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anygoal [31]
3 years ago
12

A family ordered some candy bars and bags of chips for snacking. The number of candy bars was twice as much as the number of bag

s of chips. If the family spent a total of $5.50, how many bags of chips did the family buy?
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

The family bought approximately 2 bags of chips.

Step-by-step explanation:

Given:

Total spent by family = $5.50

We need to find bags of chips did the family buy.

Solution:

Let number of bags of chips bought be 'x'.

Also Given:

The number of candy bars was twice as much as the number of bags of chips.

number of candy bars = 2x

Now we can say that;

Total spent by family is equal to sum of the number of bags of chips bought and number of candy bars.

framing in equation form we get;

x+2x=5.5\\\\3x=5.5

Dividing both side by 3 we get;

\frac{3x}{3}=\frac{5.5}{3}\\\\x=1.83\approx2

Hence the family bought approximately 2 bags of chips.

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3. The rectangle below has an area of 297 in. Find the length of the diagonal.
saul85 [17]

9514 1404 393

Answer:

  29.15 in

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can find the missing side length.

  297 in² = (27 in)h

  h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

  d² = 27² + 11² = 729 +121 = 850

  d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.

7 0
3 years ago
Which of the following systems of inequalities has point C as a solution?
Ede4ka [16]

Answer: A

Step-by-step explanation:

C lies below g(x) and f(x), so we need f(x) \leq 3x+4 and g(x) \leq -\frac{1}{2}x-5.

5 0
2 years ago
Help please!!
Pavel [41]

Answer:

1. Left side = 3 inches, Bottom side = 4 inches, Right side = 2 inches, Top side = 5 inches

2.  A = 6 inches²

3.  A = 8 inches²

4.  A = 10 inches²

5.  A = 12 inches²

6.  A = 36 inches²

7. Left side = 5 cm, Bottom side = 12 cm, Right side = 4 cm, Top side = 13 cm

8. A = 180 cm²

Step-by-step explanation:

1. Label the dimensions of the prism:

Left side = 3 inches

Bottom side = 4 inches

Right side = 2 inches

Top side = 5 inches

2. Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 3 x 2

A = 6 inches²

3. Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 4 x 2

A = 8 inches²

4. Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 2

A = 10 inches²

5. (They gave the formula of the two triangles, but the question said green rectangle?  They must've meant yellow triangles)

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 3 x 4)

A = 2(1/2 12)

A = 2(6)

A = 12 inches²

6. Total surface area of the triangular prism:

Formula:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 6 inches² + 8 inches² + 10 inches² + 12 inches²

A = 36 inches²

7. Label the dimensions of the prism:

Left side = 5 cm

Bottom side = 12 cm

Right side = 4 cm

Top side = 13 cm

8. Total surface area of the triangular prism:

First, we can find the area of each shape, as we had previously to find the total area of the net and the surface area of the triangular prism.

Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 4

A = 20 cm²

Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 12 x 4

A = 48 cm²

Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 13 x 4

A = 52 cm²

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 5 x 12)

A = 2(1/2 60)

A = 2(30)

A = 60 cm²

Total surface area of the triangular prism:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 20 cm² + 48 cm² + 52 cm² + 60 cm²

A = 180 cm²

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2 years ago
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marishachu [46]

Answer:   B

Step-by-step explanation:

y = mx + mc

The perpendicular will have slope -1/m and intercept mc, which is

y = (-1/m)x + mc

For the answers you have to factor out a -1/m from both terms:

$y = -\frac 1m x + mc \cdot -m \cdot -\frac 1m$\\

$y = -\frac 1m (x + mc \cdot -m)$

$\boxed{\;\textbf{(B)}\ \,y = -\frac 1m (x - m^2 c)\;}$

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2 years ago
What does it mean to say that polynomials form a system analogous to integers
HACTEHA [7]

Answer:

Perform arithmetic operations on polynomials.

Step-by-step explanation:Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

7 0
2 years ago
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