Answer:
one tin of cheese $23
one tin of caramel $27
Step-by-step explanation:
let 'x' = cost of cheese tin
let 'y' = cost of caramel tin
10x + 8y = 446
22x + 11y = 803
i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms
-110x - 88y = -4906
+ 176x + 88y = 6424
66x = 1518
x = 1518 / 66
x = 23
find 'y': 10(23) + 8y = 446
230 + 8y = 446
8y = 216
y = 27
Which expression has a solution of 5, if r = 3?
Answer:
i need a picture
Step-by-step explanation:
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 =60The 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:
The radius of star A is 6.9203x10^5 km, which is 108.7 times the rafius of star B. what is the radius of the star B?
Answer:
6366.4213
Step-by-step explanation: 6.9203x10^5 is 692,030. I divided 692,030 by 108.7 to get the answer. Anybody can correct any error I may have.
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.
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
Promise Easy Points
Calculate the average monthly expenses for these individuals?
Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____
Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____
$420+$350+$432=kelsey's monthly expenses
$700+$800=Micheal's Monthly expenses
Michael's average monthly expenses are $750.
What is the average?The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Kelsey spent $350 in May, $432 in June and $420 in July.
Now, average monthly expenses are
(350+432+420)/3
= 1202/3
= 400.67
Michael spent $700 in April and May and $800 in June and July.
Here, (700×2+800×2)/4
= (1400+1600)/4
= 3000/4
= $750
Therefore, Michael's average monthly expenses are $750.
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write the number seventeen thousand and forty-eight in figures
Answer:
17 048
hi lets be freinds pleeease
Step-by-step explanation:
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
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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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.
Match the graph
with its inequality.
Answer:
The answer is A because all points less than -3 are shaded
Charlin got 20 questions correct on her exam and scored a 80%. How many (total) questions were on the exam
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.
PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS
Answer:
122
Step-by-step explanation:
x = 180-(180-50-72) = 180-(130 - 72) = 180 - 130 + 72 = 50 + 72 = 122
add 50+72 and it will give you 122 and the triangle should be uhhh hang on gosh this is hard to remember, um 180 I believe so if you do 180-122 it will give you 58. Now you do 180 -58 because of the °180 line and I believe and it will give you 122 for the missing x but don't take my word on it cause I'm not sure if it's right but that's what I remember
A glass is full. Then 65cm3 of orange juice is poured in.
The glass is now
6/7
full. What is the total volume of the glass?
Answer: 74.2857143 milliliters
Step-by-step explanation:
65cm3 + 9.28571429 milliliters = 74.2857143 milliliters
Todd swam his race in 26.785 seconds while Frank swam his race in 29.07 seconds. What was the difference in their times?
A. 2.185 seconds
B. 2.285 seconds
C. 29.692 seconds
D. 55.805 seconds
Answer:
B
Step-by-step explanation:
B because 29.07 - 26.785 = 2.285
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
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%
Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape
9514 1404 393
Answer:
13 : 33
Step-by-step explanation:
hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33
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
Yalguun earns 3.5% simple interest annually. She deposits $1050 into a bank account. How much interest will she make on her account after 9 years?
Answer:
Step-by-step explanation:
To use the simple interest formula, I = Prt, we substitute in the values for variables that are ... The rate of interest is usually expressed as a percent per year, and is calculated by ... Nathaly deposited $12,500 in her bank account where it will earn 4% interest. ... How much interest did she earn in 5 years
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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An object weighs 1 pound on earth weighs about 1/15 pounds on Pluto. If a man weighs 240 pounds on earth how many pounds would he weigh on Pluto?
Answer:
16 I believe. 240 divided by 15 is 16.
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:
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°
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]
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)
Lily spent $190 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 12 then how many of each kind did she buy?
Answer:
7 fancy shirts and 5 plain shirts
Step-by-step explanation:
f and p are the numbers of fancy and plain shirts
f+p = 12
p = 12-f
20f + 10p = 190
20f + 10(12-f) = 190
20f + 120 - 10f = 190
10f = 70
f = 7
p = 12-f = 5
PLEASE HELP i have by the end of the day to turn this in PLEASE DO NOT GUESS :)
Answer:
x=101
Step-by-step explanation:
the missing angle and the outside angle have to equal 180 so
148-180= 32
then add 32+47 and subtract by 180 and that's your answer
Subtract 9/10-2/5 what is the answer?
Answer:
[tex]★\:\: \frac{9}{10} -\frac{2}{5}\\ = \frac{9}{10}- \frac{4}{10} \\ = \frac{(9 - 4)}{10} \\ = \frac{5}{10} \\ = \boxed{ \frac{1}{2}}✓ [/tex]
1/2 is the right answer.