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3 years ago

Twice a number minus 25 is less than 89. Translate it into an inequality and find the solution

Mathematics

1 answer:

Dahasolnce [82]3 years ago

6 0

Answer:

2x-25<89

x<57

Step-by-step explanation:

2x-25<89

2x<89+25

2x<114

Divide by 2...

x<57

Hope this helped! Please mark brainliest :)

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Use the digits 5,4 and 8 once each to write an odd number greater than seven hundred

natali 33 [55]

845 because 800 is greater than 700 and 845 is an odd number because it ends in 5 (which is an odd number).

4 0

3 years ago

Two bicycle wheels are shown below which is closest to the circumference in inches of the larger wheel.

olganol [36]

We estimate the diameter of the larger wheel to be 24 to 25 inches.

The formula for the Circ. of a circle in terms of the diameter is C = pi*d.

Here, the Circ. of the larger wheel is approx C = pi(24 inches) = 24*pi inches,
or

24(3.14) inches = 75.36 inches. You must now choose from the four answer choices. Which one is closes to 75.36 inches?

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3 years ago

1. tan a = cot(a + 10°)

Temka [501]

Answer:

$a=40+90n$

Step-by-step explanation:

Use a cofunction identity on the right hand side or left hand side...

So $\tan(a)=\cot(90-a)$ .

We have the equation:

$\tan(a)=\cot(a+10)$

Make the above replacement:

$\cot(90-a)=\cot(a+10)$

Since cotangent has period 180 degrees, we can also write this as:

$\cot(90-a+180n)=\cot(a+10)$

So solving the following will give us a set of solutions for $a$ :

$90-a+180n=a+10$

Add $a$ on both sides:

$90+180n=2a+10$

Subtract 10 on both sides:

$80+180n=2a$

Divide both sides by 2:

$40+90n=a$

Symmetric property:

$a=40+90n$

7 0

3 years ago

Find the missing value of the ordered triple that will make the solution to the equation x + 2y – 3z = 8 true.

erica [24]

The missing value of the ordered triple for questions 7,8,9 and 10 will be y=2,x=6,z=0, and z=-5 respectively.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation in the problem is;

7) (4, ,0)

Substitute the values in the equation;

⇒x+2y-3z = 8,

⇒4+2y-3(0) = 8

⇒2y=8-4

⇒2y=4,

⇒y=4/2

⇒y=2

8) (, -2, -2)

Substitute the values in the equation;

x+2(-2) -3(-2)= 8

x-4+6 =8

x= 8-6+4

x=8-6+4

x=6

9)(2, 3, )

Substitute the values in the equation;

⇒2+2(3)-3z = 8

⇒8-3z = 8

⇒-3z = 0

⇒z = 0/-3

⇒z= 0

10) (-3, -2, )

Substitute the values in the equation;

⇒-3+2(-2) -3z = 8

⇒-7 -3z = 8

⇒-3z = 15

⇒z = 15/-3

⇒z = -5

Hence, the missing value of the ordered triple for questions 7,8,9, and 10 will be y=2,x=6,z=0, and z=-5 respectively.

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

4 0

2 years ago

The profit P (in dollars) from selling x calculators is P=25x(-10x+ 250). How many calculators are sold when the profit is $425?

Crank

Okay, so this is what I came to. I think that you might need to look through the placement of the problem again and your x's, but other than that, here it is!

Step 1: Simplify both sides of the equation.425=−250x2+6250x

Step 2: Subtract -250x^2+6250x from both sides.425−(−250x2+6250x)=−250x2+6250x−(−250x2+6250x)250x2−6250x+425=0

Step 3: Use quadratic formula with a=250, b=-6250, c=425.x=−b±√b2−4ac2ax=−(−6250)±√(−6250)2−4(250)(425)2(250)x=6250±√38637500500x=252+110√15455 or x=252+−110√15455

Answer:x=252+110√15455 or x=252+−110√15455

6 0

3 years ago