A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split the bill and tip evenly among themselves.
One of the friends used the equation One-fourth (t + 34) = StartFraction 40 over 4 EndFraction to represent the situation, where t represents the total amount of the tip. Which describes the amount each friend paid for the food and for the tip?
Each friend paid $8.50 for the food and $1.50 for the tip.
Each friend paid $10.00 for the food and $6.00 for the tip.
Each friend paid $8.50 for the food and $6.00 for the tip.
Each friend paid $10.00 for the food and $1.50 for the tip.

Answer:

2,000 is the value of the digit 2 in the thousands place

Answer:

1/5                                5

Step-by-step explanation:

Answer: The scale factor for the reduction is 1/5. B= 5 feet

Step-by-step explanation:

The scale factor for the reduction is 1/5.

The length of A=20 (1/5)= 4 feet

What is the length of B?

B= 5 feet

Answer:

the answer is 4(5c-2d)

Answer:

20c-8d

Step-by-step explanation:

As long as you weren't any values for c or d, this expression cannot be simplified any further.

HTH :)

Answer:

Step-by-step explanation:

Given the equation

[tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]

putting y=15

[tex]\frac{1}{5}x-\frac{2}{3}\left(15\right)=30[/tex]

[tex]\frac{1}{5}x-10=30[/tex]

add 10 to both sides

[tex]\frac{1}{5}x-10+10=30+10[/tex]

[tex]\frac{1}{5}x=40[/tex]

[tex]x=200[/tex]

Therefore, the value of x:

Answer:  An estimate done quickly: The circumference is about 75 ft.

Step-by-step explanation:

Round π to 3, and 24 to 25.  3 times 25 is 75

A more exact value would be 75.36

3.14 × 24 = 75.36

Answer:

3 seconds

Step-by-step explanation:

Answer:

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5) = 0.0768

Step-by-step explanation:

Step(i):-

Mean of the Population (μ) = 2500 gallons

Standard deviation of the population (σ) =200 gallons

Let 'X' be a random variable in Normal distribution

Given X = 2800

[tex]Z = \frac{x-mean}{S.D} = \frac{2800-2500}{200} = 1.5[/tex]

Step(ii):-

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5)

                  = 0.5 - A(Z₁)

                 =  0.5 - A(1.5)

                 =   0.5 -0.4232    ( from normal table)

                = 0.0768

Conclusion:-

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5) = 0.0768

Complete question is;

The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour.

a. Within what range should 95 percent of the bushing diameters fall?

b. Within what range should 95 percent of the sample means fall?

c. What conclusion would you reach if you saw a sample mean of 4.020?

Answer:

A) (4.0252, 4.0448).

B) (4.0331, 4.0369).

C) If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035

Step-by-step explanation:

A) We know that an approximate 95% confidence interval for the item in question has a range of diameter given by the equation;

Range = x¯ ± 1.96σ

Now, since we have a mean of 4.035 mm and a standard deviation of 0.005 mm, we can solve;

Range of bushing diameter = 4.035 ± (1.96 × 0.005) = 4.035 ± (0.0098)

= 4.0252 or 4.0448 and it can be written as;(4.0252, 4.0448).

B) We also know that In the large-sample case, a 95% confidence interval estimate for the population mean is given by the formula;

CI = x¯ ± (1.96s/√n))

Thus, if we solve, we get;

CI = 4.035 ± (1.96 × 0.005 )/√25

CI = 4.035 ± 0.0019

or (4.0331, 4.0369).

c. If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035 because it doesn't fall into the range of confidence intervals we got earlier.

Answer:

Step-by-step explanation:

Answer:

y=80 I'm pretty sure lmk if it's wrong

Answer:

40

Step-by-step explanation:

edgunity

Answer:

not multiplying 3 by 5 it should be 15 over 10 and not 3 over 30

Step-by-step explanation:

Answer:

-2.5

Step-by-step explanation:

Your want to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by

1/4 by multiplying by the reciprocal, 4. (− 5

8)(4) is − 5/2. Use substitution to check the answer. x = − 5/2 :)

Answer: First, you isolate x by dividing 1/4 on both sides.  

1/4x divided by 1/4 equals zero, which just leaves x, and -5/8 divided by 1/4 equals -5/2, so x = -5/2. -5/2 can be simplified to -2.5,  

To check the answer, substitute x for -5/2:

* 1/4 multiplied by -5/2 equals -5/8

* 5/8 = 5/8, so this proves that my answer is correct.

Answer:

Step-by-step explanation:

-3

perpendicular slope is the negative of the reciprocal

the reciprocal of 1/3 is 3

the opposite of 3 = -3

Answer:

13/12

Step-by-step explanation:

2(5/3+3/4)_4/3

2(20+9/12)_4/3

2(29/12)_4/3

58/24_4/3

58_32/24

26/24

13/12

Answer:

Step-by-step explanation:

Factor your equations using the fact that x²-Sx+P represents the general equation where S is the sum of roots and P the product of roots.

What roots will have the sum  S=4 and product P= -45 ,

will have 5 and -9, S=5-9=-4✅ and P=5*(-9)=-45✅

x²-4x-45 = (x-root1) (x-root2) = (x+5)(x-9)

S=-7 and P=10 , so the roots are -5 and -2

x²+7x+10= (x+5)(x+2)

I am not sure what is your question yet you frobably need to factor the 2 given equation so you will have a bookshelf of (x+5)(x-9) by (x+5)(x+2)

Answer:

Second, first, fourth, third.

Step-by-step explanation:

Second, first, fourth, third

Answer:

from least to greatest:

sea grass, red algae, green seaweed, mangrove.

mangrove is the shallowest depth

sea grass is the deepest

if the question is asking which is the deepest, then the answer is sea grass.

if the question is asking which number has the greatest value, the answer is mangrove.

if the question is asking which number has the greatest absolute value, then the answer is sea grass.

my guess is to start with mangrove. so put the values in as mangrove, green seaweed, red algae, sea grass.

if this is not correct, which it should be, put in these values as the opposite order. This is based on how you interpret the question.

Answer:

88

Step-by-step explanation:

Answer:

Step-by-step explanation:

QR = 27 ÷ 2 = 13.5

Answer:

hope this helps 3,160 tons of water flows over Niagara Falls every second. This accounts for 75,750 gallons of water per second over the American and Bridal Veil Falls and 681,750 gallons per second over the Horseshoe Falls.

Step-by-step explanation:

brainlist would help thx

Answer:

they have to pay for school supplies

Step-by-step explanation:

Answer:

Following are the solution to the given point:

Step-by-step explanation:

In point a:

[tex]\to 2ty'=8y\to \frac{1}{y} dy = 4 \frac{1}{t} dt\\\\\to \int \frac{1}{y} dy = 4 \int \frac{1}{t} dt \\\\\to \log y = 4 \log t + \log C\\\\\to \log y = \log ct^4\\\\\to y=ct^4 \\\\\to y(-2)=16 \\\\\to 16= c(-2)^4\\\\\to 16= 16c\\\\\to c= \frac{16}{16}\\\\\to c=1\\\\\to r=4[/tex]

In point b:

[tex]\to 2ty' = 8y \\\\\to y'- \frac{4}{t} y=0 \\\\here \ p(t) = \frac{1}{t}[/tex] it's a discontinuous point at t=0, and the largest internal containing -2 since [tex]y=(-2) = 16 \ is\ (-\infty, 0)[/tex]

In point c:

[tex](-\infty,0 ) \cup (0, \infty)[/tex]

Answer:

-5.1,  -14/3,  -4

Step-by-step explanation:

Answer:

Step-by-step explanation -14 ,-15.1 -14/3

Answer:

63

Step-by-step explanation:

36 is approximately 30% of 124 and 42 is approximately 33% of 124, so 30 + 33 = 63

Answer:

Answer, B

Step-by-step explanation:

add the odes and sonnets, and find the percentage of 78/124 which is 62.9% rounded to 63%.

Answer:

-3c+12d

Step-by-step explanation:

Answer:

7 pieces

Step-by-step explanation:

change 4 5/6 into an irregular fraction. 29/6

divide 29/6 by 2/3. to do this, flip and multiply

29/6 * 3/2 = 87/12 = 7.25 or 7 whole pieces

Answer:

[tex]m\angle 3=30^\circ,~m\angle 8=150^\circ[/tex]

Step-by-step explanation:

Angles and Lines

We must recall some properties of angles and lines:

Linear pair of angles: Two angles are linear if they are adjacent angles formed by two intersecting lines. They must add up to 180°.

Corresponding angles: They are angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent, i.e., they have the same measure.

The figure shows two parallel lines a and b, crossed by the line m. These conditions make the following relations be true:

Angles 3 and 4 are linear pair

Angles 8 and 4 are corresponding.

The first relation leads to:

[tex]m\angle 3+m\angle 4 = 180^\circ[/tex]

The second relation leads to:

[tex]m\angle 4 = m\angle 8[/tex]

Since:

[tex]m\angle 3=x[/tex]

[tex]m\angle 8=5x[/tex]

Substituting:

[tex]x + 5x = 180^\circ[/tex]

Simplifying:

[tex]6x = 180^\circ[/tex]

Solving for x:

[tex]x = 180^\circ/6[/tex]

[tex]x = 30^\circ[/tex]

Now,

[tex]m\angle 3=x=30^\circ[/tex]

[tex]m\angle 8=5x=150^\circ[/tex]

[tex]m\angle 3=30^\circ,~m\angle 8=150^\circ[/tex]

Answer:

40m ph

Step-by-step explanation:

i think i em right but not sure hope it right