3 (h−9) + 2h = h − 27 + 4h
Answers
Answer:
h - any real numberStep-by-step explanation:
3 (h−9) + 2h = h − 27 + 4h3h - 27 + 2h = 5h - 275h - 27 = 5h - 270 = 0h = any number
\(\\ \sf\longmapsto 3(h-9)+2h=h-27+4h\)
\(\\ \sf\longmapsto 3h-27+2h=5h-27\)
\(\\ \sf\longmapsto 5h-27=5h-27\)
\(\\ \sf\longmapsto 5h-5h=-27+27\)
\(\\ \sf\longmapsto 0=0\)
The expression has no solutions
Related Questions
A flying disc in the shape of a circle has a circumference of 8 inches. What is the radius of the flying disc.
Answers
Answer:
A.
Step-by-step explanation:
Recall that circumference is given by:
\(C=2\pi r\)
We know that the circumference is 8π inches. Thus, we can substitute 8π for C:
\(8\pi =2\pi r\)
To solve for r, the radius, we can divide both sides by 2π. Hence:
\(\displaystyle r = \frac{8\pi}{2\pi}=4\)
Therefore, the radius is four inches.
Our answer is A.
8. Jay pays a flat fee each month for basic cable service. He also pays $ 3.50 for each movie he orders during the month. Last month, he ordered 5 movies and his total bill came to $ 54.
a. Write an equation in point-slope form that b. What is the monthly flat fee Jay pays represents the total bill, y, in terms of the number each month? of movies, x Then simplify it to slope-intercept form.
c. Next month, Jay plans to order 7 movies.
d. This month, Jay's total bill is $ 78.50.
What will be his total bill for the month?
How many movies did he order this month?
Answers
Answer:
y=f+3.5x
Step-by-step explanation:
Let the total bill be y
and let the number of movies be x
let the flat fee be f
given that he pays $3.5 per movie
and his total bill is $54
The expression is given bellow for his total bill
y=f+3.5x
For 5 movies his total bill is $54
54=f+3.5(5)
54=f+17.5
54-17.5=f
f=36.5
Therefore the flat fee is $36.5
A school fair is selling tickets. On the first day they sell 1 adult ticket and 4 child tickets to make $63. On the second day they make $105 by selling 3 adult tickets and 5 child tickets. How much do adult tickets cost? How much are child tickets?
(Pls show work)
Answers
Answer:
1 adult ticket costs $9.45
1 child ticket cost $3.15
Step-by-step explanation:
63/5 = 12.6
12.6/4 = 3.15
12.6 - 3.15 = 9.45
I think this is correct if not search up
10 points please help ASAP
Answers
1. Corresponding angles. (upper left) 2. Alternate interior angles. ( upper right)
3. Alternate exterior angles. ( bottom left)
4. consecutive interior angles. ( bottom right)
Identify the recursive formula for the sequence 900, 850, 800, 750,…
Answers
The recursive formula for the given sequence as required in the task content is; f(n) = f (n - 1) - 50.
What is the recursive formula for the given sequence?It follows from the task content that the recursive formula for the given sequence is to be determined.
By observation, the sequence is an arithmetic progression and the common difference, d can be evaluated as;
d = 750 - 800 = 800 - 850 = 850 - 900 = -50
Also, since the recursive formula for an arithmetic sequence takes the form;
f(n) = f (n - 1) + d.
Hence, since the recursive formula as required is;
f(n) = f (n - 1) - 50.
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Answer:
f(1)=900
f(n)=f(n-1)-50if n>1
Step-by-step explanation:
this is the correct
plz help me 5th grade work.
Answers
Answer:
120 u^3
Step-by-step explanation:
for volume it would be length*width*height, but it doesnt have to be in that order. count each unit and multiply them :)
A chef used 0.65 cups of baking soda in a recipe. Which fraction is equivalent to this amount of baking soda in cups?
Answers
2. 65 and 100 both have a common factor of 5
3. You can simplify 65/100 to 13/20
Answer: 13/20
So the answer is 13/20
The image of B translated using (x + 2, y + 3) would have what coordinates?
Answers
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
Which of the following best describes a parabola?
OA. The locus of points equidistant from a given directrix and focus
B. The locus of points equidistant from a center
OC. The locus of points equidistant from a given line of symmetry and
focus
D. The locus of points equidistant from two given points
Answers
Explanation:
We can eliminate choices B, C and D for the following reasons
B) The set of points equally distant from a center makes up a circle, and not a parabola.C) The vertex point is 0 units away from the axis of symmetry, but the distance from the vertex to the focus is nonzero. This is one example showing we don't have the distances matching up. D) A straight line is the locus of points equally distant from two other points. More specifically, the perpendicular bisector is what this locus of points makes up.Choice A is the only thing left. It turns out that any point on the parabola is equally distant from the focus to the directrix. The directrix is perpendicular to the axis of symmetry. The distance from the vertex to the directrix is the same distance as the focal length.
The locus of points equidistant from a given directrix and focus is parabola. The correct option is A.
What is parabola?A parabola is a conic section, which is a curve formed by the intersection of a cone and a plane.
A parabola is defined as the set of all points equidistant from a given point known as the focus and a given line known as the directrix. The vertex of a parabola is the point at which the axis of symmetry intersects it.
This definition encompasses all parabolas, regardless of orientation, size, or spatial location.
It is a fundamental property of the parabolic shape and serves as the foundation for many of its mathematical properties and scientific and engineering applications.
Thus, the correct option is A.
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The vertices of a polygon are L(2,4) M (2,7) N (8,7) O (8,4) P(6 0), and Q(4,0)Graph the polygon. Then
find its area
Answers
According to the information, we can infer that the area of this polygon is 34 units².
How to find the area of the figure?To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.
Rectangle 1
6 * 3 = 18
Rectangle 2
2*4=8
Triangle 1
2 * 4 / 2 = 4
Triangle 2
2 * 4 / 2 = 4
Total Area
18 + 8 + 4 + 4 = 34
Based on the above, we can infer that the total area of the polygon is 34 ² units.
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NO LINKS!!
Water covers 708%, or about 3.61 x 10⁸ km², of the Earth's surface. Approximate the total surface area of the Earth. (Round your answer to the nearest million.)
____________ km²
Answers
510,000,000 million km²
Let us represent the total surface area of the earth as = x
We are told in the question that:
Water covers 70.8%, or about 3.61 × 10⁸ km², of the Earth's surface.
70.8% = 0.708
Hence,
0.708 × x = 3.61 × 10⁸
x = 3.61 × 10⁸/0.708
x = 361000000/0.708
x = 509,887,005.65km²
Therefore, the total surface are the earth approximately to the nearest million = 510,000,000 million km²
This is the number "510 million"
=======================================================
Work Shown:
The times 10⁸ means "times 100 million"
3.61 x 10⁸ = 3.61 * 100 million = 361 million
S = surface area of the earth
70.8% of S = water coverage area
70.8% of S = 361 million square km
0.708S = 361 million square km
S = (361/0.708) million square km
S = 509.887 million square km
S = 510 million square km
S = 510,000,000 square km
Select the table that represents the ordered pairs that are plotted in the coordinate plane.
A coordinate plane. A The x axis and y axis go to twenty. A block dot where the horizontal line one and vertical line four meet. A black dot where the horizontal line two and vertical line eight meet. A black dot where the horizontal line four and vertical line twelve meet. A black dot where the horizontal line eight and vertical line sixteen meet. A black dot where the horizontal line sixteen and vertical line twenty meet. There is a red line connecting the dots.
table with three columns, with the first column titled Sequence One, the second column titled Sequence Two, and the third column titled Ordered Pair. There are five rows below the heading row. Under Sequence One is the numbers one, two, four, eight, and sixteen. Under Sequence Two is the numbers three, seven, eleven, fifteen, and nineteen. Under Ordered Pairs is the ordered pairs one and three, two and seven, four and eleven, eight and fifteen, and sixteen and nineteen.
A table with three columns, with the first column titled Sequence One, the second column titled Sequence Two, and the third column titled Ordered Pair. There are five rows below the heading row. Under Sequence One is the numbers one, three, six, nine, and eighteen. Under Sequence Two is the numbers five, eight, eleven, fourteen, and seventeen. Under Ordered Pairs is the ordered pairs one and five, three and eight, six and eleven, nine and fourteen, and eighteen and seventeen.
A table with three columns, with the first column titled Sequence One, the second column titled Sequence Two, and the third column titled Ordered Pair. There are five rows below the heading row. Under Sequence One is the numbers one, two, four, eight, sixteen. Under Sequence Two is the numbers four, eight, twelve, sixteen, and twenty. Under Ordered Pairs is the ordered pairs one and four, two and eight, four and twelve, eight and sixteen, and sixteen and twenty.
A table with three columns, with the first column titled Sequence One, the second column titled Sequence Two, and the third column titled Ordered Pair. There are five rows below the heading row. Under Sequence One is the numbers one, three, six, nine, and eighteen. Under Sequence Two is the numbers two, five, eight, eleven, fourteen. Under Ordered Pairs is the ordered pairs one and two, three and five, six and eight, nine and eleven, and eighteen and fourteen.
