Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80
3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can view both cars. One car can be viewed at an angle of depression of 370, and the other car can be viewed at an angle of depression of 420. How tall is the building?
Answer:
The building is 61.5 m tall
Step-by-step explanation:
The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:
h = height of the building
a, b = internal angles of each triangle
x = base of each triangle
The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:
a = 90° - 37° = 53°
b = 90° - 42° = 48°
Now we apply the tangent ratio on both triangles separately:
[tex]\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 53^\circ=\frac{150-x}{h}[/tex]
[tex]\displaystyle \tan 48^\circ=\frac{x}{h}[/tex]
From the last equation:
[tex]x=h.\tan 48^\circ[/tex]
Substituting into the first equation:
[tex]\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}[/tex]
Operating on the right side:
[tex]\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ[/tex]
Rearranging:
[tex]\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}[/tex]
Solving for h:
[tex]\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}[/tex]
Calculating:
h = 61.5 m
The building is 61.5 m tall
Certain mineral elements required by plants are classed as macronutrients. Macronutrients are measured in terms of their percentage of the dry weight of the plant. Proportions of each element vary in different species and in the same species grown under different conditions. One macronutrient is sulfur. In a study of winter cress, a member of the mustard family, these data, based on three independent random samples, are obtained:
Answer:
The value of μ will be "0.82".
Step-by-step explanation:
The given question is incomplete. Please find attachment of the complete question below.
The given three random samples are 0.8, 0.95 and 0.7.
Now,
⇒ [tex]\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}[/tex]
On substituting the estimated values, we get
⇒ [tex]=\frac{0.8+0.95+0.7}{3}[/tex]
⇒ [tex]=\frac{2.45}{3}[/tex]
⇒ [tex]=0.82[/tex]
It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.
? QUESTION
Laura is saving money to buy a bike that costs $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money
to buy the bike?
Answer:
13
Step-by-step explanation:
125 - 60= 65
65/5= 13
itll take her 13 weeks
Which graph best represents the equation y= 2/5x + 3
Answer:
I it is the one on the bottom.
Step-by-step explanation:
A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.
Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate
Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.
Thus total calories from given diet is = 4×4+4×3+9×3
=16+12+27
=56
Hence, Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
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Place each pair of angles in the correct column.
Answer:
congruent: 1 & 8,
congruent & corresponding: , 4&8
supplementary: 2&5, 3&5, 3&4
i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped
help pls my math teacher is rude
Answer:
2.25 or 2 1/4 pounds
Step-by-step explanation:
if you add them all up (I converted them to decimals when adding) you get 13.5 or 13 1/2 if your using fractions, then you divide that by 6 because thats how many jars there are and you get 2.25 or 2 1/4
Which of the following slopes of a line passes through points (2, 3) and (4,7) ?
5
2
3
O
Answer:
2
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (7 - 3)/(4 - 2)
slope = 4/2 = 2
Answer: 2
Molly shared a spool of ribbon with 12 people. Each person received 3 feet of ribbon. Which equation can she use to find
r, the number of feet of ribbon that her spool originally had?
Answer: R/12=3
Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /
Answer:D
Step-by-step explanation:
I GIVE BRANLILSET
Maddie prepared 24 kilograms of dough after working 6 hours. How many hours did Maddie work if she prepared 40 kilograms of dough? Assume the relationship is directly proportional.
Answer:
10 hours
Step-by-step explanation:
24kg dough/6 hours = 4kg dough/hour
4kg dough / 1 hour
*10 *10 (multiply both sides by 10)
---------------------------
40kg dough/10hrs
A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. adults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.
Answer:
0.477%
6.55%
5.05%
Event in question (a)
Step-by-step explanation:
Given that:
p = 0.67 ; n = 80
Using Normal approximation :
Mean (m) = np = 80 * 0.67 = 53.6
Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057
probability that the number who oppose raising the age is
(a) at least 65
65 - 0.5 = 64.5 = x
Z = (x - m) / s
Z = (64.5 - 53.6) / 4.2057 = 2.592
P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)
(b) exactly 50
x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5
Z = (50.5 - 53.6) / 4.2057 = - 0.737
Z = (49.5 - 53.6) / 4.2057 = - 0.974
P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)
0.23056 - 0.16503 = 0.06553
(c) more than 60, and (d) identify any unusual events
x = 60 + 0.5 = 60.5
Z = (60.5 - 53.6) / 4.2057 = 1.64
P(Z > 1.64) = 0.0505
D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%
I really need help with this
"Simplify this equation."
Answer:
2nd one
Step-by-step explanation:
Solve this simultaneous e
x + y = 26
3x + y = 56
Answer:
x= 15 and y= 11
Step-by-step explanation:
The goal here is to solve
x + y =26 and
3x + y =56 for the variables x and y.
First, let's work on your first equation, x + y =26
After this initial survey of the equations, the system of equations we'll set out to solve is:
x+y = 26 and 3x+y = 56
Let's start by solving x+y = 26 for the variable x.
Move the y to the right hand side by subtracting y from both sides, like this:
From the left hand side:
y - y = 0
The answer is x
From the right hand side:
The answer is 26-y
Now, the equation reads:
x = 26-y
To isolate the x, we have to divide both sides of the equation by the other variables
around the x on the left side of the equation.
and this is the final solution to your equation.
Next, let's solve 3x+y = 56 for the variable y.
Move the 3x to the right hand side by subtracting 3x from both sides, like this:
From the left hand side:
3x - 3x = 0
The answer is y
From the right hand side:
The answer is 56-3x
Now, the equation reads:
y = 56-3x
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
and this is the final solution to your equation.
Now, plug the earlier result, x=26-y, in for x everywhere it occurs in
y=56-3x.
This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.
26-y evaluates to 26-y
Multiply 3 by 26-y
we multiply 3 by each term in 26-y term by term.
This is the distributive property of multiplication.
Multiply 3 and 26
1
3 × 26 = 78
Multiply 3 and -y
Multiply 1 and y
The y just gets copied along.
y
3 × -y = -3y
3*(26-y) evaluates to 78-3y
56 - 78 = -22
The answer is -22+3y
56-3*(26-y) evaluates to -22+3y
Move the 3y to the left hand side by subtracting 3y from both sides, like this:
From the left hand side:
y - 3y = -2y
The answer is -2y
From the right hand side:
3y - 3y = 0
The answer is -22
Now, the equation reads:
-2y = -22
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
The last step is to divide both sides of the equation by -2 like this:
To divide y by 1
The y just gets copied along in the numerator.
The answer is y
-2y ÷ -2 = y
-22 ÷ -2 = 11
The solution to your equation is:
y = 11
Lastly, to find the solution for x, we plug this answer for y into the earlier result that
x=26-y.
This gives x=26-(11). Now, simplify this.
26-(11) evaluates to 15
x= 15
So, the solutions to your equations are:
x= 15 and y= 11
Answer:
(15, 11 )
Step-by-step explanation:
Given the 2 equations
x + y = 26 → (1)
3x + y = 56 → (2)
Subtract (1) from (2) term by term to eliminate y, that is
2x = 30 ( divide both sides by 2 )
x = 15
Substitute x = 15 into either of the 2 equations and solve for y
Substituting into (1)
15 + y = 26 ( subtract 15 from both sides )
y = 11
solution is (15, 11 )
I need this done quick pls.
Answer:
58º
Step-by-step explanation:
The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.
help me pls ill mark brainly
Answer:
First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.
Second step: I think it would be 0.08 x 25.
Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.
Fourth step: Friendly percent is 10%. It is always even.
Hope this helps!
can u pls help me with this question
and the equations to choose from are
y=k+x
y=k
y=kx
y=kx
Step-by-step explanation:
That's the formula for direct variation relationships!
The other two answers are nonsense and don't mean anything.
(Will mark brainlest Help please)out of 800 students at icenhower intermediate 208 live inside the city of mansfield
Answer:
Doesn't this mean that 592 students live outside the city of mansfield?
Step-by-step explanation:
800 - 208
Find the value of the variable.
Which of the following situations results in a sum of 1 1/2 ? Select all that apply .
1. I painted 5/8 of one room and 7/8 of another .
2. I gained 6 1/2 pounds and my wife lost 8 pounds .
3. I had 4 1/4 bottles of juice and drank 1 3/4 of them .
4. I cut 3 1/3 inches from my grass. The grass grew 1 5/6 inches over the next week .
5.I used up 1/4 of a pound of coffee and bought 1 1/4 of a Pound of coffee from the store .
6. I used 3/4 of a pound of ground beef to make burgers and purchased 2 1/4 of a pound of ground beef .
Answers ASAP!!!!
Answer:
A, E, And D
Step-by-step explanation:
i did the quiz :)
Barney has a swimming pool in his backyard. Calculate the volume of the swimming pool. Round your answer to the nearest whole number.
cubic feet
Answer: 1593 us gallons
Step-by-step explanation: HOPE THIS HELPS!!
3. Which set is an example of like fractions?
O A.2/and 2/3
O B.7/4 and 4/7
c. 1/2 and 3/2
D. 10/10 and
O D.
(10 and 5/5
Answer: C
Step-by-step explanation: The group of two or more fractions that have exactly the same denominator are called like fractions. ... For example, 1/7, 2/7, 5/7, 6/7 are all like fractions, whose denominators equal to 7.
A decking company estimates how many gallons of stain each deck requires before starting construction. Apart from knowing the total area of each deck, which additional quantity will allow the decking company to make an accurate estimation
Answer:
Concept: Engineering Statistics
To make accurate estimations they need the total volume of the area.Hence they need the area coverage by the selected stain.Solution: Are covered by each gallon of stain This provides an accurate representation to a significant figure.-2 (x + 4) – (3x – 8)
What it equals
Answer:
-2x+-8-3x-8
Step-by-step explanation:
-2 times x =-2x
-2 times 4=-8
Answer:
x
Step-by-step explanation:
-2 (x + 4) – (3x – 8)
-2x-8-3x+8
x+0
x
A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
In 7 minutes machine can fill 1 box.
Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.
What is the constant rate?A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function. The constant rate of change is also known as the slope. Linear functions will have a constant rate of change.
Now, in 35 minutes machine has filled 5 boxes.
So, 1 box is filled in 35/5=7 minutes.
Therefore, in 7 minutes machine can fill 1 box.
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Please help me!!! I’ll mark Brainlyest!
Answer:
12/6 2 is the best answer
Write a function formula for g using the function f.
g(x)=
Write a function formula for f using the function g.
f(x)=
Answer:
g(x) = -f(x+3)
f(x) = -g(x-3)
Step-by-step explanation:
Transformations
Function f can be obtained by knowing function g and vice-versa.
Suppose we know the expression of function f. If we reflect f across the x-axis, we get function g but displaced 3 units to the right.
Thus, we only have to translate the reflected f 3 units to the left:
g(x) = -f(x+3)
Similarly, if g(x) is reflected across the x-axis and translated by 3 units to the right, we get f(x), thus:
f(x) = -g(x-3)
Sharon uses 1 1/2 cups of sugar to make 2 batches of cookies. How much sugar will she use to make 6 batches of Cooke’s?
Answer:
8 Batches
Step-by-step explanation:
Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.
The volume of a rectangular prism is represented by the function x
representing the width of the box.
Ox- 4
OX-1
Ox+1
Ox+4
Answer:
x = 4
Step-by-step explanation:
Hope this helps! Consider Brainiest! <3
show the steps on how to use the distributive property to evalute 9·67
Answer:
6.oz I will ply to get a
Step-by-step explanation:
ok is the only
Answer:
Step-by-step explanation:
9(67)=9(70-3)=
Which statement is true? 7.11≤−7.1 7.11>−7.1 7.11<−7.1 7.11=−7.1
Answer:
7.11 > -7.1
Step-by-step explanation: