Answer:
The number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.
Step-by-step explanation:
Given that the cost for regular coffee drinks (300 ml)=$2.25
The cost for large coffee drinks (500 ml)=$3.25
The cost for extra large coffee drinks (800 ml)=$5.75
Let p,q, and r be the number of regular, large, and extra-large coffee sold.
As the diner sold a total of 37 coffees, so
p+q+r=37
r=37-p-q...(i)
The volume of p regular coffee = 300p ml
The volume of q large coffee = 500q ml
The volume of r extra-large coffee = 800r ml
As the total volume of coffee sold was 19,100mi, so
300p+500q+800r=19100
By using equation (i)
300p+500q+800(37-p-q)=19100
300p+500q+800 x 37 - 800p - 800q=19100
-500p-300q=19100-29600
500p+300q=10500
500p=10500-300q
p=21-0.6q...(ii)
Now, the cost of p regular coffee=$2.25p
The cost of q large coffee=$3.25q
The cost of r extra-large coffee=$5.75r
As the amount of money made in coffee sales was $133.25, so
2.25p+3.25q+5.75r=133.25
By using equations (1) we have
2.25p+3.25q+5.75(37-p-q)=133.25
2.25p+3.25q+212.75-5.75p-5.75q=133.25
3.50p+2.50q=79.5
From equation (ii)
3.5(21-0.6q)+2.50q=79.5
73.5-2.1q+2.5q=79.5
0.4q=79.5-73.5=6
q=6/0.4
q=15
From equation (ii)
p=21-0.6(15)
p=12
From equation (i)
r= 37-12-15
r=10
Hence, the number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.
Please help
Evaluate 5 + 3 to the power of 2 • 5
Answer:
50
Step-by-step explanation:
5 + 3² · 5
The exponents come first, then the multiplication, then the addition:
5 + 9 · 5 = 5 + 45 = 50
Answer:
50
Step-by-step explanation:
5 + (3^2) x 5
= 5 + 9 x 5
= 5 + 45
= 50
Find the values of x and y. Pls helpI’m helpless at math
Answer:
x = 1 [tex]y=\frac{\sqrt{3}}{2}[/tex]Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
The adjacent to the angle ∠60° is 1/2. The opposite to the angle ∠60° is y.The hypotenuse = x
Determining the value of x:
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
[tex]cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}[/tex]
[tex]\cos \left(60^{\circ \:}\right)=\frac{1}{2x}[/tex]
[tex]\frac{1}{2}=\frac{1}{2x}[/tex] ∵ cos (60°) = 1/2
[tex]2x=2[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{2}{2}[/tex]
Simplify
[tex]x=1[/tex]
Thus, the value of hypotenuse x is:
x = 1
Determining the value of y:
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
[tex]y=\frac{\sqrt{3}}{2}[/tex] ∵ [tex]\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]
Therefore, the value of y is:
[tex]y=\frac{\sqrt{3}}{2}[/tex]
Summary:
x = 1 [tex]y=\frac{\sqrt{3}}{2}[/tex]PLZ HELP IM GIVING YOU 100 POINTS
solve for x
2 1/4 = 1 2/7 divided by x
Answer:
x = 4/7 or 0.571428571
Step-by-step explanation:
What is the x-value of the solution to the system of
equations: y = -x + 1 and y = 2x - 8 ? Just write the number
for your answer.
Answer:
x=3
Step-by-step explanation:
determine a similarity transformation that maps the primage to the image.
Answer:
Step-by-step explanation:
From the figure attached,
ΔABC has been dilated to form another triangle ΔA'B'C'.
Therefore, ΔA'B'C' is the image triangle of preimage ΔABC.
Coordinates of preimage ΔABC are,
A(3, 3), B(2, 0) and C(5, 2)
Coordinates of ΔA'B'C',
A'(6, 6), B'(0, 4) and C'(10, 4)
Since, dilation of a triangle is a similarity transformation which produces the similar image of the preimage.
Rule for the dilation is,
(x, y) → (kx, ky)
Here, k = scale factor of dilation
By this rule,
A(3, 3) → A'(6, 6)
→ A'(2×3, 2×3)
Scale factor = 2
Therefore, "Triangle (ABC) is dilated by a scale factor 2 about the origin to form triangle (A'B'C') ".
The equation of the line graphed below is
. Do not include spaces in your answer.
Help me pls....
Find the distance on the map, in cm, which represents an actual distance of 14.4 km
Answer:
14.4 km = 1440000
Step-by-step explanation:
1 km = 1000m
14.4 km = 1000 ×14.4
=14400 m
1 m =100 cm
14400 m = 100 × 14400
= 1440000 cm
John is measuring a piece of glass to fit in a triangular frame. He can only remember
two sides of the frame, which are 6 centimeters and 11 centimeters. Between what
two numbers must the third side of the frame fall?
