Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.
4.32
What are the X- and y-intercepts for the graph of the equation y = 4 - 2x ?
Answer:
The x intercept is (2,0)
The y intercept is (0,4)
Step-by-step explanation:
y = 4 - 2x
To find the x intercept, let y =0 and solve for x
0 = 4 - 2x
Subtract 4 from each side
-4 = -2x
Divide by -2
-4/-2 = -2x/-2
2 =x
The x intercept is (2,0)
To find the y intercept, let x =0 and solve for y
y = 4 - 2*0
y = 4
The y intercept is (0,4)
You have a loan for $200,000 at 8.5% annual simple interest.what is your monthly interest payment
Answer:
~1467
Step-by-step explanation:
$200,000 x 8.5% or .085 = $17,000 Annualy
$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments
Answer is $1467 Rounded
The monthly interest payment is $1,467.
Given that,
The loan amount is $200,000.The rate of interest is 8.5%.We need to find out the monthly interest payment.Based on the above information, the calculation is as follows:
[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]
= $1,467
Therefore we can conclude that the monthly interest payment is $1,467.
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plzzzzzzzzzzzzzzz helopppppppp
Answer:
Formula is [tex]\pi[/tex]r^2h/3
Volume 549.78
Step-by-step explanation:
which is [tex]\pi[/tex] multiplied by 5^2 the radius multiplied by 21/3 the height equals 549.78
Charlin got 20 questions correct on her exam and scored a 80%. How many (total) questions were on the exam
Find a formula for the area of the figure in terms of s.
Answer:
D. is √3/2 s^2
The area of the given triangle is (√3/6) s² so option (C) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Area of right angle triangle ;
A = (1/2) × Base × Hight
Tan 30° = height/s
1/√3 = height/s
height = s/√3
Now,
A = (1/2) × s × s/√3
A = 1/(2√3) × s²
Multiply √3 on numerator and denominator
A = √3/6 × s²
Hence "The area of the given triangle is (√3/6) s²".
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A restaurant offers a catering service which costs $25.00 per person with a $119.50 service charge. For parties of 50 or more people, a group discount applies, and the cost is $20.00 per person along with the service charge dropping to $59.00. (a) Write a piecewise-defined linear function which calculates the total cost T of the catering service which serves n people.
Answer:
T1(n) = 25n +119.50 where n belongs to [tex]1 \leq n <50[/tex].
T2(n) = 20n + 59 where n belongs to [tex]50\leq n[/tex].
Step-by-step explanation:
We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.
Let the number of person going for this restaurant be "n"
For normal day, we are given
catering service = $25 per person
service charge = $119.50
Let the total cost of the restaurant be T
Cost for this case will be T1
T1(n) = 25n +119.50 where n belongs to [tex]1 \leq n <50[/tex]
similarly for the case when 50 or more than that goes to this restaurant for party.
cost after discount
Catering service = $20.00 per person
service charge = $59.00
now the cost of this case will be T2
T2(n) = 20n + 59 where n belongs to [tex]50\leq n[/tex].
Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.
Which expression represents the phrase: 8 less than the product of 6 and a number, x?
Answer:
6x-8
Step-by-step explanation:
Answer:
6x - 8
Step-by-step explanation:
Can someone please help me out?
9514 1404 393
Answer:
64°
Step-by-step explanation:
y° and the angle marked 64° are "alternate interior angles", so are congruent.
y° = 64°
If 5.5 pounds of grapes cost $10, what is the unit rate in price per pound?
Answer:
$1.82 per pound
Step-by-step explanation:
Find the Area and Perimeter
Answer: a) Perimeter: 7n-7; Area: 12n^2-23n+10; b) Perimeter: 8n-2 ; Area: 12n^2-16n-3
Step-by-step explanation:
Area Formula:l*w Perimeter formula: l+w
Cos 315°=what?????????????
Answer:
√2/2 or 0.70710678118
Step-by-step explanation:
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
When the expression
10x^2/2x^6
is simpified what is the value left in the denominator?
For which shape is 45 degrees the smallest angle of rotational symmetry?
Answer:
Step-by-step explanation:
You want the external angle to be 45°.
If n = number of sides, the external angles are each 360°/n = 45°
n = 360/45 = 8
The shape is a regular octagon.
Answer:
the sun
Step-by-step explanation:
truss lebro
Solve g(x) = 22 + 12x – 5. Submit the sum of your solutions
Answer:
-17/11
Step-by-step explanation:
Pls help me question is above, pls give the correct answer:)
Answer:
A'=(5,1)
Step-by-step explanation:
Rotations
Given a point A(x,y) on the plane. A rotation of 270° counterclockwise will map point A to A'(y,-x), i.e. we switch x and y and invert x.
The preimage of point A is located at (-1,5). When rotated 270° counterclockwise it will map to (5,1).
The image attached below shows both points
Nora baked 40 cupcakes. She ate 4 cupcakes and gave 25% of the remaining
cupcakes to her neighbours. How many cupcakes did Nora have left?I want this answer it percentage
Answer:
27 cupcakes left
In percentage of the number of cupcakes left after she ate 4 = 75%
In percentage of the total number of cupcakes she baked = 67.5%
Step-by-step explanation:
Given that Nora baked 40 cupcakes and ate 4 cupcakes then, the remainder
= 40 - 4
= 36 cupcakes
If she gave 25% of the remaining, the number of cupcakes given
= 25% * 36
= 25/100 * 36
= 9 cupcakes
the number of cupcakes left
= 36 - 9
= 27 cupcakes
In percentage of the number of cupcakes left after she ate 4, this will be
= 100% - 25%
= 75%
In percentage of the total number of cupcakes she baked
= 27/40 * 100%
= 67.5%
write 56
as the product of prime factors
[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]
HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: All expect cos of theta=17/8
Step-by-step explanation: Fist, let find a equal cos equation. let use the idenitiy([tex]cos^{2}[/tex]Ф+[tex]sin^{2}[/tex]Ф=1. [tex]cos^{2}[/tex]+15/17^2=1, [tex]cos^{2}[/tex]=1-225/289. [tex]cos^{2}[/tex]=289/289-225/289. [tex]cos^{2}[/tex]=64/289. sqr root of [tex]cos^{2}[/tex]= 8/17.
Using Other Formulas, Since secant is the reciprocal of cosine. sec(theta)=17/8. since cosecant is the inverse of sin. csc(theta)=17/15.
Using the formula sin x/cos x= tan x , [tex]\frac{15}{17}[/tex]=[tex]\frac{8}{17}[/tex] =15/8.
HELP PLZ WILL GIVE BRAINLIEST
The answer is True
hope this helps
Answer:
Step-by-step explanation:
False
2
In the diagram, AB Is parallel to DE Also, DE is drawn such that the length of DE is half the length of AB If sin A = 0,5, then what is sin E?
Answer:
than we know that DE parallel AB => m<A = m<E so in this way sin A = sin E
knowed that sin A = 0,5 so sin E = 0,5 too
hope helped
Step-by-step explanation:
Which situation can be represented by 10x + 45 = 25x?
A.Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
B.A coin collection contains the same number of quarters as dimes. The value of the quarters increased by 45 cents is the same as the value of the dimes. How many quarters or dimes, x, are in the collection?
C.Twenty-five times a number is the same as 45 times the number increased by 10. What is the number?
D.The value of x dimes increased by 45 cents is the same as the value of x quarters. What is the value of x?
Answer:
its A.
Step-by-step explanation:
Answer: A. .Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
Step-by-step explanation:
10x + 45 = 25x can be written = its 10 times (x) + 45 is the sum of 25 times (x) the number
Hope this helps :)
Do Now
The ratio of girls to boys in a classroom is 3.1. How many boys are there in the classroom if
it has 12 girlS
Answer: 4
Step-by-step explanation:
To find out how many boys are in the classroom you must divide 12 from 3 to find the rate of change. 12/3= 4 so then you multiply 1*4 to find out how many boys are in the classroom. 1*4=4
Hope this helps ;)
Answer:
4 boys
Step-by-step explanation:
3:1 is the ratio of girls to boys
Lets girls be g and boys be b
G=3
B=1
G=12 12/3=4 and what you do to one side you do to the other it is multiplied by 4 so
B=1 time 4 =4
There are 20 pieces of fruit in a fruit bowi and 12 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
Answer:60 %
Step-by-step explanation:
if we set up an proportion, [tex]\frac{20}{100}[/tex] =[tex]\frac{12}{x}[/tex] the answer is 60. 100x12=12001200 divded by 20 =60A small orchestra has 3 stringed instruments. What is the ratio of violins to cellos?
A. 5/15
B. 6/11
C. 5/6
D. 6/5
Violin to Celio.
Violin : Celio
Violin = 6
Celio = 5
6:5
D. 6/5
The points (2, -12) and (4, r) lie on a line with slope 4. Find the missing coordinate r.
The bars in this graph represent the favorite sport listed
by teenagers in a random sample.
Is this graph misleading?
Favorite Sports
O Yes, because the scale does not start at 0
Yes, because the bars are not the same height
O No, because the bars are all the same width
O No, because the scale starts at 0
20
18
16
Frequency
14
12
10
Basketball Football Lacrosse Soccer Volleyball
Favorite Sport
Answer:
A.) yes because the scale does not start at 0
Step-by-step explanation:
edge
Answer:
A
Step-by-step explanation:
Please need help on this please
Need help on question hurry
Answer: C
Step-by-step explanation: it is c trust me
HELP QUICK ILL GIVE YOU BRAINLIEST
What is the surface area?
Answer:
25 ft if i am right than u plss mark me as brainliest
Is 4/10 equal to 2/3
Answer:
no, its not
Step-by-step explanation:
you can find the decimals by dividing the numerator and the denominator
4/10 = 0.4
2/3 = 0.6666666......
so the values are obviously different