solve the system of equations x + y = 0 and x + 9y= -48 by combing the eqatuons

Answer:

He has 109 tickets left!

Step-by-step explanation:

ok, let's find out how many tickets he bought in total!

he bought: 9 packs with 16 tickets inside each pack

so...

9 x 16 = 144

144 - 35 = 109

Make sure to double check before writing it down!

Answer:

8h

Step-by-step explanation:

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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The sales tax rate for a specific type of wood-frame door priced at $1480 is 25%, or $370.

Percentages are just fractions with a denominator of 100. We use the percent sign (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. A percentage is a relative value that represents one hundredth of a quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given quantity. A percentage is a fraction of a whole expressed as a number between 0 and 100.

Here,

Sale tax=$370

Price of door=$1480

Sales tax percent=370/1480*100

=25%

The rate of sales tax for a particular type of wood-frame door is priced at $1480 is 25% that is $370.

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Answer:

72

Step-by-step explanation:

The sum of exterior angles is 360

360-57-68-32-59-72 =. 72

Answer:

10

Step-by-step explanation:

look at the y axis for the answer to a question like this

Answer:

There are 25 hostel rooms.

Step-by-step explanation:

We simply need to add up the height of each bar.

3+5+8+6+2+1=25 hostel rooms

Answer:

1000.

Step-by-step explanation:

We need 4 weights where 3 of them add up to

900, 1400, 1600 or 1800g.

Not sure of the method for doing this!

Lets assume that the answer is 1000 g.

Then the  3 that make 1800 could be

1000 500 and 300

- then to make 900 we need a 100g tomato giving:

1000 500 300 and 100 grams

So the 1400 will be the 1000, 300 and 100 tomato

and the 1600 will be 1000, 500 and 100.

That seems to fit !!

The at 98% level of confidence, the true proportion of people who would download and use the app if it was offered for free, with advertisements lies between 0.61 and 0.79.

A smartphone app developer does market research on their new app by conducting a study involving 200 people.

Construct a 98% confidence interval for the true proportion of people who would download and use the app if it was offered for free, with advertisements.

The confidence interval is given by

\(;[latex]\begin{aligned}\mathrm{CI}&

=\mathrm{p} \pm \mathrm{z}_{\alpha / 2} \sqrt{\frac{\mathrm{p} \mathrm{q}}{\mathrm{n}}} \\&

=0.7 \pm \mathrm{z}_{0.01} \sqrt{\frac{0.7 \times 0.3}{200}}\end{aligned}[/latex]\)

\([latex]\begin{aligned}\mathrm{CI}&=0.7 \pm 2.33 \sqrt{\frac{0.7 \times 0.3}{200}} \\&=0.7 \pm 0.089 \\&=[0.61, 0.79]\end{aligned}[/latex]\)

The at 98% level of confidence, the true proportion of people who would download and use the app if it was offered for free, with advertisements lies between 0.61 and 0.79.

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Answer:

a < -3

Step-by-step explanation:

10a + 8 < 9a + 5

Subtract 9a from both sides.

a + 8 < 5

Subtract 8 from both sides.

a < -3

Answer:

a < -3

Step-by-step explanation:

Given the inequality:

\(\displaystyle{10a+8 < 9a+5}\)

Solving a linear inequality is like solving a linear equation, you isolate a-term. Thus, subtract both sides by 9a:

\(\displaystyle{10a+8-9a < 9a+5-9a}\\\\\displaystyle{a+8 < 5}\)

Subtract both sides by 8:

\(\displaystyle{a+8-8 < 5-8}\\\\\displaystyle{a < -3}\)

Therefore, the solution is a < -3

Answer: 4 days

Step-by-step explanation:

If it takes 4 people 8 days to paint a wall. We can only assume that doubling the number of people would be 2 times as fast. So divide 8/2=4.

Answer:

a ) -1

Step-by-step explanation:

\(\frac{1}{64} = 4^{2s-1} . 16^{2s+2}\\ 4^{-3} = 4^{2s-1+4s+4}\\ 4^{-3} = 4^{6s+3}\\ 6s + 3 = -3\\6s = -6\\s = -1\)

Answer:

\(4(6a + 2b^2) - 1/3 (27b^2 - 15a)\)

a = -2

b = 3

\(4\left(6\left(-2\right)+2^2\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)\)

Follow the PEMDAS order of operations:-

\(4\left(6\left(-2\right)+2^2\right)\)

calculate within Parentheses

\(6\left(-2\right)+2^2\)

\(2^{2} =4\)

\(6(-2)=-12\)

Add:-

\(-12+4=-8\)

\(4\left(-8\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)\)

calculate within Parentheses:-

\(27\left(3\right)^2-15\left(-2\right)\)

\((3)^{2} =9\)

\(27*9=243\)

\(243-15\left(-2\right)\)

\(15(-2)=-30\)

\(243-\left(-30\right)\)

\(=273\)

\(4\left(-8\right)-1/3\cdot \:273\)

Multiply:-

\(4\left(-8\right)=-32\)

\(-32-1/3\cdot \:273\)

\(1/3*273=91\)

\(=-32-91\)

\(=-123\)

OAmalOHopeO

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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The width of a rectangular computer monitor with a diagonal measurement of 26 inches falls between the integers 36 and 37, so k is 36.

Let the length of the monitor be 3x and the width be 2x, where x is a positive constant.

Using the Pythagorean theorem, we can write:

(3x)^2 + (2x)^2 = 26^2

Simplifying this equation, we get:

13x^2 = 26^2

x^2 = 2 * 13^2

x = 13√2

So the width of the monitor is 2x = 26√2 inches.

To find the integers k and k+1 between which the width of the monitor falls, we can approximate the value of 26√2:

26√2 ≈ 36.8

So the width of the monitor is between the integers 36 and 37. Therefore, k = 36.

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The projected balance of cash at the end of August is $38,000. The correct option is D.

To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.

Given that the cash balance on July 31 was $32,000.00, we start with this amount.

Cash collections for August are $52,000.00, which means this amount is added to the cash balance.

Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.

Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:

Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments

= $32,000 + $52,000 - $46,000

= $38,000

Therefore, correct option is D.

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Complete question is:

Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:

                                         July           Aug             Sep

Cash collections       $51,000.00 $52,000.00 $50,000.00

Cash payments

Purchases of direct materials     23,000     20,000        24,000

Operating expenses       32,000      26,000    22,000

Capital expenditures      7,000       9,000      13,000

Calculate the projected balance of cash at the end of August.

A. $23000

B. $29000

C. $107000

OD. $38000

The given equation y = 3x + 5 has infinitely many solutions.

What is a linear equation in two variables?

If an equation is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Given: Linear equation y = 3x + 5

We know that,

The linear equation in two variables in the form of ax + by + c = 0

For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.

For x = 1, y = 3 × 1 + 5 = 8. Therefore, (1, 8) is another solution.

For y = 0, 3x + 5 = 0, x = -5/3. Therefore, (-5/3, 0) is another solution.

Clearly, for different values of x, we get various values for y. Thus, any value substituted for x in the given equation will constitute another solution for the given equation. So, there is no end to the number of different solutions obtained by substituting real values for x in the given linear equation. Therefore, a linear equation in two variables has infinitely many solutions.

Hence, the given equation y = 3x + 5 has infinitely many solutions.

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The equation of the image of the given line after applying dilation of a scale factor of 3/4 around the origin is equal to y' = (9/8)x - 4.

Equation of the image of a line is equal to,

y=3/2x-4

Scale factor around the origin is equals to 3/4.

The equation of the image of the line after a dilation of a scale factor of 3/4 around the origin,

Apply the following transformation to the equation of the original line,

Dilate the line by a scale factor of 3/4.

This means that the new coordinates (x', y') are given by,

x' = (3/4)x

y' = (3/4)y

Substitute the new coordinates into the equation of the original line.

y = (3/2)x - 4

substituting x' for x and y' for y

y' = (3/2)x' - 4

substituting the dilation formula for x'

y' = (3/2)(3/4)x - 4

⇒y' = (9/8)x - 4

Therefore, the equation of the image of the line y = (3/2)x - 4 after a dilation of a scale factor of 3/4 around the origin is y' = (9/8)x - 4.

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The elementary skills have used so far in the course is explained below.

What is whole numbers?

An integer is the range zero, a high quality herbal range or a bad integer with a minus sign. The bad numbers are the additive inverses of the corresponding high quality numbers. In the language of mathematics, the set of integers is frequently denoted through the boldface Z or blackboard bold.

The cap potential to define entire numbers and differentiate them from natural numbers is a critical component of math.

complete numbers like 0, 1, and 2 are the constructing blocks to expertise greater complex wide variety identifiers like actual numbers, rational numbers, and irrational numbers.

The subset of numbers within integers is whole numbers. those are numbers that we're maximum used to working with, which include zero. We see entire numbers on nutrients labels, or signs on the toll road telling us how many miles are to the subsequent exit/city.

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Answer:

\( \frac{3}{2 } \times \frac{11}{4} \\ \frac{33}{8} \\ 4 \frac{1}{8} \)

Lisa bowling score is 100.

John bowling score is 282.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Lisa and John are bowling.

Johns score is three times the difference of Lisa's score and 6.

The sum of their scores is 382.

Now, Let Lisa bowling score = x

Then, John bowling score = 3 (x - 6)

Since, The sum of their scores is 382.

Hence,

x + 3 ( x - 6 ) = 382

After solving,

x + 3x - 18 = 382

4x = 382 + 18

4x = 400

x = 100

Hence, Lisa bowling score = x = 100

And, John bowling score = 3 (x - 6)

                                       = 3 (100 - 6)

                                       = 3 × 94

                                       = 282

Therefore, Lisa bowling score is 100.

And, John bowling score is 282.

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The greatest number of sides that can result from a cross section of a rectangular prism is 6.

To see why, consider a rectangular prism. The prism has 6 faces, which are all rectangles. If we take a cross section of the prism, the section will intersect some of the faces, resulting in a closed shape. The shape will have at most as many sides as the number of sides of the faces that the section intersects.

Since each face of the rectangular prism has 4 sides, the maximum number of sides that can result from a cross section is 4 x 6 = 24. However, this is only possible if the section intersects every face of the prism, which is unlikely to occur in general. In practice, a cross section of a rectangular prism is more likely to intersect just a few of the faces, resulting in a shape with fewer sides. Therefore, the greatest number of sides that can result from a cross section of a rectangular prism is 6, which occurs when the section intersects all 6 faces.

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Answer:

is 30 because 3 multiply by 10 is 30

Answer:

yes of course .

I will help you .

Answer: 951 ft

Step-by-step explanation:

-230 + 602 - 183 + 762
= 951 ft

Answer:

77°

Step-by-step explanation:

Find the diagram atached

From the figure

m<T = 1/2(arcRU - arcSU)

m<T = 1/2(119-arcSU)

21 = 1/2(119-arcSU)

21*2 = 119-arcSU

42 = 119-arcSU

arcSU = 119 - 42

arcSU = 77degrees

Hence the meaasure of arcSU is 77degrees

Answer:

B.77

Step-by-step explanation:

Hi!

Given:

\(\frac{x}{-1} > -6\)

Multiply both sides by \(-1\)

\(x<6\)

Notice the sign was flipped. This is because when you multiply or divide by a negative number, you must always flip the sign!

Now, for the graph:

-------------------------------------------------------------------------------------------------------------

For < or > signs, it should be an open circle. For \(\leq\) or \(\geq\) signs, it should be closed.

Since \(x\) is less than 6, it should go to the left. Since it's a < symbol, it should be open. Therefore your answer is B.

(looks like you were right!!)

Answer:

7.14 well be your answer

Step-by-step explanation:

Hello there!

When we are given the graph of a line and two points on the graph, we can calculate the slope of the line using Rise/Run.

Rise=How many units we move up (here, the rise is 3)

Run=How many units we move left or right (Here, the run is 5)

So the slope of this line is \(\frac{3}{5}\)

Hope this helps you!

~Just a joyful teen

\(SilentNature(GraceRosalia)\)

Answer: Heres your answer! I hope we can be friends!

Step-by-step explanation: The answer for A is the specified rate fro 70+66, which would be 126x2 is 166. B as derivative would be your preference! I hope this helped have a good day!