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3 years ago

If you write the ratio32 students to 8 boxes of crayons is that the same as writing 8 boxes of to 32 students? Explain

Mathematics

2 answers:

Rama09 [41]3 years ago

4 0

Yes it is the same ration you can divide it.

andre [41]3 years ago

3 0

Yes because they are the same ratio.

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Two common names for streets are FirstFirst Street and MainMain â€‹Street, with 14 comma 86614,866 streets bearing one of these

oksian1 [2.3K]

Answer: There are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .

Step-by-step explanation:

Let x be the number of streets named as First Street .

y be the number of streets named as Main Street.

AS per the given information, we have the following system of equations :

$x+y=14866-------------(1)\\\\x=488+y-------------(2)$

Substitute the value of x from (2) in (1) , we get

$488+y+y=14866\\\\ 2y =14866- 488\\\\ 2y=14378\\\\ y=7189$

Put value of y in (2), we get

$x=488+7189=7677$

Hence , there are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .

6 0

3 years ago

A man invests his savings in two accounts ,one paying6% and the other paying 10% simple interest per year. He puts twice as much

AnnyKZ [126]

Answer: he invested $46062.5 at 6% and $23031.25 at 10%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 6% interest.

Let y represent the amount which he invested in the account paying 10% interest.

He puts twice as much in the lower-yielding account because it is less risky.. This means that

x = 2y

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 6% interest,

P = $x

T = 1 year

R = 6℅

I = (x × 6 × 1)/100 = 0.06x

Considering the account paying 10% interest,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

His annual interest is $7370dollars. it means that

0.06x + 0.2y = 7370 - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.06 × 2y + 0.2y = 7370

0.12y + 0.2y = 7370

0.32y = 7370

y = 7370/0.32

y = $23031.25

x = 2 × 23031.25

x = 46062.5

6 0

3 years ago

Which expression can be used to check the answer to 56 ÷ (-14) = n?

kozerog [31]

A. Multiplication is the ONLY function that reverses what division did. If you did 56/-14 = n, then n x -14 should equal 56.

6 0

3 years ago

Read 2 more answers

a woman 1.65. tall stood 50m away from the foot of a tower,and observe that the angle of elevation of the top of the tower to be

ElenaW [278]

$\sf\huge\underline{\star Solution:-}$

$\rightarrow$ Let the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

$\rightarrow$ Now, clearly it is forming a triangle.

So, in triangle ABC,

$\rightarrow$ $\sf{Tan50° \:= \: \frac{BC}{AC}}$

$\rightarrow$ $\sf{1.19 \:= \: \frac{BC}{50}}$

$\rightarrow$ $\sf{1.19 ×50\:= \: BC}$

$\rightarrow$ $\sf{59.5m\:= \: BC}$

$\rightarrow$ Hence, BC = 59.5m

So, BD(total height of the tower) $\sf{ = \:BC+CD}$

$\sf{= \:59.5+1.65}$

$\sf{=\: 61.15m}$

Therefore, total height of the tower = $\sf\purple{ 61.15m.}$

________________________________

Hope it helps you:)

5 0

2 years ago

Read 2 more answers

Maria tenia 6.500kg de patatas. Las envaso en sacos de 25kg y los puso a la venta a 30$ cada uno. Vendio la mitad de los sacos a

mojhsa [17]

Responder:

$ 7540

Explicación paso a paso:

Dado que:

Kilogramos totales de papa = 6500

Número de kilogramos por paquete = 25

Precio por paquete = $ 30

La mitad se vendió a $ 30

El resto se vende a ($ 30 - $ 2)

Número total de paquetes de 25 kg:

6500 kg / 25 kg = 260 paquetes

Por lo tanto, paquete total = 260 paquetes

La mitad se vende a $ 30:

(260/2) * 30

130 * $ 30 = $ 3900

Resto vendido a $ 28:

(260 - 130) * $ 28

130 * $ 28 = $ 3640

Cantidad total realizada:

$ (3640 + 3900) = $ 7540

8 0

3 years ago