Answers
Answer:
The answer is option 1 and 3.
Step-by-step explanation:
Firstly, you have to find the simplest form of the ratio by dividing the common numbers :
[tex]10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8} [/tex]
Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :
Option 1,
[tex]30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 2,
[tex]25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)[/tex]
Option 3,
[tex] \frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 4,
[tex]8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)[/tex]
Option 5,
[tex]5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)[/tex]
Related Questions
When multiplying two negative integers, what is the sign of the product?
positive
negative
zero
one
Mark this and return
Save and Exit
y Next
Sul
Answers
Answer:
positive
Step-by-step explanation:
negative and negative = positive
positive and positive = positive
positive and negative = negative
negative and positive = negative
hope u got what u needed
Answer:
The correct answer is positive
Step-by-step explanation:
Negitive x Negitive = Positive
Positive x Positive = Positive
Negitive x Postive = Negitive
Positive x Negitive = Negitive
This should help you for next time you have a question like this.
I hope this helps.
I need help I keep getting it wrong
Answers
Find the area of the triangle and multiply by the length of the prism.
Area = 1/2 x 8x3 = 12 square yds.
Volume = 12 x 6 = 72 cubic yards.
Find the value of x.
Please help
Answers
Answer:
x=5
Step-by-step explanation:
7/5=(2x-3)/x
5(2x-3)=7x
3x=15, x=5
Would someone help me with this?
Answers
Answer:
A,E
Step-by-step explanation:
A The minimum number of pages read was 24. The smallest number is the dot on the left side which is at 24
E The mean is the middle line in the box, this is at 48
which number produces an irrational number when multiplied bby 1/2
Answers
Can I get help with this?
Answers
Answer:
Around 13.7
Step-by-step explanation:
The cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse. In this case, this means:
[tex]\cos 70= \dfrac{x}{40} \\\\x=40\cdot \cos 70\approx 13.7[/tex]
Hope this helps!
Which number is an integer?
-3/4 1/5 2 42/3
Answers
The Answer:
2 is an integer.
Answer:
c
Step-by-step explanation:
edgeinuity
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Answers
Answer:
(x+2)²+1
Step-by-step explanation:
because the graph we know that gx is (x+2)²+1
The price of a vase was increased by 4% to £22. What was the price before the increase? Give your answer to the nearest penny.
Answers
Answer:
The price before the increase was £21.20
Step-by-step explanation:
Now, let the former price before the increment be £x
The increment would be 22-x
Mathematically, the percentage increment = difference between the prices/old price * 100%
Thus, we have(
(22-x)/x * 100 = 4
100(22-x) = 4x
2200-100x = 4x
100x + 4x = 2200
104x = 2200
x = 2200/104
x = 21.154
which is x = 21.2 to the nearest penny
Answer:
21.15
Step-by-step explanation:
22 × 10 = 220
100%+4%=104
104 ÷ 10 = 10.4
220 ÷ 10.4 =21.15384615
To the nearest penny it would be 21.15
1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
on average 6 km/h faster than Evan, calculate her average speed and the time taken
for the journey.
Answers
Answer:
Her average speed is 94 km/h
Time taken is 3.5 hours
Step-by-step explanation:
Let Evan’s average speed be x km/h.
now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h
Mathematically, time = distance/speed
so; since time is the same; we have
308/x = 329/(x + 6)
cross multiply
329(x) = 308(x + 6)
329x = 308x + 1848
329x-308x = 1848
21x = 1848
x = 1848/21
x = 88 km/h
Meghan average speed = x + 6 = 88 + 6 = 94 km/h
Time taken would be 329/94 = 3.5 hours
Find the third side in simplest radical form
Answers
=========================================================
Work Shown:
We see that one of the legs is unknown. We'll call this 'a'.
The other leg is b = 2, which becomes b^2 = 4
The hypotenuse (always opposite the 90 degree angle) is c = sqrt(58). This turns into c^2 = 58 when you square both sides.
---------
Use the pythagorean theorem to get
a^2+b^2 = c^2
a^2+4 = 58
a^2 = 58-4
a^2 = 54
a = sqrt(54)
a = sqrt(9*6)
a = sqrt(9)*sqrt(6)
a = 3*sqrt(6)
The third side in simplest radical form is x=3[tex]\sqrt{6}[/tex]
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios, metric relationships, or the Pythagorean Theorem.
For solving this question, you need to apply the Pythagorean Theorem that says: (hypotenuse)²= (leg1)²+(leg2)².
The question gives:
Hypotenuse= [tex]\sqrt{58}[/tex]Leg1= 2Leg2= third side = unknowApplying the Pythagorean Theorem, you have:
([tex]\sqrt{58}[/tex])² = 2²+ x²
58=4+x²
x²=58-4
x²=54
x=[tex]\sqrt{54}[/tex]
x=[tex]\sqrt{2*3^3}[/tex]
x=[tex]\sqrt{2*3^2*3}[/tex]
x=3[tex]\sqrt{2*3}[/tex]
x=3[tex]\sqrt{6}[/tex]
Learn more about the Pythagorean theorem here:
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#SPJ6
Mary is also a civil engineer, and she is building a triangular community garden. She knows two angles in the triangular garden, diagramed below. A triangle has angle measures 92 degrees, 27 degrees, and a degrees. The exterior angle to a degrees is b degrees. What are the measures of interior angle a and exterior angle b? a = ° b = °
Answers
Answer:
A= 61
B=119
Step by step:
a; interior angle
180-(27+92)
=180(119)
=61
b; exterior angle
180-61
=119
Answer: 61 and 119
Step-by-step explanation:
Find the sum of ( 1- 1/n) + (1 - 2/n) + ( 1 - 3/n)...upto n terms
Answers
Answer:
(n-1) / 2
Step-by-step explanation:
We have that the sum has the form of:
Sn = n / 2 [2 * a + (n-1) * d]
we compute the terms of a and d
a = 1 - 1 / n
a = (n - 1) / n
, that is, the first term, in the case d is the subtraction between the second and the first term, thus:
d = 1 - 2 / n - (1 - 1 / n)
d = 1 - 2 / n - 1 + 1 / n
d = - 1 / n
now if replacing these values:
Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)
Sn = n / 2 * [2 * (n-1) - (n-1)] / n
Sn = 1/2 * (n-1)
Therefore, the value of that sum is (n-1) / 2
David wants to find the solutions of this system of equations: –4x – 7 = y x2 – 2x – 6 = y Which statement is true? Plz its urgent!!
Answers
Answer:
(-1, -3)
Step-by-step explanation:
The given equations are:
[tex]-4x-7=y ...... (1)[/tex]
and
[tex]x^2 - 2x - 6 = y ....... (2)[/tex]
Equating (1) and (2):
[tex]-4x -7 =x^{2}-2x-6\\\Rightarrow x^{2}-2x-6+4x+7=0\\\Rightarrow x^{2}+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x = -1[/tex]
The two values of x are repeating in nature i.e. x = -1
So, value of [tex]x[/tex] is -1.
Putting value of [tex]x[/tex] in equation (1):
[tex]-4 \times (-1)-7=y \\\Rightarrow y=-3[/tex]
The solution is represented as ([tex]x,y[/tex])
So, the solutions are :
(-1, -3)
Answer:
2
Step-by-step explanation:
give brainliest
What must be added each term to a ratio2:3 so that it may became 4:7
Answers
Step-by-step explanation:
HOPE THE ANSWER IS CORRECT AND USEFUL
The double number lines show the ratio of minutes to days. How many minutes are in 2 days
Answers
Answer:
2880 minutes are in two days
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 1)B(5, 1),C(5, 6), and D(2, 6). Given these coordinates, what is the length of side AB of this rectangle?
Answers
Answer:
The legnth of side AB would be 3 units
Step-by-step explanation:
First, you would determine that both point A and point B would have the same y-coordinate of 1. Then you would determine the difference between the x values of points A and B. Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.
Step-by-step explanation:
I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).
The picture ends up looking like the attachment I have below.
This is now a simple subtraction.
A is at 2 on the x-axis and B is at 5.
5-2=3
Answer:
3 units
PLEASE HELP ME PLEASE AND THANK U
Answers
Answer:
3/4
Step-by-step explanation:
There is 2 Os and 8 in total.
So the probability of selecting O is 1/4
As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4
When Jonathan bought 12 peaches and pears, at $1.50 per peach and
at $1.60 per pear, the total price was $18.50.
How many peaches and pears did he buy, respectively?
Fill in the blanks provided and solve for the answer.
Answers
Explanation: you will need to make two equations to represent the problem
X being for peaches and y for pears
x+y= 12
1.5x + 1.6y= 18.5
We are going to use the elimination method and so we need to cancel either x or y in this case x. So we multiple the top equation by -1.5
-1.5x - 1.5y = -18
1.5x + 1.6y = 18.5
Then we can cancel the x since they are opposite and we can add the rest
0.1y =0.5
Y= 5
Then we can substitute the y into one of the equations
x + 5= 12
x= 7
if a man walks for 6 miles at a steady speed of 3 mph how long will it take him
Answers
Answer:
It will take 2 hours
Step-by-step explanation:
6/3 = 2
Answer:
2 hours
Step-by-step explanation:
3 miles + 3 miles = 6 miles
1 hour + 1 hour = 2 hours
Find the slope of the line that passes through the points (-1, -2) and (-9, -2)
Answers
Answer:
0
Step-by-step explanation:
Ok use the equation: (Y2 - Y1) / (X2 - X1)
((-2) - (-2)) / ((-9)-(-1))
0/ -8
we know that 0 divided by any number is 0
so slope = 0
−12 − (−25) + 8
plzz helpp im not sure is it 21??
Answers
Answer:
21
Step-by-step explanation:
−12 − (−25) + 8
Subtracting a negative is like adding
-12 +25+8
First do -12 +25 25-12 = 13 Replace in the equation
13+8
21
Answer:
Yes, the answer is
[tex]21[/tex]
Step-by-step explanation:
we know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
Now let's solve the problem,
[tex] - 12 - ( - 25) + 8 \\ - 12 + 25 + 8 \\ = 21[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Stetson rents
studio space for
$600 a month for
music lessons. He
charges his
students $40 per
hour and earned a
profit of $2400
this month.
is it (600+40)x=2400
or
40x-600=2400
Answers
Answer:
It will be the first option.
Step-by-step explanation:
Why? because you are trying to get the total amount so you need to cancel everything and have the final answer.
and it will be like this:
(600+40)x=2400
x=2400÷ 640
x=3.75
and if you round it; x=4
is the function in the graph non-linear?
4
3
-32
2
5
O Yes, because it has a constant rate of change.
O Yes, because it does not have a constant rate of change.
No, because it has a constant rate of change.
No, because it does not have a constant rate of change.
Answers
Answer:
B. Yes, because it does not have a constant rate of change.
Step-by-step explanation:
For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.
9(2a – b)2 – 4(2a – b) – 13
Answers
=36a-18b-8a+4b-13
Rearrange
=36a-8a-18b+4b-13
=28a-14b-13
The formula for the area of a triangle is , where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
3 units
5 units
8 units
9 units
Answers
Answer:
5 units
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
30 = 1/2 (12)h
Multiply
30 = 6h
Divide each side by 6
30/6 = 6h/6
5 = h
Answer:
5 units
Step-by-step explanation:
Next time please supply the formula, which was apparently given in this question:
A = (1/2)(base)(height)
Here, A = 30 units^2 = (1/2)(12 units)(height), or
30 units^2 = (6 units)(height)
Solving for (height), we get
30 units^2
(height) = ------------------ = 5 units
6 units
The height is 5 units
What is the measure of c?
1489
42°
С
90°
422
489
O 42°
O 48°
O 90°
0 180°
Please help me with this question
Answers
A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 yards, which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guests to stand to experience his whisper chamber will be 10 yards from the center of the warehouse space, which will act as the foci. How far out from the center, along the minor axis should he build out his whisper chamber?
53.9 yd
45.8 yd
26.9 yd
22.9 yd
Answers
Answer:
22.9 yards
Step-by-step explanation:
Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.
So, b = ±√(a² - c²)
= ±√(25² - 10²)
= ±√(625 - 100)
= ±√525
= ±22.91 yards
≅ ± 22.9 yards
Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.
Convert y = 8x^2-80x-32 to vertex form by completing the square.
Answers
Answer:
y = 8(x-5)^2 -232
Step-by-step explanation:
Factor out the 8 to get
y = 8(x^2-10x-4)
y = 8(x-5)^2 -232
Answer:
y = 8 (x - 5)^2 - 232
Step-by-step explanation:
Dividing the whole equation by 8, we get:
y = 8 (x^2 - 10x - 4)
y = 8 (x - 5)^2 - 232
Hope this helps!
What are the solutions of the system 7x + 3y = -3 and y = -2x? (-1, 0) and (0, -1) (-8, 3) and (3, -8) (-1, 0) and (-8, 3) (0, -1) and (3, -8)
Answers
The solution of the system of equation can be solved by using substitution method. Therefore, the solutions of the system 7x + 3y = -3 and y = -2x is (-3, 6)
How to find solution to the system of equation
7x + 3y = - 3
y = - 2x
Substitute the value of y in equation(i)
Therefore,
7x + 3(- 2x) = -3
7x - 6x = -3
x = -3
Let's find y by substituting the value of x in equation(ii)
y = -2x
y = -2(-3)
y = 6
Therefore, the solution set of the equation is (-3, 6)
learn more on system of equation; https://brainly.com/question/1632711