Answer:
(3,1)
Step-by-step explanation:
5x + 3y = 18
2x + 3y = 9
So we can use elimination here to solve this system of equations by multiplying the second equation by -1
Now we have:
5x + 3y = 18
-2x - 3y = -9
Now we add straight down and combine like terms
The y terms cancel and we are left with 3x = 9, dividing both side by 3 we get x = 3
Now we can plug this x value into one of the original equations to solve for our y value
I will use the first equation: 5(3) + 3y = 18 → condensing the terms we get 15 + 3y = 18 → subtracting the 15 from both sides we get 3y = 3 → dividing both sides by 3 we get y = 1
The solution to this system of equations is (3, 1)
One ring in the Stonehenge monument was originally made of 30 stones, each about 6 1/2 feet wide, 3 feet thick, and 13 feet tall. What is the approximate volume of the 17 stones that
remain today?
Answer: V ≈ 4309.5 ft³
Step-by-step explanation: To get the answer to this word problem all we have to do is multiply height * thickness * width.
First, let's turn 6 [tex]\frac{1}{2}[/tex] into a decimal...
1 ÷ 2 = 0.5
6 [tex]\frac{1}{2}[/tex] = 6.5
6.5 * 3 * 13 = 253.5
Now, we have to multiply it by the remaining amount of stones...
253.5 * 17 = 4309.5
V ≈ 4309.5
I hope this helps!
What is the following product?
(x1/7-3-6)(<1/7-3/8
Answer:
i think its 4.3555556
(not 100% sure)
Step-by-step explanation:
Kai used a protractor to measure the angle below. Is Kai using the protractor correctly? Explain your answer. If Kai is
using it incorrectly, explain to him how to use it correctly.
Answer:
he is using it correctly
Step-by-step explanation:
he is using it correctly because the bottom line of the angle matches with the 0° line on the protractor.
What is the difference? StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction
Answer:
b
Step-by-step explanation:
The difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].
The given parameters:
[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}[/tex]
The difference between the two fractions is calculated as follows;
[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}\\\\= \frac{x + 5}{x + 2} - \frac{x+ 1}{x(x + 2)}\\\\[/tex]
The lowest common multiple (L.C.M) of the two denominators = x(x + 2)
[tex]= \frac{x(x + 5) - (x + 1)}{x(x + 2)} \\\\= \frac{x^2 + 5x - x - 1}{x^2 + 2x} \\\\= \frac{x^2 + 4x - 1}{x^2 + 2x}[/tex]
Thus, the difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].
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∠A and \angle B∠B are complementary angles. If m\angle A=(x+9)^{\circ}∠A=(x+9)
∘
and m\angle B=(7x-15)^{\circ}∠B=(7x−15)
∘
, then find the measure of \angle B∠B.
Answer:
To find the complement of an angle x, subtract x's measurement from 90 degrees: 90 degrees - x degrees = the measure of x's complementary angle. To find the supplement of an angle y, subtract y's measurement from 180 degrees: 180 degrees - y degrees = the measure of y's supplementary angle.
Step-by-step explanation:
A jacket is marked down 55% off the original price. If the original price was $160.00, what is the sale price
of the jacket before sales tax?
Answer:
72
Step-by-step explanation:
because when you do 55% out of 160 it will give you 88 which you subtract from 160 and then you will end up with 72
For 9x + 25 = 88, Deena wrote the situation “I bought some shirts at the store for $9 and received a $25 discount. My total bill was $88. How many shirts did I buy?”
b. Rewrite the equation to match Deena’s situation
Answer:
Step-by-step explanation:
9x + 25 = 88
9x = - 25 = 88
9x = - 63 (divide both sides by 9)
x = - 7
CHECK:
9x + 25 = 88
9 (-7) = 88 - 25
- 63 = - 63
Can someone help me please
Answer:length is 24
Step-by-step explanation:
Describe the overall shape of the histogram.
Answer:
Since there is one peak, we can call this unimodal. As the numbers do not exactly match up (for example, 20-39 is 21 and 60-79 is 23), this is not symmetric, but it is approximately symmetric as the numbers are similar
40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
A histogram is a bar graph-like representation of data that buckets a range of classes into columns along the horizontal x-axis.
The vertical axis was represented by number of school students.
The horizontal axis is represented by number of texts.
The As the numbers do not exactly match up (for example, 20-39 is 21 and 60-79 is 23), this is not symmetric, but it is approximately symmetric as the numbers are similar
At 40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students
Hence, 40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students.
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Which equation represents the statement "One-fourth more than a number is equal to two-thirds?"
Answer: 1/4 + x = 2/3
Step-by-step explanation:
One fourth is written as 1/4, more than is an addition sign, a number means “x”, is equal means = (equal sign), and two thirds is written as 2/3
Answer:
[tex]x + \frac{1}{4} = \frac{2}{3}[/tex]
Step-by-step explanation:
The statement "One-fourth more than a number is equal to two-thirds" can be expressed in the mathematical form as given below:
Let the number be x.
