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Veseljchak [2.6K]
3 years ago
9

Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pou

nd, the sugar cookies sell for $3 and the chocolate chip cookies sell for $3.60 per pound. The entire platter is worth $40. The quantity of peanut butter cookies was 3 more than chocolate chips. How many pounds of each cookie was there. Answered with a chart.
Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

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In trigonometry, for a right triangle, the <u>sine</u> (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

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Learn more about trigonometric ratios at

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8 0
2 years ago
Substitution method 2x-y+24 y=-3x+16
Llana [10]

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4 0
3 years ago
Has a slope of 2 and passing through (10, 17)
LUCKY_DIMON [66]

Answer:

y = 2x - 3

Step-by-step explanation:

The slope intercept form of a linear equation is y = mx + b

We know that m = 2

We can plug in x and y values to find b

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b = 17 - 20

b = -3

Therefore,

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4 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a
yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

                            =  (27-2x)(19-2x)

                            =  513-54x-38x+4x^2

                            =   513-92x+4x^2

According to the question,

513-92x+4x^2=153

513-92x+4x^2-153=0        ( subtract 153 both sides)

4x^2-92x+360=0

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x^2-23x+90=0

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x^2-18x-5x+90=0

x(x-18)-5(x-18)=0

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x-5=0 or x-18=0             ( zero product property)

x=5 or x=18

if x=18, dimension would be negative  ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0
4 years ago
Find the area of the composite figure. PLEASE HELP. SORRY BUT ENGLISH ONLY.
Ivahew [28]
Looks like a regular hexagon

see my attachment

we put some imaginary lines and take the 2 trignles on the right and put them on teh left side
now we have a rectangle wit height 8 and width 2+4 or 6
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4 0
3 years ago
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