Last year, there were 245 pies baked for the bake sale. This year, there were k pies baked . Using k, write an expression for the total number of pies baked in the two years.

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

[tex]\dfrac{1}{2}(10x+20y+10z)[/tex]

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

[tex]\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)[/tex]

[tex]=5x+10y+5z[/tex]

Therefore, the required expression is 5x+10y+5z.

Answer:

x=36

Step-by-step explanation:

Answer: X=2

Step-by-step explanation: you want to distribute the 2 to the 3x and 4. That will give you 6x+8 now you want to subtract 8 from both sides. That will give you 6x=12 and you divide both sides by 6 and your final answer should be X=2. :)

Answer:

x = -6

Step-by-step explanation:

Hello!

2x - 15 = 3(2x + 3)

Distribute the 3

3 * 2x = 6x

3 * 3 = 9

2x - 15 = 6x + 9

Subtract 2x from both sides

-15 = 4x + 9

Subtract 9 from both sides

-24 = 4x

Divide both sides by 4

-6 = x

Hope this helps!

It will take 3 months for both company's fees be the same

Let

y = total charges

x = number of months

Verizon:

y = 40 + 60x

T-Mobile:

y = 100 + 40x

Number of months it will take both companies to charge the same fee

Equate the total charges of both companies

40 + 60x = 100 + 40x

40 - 100 = 40x - 60x

-60 = - 20x

x = -60 / -20

x = 3 months

https://brainly.com/question/24374422

Answer:

no solution

Step-by-step explanation:

1/3(12-6x)=4-2x

4-1.3x=4-2x

4=4-0.7x

0=0.7x

ns

Answer:

hope it helps

Step-by-step explanation:

Answer:

SEE THE IMAGE FOR SOLUTION..

9514 1404 393

Answer:

  D.) a+2b

Step-by-step explanation:

The integers 'a' and 'b' can be any, so you can choose a couple and evaluate these expressions to see what you get. For example, we can let a=1 and b=0. For these values, the offered expressions evaluate to ...

  A) 3(0) = 0 . . . even

  B) 1 +3 = 4 . . . even

  C) 2(1+0) = 2 . . . even

  D) 1 +2(0) = 1 . . . odd

_____

Additional comment

These rules apply to even/odd:

Then A is (odd)(even) = even; B is (odd)+(odd) = even; C is (even)(whatever) = even; D = (odd)+(even) = odd.

Answer:

General admissions sold: 880

Reserved seating sold: 256

Step-by-step explanation:

Set up equation:

Variable x = people who bought general admission

Variable y = people who bought reserved seating

x + y = 1136

5x + 7y = 6192

Isolate a variable in any equation:

Y = 1136 - x

Substitute the value of the variable in the other equation:

5x + 7(1136 - x) = 6192

5x + 7952 - 7x = 6192

-2x + 7952 = 6192

-2x = -1760

x = 880

Substitute the value of x in any equation:

880 + y = 1136

y = 256

Check your work:

880 + 256 = 1136

1136 = 1136

Correct!

5(880) + 7(256) = 6192

4400 + 1792 = 6192

6192 = 6192

Correct!

Answer:

Amount saved by making a cash payment is $24.6

Step-by-step explanation:

We start by calculating the amount to be paid if payment was by installments.

We are told that there would be a down payment of $25 and $15 every month for 12 months.

So total installment payment would be;

$25 + 12($15) = $25 + $180 = $205

Now let’s try and figure out the cash payment

For the cash payment, we have 12% less than installment payment.

Kindly note that 12% is same as 12/100 = 0.12

Thus, 12% less payment would be;

205-0.12(205) = 205 - 24.6 = $180.4

Thus, the amount saved if payment was cash would be;

$205 - $180.4 = $24.6

Answer:

$52,500

Step-by-step explanation:

1050/0.0200=52500

Answer:

B. 52,500

Step-by-step explanation:

Answer:

22.08 cm

Step-by-step explanation:

Area = pi*r^2*(angle/360)

r=11.04, d=22.08

Answer:

4

Step-by-step explanation:

4 because 4^2 = 16.

Answer:

D. She earns $580 and spends $422.

Step-by-step explanation:

The option of Monica earning $580 and spending $422 will allow her to have enough money to buy the new computer.

First, add $580 to the $284 that she already has saved:

284 + 580

= $864

Then, subtract $422 from this:

864 - 422

= $442

So, this option will leave her with $442. Since she only needed to save at least $399 to buy the computer, this means she has enough money for it.

The option that will let her buy the computer is D. She earns $580 and spends $422.

Answer:

26 is the answer

Step-by-step explanation:

hope this helps you

ANSWER:

               It is C

NO EXPLANATION

Answer:

[tex]x + y = - 5[/tex]

Step-by-step explanation:

hopefully it is clear and makes sense

:)

Answer:  (i) 3

(ii) 10

(iii) 1080

Step-by-step explanation:

(i) Coefficient is the number written before any variable.

Coefficient of x in [tex]3x+10=36[/tex] is 3.

(ii) Constant is a numerical term written without any variable.

Constant in [tex]2x+10=5x[/tex] is 10.

(iii) Let x be the number of miles Katie's family drive.

Since they charge $30 combined with $0.25 per mile drive.

So, Total charge = 0.25 x +30 ( in dollars)

If they charged $300, then

[tex]0.25 x +30 =300[/tex]

Subtract 30 from both sides, we get

[tex]0.25x=270[/tex]

Divide both sides by 0.25, we get

[tex]x=1080[/tex]

Hence, Katie drove 1080 miles.

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] \mathsf{3(2x - 5)}[/tex]

Distribute 3 through the parentheses

⇒[tex] \mathsf{3 \times 2x - 3 \times 5}[/tex]

Calculate the product

⇒[tex]6x - 15[/tex]

Hope I helped!

Best regards!!

Answer:

9, 13, 17, 21

Step-by-step explanation:

If x=2,

y=1+4(2)

y=9

This goes on, like a pattern. If x increases by 1, y inreases by 4. So, if y=3, x=13. If x=4, y=17, and so on.

Answer:

₦40.30

Step-by-step explanation:

Step 1: Find how much each person gets equally

Divide 142 by 3

[tex]142 \div 3\\\\= 47.3[/tex]

Each person's share is ₦47.3

Step 2: Find out how much Ore, Tobi, and Mary has

Subtract 11 from Ore's share

[tex]47.3 - 11\\\\= 36.3[/tex]

Add that 11 to Mary's share

[tex]11 + 47.3\\\\= 58.3[/tex]

Subtract 7 from Tobi's share

[tex]47.3 - 7\\\\= 40.3[/tex]

Add that 7 to Ore's now-share

[tex]36.3 +7\\\\=43.3[/tex]

Tobi's share is 40 naira and 30 kobo

Extra Info:

To see if it is correct, confirm the answer by adding all their shares.

Answer:

There is not sufficient evidence to support a claim of linear correlation between the two variables.

Step-by-step explanation:

The data provided is as follows:

X        Y

78       5.5

79       8.8

56.2      3.3

68.3       1.7

77.9      10.8

38.2       0.1

(a)

The scatter plot is attached below.

(b)

Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, r.

The correlation coefficient between the number of internet users and the award winners is,

r = 0.797.

(c)

The test statistic value is:

[tex]t=r\sqrt{\frac{n-2}{1-r^{2}}}[/tex]

  [tex]=0.797\times\sqrt{\frac{6-2}{1-(0.797)^{2}}}\\\\=0.797\times 3.311372\\\\=2.639163484\\\\\approx 2.64[/tex]

The degrees of freedom is,

df = n - 2

   = 6 - 2

   = 4

Compute the p-value as follows:

[tex]p-value=P(t_{n-2}<2.64)=0.057[/tex]

*Use a t-table.

p-value = 0.057 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.

Answer:

sinF = [tex]\frac{11}{61}[/tex]

Step-by-step explanation:

sinF = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EG}{FE}[/tex] = [tex]\frac{11}{61}[/tex]

The ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].

In a right angled triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse.

sin θ = opposite side w.r.t θ / hypotenuse

According to the given question

We have

A right angle triangle EFG, in which

∠G = 90 degree

EG = 11

FE = 61

and,  GF = 60

Now, the opposite side with respect to ∠F is GE

and the hypotenuse is EF

Therefore, sine of ∠F = side which is opposite w.r.t ∠F/ hypotenuse

⇒ [tex]sinF=\frac{GE}{EF}[/tex]

⇒ [tex]SinF=\frac{11}{61}[/tex]

Hence, the ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].