Answers
Answer:
the x axis is going up to 2.8
Step-by-step explanation:
if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8
there goes your answer.
Answer:
the x axis is going up to 2.8
Step-by-step explanation:
What is the value of the expression 12.25 + (-17.75)?
Answers
Answer:
-5.5
Step-by-step explanation:
each student in ali’s class ran 1/4 of a mile. there are 36 students in the class. how many miles did the students run altogether?
Answers
Answer:
9 miles.
Step-by-step explanation:
If you multiply 36 by 0.25 (1/4 as a decimal), you get 9. So the class altogether ran 9 miles.
12 x satisfies the inequality: 2x -8 < 12
Create an inequality to represent all the possible values of x.
Answers
Answer: x<10
Step-by-step explanation:
2x-8<12
2x-8+8<12+8
2x<20
\(\frac{2x}{2}\)<\(\frac{20}{2}\)
x<10
A rectangular box with a volume of 400 ftcubed is to be constructed with a square base and top. The cost per square foot for the bottom is 20cents, for the top is 15cents, and for the sides is 1.5cents. What dimensions will minimize the cost?
Answers
The dimensions that minimize the cost are a square base and top with a side length of 3.11 ft, and a height of 41.2 ft.
We have,
Let the side length of the square base and top be x, and the height of the rectangular box be y.
Then we know that the volume of the box is 400 ft³, so we can write:
x² y = 400
We want to minimize the cost of constructing the box, which is given by the cost of the bottom plus the cost of the top plus the cost of the sides.
The cost of the bottom and top is given by the area of a square with side length x, multiplied by the cost per square foot:
Cost of bottom and top = 2x² (0.20) = 0.4x²
The cost of the sides is given by the area of the four rectangles that make up the sides of the box, which have dimensions x by y:
Cost of sides
= 4xy (0.015)
= 0.06xy
Total cost = Cost of bottom and top + Cost of sides
Total cost = 0.4x² + 0.06xy
We want to find the dimensions that minimize this cost, subject to the constraint that the volume of the box is 400 ft³.
We can use the volume equation to eliminate y, and obtain a function of x alone:
x² y = 400
y = 400 / x²
Substituting this expression for y into the cost equation, we get:
Total cost = 0.4x² + 0.06x(400 / x²)
Total cost = 0.4x² + 24 / x
To minimize this function, we take its derivative with respect to x, set it equal to zero, and solve for x:
d(Total cost)/dx = 0.8x - 24/x² = 0
0.8x³ - 24 = 0
x³ = 30
x = (30)^(1/3) = 3.11 ft (rounded to two decimal places)
Using the equation for y in terms of x, we can find the corresponding value of y:
y = 400 / x²
y = 400 / (3.11)² = 41.2 ft² (rounded to one decimal place)
Therefore,
The dimensions that minimize the cost are a square base and top with a side length of 3.11 ft, and a height of 41.2 ft.
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Find the sum of 4a-a^3) + ( 2a^3-5a^2+8)
Answers
Answer:
The answer is a³-5a²+4a+8
Step-by-step explanation:
A driveway is being surfaced with concrete pavers in the shape of regular hexagons. If the driveway is 24-ft by 26-ft rectangle, and the pavers measure 6 inches across the flats, how many pavers are needed?To surface a driveway about _ pavers are needed
Answers
The number of pavers required is 961.
The area is the region defined by an object's shape. The area of a shape is the space covered by a figure or any two-dimensional geometric shape in a plane.
Given data
A driveway is being surfaced with concrete pavers in the shape of regular hexagons. If the driveway is a 24-by-26-foot rectangle with pavers 6 inches wide across the flats.
We have to determine how many pavers are needed
We know that area of a regular hexagon
A = (3√3)/2 a^2
= (3√3)/2 〖(6)〗^2
= (3 x 1.732)/2 x 36
= 93.528 sq.inches
Now area of rectangle
= l x w
= 24 x 26 x (12)2 (1feet = 12 inches)
= 89856 sq.inches
Now pavers required
= 89856/93.528
= 960.73
= 961
Therefore the number of pavers required is 961.
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What is the best name of the line from A to B?
Answers
Answer:
Chord
Step-by-step explanation:
Tiffany said that there is no correlation between being a girl and playing in an intramural basketball league. Do you agree or disagree with Tiffany? Explain.
A.
Disagree, because the frequency indicates that there is a negative correlation to being a girl and being in an intramural league.
B.
Agreed; there is no correlation.
C.
Agree, because the frequency indicates that there is a positive correlation to being a girl and being in an intramural league.
Answers
Answer:
b
Step-by-step explanation:
A parallelogram is made up of a rectangle with a base of 12 centimeters (cm) and a height of 5 cm, and two triangles, each with a base of 2 cm and height of 5 cm. Jeremy calculates the area of the parallelogram by multiplying the base and height of the rectangle to get 60 cm2.
Is Jeremy's answer correct? Why or why not?
Select the option that correctly answers both questions.
No, he forgot to multiply by 12 when calculating the area of the rectangle.
Yes, he correctly calculated the area of the parallelogram as b⋅h.
No, he forgot to add the area of the triangles to the area of the rectangle.
Yes, he correctly calculated the area of the parallelogram as 12bh.
Answers
It is said that Jeremy thought he solved for the area of the whole parallelogram correctly by multiplying the base and height of the rectangle, which is just a part of the whole parallelogram.
Jeremy’s answer is incomplete, he only calculated the area of the triangle as the answer.
This is because one way of finding an area of a parallelogram is dividing the shape into a rectangle with a triangle on each side.
The real area of the parallelogram is 70 cm^2
(with areas of each triangles added)
With that being said, the formula of a parallelogram that is said is:
A = bh
Which means a height perpendicular to the base of the whole paralleogram.
4 2/7 ÷ 1 1/4
17 divided by 5/9
2/6 divided by 3 1/3
Answers
Answer:
3 3/7
30 3/5
1/10
Step-by-step explanation:
See the image
I NEED ANSWERS ASAP I GOT A 50
Answers
I dont understand you already answered
Answer: I would love to help you but this looks like a test am I'm sure it's to see where you are in learning all I can say is to try your best and if you don't know the answer looks at notes or whatever you have to help hope you have a good day lad.
Which expression is equivalent to -51 - (-60)?
Answers
Answer:
The answer is 9.
Step-by-step explanation:
I had the question on one of my quizzes.
A company logo
is shaped like an equilateral triangle with
2-in.-long sides. What is the height of the
logo? Round to the nearest tenth.
Answers
\(\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=sides\\[-0.5em] \hrulefill\\ s=2 \end{cases}\implies h=\cfrac{2\sqrt{3}}{2}\implies h=\sqrt{3}\implies h\approx 1.7\)
What is the solution to the following algebraic equation z+10 =11+4 * Your answer
Answers
Answer:
ummmmmmm okkkkkkkkkkk
Step-by-step explanation:
dddddddddddddddddddddddddddddd
Answer:
z = 5
Step-by-step explanation:
What is the solution to this question?
Answers
Answer:
Step-by-step explanation:
To solve the equation (-1)/(x-5) = 2/(x+4), we can start by cross-multiplying:
(-1)(x+4) = 2(x-5)
Expanding both sides and simplifying, we get:
-x - 4 = 2x - 10
Bringing all the x terms to one side and all the constant terms to the other, we get:
3x = 6
Dividing both sides by 3, we get:
x = 2
So the solution to the equation is x = 2. However, we need to check if this value of x makes the denominators of the original equation non-zero. Plugging x = 2 into the original equation, we get:
(-1)/(2-5) = 2/(2+4)
Simplifying, we get:
1/3 = 1/3
Since both sides are equal, the solution x = 2 satisfies the original equation. Therefore, the only solution to the equation is x = 2.
Answer: x = 2
Step-by-step explanation:
\(\boldsymbol{\sf{The\:exercise\:is \longmapsto \ \dfrac{-1}{x-5}=\dfrac{2}{x+4} }}\)
We cross multiply.
-(x + 4) = 2(x - 5)
We apply the multiplicative law of distribution.
-x -4 = 2(x - 5)
-x - 4 = 2x - 10
We rearrange the unknown terms to the left side of the equation.
-x - 2x = -10 + 4 <===Combine as terms===> -3x = -10 + 4
We calculate -10 + 4 = -6.
-3x = -6
We divide both sides of the equation by the coefficient of the variable.
\(\boldsymbol{\sf{x=\dfrac{-6}{-3} \iff \ x=\dfrac{6}{3} }}\)
x = 2
Please help me with this question
Answers
At summer camp, 40 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. Outcome Frequency Swimming 16 Hiking 24 Compare the probabilities and determine which statement is true. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 24 over 40. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40. The theoretical probability of swimming, P(swimming), is 16 over 24, but the experimental probability is one half. The theoretical probability of swimming, P(swimming), is 24 over 40, but the experimental probability is one half.
Answers
The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.
We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.
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what did the ancestral puebloans do to make the growing need for housing
Answers
Answer: How did the Ancestral Puebloans adapt their housing to the building materials that were available in the arid Southwest? They built some houses of stone blocks against canyon walls and built freestanding villages of stone and adobe brick.
Step-by-step explanation: