A person can pay $6 for a membership to the science museum and then go to the museum
for just $1 per visit. For a member of the science museum, what is the total cost of 44
visits?

Answer:

a) x = 492/738

b) m<p = 39°

   m<n = 141°

Step-by-step explanation:

Find the diagram attached

a) The sum of angle on the straight line l is 180degrees

m<n + m<p = 180 degrees

Given

<p = 21x+25

<n = (675x-27)/3

Substitute the given values into the formula

(675x-27)/3 + 21x+25= 180

[(675x-27+3(21x+25))]/3 = 180

675x-27+63x +75 = 180*3

675x+63x-27+75 = 540

738x+48 = 540

738x = 540 - 48

738x = 492

x = 492/738

b) m<p = 21x+25

m<p = 21(492/738) + 25

m<p = 14+25

m<p = 39°

Recall that m<p + m<n = 180

m<n = 180-m<p

m<n = 180 -39

m<n = 141°

Answer:

3w < 18

Step-by-step explanation:

To do 3 times if you put 3 against a variable that means to multiply. Since a number is unknown it turns into variable which is w in this case. Then less than 18 to do the less than symbol, think of them like crocodile they always eat the bigger number and since 3w is less than 18 the croc < eats 18. Thats just an easy way of remembering. Hope this helps :)

Answer:

2

8

2

+

3

0

−

1

8

Step-by-step explanation:

i don't know why its upright

Answer:

B, -3

Step-by-step explanation:

-4x+5=17

this equation can be used to determine the number

-4x=12

x=-3

Answer:

10cm

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

15/60 divided both by 15:

15/15=1 and 60/15=4

Answer:

yes

Step-by-step explanation:

15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes

Answer:

Dinner: $45

Dinner after discount: $29.25

Tax after discount: $31.59

Tip before the discount: 6.75

Total cost: 38.34

Step-by-step explanation:

Hope it helps! :) (double check my work to be sure)

Answer:

Step-by-step explanation:

Answer:

0.25 gallons

Step-by-step explanation:

Figure out how many fluid ounces make one gallon (128) Then start by dividing 128 by 32.. You should get 4. Make 4 a decimal and get 0.25

Answer:First, identify what the question is asking for.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Finally, convert everything into an equation.

42

=

2

⋅

blouse

−

14

Now, solve the equation.

56

=

2

⋅

b

l

o

u

s

e

b

l

o

u

s

e

=

28

The blouse was 28 dollars.

Step-by-step explanation:

1/3 (3y - 6) = 8

distribute: y - 2 = 8

add 2 to both sides: y = 10

10

Answer: y=10

Step-by-step explanation: 1 /3 (3y−6)=8

( 1 /3 )(3y)+( 1 /3 )(−6)=8

y+−2=8

y−2+2=8+2

y=10

Answer: No, it is unlikely that a student chosen at random will have only 2 siblings.

Step-by-step explanation:

Given: Number of students with 2 siblings = 10

Total students = 6+7+10+3 =26

The probability of choosing a student with only 2 siblings = [tex]\dfrac{\text{Number of students with 2 siblings}}{\text{Total siblings}}[/tex]

[tex]=\dfrac{10}{26}\\\\=\dfrac{5}{13}\approx0.38<0.5[/tex]

Hence, it is not likely that a student chosen at random will have only 2 siblings.

Answer:

the answer is parallel lines

Answer:

n=58

Step-by-step explanation:

the square at the bottom right indicates that, that angle equals 90.

all the angles in a triangle add up to equal 180 so we subtract the angles that are given from 180 to get the missing angle

180-90-32=58

n=58

Answer:

122

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

8 pints in 1 gallon

multiply 15.25 and 8 to get answer of 122

Step-by-step explanation:

Volume is calculated by finding out the product of length, width and height so

the correct option is B.

B. The volume is the product of the area of the base, 3x(3x + 4) and the height, 3x - 1.

Hope it will help :)

Answer:

[tex]P_1 = 24cm[/tex]

Step-by-step explanation:

Represent:

Phil's height with P

Suzanne's height with S

Phil's shadow with P1

Suzanne's shadow with S1

So, we have:

[tex]P = 51.2cm[/tex]

[tex]S = 5'4"[/tex]

[tex]S_1 = 76.2cm[/tex]

Required

Calculate the length of Phil's shadow --- Missing part of question

To do this, we make use of the following equivalent ratio.

[tex]P:S = P_1 : S_1[/tex]

Convert [tex]S = 5'4"[/tex] to cm

[tex]S = 5ft\ 4in[/tex]

[tex]S = (5*30.48+ 4*2.54)cm[/tex]

[tex]S = 162.56cm[/tex]

Substitute values for P, S and S1

[tex]51.2cm : 162.56cm = P_1 : 76.2cm[/tex]

Express as fraction

[tex]\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}[/tex]

Make P1 the subject

[tex]P_1 = 76.2cm * \frac{51.2cm}{162.56cm}[/tex]

[tex]P_1 = 76.2cm * \frac{51.2}{162.56}[/tex]

[tex]P_1 = \frac{76.2cm * 51.2}{162.56}[/tex]

[tex]P_1 = \frac{3901.44cm}{162.56}[/tex]

[tex]P_1 = 24cm[/tex]

Hence, the length of Phil's shadow is 24 cm

Answer:

EasY

Step-by-step explanation:

Okay so basically like terms are when the variable are the same

so like 5n can go with ones with the same variable which is n

so 5n as a like term would be 7n it couldn't be like 8r because it isn't the same variable as 5n

does this help?

can you reask or something?? do i answer all the q 11 stuff?? im not sure how the logic works, and it is covering the other stuff, ill answer there, i have the image in my tab

Answer:

b

Step-by-step explanation:

8*5=40

40*1/3=40/3

3x+5x+1=17

x=2

y=5•2+1

y=1

(x, y)=(2, 11)

3x+2(4x+5)=43

x=3

y=4•3+5

y=17

(x, y)=(3, 17)

I think I did it right and I hope I helped you

Answer:

assuming angle RST=90 degrees

h=19

Step-by-step explanation:

RU/h=h/UT

RU=RT-UT=42-12=30

30/h=h/12

h^2=360

h=18.97   rounded to nearest tenths=19

Answer:

width = 5 ft

length = 9 ft

Step-by-step explanation:

Here, we want to get the length and width of the garden

length is 1 ft less than twice the width

if width = w

length = 2w-1

The product of the two is 45

so, we have it that;

w(2w-1) = 45

2w^2 - w = 45

2w^2 - w -45 = 0

2w^2 - 10w + 9w -45 = 0

2w(w-5) + 9(w-5) = 0

(2w + 9)(w-5) = 0

2w + 9 = 0

or w -5 = 0

w = 5 or-9/2

w cannot be negative, so we = 5

l = 2(5) -1 = 10 - 1 = 9 ft

Answer:

4x

Step-by-step explanation:

Answer:

A. 2x is correct.

Step-by-step explanation:

Finding the measure of the segment BC and ST by the Distance formula: B (5, 7), C (8, 8), S (1, 11), T (7, 13).

BC = √(8-5)² + (8 - 7)²

BC = √10

ST = √( 7 - 1)² + ( 13 - 11)²

ST = 2√10

Scale Factor = Image/ Pre-image = ST/BC = 2√10/√10 = 2

This means that the image, ST, is twice as large as the pre-image BC.

Answer:

to gain what result

Step-by-step explanation:

if u can please the full question

Answer:

halo theme is <3

Step-by-step explanation:

no reason to disagree with facts

Answer:

While there is no one Halo "theme song", "Never Forget" was a key theme in their marketing campaign.

Step-by-step explanation: