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2 years ago

What is the product?

Mathematics

2 answers:

mrs_skeptik [129]2 years ago

6 0

(2x-3)(4x+5)
2x(4x+5)-3(4x+5)
8x^2 + 10x - 3(4x+5)
8x^2 + 10x - 12x - 15
8x^2 - 2x - 15

sweet-ann [11.9K]2 years ago

4 0

Answer:

Step-by-step explanation:

(2x-3)(4x+5)

=2x(4x+5)-3(4x+5)

=8x^2+10x-12x-15

=8x^2-2x-15

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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an

Mkey [24]

Answer:

120 pens and 200 pencils.

Explanation:

You can set a system of two equations.

1. Variables

x: number of pens
y: number of pencils

2. Cost

each pen costs $1, then x pens costs: x
each pencil costs $0.5, then y pencil costs: 0.5y

Then, the total cost is: x + 0.5y

The cost of the whole purchase was $ 220, then the first equation is:

x + 0.5y = 220 ↔ equation (1)

3. There were 80 more pencils than pens

Then:

pencils = 80 + pens

↓ ↓

y = 80 + x ↔ equation (2)

4. Solve the system

i) Substitute the equation (2) into the equation (1):

x + 0.5(80 + x) = 220

ii) Solve

x + 40 + 0.5x = 220

1.5x = 180

x = 180/1.5

x = 120 pens

iii) Substitute x = 120 into the equation (2)

y = 80 + 120

y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

6 0

2 years ago

The Big Men retailer reduced the price of its $350.00 sport coats by 30%. Calculate the new price?

egoroff_w [7]

New price would be $245.

5 0

2 years ago

Read 2 more answers

Y=1/2x-3 and 9x-2y=-74 substitution

Luba_88 [7]

x=2(y+3)x=92(y−37)

5 0

2 years ago

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0.2.0.4, 0.6, 0.8, 1.... Arithmetic or geometric

Basile [38]

Arithmetic sequences have a common difference between consecutive terms.

Geometric sequences have a common ratio between consecutive terms.

Let's compute the differences and ratios between consecutive terms:

Differences:

$0.4-0.2 = 0.2,\quad 0.6-0.4=0.2,\quad 0.8-0.6=0.2,\quad 1-0.8=0.2$

Ratios:

$\dfrac{0.4}{0.2}=2,\quad \dfrac{0.6}{0.4} = 1.5,\quad \dfrac{0.8}{0.6} = 1.33\ldots, \quad\dfrac{1}{0.8}=1.25$

So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.

So, this is an arithmetic sequence.

3 0

2 years ago

Which similarity statement is true?

stepan [7]

9514 1404 393

Answer:

(a) ΔWZY ~ ΔWXZ ~ ΔZXY

Step-by-step explanation:

In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.

A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).

ΔWXZ lists sides in order short leg (WX), long leg (XZ).

ΔZXY lists sides in order short leg (ZX), long leg (XY).

The first similarity statement is correct.

You can compare this to an incorrect one, the last one, for example.

ΔYZW lists sides in order long leg (YZ), short leg (ZW).

ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.

6 0

2 years ago