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3 years ago

10

Julian’s brother is performing some calculations on his calculator. Julian sees that the result in the display is 4.13E7. How ca

n this number be expressed in standard notation?

1 answer:

ElenaW [278]3 years ago

8 0

I think it would be 413*10^5

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Work out the value of z, given that x+y=42 and x/13=y/8=z/9.

Andru [333]

Answer:

z = 18

x = 26 and y = 16

Step-by-step explanation:

Given:

$x + y = 42$

$\dfrac{x}{13}=\dfrac{y}{8}=\dfrac{z}{9}$

Rewrite $x + y = 42$ to make $y$ the subject:

$\implies y=42-x$

Substitute this into $\dfrac{x}{13}=\dfrac{y}{8}$ :

$\implies \dfrac{x}{13}=\dfrac{42-x}{8}$

Cross multiply:

$\implies 8x=13(42-x)$

$\implies 8x=546-13x$

$\implies 21x=546$

$\implies x=26$

Substitute found value of x into $x + y = 42$ and solve for y:

$\implies 26 + y = 42$

$\implies y=16$

Substitute found value of y into $\dfrac{y}{8}=\dfrac{z}{9}$ and solve for z:

$\implies \dfrac{16}{8}=\dfrac{z}{9}\\\\\implies 2=\dfrac{z}{9}\\\\\implies 18=z$

4 0

3 years ago

A box is filled with 400-g packets of noodles. The box weighs 6 kg in total. Three packets are removed from the box. How much do

olganol [36]

The box will weight 4.8 kilograms

8 0

4 years ago

Read 2 more answers

Which shows the correct substitution of the value a, b, and c from the equation 0=-3x^2-2x+6 into the quadratic formula?

AysviL [449]

Step-by-step explanation:

it should be letter A on edge2020

7 0

3 years ago

What is the solution to the above system of equations?

kow [346]

(x , y) = (7, - 1)

2x + 3y = 11 → (1)

3x + 3y = 18 → (2)

subtracting (1) from (2) term by term eliminates the y- term

(3x - 2x) + (3y - 3y) = (18 - 11)

x + 0 = 7 ⇒ x = 7

substitute x = 7 into either of the 2 equations and solve for y

(1) → (2 × 7) + 3y = 11

14 + 3y = 11

subtract 14 from both sides

3y = 11 - 14 = - 3

divide both sides by 3

$\frac{- 3}{3}$ = - 1

solution is (7 , -1)

8 0

3 years ago

Read 2 more answers

Clem Shirestock is at a dock on a bank of a straight river that is 1 mile wide and wants toreach the barge toll gate on the othe

oee [108]

The total time taken by Clem Shirestock to reach the gate is given by the equation 7 = 4√(x²+1)+ 8 - 2 x

Let the point P is at a distance of x miles from the toll gate.

Hence when Clem reaches the point P he rows in the form of right angled triangle. and we know that the width of the river is 1 mile.

So by using Pythagoras Theorem we can infer that the distance covered by Clem is the hypotenuse which is equal to √(x²+1).

Time taken to complete this route is 4√(x²+1) .

Now he has only to walk 4-x distance along the river.

His speed is 2 mph

Time taken = 2(4-x) = 8-2x

Hence we can conclude that the total time is 7 hours. so the equation to represent this is 7 = 4√(x²+1)+ 8 - 2 x .

to learn more about time visit:

brainly.com/question/28238258

#SPJ9

3 0

1 year ago