Choose the fraction below that would make the following proportion true.
2/3 = ?/?

A. 2/5
B. 6/9
C. 4/5
D. 8/9

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Let the lengths of a triangle be 6x , 7x and 10x.

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \boxed{ \text{Sum \: of \: all \: sides \: of \: triangle = Perimeter \: of \: a \: triangle}}}[/tex]

⟹ [tex] \sf{6x + 7x + 10 = 92}[/tex]

Solve for x

⟹ [tex] \sf{23x = 92}[/tex]

⟹ [tex] \sf{ \frac{23x}{23} = \frac{92}{23}} [/tex]

⟹ [tex] \sf{x = 4}[/tex] cm

Now , Replacing the value of x :

⟼ [tex] \sf{6x = 6 \times4 = 24}[/tex] cm

⟼ [tex] \sf{7x = 7 \times 4 = 28}[/tex] cm

⟼ [tex] \sf{10x = 10 \times 4 = 40}[/tex] cm

Hence , the sides of the triangle are 24 cm , 28 cm and 40 cm.

Hope I helped ! ♡

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Answer:

Jake payed 2 dollars for each ticket

Answer:

Answer D

Step-by-step explanation: I started from T, go from T to T'. Look at T, count 7 units to the right and that will be 7 positive. Then count 3 units down, which is -3. The translation would be (7,-3) or "D".

Answer:

[tex]Area = 2900[/tex]

Step-by-step explanation:

Given

[tex]A (x_1,y_1) = (40,20)[/tex]

[tex]B (x_2,y_2) = (80,20)[/tex]

[tex]C (x_3,y_3) = (100,70)[/tex]

[tex]D (x_4,y_4) = (40,70)[/tex]

Required

Determine the Area

The area of the section is:

[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]

Substitute values for the x's and y's

[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]

[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]

[tex]Area = \frac{1}{2}|5800|[/tex]

[tex]Area = \frac{1}{2} * 5800[/tex]

[tex]Area = 2900[/tex]

Hence, the area of the section is 2900ft^2

Answer:

Step-by-step explanation:

if you need to find g,

add 5 on both sides

g=-2+5

g=3

Answer:

6

Step-by-step explanation:

Answer:

c I guess tell me if I am wrong yall

Answer:

They are both congruent triangles because they both have the same height, base length, and the same angle.

Step-by-step explanation:

Step-by-step explanation:

We have AB = 7, Angle ABC = 70°

and Angle ACB = 90°.

Angle BAC = 180° - 70° - 90° = 20°

(Sum of angles in a triangle = 180°)

Using Trignometry,

AC = 7sin70° = 6.58.

BC = 7cos70° = 2.39.

Answer:

The point is not a solution for both inequalities, so the point is not a solution for the system of inequalities.

Step-by-step explanation:

Answer:

On time: 0.67

Late: 0.33

Step-by-step explanation:

Probabilities

One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).

The probability can be estimated with the formula:

[tex]\displaystyle P=\frac{e}{n}[/tex]

And the probability that the event doesn't occur is

Q = 1 - P

Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:

[tex]\displaystyle P=\frac{53}{79}[/tex]

P = 0.67

And the probability he arrives late is:

Q = 1 - 0.67 = 0.33

Answer:

KL = 10

Step-by-step explanation:

Point K is on line segment \overline{JL} JL . Given

JK=2x−2

JL=2x+8

KL=x-9

JL = JK + KL

Hence:

2x + 8 = 2x - 2 + x - 9

2x + 8 = 2x + x - 2 -9

2x + 8 = 3x - 11

Collect like terms

3x - 2x = 8 + 11

x = 19

We are to find the numerical length of KL

KL = x - 9

KL = 19 - 9

KL = 10

Answer:

(5y+11)²

Step-by-step explanation:

The given expression is :

25y²+110y+121

We need to factors of the given expression.

We know that, (11)² = 121

5² = 25

We can write the given expression as :

25y²+110y+121 = (5y)² + 2(5y)(11) +11²

Using identity : (a+b)² = a²+2ab+b²

25y²+110y+121 = (5y+11)²

Hence, the factors of 25y²+110y+121 is (5y+11)².

The solution is 4 : 5

The ratio of the fraction is 4 : 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be A

Now , the value of A is = 16 cm

Let the second number be = B

The value of B is = 20 cm

The ratio of A and B is calculated as C

where C = A / B

A goes to the numerator of the fraction and B to the denominator

Substituting the values in the equation , we get

C = A/B

C = 16/20

On simplifying the equation , we get

C = 4/5

Therefore , the value of C is 4 : 5

Hence , the value of equation is 4 : 5

To learn more about equation click :

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Answer:

9

Step-by-step explanation:

Answer:

13 Weeks

Step-by-step explanation:

Yoko currently has $60 so if she gains $5 each week simply 5x13=65

$60+$65=$125

Answer:

Graph of the new function will be vertically stretched by 2 units.

Step-by-step explanation:

A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]

This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4

If this function is stretched vertically by 'k' the the equation of the new function will be,

y = [tex]a(\frac{1}{3})x+ 4[/tex]

y = [tex]\frac{a}{3}x+4[/tex] ---------(1)

If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],

New equation of the function will be,

y = [tex]\frac{2}{3}x+4[/tex] ---------(2)

Comparing equations (1) and (2),

a = 2

Therefore, graph of the new function will be stretched vertically by 2 units.

Answer:

y =-2/3x

x = 1

Step-by-step explanation:

adding both equations and then we find the value of y which is given below

y = -2/3x

and then putting the value of y in any above equation then we find the value of X which is given below

X = 1

Answer:

the slope is 5

explanation:

goes up 5 and right 1

Answer:

y = 2/3x -1

Step-by-step explanation:

y intersect is -1 as that's where the line passes the y axis

the slope can be found by finding two points and using the slope formula (y-y)/(x-x)

Answer:

In 3 min = 4 1/2

10 min = 15

If you multiply both of the snakes speed by the specific amount of minutes and then subtract both of the sums you'll get the answer :)

Answer:

3(2+5)−5(3)+8=14

Step-by-step explanation:

Write the problem as a mathematical expression.

=>3(2+5)−5⋅3+8

Simplify each term.

=>21−15+8 = 14

Answer:  B) neither

================================================

Let's isolate y in the first equation. This way we can find the slope.

x-2y = 4

-2y = 4-x

-2y = -x+4

y = (-x+4)/(-2)

y = -x/(-2) + 4/(-2)

y = (1/2)x - 2

This matches with y = mx+b form with m = 1/2 being the slope.

The slope of y = 2x-2 is m = 2

------------------------------

The slope of the first line is 1/2 and the slope of the second line is 2.

Since the two slopes (1/2 and 2) are not equal, this means the lines are not parallel.

Also, the two slopes do not multiply to -1, so the lines aren't perpendicular either.

This leads to B) neither as the final answer.

Answer:

TRUE and FALSE  (please look at step-by-step)

Step-by-step explanation:

How to know if it's true or false, you just simply plug in the given numbers to the x and y values.

x = -3

y = 11

for the x - 3y = -36 equation:

-3 -3(11) = -36

-3 - 33 = -36

This equation is true.

for the 3x + 4y = 48 equation:

3(-3) + 4(11) = 48

-9 + 44 = 35

This equation is false.

Answer:

Step-by-step explanation:

704.1 -   98.35=605.75