Sarah has only $180 to spend on her birthday party. If she had to pay $100 for the room and each guest cost $6
for food, how many people can she invite without going over her budget?

Answers

Answer 1

Answer:

She can invite 13 people.

Step-by-step explanation:

Because Sarah has to pay $100 for the room, we can subtract.

$180-$100=$80.

Now that she has $80 left, we can see how many times $6 can go into $80.

$6x14=84.

This number is four more than $80, so Sarah can not invite 14 people.

But, if we do $6x13, we get $78.

$78 does not past $80 and is really close, Sarah can invite 13 people.

Final Answer: Sarah can invite 13 people without going over her budget.

I hope this helps and have a wonderful day! ;0

Answer 2

Answer:

13

Step-by-step explanation:

180-100 = 80

80 divided by 6 = 13.333


Related Questions

which inequality is a true statement select each correct answer

Answers

Answer:

A. False

B. True

C. False

D. False

E. True

Hope This Helps!!!

Which sign makes this number sentence true?
|-1011 _-85

A)>
B) <
C) =
D) X

Answers

I feel like it’s B !!!!!!!!!!!!!!!!!!!!

y=
4
5
x+1
y=

3
5
x–6

Answers

Answer:

   

Step-by-step explanation:

Answer:

So, yea i cant get you an exact answer but... i can tell you howto solve it.

Step-by-step explanation:

IN this case you would need to rewrite it so it is on the left side!

Bye friend! :)

you have also wasted your time by going down heere so, YOUR FAULT

-5 5/6 - ( -2 1/3 ) + 5 1/6

Answers

the answer is 1 2/3!

What is the value of the digit in the ten thousands place?
16,985,717
A. 90,000
B. 8,000
C. 10,000,000
D. 80,000

Answers

Answer:

D. 80,000

Step-by-step explanation:

A tip might be to read the number outloud and then the answers to see the similarities.

Hope this is helpful :)


What is the volume of a cube with sides of length 9m?

Answers

Answer:

V = 729 m³

General Formulas and Concepts:

Pre-Algebra

Evaluation

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cube Formula: V = s³

V is volume (in units³)s is a side length

Step-by-step explanation:

Step 1: Define

Identify variables.

s = 9 m

Step 2: Find Volume

Substitute in variables [Volume of a Cube Formula]:                                    V = (9 m)³[Order of Operations] Evaluate:                                                                      V = 729 m³

(13-(4-1)-2)+4 Help I got finals and don't understand

Answers

(13 - (4 - 1) -2) +4
Do the inner parentheses first

(13 - (3) - 2) +4

(13 - 3 - 2) + 4

(8) + 4

12
Hope this helps!
Brainliest is much appreciated!

Answer:

12

Step-by-step explanation:

( 13-3-2) +4

= 8 +4

=12

A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm​

Answers

Answer:

20 cm

Step-by-step explanation:

Use the formula

A=4πr^2

Solving for radius

[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441

We are given –

[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]

A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–

[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]

Just use the formulas for the sphere's area to determine the radius.

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]

Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].

The graph below shows the
relationship between the distance a
car is driven and the number of
gallons of gas used. What is the slope
and what does it represent?

Answers

Answer:

The slope is 30 and it represents the distance the car can travel per gallon of gas used

Step-by-step explanation:

We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30

It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.

Slope = rise/run
Slope = 60 mi/2 gal
Slope = 30 mi/gal

The slope represents the distance a car travels and the gas used.

P = x y . Find P when: x = 8 and y = − 11

Answers

Answer:

P= -88

Step-by-step explanation:

Since P=xy (Or x times y)

We can solve it since we know that x and y is: 8 and -11

So 8 times -11

Which is -88

Thus P= -88

Hope this helps!

P= -8 which is the correct answer

Dez was called to solve a problem on the whiteboard in class. His work is shown below.

0.8 × Four-fifths

8/10 × 4/5 = 32/5

StartFraction 32 over 5 EndFraction = 6Two-fifths

Is the answer shown reasonable?

(A) The answer is reasonable because 0.8 was converted to an equivalent fraction.
(B) The answer is reasonable because it is greater than both factors.
(C) The answer is not reasonable because 4/5 of a number should be less than the number.
(D)The answer is not reasonable because StartFraction 32 over 5 EndFraction does not equal 6Two-fifths.

HELP ME PLZ!!!!!