Learn more about sine of an angle here:

https://brainly.com/question/13656175

#SPJ2

Answer:

-1.6

Step-by-step explanation:

0 = 3x + 5

-3x = 5 /÷(-3)

x = -5 ÷ 3

x = -1.6 -5/3

Answer:

c. p(10)=26,327(1+0.024)^10

Step-by-step explanation:

its just the answer

Answer:

[tex]\boxed{\sf Option \ 3}[/tex]

Step-by-step explanation:

The problem is exponential growth.

[tex]a(1+r)^t[/tex]

[tex]a = \sf initial \ amount[/tex]

[tex]r = \sf rate[/tex]

[tex]t= \sf time[/tex]

The third option is right.

[tex]P(10)=26237(1+2.4\%)^{10}[/tex]

[tex]P(10)=26237(1+0.024)^{10}[/tex]

Answer:

To find the median you cross off the first few numbers and the last few until you get to the middle then when you get the middle number that will be your median

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

It's the middle value of a list of numbers arranged in order.

For example the median of the list 1 2 3 4 5 is 3.

If there are an even number of values, the median is the mean of the middle two. For example:

1 3 4 5 7 9:

The middle 2 numbers are 4 and 5 so

the median is  (4 + 5) / 2 = 4.5

Answer:

Complementary effect

Step-by-step explanation:

Answer:

120c

Step-by-step explanation:

7c(-5c)*(-4+6)

7c+5c*4+6

12c*10

120c

Answer:

the answer can be step by step explanation will be found in the answer was Matilda by 776 7 x 6 then the answer you will you - with the answer dancer used you New divide the answer that answer the simple your answer if we multiply you can contact me and say me in which is correct or wrong and I am a teacher

Answer:

[tex]l = 28[/tex]

Step-by-step explanation:

Given

[tex]S = \sum (2k - 3); k = 4\ to\ l[/tex]

Required

What is l when S = 725

This can be solved using Sum of n terms of an AP;

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where

[tex]S_n = 725[/tex]

[tex]T_1 = first\ term[/tex]

To get T1; we substitute 4 for k in 2k - 3

[tex]T_1 = 2 * 4 - 3[/tex]

[tex]T_1 = 8 - 3[/tex]

[tex]T_1 = 5[/tex]

[tex]T_n = last\ term[/tex]

To get Tn; we substitute l for k in 2k - 3

[tex]T_n = 2 * l - 3[/tex]

[tex]T_n = 2l - 3[/tex]

n = the number of terms;

Since k = 4 to l, then

[tex]n = l - 4 +1[/tex]

[tex]n = l - 3[/tex]

Substitute these values in [tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

[tex]725 = \frac{l-3}{2}(5 + 2l - 3)[/tex]

Collect Like Terms

[tex]725 = \frac{l-3}{2}(2l + 5- 3)[/tex]

[tex]725 = \frac{l-3}{2}(2l + 2)[/tex]

Open the bracket

[tex]725 = \frac{l-3}{2} * 2l + \frac{l-3}{2} * 2[/tex]

[tex]725 = (l-3) * l + (l-3)[/tex]

[tex]725 = l^2-3l + l-3[/tex]

[tex]725 = l^2-2l -3[/tex]

Subtract 725 from both sides

[tex]725 - 725 = l^2-2l -3 - 725[/tex]

[tex]l^2-2l -3 - 725 = 0[/tex]

[tex]l^2-2l - 728 = 0[/tex]

[tex]l^2 + 26l - 28l - 728 = 0[/tex]

[tex]l(l + 26) - 28(l + 26) = 0[/tex]

[tex](l - 28)(l + 26) = 0[/tex]

[tex]l - 28 = 0[/tex] or [tex]l + 26 = 0[/tex]

[tex]l = 28[/tex] or [tex]l = -26[/tex]

But l must be positive;

Hence, [tex]l = 28[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:

[tex]13x^8[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x^5 - 16x^2 + 13x^8[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.