Two equations that would have a solution of (3,6)

Weight limit of an elevator = 1800 pounds

Average weight of each person who comes in the elevator = 160 pounds

Quantity of items with them = 3 pounds

Let the number of people who can ride the elevator at one time be x.

Which means :

[tex] =\tt 160x + 3 = 1800[/tex]

[tex] = \tt160x = 1800 - 3[/tex]

[tex] = \tt160x = 1797[/tex]

[tex] =\tt x = \frac{1797}{160} [/tex]

[tex] =\tt x = 11[/tex]

Thus, number of people who can enter the elevator is 11.

▪︎Therefore, the correct option is (b) 11.

0.26

you would divide 23 on both sides

hope this helps you

..........

Answer:

your awnser should be 42°

Answer:

4.69 in

Step-by-step explanation:

By sine rule:

[tex] \frac{ \sin \: 23 \degree}{a} = \frac{ \sin \: 90 \degree}{12} \\ \\ \frac{ \sin \: 23 \degree}{a} = \frac{1}{12} \\ \\ a = 12 \: \sin 23 \degree \\ \\ a = 12 \times 0.3907311285 \\ \\ a = 4.68877354 \\ \\ a \approx 4.69\: in[/tex]

Answer:

the ans is in the picture with the steps hope it helps

(can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

28 divided by 4 is 7

Answer:

0.6m²

Step-by-step explanation:

Length: 1.2 m

Width: 50cm=0.5m

Area=length×widtg

Answer:

y = - [tex]\frac{5}{2}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (2, 0)

m = [tex]\frac{0+5}{2-4}[/tex] = [tex]\frac{5}{-2}[/tex] = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 0 )

0 = - 5 + c ⇒ c = 0 + 5 = 5

y = - [tex]\frac{5}{2}[/tex] x + 5 ← equation of line

Answer:

1/81

Step-by-step explanation:

P(H,H,H,H)=16/81

fourth root of 16/81= 2/3

so the probability of getting tails would be 1/3

probability of getting 4 tails would be:

P(T,T,T,T)=(1/3)^4

=1/81

The probability of getting 4 tails when the coin is thrown 4 times is 1/81

We have:

P(Head 4 times) = 16/81

This means that:

P(Head)^4 =  16/81

Take the 4th root of both sides

P(head) = 2/3

The probability of a tail is calculated as:

P(tail) = 1 - P(Head)

This gives

P(tail) = 1 - 2/3

P(tail) = 1/3

When thrown 4 times, we have:

P(tail)^4 = (1/3)^4

P(tail) = 1/81

Hence, the probability of getting 4 tails when the coin is thrown 4 times is 1/81

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Answer:250

Step-by-step explanation:

150/3 =50

50x5=250

The quantity of strawberries in jar is 250 gram.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Given the Jam is made from sugar and strawberries in a ratio of 3:5,

ratio of sugar to strawberries = 3/5

sugar in jam = 150 gram

let quantity of strawberries  be x gram

the ratio of sugar to strawberries = 150/x

since both ratios are in proportions so

3/5 = 150/x

x = 150 * 5/3

x = 250 gram

Hence the quantity of strawberries is 250 grams.

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Answer:

csc

x

−

sin

x

=

1

sin

x

−

sin

x

=

1

−

sin

2

x

sin

x

=

cos

2

x

sin

x

=

cos

x

⋅

cos

x

sin

x

=

cos

x

cot

x

Step-by-step explanation:

Answer:

B) 2 1/4

Step-by-step explanation:

Answer:

B.2 1/4

C.9/4

Step-by-step explanation:

2 1/4 is what shown

9/4=2 1/4

Answer:

 4.50

Step-by-step explanation:

4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

The decimal form of  4 and 1/2  is 4.5

Decimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.

Therefore, 4 and 1/2 in decimal form is represented as follows;

Mixed fraction = 4  1 / 2

Improper fraction = 9 / 2

decimal form of  1 / 2 = 0.5

Therefore, 4 1 / 2 = 4.5

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Answer:

764 numbers

Step-by-step explanation:

Number of multiples of 2: is 2x50–2x499 which is 450 numbers.

Number of multiples of 3: 3x34–3x333 is 300 numbers

Multiples of 5: 5x20–5x199 is 180 numbers

Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.

Multiples of 3x5 or 15: 15x7–15x66 or 60

numbers.

Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.

Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.

450+300+180–46–60–90+30=

764 numbers.

Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

4x+2y=10             (ii)

Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

6y= 15

⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

Answer:

Step-by-step explanation:

3 is to 8 as x is to 32

3/8=x/32

x=12

The number of dimes cannot be 10 because the number of dimes in the jar will be equal to 12.

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities to compare them.

As per the data in the question,

The ratio of Dimes to pennies: 3 : 8

Number of Pennies in jar = 32

Assume that the number of Dimes in the jar is x.

So, the number of dimes will be,

x = (32 × 3)/8

x = 12 Dimes.

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Answer:

y = x + (6+x)

Step-by-step explanation:

Y represents the total number of marbles.

X represents number of blue marbles.

6+X represents number of yellow marbles.

To Solve:

  24 = 2x + 6

  Subtract 6 from both sides: 18 = 2x

  Divide boths sides by 2: 9 = x

Now fill in the values: Blue Marbles = 9, Yellow marbles = 15

Answer:

6x + 10

Step-by-step explanation:

2+4=6

and 10 doesn't have an x next to it so it doesn't count

The area of a circle is r^2 x PI

r is half the diameter = 21mm

Area = 21^2 x PI

area = 441pi

Answer:

A≈1.39×10-3m²

Step-by-step explanation:

Answer:

Step-by-step explanation:

a). tan(75°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                  = [tex]\frac{11}{k}[/tex]

    k = [tex]\frac{11}{\text{tan}(75)}[/tex]

    k = 2.947

    k = 2.95 cm

b). cos(52°) = [tex]\frac{16}{s}[/tex]

    s = [tex]\frac{16}{\text{cos}(52)}[/tex]

    s = 25.988

    s ≈ 25.99 cm

c). sin(5°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

               = [tex]\frac{16.1}{q}[/tex]

    q = [tex]\frac{16.1}{\text{sin}(5)}[/tex]

    q = 184.727

    q ≈ 184.73 cm

Answer:

area is Pi x radius squared

Step-by-step explanation:

radius is half the diameter which is the line from one side of the circles to the opposite side

Answer:

Step-by-step explanation:

b

Answer:

6%

Step-by-step explanation:

43.50 / 725 x 100 = 6%

Answer:

Step-by-step explanation:

You are given adjacent and you want opposite. You can use the relationship of tangent. SOHCAHTOA

tan(51) = x/15

x = 18.5