Divide 60kg in the ratio 5:7

Answer:

x = 9

Step-by-step explanation:

Simplifying

-4 = 5 + -1x

Solving

-4 = 5 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

-4 + x = 5 + -1x + x

Combine like terms: -1x + x = 0

-4 + x = 5 + 0

-4 + x = 5

Add '4' to each side of the equation.

-4 + 4 + x = 5 + 4

Combine like terms: -4 + 4 = 0

0 + x = 5 + 4

x = 5 + 4

Combine like terms: 5 + 4 = 9

x = 9

Simplifying

x = 9

Answer: The answer is x=9

Step-by-step explanation: Good afternoon, I got a different step-by-step explanation for you!!! :D Step 1: Simplify both sides of the equation: [tex]-4=5-x[/tex], [tex]-4=5+-x[/tex], and [tex]-4=-x+5[/tex]. Step 2. I flipped the equation: [tex]-x+5=-4[/tex].

Step 3. Subtract 5 from the both sides: [tex]-x+5-5=-4-5[/tex] to [tex]-x=-9[/tex].

Last but not least is step 4. Divide the both sides by –1: [tex]\frac{-x}{-1}=\frac{-9}{-1}[/tex]; ∴, your answer should be x=9, I hoped your answer is very helpful, please mark me as brainliest, and have a happy holidays!! :D

Answer:

6.5<6.05, this one is false

Step-by-step explanation:

look at the Statement and the numbers, it is false through my calculation

Answer:

v=1

Step-by-step explanation:

v+(-16)=-15

v-16=-15

v=-15+16

v=1

Answer:

em qual período houve diminuição do número de

Answer:

Mode: 42 Range: 9

Step-by-step explanation:

First, I used trial and error to find the value of x which I found out was 2. Next, I found out how many people were in each weight category. Then, I put the numbers in order from least to greatest which gave me 33,33,35,35,35,37,37,37,37,39,39,39,39,42,42,42,42,42. After that, I found the number that showed up the most in this set of data which is the mode. Finally, I subtracted the smallest number(33) from the greatest number(42) and got 9 which is the range.

Answer:

each boy would get 1 1/8 gallons of ice cream

Answer:

1.125 or 9/8

Step-by-step explanation:

4 1/2 divided by 4.

Step-by-step explanation:

Hey there!!

You can simply work with it.

(5x - 17)° + (3x - 11)° = 180° { Being a linear pair}.

or, 8x - 28°= 180°

8x = 180° + 28°

[tex]x = \frac{208}{8} [/tex]

Therefore, the value of x is 26°.

Now,

3x - 11°= 3×26°-11° = 67°

Again,

67°+90°+(2y+5)° = 180° { being linear pair}.

157°+2y+5° = 180°

or, 2y + 162° = 180°

or, 2y = 180° - 162°

[tex]y = \frac{18}{2} [/tex]

Therefore, the value of y is 9°.

The value of x is 26° and y is 9°.

Hope it helps....

Answer:

47%

Step-by-step explanation:

3/4 of 5/8

3/4 • 5/8

15/32 = 0.46875 or 47%

Answer:

answer is X=0

mark this as brainiest.

Given:

a. [tex]\sqrt{0.25},\sqrt{\dfrac{1}{9}},\dfrac{6}{25}[/tex]

b. [tex]\sqrt{\dfrac{121}{25}},2.25,\sqrt{5}[/tex]

To find:

The correct order for each set of cards from least to greatest.

Solution:

a. [tex]\sqrt{0.25},\sqrt{\dfrac{1}{9}},\dfrac{6}{25}[/tex]

Convert all numbers in decimal form.

[tex]\sqrt{0.25}=0.5[/tex]

[tex]\sqrt{\dfrac{1}{9}}=\dfrac{1}{3}=0.333...[/tex]

[tex]\dfrac{6}{25}=0.24[/tex]

It is clear that,

[tex]0.24<0.33...<0.5[/tex]

[tex]\dfrac{6}{25}<\sqrt{\dfrac{1}{9}}<\sqrt{0.25}[/tex]

Therefore, the required order is [tex]\dfrac{6}{25},\sqrt{\dfrac{1}{9}},\sqrt{0.25}[/tex].

b. [tex]\sqrt{\dfrac{121}{25}},2.25,\sqrt{5}[/tex]

Convert all numbers in decimal form.

[tex]\sqrt{\dfrac{121}{25}}=\dfrac{11}{5}=2.2[/tex]

[tex]2.25[/tex] already in decimal form.

[tex]\sqrt{5}\approx 2.236[/tex]

It is clear that,

[tex]2.2<2.236<2.25[/tex]

[tex]\sqrt{\dfrac{121}{25}}<\sqrt{5}<2.25[/tex]

Therefore, the required order is [tex]\sqrt{\dfrac{121}{25}},\sqrt{5},2.25[/tex].

Answer:

The pile is 2 feet high.

Step-by-step explanation:

There are 6 blocks, each block is 4 inches in height. That means the total height is:

6×4=24 inches

Because the question asked for the answer in feet, you have to convert the 24 inches into feet:

24 inches=2 feet

Answer:

The number is rational

Step-by-step explanation:

89.396668 is terminating decimal number

Therefore it is rational.

Answer:it is a rational number

Answer:

Yes, that is correct.

Step-by-step explanation:

Let's start with the order of operations.

12 x 12 = 10

Are there any brackets? No.

Exponents? No.

Multiplication or division? Yes!

12 x 12 = 144

144 + 10

Addition or Subtraction? Yes!

144 + 10 = 154

So, 154 is right!

Answer: 9.22M

Step-by-step explanation:

Step-by-step explanation:

I'm going to assume 50.25 was a typo error and it is $0.25 for each extra minute.

For a 10 minute phone call, the first 5 minutes cost $3 and the other 5 minutes cost $0.25 * 5 = $1.25. Altogether it costs $4.25.

For a 15.5 minute phone call, the first 5 minutes cost $3 and the other 10.5 minutes cost $0.25 * 11 = $2.75. Altogether it costs $5.75.

Answer:

1 = 100. 50 2 = 65 . 30

Step-by-step explanation:

just add extra minutes and mins to call okkk

Answer:

A

Step-by-step explanation:

Perimeter of a rectangle is 2(L+W)

2(37+28)=130 cm and the width should be less than the length by nine so 37-28=9

the answer is c because it’s not an exact number, but it’s still reasonable considering it’s greater than 6 but still less than 7

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let [tex] D(5, 7) = (x_2, y_2) [/tex]

[tex] C(?, ?) = (x_1, y_1) [/tex]

[tex] M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2}) [/tex]

Rewrite the equation to find the coordinates of C

[tex] 2 = \frac{x_1 + 5}{2} [/tex] and [tex] 4 = \frac{y_1 + 7}{2} [/tex]

Solve for each:

[tex] 2 = \frac{x_1 + 5}{2} [/tex]

[tex] 2*2 = \frac{x_1 + 5}{2}*2 [/tex]

[tex] 4 = x_1 + 5 [/tex]

[tex] 4 - 5 = x_1 + 5 - 5 [/tex]

[tex] -1 = x_1 [/tex]

[tex] x_1 = -1 [/tex]

[tex] 4 = \frac{y_1 + 7}{2} [/tex]

[tex] 4*2 = \frac{y_1 + 7}{2}*2 [/tex]

[tex] 8 = y_1 + 7 [/tex]

[tex] 8 - 7 = y_1 + 7 - 7 [/tex]

[tex] 1 = y_1 [/tex]

[tex] y_1 = 1 [/tex]

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let [tex] A(-2, -9) = (x_2, y_2) [/tex]

[tex] B(?, ?) = (x_1, y_1) [/tex]

[tex] M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2}) [/tex]

[tex] -4 = \frac{x_1 - 2}{2} [/tex] and [tex] -5 = \frac{y_1 - 9}{2} [/tex]

Solve for each:

[tex] -4 = \frac{x_1 - 2}{2} [/tex]

[tex] -4*2 = \frac{x_1 - 2}{2}*2 [/tex]

[tex] -8 = x_1 - 2 [/tex]

[tex] -8 + 2 = x_1 - 2 + 2 [/tex]

[tex] -6 = x_1 [/tex]

[tex] x_1 = -6 [/tex]

[tex] -5 = \frac{y_1 - 9}{2} [/tex]

[tex] -5*2 = \frac{y_1 - 9}{2}*2 [/tex]

[tex] -10 = y_1 - 9 [/tex]

[tex] -10 + 9 = y_1 - 9 + 9 [/tex]

[tex] -1 = y_1 [/tex]

[tex] y_1 = -1 [/tex]

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

Answer:

not sure

Step-by-step explanation:

not sure what you're trying to show?

Answer:

5/11 or 0.4545

Step-by-step explanation:

I think this is correct you just count how , many letters she has in her name (that's gonna be our denominator) and then count how many of those are vowels (our numerator). to change it into a decimal you simply divide the top by the bottom.

Answer: It will take 10 weeks! :)

Step-by-step explanation:

So let's look at this together.

The question states that they raise 90$ per week.

There's two ways you can do this

You can multiply,

Think, what times 90 will equal 900? The answer is 10!

90 x 10= 900!

(if you need help with multiplication, let me know)

Or you can divide.

900/90=10!

(if you need help with division, let me know)

So it would take, in total, 10 weeks to raise 900 dollars.

5/25 = 6.8/x

5x = 170

x = 34

5/25 = 12.3/x

5x = 307.5

x = 61.5

34(61.5) = 2091 m2

hope it helps :)

Answer:

B

Step-by-step explanation:

So, we have the expression:

[tex](3k-1)-(5k-4)[/tex]

First, distribute the negative on the right:

[tex]=3k-1-5k+4[/tex]

Combine like terms:

[tex]=(3k-5k)+(-1+4)[/tex]

Add:

[tex]=-2k+3[/tex]

So, our only correct answer is B.

The other answers can't be obtained.

And we're done!

Answer:

465

Step-by-step explanation:

1 + 2 + 3 + ... + n = n(n + 1)/2

1 + 2 + 3 + ... + 30 = 30(31)/2 = 465

Answer:

8 pieces of wood should be put along each side of the chessboard

Step-by-step explanation:

Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.

Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood

Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood

64 pieces of wood would be needed to complete the cheeseboard.

The number of pieces to put along each side of the cheese board will be √64.

This is because the shape of a chessboard is square.

Thus the number of pieces to put on each side will be √64 = 8

Answer:

-25

Step-by-step explanation:

You begin with -40, then decrease by 20 so your new value is -60, then increase by 35 so your final value is -25m... hope this helps (:

Answer:

250 i thoink

Step-by-step explanation:

For making 60 cookies the amount of butter will be 250 decigrams.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.

The amount of butter for 60 cookies in decigrams will be calculated as,

12 cookies = 5 grams

12 cookies = 50 dg

60 cookies = ( 50 x 60 ) /60

60 cookies = 250 dg

To know more about an expression follow

https://brainly.com/question/11311384

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