Four times the larger of two numbers is equal to seven times the smaller the sum of the numbers is 22 find the numbers

Mathematics

1 answer:

Alexus [3.1K]3 years ago

4 0

Answer:

8 and 14

Step-by-step explanation:

X + Y = 22

X= 22-Y

4X= 7Y

4(22-Y) = 7Y

88-4Y=7Y

88= 11Y

8=Y

X= 22-Y= 22-8=14

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PLZZZ ANSWERR ASAPP TYYY

oksano4ka [1.4K]

Answer:

Smaller=18 degrees; larger= 162 degrees

Step-by-step explanation:

ok so first supplementary angles mean that the two angles added together will equal 180 degrees.

so 1x + 9x = 180 (combine like terms)

10x=180 (divide each side by 10)

x=18

so the smaller angle is 18 because its only 1x, and the larger angle is 162 because 18x9=162

check: 18 + 162 = 180

5 0

2 years ago

Some integers are irrational numbers true or false please explain

Agata [3.3K]

False, all integers are rational because they can be expressed as a fraction. Like -4 is a rational number because it can be -4/1. All integers are rational.

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3 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .