A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?

Answer:

A

Step-by-step explanation:

[tex]\frac{10}{9+\sqrt{7} }[/tex]

To rationalise the denominator multiply the numerator and denominator by the conjugate of the denominator.

the conjugate of 9 + [tex]\sqrt{7}[/tex] is 9 - [tex]\sqrt{7}[/tex]

= [tex]\frac{10(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7}) }[/tex] ← expand denominator using FOIL

= [tex]\frac{90-10\sqrt{7} }{81-7}[/tex]

= [tex]\frac{90-10\sqrt{7} }{74}[/tex] ( divide terms on numerator/ denominator by 2 )

= [tex]\frac{45-5\sqrt{7} }{37}[/tex] → A

Answer:

A[tex]\frac{45-5\sqrt7}{37}[/tex]

Step-by-step explanation:

Easy. First let's multiply numerator and denominator by [tex]9-\sqrt7[/tex] since we will create a difference of squares to get rid of the root, then start doing the calculations

[tex]\frac{10(9-\sqrt7)}{(9+sqrt7)(9-\sqrt7)}=\frac{10(9-\sqrt7)}{81-7} = \frac{10(9-\sqrt7)}{74} =\\\frac{5(9-\sqrt7)}{37}=\frac{45-5\sqrt7}{37}[/tex]

Answer:

26

Step-by-step explanation:

Rectangle J and Rectangle K are similar

You can divide 13 by 3.25

13/3.25=4

If Rectangle J is 4 times bigger than K all you have to do is devide 104 by 4 and you get 26

Answer:

8 -1= 7

Step-by-step explanation:

find the largest number and subtract from the smallest number.

Answer:

[tex]8 - 1 = 7[/tex]

Step-by-step explanation:

that will be my answer

Using the normal distribution and the central limit theorem, it is found that:

P(x < 0.29) = 0.2981.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then, the mean and the standard error are given by:

[tex]\mu = p = 0.31[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.31(0.69)}{100}} = 0.04625[/tex]

The probability our sample is 29% orange candies or less is the p-value of Z when X = 0.29, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.29 - 0.31}{0.04625}[/tex]

[tex]Z = -0.43[/tex]

[tex]Z = -0.43[/tex] has a p-value of 0.2981.

Hence:
P(x < 0.29) = 0.2981.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Answer:

I think its 44.9

Step-by-step explanation:

Answer:

y= 3x+14

Step-by-step explanation:

3x because the slope is 3

14; solve for B by plugging in x=-4, y=-2 into y=3x+B

Answer:

C/8

Step-by-step explanation:

Because the range is the biggest number subtracted by the lowest number and in our data sat 7,15,and 12 15 is the biggest number and 7 is the smallest so what's 15-7?

8 so C

Have a great day.

Answer:

w=120°

x=45°

y=30°

Step-by-step explanation:

AT=PR, AR=PT

Therefore, y=30°

y+45°=x+30°

x=45°

In triangle:

y+30°+w=180°

w=120°

Hope it helps! :)

Total:-

[tex]\\ \tt\hookrightarrow 3\dfrac{3}{4}+5[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{15}{4}+5[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{15+20}{4}[/tex]

[tex]\\ \tt\hookrightarrow 35/4[/tex]

[tex]\\ \tt\hookrightarrow 8\dfrac{3}{4}gallons[/tex]

[tex]\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}[/tex]

1 bucket contains 3 3/4 gallons of water

[tex]\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}[/tex]

Total amount of water after adding 5 gallons to it =?

