1) Deb owns a cake shop and she is working on two wedding cakes this week. The first cake
consists of 5 small tiers and 3 medium tiers, which will serve a total of 252 guests. The
second one includes 1 small tier and 3 medium tiers, which is enough servings for 168
guests. How many guests does each size of tier serve?

A small tier will serve
guests and a large tier will serve guests.

Answers

Answer 1

Answer: Hope this helps

Step-by-step explanation:

Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.

The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.

The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.

The system of equations is then { 3s+m=100 3s+2m=140  

{

3s+m=100

3s+2m=140

Part B:

The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:

3s+2m amp;= amp;140 −(3s+m amp;= amp;100)       m amp;= amp;40

3s+2m

−(3s+m

m

 

amp;=

amp;=

amp;=

 

amp;140

amp;100)

amp;40

Substitute m=40m=40 into either equation and solve for ss:

3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20

3s+m

3s+40

3s

s

 

amp;=100

amp;=100

amp;=60

amp;=20

The solution of the system is then (s,m)=(20,40)

(s,m)=(20,40)

.

Part C:

Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.


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What is the value of the 3 in the number 738?

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30

Because the value of 7 is 700 and the value of 8 is 8

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

Angles and XWY and STR

Step-by-step explanation:

These two angels are alternate exterior angels because:

- They are on different sides of the transversal (the line intersecting the two parallel lines)

- They have the same angle measure

- They are exterior, meaning they are on the outside, not inside (interior)

Hope this helps!!! :)

267.4 divided by 1\10

Answers

Answer:

2674

Step-by-step explanation:

267.4 divided by 1/10 is the same as 267.4/.10 which you can use a calculator and solve that easly.

Or you can do 267.4/1 times 10/1 because when you are dividing, you flip the second number and mutply instead of divide. And when doing that, the answer is the same.

The Wiggins Family ate dinner at a restaurant. The total cost of the meal was $85.60. The family left a 15% tip for the waiter. How much money was the total bill? (Make sure you type your answer using $ and the decimal)

Fast please

Answers

Answer:

$98.44

Step-by-step explanation:

You already know how much the actual dinner was so all you have to do is figure out how much 15% of the $85.60 is which is $12.84 meaning that they left a tip of $12.84 for the waiter. Then you would just add the cost of the dinner with the tip to get the total amount they spent. $85.60 + $12.84 = $98.44. So the total amount the Wiggins spent is $98.44

Sorry, Here watch this
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Answers

b
u wanna make yards into feet.
1 yard = 3 feet
since there is 14
14x3 = 42 feet
and since there is still 2 feet
u add them 42+2
44 feet (b)

Answer:

44

Step-by-step explanation:

Tell whether the statement is true or false.
{ {4, 16, 24, 7, 37} = (37, 16, 7,42,4}​

Answers

Answer:

false

Step-by-step explanation:

i dont understand kinda

but if you add it,

88<106

so false

What is the are of the triangle?

Answers

Answer:

48 units²

Step-by-step explanation:

Area=1/2 box=hight

area=1/2×12×8

area=48

hope it helps

have a great day

Answer:

48

Step-by-step explanation:

What is the domain and the range of: (2,3), (3,5), (2,7), (4,8)

Answers

Answer:

Domain: {2, 3, 4 }

Range: {3, 5, 7, 8}

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

If anyone can help me I’d be glad. I’m not the best at geometry :/

Answers

Answer:

C) 1.25

Step-by-step explanation:

The hypotenuse is the sloping side.

The base is the bottom side.

The triangles are similar, so you can use the sides of either triangle. Let's use the side lengths of the smaller triangle.

Length of hypotenuse: 5

Length of base: 4

Ratio of hypotenuse to base: 5/4

To find a decimal value, divide 5 by 4. Use a calculator or long division.

5/4 = 1.25

Answer: C) 1.25

2. Write the equation of the circle with a center at
(-2, -8) and a radius of v10.

A. (x + 2)^2 + (y + 8)^2 = 25
B. (x - 2)^2 + (y – 8)^2 = 10
C. (x + 2)^2 + (y + 8)^2 = 10
D. (x + 2)^2 + (y + 8)^2 = 100
E. (x - 2)^2 + (y - 3)^2 = 100

Answers

Answer:

C. [tex] (x +2) ^2 +(y+8)^2 =10 [/tex]

Step-by-step explanation:

Center of the circle (h, k) = (-2, - 8)

Radius [tex] r=\sqrt {10}[/tex]

Equation of circle in center radius form is given as:

[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] [x - (- 2)] ^2 +[y-(-8) ]^2 =(\sqrt {10})^2 [/tex]

[tex] (x +2) ^2 +(y+8)^2 =10 [/tex]

15. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
52
X
13

Answers

Answer:

15) x = 10.2

16) x = 22.7 and y = 44.6

Step-by-step explanation:

15) tan 52° = 13/x

x = 13/tan 52°

16) sin 90°/50 = sin 27°/x

x = 50(sin 27°)

sin 90°/50 = sin 63°/y

y = 50(sin 63°)

Solve the triangle. Round decimal answers to the nearest tenth.

Answers

Answer:

[tex]AB= 20.9[/tex]

[tex]A = 33.2^\circ[/tex]

[tex]C = 54.8^\circ[/tex]

Step-by-step explanation:

Given

The above triangle

Required

Complete the lengths

To do this, we make use of sine rule.

