6th grade students were asked what their favorite subject was. 56 students said that math was their favorite subject. If there are 160 6th grade students, what is the percentage of students who chose math as their favorite subject?

Answer:

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Step-by-step explanation:

Given

Pairs of inequalities

Required

Select which is equivalent

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is equivalent to [tex]2x - 10 > 8[/tex]

(b): [tex]x-5> 4[/tex] and [tex]2x+10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

(c): [tex]x+5> 4[/tex] and [tex]2x+10 <8[/tex]

Multiply both sides of [tex]x+5> 4[/tex] by 2

[tex]2 * (x + 5) > 4 *2[/tex]

[tex]2 * x + 2*5 > 4 *2[/tex]

[tex]2x + 10 > 8[/tex]

Hence: [tex]x+5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

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:

7 - 2 / x = 4 + 10 / x

or , 7 - 4 = 10 / x + 2 / x

or , 3 = 12 / x

or , x = 12 / 3

Therefore , x = 4

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Quotient means the answer of a division problem.

The only answer choice that shows division is option D.

Answer:

y=[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]

Answer:

√13 - √11

Step-by-step explanation:

You have to simply the radical expression

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

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:

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:

the slope is 5

explanation:

goes up 5 and right 1

Answer: Each candy bar cost him 3$

Step-by-step explanation:

First you subtract 26-2 to get 24. This is since he purchased the drink for 2$. Now he uses the 24 dollars to buy 8 candy bars, to figure how much each is you have to divide. You divide 24 by 8 in order to get 3.

Answer:

$3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

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.

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:

Area of sector = 117.6 cm²

Step-by-step explanation:

Radius of sector r = 10 cm

Angle Ф = 135°

We need to find Area of sector

The formula used is: [tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]

Where Ф is the angle, and r is the radius.

Putting values and finding area of sector

[tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}\\Area\:of\:Sector=\frac{135}{360}\times 3.14 (10)^2\\Area\:of\:Sector=0.375 \times 3.14 \times 100\\Area\:of\:Sector=117.75[/tex]

Now, rounding off answer to 1 decimal place:

[tex]Area\:of\:Sector=117.6\: cm^2[/tex]

So, Area of sector = 117.6 cm²

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:

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:

c I guess tell me if I am wrong yall

Answer:

As Mixed Fraction

= $ (4 171717/1000000)

As a fraction

= $(4171717/1000000)

Step-by-step explanation:

A manufacturer determines that the cost of making a computer component is $4.171717. Write the repeating decimal cost as a fraction and as a mixed number

As a mixed fractions

= $4.171717 = $4 + 171717/1000000

= 4 171717/1000000

As. Fraction

= 4171717/1000000

Answer:

Step-by-step explanation:

if you need to find g,

add 5 on both sides

g=-2+5

g=3

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".

Step-by-step explanation:

(2x+13)°=3y°

(5y-4)-180=3y

5y-184=3y

5y-3y=184

2y=184

y=92

2x+13=3*92

2x=263

x=131.5

Picture relating to the question is attached

Answer:

Andy = 1/2

Bill = 1/8

Carl = 1/8

Evan = 1/8

Dirk = 1/8

Step-by-step explanation:

According to the picture depicting the sharing of the land :

Fraction of the total rectangular plot = 1

Andy got a portion of the whole divided into 2 = 1/2

Fraction left after Andy's portion:

1 - 1/2 = 1/2

1/2 of the fraction left was divided equally between Dirk and Evan

Hence ;

1/2 of 1/2 = 1/2 * 1/2 = 1/4

Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Fraction of land left :

1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4

1/4 was divided equally into 2 for Bill and Carl:

Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Answer: y = -1/3x - 1

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

1400/100 x 2.25 = $31.50