22. Restaurants At Morgan's Fine Cuisine, meals are served a la carte. That is, each
item on the menu is priced separately. Jackie and Ted Parris went to Morgan's to
celebrate their anniversary. Jackie ordered prime rib, 2 side dishes, and a roll. Ted
ordered prime rib, 3 side dishes, and 2 rolls. Jackie's meal came to $36 and Ted's
meal came to $44. If the prime rib is three times as expensive as a side dish, what
is the cost of each item?
Answer: Cost of a side dish = $ 7
Cost of a roll = $1
Cost of prime rib = $21
Step-by-step explanation:
Let x = cost of a side dish , y= cost of a roll
Then, cost of a prime rib = 3x
Jackie's meal : prime rib, 2 side dishes, and a roll, it came to $36
i.e. 3x+2x +y = 36
⇒ 5x+y=36 (i)
Ted's meal : prime rib, 3 side dishes, and 2 rolls, it came to $44.
i.e. 3x+3x +2y = 44
⇒6x+2y=44
⇒ 3x+ y= 22 (ii) [divide both sides by 2]
Subtract (ii) from (i), we get
2x= 14
⇒ x=7 [divide both sides by 2]
Put x=7 in (ii), 3(7)+y=22
⇒ 21+y=22
⇒ y =22-21
⇒ y= 1
So, cost of a side dish = $ 7
cost of a roll = $1
cost of prime rib = 3x $7 = $21
A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.
Remember from now on :
E = 10
Let's solve now....
[tex]1.16 \times {10}^{ - 7} = [/tex]
[tex]116 \times {10}^{ - 9} = [/tex]
[tex]0.000000116[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she paid a total of $21.60. how many packs of each size cup did she buy?
Which expression is equivalent to 33.63.23 without
exponents?
Plz only answer if ur sure about the answer :)
Answer:
66r+77 | -14k+9
Step-by-step explanation:
i gotchu big daddy
A factory made 125 packs of gum. 32% of the packs contained mint-flavored gum. How
many packs of mint gum did the factory make?
Answer:
3.90
Step-by-step explanation:
Solve the equation for a, when b=4 and c=5
[tex]17+2b-4c=4(a-7)-3[/tex]
(C) In the past 9 days, Lena has received the following numbers of email advertisements per day:
40, 41, 42, 43, 46, 48, 50, 52, 85.
Which measure should be used to summarize the data?
Mean
Median
Mode
Jessica bought 4 packages of birthday invitations for 16.95 per package including tax each package contained 12 birthday invitations one stamp coast 0.44 she plans to split the cost evenly with her mother how much money will Jessica mother need to give to Jessica
Answer:
Jessica's mum will give her 44.46
Step-by-step explanation:
To solve this, we will first of all need to get the total cost of sending the birthday invitations across. After that, we can now split the cost into two.
Cost of sending birthday invitations:
Package cost = 16.95
Number of packages bought = 4
total sum spent on packages = 4 X 16.95 = 67.8
Each package contains 12 invitations.
There are 4 packages.
Total number of invitations = 12 X 4 = 48 invitations
One stamp cost 0.44.
Putting stamps on all 48 invitations will cost 0.44 X 48 = 21.12
Therefore the total cost will be the total sum spent on packages +the total sum spent on stamps = 67.8 + 21.12 = 88.92
Her mum has agreed to pay half of this cost which is 88.92 / 2 = 44.46
g(t) = -2t + 3f(t) = 2t - 5
Find (g f)(t)
Answer:
( g − f ) ( a ) = g ( a ) − f ( a )
( g −f ) ( a ) = g ( a ) − f ( a )
= − 3 a − 3 − a 2 − 5
= − a 2 − 3a − 8
Step-by-step explanation:
After calculating, the value of (g f) (t) is ( - 4t + 13).
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The functions are,
⇒ g(t) = -2t + 3 and f (t) = 2t - 5
So, The value of function (g f) (t) is find as;
⇒ (g f) (t) = g (f (t))
= g (2t - 5)
= - 2 (2t - 5) + 3
= - 4t + 10 + 3
= - 4t + 13
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Sequence: 2, 6, 10,_,_ _.
What are the next two numbers in the sequence?
A 14, 18
B
16, 24
C 14, 20
12, 16
Answer:
A. it goes up by 4 each time so 4 to 10 would be 14 and 4 up from that would be 18
A parkingmeter charges$2 perhour.As a driverparks hercar,she noticesthat the parkingmeterhas15 minutesremainingonitfromthe previousdriver whousedthe parking spot.Ifthedriverinsertsd dollarsintotheparkingmeter and theparkingmeter has 3 hoursremainingon itas a result,write an equationtosolve ford?
Answer:
3 = 0.25 + 0.5d
Step-by-step explanation:
Given that:
Amount charged per hour = $2
Time left before inserting $d = 15 minutes
Total time after inserting $d = 3 hours
Total time of 3 hours = time left by previous driver + hours purchased with $d
$2 = 1 hour
$d = x
2x = d
x = d/2 ; 0.5d
Since 15 minutes is left before inserting $d
15 minutes to hour ; 15/60 = 0.25
Total time of 3 hours = time left by previous driver + hours purchased with $
3 = 0.25 + 0.5d
1. Marvin and Zoey both are working part time jobs for the summer and the graph below
represents their earnings. The horizontal axis represents the hours worked, the vertical
axis represents the money earned, the dashed line represents Zoey's earnings, and the
solid line represents Marvin's earning. Who earns more?
The College Bookstore is having a back-to-school sale the t-shirts that are usually sell for $34.50 are marked down to $20.70 what percent off are they
Answer:
40% off
Step-by-step explanation:
8(-a+4)=-6a-8+8a
Can y’all help me
Answer:
a = 14.4
Step-by-step explanation:
8a/8 = a 8(-a+4)/8=-a+4 equation is now -a+4=-6a-8
-6a/-6 = a -a/-6=1/6a equation is now 1/6a + 4 = a-8
a-8 + 8 = a 1/6a + 4 + 8 = 1/6a + 12 equation is now a = 1/6a+12
5/6 are left of the variable 12/5=2.4 12 + 2.4 = 14.4
Helps me solve this problem please
Answer:
-4 hope it helps :)
Step-by-step explanation:
Step-by-step explanation:
mark as brainlistyour answer is -4
Question 8
Translate and Solve
Twelve more than seven times a number equals the number less six. What is the answer not equation?
Answer:
-3
Step-by-step explanation:
12 + 7x = x - 6
7x - x = -6 - 12
6x = -18
x = -3
The translation of the given statement is 12 + 7n < 6.
What is inequality ?Inequality is a form of comparing two non equal quantities.It has four types less than, less than or equal to and greater than, greater than equal to.
According to the given question we have to translate a given statement into a numerical expression.
Given, Twelve more than seven times a number equals the number less six.
Let the number be denoted by 'n'.
Twelve more than 7 times a number is 12 + 7n is less than 6.
12 + 7n < 6.
7n < 6 - 12
7n < -6
n < -6/7.
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Can someone help me with my math? Please, I am begging you! It's due today and I'm confused.
A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:
Answer:
[tex]Point-Slope \: Form \: (using \: the \: point \: (1,9) \to \boxed{y-9=2x- 2}\\
Slope-Intercept \: Form \to \boxed{y = 2x + 7}\\
Standard \: Form\to\boxed{ 2x - y = - 7}[/tex]
Step-by-step explanation:
[tex]the \: equation \: is \: gotten \: by \: applying : \ \\ (m) = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} .............(the \: slope) \\ y-y_{1} =m (x- x_{1})..............(point \: slope \: form) \\ y = mx + c..............................(Slope-Intercept \: Form) \\ \alpha x + \beta y = c...................(Standard \: Form) \\ \\ part \: a. \to \\ Point-Slope \: Form \: (using \: the \: point (1, \: 9)): \\ y-y_{1}=m (x- x_{1}) \\ y-9=m (x- 1) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{9 - 7}{1 - 0} \\ m = 2. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y-9=2x- 2}. \\ \\ part \: b. \to \\ Slope-Intercept \: Form: \\ since \: m \: is \: already \: given \: then \: we \: apply : \\ y = m(x) + c \\ c = y - m(x) \\ c = 9 - 2(1) \\ c = 7. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y = 2x + 7}. \\ \\ part \: c. \\Standard \: Form: \\ the \: standard \: form \: is \: given \: by : \\ \alpha x + \beta y = c \\ \boxed{ 2x - y = - 7} \\ is \: the \: required \: equation.[/tex]
♨Rage♨
3.a shoe store marks up its merchandise by 8%. what was the selling price of a pair of shoes whose wholesale price is $24.50?
Answer:
Hi there!
Your answer is:
26.46$ selling price
Step-by-step explanation:
.08 markup
Original price= 24.5
24.5+ (.08*24.5)
26.46$
In 1999, the price of unleaded fuel was $1.09. In 2015, the price of unleaded fuel is $1.89. What is the percent change
Answer:
73.39%Step-by-step explanation:
Initial price
$1.09Later price
$1.89Percent change:
(1.89 - 1.09)/1.09 × 100% =0.7339 × 100% =73.39%What is the value of x?
Answer:
x = 98
Step-by-step explanation:
x = 53 + 45
x = 98
note: the measure of an ext. angle of a triangle is equal to the sum of the two non-adjacent interior angles.
Answer:
98
sum of angle in this triangle = 180
180-(53+45) = 82
so, the third angle is 82 degrees.
moving forward, the third angle (82 degrees) and angle x are straight line angle,
therefore, x + 82 = 180
x =180-82
x=98
If TGS = KEL, which angle in KEL corresponds to T?
Hello.
If ΔTGS ≅ ΔKEL, then angle ∠T ≅ ∠K because:
∠T ≅ ∠K
∠G ≅ ∠E
∠S ≅ ∠L
Answer:
Then it is K
But you aren't giving me a lot of information
to work with here, so I answered it the best I know-how.
Step-by-step explanation:
:) Hope you enjoy it :)
HELLLOOOO THIS IS DUE HELP
Answer:
RS=13
Step-by-step explanation:
RS+ST=RT
2w+1+w-1=18
3w=18
w=6
RS= 2w+1= 2(6)+1= 12+1= 13
Find the area of the shape shown in Figure 1 and type your answer into the box below in units squared.
15 points!! ill also give you a brainliest if you get it right!
Answer:
34 unit squared
Step-by-step explanation:
4*12 then divide 2
4*5 then divide by 2
add two values together and get 34
Answer:
24
Step-by-step explanation:
A=bh x (1/2)
base times height divided by two
PLZ HELP ASAP WILL MARK BRAINIEST
(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3
solve for x!!
Answer:
x= 13
Step-by-step explanation:
What is the number 7 1/3 written as an improper fraction?
Answer:
22/3
Step 1: Multiply 7 by 3.
7 x 3 = 21
Step 2: Add 1.
21 + 1 = 22.
Answer = 22/3
Answer:
22/3
Step-by-step explanation:
7 * 3 = 21
21 + 1 = 22
22/3
To make this an improper fraction you need to multiply the denominator by the whole number. Then add the sum of that to the numerator.
Hope this helps! :)
Which is a graph of y = -2x + 3
Right how do we write 10 hundredths in standard form
Answer:
Thus, ten hundredths in standard form (or standard notation) is 0.1. We call it 'one-tenth', it's a small number of less than 1.Step-by-step explanation:
Hope this HelpsAnswer:
0.1
that is 10 hundredths in standard form
Deb ate 15 strawberries.
Amir ate 5 fewer strawberries than Deb.
How many strawberries did Amir eat?
strawberries
help pls quick
Answer:
I think 15
Step-by-step explanation:
I don't have enough finger so I used my toes.
You spent $36 buying $9 storage crates
and $3 notebooks. This situation can be
modeled by the equation 9x + 3y = 36.
Find the x- and y-intercepts. Graph
the equation.
Answer:
y-intercept=-4
x-intercept=12