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Lena [83]
2 years ago
3

Find a pair of numbers whose sum and product are both equal to 26.26. (Use symbolic notation and fractions where needed. Give yo

ur answer in the form of a comma separated list.) The numbers are ___ help (fractions)
Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

Answer:

24.9582, 1.0417

Step-by-step explanation:

Let a and b be the pair of numbers in question, if their sum and product are both equal to 26, then:

a+b=26\\a*b=26\\a=26-b\\(26-b)*b=26\\b^2-26b+26 = 0\\b=\frac{26\pm \sqrt{26^2-(4*1*26)}}{2}\\b_1=1.0417\\b_2=24.9583\\\\a_1 =26-b_1 = 24.9583\\a_2 =26-b_2 = 1.0417\\

The numbers are 24.9582, 1.0417.

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Erica earned a total of $50,450 last year from her two jobs. The amount she earned from her job at the store was $1,250 more tha
Mariana [72]

Erica earned a total of $50,450 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than four times the amount she earned from her job at the college.

Lets x be the amount she earned from here job at college

amount she earned at the store = 4 * amount earned at college + 1250

= 4x + 1250

Amount earned at college + amount earned at store = 50450

x + 4x + 1250 = 50450

5x + 1250 = 50450

Subtract 1250 from both sides

5x = 49200 (divide by 5)

x = 9840

she earn $9840 from her job at the college

5 0
2 years ago
Sandy is ordering bread rolls for her party. She wants 3/5 of the rolls to be whole wheat. What other fractions can represent th
Vsevolod [243]
9/15 rolls would be wheat
7 0
2 years ago
Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%
ladessa [460]

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

a = 10000

d = 300

Therefore, the sum of the first 4 terms, S4 would be

S4 = 4/2[10000 × 2 + (4 - 1)300]

S4 = 2[20000 + (3)300]

S4 = 2 × 20900

S4 = 41800 vehicles

6 0
2 years ago
Which will result in a difference of squares? (negative 7 x + 4)(negative 7 x + 4) (negative 7 x + 4)(4 minus 7 x) (negative 7 x
nevsk [136]

Answer:

(negative 7 x + 4)(negative 7 x minus 4)

Step-by-step explanation:

Consider two real numbers a and b. A difference of squares involving a and b is usually given as;

a^{2}-b^{2}

The difference of the two squares above can be factored to yield;

(a-b)(a+b)

This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.

The expression;

(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)

( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)

Expanding the last expression yields;

-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares

3 0
2 years ago
Read 2 more answers
How close are a meter and a yard? Convert, 1 meter into yards by using the fact that there are 100 centimeters in a meter, 2.54
Sveta_85 [38]

Answer:

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

1 m = 100 cm

1 inches = 2.54 cm

1 ft = 12 inches and

1 yard = 3 ft

1 ft = 12 inches

3 ft = 3 \times 12 = 36 inches

Since,

1 inches  = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm = \frac{1}{100} m

then;

91.44 cm = \frac{91.44}{100} =0.9144 m

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = \frac{1}{0.9144} = 1.0936133 yards.

Therefore, the answer is, 1 m =  1.1 yards (nearest to tenth)


5 0
2 years ago
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