8 + 2\)
We have the final answer as
\(y = \frac{2}{3} x - 6 \\ \)
Hope this helps you
Solving one step Equations!! Please help with 91 or 89 !!
Answer:
91. 60m in 12 seconds
Step-by-step explanation:
91. 5m/s*12=60m
Please help me do this
just ask you parents please but it's not right just to ask and be given
What is obtuse angle answer?.
Answer:
an obtuse angle are angles that are greater than 90 degrees
Step-by-step explanation:
an obtuse angle are angles that are greater than 90 degrees
I need these 2 question this is important like actually
Answer:
1) 1,3,5,7
2) I can't really see it, it is blurry. Im sorry
Step-by-step explanation:
The students in Mr. McIntyre’s class and the students in Mrs. Ramos’s class were asked how many pets they each have. The dot plots below show the results.
Mr. McIntyre’s Class
A dot plot titled Mister McIntyre's Class. A number line going from 0 to 5 is labeled Number of Pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.
Mrs. Ramos’s Class
A dot plot titled Misses Ramos's Class. A number line going from 0 to 5 is labeled Number of Pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.
Which statement correctly compares the means of the data in the dot plots?
The mean for Mr. McIntyre’s class is about 2 more than the mean for Mrs. Ramos’s class.
The mean for Mrs. Ramos’s class is about 2 more than the mean for Mr. McIntyre’s class.
The mean for Mr. McIntyre’s class is about 1 more than the mean for Mrs. Ramos’s class.
The mean for Mrs. Ramos’s class is about 1 more than the mean for Mr. McIntyre’s class.
Answer:
B is the answer.
Step-by-step explanation:
took test. 100% sure.
Answer:
Step-by-step explanation:
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