Answers

Answer:

C. The answer is not reasonable because 4/5 of a number should be less than the number

Step-by-step explanation:

On Edge

The answer to the problem need quick

Answers

Answer:

1 3/4 + 1 5/12 + 2 1/3=5.5

5.5*10.5=57.75

Hope This Helps!!!

Can some help me i don't understand how to do this math!!

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]

? = 2x -x = x

What is the solution to this inequality?


−15x>75



x<−5


x>−5


x≥−5


x≤−5

Answers

Answer:

x < -5 (the first option)

Step-by-step explanation:

I hope this helps!

The solution of the inequality will be;

⇒ x < - 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 15x > 75

Now,

Since, The inequality is,

⇒ - 15x > 75

Hence, The solution of the inequality is,

⇒ - 15x > 75

⇒ - x > 75/15

⇒ - x > 5

⇒ x < - 5

Thus, The solution of the inequality is,

⇒ x < - 5

Learn more about the inequality visit:

https://brainly.com/question/13777972

#SPJ5

4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
one minute?
A. 1 block
30
B. block
7.5
765-30.5775
C. 4 blocks
D.) 5 blocks

Answers

Answer:

He can walk 0.25 blocks in 1 minute

Step-by-step explanation:

If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.

7.5/30 = 0.25

28 degree + x-4 degree+2x=180 degree

Answers

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

What is the height of the box?
A. 15 in.
B. 30 in.
C. 50 in.
D. 100 in.

Answers

The answer is d 100 inches

M.) A typical tip in a restaurant is 15% of the
total bill. If the bill is $125, what would the
typical tip be?

Answers

The tip should be 18.75

(-x + 3) + (4x - 10)

Answers

the correct answer is 3x-7
this is so simple, 3x-7

numbers in order from least to greatest?

35%, 3/5, 0.27, 2/7

Answers

Answer:

0.27, 2/7, 35%, 3/5

Step-by-step explanation:

EJ practice football for a minimum of 6 hours a
week. He practices for 1.5 hours each session. If
EJ has already practiced 3 hours this week, how
many more sessions must he practice to meet or
exceed his goal?

Answers

Answer:

He must practice at least 2 more times

Step-by-step explanation:

someone please help, will give branliest

consider a sequence with the common difference of 5 and whose fiftieth term is 259. what are the first three terms of this sequence?

A- 15,20,25
B- 13,18,23
C- 9,14,19
D- 14-19,24
E- 10,15,20

Answers

The answer is C (9,14,19)

Complete the table for the given rule.

Rule: y=x-1/4

Answers

The answers would be 0,3, and 1 3/4

Can someone help me make sense of the problem. Provide an explanation and answer if at all possible

Answers

Answer:

  1.728×10¹⁵

Step-by-step explanation:

You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).

An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.

  10 = 1 × 10

  100 = 1 × 10 × 10 = 1 × 10²

__

Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).

Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)

The product will be ...

  (5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)

  = 17.28 × 10¹⁴

  = (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left

Adding that extra zero into the count we already have, this becomes ...

  = 1.728×10¹⁵

_____

Additional comment

Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.

Or, you can use a spreadsheet with appropriate output cell formatting.

Answer:

1.728×10¹⁵ is the answer

A line passes through (-3, -2) and is perpendicular to 3x - 2y = 7.

What is theFind the image of A(6, -4) after it is reflected over the line y = - 2, then reflected over the line x = 1.

(-4, -4)
(-4, 0)
(6, 2)
(-4, 6)

Answers

I think is it (-4,6) is the answer

Where do planes PRS and QRST intersect?

Answers

Line RS is where they intersect
I think it’s RS is what intersect :)

I need help correct answers plzz

Answers

Step-by-step explanation:

Pythagoras, Pythagoras, Pythagoras.

c² = a² + b²

for c being the Hypotenuse (the side opposite of the 90 degree angle).

that is something you should really burn into your brain for life. you will need that many times.

1.

89² = 80² + side²

side² = 89² - 80² = 1521

side = sqrt(1521) = 39 ft

2.

D

because here the x value of 2 has to different assigned result (y) values. but for a function it had to be exactly 1 value.

3.

the longer of the 2 given sides must be the Hypotenuse, because otherwise we would get a negative length.

97² - 72² = side² = 4225

sqrt(4225) = side = 65 cm

4.

the distance between 2 point is the Hypotenuse of a right-angled triangle, with its legs being the differences in x and y coordinates.

