Answer:B.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
it is C because A, B, and D are triangular prisms.
sara has 24 sweets
tim also has 24 sweets
sara gives tim x sweets
sara then eats 7 of her sweets
tim then eats half of his sweets
write an expression for the number of sweets sara and tim have now
The answer is:
The expression for the number of sweets that Sara and Tim have now, are:
[tex]Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
Why?To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:
Sara starts with 24 sweets and Tim starts with 24 sweets
[tex]Sara=24 Sweets\\Tim=24 Sweets[/tex]
Then, Sara gives Tim x Sweets
[tex]Sara=(24-x)Sweets\\Tim=(24+x)Sweets[/tex]
Then. Sara eats 7 of her Sweets
[tex]Sara=(24-x-7) Sweets\\Sara=(17-x )Sweets\\Tim=(24+x) Sweets[/tex]
Then, Tim eats half of his sweets
[tex]Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
So, the expression for the number of sweets that Sara and Tim have now, are:
[tex]Sara=(17-x) Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
Have a nice day!
Evaluate cos^2 (n/12)
Answer:
[tex]\frac{2+\sqrt{3} }{4}[/tex]
Step-by-step explanation:
We can use the identity [tex]Cos^2(x)=\frac{1}{2}+\frac{1}{2}Cos(2x)[/tex] to write it as:
[tex]Cos^2(\frac{\pi}{12})=\frac{1}{2}+\frac{1}{2}Cos(2(\frac{\pi}{12}))\\=\frac{1}{2}+\frac{1}{2}Cos(\frac{\pi}{6})\\=\frac{1}{2}+\frac{1}{2}(\frac{\sqrt{3} }{2})\\=\frac{1}{2}+\frac{\sqrt{3} }{4}\\=\frac{2+\sqrt{3} }{4}[/tex]
Note: The value of [tex]Cos(\frac{\pi}{6})[/tex] is [tex]\frac{\sqrt{3} }{2}[/tex]
The answer is the 2nd one, [tex]\frac{2+\sqrt{3} }{4}[/tex]
Two sides of a triangle measure 18 meters and 11 meters. If the perimeter of the triangle is 37 meters, what is the length of the third side? 12 m 8 m 66 m 30 m
Answer:
Length of third side = 37-(18+11)
= 37 - 29
= 8 m
Hope this helps!
Answer:
8 m
Step-by-step explanation:
Find the total area of the rectangular prism whose base is 3 feet by 2 feet, and is 5 feet high
Answer:
The total area of the prism is 30 cubic feet
Step-by-step explanation:
To find the area multiply 3 by 2 by 5
Mrs campbell gave her algebra 1 students a list of trinomials to factor for homework. which of these can be factored into two binomials
A. x^2+3x+2
B. x^2+4x+5
C. x^2+5x+7
D. x^2+6x+10
Answer:
A
Step-by-step explanation:
A trinomial can be factored into two binomials, when the discriminant of the trinomial is greater than or equal to 0.
The discriminant for trinomial [tex]ax^2+bx+c[/tex] is he expression [tex]D=b^2-4ac.[/tex]
Check all options:
A.
[tex]D=3^2-4\cdot 1\cdot 2=9-8=1,[/tex]
then
[tex]x_{1,2}=\dfrac{-b\pm\sqrt{D}}{2a}=\dfrac{-3\pm\sqrt{1}}{2}=-2,\ -1.[/tex]
Thus,
[tex]x^2+3x+2=(x-x_1)(x-x_2)=(x-(-2))(x-(-1))=(x+2)(x+1).[/tex]
B.
[tex]D=4^2-4\cdot 1\cdot 5=16-20=-4<0,[/tex]
so this trinomial cannot be factored.
C.
[tex]D=5^2-4\cdot 1\cdot 7=25-28=-3<0,[/tex]
so this trinomial cannot be factored.
D.
[tex]D=6^2-4\cdot 1\cdot 10=36-40=-4<0,[/tex]
so this trinomial cannot be factored.
what is the value of the expression
2 1/4 divided by 1 2/5
Answer:
Step-by-step explanation:
2 1/4 divided by 1 2/5
8/4 + 1/4 divded by 5/5 +2/5
9/4 divided by 7/5
9/4 times 5/7
9 times 5 over 4 times 7
45 over 28
What is x+8y=-15 7x+8y=-19
Answer:
x = − 15 − 8 y
y=-7/8x-19/8
Step-by-step explanation:
If you are trying to solve for x the answer for first problems is
x = − 15 − 8 y
second problem the slope intercept form is:
y=-7/8x-19/8
I'm not sure exactly what you are looking for but I hope that is it.
If p=-1, which of the following has the greatest value?
A) 4p^2
B) 6p^2
C) 8p^2
D) 10p^2
Answer:
D)
Step-by-step explanation:
6/11 divided by 2/5
[tex] \frac{6}{11} \div \frac{2}{5} = \frac{6}{11} \times \frac{5}{2} = \frac{3 \times 5}{11} = \frac{15}{11} [/tex]
Step-by-step explanation:
6/11 ÷ 2/5
Formula: a/b ÷ c/d = a/b x d/c = ad/bc
1. Change it to multiplication x by switching 2/5 to 5/2
6/11 x 5/2
= 30/22
2. Simplify
= 15/11 <------- Answer
Hope this Helped!!!
~Shane
If 3 is added to the absolute value of the product of a number and −9, the result is 4.
Answer:
[tex]x=\frac{1}{9},-\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]3 + |x*-9|=4\\|x*-9|=1\\|x|=\frac{1}{9}\\ \\x=\frac{1}{9},-\frac{1}{9}[/tex]
The value of x for the given condition will be either 1/9 or -1/9.
What are summation and multiplication?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.
Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Given that 3 + x × (-9) = 4
In the first case if the value of x is positive
3 - 9x = 4 ⇒ x = -1/9
In the second case if the value of x is negative
3 + 9x = 4 ⇒ x = 1/9
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subtract (5x^2+3)-(2x^2+4x-12)
Answer:
Final answer is [tex]3x^2-4x+15[/tex]
Step-by-step explanation:
we have been given an expression [tex](5x^2+3)-(2x^2+4x-12)[/tex].
Now we need to subtract them.
We can subtract like terms only that has same variable with same exponent.
[tex](5x^2+3)-(2x^2+4x-12)[/tex]
[tex]=5x^2+3-2x^2-4x+12[/tex]
[tex]=5x^2-2x^2-4x+3+12[/tex]
[tex]=(5-2)x^2-4x+(3+12)[/tex]
[tex]=(3)x^2-4x+(15)[/tex]
[tex]=3x^2-4x+15[/tex]
Hence final answer is [tex]3x^2-4x+15[/tex]
Answer:
(5x^2+3)-(2x^2+4x-12) = 3x²-4x+15.
Step-by-step explanation:
We have given the expression:
(5x²+3)-(2x²+4x-12)
We have to subtract.
(5x²+3)-(2x²+4x-12)
5x²+3-2x²-4x+12
5x²-2x²-4x+3+12
3x²-4x+15
3x²-4x+15 is the answer.
An equal number of men and women were randomly selected and asked how many hours a week they spend exercising.
are you missing something there's no data and there's no question
There isn't enough information.
Evaluate:
r-9 for r = 20
If r = 20, then plug 20 into the equation.
so instead of r - 9, it's 20 - 9
20 - 9 = 11
Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Range
D. Mode
Answer:
Range
Step-by-step explanation:
A construction company plans to invest in a building project. There is a 30% chance that the company will lose $30,000, a 40% chance of a break even, and a 30% chance of a $60,000 profit. Based ONLY on this information, what should the company do?
30% chance of losing money.
40% chance of breaking even
Added together = 70% of not making any money or losing money.
Only a 30% chance of making money.
The company should not invest, since they only have a 30% chance of making money.
Four brothers and their sister have the average age 7. Four brothers have the average age 6. How old is the sister?
Answer:
11 years old
Step-by-step explanation:
If four brothers have the average age 6, then the sum of their ages is
[tex]4\cdot 6=24[/tex]
years.
Let x years be the age of sister. If four brothers and their sister have the average age 7, then
[tex]\dfrac{24+x}{5}=7.[/tex]
Multiply this equation by 5:
[tex]24+x=35\Rightarrow x=35-24=11.[/tex]
The sister is 11 years old.
which equation is represented by the graph below ?
Answer:
C) y = ln(x) + 4
Step-by-step explanation:
The equation can't be A or B, because they are exponential functions, and they can have negative x-values.
It must be one of the two ln functions, because they can't have negative values of x.
To decide between C and D, insert a value of x that makes it easy to calculate the value of y.
Let x = 1.
For Equation C,
y = ln(1) + 4 = 0 + 4 = 4
For Equation D,
y = ln(1) + 5 = 0 + 5 = 5
We draw a vertical line from x = 1 and see where it intersects the graph.
The intersection is at (1, 4), so the correct equation is
y = ln(x) + 4
Two mechanics worked on a car. The first mechanic to work for 5 Hours in the second mechanic work for 15 Hours. Together they charged a total of $2000. What was the rate charge per hour by each mechanic if the sum of the two rates was $170 Per hour ?
The answers is:
The first mechanic's rate is $70 per hour.
The second mechanic's rate is $110 per hour.
Why?Let's write the given information in order to make the equations that will help us to solve this problem.
Let be "x" the first mechanic's rate and "y" the second mechanic's rate, so:
If the first mechanic worked for 5 hours and the second mechanic worked for 15 hours, and the together charged a total of $2000.
[tex]5x+15y=2000[/tex]
Also, we know that the sum of the two rates was $170 per hour, so:
[tex]x+y=180[/tex]
Then, isolating "x" and replacing it into the first equation, we have:
[tex]x=180-y[/tex]
[tex]5(180-y)+15y=2000[/tex]
[tex]900-5y+15y=2000[/tex]
[tex]10y=2000-900[/tex]
[tex]10y=1100[/tex]
[tex]y=\frac{1100}{10}=110[/tex]
So, the second mechanic's rate is $110 per hour.
Now, to calculate the first mechanic's rate we need to replace "y" into the second equation:
[tex]x+y=180\\x+110=180\\x=180-110=70[/tex]
So, the first mechanic's rate is $70 per hour.
Have a nice day!
PLEASE GIVE ME A VALID ANSWER IM GIVING ALOT OF POINTS!
Wanatobe walked to the moot at 4 mph and then rode back home in bus at 24 mph. If her total traveling time was 14 hours, how far was it to the moot?
Answer:
Step-by-step explanation: It is 1/2 of 14 = 7 hours to the moot
And plug in 7 hours to the equation 4*7+14*7=126 divide that by 2 and the distance is 63
Is parallelogram a rectangle
Answer:
Sometimes, but not always.
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides, but there are no requirements for its interior angles. A rectangle, on the other hand, must have four interior 90 degree angles. So a rectangle is always a parallelogram, but a parallelogram is not always a rectangle.
A parallelogram is usually defined as a quadrilateral with 2 pairs of equal, opposite and parallel sides. It can also form right angles between adjacent sides. Therefore, not all rectangles are squares, not all parallelograms are rectangles.
Hope I could help! :)
Probability 0.1 0.3 0.2 0.2 0.1 0.1 Which is the expected value of the random variable with the given probability distribution? a. 17 c. 17.8 b. 17.2
Answer:
it is going to be a
Step-by-step explanation:
but u have to add the number and move your demical
Answer:
Option b 17.2
Step-by-step explanation:
Given is a probability distribution of a random variable say x in table form.We have to find the mean.
