Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minutes. How fast is Brandon driving?

If you add up all the monthly incomes, you get 1590. If you divide 1590 by 6 (the number of the months), then you get the answer: $265.

Edit: my bad, I read the question wrong, the answer is $254.17

Answer:

X=0,5,8

Step-by-step explanation:

2.50 * 2.7 = $6.75 total

10.00 - 6.75 = $3.25 change back

The solution of the inequality 3q + 11 + 8q < 99 is q < 8.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.  Therefore, the inequalities can be solved as follows:

3q + 11 + 8q < 99

combine like terms

3q + 11 + 8q < 99

3q + 8q + 11 < 99

11q + 11 < 99

subtract 11 from both sides of the inequalities

11q + 11 < 99

11q + 11  - 11 < 99 - 11

11q < 88

divide both sides of the inequalities by 11

11q / 11 < 88 / 11

q < 8

Therefore,

q < 88

learn more on inequalities here: https://brainly.com/question/17086294

#SPJ1

The value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

Given is a function, f(x) =24-2x, we need to find f(2) and value of x for which function's value is 10,

For f(2), put x = 2

f(2) = 24-2(2)

= 24-4

= 20

Therefore,

f(2) = 20

For f(x) =10

Set the function equal to 10,

24-2x = 10

-2x = -14

2x = 14

x = 7

Hence, the value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7

Learn more about function, click;

https://brainly.com/question/12431044

#SPJ2

Answer:

The number 7 is prime becuase it has only 2 factors: 1 and itself.

Step-by-step explanation:

I hope it helps:)

From the figure,

JHGF is a parallelogram.

From the properties of parallelogram,

∠ F = ∠ H (opposite angles are equal)

FG = JH (opposite sides are equal)

Also, note that FG || JH and JG is a transversal.

Therefore,

∠ FGJ = ∠ GJH (Alternate interior angles are equal)

Now, in Δ FGJ and Δ GJH,

FG = JH

∠ F = ∠ H and

∠ FGJ = ∠ GJH

Hence, the triangles are congruent by AAS Congruence Theorem.

The triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex] are congruent by [tex]\fbox{\begin\\\ \bf {AAS congruence theorem}\\\end{minispace}}[/tex].

Further explanation:

From the given figure it is observed that there are two triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex] inside the quadrilateral.

Two triangles are said to be congruent if both the triangles have same angles and sides or it can be said that two triangles are congruent if they completely overlap with each other.

The theorems to check the congruency for the two triangles are as follows:

1) SSS congruence theorem:

As per the SSS congruence theorem if all the three sides of the first triangle are equal to all the three sides of the second triangle then the two triangles are called congruent triangles.

2) SAS congruence theorem:

As per the SAS congruence theorem if the two sides of first triangle are equal to the two sides of the second triangle and the including angles are equal then the two triangles are called congruent triangles.

3) AAS congruence rule:

As per the AAS congruence theorem if the two angles of first triangle are equal to the two angles of the second triangle and the similarly located sides are equal then the two triangles are called congruent triangles.

4) HL congruence rule:

As per the HL congruence theorem if the hypotenuse and the one other side of a triangle is equal to the hypotenuse and the corresponding other side of the second triangle then the two triangles are called congruent triangles.

From the given figure it is observed that [tex]\angle \text{GJH}[/tex] is equal to the [tex]\angle \text{JGF}[/tex], [tex]\angle \text{GHJ}[/tex] is equal to the [tex]\angle \text{GFJ}[/tex] and the side JG is the common side for [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].

From figure 1 (attached in the end) it is observed that the [tex]\angle \text{GJH}[/tex] and the [tex]\angle \text{JGF}[/tex] lies on same side, [tex]\angle \text{GHJ}[/tex] and the [tex]\angle \text{GFJ}[/tex] lies on the same side and the side JG is common for the [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].  

For triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].  

[tex]\fbox{\begin\\\ \begin{aligned}\angle\text{GJH}&=\angle\text{JGF}\\ \angle\text{GHJ}&=\angle\text{GFJ}\\ \text{JG}&=\text{JG}\end{aligned}\\\end{minispace}}[/tex]

So, as per the concept of AAS congruence theorem the two triangles [tex]\triangle\text{FJG}[/tex] and [tex]\triangle\text{JHG}[/tex] are the congruent triangles.

Therefore, the theorem according to which the triangles [tex]\triangle\text{FJG}[/tex] and [tex]\triangle\text{JHG}[/tex] are congruent is [tex]\fbox{\begin\\\ \bf {AAS congruence theorem}\\\end{minispace}}[/tex].

Learn more:  

1. A problem to complete the square of quadratic function https://brainly.com/question/12992613

2. A problem to determine the slope intercept form of a line https://brainly.com/question/1473992

3. Inverse function https://brainly.com/question/1632445

Answer details  

Grade: Middle school  

Subject: Mathematics

Chapter: Congruency

Keywords: Congruency, congruent, congruent triangles, AAS, SSS, SAS, HL, angles, sides, quadrilateral, theorem, postulate, geometry, mathematics, hypotenuse.

Answer:1

10x2

Step-by-step explanation:

The answers are:

(1, 1) and (0,2)

Please rate and thank : )

Will you still give brainliest please?

A line contains the points (82,−96) and (87,−86)

To find slope of a line we use formula

We are given with two points (x1,y1) and (x2,y2)

x1= 82, y1=-96, x2=87, y2=-86

plug in all the values in the formula

[tex]slope =\frac{ (y_2-y_1)}{x_2 - x_1}[/tex]

[tex]slope =\frac{ (-86-(-96))}{87-82}[/tex]

[tex]slope =\frac{ (10)}{5}=2[/tex]

Slope of the line = 2