What is the solution to the linear equation?

4b + 6 = 2 – b + 4

b = –2
b = 0
b = 4
b = 6

Answer:

After 7 months, the girls will have the same amount in their accounts. They will have 175.

Step-by-step explanation:

Maria:

Starts with $105

Adds $10 each month

Jana Rae:

Starts with $0

Adds $25 each month

Set up an equation for both Maria and Jana.

m will represent the number of months.

Maria: 105 + 10m

Jana: 0 + 25m

You can do guess and check.

Let’s say m is equal to 6.

Subsitute m with 6 for both equations and check if they both end up having the same answer.

Maria: 105 + 10(6) = 165

Jana: 0 + 25(6) = 150

Is 165 and 150 equivalent? No

Let’s try m = 7 and do that same thing.

Maria: 105 + 10(7) = 175

Jana: 0 + 25(7) = 175

Now is the answer equal? Yes

So therefore, after 7 months, the girls will have the same amount in their accounts. They will have 175.

Hope this helps! Pls mark me brainliest! (only if u want, I won’t mind if u don’t)

Answer:

f(-4)=3(-4)+7=0

f(2)=3(2)+7=13

Answer:

Step-by-step explanation:

f(x) = 3 x+7

f(x) = 3 x + 7

f(-4) = 3*-4 + 7

f(-4) = -12 + 7

f(-4) = -5

f(x) = 3 x + 7

f(2) = 3*2+7

f(2) = 6 + 7

f(2) = 13.

:f(-4) =-5 , f(2) =13

Answer:

The measure of the angle ∠ABC is 108°

Step-by-step explanation:

An isosceles triangle has two equal sides and two equal angles

In this problem

∠BDA=∠BAD= 66° ----> the angles of the base are equals

Find the measure of the vertex angle

∠ABD = 180° - 2×66° = 48° (the sum of the internal angles of a triangle is                                              equal to 180°)

then. Find the measure of the angle  ∠CBD in the equilateral triangle we know that

The measure of the internal angle in a equilateral triangle is 60° so

∠CBD= 60°

Then find the measure of the angle ∠ABC

∠ABC=∠ABD+∠DBC

substitute the values

∠ABC= 48°+60° = 108°

The answer is 108°

The measure of the angle ∠ABC is 108°

Answer:

108 degrees

Step-by-step explanation:

Hi there!

1. Determine the measure of angle DBC

2. Determine the measure of angle ABD

3. Add them to determine the measure of angle ABC

We're given that triangle ABD is isosceles and triangle BCD is equilateral.

Because BCD is an equilateral triangle, all of its interior angles at 60 degrees.

Therefore, the measure of angle DBC is 60 degrees.

Triangle ABD is isosceles, so therefore, angle ADB is also 66 degrees.

The sum of the interior angles of a triangle is 180 degrees. Therefore, the measure of angle ABD is 180-66-66, which is 48 degrees.

To find ABC, add 60 and 48:

60+48 = 108

Therefore, angle ABC measures 108 degrees.

I hope this helps!

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; H. The graph of g(x) is translated unit(s) up compared to graph

of f(x).

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

Learn more here:

https://brainly.com/question/15938361

Answer:

[tex]x > 3[/tex]

Step-by-step explanation:

[tex] \frac{1}{3} (3x + 6) + 5x > 20 \\ x + 2 + 5x > 20 \\ 6x + 2 > 20 \\ 6x > 18 \\ x > 3[/tex]

Answer:

Hint: Use the Angle Addition Theorem and the fact that a line is made up of two opposite rays. Given: m∠1 = 62° and lines t and l intersect

Step-by-step explanation:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement                                        Reason

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Hence proved

Answer:

[tex]{ \rm{2(7 - v) - 3v}}[/tex]

• Apply distribution property

[tex]{ \rm{ = 14 - 2v - 3v}}[/tex]

• Simplify:

[tex] = { \rm{14 - 5v}}[/tex]

Answer:

Given, Distributive, Associative, Addition, Simply

Step-by-step explanation:

2(7 - v) - 3v                Given

14 - 2v - 3v                 Distributive

14 + (-2v -3v)               Associative

14 + (5v)                      Addition

14 - 5v                        Simply

Answer:

[tex]a)x = 1 \\ x = - 1 \\ b)x = 1 \\ x = 0 \\ c)x = 3 \\ d)x = 11 \\ x = 2 \\ e)x = 3 \\ x = - 3[/tex]

4 cups of water would need 16 tablespoons of olive oil.

Each cup of water uses 2 2/3  cups of flour, while each cup of flour he uses, Amir needs to use 1 1/2  tablespoons of olive oil. Hence for 4 cups of water:

4 cups of water = 2 2/3  cups of flour × 4 cups = 32/3 cups of flour

32/3 cups of flour = 1 1/2  tablespoons of olive oil * 32/3 = 16 tablespoons of olive oil

4 cups of water would need 16 tablespoons of olive oil.

Find out more at: https://brainly.com/question/17178834

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Work Shown:

[tex]c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\[/tex]

Note: I used the law of cosines. Make sure your calculator is in degree mode.

Answer:

1/5

Step-by-step explanation:

Answer:

B(ans) quotient is negative. When you divide a positive number by a negative number then the quotient is also negative. When you divide two negative numbers then the quotient is positive. The same rules hold true for multiplication

Answer:

b.d-6 that's the correct answer

Answer:

it is a

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Answer:

xy=24

Step-by-step explanation:

x+y=11

x-y=5

x=y+5

y+5+y=11

2y=6

y=3

x=8

xy=24

Answer:

The point (2, -6) is four below the line y= -2

The reflection will be four below the line y=-2.

Since y=-2 is a horizontal line, the reflection will be vertical,

so (2,-6) will reflect down 6 spaces vertically. -6 + (4*2) = (-6 + 8) =  2  therefore when we establish 4 below the line we just apply * 2 as a double as its across the line each side of the line to find that below the line = 4 = 4*2 and add it to -6

(2,-6) reflected over y=-2 reflects to (2, 2 )

Step-by-step explanation:

Answer:

×=-2

Step-by-step explanation:

4×+8=0

4x= -8

therefore;

x= -2

Step-by-step explanation:

here is your answer

hope it will be helpful for you

thanks ☺

Answer:

I have come to claim these points as my own...again, thank you friend.

Step-by-step explanation:

⏁⊑⏃⋏☍ ⊬⍜⎍ ⎎⍜⍀ ⏁⊑⟒ ⌿⍜⟟⋏⏁⌇ ⎅⟒⏃⍀ ⎎⍀⟟⟒⋏⎅, ⟟ ⏃⋔ ⎎⍜⍀⟒⎐⟒⍀ ⟟⋏ ⊬⍜⎍⍀ ⎅⟒⏚⏁.

Answer:

12cm

Step-by-step explanation:

h = 2b + 4

Area = 168 cm²

b = ?

Area = b*h / 2

168 = b (2b + 4) / 2

168 = 2b² + 4b/ 2

168 = b² + 2b

b² + 2b - 168 = 0

(b + 14) (b - 12) = 0

b = -14

b = 12

The base of a triangle cannot be -ve. So b = 12cm

Answer:

4 tickets

Step-by-step explanation:

1 ticket is $3.25

2 ticket is $6.5

3 ticket is $9.75

4 ticket is $13

5 tickets is over and makes $16.25

Step-by-step explanation:

[tex] \\ 43 \: thousandths \: as \: decimal \: \ \\ = 0.043 \: [/tex]

Step-by-step explanation:

[tex]forty \: three \: thousandths \: \\ one \: thousadths \: = \frac{1}{1000} = 0.001 \\ \\ so \: for \: forty \: three \: thousandths \: \\ = \frac{43}{1000} \\ \\ = 0.043[/tex]

Answer:

Step-by-step explanation:

Slope: 7/1

y-intercept: (0,-4)

Start in the y-intercept (0,-4). Go up 7 and 1 to the right. You only need two points to trace a line.

Its division and fractions i advise calulater soup

86.4

....................

Answer:

Step-by-step explanation:

The given line has a slope of -2.

The perpendicular line will have a negative-reciprocal slope:

Use same point-slope form and the point P(2, 3):

[tex]\\ \sf\longmapsto y-4=-2(x+3)[/tex]

Here slope is -2

m=1/2

Put co-ordinates of P in equation

[tex]\\ \sf\longmapsto y-3=\dfrac{1}{2}(x+2)[/tex]

Answer:

24

Step-by-step explanation:

all 3 corners of any triangle adds to 180

the big triangle gives you 94 and 41 which equals 135. even though there's a line cutting off the last corner it still counts towards the 180 of the big triangle

180 - 135 = 45

now you know 2 corners of the smaller triangle

111+45 = 156

156+x= 180

x= 24

Answer:

$1,875

Step-by-step explanation:

Interest = Principal x Rate x Time

Principal = amount of money borrowed

I = $300

r = 16% or .16

t = 1 (year)

300 = .16P

300/.16 = P

P = $1,875