what is the amount of the discount

Answer:

[tex]x + 3y + 2z = 13 \\ 2x + 2y + 4z = 18 \\ 3x + 2y - 3z = 14 \\ \\ x = - 3y - 2z + 13 \\ 2( - 3y - 2z + 13) + 2y + 4z = 18 \\ 3( - 3y - 2z + 13) + 2y - 3z = 14 \\ y = 2 \\ z = \frac{25}{9} - \frac{7}{9} y \\ z = \frac{25}{9} - \frac{7}{9} \times 2 \\ z = \frac{11}{9} \\ x = - 3 \times 2 - 2( \frac{11}{9} ) + 13 \\ x = \frac{41}{9} \\ y = 2 \\ z = \frac{11}{9} [/tex]

Answer:

6.9 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/hyp

sin 35 = x/12

12 sin 35 = x

6.882917236 = x

To the nearest tenth

6.9 =x

Answer:

Integers -3, 9, 5, 56/7, -1

Step-by-step explanation:

Integers are whole numbers that can be positive or negative. They do not have decimals.

Answer:

x=54 degrees

Step-by-step explanation:

These two angles are complementary, meaning that they add to 90 degrees.

If one angle is 36 degrees, then we can write this equation: 36+x=90

We want to find what x is, so we should isolate x.

We can isolate x by subtracting 36 on both sides.

x=90-36

x=54

Answer:

54°

Step-by-step explanation:

∠PQR +∠RQS =∠PQS

36° + x° = 90°

x = 90 - 36 = 54°

Answer:

State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]

[tex]x = \frac{-1 \pm 23}{2} [/tex]

[tex]x_1 = \frac{-1 + 23}{2} [/tex]

[tex]x_1 = 11 [/tex]

[tex]x_2 = \frac{-1 - 23}{2} [/tex]

[tex]x_2 = -12[/tex]

The negative solution has no sense in the context of our problem, then the solution is x = 11.

Answer:

£4 and £6

Step-by-step explanation:

Total = £10

Ratio = 2:3

Total Parts = 2+3 = 5

Divide it by the Total

=> 10/5 = £2

Multiply it by the ratios

1) 2 * 2 = £4

2) 3 *2 = £6

Answer:

4:6

Step-by-step explanation:

2+3=5

10/5=2

3x2= 6

2x2=4

4:6

Answer:

c

Step-by-step explanation:

Khan academy

Answer:

a is the answer

have a great day. brainliest please

Step-by-step explanation:

Answer:

the answer is A. :)

Step-by-step explanation:

the answer A. is 10 so just think what 2 times what will equal 10 so....2 x 5 = 10 and we got 10 so that is how we get our answer

Brainliest please thank you! and good luck!

Answer:

Step-by-step explanation:

5x3= 15

8x9=72

12x11=132

14x17=138

9x17=153

15+72+132+138+153=510

510/50=10.2= mean

Answer:

<b = 23°

Step-by-step explanation:

<a and <b are complementary so they add up to 90

<a + <b = 90

Where <a = 67

67 + <b = 90

<b = 90 - 67

<b = 23°

Answer:

∠b=23°

Step-by-step explanation:

∠a+∠b=90°

67°+∠b=90°

Subtract 67° from both sides

∠b=23°

Answer:

Option B is the correct answer.

Step-by-step explanation:

B= {- 5, - 4.5, - 3}

Answer:

Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm

Hope this helped you!

Step-by-step explanation:

Answer:

w = 17 fts

l = 32 fts

Step-by-step explanation:

P = 2w + 2l

l = 2w - 2

98 = 2w + 2(2w - 2)

98 = 2w + 4w - 4

98 + 4 = 6w

6w = 102

w = 17 fts

l = 2×17 - 2 = 34 - 2 = 32 fts

Answer:

A)f(x)=2x-9 and g(x)=(x+9)/(2)

Step-by-step explanation:

f(g(x)) =x for inverses

A)f(x)=2x-9 and g(x)=(x+9)/(2)

2(x+9)/2) -9 = Canceling the 2  x+9 -9 = x   inverse

B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)

2/(x+6)/2 ) -6 =4/(x+6) - 6  This will not give me x

C)f(x)=(x)/(3)+4 and g(x)=3x-4

(3x+4)/3  -4  = x + 4/3   -4    This will not give me x  

D)(x)=5+\root(3)(x) and g(x)=5-x^(3)

5 + cuberoot ( 5-x^3)  This will not give me x back

Answer:

2x-9 is the inverse of x+9/2

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

multiply by 1/2

1, 1/2, 1/4 , 1/8, 1/16

Answer:

1/16

Step-by-step explanation:

If you see the pattern it goes by x2 (the denominator)

1 , 1/2, 1/4, 1/8, 1/16

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Length of AB

[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]

perimeter of ABCD

[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]

Answer:

4

Step-by-step explanation:

Month 1- average rating as er graph is 4 point (1,4)

Rating was 4 at the beginning, then was stable for 2 months at 3, then increased over time up to 8 at month 10, point (10, 8)

Answer:

C

Step-by-step explanation:

male musicians practice an avg 2/hrs a day

The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A social scientist surveyed a random sample of male musicians at a university about their practice habits.

The graph below displays the amount of time typically spent practicing their instrument daily.

From the graph, we can conclude that on average, male musicians practice for two hours per day.

Then the correct option is C.

More about the histogram link is given below.

https://brainly.com/question/16819077

#SPJ2

Answer:

[tex]-1868[/tex]

Step-by-step explanation:

[tex]-165 - 1703[/tex]

Subtract the numbers.

[tex]=-1868[/tex]

Answer:

-1868 is the simplified polynomial

Step-by-step explanation:

-165 -1703

= -165 + -1703

= -(165+1703)

= -(1868)

Answer:

add a picture

Step-by-step explanation:

Answer:

A & F

Step-by-step explanation:

if you look at the other question I answered for you, you can see the work. but basically you can figure out slope by doing m=y2-y1/x2-x1.

so we now know the slope is 1/4. which eliminates choices B, D, E.

we see that C will not work because the x and y values are switched.

according to point slope formula A & F work.

Answer: 40.9

Step-by-step explanation:

Answer: 44°

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360°

If your polygon has six sides, the final angle will be:

= 360 - (63 + 64 + 82 + 49 + 58)

= 360 - 316

= 44°

Answer:

Jessie scored higher than Reagan.

Step-by-step explanation:

We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.

Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.

For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.

1. Finding z-score for Reagan;

Let X = distribution of SAT scores

SO, X ~ Normal([tex]\mu=1000, \sigma^{2}=100^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 1000

            [tex]\sigma[/tex] = standard deviation = 100

Now, Reagan scored 1140 on the SAT, that is;

       z-score  =  [tex]\frac{1140-1000}{100}[/tex]  =  1.4

2. Finding z-score for Jessie;

Let X = distribution of ACT scores

SO, X ~ Normal([tex]\mu=17, \sigma^{2}=5^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 17

            [tex]\sigma[/tex] = standard deviation = 5

Now, Jessie scored 30 on the ACT, that is;

       z-score  =  [tex]\frac{30-17}{5}[/tex]  =  2.6

This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.

Answer:

Probability is the chance of occurrence of an event. The probability that both marbles are drawn by the Cymra are red

Step-by-step explanation:

Answer: 21pi / 5

Step-by-step explanation:

Given the following :

Theta (θ) = 3π / 5

radius (r) = 7cm

The length of an arc is calculated using the formula:

(θ / 360) × 2πr

Inputting the provided values into our formula;

θ = 3π/5 = (3 × 180)° / 5 = 540°/5 = 108°

Length = (108 / 360)° × 2π × 7

Length = (3/10) × 14π

Length = 42π / 10

Length = 21π / 5 cm

Answer:

John's initial investment is Rs.150000

Step-by-step explanation:

Let the principal amount be a

We are given that John wants to invest in a simple interest savings account .The interest rate on this account is 0.7%.

Now to find simple interest in x years

Formula : [tex]Si = P \times T \times R[/tex]

Where P = Principal

T= time

R = rate of interest in decimals

So,[tex]SI=a \times 0.007 \times x[/tex]

Amount = Principal+Interest

Amount = [tex]a+a(0.007)x[/tex]

We are given that The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x

So, On comparing a = 150000

Hence John's initial investment is Rs.150000

Answer:

5÷9

Step-by-step explanation:

5/9 is a fraction where the numerator is divided by the denominator

5 divide by 9

5÷9

Answer:

5

Step-by-step explanation:

5/9 = .55555555555

.55555555555 x 9 = 5

to check the work, just do 5 divided by nine :)

Answer:

x⁴ + x³ + 4x² - 5x

Step-by-step explanation:

The polynomials given in the question are:

x⁴ - 3x + 1

4x² - 2x + 8

x³ - 9

We have to add all them

First write all the polynomial in the summation form:

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

Open the brackets:

x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

Group together the similar terms

(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)

Finding the sum in brackets:

x⁴ + x³ + 4x² + (-5x) + (0)

x⁴ + x³ + 4x² - 5x

Note that the sum is in descending powers of x

Answer:

[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)

Step-by-step explanation:

1) MNOP is a parallelogram: Reason; Given

2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram

3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.

4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram

5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.

6)  [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property

7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem

8)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).

Also we have;

9)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent