Given:
Cost of two donuts and three cookies = $3.30
Cost of five donuts and two cookies = $4.95
To find:
The cost of each donut.
Solution:
Let x be the cost of each donut and y be the cost of each cookie.
Cost of two donuts and three cookies = $3.30
[tex]2x+3y=3.30[/tex] ...(i)
Cost of five donuts and two cookies = $4.95
[tex]5x+2y=4.95[/tex] ...(ii)
Multiply equation (i) by 2.
[tex]4x+6y=6.60[/tex] ...(iii)
Multiply equation (ii) by 3.
[tex]15x+6y=14.85[/tex] ...(iv)
Subtracting (iii) from (iv), we get
[tex]15x+6y-4x-6y=14.85-6.60[/tex]
[tex]11x=8.25[/tex]
Divide both sides by 11.
[tex]x=\dfrac{8.25}{11}[/tex]
[tex]x=0.75[/tex]
Therefore, the cost of each donut is $0.75.
PLS HELP:
Remember that there are 5000 inhabitants (people and speech-capable creatures) in the Kingdom. If Cal Amity wants a confidence level of 95% and a margin of error of 2% for his results, how many inhabitants should he survey?
Answer:
1632
Step-by-step explanation:
https://h2.flipswitch.com/LinkPageProvider/Launch?pageIdentifier=1ca77597-35de-4bf7-a2a9-77b829d248be
Today only, a table is being sold at a 32% discount. The sale price is 425 . What was the price yesterday?
Answer:
625
Step-by-step explanation:
.........................
Rewrite the mixed fraction to a whole fraction. 1 1/2
3/2
2/3
2/2
none of these
Answer:
3/2
Step-by-step explanation:
[tex]1 \frac{1}{2} [/tex]
i) convert the mixed number to an improper fraction by multiplying the denominator and adding the numerator[tex] \frac{1 \times 2 + 1}{2} [/tex]
[tex] \frac{2 + 1}{2} [/tex]
[tex] \frac{3}{2} [/tex]
Answer:
3/2
To convert 11/2 to a whole fraction
you multiply
the whole number (1) with the denominator (2) and add the numerator
1×2+1/2
=3/2
PLZZ HELP OR IM FAILLING
Zeke drank 2/5 of his water before his run. He drank 1/6 of his water when
he finished. What fraction of his water bottle did he drink in all?
Answer:
17/ 30 ???
Step-by-step explanation:
.....................
Answer:
17/30
Step-by-step explanation:
2 1 = 17
5 6 = 30
What is the equation of the line with slope 3 through the point (5, 1) in point-slope form?
y-5=3(x-1)
y-1=3(x-5)
y=3x-14
y=3x+2
P L E A S E H E L L P P P P P P P P !! WILL MARK BRAINLIEST
Answer:
D or the last one
Step-by-step explanation:
Answer: its the last one
Step-by-step explanation:
its the last one
i hope i helped
if i did pls mark BRAINLIEST!!
k
Urgent!! Please only answer if you know. Use the properties of exponents to rewrite this expression.
(expression in attached image)
What is the value of the rewritten expression when a = -5?
Answer:
-500
Step-by-step explanation:
(2a^4)^2
-----------------
a^0 a^5
We know ( xy) ^z = x^z y^z
so
(2a^4)^2 = 2^2 a^4^2
and x^y^z =x^(y*z) so a^4^2 = a^(4*2) = a^8
(2a^4)^2 = 4 a^8
We know that a^0 = 1
4 a^8
-----------------
1 a^5
We know x^y / x^z = x^ ( y-z)
4 a^( 8-5)
4 a^3
Let a = -5
4 ( -5) ^3
4 ( -125)
-500
Answer:
He is right it is -500
Step-by-step explanation:
All the questions are similar but I need help
2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x
3. Explain and correct the error made by a student who simplified this expression.
–2 + 7(x + 8)
5(x + 8)
5x + 40
4. Explain and correct the error made by a student who simplified this expression.
–2x – 4x + 8y – y
(–2 – 4)x + (8 – 0)y
–6x + 8y
Answer:
Step-by-step explanation:
2) They distributed an x out of the term with out one. that is the 8
so the expression should be 5x +8
3) They didn't follow order of operations and took 2 away from the 7 before they distributed the 7 :O very bad of them
the expression should be 7x + 54
4) They distributed out the y but didn't leave a 1 so the problem lost a term.
the expression should be -6x + 7y
I dont know the answers to this and its SUPER important I get it right.
Answer:
all of dem
Step-by-step explanation:
14. The figure shows a slice of an apple pie in the shape of a sector of a circle with centre O and radius 8cm. A cut is made along AB to remove some of the crust
Given that AB = 7 cm find:
(i) AOB in radians
(ii) the maximum number of slices that can be obtained from one full pie.
(iii) the area of the shaded segment that has been removed
Step-by-step explanation:
(i) Using the law of cosines, we can find that
[tex]cos(O) = \frac{8^{2}+8^{2} - 7^{2}}{8*8*2}[/tex] ≈ 0.62, so O ≈ 0.9
(ii) Since the whole pie has 2π radians (or 360 degrees), we can divide 0.9 by 2π to get around 6.9 slices from the pie
(iii) The area of the shaded segment can be found by finding sector OAB and subtracting triangle OAB from that. Sector OAB can be found by finding the area of the pie (π*8², since 8 is the radius) and dividing that by 6.9, so we get 64π/6.9 ≈ 29. Then, the area of the triangle is √p(p-a)(p-b)(p-c), with p being the perimeter and a, b, and c being the sides. Plugging 7, 8, and 8 in, we get 25.1781 as our area, so the difference is around 3.8
3. Which point has the coordinates (4, -3)?
Answer:
Step-by-step explanation:
B
here are 5 number cards
Answer:
im doind the same question on mahswatch what is it
Step-by-step explanation:
I need to find the value of X if someone could help that’ll be great thank you!
NEED HELP ASAP PLZZZ
Answer:
The answer is the 1st option, so 6x+1
The price of gold rose from $790 per ounce to $860 per ounce what percent increase does this amount represent round to the nearest 10th of a percent
7p−(−5)+(−1)=solve it
Answer:
[tex]7p - ( - 5) + ( - 1) \\ = 7p + 5 - 1 \\ = 7p + 4[/tex]
Answer:7p+4 :)
Step-by-step explanation:
12___24
1. >
2.=
3.<
I don’t know which one to pick
Answer:
<
I hope it will be useful.
They all have to be simplified
If f(x)=x-3/x, g(x)= x+3, and h(x)=2x+1, what is
Answer:
Step-by-step explanation:
https://brainly.com/question/20086687?answeringSource=greatJob%2FquestionPage%2F3
Can I get some help plz?
Answer:
X=20 degree
Step-by-step explanation:
∆A+∆D+∆O=180
2x+10+2x+90=180
collect like terms
2x+2x=180-100
4x=80
(4x)/4=(80)/4
x=20 degree
Answer:
[tex]angles \: of \: triangle \: add \: up \: to \: {180}^{0} \\ {(2x + 10})^{0} + {(2x)}^{0} + {90}^{0} = {180}^{0} \\ 4x = {(180 - 90 - 10)}^{0} \\ 4x = {80}^{0} \\ x = {20}^{0} [/tex]
Find the volume of this rectangular pyramid. Will give brainliest if correct, be sure to include the correct unit in ur answer!
Answer:
25yd^3
Step-by-step explanation:
V= lwh/3
5×3×5/3
25
Answer:
25 yd^3
Step-by-step explanation:
V=lwh/3
V=5*3*5/3
V=75/3
V=25
find the value of x
Answer:
x= 64
Step-by-step explanation:
by Z rule
x= 180-116 = 64
6y - 26 and 2(3 - 13) Are they equivalent?
Answer:
٢٤٦ ٤٧ ٥١٩+٣٦
Step-by-step explanation:
)اتييمثتنث)٢-ثعه1غميصك
help please!
3|x-7|=27
Answer:
16
Step-by-step explanation:
can divide each side by 3 and get: |x - 7| = 9
can solve as though equation was this: x - 7 = 9
Samantha wants to buy a $20,200 car. the sales tax is 8.2%. she makes a down payment of$ 1, 500 and finances the rest over 5 years at 6.2% interest what is her monthly car payment

Can some help me with number 2 please
The number line that represents opposite numbers is (a) number line 1
How to determine the number line?From the question, we understand that:
The numbers are opposite numbers
Take for instance, we have a number x.
The opposite of the number x is -x
So, the number line that represents opposite numbers must have points at x and -x
Let x = 10.
So, we have:
Opposite numbers = 10 and -10
So, the number line that represents opposite numbers must have points at 10 and -10
Hence, the number line that represents opposite numbers is (a) number line 1
Read more about number lines at:
https://brainly.com/question/4727909
#SPJ1
In football A field goal counts three points and extra point after touchdowns Count as one point a kicker score 30 points on 16 kicks how many of the Kicks are field goals
Answer:
2
Step-by-step explanation:
3x30=90
15x3=45
90/45=2
Answer:
He makes 14 field goals and 7 extra point kicks
Step-by-step explanation:
f=#of field goals
e=extra kick points
f+e=21
3f+1e=49
subtract top from bottom
2f=28
f=14
Good luck!
Dannon has $10.80 in dimes and quarters. If dannon has 32 more quarters than dimes, how many dimes does he have?
Answer:
he should have 28 dimes
Step-by-step explanation:
Answer:
0.34
Step-by-step explanation:
10.80 DIVIDED BY 32 IS 0.3375 IF YOU ROUND THAT IT WOULD BE 0.34
Your friend spends $20 on dinner and wants to leave a 15% tip. How much do they need to pay in tip?
A salesman gets a basic wage of £160 per week plus a commision of 30%
of the sales he makes that week.
In one week his total wage was £640
Work out the value of the sales he made that week.
Answer:
The value of the sales that week was £1,600
Step-by-step explanation:
The wage of a salesman is made of two parts: A fixed-wage of £160 per week plus a commission of 30% (0.3) of the sales he makes that week.
The wage can be modeled by the function:
W = 160 + 0.3x
Where x is the amount of sales per week.
If he had a total wage of £640, then we can find the values of the sales by solving for x the equation
160 + 0.3x = 640
Subtracting 160:
0.3x = 640 - 160
0.3x = 480
Dividing by 0.3:
x = 480/0.3
x = 1,600
The value of the sales that week was £1,600