All probabilities lie between 0 and 1 and add to 1.
Hence this is a valid prob distribution.
To find mean we multiply the random variable x value with probability and add.
Mean = E(X) = [tex]\Sigma p_i x_i = 15(0.1)+16(0.3)+17(0.2)+18(0.2)+19(0.1)+20(0.1)\\=1.5+4.8+3.4+3.6+1.9+2\\= 17.2[/tex]
Hence option b is right answer.
A square has a perimeter of 36 units. One vertex of the square is located at (3, 5) on the coordinate grid. What could be the x- and y-coordinates of another vertex of the square?
Answer:
(3,-5)
Step-by-step explanation:
Answer with explanation:
Perimeter of Square = 36 units
Also, Perimeter of Square =4 × Side
→4 × Side=36
Dividing both sides by ,4 we get
Side of Square = 9 units
Length of Diagonal of square having side a, =√2 a
Length of Diagonal of Square having side , 9 units =9 √2 units
One Vertex of the Square =(3,5)
As , All Interior Angles of Square measures 90°.
So, Other vertices of Square will be, (3,-4),(-6,-4) and (-6,5).
i need the mean of 17, 19, 21, 23
Answer:
20
Step-by-step explanation:
to find the mean, it means to find the average.
steps:
first, you add up all the numbers.
then you divide that total number by the total number of numbers you have.
and that is ur answer!!
17+19+21+23=80 add up all numbers
80÷4=20 divide total by the amount of numbers
The average/mean is 20.
plz give brainliesttttt
Answer:20 is the mean
Step-by-step explanation:
if you add them all you get 80 then divide it by 4 because its 4 numbers and ya get 20
Use substitution to solve the system of equations
y=x+1.75
substitute for y in equation 2.
4x-2(x+1.75)=4
4x-2x-3.5=4
2x=7.5
x=3.75
y=3.75+1.75
y=5.5
The solution of the system as an ordered pair is (3.75, 5.5).
The correct option is first box.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
System of equations,
y = x + 1.75 {equation 1}
4x - 2y = 4 {equation 2}.
Substituting the value of y top the equation 2,
4x - 2(x + 1.75) = 4
4x - 2x - 3.5 = 4
2x = 7.5
x = 3.75
And y = 5.5
Therefore, the solution is x = 3.75 and y = 5.5.
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The measures of the three angles are 45°, 75°, and 60°. how many triangles can you make
Answer:
1 Triangle
Step-by-step explanation:
By adding all these 3 angle measures (45°, 75°, 60°) we are getting 180° in sum. And as we know that normal triangle has 180° , so that it equal only to one triangle.
Final answer:
The sum of the angles of a triangle is always 180 degrees. With angles of 45°, 75°, and 60°, a single unique triangle can be formed.
Explanation:
The sum of the angles in a triangle is always 180 degrees. In this case, the measures of the three angles are 45°, 75°, and 60°. To determine how many triangles can be formed, we need to consider if these angles can form a valid triangle.
Add the given angles: 45° + 75° + 60° = 180°. Since the sum is 180°, a triangle can be formed.
Considering unique triangles: If two angles are the same, only one unique triangle can be formed. If all angles are different, multiple triangles can be formed.
Conclusion: With angles of 45°, 75°, and 60°, a single unique triangle can be formed.
a briefcase selling for rs 1500 was marked down by 20% for a special promotion. it was later marked down further by 10% of the promotion sales price. compute the profit/loss in percentage if the cost is Rs 1000
Profit = 8%
If the briefcase was marked down 20% from 1500 you multiply 1500 x .2 = 300 in order to calculate the discount.
Calculate the discounted price:
1500 - 300 = 1200
Calculate 10% discount of 1200:
1200 x .1 = 120
Calculate the sales price:
1200 - 120 = 1080
The last step is to calculate the profit/loss is the cost is 1000.