[tex]\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Solution :-}}}}}}[/tex]

[tex] \sf \: 3 \frac{3}{4} + 5[/tex]

[tex] \sf \: \frac{15}{4} + 5[/tex]

[tex] \sf \: \frac{15}{4} + 5[/tex]

[tex] \sf \: 5\frac{15}{4} [/tex]

[tex] \sf \: \frac{35}{4} [/tex]

➪ Therefore, She will have 35/4 gallons of water in all...~

Answer:

Add 22 Then eat caca

Step-by-step explanation:

Thats it

Answer:

1

Step-by-step explanation:

Answer:

$423,846

Step-by-step explanation:

12x$18,492=221,904

9x22,438=201,942

221,904+201,942=423,846

hope this helps

Answer:

x= 1

if thats not what u trien find lmk and ill fix it n give correct answer

Step-by-step explanation:

Answer:

5+5+8+8=26

the perimeter of a 5ft by 8ft rectangle is 26ft

Step-by-step explanation:

Hope this helps!!!

-Liyah

Answer:

26ft

Step-by-step explanation:

The formula for the perimeter of a rectangle is P= 2w + 2l

w= 5ft and l= 8ft

so P= 2 x 5 + 2 x 8

= 26ft

Answer:

6

Step-by-step explanation:

Important info given:

Step 1: We need to determine the length of side A.

Since, these two triangles are similar, let us use the property of similarity of triangles to determine the length of side A.

Therefore we have:

[tex]\frac{8}{4} = \frac{a}{3}[/tex]

Step 2: Multiplying by 3, and then we have:

[tex]\frac{8*3}{4}=a[/tex]

[tex]\frac{24}{4}=a[/tex]

Step 3: Simplify, and we get:

6 = a

Hence, the length of side A is 6 cm.

[RevyBreeze]

C. Yes, at negative and positive x‐coordinates or zero

I believe it is this

Answer: b Yes ,at negative x coordinates or zero

Step-by-step explanation:

we can see through the values that the graph will graph on the negative x coordinate or zero

Answer:

$59,500

Step-by-step explanation:

Assuming you mean 40%:

Two ways:

$42,500 + ($42,500 x 0.4)

OR

$42,500 x 1.4

= $59,500

[tex] \tt 2 \dfrac{11}{12} [/tex]

[tex] \\ \\ [/tex]

[tex] \to\tt \dfrac{35}{12} [/tex]

Answer:

X=7

Step-by-step explanation:

Both are equal angles( the little 2 arrows prove that) so we set up the equation like this

75=11x-2

We need to isolate x to solve for it so we add 2 to both side since it's the opposite of subtraction.

our equation will then look like this

77=11x

last but not least, we divide 11 to both sides since it's the opposite of multiplication which 11 and X are doing

the answer is 7

Answer:

X=3

Step-by-step explanation:

Answer:

He can buy up to 2 outfits.

Step-by-step explanation:

440.12 + 2(12.86) + 19.26 + 53.96o ≤ 620

53.96o + 485.10 ≤ 620

53.96o ≤ 134.9

o ≤ 2.5

He can buy up to 2 outfits.

Answer: 720 deg

Step-by-step explanation:

The given angles are just all the interior angles in 2 quadrilaterals

So since the sum of the int. angles in 1 quadrilateral is 360 deg, the sum in 2 is 720 deg

Answer:

it takes 10 ones to make a ten.

Answer:

6. yes they are congruent, they are exactly the same shape and size

7. no they are not congruent, they are different sizes

8. they are congruent, they have the same shape and size

Step-by-step explanation:

Similar triangles may or may not have equal measures

Allie's error is that Allie did not state the similarity theorem

The statement JKL ~ XYZ means that:

Triangles JKL and XYZ are similar triangles

From the complete question, we have the following highlights:

The above means that, both triangles are similar by SAS or SSS

In Allie's statement, the similarity theorem is not stated

Hence, Allie's error is that Allie did not state the similarity theorem

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

B. 10cm, 15cm, 24cm

Step-by-step explanation:

The 2 shortest sides of a triangle added together must be longer than the longest side of the triangle.

10cm + 15cm > 24cm, so the answer is B.

Work Shown:

A = P*(1+r/n)^(n*t)

A = 4750*(1+0.10/2)^(2*10)

A = 12,603.164099436

A = 12,603.16

That represents the account balance after 10 years. To find the interest only, subtract off the deposit amount.

interest = A-P = 12,603.16 - 4,750 = 7,853.16