Answer:
2<em>x </em>+ 7 = 25
<em>x </em>= 7
Step-by-step explanation:
Gary: 25
Sean: <em>x</em>
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Let's break down the sentence into mathematical terms
Gary <u>is</u> 25 years old. That <u>is</u> 7 more than twice <u>Sean's age.</u>
In math, is means equal to. It is represented with an equal sign (=)
Gary = 25. 25 = 7 more than twice <u>Sean's age.</u>
7 more is represented by 7 +
Gary = 25. 25 = 7 + than twice <u>Sean's age.</u>
Twice means double which is 2 ·
Gary = 25. 25 = 7 + 2 · <u>Sean's Age</u>
<u>Sean's Age</u> will be represented by <em>x</em>
Gary = 25. 25 = 7 + 2<em>x</em>
We don't need it to say<em> "Gary = 25" </em>in our equation.
25 = 7 + 2<em>x</em>
Let's rewrite it with the associative property.
2<em>x </em>+ 7 = 25
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Now, solve
2<em>x </em>+ 7 = 25
<em>-7 -7</em>
2<em>x</em> = 18
<em>÷</em><em>2 </em><em>÷</em><em>2</em>
<em>x </em>= 7
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Sean is 7 years old.
The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:
Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Answer:
45 lbs of 90 cent candies and 5 lbs of 40 cent candies
Step-by-step explanation:
The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The area of kite = (product of diagonals)/2
Area of kite = (10 * 14) / 2 = 70 in²
The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².
Find out more on equation at: brainly.com/question/2972832
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Answer:
b = 17
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Step-by-step explanation:
- The sum of the three angles shown is a linear angle, with a measure of 180°.
This fact can be used to write an equation:
(8b -12)° +b° +(2b+5)° = 180°
11b -7 = 180
11b = 187
b = 17
8b -12 = 8(17) -12 = 124
2b +5 = 2(17) +5 = 39
The value of b is 17.
The angle measures are ...
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
