a box of candy contains 0.6 of pounds of caramels and 3.6 pounds of coconut what precent of the contents of the box

ST = ST (Common)

RT = TQ (Given)

∠ RTS = ∠ SQT (Both 90°)

So, ∆ RTS ≅ ∆ QTS (By SAS congruency rule)

So, RS = QS (By C.P.C.T.)

=> 2x + 8 = 8x - 4

=> 8 + 4 = 8x - 2x

=> 12 = 6x

=> 12/6 = x

=> 2 = x

SR = 2x + 8 (Given)

=> SR = 2(2) + 8 (Putting the value of x)

=> SR = 4 + 8

=> SR = 12

Answer:

Step-by-step explanation:

Answer:

[tex]5 {x}^{2} - 11x + 6 \\ 5 {x}^{2} - (5 + 6)x + 6 \\ 5 {x}^{2} - 5x + 6x + 6 \\ 5x(x - 1) - 6(x - 1) \\ (5x - 6)(x - 1)[/tex]

Answer:

1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the distance from M to N is 80 miles and we want to find the coordinates of the point 60 miles into the trip, we are looking for the point 3/4 of the way from M to N, since 60 is 3/4 of 80. This is the process:

First we need to consider that MN is a directed vector. We first find the components of the directed vector, which is found in the change in x and the change in y. First step, then, looks like this:

<Δx, Δy> = <9-3, 13-2> = <6, 11> We will call those the x and y components of the vector (which comes from vector study in both physics and math, so if you don't understand that, it's ok! Just follow the process here and you'll be fine). Knowing that 60 is 3/4 of the way from M to N, we find 3/4 of both the x and y components, like this:

[tex]<\frac{3}{4}(6), \frac{3}{4}(11)>[/tex] which will give us 3/4 of the change in x and 3/4 of the change in y:

[tex]<\frac{18}{4},\frac{33}{4}>=<4.5,8.25>[/tex]

Since we are going 3/4 of the way from M to N, we add that component to the x and y coordinates of M, giving us 3/4 of the way from M to N, which translates to 60 miles of the 80 mile trip:

(3 + 4.5, 2 + 8.25) = (7.5, 10.25)

Those are the coordinates of the point that represents 60 miles into the 80 mile trip.

Answer:

SN

Step-by-step explanation:

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

More about the triangle link is given below.

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Answer:

x = 25.540 degrees

Step-by-step explanation:

When computing the value of x, there are various ways to solve with given information.

The easiest way is to set up the equation: cos(20 degrees) = 24/x

Cosine is adjacent over the hypotenuse.

Answer:

See Explanation

Step-by-step explanation:

Given

Let

[tex]S \to[/tex] Strawberry

[tex]B \to[/tex] Banana

[tex]S : B = 2 : 3[/tex]

Solving (a):

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

[tex]\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}[/tex]

The table is generated as follows:

[tex]S : B = 2 : 3[/tex]

Multiply by 1.5

[tex]S : B = 2 * 1.5 : 3 * 1.5[/tex]

[tex]S : B = 3 : 4.5[/tex]

Multiply by 2

[tex]S : B = 2*2 : 3*2[/tex]

[tex]S : B = 4 : 6[/tex]

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant

Solving (b): Why the amount are proportion

Because the ratio is constant and it remains unchanged all through.

Answer: x = 16°

Step-by-step explanation:

This means (x+26)° + 3x° = 90°.

Solve for x:

x + 26 + 3x = 90

x + 3x = 90 - 26

4x = 64

x = 64 ÷ 4 = 16°

Answer:

x = 16

Step-by-step explanation:

First you have to know the max degrees in this figure

Since the shape is a right triangle, then the max degrees is 180°

Now that box in the triangle indicates that the angle measures 90°

180° - 90° = 90°

so for both missing angles, we're going to create a equation that satisfy to 90°

[tex](x+26)+(3x)=90[/tex]

First subtract the 26 from both sides (on 90 and on the equation)

[tex]x+3x=64[/tex]   (We're left with this)

64 = 3x + x

64 = 3(16) + 16

64 = 48 + 16

64 = 64

x = 16

Hello,

Probability get a Bleu marble =5/12

Probability get a Red marble =4/12

Probability get a Green marble =3/12

p(B,R)=5/12*4/12=20/144

p(R,B)=4/12*5/12=20/144

p(B,G)=5/12*3/12=15/144

p(G,B)=3/12*5/12=15/144

p(R,G)=4/12*3/12=12/144

p(G,R)=3/12*4/12=12/144

p(2 marble different colours)= 2*(20+15+12)/144=94/144=47/72

Answer:

hey hope the given pic are helpful(sorry for my bad writing)

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

The time it will take Ted and Jacob to clear the field together is; t = 1.2 hours.