The briefcase sold for 1080 and the company paid 1000 for it, so there was a profit of 80.
The percentage is calculate by dividing 80/1000 = 8% profit
Final answer:
The briefcase was originally priced at Rs 1500, discounted twice first by 20% and then by an additional 10%, leading to a final selling price of Rs 1080. With a cost of Rs 1000, the profit is Rs 80, resulting in a profit percentage of 8%.
Explanation:
The briefcase was initially selling for Rs 1500 and was marked down by 20%. Therefore, the sale price after the first discount can be calculated as: Rs 1500 - (20% of Rs 1500) = Rs 1500 - Rs 300 = Rs 1200. This briefcase was then marked down by an additional 10% of the promotion sales price, which becomes Rs 1200 - (10% of Rs 1200) = Rs 1200 - Rs 120 = Rs 1080. The cost of the briefcase is given as Rs 1000, so the profit is the final selling price minus the cost: Rs 1080 - Rs 1000 = Rs 80.
To find the profit percentage, we use the formula: (Profit/Cost) x 100. Substituting the values we get: (Rs 80/Rs 1000) x 100 = 8%. So, the profit percentage is 8% after both the discounts.
Plz help me with it !
Answer: [tex]\bold{-7+2\sqrt{14}+5\sqrt{7}-10\sqrt{2}}[/tex]
Step-by-step explanation:
[tex]\dfrac{\sqrt7-5}{\sqrt7+\sqrt8}\bigg(\dfrac{\sqrt7-\sqrt8}{\sqrt7-\sqrt8}\bigg)=\dfrac{7-2\sqrt{14}-5\sqrt{7}+10\sqrt2}{7-8}=\dfrac{7-2\sqrt{14}-5\sqrt{7}+10\sqrt2}{-1}\\\\\\=\boxed{-7+2\sqrt{14}+5\sqrt{7}-10\sqrt2}[/tex]
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (1,-1); maximum
B. (-1,1); minimum
C. (-1,1); maximum
D. (1,-1); minimum
The correct answer is d
The vertex of the graph is at minimum or maximum option (D) (1, -1); the minimum is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have shown a graph of a parabola in the picture.
As the graph opens up and has a vertex at (1, -1)
The minimum value of graph,
At x = 1
y = -1
Thus, the vertex of the graph is at minimum or maximum option (D) (1, -1); the minimum is correct.
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Which of the following are solutions to the equation below? 6x 2 - 2x + 36 = 5x 2 + 10x
6, 6 are the solutions of the given equation.
What is equation ?
It is a mathematical statement which contains two algebraic expressions on both sides of an ' = ' sign.
Equation shows the equality between the expressions in left hand and right hand side.
What is the solution of given equation ?The given equation is [tex]6x^{2} -2x+36=5x^{2} +10x[/tex]
Solving the equation, [tex]6x^{2} -5x^{2} -2x-10x+36=0[/tex]
⇒ [tex]x^{2} -12x+36=0[/tex]
⇒ [tex](x-6)^{2} =0[/tex]
∴ The equation have double root, the values of x are 6, 6
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what is exactly 1/12 of a full rotation
in degrees the answer is 30° since a full rotation is 360°, divide by 12 and 1/12 of a full rotation is 30°
1/12 of a full rotation in mathematics refers to an angle of 30 degrees. This is calculated by dividing the full rotation (360 degrees) by 12. For example, each hour on a clock represents 1/12 of a full rotation.
Explanation:In Mathematics, a full rotation is defined as 360 degrees. Therefore, to find 1/12 of a full rotation, you would divide 360 by 12. This results in 30 degrees. Hence, 1/12 of a full rotation refers to an angle of 30 degrees in a circular motion. This concept is often applied in geometry and other mathematical applications. For instance, imagining a clock, where each hour signifies 1/12 of a full rotation. The difference in the angle from 12 to 1 on the clock is therefore 30 degrees.
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