A. X < 17
B. X > 5
C.5< X < 17
D. 5 ≤ X ≤ 17
Answer: (c)
Step-by-step explanation:
Given
length of two sides of a triangle is 6 cm and 11 cm
In a triangle length of the third side lies between the sum and subtraction of the other two sides
Suppose x is the length of the third side so
[tex]11-6<x<11+6\\5<x<17[/tex]
please help me on this will give you brainliest
Answer:
Step-by-step explanation:
1
-
8 exponent 9
Help me please Im the big not smart
Answer:
Step-by-step explanation:
Pls help I’ll give Brainly if correct
7) 18x+27
I would love to answer number eight, but it's not clear. (I need a full pic of 8)
Answer:
See below.
Step-by-step explanation:
7.)
-9(-2x - 3)
18x + 27
8.)
Can't quite see it properly but I think its 2x - 17. It could be written as -17 + 2x.
What ist he solution of the equation?
2=6p-8-5p
a 10
b -6
c 2
d 10
Answer:
10
Step-by-step explanation:
6p - 5p = p
p - 8 = 2
2 + 8 = 10
10 - 8 = 2
so, p = 10
What is the third term in this sequence?
Answer:
c
Step-by-step explanation:
ASAP MATH!! MARKING BRAINLIST!!
help againlol
The price of a coat is reduced by 15% in a sale.
The sale price of the coat is £136.
Work out the price of the coat before the sale.
Step-by-step explanation:
Find 100% of the price:
100 - 15 = 85% (Sale price)
85% = 136
1% = 136 divide 85 = 1.6
100% = 1.6 x 100 = 160
Ans: £160
f(x) = -3x^2
Find f(-2)
Answer:
f(x)=-3x^2
f(-2)=-3*(-2)^2
f(-2)=-3*4
f(-2)=-12
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
A company rents out 11 food booths and 28 game booths at the county fair. The fee for a food booth is $200 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Step-by-step explanation:
Total company pay
= Pay for food booths + Pay for game booths
= 11($200 + $9d) + 28($95 + $6d)
= $2200 + $99d + $2660 + $168d
= $4860 + $267d
= $3(1620 + 89d).
m2 + 5m + 6 = 0
solve equation by factoring
Determine the domain and range and whether
the relation is a function:
{(1,2) (3,3) (4,1) (6,2) }
is x = 3/y a linear function
Answer:
No, it is not.
Step-by-step explanation:
I mapped the equation with a graphing calculator. It is not linear.
Pls mark brainliest. Thanks!
Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.
Answer:
12x+20
Step-by-step explanation:
Perimeter of a garden = 4s, s being the length of the side
In this case, s = 3x+5
substitute the equation
4(3x+5)
=12x+20
giving BRAINLEST PLEASE HELP!
Answer:
The answer to the first one should be $27.32 is what the full bill costs with tax.
The answer to the second one they added an 18% tip ontop.
Step-by-step explanation:
The explanation for the second one is 27.32*.18=4.92+27.32=32.24 meaning they gave an 18% tip.
Lupe and her friends spend $20 on hot dogs and popcorn at a
sporting event. Hot dogs cost $2.50 each, and popcorn costs $1.00
each. They buy a total of 11 items at the concession stand. How
many of each item do they buy?
Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
Please answer this question for 100 points
Answer:
Ratios are proportional if both serve the identical tie. A method to detect if a pair of ratios remain equivalent is to rewrite them being fractions, then decrease them. If the decreased fractions are equal, the ratios are comparative.
Step-by-step explanation:
Answer:
still need help?
Step-by-step explanation:
PLZ....
11. Find mZJHI.
Answer:
JHI = 23°
Step-by-step explanation:
Since it's a rectangle it has 4 right angles.
90= 3x + 2 + 12x -17
90= 15x -15
105= 15x
x=7°
So HJI would be 12*7 -17 = 67°
Knowing that the sum of the angles of a triangle is 180°,
67° + 90°+ JHI= 180°
JHI = 23°
Answer:
Step-by-step explanation:
we have 2 equations that we can set equal to 90. that way, we can find x and then solve the equations for themselves. angle JHI is equal to GJK, which is an angle we can easily find. here is my work:
(3x + 2) + (12x - 17) = 90
15x - 15 = 90
+ 15 + 15
15x = 105
x = 7
3(7) + 2
21 + 2
GJK = 23
so, since the two angles are congruent, that means that angle JHI = 23 degrees
Please help I want to snap my laptop in half trying to do this if anyone could help that would be great thanks
Answer:
can I have ur snap?
Step-by-step explanation:
Solve & Graph the inequality
Solve:
2x – 3 > 2 + 10
Answer:
x>15/2
Step-by-step explanation:
2x-3>12
2x>12+3
2x>15
graph is at positie 7.5 open circle to 10 going right
Selena's bill came to $12.56. If she paid with $14.75 what would be her change?
Answer:
$2.19
Step-by-step explanation:
14.75-12.56=2.19
F
U .C .K .l. hola hi hello frients amigos no inglishwhat's the answer to this ?
Answer:
3/41
Step-by-step explanation:
20+18+3=41 the proportional
So the arrow is in between x and 3
Which is x=3
Therefore x=3/41