F = (-1, 6)

G = (3, 4)

FG² = (-1 - 3)² + (6 - 4)² = 16 + 4 = 20

FG = sqrt(20) = 4.472135955... ≈ 4.5

so, A is the right answer.

5.

that creates a right-angled triangle, with the flag pole and the distance on the floor to the flag pole as the legs, and the rope as Hypotenuse.

rope² = 53² + 28² = 3593

rope = sqrt(3593) ≈ 60 ft

6.

A

85² = 36² + 77²

7225 = 1296 + 5929 = 7225

correct. this is a right-angled triangle.

B

101² = 99² + 20²

10201 = 9801 + 400 = 10201

correct. this is a right-angled triangle.

C

123² = 120² + 27²

15129 = 14400 + 729 = 15129

correct. this is a right-angled triangle.

D

42² = 33² + 24²

1764 = 1089 + 576 = 1665

incorrect.

1764 - 567 = 1089 ?

1197 = 1089

also incorrect.

as is 1764 - 1089 = 567 and 1089 - 567 = 1764

so, this is not a right-angled triangle.

7.

the sum of all angles in a triangle (also in general triangles) is always 180 degrees.

since the right angle is already 90 degrees, it leave only 90 degrees for the other 2 angles.

A is the only correct option. 25 + 65 = 90.

8.

BC = 13

AC = 3

AB² = AC² + BC² = 3² + 13² = 9 + 169 = 178

AB = sqrt(178) = 13.34166406... meter

the tree was then originally

3 + 13.34166406... = 16.34166406... meter high

12.1.1

35² = 21² + side²

side² = 35² - 21² = 1225 - 441 = 784

side = sqrt(784) = 28 m

12.1.2

side² = 16² + 30² = 256 + 900 = 1156

side = sqrt(1156) = 34 ft

12.2.3

61² = 60² + 11²

3721 = 3600 + 121 = 3721

correct. this is a right-angled triangle.

12.2.4

40² = 37² + 9²

1600 = 1369 + 81 = 1450

incorrect. this is not a right-angled triangle.

neither is 1600 - 1369 = 81 nor 1600 - 81 = 1369 nor 1368 - 89 = 1600

12.2.5

38² = 35² + 15²

1444 = 1225 + 225 = 1450

incorrect. this is not a right-angled triangle.

neither is 1444-1225=225 nor 1444-225=1225 nor 1225-225 = 1444

12.2.6

53² = 45² + 28²

2809 = 2025 + 784 = 2809

correct. this is a right-angled triangle.

12.3.8

the x and y coordinate differences between A and B are 6 and 3.

AB² = 6² + 3² = 36 + 9 = 45

AB = sqrt(45) = 6.7

12.3.9

the x and y coordinate differences between B and C are 1 and 7.

BC² = 1² + 7² = 1 + 49 = 50

BC = sqrt(50) = 7.1

12.3.10

the x and y coordinate differences between A and C are 5 and 4.

AC² = 5² + 4² = 25 + 16 = 41

AC = sqrt(41) = 6.4

final question : you need that in many distance calculations, side lengths, diagonals, heights,... for rooms, yards, acres, buildings, mountains, ...

help me please ^^ I'm getting my grades to all A's for a honerole

Answers

Answer:

A

Step-by-step explanation:

Philip has $5,774 in a savings account. The interest rate is 13%, compounded annually.

To the nearest cent, how much interest will he earn in 5 years?

(compound interest formula)

Answers

Principal (P) = $ 5774Interest rate (r) = 13 %Number of times the amount is compounded per time period (n) = 1Time (t) = 5 years.Let the compound interest be I.Therefore,

[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 5774(1 + \frac{13}{100} ) ^{1 \times 5} - 5774 \\ \sf= 5774 \times ( \frac{113}{100} ) ^{5} - 5774 \\ \sf= 10638.22 - 5774 \\ \sf = 4864.22[/tex]

Answer:

$4864.22 (approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

If AB∥ED and m∠ABC = m∠DEF. Prove CB|| EF.

Answers

Explanation:

( ) . . . . stuff that is given

∠ABE ≅∠DEG . . . . corresponding angles at a transversal

∠ABC +∠CBE = ∠ABE . . . . angle addition postulate

∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality

∠DEF +∠FEG = ∠DEG . . . . angle addition postulate

∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality

∠FEG = ∠ABE -∠ABC . . . . substitution property of equality

∠CBE = ∠FEG . . . . substitution property of equality

CB║EF . . . . converse of corresponding angles theorem

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