Challenge!

A. 13
B. 24
C. 6
D. 34

Answer:D I think might be wrong

Step-by-step explanation:

Answer:

b is the right answer bc all the others r wrong

Answer:

5 cm

Step-by-step explanation:

The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.

Distance = D

Weight = W

Hence:

D ∝ W

D = kW

Where k is constant of proportionality

Step 1

We solve for k

If a spring stretches 2 cm when a 30 gram weight is hung from it.

2 = 30k

k = 2/30

k = 1/15

Step 2

how far will it stretch when a 75 gram weight is hung from the spring?

D = kW

We are solving for D

k = 1/15

D = 1/15 × 75

D = 5 cm

The spring would stretch 5cm with a weight of 75 gram.

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The solution of the given inequality is set of all x such that x < 14.

Two or more expressions connected with symbols of inequality like ≥, ≤, > and < is called the inequalities.

There are different kinds of inequalities like polynomial inequalities which includes linear inequalities and quadratic inequalities, rational inequality and so on.

Linear inequalities will have the highest degree of the variable equals 1.

Given a linear inequality,

25x - 100 < 250

Adding both sides of the inequality with 100,

25x - 100 + 100 < 250 + 100

25x < 350

Dividing both sides of the inequality by 25,

25x / 25 < 350 / 25

x < 14

Hence the value of x in the inequality is all the values of x which are less than, < 14.

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Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

Answer:

2

Step-by-step explanation:

Answer: B. 17.4+b=54.6

Step-by-step explanation:

Edgen 2023

The equation can be used to find the value of b is 54.6 = 34.8 + b.

We have,

The border of the triangle is54.6 cm

and side a = 8.7 cm,

So, Perimeter = sum of the lengths of the three sides

54.6 = a + 3a + b

54.6 = 4a + b

We know a= 8.7 then

54.6 = 4(8.7) + b

54.6 = 34.8 + b

Therefore, the needed equation is54.6 = 34.8b.

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Answer:

this is a vertical

Step-by-step explanation:

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

Answer: 4.628

Step-by-step explanation:

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

Answer:

3

Step-by-step explanation:

3x18>=3=3

Answer:

x < 24?

Step-by-step explanation:

Answer:

[tex]y = 1 \frac{3}{5} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

Jackie collected 61 coins and 20 stamps

Step-by-step explanation:

Solving (a): Variable representation

Let the coins be represented with c

Let the stamps be represented with s

Solving (b): Setup equation

Total is 81. This implies that:

[tex]s + c = 81[/tex]

Also:

[tex]c = 1 + 3s[/tex]

Solving (c): Solve the system

Substitute 1 + 3s for c in [tex]s + c = 81[/tex]

[tex]s + 1 + 3s = 81[/tex]

Collect Like Terms

[tex]s + 3s = 81-1[/tex]

[tex]4s= 80[/tex]

Divide both sides by 4

[tex]s = \frac{80}{4}[/tex]

[tex]s= 20[/tex]

Substitute 20 for s in [tex]c = 1 + 3s[/tex]

[tex]c = 1 + 3 * 20[/tex]

[tex]c = 1 + 60[/tex]

[tex]c = 61[/tex]

Solving (d): Solution statement

Jackie collected 61 coins and 20 stamps

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

Answer:

22

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

(7/8 - 4/5)^2 = 9/

1600

= 0.005625

Step-by-step explanation:

Subtract: 7/

8

- 4/

5

= 7 · 5/

8 · 5

- 4 · 8/

5 · 8

= 35/

40

- 32/

40

= 35 - 32/

40

= 3/

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven eighths minus four-fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = 3/

40

^ 2 = 32/

402

= 9/

1600

In words - three-fortieths squared = nine one-thousand six-hundredths.

Answer:

Step-by-step explanation:

(x-9)/5))(5) = 2(5)

answer is B

Answer:

-7/2i

Step-by-step explanation:

The imaginary part of the complex number is -7/2.

A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.

We know a complex form,

a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part

So,

[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]

Compared to the standard form,

-7/2 is the imaginary part.

Therefore, -7/2 is the imaginary part.

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False. You only flip when the number you are multiplying/dividing is negative.

Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

Step-by-step explanation: