The seventh grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.
a) Define the variable(s)
b) Write a system of equations for the situation.

Answer

0.6

Step-by-step explanation:

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Answer:

Look at the image!!

Step-by-step explanation:

Hope this helps!!

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Answer:

[tex]-\frac{3}{2}[/tex]

Answer:

49

Step-by-step explanation:

7^2=49

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

[tex]2 {x}^{2} - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \: \: \: or \: \: x + 3 = 0 \\ x = \frac{7}{2} \: \: and \: x = - 3[/tex]

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Answer:

y=3/4x-4

Step-by-step explanation:

The form is y=mx+b so isolate y

-4y=16-3x

y=-16/4-3x/-4

y=3/4x-4

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope intercept form: y = mx + b

3x - 4y= 16

-4y = 16 - 3x

4y = -16 + 3x

y = -4 + 3/4x

y = 3/4x - 4

Step-by-step explanation:

Answer:623

Step-by-step explanation:

Answer:

2 real roots and 1 imaginary roots

Step-by-step explanation:

f(x) = [tex](x-a)(x-b)^{2} (x^{2}+c)[/tex]

There are only 2 real roots and one imaginary roots.

Separate the equation into sections because the function is a multiplication with no outside sum or substraction:

Real Roots:

[tex](x-a)[/tex] = 0 when x = a

[tex](x-b)^{2}[/tex] = 0 when x = b

Imaginary roots:

[tex](x^{2}-c)[/tex] = 0 when x = [tex]\sqrt{-c}[/tex]

Answer:

Vertical compression

Step-by-step explanation:

g(x)=0.25f(x), if you substitute for f(x) you get B

Answer:

the answer to the inequality is

Step-by-step explanation:

x = 3

Answer:

[tex]x < 4[/tex]

Step-by-step explanation:

1) Subtract 2 from both sides.

[tex]5x < 22 - 2[/tex]

2) Simplify 22 - 2 to 22.

[tex]5x < 20[/tex]

3) Divide both sides by 5.

[tex]x < \frac{20}{5} [/tex]

4) Simplify 20/5 to 4.

[tex]x < 4[/tex]

So, therefor, the answer is, x < 4.

Answer:

1200:800

Step-by-step explanation:

1200÷3=400

400×2=800

800 laptops

Answer:

800 Laptops

Step-by-step explanation:

3:2 = 1200:x

I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.

Answer:

From left column to right

Left                             Right

1. 23a+18                         1. 7a-6

2. 23a-6                           2. 7a-18

3.  23a-18                             3. 7a+6

4. 0a+4                               4. 0a+0

Step-by-step explanation:

The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3

Answer is 15a+6+8a+12=

23a+18

Hope this helped :)

Answer:

128.2

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:

[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]

Answer:

huh

Step-by-step explanation:

Step-by-step explanation:

From the original question, we can rewrite this as:

An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. The total selling price for one new row is f(r) = 4,000r. Each row in first class eliminates a pair of rows of economy seats. The total price for each pair of removed rows is e(r) = 1,800r. Which is d(r), the profit or loss for adding r rows of first class seats?

f(r) = 4000r

e(r) = 1800r

d(r) = ? (profit or loss)

Assuming we had added a row of first class seats,

+ f(r) = 4000r

But we had to remove a pair or rows from the economy seats,

- e(r) = 1800r

Translating these into one equation:

d(r) = f(r) - e(r) = 4000r - 1800r = 2200r

Therefore, OPTION A.) d(r) = 2200r

The value of d(r) will be 2200r. The correct option is A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Assuming we had added a row of first-class seats,

+ f(r) = 4000r

But we had to remove a pair or rows from the economy seats,

- e(r) = 1800r

Translating these into one equation:

d(r) = f(r) - e(r) = 4000r - 1800r = 2200r

Therefore, the value of d(r) will be 2200r. The correct option is A.

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Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

We have;

x^2 + 10x = 13 - 22

x^2 + 10x = -9

Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

(x + 5)^2 = (5 - 3)^2

Answer:42

Step-by-step explanation:

16+16+10

Answer:

Step-by-step explanation:

So it is 3 by 7 rectangle and diagonal

FE=3 EH=7 so FH=6

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance ran by Rebecca be D = 21 miles

The time taken by her to travel 21 miles T = 5 hours

So , the speed of Rebecca S = D / T

On simplifying , we get

S = 21/5

S = 4.2 miles per hour

Therefore , the speed of Rebecca is 4.2 miles / hour

Now , let the time taken be T₂ = 2 hours

So , the distance traveled in 2 hours , D = ST₂

D = 4.2 x 2

D = 8.4 miles

Hence , the distance traveled is 8.4 miles

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Answer:

78 i believe

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Divide 27 by 100 and you will see it equals 0.27

knowing this made me realize that the unknown number must be the fraction form of 0.78

Answer:

21.7

Step-by-step explanation:

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

21.7

Step-by-step explanation:  

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

70+5+0.8+0.05+0.004

Step-by-step explanation:

Answer:

2 x 25 (50)

3 x 25 (75)

Step-by-step explanation:

Answer:

x = 3

y = 60°

Step-by-step explanation:

The given parameters of the figures are;

The sum of the interior angles of each polygon (quadrilaterals) = 360°

Quadrilateral ABCD = Quadrilateral HGEF

∴ ABCD ≅ HGEF

Therefore;

Segment AB ≅ Segment HG, by Corresponding Sides of congruent polygons are congruent

∴ The length of segment AB = 3 ft. = The length of segment HG = x ft.

∴ 3 ft. = x ft.

x = 3

Similarly, we have;

∠A + ∠B + ∠C + ∠D = 360° Given

∠B = 100°, and ∠D = 70° Given

∴ ∠A + ∠C = 360° - (∠B + ∠D) = 360° - (100° + 70°) = 190°

∠A + ∠C = 190°

∠A ≅ ∠G and ∠C ≅ ∠E Corresponding angles of congruent polygons are congruent

∴ ∠A = ∠G and ∠C = ∠E By definition of congruency

∴ ∠A + ∠C = ∠G + ∠E = 190° by transitive property

∠G = (2·y + 2)°, and ∠E = (y + 8)° Given

∴ ∠G + ∠E = (2·y + 2)° + (y + 8)° = (3·y + 10)° = 190°

3·y = 190° - 10° = 180°

y = 180°/3 = 60°

y = 60°

The value of x and y are 3 feet and 72 degrees respectively

From the given quadrilaterals, the sum of adjacent angles is 180 degrees.

Hence from figure;

y + 8 + 100 = 180

y + 108 = 180

y = 180 - 108

y = 72degrees

Similarly;

m<D = mG = 70 degrees.

AB = GH = 3 feet

Hence the value of x and y are 3 feet and 72 degrees respectively

Learn more on Angle in a quadrilateral here: https://brainly.com/question/10975107

Answer:

9.5 14.5 and 4.5

Step-by-step explanation:

That’s correct

Answer:3p=42 (p=14)

Step-by-step explanation:

Since there are 3 cookies in each pack you would need to divide.

Answer:

Idont know

Step-by-step explanation:

Answer:

ur answer is b

Step-by-step explanation:

ur welcome