Therefore, One-fourth more than a number = [tex]x + \frac{1}{4}[/tex]
Now,
[tex]\huge \red{\boxed{x + \frac{1}{4} = \frac{2}{3}}}[/tex]
This is the required answer.
Write the standard equation of a circle with center (4, 1) and radius 5.
Answer:
(x−4)^2+(y−1)^2=25
Step-by-step explanation:
What is an easy way to remember what a box plot it
Answer:
A box and whisker map is a diagram that shows details from a five-part description. It is also called a boxplot. There was an mistake. This form of diagram demonstrates the structure, core importance and volatility of the distribution.
Step-by-step explanation:
Hope this helps
Could somebody help me on this please if you’re good at geometry
Answer:
which one is the one u need help on
Which expression gives the volume of a sphere with radius 5?
O A. 7(52)
B. 47(52)
C. 4t(53)
O D. (59)
SIIAMIT
Answer:
D
Step-by-step explanation:
r = 5 units
[tex]Volume=\frac{4}{3}\pi r^{3}\\\\ =\frac{4}{3}\pi (5)^{3}\\[/tex]
1. What are the coordinates of the vertex of the graph? Is it a maximum or minimum?
Answer:
Hi there!
The correct answer is: (0,1) maximum
Step-by-step explanation:
vertex: the point where the parabola crosses its axis of symmetry.
when the graph is concave down, maximum
when the graph is concave up, minimum
Answer:
Coordinates of the vertex: (0, 1), and it is a maximum.
this corresponds to the second of the listed answer options.
Step-by-step explanation:
Notice that the vertex of the parabola is at the very top of the curve, and corresponds to the maximum value that the coordinate "y" can reach for the parabola (y = 1)
The position of that vertex is exactly at the point where x = 0 and y = 1, so this can be written as:
(0, 1)
A.) 4.7 feet
B.) 6.5 feet
C.) 30.7 feet
D.) 5.5 feet
E.) 22.3 feet
The roller coaster cars are designed as shown, with a yellow racing stripe along the diagonal of the parallelogram face. Determine the length of the racing stripe.
Answer:
B
Step-by-step explanation:
6.5ft I'm sure that's the answer
help me please cause i dont understand i really need this question right know ill give you 20 points if you help me
15x<30
Step-by-step explanation:
Basically 15x<30 is saying that 15x is less that 30. So that means x can be any number as long as when multiplied to 15 it has to be less then 30. So they only number available is 1. So 15(1)<30. Im not sure what the question is but X=1
Answer:
x < 2 or (-∞,2)
Step-by-step explanation:
Treat the inequality sign like an = sign at this point. Don't make it more complicated than it really is. So, to figure it out, you first need to divide each side by 15 so you can get x all by itself:
[tex]\frac{15x}{15} < \frac{30}{15}[/tex]
Now we have:
x < [tex]\frac{30}{15}[/tex]
We know (using simple math) that 30 divided by 15 is 2, which gives us:
x < 2.
In interval notation, this would be (-∞,2). [Remember that the parentheses show that the interval does NOT include the specified numbers, which is what < denotes in our equation.] Hope this helped!
Please help me I need help with this assignment geometry math 13-16 and it is hard for me I been struggling with it and I am still so I would appreciate if you help me and it is due by today at 7:00pm so please answer it and I will mark you Brainly
Answer:
Hi there!
The following answers are:
14: to determine whether or not the slopes are perpendicular to one another is the negative reciprocal. In other words, if the first slope is m, the perpendicular slope is -1/m
to determine whether or not the slopes are parallel, the slopes are the same. In other words, if the first slope is m, then the parallel slope is m
So in other words: 1. perpendicular 2. neither 3. perpendicular 4. parallel
15: There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.
16: Dilation is the transformation that changes the size of a figure.
Answer:
13. It says 13c so I am thinking there was 13a and 13b so I can't really answer that.
14.
1. perpendicular.
2.parallel.
3. neither.
4. parallel.
15. rotation, reflection, glide reflection and translation.
16. dilation.
Step-by-step explanation:
#14 you just need to use numbers to figure it out. for example 1. lets say the starting point is (0,2) m=3 you will go 3 squares up and one square right and end up at (5,1) but where for m=-1/3 you will go 1 square down and three squares right. You can do this until you have lines and see from the image you get whether it is perpendicular, parallel or neither.
#15 and 16 this are what I think are the answers but try checking it out online too. You might find the answers you are looking for there.
If Greg Mills is paid 12¢ per unit and produces 170, 165, 149, 157, and 181 units in the 5 days of one week, what is his pay?
get the total units made:
170 + 165 + 149 + 157 + 181 = 822 units.
Multiply by pay:
822 x 0.12 = $98.64
Simplify: 5 - 2(3x – 4) + X
Answer:
4(x+3) -3 (x+2)
Step-by-step explanation: I hope that helps :)
Answer:
13 - 5x
Step-by-step explanation:
5-2(3x-4)+x
Final result:
13 - 5x
Step by step solution:
Step 1:
Equation at the end of step 1:
(5 - 2 • (3x - 4)) + x
Step 2:
Final result :
13 - 5x
Which is the equation in slope-intercept form for the line that passes through (3, 7)
and is perpendicular to 3x - 5y = 8?
Answer:
[tex]y = - \frac{5}{3} x + 12[/tex]
Step-by-step explanation:
First, rewrite the given equation in the form of y=mx+c.
m is the gradient while c is the y-intercept.
3x-5y=8
5y= 3x -8
[tex]y = \frac{3}{5} x - \frac{8}{5} [/tex]
Thus, the gradient of the given equation is ⅗.
The product of the gradients of perpendicular lines is -1.
(gradient of line)(⅗) = -1
gradient of line= -1 ÷⅗
gradient of line= [tex] - \frac{5}{3} [/tex]
[tex]y = - \frac{5}{3} x + c[/tex]
To find the value of c, substitute a coordinate.
When x=3, y=7,
[tex]7 = - \frac{5}{3} (3) + c[/tex]
7= -5 +c
c= 7+5
c= 12
Hence, the equation of the line is [tex]y = - \frac{5}{3} x + 12[/tex].
Hi!
Got a question!
Rectangular container holds 70 litres of water when full. Its height is 70 cm.What is its base area?
Thanks!!
And please explain!
Answer:
1000cm^3
Step-by-step explanation:
capacity=base area times height, convert litres to cm^3,1000cm^3=1l,equate Base area=capacity/height (70000/70)=1000
The scatter plot below shows the relationship between the outside temperature and the number of cups of hot chocolate sold at an event. Which statement describes the data?
A. There is no association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
B. There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold
C. There is a positive linear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
D. There is a negative linear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
Answer:
B
Step-by-step explanation:
The statement describes the data is " There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold". Option B is correct.
What is a scatter plot?Generally, a scatter plot is simply defined as a collection of dots drawn on two axes, horizontal and vertical.
In conclusion, observing a scatter plot of the relationship between the outside temperature and the number of cups of hot chocolate sold at an event, we see There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
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A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of 10 Superscript negative 6 meters. The virus has a diameter of 10 Superscript negative 7 meters. Which statement accurately compares the sizes of the specimens? The diameter of the bacterium is 10 times greater than that of the virus. The diameter of the bacterium is StartFraction 1 Over 100 EndFraction times as great as that of the virus. The diameter of the virus is 10 times greater than that of the bacterium. The diameter of the virus is StartFraction 1 Over 100 EndFraction times as great as that of the bacterium.
Answer: A
Step-by-step explanation:
The diameter of the bacterium is 10 times greater than that of the virus.
The statement that accurately and precisely compares the sizes of the specimens can be seen in the first option.
What is a Superscript?A Superscript is used for the representation of a power at which a number is being raised to. In essence, if we have [tex]a^n[/tex];
a is the base number n is the superscriptFrom the given information;
The diameter of the bacterium = [tex]\mathbf{10^{-6}}[/tex]The diameter of the virus = [tex]\mathbf{10^{-7}}[/tex]We should note that as the exponent increase by -1, it takes an addition [tex] \mathbf{\dfrac{1}{10}=10^{-1}} [/tex]
Therefore, we can say that the diameter of the bacterium is 10 times greater than that of the virus.
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(4.53−d)· 14/27 =− 7/9
Answer: d= negative 3.03
Step-by-step explanation:
MATH will give brainliest
Answer:
4th choice
Step-by-step explanation:
Volume of cylinder: 2(pi)r^2+2pi(r)h
Answer:
The last one
Step-by-step explanation:
SA
=
2
π
r
h
+
2
π
r
2
in the diagram below DE and EF are tangent to O what is the measure of DF
The measure of DF is 100°.
What are the 5 rules of congruence?Two triangles are congruent if they satisfy the 5 conditions of congruence. They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS) and right angle-hypotenuse-side (RHS).
What is the rule of congruent?Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
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please give me a hand
Answer:
2
Step-by-step explanation:
7x - 2x = 13 - 3
5x = 10
x = 2
Answer:
Start by subtracting 2x from both sides
5x + 3 = 13
then subrtact 3 from both sides
5x = 10
divide both sides by 5 and you get
x=2
Consider the figure shown on the coordinate plane. What are the coordinates of the midpoint of line segment CB?
A) (0, 3/2)
B) (1, 0)
C) (3/2,0)
D) (2, 1)
Answer:
im pretty sure its C (2/3, 0) actually
HELP!
The pattern 9, 18, 36, 72, ________ follows the rule multiply by 2. What is the next number in the pattern?
A. 144
B. 148
C. 216
D. 244
Answer:
144
Step-by-step explanation:
................
Answer:
A. 144
Step-by-step explanation:
as the question says, the pattern is going by multiple of two. 9 * 2 is 18, 18 * 2 is 36, 36 * 2 is 72, 72 * 2 must be 144.