9-(7-3x) = 4+x-(3-x) solve for x

Answer: The probability of selecting a mint 1/6

Step-by-step explanation:

the jar contains 30 different candies

out of the 30, 5 are mints

5/30 = 1/6

Answer:

477

Step-by-step explanation:

:)

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Work Shown:

Use the compound interest formula

A = P*(1+r/n)^(n*t)

A = 10000(1+0.039/1)^(1*4)

A = 11,653.65589441

A = 11,653.66

That's the amount of money Tammy will have at the end of 4 years.

Subtract off the principal from this value to get the interest.

interest = A - P

interest = 11,653.66 - 10,000

interest = 1,653.66

Answer:

ANSWER

GIVEN:

OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1

AO/OC = BO/OD

[The diagonals of a Trapezium divide each other proportionally]

(3x-1)/(5x-3) =( 2x+1)/(6x-5)

(3x-1) (6x-5) = (5x-3) ( 2x+1)

3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)

18x² -15x -6x +5 = 10x² -6x +5x -3

18x² -21x +5 = 10x² - x -3

18x² -10x² -21x + x +5+3 =0

8x² - 20x +8= 0

4(2x² -5x +2) = 0

2x² -5x +2 = 0

2x² -4x -x +2= 0

[By factorization]

2x(x-2) -1(x-2)= 0

(2x-1) (x-2) = 0

(2x-1) = 0 or (x-2) = 0

x = ½ or x = 2

If we put x= ½ in OD , The value of OD is negative.

Hence, the value of is x = 2.

Step-by-step explanation:

1 =29 and 2=44...............

Answer:

Unit Price at Grocery Mart = $1.50

Unit Price at Baldwin Hills = $1.33

Step-by-step explanation:

Unit price in this case will be the price divided by number of pounds

Let u1 be the unit price of Grocery Mart and u2 be the unit price at Baldwin Hills

Given

[tex]s_1 = 2.99\\w_1 = 2\\s_2 = 3.99\\w_2 = 3[/tex]

The unit price for Grocery Mart is:

[tex]u_1 = \frac{s_1}{w_1}\\= \frac{2.99}{2}\\= 1.495[/tex]

Rounding off to nearest penny

u1 = $1.50 per lbs

Unit price for Baldwin Hills is:

[tex]u_2 = \frac{s_2}{w_2}\\=\frac{3.99}{3}\\=1.33[/tex]

u2  = $1.33 per lbs

Hence,

Unit Price at Grocery Mart = $1.50

Unit Price at Baldwin Hills = $1.33

Answ

yes

Step-by-step explanation:

Answer:??

Step-by-step explanation: How do I use this app??

Answer:

2

Step-by-step explanation:

-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.

Answer:

- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!

branliest

Step-by-step explanation:

Range: To find the range we have find the smallest and highest numbers in a list or set. To find the range put the number on order, and then subtract the lowest number from the highest number.

Mode: To find the mode of a data set, we have to look the number that occurs most frequently in the set, and to find the mode we have to count how many times each number occurs.

Median: To find the median, first order the numbers from smallest to largest. Then find the middle number.

Mean: To find the mean we have to add up all the numbers, Then divide by how many numbers there are.

Answer:

a.  -0.01 < x - 8 < 0.01

b.  7.99 < x < 8.01

c.  see attachment

d. Bolt has to be greater than 7.99 mm and less than 8.01 mm to be within the margin of error of 0.01 mm.

Step-by-step explanation:

-0.01 < x - 8 < 0.01

-0.01 < x - 8   and   x - 8 < 0.01

7.99 < x                     x < 8.01

Write this as:   7.99 < x < 8.01

On graph the 7.99 and 8.01 are very near to each other and represented via open red circle.

Answer:

b. is 7.99 < x < 8.01

Step-by-step explanation:

Sorry, I don't know the other parts.

Answer:

g=12/7

Step-by-step explanation:

Answer:

price per ounce: $4.48

Step-by-step explanation:

divide 40.32 by 9

Answer:

0.28

Step-by-step explanation:

9 pound = 144 ounce

40.32 / 144 = 0.28

To find the equation of the parabola, first let's write the parent function,

y = a(x-h)^2+k. Ok, now we need to find the vertex and plug it in. Remember, (h,k). When we look at the problem the vertex is (0,4). Therefore we write it as y = a(x-0)^2 +4 or y = ax^2 + 4. Now we need to look to see if it was stretched or compressed. Keep in mind that on a normal parabola, if you move over 1 you go up one. If you move over 2 you go up four. If you move over 3, you go up 9. In this problem, you move over 1, you go up 1. If you move over 2, you go up 4. If you move over 3, you go up 9. From this information, we see that there is no stretch or compression. Therefore the equation of the graph shown is:

y= x^2 +4

Answer:

B

Step-by-step explanation:

0.4 x 16.8 or 40% off of 16.80 is 12

Answer:

11025

Step-by-step explanation:

100+5÷100=1.05 squared

10000x1.05squared=11025

Answer:

Amount = 11205

CI = 1205

Step-by-step explanation:

[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]

Here,

p = 10000

r = 5% = 5/100 = 0.05

n = 1

t = 2

[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]

[tex]a = 10000(1.05) {}^{2} [/tex]

[tex]a = 10000(1.1025)[/tex]

[tex]a = 11205[/tex]

C.I = a - p

C.I = 11205 - 10000

C.I = 1205

Answer:

29.) y = -1.5x - 20

30.) y = 6 - 3x

Step-by-step explanation:

29.) For parallel lines; M1 = M2

put the equation in the form y = mx + c

the equation becomes 2y = 14 - 3x

therefore y = 7 - 1.5x.

For the points, introduce another point; (x,y) and the initial (-6,-11)

(y - - 11) ÷ ( x - - 6) = -1.5

y+11 = -1.5x - 9

y= -1.5x - 20

30.) still following the same procedure, only that M1 × M2 = -1

M1 = 1/3, M2 = -3

(y + 9)/(x - 5) = -3

y + 9 = 15 - 3x

y = 6 - 3x

Answer:

D) m<1 = 50 m<7 = 130

Step-by-step explanation:

Lets set up the equation!

We know m<4 is 4x-30 and the m<5 is 2x + 50 due to alternate interior angles they are congruent so we can forge an equation, all we do is set them equal to each other!

4x-30 = 2x+50

Add 30 to both sides

4x = 2x +80

Subtract 2x from both sides.

2x = 80

Divide both sides by 2

x = 40

Now that we know x we can just plug it into the expression of m<4 to find m<1

4x-30

4(40)-30

80 - 30

50

m<4 = 50

Because m<1 and m<4 are vertical angles they are congruent!

m<1 = 50

We also know m<4 and m<5 are congruent so m<5 = 50 as well.

Because <7 is supplementary to <5 we know that the sum of both angles amount to 180.

x represents m<7

50 + x = 180

Now we solve by subtraction 50 from both sides

x = 130

m<7 = 130

Brainliest is appreciated!

Answer:

D. 3

Step-by-step explanation:

3x−2y=−6

solve for y

-2y=-3x-6

y= 3/2x+3

y=mx+b

b= y intercept --> b = 3

Answer/Step-by-step explanation:

1. YES.

Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.

2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

Thus,

128° + 53° = 180°.

3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

Thus,

The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.

4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

The converse which would serve as prove that l is parallel to m are given in the answers below:

Considering the information in the given diagrams:

1. Yes, l is parallel to m.

The converse is: "If corresponding angles are equal, then  l is parallel to m".  One of the corresponding angles plus [tex]115^{o}[/tex] equals [tex]180^{o}[/tex].

Thus, l || m.

2. Yes, l is parallel to m.

The converse is: "if two angles are linear pair, then they sum up to [tex]180^{o}[/tex]".

So then, l || m.

3. Yes, l is parallel to m.

The converse is: "if two corresponding angles are right angles, then they are congruent".

Therefore, l || m.

4. Yes, l is parallel to m.

The converse is: :if two alternate exterior angles are congruent, then l is parallel to m".

Therefore, l || m.

Visit: https://brainly.com/question/19670823

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

When two parallel lines are intersected by a transversal, alternate external angles are created.

Given that, m∠A = m∠C = 90° and AB║DC.

In triangles ΔABD and ΔCDB,

m∠A = m∠C = 90°

m∠ABD = m∠BDC (Alternate interior angles)

BD = DB (Common side)

Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

Learn more about the alternate interior angles:

https://brainly.com/question/28380652

#SPJ2

Answer:

translate (x,y) (x-5,y+8)

Answer:

Now Substitute values

[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]

[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]

[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]

Step-by-step explanation:

Side AB and Side BC are the same so we can make them equal to each other:

3x -4 = 5x -10

Subtract 3x from both sides.

-4 = 2x -10

Add 10 to both sides.

6 = 2x

Divide both sides by 2

3 = x

x = 3

Now substitute x in the expression

3x -4

3(3) -4

PEMDAS

9 - 4

Subtract

5

Answer:

Slope=M=y2-y1/X2-X1=

-1 -2 /4-0=

-3/4  =

-0.75

Step-by-step explanation:

Hope this helped!!!!

Answer:

y=(-3/4)+2

Step-by-step explanation:

Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula

Firstly, lets solve for the slope by finding the change in y over the change in x:

slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]

We will plug in the values of the points given and find that:

slope (m)= [tex]\frac{-1-2}{4-0}[/tex]

this equals (-3/4)

from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).

Point-slope equation:

[tex]y-y1=m(x-x1)[/tex]

Plugging in values:

[tex]y-2=(\frac{-3}{4})(x-0)[/tex]

after isolating y we find that the equation is:

[tex]y=\frac{-3}{4} x+2[/tex]

Hope this helps!

-HM

Answer:

10kg

Step-by-step explanation:

For UPS;

express fee = $10

If one kg costs $2, then x kg of package will coat $2x

Total cost of shipping xkg of package will be 10+2x

For FedEx;

Fixed express fee = $20

If one kg costs $1, then x kg of package will coat $1x

Total cost of shipping x kg of package is 20+x

If the total costs of the two options are the same, then;

10+2x = 20+x

2x-x = 20-10

x = 10.

Hence Eric sent 10kg of package

Answer:

3x+y=-9= 0 then y=5x+7=0

Step-by-step explanation:

Slope=−

2.000

6.000

=−3.000

x−intercept=−

3

9

=−3

y−intercept=−

1

9

=−9.00000

=

2.000

10.000

=5.000

x−intercept=

−5

7

=−1.40000

y−intercept=

1

7

=7.00000 i believe