[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]

[tex]\frac{14}{\sin A} = \frac{24}{\sin 70}[/tex]

[tex]\frac{14}{\sin A} = 25.54[/tex]

Cross multiply

[tex]\sin A * 25.54 = 14[/tex]

[tex]\sin A = \frac{14}{25.54}[/tex]

[tex]\sin A = 0.5482[/tex]

Take Arc sine of both sides

[tex]A = sin^{-1}(0.5482)[/tex]

[tex]A = 33.2^\circ[/tex]

To calculate C, we have:

[tex]C = 180 -A-B[/tex] --- angles in a triangle

[tex]C = 180 -55.2-70[/tex]

[tex]C = 54.8^\circ[/tex]

Calculate length AB using the sine rule.

[tex]\frac{AB}{sin C} = \frac{AC}{B}[/tex]

So, we have:

[tex]\frac{AB}{sin 54.8} = \frac{24}{sin 70}[/tex]

Make AB the subject

[tex]AB= sin 54.8*\frac{24}{sin 70}[/tex]

[tex]AB= sin 54.8* 25.54[/tex]

[tex]AB= 20.9[/tex] -- approximated

Someone please help me, I can't figure this out. I already asked this but I got a file. Please no files, I'm begging, I just want my math answers. Thank you,

(Look in image for question)
(Measurements are 4cm, 10cm, 5cm, 6cm, and 5cm).​

Answers

Answer:

I believe the volume is 120 and the surface area is 124

Step-by-step explanation:

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

y = 8x + 86

Step-by-step explanation:

Answer:

choice 2) y = 8x + 86

Step-by-step explanation:

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.

Answers

Answer:

He would need to sell 14 more hotdogs

Step-by-step explanation:

140/56= 175/x

140x= 9,800

x= 70

56-70= 14

2x° + 14°
60°
X=
degrees.

Answers

2x+14=60(vertical)
2x=46
x=23

Answer:23

Step-by-step explanation:

23232332323223323232323232323

Write the polynomial in factored form as a product of linear factors:
p(a) = a^3 + 3a^2+ 9a + 27
zeros of polynomial.

Answers

Answer:

Step-by-step explanation:

p(A) = a^3 + 3a^2 + 9a + 27

put brackets around the 1st and second terms and another set around the 3rd and 4th

P(a)= (a^3 + 3a^2) + (9a + 27)

Using the distributive property, pull out the common factor for each of the 2 terms that contain the brackets.

P(a) = a^2 ( a + 3) + 9(a + 3)

Let a + 3 = x

P(a) = a^2x + 9x

Put brackets around these 2 terms

P(a)= x(a^2 + 9)

Substitute a + 3 for x

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If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?

Answers

Answer:

B

Step-by-step explanation:

this will include all people and not just a specific group like all in a certain grade/s or all in the same class

Answer: break them up into parts

Step-by-step explanation:

Express 1/3 as a repeating decimal and round to the nearest hundredth.

Answers

Answer:

1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's

Step-by-step explanation:

.3 is in the tenths and .33 is in the hundredths place

Select the correct answer.
The function g(x) = x is transformed to obtain function h:
h(x) = g(x) - 5.
Which statement describes how the graph of h is different from the graph of g?
OA. The graph of h is the graph of g vertically shifted down 5 units.
OB.
The graph of h is the graph of g horizontally shifted right 5 units.
OC. The graph of h is the graph of g horizontally shifted left 5 units.
D. The graph of h is the graph of g vertically shifted up 5 units.

Answers

Answer:

A

Step-by-step explanation:

equation is of the form f(x) - a which implies a translation downwards of a units

The answer is a sorry if I’m wrong btw

Topic 6 Online Assessment

Answers

Answer:

ok but where is the question

Step-by-step explanation:

Can somebody please help me with this ?

Answers

Answer:

8x, 2x^2, 6xy, 5y.

Step-by-step explanation:

Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.

You bought some grapes at a farm stand. You paid $2.48 per pound. The pounds are (3.25). What was the total amount that you paid for the grapes?

Answers

Answer:

You paid $8.06

Step-by-step explanation:

3.25 pounds times $2.48 per pound is 8.06.

Can I have brainliest pls :D

Hope this helps

What’s the correct answer for this?

Answers

Answer:

2 one

Step-by-step explanation:

1
An expression is shown below.
75-33 • 17 - 10
What value is equivalent to this expression?
A 156
B.
48
C 144
D-6

Answers

Hi there I know the answer but it was confusing so it has to be D or B

what is another ratio that is equivalant to 5:3 and 10:6?

Answers

Answer:

5:3 = 10:6

10:6 = 20:12 or 5:3

Solve the equation. x^x=3/4(√6)​

Answers

Answer:

Hi! The answer to your question is [tex]x = 3/2[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

Brainliest is greatly appreciated!

Hope this helps!!

- Brooklynn Deka

What is the surface area of the triangular prism?

Answers

Answer:

The answer is 168!

Step-by-step explanation:

6*4=24 (There are two triangles so you don't have to divide by 2, 24 is simply the answer to both), 6*9=54, 5*9*2=90, 90+54+24=168! I hope this helps! Have a great rest of your day!

Answer:

A≈114.12

Step-by-step explanation:

A=2AB+(a+b+c)h   AB=s(s﹣a)(s﹣b)(s﹣c)

              s=a+b+c/2

                              A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·5+6·5+4·5+1

2·﹣94+2·(9·6)2+2·(9·4)2﹣64+2·(6·4)2﹣44≈114.12459

here is the full explanation , I took a blackboard pavcs math quiz

Victoria has a jewelry box shaped like a rectangular prism! Please help!!

Answers

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

I will give you brainliest answer if u help me with 4 problems

Answers

the horizontal axis should be 5sqrs long and the vertical axis should be 9sqrs long
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