10 points


Three-fourths was subtracted from a number, and then 5 1/4 was added to the result. The sum was -7.
What was the original number?

A. 3 1/2

B. -11 1/2

C. 2 1/2

D. -3 1/2

Answer:

10x+5y=120

y=-2x+24

Step-by-step explanation:

x=adult tickets

y=children tickets

120=total spent

10x+5y=120

5y=120-10x

y=(120/5)-(10x/5)

y=24-2x or y=-2x+24

Answer:

[tex]a = 10[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Velocity\ (u) = 20m/s[/tex]

[tex]Final\ Velocity\ (v) = 60m/s[/tex]

[tex]Time = 4s[/tex]

Required

Determine the acceleration

This question will be answered using the first equation of motion.

[tex]v = u + at[/tex]

Substitute values for v, u and t

[tex]60 = 20 + 4 * a[/tex]

[tex]60 = 20 + 4 a[/tex]

Subtract 20 from both sides

[tex]60 - 20= 20 -20 + 4 a[/tex]

[tex]40= 4 a[/tex]

Divide both sides by 4

[tex]10 = a[/tex]

[tex]a = 10[/tex]

Hence, the acceleration is 10m/s/s

Answer:

y = 0.6x

It's in the first quadrant because you can't buy a negative amount of tickets and you can't pay a negative amount of money.

Answer:

0.6

Step-by-step explanation:

Answer:

B: Retain the null hypothesis

Step-by-step explanation:

In the relationship between the confidence interval and hypothesis, it is stated that:

When the confidence interval is constructed, all values that fall inside the interval are considered possible values for the parameter that we are estimating while values that fall outside the interval are rejected as they are considered not possible or realistic values.

Now, If the value of the parameter specified by the null hypothesis falls inside the given confidence interval, then we will fail to reject the null hypothesis at the corresponding significance level. However, If the value specified by the null hypothesis doesn't fall inside the given confidence interval, then the null hypothesis can be rejected at the corresponding significance level.

Answer:

Whts a bc

Step-by-step explanation:

Answer:

lol im confusion

Step-by-step explanation:

Answer:

8 should be multiplied in the parenthesis

Step-by-step explanation:

8(9 + x) = 192

72 + 8x = 192

8x = 120

x = 4

Javier made the mistake while expanding the brackets.

Order of operation means simplify the function , expression etc. in given manner.  

To expand a single bracket multiply each term inside the bracket by the term outside the bracket.

8 (9+x) = 192

8*9 + 8*x = 192

72 + 8x = 192

Now, rearranging the above expression

8x = 192 - 72

8x = 120

x = 120/ 8

x = 5

Hence, Javier made the mistake while expanding the brackets.

To learn more about the order of the operation;

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Answer:

The circumference is 565.2 feet when the ferris wheel makes 4 rotations.

Step-by-step explanation:

Given that the diameter of the wheel is 45 feet.

That is:

[tex]d = 45\ feet[/tex]

We have to find the radius first

[tex]r = \frac{d}{2} = \frac{45}{2} = 22.5\ feet[/tex]

The circumference of the circular wheel for one rotation will be:

[tex]C = 2\pi r[/tex]

And for four rotations' circumference the circumference of one rotation will be multiplied with 4.

[tex]C = 2 * 3.14 * 22.5\\C = 141.3\ feet[/tex]

Total circumference:

[tex]C_T = 4C\\= 4 * 141.3\\=565.2\ feet[/tex]

Hence,

The circumference is 565.2 feet when the ferris wheel makes 4 rotations.

Answer:

2) 0.45 3)1.67 4)8/125

Step-by-step explanation:

1000g=1kg

450g=0.45kg

1 4/6 =10/6

10/6=1.67

0.64=64/1000

64/1000=8/125

Answer:

28 in 2/3

Step-by-step explanation:

42/ 28 = 1.5

60/1.5= 40

40/60-4/6=2/3

28 in 2/3

Answer:

(x-2)(x-2)

Step-by-step explanation:

Find two things you can multiply to equal to 4 and add to equal -4

-2*-2=4 and -2+-2=-4

Answer:

1.66

Step-by-step explanation:

Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size

Using this formula

Standard deviation(X)=√np(1−p)

Where,

n represent the number of students=16

p represent the percentage of all students who work full time=22

Let plug in the formula

Standard deviation(X)=√16(0.22)(1−0.22)

Standard deviation(X)=√(3.52)(0.78)

Standard deviation(X)=√2.7456

Standard deviation(X)=1.656

Standard deviation(X)=1.66 (Approximately)

Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66

Answer:

I believe that the answers are:

a= 65 degrees

b= 80 degrees

Step-by-step explanation:

Purple 80 and b should be the same so 80 degrees

180 - 80 is 100 which is A so a equals 100-35 whis is 65.

Answer:

a=65°, b=100°

Step-by-step explanation:

Hope the answers help! I got confused at first, but take a last look at line BE. Angle EAF is vertically opposite to this line. This means that angle BAF equals 80°. b=100°. a is just 180-80-35, so a=65°.

The answer is down below

Answer:

28.2

Step-by-step explanation:

radius of semicircle=(4/2) = 2

circumference of circle=

[tex]2\pi \:r[/tex]

[tex]circumference \: of \: semicircle = 0.5 \times 2\pi \:r[/tex]

perimeter=9+9+2pi+4

=28.2

Answer:

Where is the options?

...

Answer:

18.2

Step-by-step explanation:

because 17+24+19+17+14=91 then 91/how ever many numbers are in the equation not including the answer is what what you divide by in this case it is 5 so 91/5 is 18.2

Hope this helped!!

Question Completion:

Joon bought the shares at this price, and her broker charged her 1% commission. What was the total cost of her investment?

Regne sold the shares of ExxonMobil shown in the above trade and his broker charged him 1.5% commission How much money did the broker receive?

Lisa sold the shares of Chevron indicated above through her discount broker, who charges $28 per transaction.  How much did Lisa receive from the above after the broker took his fee.

Answer:

Trades of Stock in Hewlett-Packard (HPQ) ExxonMobil (XOM) and Chevron CTX)

a. Shares of Hewlett-Packard sold = 6,000 (6K)

b. The total value of all the HP shares sold is $63,780.

c. Total cost of Joan's investment is $64,417.80.

d. Regne's broker received a commission of $3,677.40.

e. Lisa received $760,022.

Step-by-step explanation:

a) Data and Calculations:

Hewlett-Packard (HPQ)    ExxonMobil (XOM)          Chevron CTX)

HPQ 6K10.63 ∨0.23          XOM 3K81.72 ∧ 0.08    CVX 9K84.45 ∨0.22

b) The total value of all the HP shares sold is 6,000 * $10.63

= $63,780

c) Joan's investment:

Investment = $63,780

Broker's commission = 1% = $637.80

Total cost of Joan's investment = $64,417.80 ($63,780 + $637.80)

d) Regne Broker's Commission:

Investment = $245,160 (3,000 * $81.72)

Commission = $3,677.40 ($245,160 * 1.5%)

e) Lisa received from Chevron's stock sale:

Investment = 9,000 * $84.45 = $760,050

Broker's fee = $28

Lisa's receipt = $760,022 ($760,050 - $28)

Answer:

Step-by-step explanation:

How many shares of Hewlett-Packard were sold? 308172

Answer:

Step-by-step explanation:

Remark

If the horizontal lines are parallel, then 2x +  20 = 3x - 10

Equation

2x + 20 = 3x - 10

Add 10 to both sides

2x + 20 + 10 = 3x

Subtract 2x from both sides

30 = x

2x + 20 = 2*30 + 20 = 80

Answer:

x = 30 and both the angles are 80°

__________________________________________________________

In the given figure,

∠(2x + 20) = ∠(3x - 10)             [corresponding angles]

20 = x - 10                                [subtracting 2x from both sides]

x = 30                                      [adding 10 on both sides]

Value of the angles:

the questions required us to find the measure of a certain ∠XAE, but since we cannot see an ∠XAE in the image provided, we will find the measure of both the angles     [let ∠(2x + 20) = ∠1     and     ∠(3x-10) = ∠2]

Measure of ∠1:

We are given that the magnitude of ∠1 is:

∠1 = 2x + 20

since x = 30

∠1 = 2(30) + 20                             [replacing the value of x]

∠1 = 80°

Measure of ∠2:

We are given that the magnitude of ∠2 is:

∠2 = 3x - 10

since x = 30

∠2 = 3(30) - 10                              [replacing the value of x]

∠2 = 80°

Answer:

Step-by-step explanation:

2x + 1 = 5

2x = 4

x = 2

Answer:

1) y = -7 -1x

2) y = + 4.5 + 5/8x

3) y = 4 -1/5x

4) y = -5 + 9x

5) y = 7 + 3/2x

6) y = -6 -1/4x

Step-by-step explanation:

I Hope That This Helps! :)

Answer:

y = 4/5x

Step-by-step explanation:

Her ya go!

Answer:

No solution

Step-by-step explanation:

7x-9 = 7x+7

7x = 7x +16

0 = 16

NO SOLUTION

Answer:

D

Step-by-step explanation:

The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

Mateo has proactively swum Four-fifths of the 2,000 meters he is swimming today. On the off chance that he keeps swimming at a speed of Three-fourths of a meter each second.

3/4 = 2,000 (1 - 4/5) / T

T = [2,000 (1/5)] / (3/4)

The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.

More about the Algebra link is given below.

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Answer:

1. 230, 219, 208, 197, 186.

2. Arithmetic, you are subtracting a constant rate, instead of an exponential rate.

3. Finite, the question says the farmer only took 10 trips, infinite would be much, much much more trips.

Step-by-step explanation:

1. The pattern is to subtract 11, so you just do this for 3 more times.

2. Geometric sequences could look something like 230-11=219. The you multiply by a random number like 2, then you subtract 219- (11x2), 219-22=197. This sequence does not do that.

3. It says in the question the farmer only does it for 10 more times.

Since both angles are vertical angles, we need to set them equal to each other.

[tex]2(x + 10) = 3x - 30\\\\2x + 20 = 3x - 30\\\\5x + 20 = 30\\\\5x = 50\\\\x = 10[/tex]

The final answer is x = 10.

This question is incomplete, the complete question is;

Given that a Historical Demand for a product is;

Month         Demand

January      12

February    11

March        15

April           12

May            16

June           15

Using a weighted moving average with weights of 0.60 for June, 0.30 for May, and 0.10 for April, find the July forecast.

Answer: the July forecast is 15

Step-by-step explanation:

Given that;

Month       Demand          Weights

January      12

February    11

March        15

April           12                     0.10

May            16                     0.30

June           15                     0.60

July             ?                          ?

Formula for calculating weighted moving average is

Ft = w1A_t-1 + w2A_t-2 ............+ wnA_t-n  

w1, w2, wn is the weight assigned to the period t-1, t-2, t-n respevtively

A_t-1, A_t-2, A_t-n is the demand period t-1, t-2, t-n respevtively

and n is the total number prior periods in the forecast.

so we just substitute our values into the equation

Forecast(July)  = (15 × 0.6) + (16 × 0.30) + ( 12 × 0.10)

= 9 + 4.8 + 1.2

= 15

Therefore the July forecast is 15

Answer:

[tex]y=2x-10[/tex]

Step-by-step explanation:

We know that the line has a slope of 2 and it passes through the point (3, -4).

So, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:

[tex]y-(-4)=2(x-3)[/tex]

Solve for y. Distribute the right:

[tex]y+4=2x-6[/tex]

Subtract 4 from both sides. Therefore, our equation is:

[tex]y=2x-10[/tex]