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2 years ago

What two numbers add up to 18 and multiply to 80

Mathematics

1 answer:

mestny [16]2 years ago

4 0

Answer:

8 and 10

Step-by-step explanation:

First, let's look at the factors of 80.

1 • 80 = 80

2 • 40 = 80

4 • 20 = 80

5 • 16 = 80

8 • 10 = 80

Look at each pair and evaluate their sum.

1 • 80 = 80

1 + 80 = 81

2 • 40 = 80

2 + 40 = 42

4 • 20 = 80

4 + 20 = 24

5 • 16 = 80

5 + 16 = 21

8 • 10 = 80

8 + 10 = 18

Our last pairing multiplies to 80 and adds up to 18. Therefore, your answer is 8 & 10.

Hope this helps!

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Valentin [98]

9514 1404 393

Answer:

A. -1 ≤ x ≤ 3

Step-by-step explanation:

The range is the horizontal extent of the graph--the set of x-values for which the function is defined. Here, the graph extends from x = -1 to x = 3, with both end points included. The range is ...

-1 ≤ x ≤ 3

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2 years ago

Mary French uses gas to heat her home. She has accumulated the following information regarding her monthly gas bill and monthly

garik1379 [7]

Answer:

$Y=$24+0.09X$

Step-by-step explanation:

From the question we are told that

February Heat $H_1=1900\textdegree$

February Gas $G_1 =\$195$

April Heat $H_2=600\textdegree$

April Gas $G_2=\$78$

Generally equation for heating degree-days X is mathematically given by

$X=\frac{\triangle gas\ bills}{\triangle Heating\ days}$

$X=\frac{195-78}{1900-600}$

$X=\$ 0.09$

Generally the equation for gas bill Y is mathematically represented by

$Y=78-(600*0.09)\\Y=\$24$

The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is

$Y=$24+0.09X$

7 0

3 years ago

Which is the net force acting on a 1.7-kg object that is accelerating at 5.0 m/s??

Schach [20]

Answer:

A. 8.5 N

Step-by-step explanation: F = 8.5 N

4 0

2 years ago

A researcher is interested in estimating the mean weight of a semi trailer truck to determine the potential load capacity. She t

Kaylis [27]

Answer: 95% confidence interval = 20,000 ± 2.12 $\times$ $\frac{1500}{\sqrt{17} }$

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

Step-by-step explanation:

Given :

Sample size(n) = 17

Sample mean = 20000

Sample standard deviation = 1,500

5% confidence

∴ $\frac{\alpha}{2}$ = 0.025

Degree of freedom ( $d_{f}$ ) = n-1 = 16

∵ Critical value at ( 0.025 , 16 ) = 2.12

∴ 95% confidence interval = mean ± $Z_{c}$ $\times$ $\frac{\sigma}{\sqrt{n} }$

Critical value at 95% confidence interval = 20,000 ± 2.12 $\times$ $\frac{1500}{\sqrt{17} }$

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

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3 years ago

Use Cramers Rule to solve the system <br> 2x - 3y = 11<br> -6x + 8y = 34

Nastasia [14]

Step-by-step explanation:

given :

2x - 3y = 11

-6x + 8y = 34

find : the solutions of the system by using Cramers Rule.

solutions:

in the matrix 2x2 form =>

[ 2 -3] [x] [11]

[-6 8] [ y] [34]

D =

| 2 -3 |

|-6 8 |

= 8×2 - (-3) (-6)

= 16-18 = -2

Dx = | 11 -3 |

| 34 8 |

= 11×8 - (-3) (34)

= 88 + 102

= 190

Dy = | 2 11 |

|-6 34 |

= 2×34 - (-6) (11)

= 68 + 66

= 134

x = Dx/D = 190/-2 = -95

y = Dy/D = 134/-2 = -67

the solutions = {-95, -67}

8 0

2 years ago

Read 2 more answers