If the second quantity in a rate is not 1, how do you find the unit rate?

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:

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!

Answer:

10

Step-by-step explanation:

Firstly, AM=x+8

or, A=x+8-M......eqn (i)

MB=6x-2

or, B=6x-2-M......eqn (ii)

Now,

from eqn (i) and (ii)

x+8-M=6x-2-M

or, 8+2=6x-x-M+M

or, 10=5x

or, 10÷5=x

therefore, x=2

Again,

MB=6x-2

=6×2-2

=12-2

=10

is it correct

please mark me as BRAINLIEST

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:

[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]

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:

[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

=================================================

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.

The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/π2 .

Answer:

$23.20

Step-by-step explanation:

1 hour of work = $2.90

8 x 2.90 = 23.20

8 hours of work will get an employee $23.20

If they worked 8 hours daily in a week:

7 x 23.20 = 162.40

Working 8 hours every day in a week will get them $162.4

Answer:   3

Step-by-step explanation:

Let the number be 'a'.

Since the difference between 13 and a number is 4 more than twice the number,  then    13 - a = 2a + 4

            ⇒    13 - a = 2a + 4

                       2a + a = 13 - 4

                            3 a = 9

                               a = 3

Answer:

×=-2

Step-by-step explanation:

4×+8=0

4x= -8

therefore;

x= -2

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

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:

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:

[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]

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

Answer:

You may just add 2 in the spot. Moreover, you get no solution.

Step-by-step explanation:

Hope this helped!

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]\boxed{\bf {{No\:Solution}}}[/tex]

Step-by-step explanation:

[tex]\bf 4(9x+6)=36x-7[/tex]

Expand: Apply Distributive proprty:

[tex]\bf 36x+24=36x-7[/tex]

[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x+24-24=36x-7-24[/tex]

[tex]\bf 36x=36x-31[/tex]

[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x-36x=36x-31-36x[/tex]

[tex]\bf 0=-31[/tex]

Because the sides are not equal there is no Solution

86.4

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

Answer:

1/5

Step-by-step explanation:

Answer:

The answer is 7,878,684,378

LOL

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

you divide the two numbers then you multiply by ten

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

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]