Ted can clear the football field in 3 hours. Thus, portion of field he can clear = ⅓t

Where t is number of hours

Thus, portion that Jacob can clear = ½t.

⅓t + ½t = 1

Multiply through by 6 to get;

2t + 3t = 6

5t = 6

t = 6/5

t = 1.2 hours

Read more about rates and proportions at; https://brainly.com/question/12242745

Answer:

Find the area of the triangle from the coordinate plane.

Y

A

10-

5-1

с

B.

0

-20

-15

-10

-5Step-by-step explanation:

Answer:

zero(0)

Step-by-step explanation:

The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.

In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say x, adding zero to the number x gives the same number x. i.e

x + 0 = x

If x is say 2, then we have;

2 + 0 = 2

Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.

Answer:

x = 3     y = 5

Step-by-step explanation:

     y=x+2

+    y=-x +8

2y = 10

y = 5

y = -x + 8

5 = -x + 8

x = 3

Answer:

I believe the answer is 24.

Step-by-step explanation:

hope it helps.

Answer:

Moving 4 to the right on the x axis

the arc length is calculated by the formula                                                                    [tex]\displaystyle\bf C=\frac{2\pi r}{360} \cdot\alpha[/tex]   then   [tex]\displaystyle\bf C=\frac{2\cdot 8 \pi }{360} \cdot180=8\pi=3,14\cdot8=25.12[/tex]   or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2  С=2πr:2=πr =8π=25,12

Answer:

Step-by-step explanation:

The function is decreasing on (∞,∞)

The function never increases

Answer:

Step-by-step explanation:

a)   profits = 30,000 + (30,000 * .05 * years)

P(y) = 30,000 + 1500y

b)  P(15) =  30,000 + 1500*(15)

P(15) = 52,500

Answer:

4 number

Step-by-step explanation:

16p+32q=1,280

Answer:

triangle s

that is my answer

Answer:

2:4:3

Step-by-step explanation:

To Find :-

Solution :-

By question ,

→ p :q= 1:2

→ q : r = 4 :3

Therefore ,

→ p/q × q/r = 1/2 × 4/3

→ p/r = 2/3

Again ,

→ p = 1/2q

→ r = 3/4 q

Henceforth ,

→ p : q : r

→ 1/2 q : q : 3/4q

→ 4/2q : 4q : 12/4 q

→ 2 : 4 : 3

Answer:

i) The value of x is 3.

ii) TE = 20cm

RN = 20cm

Step-by-step explanation:

According to the properties of rectangles,

The diagonals of rectangles are equal and bisect each other at 90°.

As per this,

OR = OT

[tex]2x + 4 = 3x + 1[/tex]

[tex]4 - 1 = 3x - 2x[/tex]

[tex]3 = x[/tex]

TE = 2OT

TE = 2(3x + 1)

= 6x + 2

= 6(3) + 2

= 18 + 2

= 20

RN = 2OR

RN = 2(2x + 4)

= 4x + 8

= 4(3) + 8

= 12 + 8

= 20

Answer:

Step-by-step explanation:

-5x²+8=133

-5x²=133-8

-5x²=125

x²=-25 ........... dividing 125 by -5

x=√-25..........Taking square root of -25

x=±5

Hope this might help you...

The first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.

Two or more expressions with an Equal sign is called as Equation.

The given equation is -5x²+8=133

Minus five times of x square plus eight equal to one hundred thirty three.

x is the variable in the equation.

We have to solve for x

-5x²+8=133

The first step is to isolate the variable x to do this we have to subtract 8 from both sides

-5x² = 125

Divide both sides by 5

x² = -125/5

x² =-25

Hence,  first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.

To learn more on Equation:

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Answer:

24.

Step-by-step explanation:

Para determinar cuántos números distintos pueden formarse con los dígitos 4, 5, 6 y 7 sin repetir ninguno de ellos se debe realizar el siguiente cálculo:

4, 5, 6 y 7 = 4 números

4 x 3 x 2 x 1 = X

12 x 2 = X

24 = X

Por lo tanto, con los dígitos 4, 5, 6 y 7 pueden formarse 24 números.

Answer:

118/125

Step-by-step explanation:

We can find first the probability that there isn’t suitable weather:

60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125

now we have just to do this operation

125/125 - 27/125 = 118/125

Answer:

B

Step-by-step explanation:

The exterior angles of the triangle sum to 360° , then

? + 107° + 143° = 360°

? + 250° = 360° ( subtract 250° from both sides )

? = 110° → B

Step-by-step explanation:

100*77+72/4

100*77+18

7700+18

7718

Answer:

Step-by-step explanation:

54 ×100=5400

5400+77=5477

5477÷2 = 2738.5