13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)

Answer:

3x = 14

Step-by-step explanation:

Given the two linear equations, 5x - y = 6 and -2x + y = 8:

We can add both equations the same way we add integers.  The only difference is that we add the terms with the same variables.

    5x  - y   =  6

+  -2x + y   =  8  

   3x + 0y = 14  or  3x = 14

Therefore, the sum is 3x = 14.

Hello mashiamcphee141!

Let's solve for x in the given question.

[tex]\sf\:\frac { x + 3 } { 2 } + \frac { 2 x } { 7 } = 7\\\sf\:7\left(x+3\right)+2\times 2x=98 \\\sf\:7x+21+2\times 2x=98 \\\sf\:11x+21=98 \\\sf\:11x=98-21 \\\sf\:11x=77 \\\sf\:x=\frac{77}{11} \\\boxed{\sf\:x=7 }[/tex]

Steps :-

See the attachment if the working is not clear.

____________

[tex]\mathfrak{Lucazz}[/tex]

Given that:

[{(x+3)/2} + (2x/7)] = 7

Take the LCM of 2 and 7 is 14.

⇛[{7(x+3)+2(2x)}/14] = 7

⇛[{7x+21 + 4x}/14] = 7

⇛[{11x+21}/14] = 7/1

Now,

By using cross multiplication method,we get

⇛1(11x+21) = 7(14)

⇛11x + 21 = 58

⇛11x = 58-21

⇛11x = 37

∴ x = 37/11

Hence, the value of x will be 37/11 respectively.

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Answer:

It's a matter of opinion. In my opinion you can hypothesize all you want, when  you get to do it in practice it's almost 100% garantee of failure or incomplete hypothesis. So testing is way more important IMO.

Step-by-step explanation:

Answer:

if we let admission fee per child to be a and the rental fee for the skates  to be s.

Then john 6a + 5s =32

Juanita     7a + 5s = 35.25

Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.

        6a + 5s = 32

        7a + 5s = 35.25

we get -a + 0s = -3.25     therefore a= 3.25

Then we can solve for s by substituting a in either of the two equations

 6 (3.25) + 5s =32

 19.5 + 5s =32

            5s = 12.5

               s = 12.5/5

               s = 2.5

Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.

Step-by-step explanation:

Answer:

n=-11

Step-by-step explanation:

n-4=-15

n-4+4=-15+4

n=-11

Answer:

Your answer is All of the Above.

Hope this helps!

Step-by-step explanation:

OA is the radius

OC is the radius

and OB is the radius

( They are all half length of the circle )

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

Answer:

Step-by-step explanation:

Answer:

PQ≅ST; QR ≅TW; PR ≅SW

Step-by-step explanation:

[tex] \: [/tex]

the right answer is

Step-by-step explanation:

[tex]24x - 18[/tex]

[tex] = 6(4x - 3)[/tex]

[tex] \: [/tex]

Answer:

The answer is B final answer becuase its all positive.

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

Answer:

[tex]7^-^1[/tex]

Step-by-step explanation:

So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.

Answer:

B

Step-by-step explanation:

If we consider a point on the line (x, y ) then the corresponding point on the inverse, the other line will be (y, x )

A function and its inverse are reflections in the line y = x

Consider the point (1, 5 ) on the red line, the corresponding point on the blue line will be (5, 1 )

This is the case in graph B

The graph showing a function and its inverse is the graph D.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of a function and its inverse are symmetric with respect with the line y = x.

On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.

You will see this is true only for choice D.

Hence, the correct graph is D

Learn more about graphs, click;

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Answer:

the answer is twenty one

Answer:

3: 55 degrees

4: 128 degrees

Step-by-step explanation:

A straight line is 180 degrees and so you do 180-125 to get 55 degrees

180-58 is 128 degrees

Answer:

3.2

Step-by-step explanation:

Answer:

With the context you gave the awnser would be m≠5n

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

c) multiplication

Step-by-step explanation:

Answer: The number is 57

Step-by-step explanation:

Lemme tell you , We dont know the number , so we imagine it as x

so the question says one third of a number , so 1 third is 1 divided by 3 and if we imagene the number as x , we can write x/3 .

So x/3 +7 = 26 , as the equation says one third of a number plus 7 is equal to 26.

So write the lcm of 3 and 7 and then cross multiply , and subtract . you get      

x = 57 , and we imagined x as the number so if x is 57 , so the number we have to find is also 57 . Done Easy .

Answer:

8m-16 =16

8m=16+16

8m =32

m=32/8

m=4

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY

Answer:

i dont know

Step-by-step explanation:

MEEEEEEEEEE please

Answer:   -4.1 degrees celsius

Step-by-step explanation:

Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1

Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1

Answer:

4 hours

Step-by-step explanation:

1 hour x 3 = 3 hours

So Brian spent 3 hours assembling and painting the plane

However the question asks for the total time, so we would do:

1 hour + 3 hours to get 4 hours

So in total, Brian spent 4 hours carving, assembling and painting the plane

Hope this makes sense.

Answer: Alex has $77 more than Amy

Explanation:

Draw a vertical number line. Plot -28 and 45 on this number line. Also, plot the number 0. Note the distance from -28 to 0 is 28 units. Then from 0 to 45 is another 45 units.

Overall, the distance is 28+45 = 77 units. This is the distance between the points -28 and 45 on the number line. It indicates Alex has $77 more compared to Amy. Effectively, Amy has $0 right now, but she's in debt $28. If we ignored the debt temporarily, then Alex has $45 more compared to Amy's balance of $0. Then we tack on the debt of 28 to bump to $77.

Another way to see this is to consider that Amy somehow gets $28. That 28 dollars is then immediately paid back to bring the balance back to $0. Then we'll tack on the $45 to get to 45+28 = 77.

Answer:

k=28

Step-by-step explanation:

Answer:

Q9: C.

Since each smaller line counts as 1/5, you can simply start from the point 1 and count 3 times to reach D.

[tex]3*\frac{1}{5} =\frac{3}{5}[/tex]

Since you started at 1, you can add [tex]1+\frac{3}{5} =1\frac{3}{5}[/tex]

Q10: B

We can subtract/ignore 3 from all of them to make things simpler.

Now, we need to find the lowest value to greatest from:

[tex]\frac{5}{8}, \frac{7}{16} ,\frac{1}{2}[/tex]

In order to compare these, we make the denominators the same (in this case: 16)

[tex]\frac{5}{8} =\frac{5*2}{8*2} =\frac{10}{16}[/tex]

[tex]\frac{7}{16} =\frac{7}{16}[/tex]

[tex]\frac{1}{2} =\frac{1*8}{2*8} =\frac{8}{16}[/tex]

Since 7 is the smallest value, followed by 8 and lastly 10,

the smallest to greatest in order would be

[tex]\frac{7}{16} ,\frac{1}{2} ,\frac{5}{8}[/tex] (B)

11: C

If you look at both [tex]\frac{2}{4}[/tex] and [tex]\frac{5}{8}[/tex], they are not directly above one another. Hence, they are not equal.