All categories

1 year ago

Two consecutive positive integers have a product of 30. what are the integers?

Mathematics

1 answer:

lys-0071 [83]1 year ago

8 0

The two consecutive integers are 5 and 6

<h3>How to find integers in an expression?</h3>

let

the first integer = x

second integer = x + 1

Therefore,

x(x + 1) = 30

x² + x = 30

x² + x - 30 = 0

(x - 5)(x + 6) = 0

Therefore,

x = 5 and x = -6

Hence, let's use 5 because it's positive.

So, the numbers are 5 and 6

learn more on integers here: brainly.com/question/16600853

#SPJ1

You might be interested in

A proportional relationship is a linear relationship because the rate of change is constant(and equal to the constant of proport

Sophie [7]

The thing that is required for a <span>proportional relationship would be that no matter what the order of the relationship is, it should be that if the function of x increases then x would increases as well or vice versa. Hope this helps. Have a nice day. Feel free to ask more questions. </span>

7 0

2 years ago

Read 2 more answers

if the height of the cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm.

Marrrta [24]

Answer:

$\large\boxed{H=135\ cm}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have the radius r = 12cm and the height H = 20cm. Substitute:

$V=\pi(12^2)(20)=\pi(144)(20)=2880\pi\ cm^3$

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have the radius r = 8cm and the volume V = 2880πcm³. Substitute:

$\dfrac{1}{3}\pi(8^2)H=2880\pi\qquad\text{divide both sides by}\ \pi\\\\\dfrac{1}{3}(64)H=2880\qquad\text{multiply both sides by 3}\\\\64H=8640\qquad\text{divide both sides by 64}\\\\H=135\ cm$

7 0

3 years ago

Evaluate this math equation please

sergejj [24]

Answer:

Step-by-step explanation:

Plug in the numbers & solve for 5x, eventually eliminating the 5 to solve for x, which the variable should be on the left side, always.

4 0

2 years ago

Read 2 more answers

Identify each of the following variables as qualitative or quantitative. a. Favorite baby name b. Color of car c. Storage space

Evgesh-ka [11]

Answer:

C. Favorite baby name is a qualitative variable. Its values are not numerical.

Color of car is a qualitative variable. Its values are not numerical.

Storage space on a computer drive is a quantitative variable. Its values are numerical.

Electrical current is a quantitative variable. Its values are numerical.

Step-by-step explanation:

A qualitative variable is a variable that is categorical and isn't numerical.

For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale

Quantitative Variable are variables that can be measured on a numeric scale. Ordinal, interval and ratio scales are quantitative scales.

Storage space can be measured on a numeric scale e.g. the storage space has 400 GB

Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts

6 0

3 years ago

What are the solutions of this quadratic equation? 2^2=16x-65

Karo-lina-s [1.5K]

Answer:

x= 4.3125

Step-by-step explanation:

2^2 = 16x - 65

4= 16x- 65

+65 +65

69 = 16x

69/16 =16x/16

4.3125 = x

8 0

2 years ago