Answer:
Word/phrase : Equation
Equation:4x + 2 = $30
He can afford to buy 7 books without spending more than his gift certificate amount
Step-by-step explanation:
Step 1
We find the equation
Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2.
Hence,
$4 × x + $2 = $30
Where x = number of books that he can buy
4x + 2 = $30
Step 2
We solve for x
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/4
x = 7
Hence, Brett can buy 7 books
Equation: 4x + 2 = $30
Word/phrase : Equation
He can afford to buy 7 books without spending more than his gift certificate amount
7 is the value of x, and 64° is the measure of the unknown angle.
Triangle angles of 76°, (9x+1)°, and 40° are provided.
According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.
One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.
Now, the total of a triangle's three angles equals
76°+(9x+1)°+40°= 180°
⇒ 116+9x+1 = 180
⇒ 9x + 117 = 180
⇒ 9x = 63
⇒ x = 7
So, 9x+1=64°
As a result, x is equal to 7 and the unmeasured angle is 64°.
To learn more about the angle sum property of a triangle, refer to this link:
brainly.com/question/8492819
#SPJ1
10x + 2y = -2
2y = -10x -2
y = -5x - 1 (slope is -5 and a parallel line will have the same slope)
y = mx + b
slope(m) = -5
12 = -5(0) + b
12 = 0 + b
12 = b
so the parallel line is y = -5x + 12
hope this helps, God bless!
Answer:
(0,-2) and (1, 1)
Step-by-step explanation:
Answer: See explanation
Step-by-step explanation:
Let the cost for insuring the applicant = a.
Let the cost for insuring the spouse = b
Let the cost for insuring the first child= c
Let the cost for insuring the second child = d
A 35-year-old health insurance plan and that of his or her spouse costs $301 per month. This means that:
a + b = $301.
That rate increased to $430 per month if a child were included. This means the cost of a child will be:
= $430 - $301
= $129
The rate increased to $538 per month if two children were included. This means the cost for the second child will be:
= $538 - $430
= $108
The rate dropped to $269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:
a + $129 = $269
a = $269 - $129
a = $140
Since a + b = $301
$140 + b = $301
b = $301 - $140
b = $161
Applicant = $140
The spouse = $161
The first child = $129
The second child = $108
