7th grade mathematics

Step-by-step explanation:

very simple thought experiment :

he is going 90 km/h (90 kilometers per hour), so, he moving 90 km in 1 hour.

how far is he going in just 2 seconds ?

so, we get two ratios.

90km/1 hour = 90,000 meter / 1 hour

x meter / 2 seconds

we need to bring both ratios (they are fractions) to the same dimension of the denominators, so that we can then bring them to the same denominator.

the first is dealing with an hour.

the second one with (2) seconds.

so, how many seconds are in 1 hour ?

60 seconds per minute, 60 minutes in the hour.

60×60 = 3600 seconds.

so, now we know, the first ratio is also

90,000 meter / 3600 seconds

now we need the factor to to multiply numerator and denominator with to bring 3600 down to 2.

3600 × f = 2

f = 2/3600 = 1/1800

now we get

90,000 / 3600 × (1/1800) / (1/1800) =

(90000 / 1800) / (3600 / 1800) = 50 / 2

so, 90km/h is the same speed as 50 meter / 2 seconds.

and therefore we know, the building was 50 meters long.

Answer:

Step-by-step explanation:

x^2 + y^2 = 9, or x^2 + y^2 = 3^2, is the equation of a circle with center at (0, 0) and radius 2.  It does not represent a line such as y = mx + b.

If you were given both x^2 + y^2 = 9 and y = mx + b, you could find zero, or one, or two points of intersection between circle and line.

x^2 + y^2 = 9 could be solved for either x or y as follows:

x^2 = 9 - y^2, so that x = ±√(9 - y^2).  This is valid for 0 ≤ y < infinity, but again we have not "solve in  y = mx + b" format.

9514 1404 393

Answer:

  $94,473.31

Step-by-step explanation:

The multiplier in 25 years is ...

  e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117

To have an account value of $200,000 in 25 years, you need to deposit now ...

  $200,000/2.117 = $94,473.31

_____

When this amount is multiplied by 2.117, the result is 200,000.

Answer:

9/n-2=7

We move all terms to the left:

9/n-2-(7)=0

Domain of the equation: n!=0

n∈R

We add all the numbers together, and all the variables

9/n-9=0

We multiply all the terms by the denominator

-9*n+9=0

We add all the numbers together, and all the variables

-9n+9=0

We move all terms containing n to the left, all other terms to the right

-9n=-9

n=-9/-9

n=1

Answer:

n = 1

Step-by-step explanation:

2 x 1 = 2

2 + 7 = 9

Answer:

Multiple the amount by the discount.

Rs 150 × 15%

Rs.22.5

Answer:

hmmmmm

Step-by-step explanation:

Answer:

x y

-5 1

-5 -2

-5 -5

Step-by-step explanation:

same x value, but different y value

25% = 25/100

25% of 28 is 7

~fractions

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

understand the steps below!

7 ÷ 25%

= 7 ÷ 25/100

= 7 × 100/25

= 7 × 4

= 28 ✔️

~ nice to help you ^^

[tex] \frac{{12}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{(3 \times 4) ^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{ {3}^{ \frac{1}{2} } \times {4}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = {3}^{ (\frac{1}{2} - \frac{3}{2}) } \times 2 ^{2 \times \frac{1}{2} } \\ = {3}^{ - \frac{2}{2} } \times 2 \\ = 3 ^{ - 1} \times 2 \\ = \frac{2}{3} [/tex]

[tex] \frac{2}{3} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

65

Step-by-step explanation:

if 5 years ago Ben is 26 years old then Jason was 65.

If you multiply 26 by 2.5 then you'll get 65.

Answer:

50

Explaination:

Call the number of penguins that live in the zoo = a

15 = 30% x a

a = 15 ÷ 30%

a = 15 : 0.3

a = 50

Answer: 5.6 meters

Step-by-step explanation: I usually start of by translating the words into numbers. 12% more is 1.12. So her best is 1.12*her first. Which means her best 0.85*the winning. substitute and you get 5.6

Answer:

30

Step-by-step explanation:

Answer:

[tex]x=\frac{9}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\sf x=\frac{9}{4} }\:\sf or \:\boxed{x=2.25}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{1}{2}\:x+\cfrac{3}{4}=\:x\cfrac{5}{6}[/tex]

Subtract x (5/6) from both sides:

[tex]\longmapsto\sf \cfrac{1}{2}\: x+\cfrac{3}{4} -x\left(\cfrac{5}{6}\right)=0[/tex]

Subtract 3/4 from both sides:

** Anything subtracted from zero gives its negation.**

[tex]\longmapsto\sf -\cfrac{1}{3}\:x=-\cfrac{3}{4}[/tex]

Multiply both sides by -3, reciprocal of - 1/3

[tex]\longmapsto\sf x=-\cfrac{3}{4} (-3)[/tex]

Express - 3/4 (-3) as single fraction:

[tex]\longmapsto\sf x=\cfrac{-3(-3)}{4}[/tex]

Multiply -3 and -3 = 9

[tex]\longmapsto\sf x= \cfrac{9}{4}[/tex]

______________________________________

Answer:

t = 1/2

Step-by-step explanation:

= 4 ( t + 1/4 ) / 4 = 3/4

= t + 1/4 = 3/4

= t + 1/4 - 1/4 = 3/4 - 1/4

           simplify

Answer : t = 1/2

Answer:

6.8

Step-by-step explanation:

A rhombus and a rectangle have the following similarities: The opposite angles are equal. The diagonals are equal in length and bisect each other. Their opposite sides are equal and parallel.

Answer:

They are both parallelograms.

Step-by-step explanation:

Answer:

d & e

Step-by-step explanation:

I'm assuming  by "same side interior angle" they mean consecutive interior angles. I'll attach a document explaining what that is.

Answer:

5/6

Step-by-step explanation:

2/

3

: 4/

5

= 2/

3

· 5/

4

= 2 · 5/

3 · 4

= 10/

12

= 2 · 5/

2 · 6

= 5/

6

Answer:

B

Step-by-step explanation:

Apply Trignometric ratio

[tex] \cos(x) = \frac{adj \: side}{hypotenuse} \\ \cos(x) = \frac{8}{21} \\ x = \cos { }^{ - 1} ( \frac{8}{21} ) \\ x = 67.6[/tex]

Answer: 2^5

Step-by-step explanation:

2^5= 2x2x2x2x2=32

5^2=5×5=25

Answer:

its 2

Step-by-step explanation:

When two variables are directly proportional to each others .

Answer:

.11965

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

7.65= 999(6.4)(r)

7.65/6393.6= 0.0011965

Convert the rate into a percentage by multiplying by 100

0.0011965*100= 0.11965%

tte corresponding angle is angle 5

Answer:124

explanation: 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124

Answer:

6

Step-by-step explanation:

Answer:

The area is 6 because i add it and the divide it