Last year, the ratio of the ages of Mel and her friend is 3:4. Next year, the ratio will be 4:5. Form two simultaneous equations using the information above, and solve them by using the elimination method. Hence find their ages now.
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Answer:
Above is the answer, coupled with detailed step-by-step explanations. Thank you!
Related Questions
On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}
Answers
Answer:
Step-by-step explanation:
Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.
The domain is all real numbers. The range is {y | y ≤ 16}
How to determine the domain and the range?The attached graph completes the question
Calculating the domain
The function is given as:
f(x) = -x² - 2x - 15
The above function is a parabola or a quadratic function.
Quadratic functions have their domain to be the set of all real numbers.
Hence, the domain is all real numbers.
Calculating the range
On the graph, we have the maximum value of y to be:
Maximum = 16
Because the parabola opens down, the range would be:
y ≤ 16
Hence, the range is {y | y ≤ 16}
Read more about domain and range at:
https://brainly.com/question/2264373
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Kindly help out with this question!
Answers
Step-by-step explanation:
33+22+90=145
180-145=35
x=180-35
x=145
So you do 33+22+90 = 145
Then you do 180-145 which is 35 degrees.
Now you know the angle inside of x is 35. We need to find x.
Because a straight line is 180 degrees, you need to do 180-35 which is 145 degrees.
So x = 145
There are 70 seats on a train. 30% of the seats are empty. How many empty seats are there
on the train?
Answers
Answer:
21
Step-by-step explanation:
70/10=7
So 7 people are 10% of the train.
10*3=30
7*3=21
21 empty seats
Answer
21
Step-by-step explanation:
Translate this sentence into a equation. 70 is the product of Delilah‘s age and 5. use the variables d to represents Delilah’s age
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Answer:
Step-by-step explanation:
i dont know.
Pls solve this with solution
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anybody help please hm
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2 Sarah's recipe for energy bars calls for 5 cup of dried fruit. How many cups of dried fruit will she need to make la batches of energy bars?
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Answer:
5 cups of dried fruit?
Step-by-step explanation:
unless something is missing it's 5 cups
The following stem-and-leaf plot shows a data set.
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
How many observations are in this data set?
47
14
19
15
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=============================================================
Explanation:
Ignore the stems. We count out the number of leaves
row one: 3 leaves (3,7,7)row two: 5 leaves (2,4,4,4,5)row three: 4 leaves (1,5,8,9)row four: 3 leaves (0,6,7)So we have a total of 3+5+4+3 = 15 leaves which correspond to 15 data values.
Please help me 50 POINTS and BRAINLIEST TO CORRECT ANSWER!!!!!!!
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Answer:
your answer is the last option
Step-by-step explanation:
There is no way to prove what the length for line WU is. You can find the side lengths for VW and VU but not WU. Therefore the last option is the correct answer
what does the point (60,20) mean in the graph math
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A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
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Answer:
V = 87.92 cubic cm
Step-by-step explanation:
V(cyl) = πr²h
V = 3.14(2²)(7)
V = 87.92
Look at this graph.
What is the equation of the line in slope-intercept form?
EXPLAIN HOW YOU GOT IT
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Answer:
y = x - 70
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 70) and (x₂, y₂ ) = (70, 0) ← 2 points on the line
m = [tex]\frac{0-(-70)}{70-0}[/tex] = [tex]\frac{0+70}{70}[/tex] = [tex]\frac{70}{70}[/tex] = 1
The line crosses the y- axis at (0, - 70 ) ⇒ c = - 70
y = x - 70 ← equation of line
Find the length of side x to the nearest tenth.
300
x
1
60°
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Answer:
x=65
Step-by-step explanation:
Anyone know these answers for algebra? (There's 16)
1. 7/n-6=9/5
2. r-2/5=6/7
3. A+6/5=7/2
4. 10/2=x-9/4
5. 8/7=9/n-7
6. p-7/p=10/8
7. N+9/3=n/4
8. N+8/6=n/4
9. 7% of what is 20.4
10. 71 is 38% of what
11. What percent of 158 is 6
12. 390% of what is 150
13. 47% of what is 91.6
14. 10% of what is 159
15. 34% of what is 126
16. 91% of what is 48
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PLS HELP SO CONFUSED POSSIBLE BRANLIEST
The figure below shows the letter Z and four of its transformed images—A, B, C, and D:
A coordinate plane is shown. The letter Z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. A is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. B has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. C has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. D has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.
Which of the four images was formed by a reflection of the letter Z?
A
B
C
D
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Answer: The correct answer is A.
Step-by-step explanation: The answer is A, because a reflection would be reflected, therefore it is on the right side of the graph and the Z is facing the other way as if it were a literal reflection.
A
give the other brainliest
Select from the drop-down menus to correctly complete the proof. To prove that 4π is irrational, assume the product is rational and set it equal to ab, where b is not equal to 0: 4π=ab. Isolating π gives π=a4b. The right side of the equation is Choose.(rational or Irrational).. . Because the left side of the equation is Choose.(rational or irrational).. , this is a contradiction. Therefore, the assumption is wrong, and the number 4π is Choose(rational or Irrational)... .
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The product of a rational number and an irrational number is an irrational
number.
The correctly completed proof is presented as follows;
To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].
The right side of the equation is irrational, because the left side of the
equation is irrational, this is a contradiction.
Therefore, the assumption is wrong and the number 4·π is irrational.
Reasons:
The proof is presented as follows;
With the assumption that 4·π is rational, we have;
[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]
Where;
b ≠ 0
Making π the subject of the above formula, by isolating, it, we have;
[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]
The right side of the equation is rational, however, the left side of the
equation π is irrational, which results in a contradiction, therefore, the
product 4·π is an irrational number.
Learn more about irrational numbers here:
https://brainly.com/question/1625874
Answer:
irrationalirrationalirrational
what is this answer?
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Answer:
The answer is 16.
Sorry if it's incorrect.
Step-by-step explanation:
Explanation:
24 = 2 × 2 × 2 × 2 = 16.
name the relationship of these angles
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2) adjacent
3) adjacent
4) complementary
5) vertical
6) adjacent
7) linear pair
8) vertical
Rewrite using a single positive exponent.
(5-3)*
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To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.
Step-by-step explanation:
Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below if you have it)
But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:
[tex]\frac{1}{5^3}[/tex]
This is our final answer.
The reciprocal indices law states that:
[tex]x^{-n} = \frac{1}{x^n}[/tex]
Hope this helps!
Hello could someone help me will name brainliest. No links please
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help ASAP please hmmmm
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Answer:
It has to be D.
Whats the answer? i need help
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Answer:
x = 2 and x + y = -3
Step-by-step explanation:
With the xy example filled, I could work out that x was 2 by realising that if y was -5, then to get to -10 it'd have to be multiplied by two, and I just added -5 and 2 after working out x for the bottom grid.
Hope this helps and you have a good day!
Left box is two (2) and the bottom box is negative three (-3)...
...You are given y, which is -5. We need to figure out x to fill the other 3
boxes or diamonds. xy is another way of saying x * y, so we know that
x * -5 = -10. We can use division to solve this. -10 / -5 = x, or 2. Now we can
fill in the top and left diamond. All that's left is to add x and y, or 2 and -5
together.
2 + -5 = -3
Top diamond : -10
Left diamond : 2
Bottom diamond : -3
Right diamond : -5
Hopefully this helps.
Draw the polygon with the given vertices in a coordinate plane.
(3,2),(4,7),(6,0)
I will give you brainlist if you draw it out too
PLEASE TYPE IN THE COORDINATES
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Answer:
Step-by-step explanation:
What is 0.27845 rounded to 3 decimal places
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Answer:
0.278
Step-by-step explanation:
The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. The face of a clock is divided into 12 equal parts. Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62. 8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31. 4 inches. The length of the minor arc between 6 and 7 is approximately 5. 2 inches.
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The accurate statements are:
b. The circumference of the clock is approximately 62.8 inches. c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
The given parameters are:
[tex]n = 12[/tex] --- number of parts
[tex]r = 10[/tex] --- the radius
(a) The central angle
Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.
So, the measure of the two sections is:
[tex]\theta = 30^o \times 2[/tex]
[tex]\theta = 60^o[/tex]
Hence, (a) is false
(b) The circumference
This is calculated using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 \times 3.14\times 10[/tex]
[tex]C = 62.8[/tex]
Hence, (b) is true
(c) The measure of the minor arc
Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.
So, the measure of the four sections is:
[tex]\theta = 30^o \times 4[/tex]
[tex]\theta = 120^o[/tex]
Hence, (c) is true
(d) The length of the major arc
Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.
So, the measure of the seven sections is:
[tex]\theta = 30^o \times 7[/tex]
[tex]\theta = 210^o[/tex]
The length of the arc is:
[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]
So, we have:
[tex]L = \frac{210}{360} \times 2 \times 3.14 \times 10[/tex]
[tex]L = \frac{13188}{360}[/tex]
[tex]L = 36.3[/tex]
Hence, (d) is false
(e) The length of the minor arc
There is only one section between points 6 and 7
So, the measure of the section is:
[tex]\theta = 30^o[/tex]
The length of the arc is:
[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]
So, we have:
[tex]L = \frac{30}{360} \times 2 \times 3.14 \times 10[/tex]
[tex]L = \frac{1884}{360}[/tex]
[tex]L = 5.2[/tex]
Hence, (e) is true
Read more about segments and arcs at:
https://brainly.com/question/14965059
Answer:
-B
-C
-E
Step-by-step explanation:
just took the test...
I got them right
This is a true or false question. (Question in the photo)
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Answer:
Step-by-step explanation: The answer is False.
Answer:
True my mom helped
Step-by-step explanation:
that's all I know
Determine the sign of the trigonometric values listed below.
(i) sin 250°
(ii) tan 330°
(iii) cos(-40°)
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Answer:
(i) sin 250°: negative
(ii) tan 330°: negative
(iii) cos(-40°): positive
Step-by-step explanation:
how
5. Shane has no more than $200 to spend on a
basketball game for next weekend. He spends
$44 on fees. If the tickets are sold at $78 each,
which inequality models t, the number of tickets
Shane is able to buy?
Answers
Answer:
[tex]t\leq2[/tex]
Step-by-step explanation:
200 - 44 = 156 dollars which Shane can use to buy tickets
156 >= 78t
t<=2
Therefore the maximum number of tickets he can buy is 2
0.36 as a standard form
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Answer:
0.36 x 10⁰Step-by-step explanation:
find the quadratic equation of -9+3p2=-12
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Answer:
How to solve your problem-
9 + 3 2 = − 1 2
Step-by-step explanation:
− 9 + 3 2 = − 1 2
9+3p2=-12
3 2 − 9 = − 1 2