A group of friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves

Answers

Answer 1

Complete question:

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.

Answer:

The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill

The solution x=60 represents the total food bill

Step-by-step explanation:

Given the following :

Total amount spent = $76

Amount paid as tip = $16

Number of friends = 8

Total Cost of lunch consists of:

Actual Cost of food + amount of tip

Let actual cost of food = x

Total cost of lunch is thus :

x + $16 = $76

If the friends are to each the bill equally:

Then:

Divide both sides by 8:

(1/8)* (x + 16) = 76/8

Therefore,

(x + 16) / 8 = 76/8

x + 16 = 76 / 8

(x + 16)/8 = 9.5

x + 16 = 9.5 * 8

x + 16 = 76

x = 76 - 16

x = 60

Answer 2

Answer:

A

and

C

Step-by-step explanation:


Related Questions

how many are 5 raised to 4 ???​

Answers

Answer:

625

Step-by-step explanation:

5⁴ = 5x5x5x5 = 625

If the geometric mean of a and 120 is 60, find the value of a.

Answers

Answer:

The answer is option 4.

Step-by-step explanation:

Given that the mean formula is total score/number of score. So we can assume that total score is (a+120), number of score is 2 and the mean value is 60. Then you have to find the value of a :

[tex] \frac{a + 120}{2} = 60[/tex]

[tex]a + 120 = 60 \times 2[/tex]

[tex]a + 120 = 120[/tex]

[tex]a = 120 - 120[/tex]

[tex]a = 0[/tex]

[tex] \text{ Geometric mean of two numbers } a \text{ and } b , \text{ where } a,b>0 \text{ is given by } G= \sqrt{ab}[/tex]

[tex] \sqrt{a\cdot120}=60 [/tex]

[tex] \implies 60 \cdot 2 \cdot a=60\cdot 60 \qquad \text{Squaring both sides} [/tex]

[tex] \implies a =30 [/tex]

The data give the average number of days in May that are clear

I really need help

Answers

Answer:

C. 0.10, because 6 of the 60 days were clear

Step-by-step explanation:

As per the question, you're in San Antonio which indicates 1st look in San Antonio's row.

Then we want the chance or probability it's clear, so look in clear column. We will find the value that is "6"

So 6 on a total of 60 which is the huge total. Accordingly,  Probability it is right, since that you are into the San Antonio. Then it becomes

[tex]= \frac{6}{60}[/tex]

= 0.1

Therefore the right answer is C.

The circle shown below is a unit circle, where ∠a=π/3 and the radius of the circle is 1.

Answers

Answer:

Step-by-step explanation:

If 3sinA+4cosA=5 then find the value of cosA

Answers

Answer:

cos(A) = 4/5

Step-by-step explanation:

3sinA+4cosA=5

Divide by 5 on both sides

(3/5)sinA+(4/5)cosA = 1 .................(1)

from which sin(A) = 3/5, cos(A) = 4/5  by inspection, since

(3/5)^2+(4/5)^2 = 1

For more details,

Let

cos(B) = (3/5), then

sin(B) = (4/5)

Substitute in (1)

cos(B)sin(A) + sin(B)cos(A) = 1          substitute trigonometric sum

sin(A+B) = 1  => A & B are complementary

cos(A) = sin(B) = 4/5

A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?

PLEASE HELP I AM IN A RUSH!!!​

Answers

Answer:

6,5

Step-by-step explanation:

Answer:

(6,0),(-2,8),(-2,0)

Please help for 14 point 5 stars and 1 thanks! :]

Answers

Answer:

x=22000 ( bonds)

Step-by-step explanation:

total money invested=26000 , x for bonds and y stocks

x+y=26000 ⇒ x=26000-y

0.05 x + 0.08 y=1420  solve by substitute : x=26000-y

0.05(26000-y)+0.08 y =1420

1300-0.05y+0.08y=1420

0.03y=1420-1300

y=120/0.03

y= 4000 ( the amount invested in stocks)

the amount invested in bonds x= 26000-4000

x=22000 ( bonds)

check :

0.05(22000)+0.08(4000)= 1420 correct

PLS HELP I WILL GIVE YOU A BRAINLIST AND A THANK YOU!!!!

Answers

Answer:

75

Step-by-step explanation:

We have a 90 degree angle and a 15 degree angle that add up to 105. The angle that is missing can be found by doing 180 - 105 = 75 (since it's a straight line). X is vertical from the 75 degree angle, so 75 is your answer.

Answer:

x= 75°

Step-by-step explanation:

i have added a sketch of it

20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8

Answers

Answer:

(D) There are [tex]5 \frac{1}{2}[/tex]  three-fourths in [tex]4 \frac{1}{8}[/tex]

Step-by-step explanation:

We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into  [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is  [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.

So this becomes the division statement:

[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].

We can convert  [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.

[tex]\frac{33}{8} \div \frac{3}{4}[/tex].

Multiply by the reciprocal:

[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]

Which simplifies down to

[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.

Hope this helped!

Answer:

D

Step-by-step explanation:

please simplify this question

Answers

Answer:

8 107/120 (Decimal: 8.891667)

Step-by-step explanation:

12  1 /2 −5  13 /72 +1  3 /5 − 1 /36

= 25 /2 −5  13 /72 +1  3 /5 − 1 /36

= 25 /2 − 373 /72 +1  3 /5 − 1 /36

= 527 /72 +1  3 /5 − 1 /36

= 527 /72 + 8/ 5 − 1 /36

= 3211 /360 − 1 /36

= 1067 /120

=8  107 /120

HOPE THIS HELPS!!!!!! :)

<3333333333

A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line? A y= 1/2x + 3/2 B y= 1/2x -3/2 C y= 1/2x -1/2 D y= -1/2x -3/2

Answers

Answer:

[tex](B.) y= 1/2x -3/2[/tex]

Step-by-step explanation:

[tex](-3, -3) = (x_1,y_1)\\m = 1/2\\\\y-y_1=m(x-x_1)\\\\y -(-3)=\frac{1}{2} (x -(-3)\\\\y+3 = \frac{1}{2}(x+3)\\\\ y+3 = \frac{1}{2} x+\frac{3}{2}\\\\ y = \frac{1}{2} x +\frac{3}{2} -3\\\\y = \frac{1}{2} x - \frac{3}{2}[/tex]

Answer:

[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]

Step-by-step explanation:

y = mx + b

(slope intercept form of a line)

m = slope

b = y-intercept

y = 1/2x + b

Only three options have a slope of 1/2.

y= 1/2x + 3/2

y= 1/2x - 3/2

y= 1/2x - 1/2

The line crosses the point (-3, -3), x = -3 and y = -3.

-3= 1/2(-3) + 3/2

-3= -3/2 + 3/2

-3 = 0

This is false.

-3= 1/2(-3) - 3/2

-3 = -3/2 - 3/2

-3 = -6/2

-3 = -3

This is true.

-3= 1/2(-3) - 1/2

-3 = -3/2 - 1/2

-3 = -2

This is false.

Please answer this question now

Answers

Answer:

98.1km²

Step-by-step explanation:

The name of the Triangle in this question is: WXV

In the question, we have:

Angle W = ? Unknown

Angle X = 119°

Angle V = 34°

Side w =?

Side x = 26km

Side v = ?

Step 1

We have to find the missing third angle = Angle W

Sum of angles in a triangle = 180°

= Angle W = 180° - (119 + 34)°

= 180° - 153°

Angle W = 27°

Step 2

Find the sides w and v using the sine rule

Sine rule =

a/ sin A = b/ Sin B

Hence for triangle WXV

w/ sin W = x/ sin X = v/ sin V

We have the following values

Angle W = 27°

Angle X = 119°

Angle V = 34°

We are given side x = 26km

a) Finding side w

w/ sin W= x/ sin X

w/sin 27 = 26/sin 119

Cross Multiply

sin 27 × 26 = w × sin 119

w = sin 27 × 26/sin 119

w = 13.49587km

w = 13.5km

b) Finding side v

x / sin X= v/ sin V

26/ sin 119 = v/sin 34

Cross Multiply

sin 119 × v = 26 × sin 34

v = sin 34 × 26/sin 119

v = 16.62324km

v = 16.62km

Step 3

Detemine the area of triangle WXV

We make use heron formula

= √s(s - w) (s - x) (s - v)

Where s = w + x + v/ 2

s = (13.5 + 26 + 16.62)/2

s = 56.12/2

s = 28.06

Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)

Area of the triangle = √9628.137559

Area of the triangle = 98.123073530337km²

Approximately to the nearest tenth =98.1km²

9e - 7 = 7e – 11
Please help!?,!;):)

Answers

Answer:

e=-2

Step-by-step explanation:

9e-7e=-11+7

2e=-4

e=-2

PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!! :)

Answers

Answer:

A

Step-by-step explanation:

Both angles together are supplementary, or they add up to 180 degrees.

(3x+12)+x=180 degrees

Answer:A. (3x+12)+x=180

Step-by-step explanation:

find the exterior angle of a triangle whose interior opposite angles are 43 degree and 27 degree

Answers

Answer:

[tex]\huge\boxed{Exterior\ angle = 70\°}[/tex]

Step-by-step explanation:

The measure of exterior angle is equal to the sum of opposite interior angles.

So,

Exterior angle = 43+27

Exterior angle = 70°

Divisibility by 10 of number 7236

Answers

7236 is NOT divisible by 10

Step-by-step explanation:

any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10

ANSWER QUICKLY PLZZZZZZ ​

Answers

Answer:

A= 17 B= 19

Step-by-step explanation:

Answer:

a) 17 cups water

b) 19 cups rice

Step-by-step explanation:

w = 1.5r + 0.5

For 11 cups of rice, r = 11.

w = 1.5(11) + 0.5

w = 16.5 + 0.5

w = 17

For 11 cups of rice, 17 cups of water are needed.

With 29 cups of water, w = 29.

29 = 1.5r + 0.5

28.5 = 1.5r

r = 19

With 29 cups of water, 19 cups of rice can be cooked.

Jorge’s monthly bill from his Internet service provider was $25. The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used. Find the number of hours that Jorge was charged for that month.

Answers

Answer:

10 hours for the month

Step-by-step explanation:

What you know: The total amount Jorge was charged for the month was $25

The base rate is $15

He gets charged $1 per each hour

Setting it up:

15+1h=25

(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)

Subtract 15 from both sides of the equation to get your variable by itself

1h=10

then divide the 1 on both sides to get h (hours) by itself

h=10

And there's your answer, 10 is the number of hours that Jorge was charged for the month

Hopefully this helped :))

Answer:

10

Step-by-step explanation:

$25 - $15 = $10

and its $1 per hour so the answer is 10hrs

MATT plans to put concrete on a regular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete that needs is $58.07.

Answers

THIS IS THE COMPLETE QUESTION BELOW;

Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet

Answer:

OPTION D is correct

d)6feet

Step by step Explanation:

We were given The price of concrete as $98 per cubic yard

Price= $98 /yrd³

But 1 foot = 12 inches

1 yard = 3 feet

Square both side we have,

Then 1yrd³ = 27 ft³.

So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows

$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³

If we denote the width of the portion as "y"

then the volume of the rectangular portion of the driveway =

= (8 ft) (1/3 ft) x = 8y/3 ft³

But we're given The total cost of the concrete Matt needs as $58.07,

Total cost = $58.07 = (8y/3)(98/27)

y= 5.99957 ft= 6feet

Therefore, the width of the portion of the driveway is 6feet

What is the y-intercept of the line passing through the point (9,-7) with a slope of -1/8 ?

Answers

Answer:

-47/8.

Step-by-step explanation:

If the line has a slope of -1/8, that means the equation y = mx + b will be y = -1/8x + b.

In this case, we are given a point: (9, -7). That means that x = 9 and y = -7.

-7 = (-1/8)(9) + b

b - 9/8 = -7

b = -56/8 + 9/8

b = -47/8 = -5.875 = -5 and 7/8, which is your y-intercept!

Hope this helps!

Let P be a non zero polynomial such that P(1+x)=P(1−x) for all real x, and P(1)=0. Let m be the largest integer such that (x−1) m divides P(x) for all such P(x). Then m equals

Answers

Answer:

m = 0, P(3)/2, P(4)/6, P(5)/12 ..........

Step-by-step explanation:

For non zero polynomial, that is all real x as follows:

x = 1, 2, 3, 4 ............

Using, P(1 + x) = P(1 - x)

For x = 1: P(2) = P(0) = 1

For x = 2: P(3) = P(-1) = 2

Hence, P(x)/m(x - 1) can be solved as follows:

When = 1

P(2)/0 = 1

∴ m = 0

When x = 2

P(3)/m = 2

∴ m = P(3)/2

When x = 3

P(4)/2m = 3

∴ m = P(4)/6

When x = 4

P(5)/3m =  4

∴ m = P(5)/12

Hence, m = 0, P(3)/2, P(4)/6, P(5)/12......

Move ABC so it lies on top of , DEF, GHI and JKL. How many units do you have to move ABC from its original location to coincide with each of the other triangles? Specify how ABC moves up, down, left, or right.

Answers

Answer: triangleDEF - 3 units down

triangleGHI - 5 units left

triangleJKL - 4 units left and 5 units down

Step-by-step explanation:

Can somebody please help me on tjis

Answers

Answer:

Segment addition postulate

Step-by-step explanation:

It’s the Segment addition postulate.

ab+bc=ac

Segment addition postulate
Ab +bc=ac

Hope it helps ❄️

) Martha went to the store with $75.00. She bought 3 pairs of socks for $4.00 each, she bought 2 shirts for $20.00 each, and she bought a skirt for $21.00. How much money did she have left?

Answers

She would have $2 left.

Answer:

She had $2.00 left.

Step-by-step explanation:

PEMDAS

$75 - [(3 x $4) + (2 x $20) + $21 ]

$75 - [ $12 + $40 + $21]

$75 - [ $52 + $21]

$75 - $73

$2

6 to the third power divided by 4+2 x 9(32x8-17x4)

Answers

Answer:

3438.

Step-by-step explanation:

6³ ÷ 4 + 2 × 9 (32 × 8 - 17 × 4)

= 6³ ÷ 4 + 2 × 9 (256 - 68)

= 6³ ÷ 4 + 2 × 9 × 188

= 216 ÷ 4 + 2 × 9 × 188

= 54 + 2 × 9 × 188

= 54 + 3384

= 3438

3438 is the answer.

HE SODA MACHINE
The soda machine at your school offers several types of soda. There are two buttons for your favorite drink, Blast,
while the other drinks (Slurp, Lemon Twister, and Diet Slurp) each have one button.
Describe the input and output of this soda machine.
While buying a soda, Ms. Whitney pushed the button for Lemon Twister and got a can of Lemon Twister.
Later she went back to the same machine, again pushing the Lemon Twister button, but this time she got a can
of Blast. Is the machine functioning consistently? Why or why not?
BLAST
BLAST
BLUSO
ooo
Students, write your resnonsel

Answers

Answer:

yes and no

Step-by-step explanation:

if a machine is work a lot lot LOT, then it might be jamed

or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly

( also i am not a student of yours )

1.5(a -4) - 2 = 4 pls help ASAP and show checked answer

Answers

Answer:

4

Step-by-step explanation:

Solving:

1.5(a -4) - 2 = 4 1.5a - 6 -2 = 41.5a - 8 = 41.5a = 4 + 81.5a = 12a = 12/1.5a = 8

Checking:

1.5(8-4) - 2 = 41.5*4 - 2 = 46 - 2 = 44 = 4
Solution :
5a -20 - 2 = 4
5a - 22 = 4
5a = 4 + 22
5a = 26
a = 26/5
a = 5.2
Check :
5(5.2 - 4 ) - 2 = 4
26 - 20 - 2 = 4
6 - 2 = 4
4 = 4
EQUATION PROVEN ✅

What is the solution to the equation? Show your work and explain your answer. 4(x+2)−1=4x+7

Answers

Answer:

infinitely many solutions / all real numbers

Step-by-step explanation:

distribute the 4 on the left side of the equation

4 • x = 4x

4 • 2 = 8

4x + 8 - 1 = 4x + 7

combine like terms

4x + 7 = 4x + 7

0 = 0

since this expression is true, there are infinitely many solutions

4x+8-1=4x+7
x=x


There are infinitely many solutions. Any number works.

Given: Quadrilateral DEFG is inscribed in circle P. Prove: m∠G+m∠E=180∘

Answers

Answer:

The answer is below

Step-by-step explanation:

Let lines be drawn from D to F (line DF) and from F to G (line FG) as shown in the diagram attached.

∠FDE = ∠FGE (angles in the same segment).

Also, ∠EFD = ∠EGD (angles in the same segment)

∠FDE + ∠EFD = ∠FGE + ∠EGD = ∠FGD

Adding ∠FED on both sides gives:

∠FDE + ∠EFD + ∠FED = ∠FGD + ∠FED

But ∠FDE + ∠EFD + ∠FED = 180° (sum of angles in a triangle)

Therefore ∠FGD + ∠FED = 180°

m∠G + m∠E = 180° (sum of opposite angles in a cyclic quadrilateral is 180°)

Please solve (will make brainiest)

Answers

Answer:

1a) 1/64

1b) 1/169

1c) 1/9

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

Question A,

[tex] {4}^{ - 3} = \frac{1}{ {4}^{3} } = \frac{1}{64} [/tex]

Question B,

[tex] {13}^{ - 2} = \frac{1}{ {13}^{2} } = \frac{1}{169} [/tex]

Question C,

[tex] {( - 3)}^{ - 2} = {( - \frac{1}{3}) }^{2} = \frac{1}{9} [/tex]

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