Answer:
The cost of bicycle is Rs1000
Step-by-step explanation:
Let x be the cost of bicycle
Total profit gained by the shopkeeper by selling at labelled price = 20%
Suppose he sell the bicycles at at 5% discount
Which means that the total profit he learn after discount will be:
20% -5% = 15%
The shopkeeper earns a profit of 15% if he sells at discount.
Profit gained by shopkeeper is:
15% of x = 15/100 · x
15% of x = 0.15x
Thus the profit gained will be 0.15x. As profit gained is equal to 150, we can say that
0.15x = 150
x = 1000
The cost of bicycle is Rs1000
What are two possible measures of the angle below? On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis in quadrant 1 and another sits on the y-axis in quadrant 1. –270° and 45° –270° and 90° –120° and 75° –120° and 90°
Answer: B)° -270° and 90°
Step-by-step explanation:
Ray 1 is located on the x-axis in Quadrant 1 → 0°
Ray 2 is located on the y-axis in Quadrant 1 → 90° = -270°
The difference between the two angles is:
90° - 0° = 90°-270° - 0° = -270°A figure which is formed by two rays or lines that shares a common endpoint.
As per the question,
the difference between the two angles is:
90° - 0° = 90°-270° - 0° = -270°Learn more about this concept here:
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Fined the slope of this table
Answer: 8/7 And simplified simplified 1 1/7
Step-by-step explanation:
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Slopes and Tangents.
Basically the above data is the representation of the linear equation.
Thus the slope of linear equation is given as,
m = (y2-y1) / (x2-x1)
so taking any randoms numbers from the given table, we get as,
m = (14-7)/(16-8)
m= (7)/(8)
slope = m = 0.875
How many solutions a system of linear equations have if: Questions. 1.the equations have different slopes? 2.the equations have the same slope and different y-intercepts. 3.the equations have the same slope and same y-intercepts. Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution
Answer:
see below
Step-by-step explanation:
1.the equations have different slopes? They will intersect at one point so one solution
2.the equations have the same slope and different y-intercepts. They are parallel lines with a different y intercept so they will never intersect - no solutions
3.the equations have the same slope and same y-intercepts. they are the same line so they have infinite solutions
Answer:
1. One solution
2. no solution
3. infinite number of solutions.
Step-by-step explanation:
How many solutions a system of linear equations have if: Questions.
(assuming a system of two equations)
1.the equations have different slopes?
One unique solution, which is at the intersection point.
2.the equations have the same slope and different y-intercepts.
The equations/lines are then parallel but NOT coincident. They will never meet, therefore NO solution.
3.the equations have the same slope and same y-intercepts.
The two lines/equations are in effect coincident. Therefore there is an infinite number of solutions.
Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution
This diagram was constructed according to a certain logic. Can you work out which number should replace the question mark?
Answer:
4
Step-by-step explanation:
I'm guessing that each number represents the number of rectangles that overlap. Where you see 1, there is only one rectangle, 2 shows where two rectangles overlap, and so on.
At the question mark, it appears as though four rectangles overlap. So a 4 would go there.
What is f[g(4)] for the following functions? f(x) = 2x2− 5 g(x) = 3x − 7
Answer:
45
Step-by-step explanation:
g(4) = 3 * 4 - 7 = 5
f[g(4)] = f(5) = 2 * 5² - 5 = 45
Answer:
45
Step-by-step explanation:
Travis was attempting to make muffins to take to a neighbor. The recipe that he was working with required ¾ cup of sugar and ⅛ cup of butter. Travis accidentally put a whole cup of butter in the mix. What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?
Answer:
6 cups
Step-by-step explanation:
3/4x8=
6
Which of the points are solutions to the inequality?
Check all that apply.
O (-2,-5)
0 (0.-4)
(1.1)
(3.5)
D (5.5
Answer:
A, C and D
Step-by-step explanation:
The missing inequality is:
y > 2x -4
To verify if a point is a solution, replace x into the equation, compute y, and see their relationship.
Option A: (-2,-5)
2(-2) -4 = -8
y = -5 > -8
then, the point is solution
Option B: (0,-4)
2(0) -4 = -4
y = -4 = -4
then, the point is not solution
Option C: (1,1)
2(1) -4 = -2
y = 1 > -2
then, the point is solution
Option D: (3,5)
2(3) -4 = 2
y = 5 > 2
then, the point is solution
Option E: (5,5)
2(5) -4 = 6
y = 5 < 6
then, the point is not solution
The graph of F(x) , shown below, resembles the graph of G(x) = x ^ 2 , but it has been changed somewhatWhich of the following could be the equation of F(x) ?
Answer:
B.
Step-by-step explanation:
Since we are moving the graph f(x) to the right 2 and down 1 with a reflection over the x-axis, we modify a, h, and k in f(x) = a(bx - h)² + k:
We would get f(x) = -(x - 2)² - 1 as our answer.
Determine both the x and y intercepts. Please help! Will mark brainliest!
Answer:
y-intercept: (0, 2.5)
x-intercept: (1.67, 0)
Step-by-step explanation:
Right now, you have 3x + 2y = 5. You want to change it into slope-intercept form to make the problem easier to solve.
2y = -3x + 5
y = -3/2x + 5/2
From here, you can see that the y-intercept is (0, 5/2). You can also say that the y-intercept is (0, 2.5).
To get the x-intercept, substitute 0 for y.
0 = -3/2x + 5/2
3/2x = 5/2
3x = 5
x = 5/3
So, the x-intercept is (5/3, 0). You can also say that the x-intercept is (1.67, 0).
Hope this helps!
Answer:
Step-by-step explanation:
To find the x-intercept, let y = 0. Then 3x = 5 and x = 5/3, or x = 1.667, and the x-intercept is (1.667, 0).
To find the y-intercept, let x = 0. Then 2y = 5 and y = 5/2 or 2.5. Then the y-intercept is (0, 2.5).
–5(v + 65) = -65 v = ____
Answer:
v = -52
Step-by-step explanation:
Divide both sides by -5
v + 65 = 13
v = 13 - 65
v = -52
Answer:
v= -52
Step-by-step explanation:
-5(v+65)=-65
-5v-325=-65
-5v=260
v=-52
Solve the inequality 12x < 22 + x.
Answer:
12x<22+x
11x<22
x<2
Answer:
x < 2
Step-by-step explanation:
12x < 22 + x
Subtract x on both sides.
12x - x < 22 + x - x
11x < 22
Divide 11 into both sides.
11x/11 < 22/11
x < 2
A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that a. a male is selected, then two females. b. a female is selected, then two males. c. two females are selected, then one male. d. three males are selected. e. three females are selected.
Answer:
(a) The probability that a male is selected, then two females is 0.4352.
(b) The probability that a female is selected, then two males is 0.3348.
(c) The probability that two females are selected, then one male is 0.4352.
(d) The probability that three males are selected is 0.0717.
(e) The probability that three females are selected is 0.1583.
Step-by-step explanation:
We are given that a math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment.
(a) The probability that a male is selected, then two females is given by;
Number of ways of selecting a male from a total of 11 male = [tex]^{11}C_1[/tex]
Number of ways of selecting two female from a total of 14 female = [tex]^{14}C_2[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{11}C_1 \times ^{14}C_2}{^{25}C_3}[/tex]
= [tex]\frac{\frac{11!}{1! \times 10!} \times \frac{14!}{2! \times 12!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{1001}{2300}[/tex] = 0.4352
(b) The probability that a female is selected, then two males is given by;
Number of ways of selecting a female from a total of 14 female = [tex]^{14}C_1[/tex]
Number of ways of selecting two males from a total of 11 male = [tex]^{11}C_2[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_1 \times ^{11}C_2}{^{25}C_3}[/tex]
= [tex]\frac{\frac{14!}{1! \times 13!} \times \frac{11!}{2! \times 9!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{770}{2300}[/tex] = 0.3348
(c) The probability that two females is selected, then one male is given by;
Number of ways of selecting two females from a total of 14 female = [tex]^{14}C_2[/tex]
Number of ways of selecting one male from a total of 11 male = [tex]^{11}C_1[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_2 \times ^{11}C_1}{^{25}C_3}[/tex]
= [tex]\frac{\frac{14!}{2! \times 12!} \times \frac{11!}{1! \times 10!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{1001}{2300}[/tex] = 0.4352
(d) The probability that three males are selected is given by;
Number of ways of selecting three males from a total of 11 male = [tex]^{11}C_3[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{11}C_3}{^{25}C_3}[/tex]
= [tex]\frac{ \frac{11!}{3! \times 8!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{165}{2300}[/tex] = 0.0717
(e) The probability that three females are selected is given by;
Number of ways of selecting three females from a total of 14 female = [tex]^{14}C_3[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_3}{^{25}C_3}[/tex]
= [tex]\frac{ \frac{14!}{3! \times 11!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{364}{2300}[/tex] = 0.1583
(a) The probability that a male is selected, then two females is 0.4352.
(b) The probability that a female is selected, then two males is 0.3348.
(c) The probability that two females are selected, then one male is 0.4352.
(d) The probability that three males are selected is 0.0717.
(e) The probability that three females are selected is 0.1583.
simplify the expression (-a+2b) - (3a+b)
Answer:
-4a + b
Step-by-step explanation:
Take away the parentheses (brackets) and solve.
-a + 2b - 3a - b
-a - 3a + 2b - b
-4a + b
Answer:
It's -[tex]4a + b[/tex]
Step-by-step explanation:
Simplify the expression.
are the two figures congruent
no, they are neither the same size or shape
yes, they are same size and shape
no, they are different directions
yes, they both quadrilateral
match the numerical expressions to their simplified forms
Answer:
[tex]1.\ \ p^2q = (\frac{p^5}{p^{-3}q^{-4}})^{\frac{1}{4}}[/tex]
[tex]2.\ \ pq^{\frac{3}{2}}} = (\frac{p^2q^7}{q^{4}})^{\frac{1}{2}}[/tex]
[tex]3.\ \ pq^2 = \frac{(pq^3)^{\frac{1}{2}}}{(pq)^{\frac{-1}{2}}}[/tex]
[tex]4.\ \ p^2q^{\frac{1}{2}} = (p^6q^{\frac{3}{2}})^{\frac{1}{3}}[/tex]
Step-by-step explanation:
Required
Match each expression to their simplified form
1.
[tex](\frac{p^5}{p^{-3}q^{-4}})^{\frac{1}{4}}[/tex]
Simplify the expression in bracket by using the following law of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
The expression becomes
[tex](\frac{p^{5-(-3)}}{q^{-4}})^{\frac{1}{4}}[/tex]
[tex](\frac{p^{5+3}}{q^{-4}})^{\frac{1}{4}}[/tex]
[tex](\frac{p^8}{q^{-4}})^{\frac{1}{4}}[/tex]
Split the fraction in the bracket
[tex](p^8*\frac{1}{q^{-4}})^{\frac{1}{4}}[/tex]
Simplify the fraction by using the following law of indices;
[tex]\frac{1}{a^{-m}} = a^m[/tex]
The expression becomes
[tex](p^8*q^4)^{\frac{1}{4}}[/tex]
Further simplify the expression in bracket by using the following law of indices;
[tex](ab)^m = a^m * b^m[/tex]
The expression becomes
[tex](p^{8*\frac{1}{4}}\ *\ q^4*^{\frac{1}{4}})[/tex]
[tex](p^{\frac{8}{4}}\ *\ q^{\frac{4}{4}})[/tex]
[tex]p^2q[/tex]
Hence,
[tex](\frac{p^5}{p^{-3}q^{-4}})^{\frac{1}{4}} = p^2q[/tex]
2.
[tex](\frac{p^2q^7}{q^{4}})^{\frac{1}{2}}[/tex]
Simplify the expression in bracket by using the following law of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
The expression becomes
[tex]({p^2q^{7-4}}})^{\frac{1}{2}}[/tex]
[tex]({p^2q^3}})^{\frac{1}{2}}[/tex]
Further simplify the expression in bracket by using the following law of indices;
[tex](ab)^m = a^m * b^m[/tex]
The expression becomes
[tex]{p^{2*\frac{1}{2}}q^{3*\frac{1}{2}}}}[/tex]
[tex]pq^{\frac{3}{2}}}[/tex]
Hence,
[tex]pq^{\frac{3}{2}}} = (\frac{p^2q^7}{q^{4}})^{\frac{1}{2}}[/tex]
3.
[tex]\frac{(pq^3)^{\frac{1}{2}}}{(pq)^{\frac{-1}{2}}}[/tex]
Simplify the numerator as thus:
[tex]\frac{p^{\frac{1}{2}} * q^3*^{\frac{1}{2}}}{(pq)^{\frac{-1}{2}}}[/tex]
[tex]\frac{p^{\frac{1}{2}} * q^{\frac{3}{2}}}{(pq)^{\frac{-1}{2}}}[/tex]
Simplify the denominator as thus:
[tex]\frac{p^{\frac{1}{2}} * q^{\frac{3}{2}}}{p^{\frac{-1}{2}}q^{\frac{-1}{2}}}[/tex]
Simplify the expression in bracket by using the following law of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
The expression becomes
[tex]p^{\frac{1}{2} - (\frac{-1}{2} )} * q^{\frac{3}{2} - (\frac{-1}{2}) }[/tex]
[tex]p^{\frac{1}{2} +\frac{1}{2} } * q^{\frac{3}{2} + \frac{1}{2} }[/tex]
[tex]p^{\frac{1+1}{2}} * q^{\frac{3+1}{2}}[/tex]
[tex]p^{\frac{2}{2}} * q^{\frac{4}{2}}[/tex]
[tex]pq^2[/tex]
Hence,
[tex]pq^2 = \frac{(pq^3)^{\frac{1}{2}}}{(pq)^{\frac{-1}{2}}}[/tex]
4.
[tex](p^6q^{\frac{3}{2}})^{\frac{1}{3}}[/tex]
Simplify the expression in bracket by using the following law of indices;
[tex](ab)^m = a^m * b^m[/tex]
The expression becomes
[tex]p^6*^{\frac{1}{3}}\ *\ q^{\frac{3}{2}}*^{\frac{1}{3}}[/tex]
[tex]p^{\frac{6}{3}}\ *\ q^{\frac{3*1}{2*3}}[/tex]
[tex]p^2 *\ q^{\frac{3}{6}}[/tex]
[tex]p^2 *\ q^{\frac{1}{2}[/tex]
[tex]p^2q^{\frac{1}{2}[/tex]
Hence
[tex]p^2q^{\frac{1}{2}} = (p^6q^{\frac{3}{2}})^{\frac{1}{3}}[/tex]
write down these numbers in ascending order 0.07, -7.88, -7.9, 7.03, -7.881 get BRAINLIEST (*-*) (0_0)
Answer:
-7.9, -7.881, -7.88, 0.07, 7.03.
Step-by-step explanation:
Ascending, is just another word for "least to greatest."
To arrange these numbers from least to greatest, we start with the negative numbers. The negative numbers are: -7.88, -7.9, -7.881.
The greatest of these numbers would be the number that is closest to 0, and that would be -7.88.
Arranging these numbers should give us: -7.9, -7.881, -7.88.
The positive numbers are naturally greater than the negatives, and we see that 7.03 is greater than 0.07. Thus, we have the list of numbers to be: -7.9, -7.881, -7.88, 0.07, 7.03.
Let me know if this helps :)
5)Sam is traveling. His
baggage weighs a total of 35
pounds. He has one bag that
weighs 5 pounds and two
identical bags. How much do
the two identical bags weigh?
hurry pls
Answer:
15
Step-by-step explanation:
you need to get to 35. if one bag is 5 pounds what else plus 5 is 35. so each bag is 15 pounds
Answer: 15
Step-by-step explanation:
35 - 5 = 30
30 ÷ 2 = 15
Hope this helped.
(15 each)
Suppose that x and y vary inversely, and x = 12 when y = 8. Write the function that
models the inverse variation.
Oy = 96
Oy = 20
y = 0.67x
y =4/x
The function that models the inverse variation is y=96/x. Thus, the correct option is A.
What is the directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p∝q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
Given that x and y vary inversely. Therefore, the relation can be written as,
y ∝ 1/x
y = k × 1/x
y = k/x
Also, when y =8, the value of x is 12, therefore, if we substitute the points in the above-formed equation,
y = k/x
8 = k /12
k = 96
Hence, the function that models the inverse variation is y=96/x. Thus, the correct option is A.
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Which circle has a radius that measures 10 units? Circle D is shown. A line segment goes from one point to another point on the circle and has a length of 10. Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20. Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10. Circle H is shown. A line segment goes from one point to another point on the circle and has a length of 20.
Answer:
Circle with 20 unit Diameter
Step-by-step explanation:
There's no picture attached, so I can't tell you which circle that is, but remember that the radius is equal to half of the diameter. The diameter is a segment on the interior of a circle that passes through the center. You could also find a ten-unit-long line with a segment from the center of the circle to any point on the circle, because that is the radius. If it doesn't pass through the center, it's a chord, not a diameter, so it doesn't count!
The circle with a radius of 10 is (d) A line segment goes from one point to another point on the circle and has a length of 20.
What is radius?The radius of a circle is a line drawn from the center to the circumference of the circle
For a circle to have a diameter of 20, the radius of the circle must be 10
The circle with a radius of 10 is (d) A line segment goes from one point to another point on the circle and has a length of 20.
Read more about circle radius at:
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Which of the following segments is tangent to the circle? answers: 1) ac 2) fg 3) de 4) hi
Answer:
3) ED
Step-by-step explanation:
3)ED
as u can see, AC has a 90 degree angle with ED
Answer:
3) DE
Step-by-step explanation:
A segment is tangent to a circle when it intercepts with the circle at only one point, which is the case for DE.
A boat travels 40 miles downstream (with the current) in the same time it takes the boat to travel 30 miles upstream (against the current). If the boat travels at 46 miles per hour, write an equation to solve for the speed of the current, x in miles per hour.
Answer:
40/46+x=30/46-x
Step-by-step explanation:
Speed=distance/time
s=d/t
x=speed of the boat
Downstream speed=x+46
Upstream speed=x-46
Downstream
s=d/t
x+46=40/t
t=40/(x+46)
Upstream
s=d/t
x-46=30/t
t=30/(x-46)
Equate upstream and downstream
30/x-46=40/x+46
30(x+46)=40(x-46)
30x+1380=40x-1840
30x+1380-40x+1840=0
-10x+3220=0
-10x=-3220
Divide both sides by -10
x=322
x=322 miles/hour
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to the scenario it represents.
The correct expression with the correct statement has matched below.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is equivalent to the quantity of that value between 1 and 100, and it is highly helpful for forecasting. For instance, if you say 678, we must also know the whole number, but if you say 80%, it is obvious.
The price of a game that’s been discounted by 18% of its list price
It will be (x - 0.18x) = 0.82x
The price of a toy that sells for 18% more than the amount needed to build the toy
It will be (x + 0.18x) = 1.18x
The volume of water remaining in a tank after 3/10 of its original volume is drained out.
It will be [ x - (3/10)x ] = 7/10x
The total amount of flour in a bakery after receiving new stock equal to 3/10 of the current stock.
It will be [ x + (3/10)x ] = 13/10x
For more about the percentage,
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9/5= 27/ y - 7 Thats the question. Im dyin for help. :)
Answer:
1 10/17
I answered it in the pervious question
why is a domain of a parabola unlimited?
Answer:
A domain of a parabola is all real numbers because you can input any x-value into the equation.
Step-by-step explanation:
Since there are no restrictions of numbers you can put in x², we can plug anything in. Therefore, our domain is infinite numbers.
Point G is rotated 90°. The coordinate of the pre-image point G was (7.5), and its image Gʻis at the coordinate (5, 7).
What is the direction of the rotation?
Step-by-step explanation:
What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).
What you need to find was : What is the direction of the rotation.
So coming to conclusions is we have given that Point G is rotated 90°.
The Pre-image of G = ( 7, -5).
Translated image G' = ( 5 ,7).
By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.
(y, -x) 90 degree rotation clockwise about the origin.
We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.
Therefore, Direction of rotation is counterclockwise around the origin.
Answer:
The answer is COUNTERCLOCKWISE
Step-by-step explanation:
edg
(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 3.5 and the y axis at 7. Line B crosses the x axis at 6.5 and the y axis at 4.5. Line C is horizontal and crosses the y axis at 1. Line D crosses the x axis at 0.5 and the y axis at 1. Which set of equations has (−1, 5) as its solution? A and B B and D A and C B and C
Answer:
a and b
Step-by-step explanation:
What type of function is represented in the table? 5 10 15 20 25 30 6.6 13. 19.5. 26 32.5 39 A. exponential B. logarithmic C. linear D. quadratic 40 points
Answer:
logarithmic I think
Step-by-step explanation:
Use process of elimination
Answer:
C). linear
Step-by-step explanation:
test
Find the missing side length in the image attached.
Answer:
? = 56.
Step-by-step explanation:
In the problem, the side 20 corresponds to side 32 and side 20 + 35 corresponds to side 32 + ?.
[tex]\frac{20}{32} =\frac{20 + 35}{? + 32}[/tex]
[tex]\frac{5}{8} =\frac{55}{? + 32}[/tex]
[tex]\frac{1}{8}=\frac{11}{? + 32}[/tex]
? + 32 = 8 * 11
? + 32 = 88
? = 56.
Hope this helps!
Answer:
56
Step-by-step explanation:
We can find the missing side length through ratios.
20/35 = 32/x
Cross multiply.
20x = 35(32)
20x = 1120
x = 1120/20
x = 56
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?
a. 3 red squares to 6 green squares
b. 6 red squares to 3 green squares
c. 5 red squares to 12 green squares
d. 12 red squares to 5 green squares
Please include the work!
Answer: A. 3 red squares to 6 green squares
Step-by-step explanation:
Method 1) Find a common factor between 15 and 30. For this problem, I'll pick 5. Divide both numbers by this common factor.
15/5=3 red squares
30/5=6 green squares
3 red squares to 6 green squares
Method 2) Find the greatest common factor between 15 and 30. The GCF is 15. Divide both numbers by the GCF.
15/15=1
30/15=2
This leaves you with a ratio of 1 red square to 2 green squares. 1:2 is equivalent to 3:6
3 red squares to 6 green squares
Please help! ASAP Thank you :) if you do.
Answer:
49. to the left two spaces (place values)
50. 4.35 m
51. to the right three spaces (place values)
52. 12,000 mL
53. to the right six spaces (place values)
54. 3,000,000
Step-by-step explanation:
49. 1 centimeter is equal to [tex]\frac{1}{100}[/tex] of a meter. In other words, there are 100 cm in 1 meter. To convert from cm to m, you would move the decimal to the left because meters are larger than centimeters meaning a large number of centimeters would convert to a smaller number of meters. The decimal will move two places because there are 100 cm in 1 meter. (look at the number of zeros to determine how many spaces to move)
50. Follow the rule from the 49:
435.00 → 4.35
51. 1 liter is equal to 1000 milliliters. This means the number will increase, moving the decimal to the right. The decimal will move three places because each place value equals 10x and 10 · 10 · 10 = 1000. (look at the number of zeros to determine how many spaces to move)
52. Follow the rule from 51:
12.00 → 12,000
53. 1 megameter is equal to 1,000,000 meters. This means the number will increase, moving the decimal to the right. The decimal will move six spaces because each place value equals 10x. 10 · 10 · 10 · 10 · 10 · 10 = 1,000,000 (look at the zeros to determine how many spaces to move)
54. Follow the rule from 53:
3.00 → 3,000,000