A crane has a cable with a breaking strain of 6400 kg
measured to 2 significant figures.
It is used to lift crates which weigh 90 kg measured to the nearest 10 kg.
What is the greatest number of crates that can safely be lifted
at one time without breaking the cable?
Some working must be shown.​

Answer:

7y/9

Step-by-step explanation:

The first step is to find the common denominator. 3*3=9, so you can multiply the first number by 3/3 to make it 3y/9. Now you can add. 3y/9+4y/9=7y/9. Hope this helps!

Answer:

7y/9

Step-by-step explanation:

We need to get a common denominator

y/3 + 4y/9

Multiply the first term by 3/3 to get a common denominator of 9

3/3 *y/3 + 4y/9

3y/9 +4y/9

7y/9

Answer:

x = 4

Step-by-step explanation:

If the triangles are similar then the ratios of corresponding sides must be equal, that is

[tex]\frac{EF}{YZ}[/tex] = [tex]\frac{DE}{XY}[/tex] , substitute values

[tex]\frac{2x-1}{14}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

10(2x - 1) = 70 ← distribute left side

20x - 10 = 70 ( add 10 to both sides )

20x = 80 ( divide both sides by 20 )

x = 4

Answer:

Answer is x=4

Step-by-step explanation:

[tex]given \: that \: def \: is \: similar \: to \: xyz \\ by \: similarity \: theorem \\ \frac{de}{xy} = \frac{ef}{yz} = \frac{df}{xz} \\ \\ \frac{5}{10} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ \frac{1}{2} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ therefore \\ \frac{1}{2} = \frac{2x - 1}{14 } \\ 2x - 1 = 7 \\ 2x = 8 \\ x = 4[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

523.3 cubic centimeters

Step-by-step explanation:

I'm assuming you mean sphere, not square.

Volume of a sphere:

V = 4/3 * πr^3

Plug in our value for radius:

V = 4/3 * π5^3

Simplify:

V = 4/3 * 3.14 * 125 = 523.3 cubic centimeters

Answer:

x² - 10x + 25

Step-by-step explanation:

Given

(x - 5)²

= (x - 5)(x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 5) - 5(x - 5) ← distribute both parenthesis

= x² - 5x - 5x + 25 ← collect like terms

= x² - 10x + 25

To find Ben's age, we establish an equation based on the given information that Ben is three times as old as Daniel and four years older. Solving this equation reveals that Daniel is 2 years old, therefore, Ben is 6 years old.

The question states that Ben is 3 times as old as Daniel and also 4 years older than Daniel. To solve for Ben's age, let's assign the variable D to represent Daniel's age. Therefore, Ben's age can be expressed as 3D. It's also stated that Ben is 4 years older than Daniel, which gives us another equation, Ben's age equals Daniel's age plus 4 (D + 4).

Setting these two expressions for Ben's age equal to each other gives us: 3D = D + 4. By solving this equation, we subtract D from both sides to get 2D = 4. Dividing both sides by 2 gives us D = 2, which is Daniel’s age.

To find Ben's age, we multiply Daniel’s age by 3, as Ben is three times older than Daniel. So, Ben's age is 3 * 2 = 6 years old.

y=0.25x

Step-by-step explanation:

the initial statement is

y

∝

x

to convert to an equation multiply by k the constant of

variation

⇒

y

=

k

x

to find k use the given condition

y

=

0.5

when

x

=

2

y

=

k

x

⇒

k

=

y

x

=

0.5

2

=

0.25

Answer:

y=2.5

Step-by-step explanation:

Proportion

(2/.5)=(10/y)

Answer:

square root of 80 or about 8.9 feet

Step-by-step explanation:

Use the Pythagorean Theorem:

8 squared times 4 squared=80

=square root of 80

Answer: 3. d= -4    , 4. m= -3  , 5. w= 82 , 6. x=42 , 7. x=24 , 8. x= -60

Step-by-step explanation:

3. Step 1: Add 6 to both sides.

d−6+6=−10+6

d=−4

4. Step 1: Add 14 to both sides.

m−14+14=−17+14

m=−3

5. Step 1: Add 23 to both sides.

w-23+23=59 + 23

w= 82

Continue to repeat the step for the other ones. If there is a positive then subtract on both sides!

Answer:

its a i had this on my test

Answer:

The answer is D

Step-by-step explanation:

When you look at the right side they already flipped the shape for you so all you have to do is count the units to find the coordinates.

Hoped it helped

Answer:

i think its B

Step-by-step explanation:

try to make the q more simple

Answer:

24 pi/3 or approximately 25.12 cubic feet

Step-by-step explanation:

A cone's volume is a third of a cylinder's volume.

Answer:

The correct answer is 2 and -11

Step-by-step explanation:

Answer:

[tex]\frac{5005\times 3^6}{4^{15}}[/tex]

Step-by-step explanation:

by using binomial property, we get the probability

[tex]P=C^{15}_{9}\times \frac{1}{4^9}\times \frac{3^6}{4^6}[/tex]

Answer:

Invitation to the performance Felix Net and Nika and a Gang of Invisible People.

Step-by-step explanation:

Hope this will help u...

Answer:

145/12 or 12.08333333

​

Step-by-step explanation:

Answer:

100 times

Step-by-step explanation:

125x100=12500

because its an estimate this is the closest value

Answer:

100 times

Step-by-step explanation:

12580/125 is about 100

Answer:

2 2/5

Step-by-step explanation:

4/5 x 3/1

12/5

=2 2/5

Answer:

Step 1: [tex]\frac{4}{5} /\frac{1}{3}[/tex]

Step 2: Change the fraction 1/3 into a whole number (Reciprocal of 1/3 is 3) [tex]\frac{4}{5} x 3[/tex]

Step 3: Multiply 4 (the numerator of the fraction) by 3.

Step 4: The product is 12/5.

Step 5: Simplify the answer to 2 2/5

Have a nice day and stay safe!

Answer:

Step-by-step explanation:

Answer:

-(-26)

Step-by-step explanation:

The coordinate for point A is 26.

−26 represents the opposite of 26.

−(−26) represents the opposite of the opposite.

The equation that have no solution is:  6x + 1 = 3(2x - 4).

The correct option is the first option.

Here, we have to check which of the equations have no solution, we need to solve each equation and see if they lead to a contradiction or an inconsistency.

If the variable (x) cancels out during the solving process, it means that the equation has no solution.

1) 6x + 1 = 3(2x - 4)

Expand the right side: 6x + 1 = 6x - 12

Subtract 6x from both sides: 1 = -12

In this case, we end up with a contradiction (1 = -12), which means there is no solution.

2) 2 - 5x = 7x - 12

Add 5x to both sides: 2 = 12x - 12

Add 12 to both sides: 14 = 12x

Divide by 12: x = 14/12 = 7/6

This equation has a solution.

3) 4(3 - x) = 2(6 - 2x)

Expand both sides: 12 - 4x = 12 - 4x

Subtract 12 from both sides: -4x = -4x

In this case, the variable (x) cancels out, which means any value of x would satisfy the equation.

So, this equation has infinitely many solutions.

4) 5(x + 2) = 2(x - 4)

Expand both sides: 5x + 10 = 2x - 8

Subtract 2x from both sides: 3x + 10 = -8

Subtract 10 from both sides: 3x = -18

Divide by 3: x = -18/3 = -6

This equation has a solution.

5) -4(x + 3) = 4(x - 1)

Expand both sides: -4x - 12 = 4x - 4

Add 4x to both sides: -4x - 4x - 12 = 4

Combine like terms: -12 - 4 = 8x

Combine like terms on the left side: -16 = 8x

Divide both sides by 8 to isolate x: x = -2

This equation has a solution.

So, the equation that have no solution is:  6x + 1 = 3(2x - 4).

Hence, The correct option is the first option.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ3

Final answer:

To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. The equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x).

Explanation:

To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. Let's go through each equation:

So, the equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x). The correct answers are A and E.

Answer:

[tex]-2[/tex]

Step-by-step explanation:

Step 1:  Use PEMDAS

Parenthesis, Exponent, Multiplication, Division, Addition, Subtract

Addition first so, start adding from the left

[tex]6 + 5 + 2 - 15[/tex]

[tex](6 + 5) + 2 - 15[/tex]

[tex]11 + 2 - 15[/tex]

[tex](11 + 2) - 15[/tex]

[tex]13 - 15[/tex]

Now, subtract the last two numbers

[tex]13 - 15[/tex]

[tex](13 - 15)[/tex]

[tex]-2[/tex]

Answer:  [tex]-2[/tex]

Answer:

Your answer would be -2

Step-by-step explanation:

Use the rules of PEMDAS.

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

For your question you have only subtraction and addition

Addition comes first so:

6+5= 11

then 11+2=13

then subtract 15

and you get -2

Hope this helps and mark me Brainliest please.

:):):):):)

Answer:

900 tiles

Step-by-step explanation:

Ok, so first you have to subtract $500 by $275 which equals $225. then multiply $225 by .25 and you get 900.

Answer:

The area of the blank M is 326.56m²

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes

Given data

Diameter of flower bed d=22m

Radius of flower bed r= 11m

Width of side walk x =4m

To solve for the area of the blank we need to subtract the area of the side walk from the area of the flower bed

But we don't know the diameter of the side walk

Let the diameter of the side walk be D= diameter of flower bed +2(width of the side walk )

D= 22+2(4)

D=22+8

D=30m

Radius of side walk is R=30/2 =15m

Area of blank =area of side walk minus area of flower bed

Area of circle =πr²

Area of blank M = πR²-πr²

M= π(R²-r²)

M= 3.14(15²-11²

M=3.14(225-121)

M=3.14(104)

M= 326.56m²

The area of the blank M 326.56m²

M to the power of 2 =326.56²=106641.43

Answer:

c.4.5 and 5.5

Step-by-step explanation:

Answer:

5.75 and 6.25

Step-by-step explanation:

i had it on a test

Answer:

y=[tex]\frac{5}{3}[/tex]x-12

Step-by-step explanation:

slope= 5/3

y intercept= -12

Answer:

y=\frac{5}{3}x-12

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + h) represents a horizontal translation of f(x)

• If h > 0 then a shift to the left of h units

• If h < 0 then a shift to the right of h units

Here the shift is 5 units right, thus g(x) = (x - 5)²

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 3 units down, thus g(x) = f(x) - 3

Hence

g(x) = (x - 5)² - 3 → C

The possible solutions are -3 and 7, and the extraneous solution is x = -3,

From the steps shown, the last step is:

[tex]0 = (x + 3)(x - 7)[/tex]

Rewrite as:

[tex](x + 3)(x - 7)=0[/tex]

Split

[tex](x + 3)=0\ or\ (x - 7)=0[/tex]

Remove brackets

[tex]x + 3=0\ or\ x - 7=0[/tex]

Solve for x

[tex]x =-3\ or\ x =7[/tex]

So, the possible solutions are -3 and 7

Substitute -3 and 7 for x in the original equation to determine the extraneous solution.

[tex]\sqrt{30 - 2x}= x - 3[/tex]

[tex]\sqrt{30 - 2(-3)}= -3 - 3[/tex]

[tex]\sqrt{36}= -6[/tex]

Take square root of 36

[tex]6= -6[/tex]

[tex]\sqrt{30 - 2x}= x - 3[/tex]

[tex]\sqrt{30 - 2(7)}= 7- 3[/tex]

[tex]\sqrt{16}= 4[/tex]

Take square root of 16

[tex]4= 4[/tex]

Hence, the extraneous solution is x = -3, because [tex]6 \ne -6[/tex]

Read more about extraneous solutions at:

https://brainly.com/question/2959656

The both the correct answer's displayed in the image below.

Answer:

im not sure but it might be 75

Step-by-step explanation: