I HAVE MY MOCKS TOMORROW AND I WILL DO THE SAME TEST THAT I HAVE KNOW HEEEEELP

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60   Eqn 1

x=2y+9   Eqn 2

Putting value of Eqn 2 in Eqn 1;

[tex](2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51[/tex]

Dividing both sides by 3,

[tex]\frac{3y}{3}=\frac{51}{3}\\y=17\\[/tex]

Putting y=17 in Eqn 2

[tex]x=2(17)+9\\x=34+9\\x=43[/tex]

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

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This problem is tricky. Let's break it down.

1/4 - book

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

1/3 of the remainder(3/4) - stationery

"OF" MEANS MULTIPLY

1/3 x 3/4 = 1/4

So, 1/4 of total allowance on stationery.

Meaning, he spent 1/2 of his allowance in all, and 1/2 of his allowance is $18.

Since the book cost 1/4 of his allowance, and (1/4)2 = 1/2, the book cost 18/2 = $9.

Answer:

7

Step-by-step explanation:

Using subtraction method, the distance between 3 and 10 is 7. On the number line, the starting point is 3; therefore, from 3 movement will take seven times to get to 10.

Answer:

Step-by-step explanation:

A) x/840=1/21

x=(1/21)*840=840/21=40

x=40

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

B) 14/x=16/20

simplify 16/20 into 4/5

14/x=4/5

x=14/(4/5)=(14/1)(5/4)=70/4

simplify

x=35/2

There are 16 years will it take for the population to quadruple i.e. four times the initial population.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

Given that a population of a country grows exponentially and continuously at a rate of 9% per year.

The number of years it takes for the population to quadruple i.e. four times the initial population.

As per the given condition, the required solution would be as:

⇒ 4p = p[tex]e^{0.09t}[/tex]

Divided by p into both sides of the above equation,

⇒ 4p/p = p[tex]e^{0.09t}[/tex]/p

⇒ 4 = [tex]e^{0.09t}[/tex]

Take the natural logarithm of both sides of the equation,

⇒ ln 4 =  ln  [tex]e^{0.09t}[/tex]

⇒ ln 4 = 0.09t ln e

∵ ln e = 1

⇒ ln 4 = 0.09t

Divided by 0.09 into both sides of the above equation,

⇒ ln 4 / 0.09 = 0.09t / 0.09

⇒ t = 16

Thus, there are 16 years will it take for the population to quadruple.

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Answer:

9w+8f+46, 11m+7, 3.1p-8.37, 8+5m.

Step-by-step explanation:

9(w+6)+4f+4(f-2)

9w+54+4f+4f-8

9w+54-8+8f

9w+46+8f

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

2m+7+9m=2m+9m+7=11m+7

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

3.1(p-2.7)=3.1p-8.37

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

5(3+m)-7=15+5m-7=8+5m

Answer:

A. He has to work 5,887hrs and 55 min

B. 3,504 weeks

Step-by-step explanation:

A. He earns $9 an hr. He works 9hrs a week, or 1hr 17 min a day. $11.52 per day.

The car costs $52,753, + $235(taxes, titles, and plates)= $52,988.

52,988/9=5,887:55

B.    One week= 168 hrs. 5,887:55/168=3,504 weeks

Ryan needs to work approximately 5888 hours, which translates to about 654 weeks or 12.5 years, to save enough to buy a used car and pay for taxes, title, and plates at his current wage of $9 an hour.

To determine how many hours Ryan needs to work to afford a used car plus additional costs, we first add the price of the car to the taxes, titles, and plates. The cost of the used car is $52,753, and the taxes, titles and plates amount to $235, giving us a total cost of $52,988.

Ryan earns $9 per hour. To find out how many hours he needs to work to earn $52,988, we divide the total cost by his hourly wage.

$52,988 / $9 per hour = 5887.555... hours

Ryan would need to work approximately 5888 hours to afford the car and the extra costs.

For part B, we calculate how many weeks Ryan needs to work. Since Ryan works 9 hours a week, we divide the total hours needed by his weekly hours.

5888 hours / 9 hours per week = 654.222... weeks

Ryan would need to work approximately 654 weeks, which is roughly 12.5 years, assuming he works every week without any breaks or holidays.

Answer:

x=17

Step-by-step explanation:

8*17=136+20=156

11*17=187-31=156

      156=156

Answer:

0.35

Step-by-step explanation:

Answer:

it is 0.35

Step-by-step explanation:

this is because 35/100= 0.35

Answer:

Yes

Step-by-step explanation:

[tex]\sum_{n=1}^{\infty} e^{-\sqrt{n} } \\\sum_{n=1}^{\infty} (\frac{1}{e})^{\sqrt{n} }[/tex]

If we say u = √n, then:

[tex]\sum_{u=1}^{\infty} (\frac{1}{e})^{u}[/tex]

This is a geometric series.  Since |1/e| < 1, the series converges.

62. If you add up all of the numbers, you get 310, then take this number and divide it by 5. you divide it by five because there are five numbers given.

Answer:

57 is the mean.

When you add up all of the numbers, you get 285.

Divide 285 by 5 and you get 57.

Answer:

5x-2y + 8 =0

Step-by-step explanation:

2y=5x+8

5x-2y + 8 =0

Answer:

number 7 is y= [tex]\frac{-ax+c}{b}[/tex]

Step-by-step explanation:

Answer:

There may be 3 tables or 1 table.

Step-by-step explanation:

If we factorize 12 into its prime factors then we get 12 = 2 × 2 × 3

If there are an odd number of tables and each table has an equal number of chairs and there are a total of 12 chairs, then the possibilities of the number of tables are 1 and 3.

{Since 1 and 3 both are odd numbers}

Now, for 3 tables there will be 4 chairs each to make the total chairs (3 × 4) = 12 and for 1 table there will be 12 chairs in the table to make the total number of chairs (1 × 12) = 12. (Answer)

To solve using prime factorization, the factors of 12 are 2, 2, and 3. We need an odd number of tables, so only the factor 3 is used. There are 3 tables with 4 chairs each.

The question involves a scenario where there are 12 chairs in a meeting hall and an odd number of tables. Each table has the same number of chairs. The question prompts us to use prime factorization to determine how many tables there could be. Since there is a fixed total of 12 chairs, we need to find the factors of 12 that are odd numbers because the number of tables has to be odd.

Using prime factorization, 12 can be broken down into its prime factors: 2 x 2 x 3. To have an odd number of tables, we cannot include the factor of 2 because it would result in an even number of tables. Hence, we only consider the factor of 3. In this scenario, this would mean there are 3 tables with 4 chairs each because 3 (an odd number) times 4 equals 12 (total number of chairs).

Another way to use prime factorization to solve this is to look for combinations of the factors that multiply to 12 but in groups that have an odd factor. The only possible combination is again 3 tables with 4 chairs each, as any other multiplication involving the factor 2 would result in an even number of tables.

Answer:

B) y=1/4x

Step-by-step explanation:

Because the slope of this graph is 1/4. You can find this because slope=rise/run. On the graph, it's always 1 upward and 4 rightwards, therefore, the slope is 1/4. Also, the y-intercept is 0 in this case.

Answer:

x=2, y=0. (2, 0).

Step-by-step explanation:

5x+y=10

5y=3x-6

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

y=10-5x

5(10-5x)=3x-6

50-25x=3x-6

50-25x-3x=-6

50-28x=-6

28x=50-(-6)

28x=50+6

28x=56

x=56/28

x=2

5(2)+y=10

10+y=10

y=10-10

y=0

Answer:

Rational Numbers

Step-by-step explanation:

A hat size cannot be integers as that would include negative numbers. For example a person who's hat size is 7 & 5/8 which would make the answer 7.625 which is a rational number.

Answer:

"Rational numbers" is the set of numbers among the choices that are given in question that is the most reasonable to describe a person's hat size.

Step-by-step explanation:

rational numbers are by far the most reasonable description.   The circumference of the human head certainly is not always an integer or whole number.

For this item, i go with letter D. Rational. The hat size cannot be integers as it includes negative numbers. For instance the person's hat size is 7 + 5/8 which leads to an answer of 7.625. That is a rational number. 

hope this helps you

if this is correct can you give me the brainliest

Answer:

x=4

Step-by-step explanation:

-2(x+2)=-12

x+2=-12/-2

x+2=6

x=6-2

x=4

Answer:

Step-by-step explanation:

I'm not sure I would cross multiply as my first step.

How about subtracting 7/3 first.

0.5x = 21/4 - 7/3

0.5x = 21*3/(4*3) - 7*4/(3*4)

0.5x = 63 / 12 - 28/12

0.5x = 35/ 12                      Now multiply by 2

2*0.5x = 35*2 / 12

x = 70/12

x = 5 10/12   or

x = 5 5/6      or

x = 5.8333333

There might be a slightly easier way of doing this.

Suppose you multiply by 2 to begin with

x + 14/3 = 42/4

x + 14/3 = 21/2

x = 21/2 - 14/3

x = 63/6 - 28/6

x = 35/6

x = 5 5/6

I don't think there is much difference in how you do it. The numbers are just plain ugly.  

Answer: I think something is missing ?? sorry comment down below

Step-by-step explanation:

Answer:

The value are

f = 6 cm

g = 8 cm

Step-by-step explanation:

Given:

ABCE is Trapezium

AD || BC

AD = BC = f

CD = g

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

To Find :

f  = ?

g = ?

Solution:

In the figure ∠ C = 90° and AD || BC

∴ ∠ D = 90° .....Corresponding angles are equal

∴ ABCD is RECTANGLE With Length = f and Breadth = g

∴ [tex]\textrm{Area of Rectangle}=Length\times Breadth\\\textrm{Area of Rectangle}=f\times g\\[/tex]

[tex]\textrm{Area of Triangle AED}= \textrm{Area of Trapezium ABCE}-\textrm{Area of Rectangle ABCD}\\=60-48\\=12\ cm^{2} \\\therefore \textrm{Area of Triangle AED} = \frac{1}{2}\times AD\times DE\\12 =\frac{1}{2}\times f\times 4\\ f=\frac{24}{4}\\\therefore f= 6\ cm[/tex]

Now,

∴ [tex]\textrm{Area of Rectangle}=Length\times Breadth\\\textrm{Area of Rectangle}=f\times g\\[/tex]

[tex]\therefore 48 = f\times g\\48= 6\times g\\\therefore g =\frac{48}{6}\\ g=8\ cm[/tex]

The value are

f = 6 cm

g = 8 cm

Answer:

Lacy is 14 and Jack is 56

Step-by-step explanation:

An isosceles triangle has an angle that measures 40 degrees. 70 and 100 are other angles could be in that isosceles triangle

Solution:

Given that isosceles triangle has an angle that measures 40 degrees.

If a triangle is isosceles then it has 2 identical angles and the third different one.

Let the two identical angles be "a"

We know that sum of angles in a triangle is 180 degree

a + a+ 40 = 180

2a + 40 = 180

2a = 180-40

a = 70

Thus the two identical angles are 70 degree and 70 degree

Now let the identical two angles be "40" and the third angle be "a"

Now sum of angles = 180 degree

40 + 40 + a = 180

80 + a = 180

a = 100

Thus the third angle in this case is 100

70 and 100 are other angles could be in that isosceles triangle

Answer:

70, 40, and 100

Step-by-step explanation:

I am taking the IXL and wanted to know what t was and i got it wrong because someone answered it was only 70 and 100 when it is actually 40 100, and 70. Trust me i just got it wrong and IXL gave me the right answers.

Answer:

6:32 is my answer to this question

so if it is three minutes to one that means it is

12:57

in 6 hours and 34 minutes will be

12:57 + 6= 6:57

if you add 34 (i didnt do it above to make it easier)  to 57 you get 91.

because minutes dont go past 60 you have to subtract..

91 - 60 = 31 and because you only subtracted 60 once you only add one hour..

so your answer is 7:31

i hope this helps you !!!

Answer:

B) 5 5/9

Step-by-step explanation:

13 1/3=40/3

7 7/9=70/9

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

40/3-70/9=120/9-70/9=50/9=5 5/9

The vertex form of y = x² + 16x - 71 is (x + 8)² - 135

Step-by-step explanation:

The vertex form of the quadratic function y = ax² + bx + c, is

y = a(x - h)² + k, where

∵ The quadratic function is y = x² + 16x - 17

- Compare it with the general form of the quadratic function above

∴ a = 1 , b = 16 and c = -71

∵ [tex]h=\frac{-b}{a}[/tex]

- Substitute the value of a and b is h

∴ [tex]h=\frac{-16}{2(1)}[/tex]

∴ [tex]h=\frac{-16}{2}=-8[/tex]

∵ k = y when x = h

- Substitute x by -8 in the function above

∴ k = (-8)² + 16(-8) - 71

∴ k = 64 - 128 - 71

∴ k = -135

∴ The vertex point is (-8 , -135)

∵ The vertex form is y = a(x - h)² + k

∵ a = 1 , h = -8 , k = -135

- Substitute these values in the vertex form above

∴ y = 1(x - (-8))² + (-135)

∴ y = (x + 8)² - 135

The vertex form of y = x² + 16x - 71 is (x + 8)² - 135

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Answer:

Each students will get 3 tickets and 2 brownies  .

Step-by-step explanation:

Given as :

The total number of tickets issued for the school dance = 64

The number of brownies ordered for refreshment table = 96

Let the number of tickets given to each student = x

And The number of brownie given to each student = y

Now,

According to question

The tickets and brownies is distributed equally among students

So , Now, consider the tickets and brownies = n

Or, [tex]\dfrac{n}{64}[/tex] - [tex]\dfrac{n}{96}[/tex] = 1

Or, Taking LCM we get

[tex]\dfrac{3 n - 2 n}{192}[/tex] = 1

Or, [tex]\dfrac{n}{192}[/tex] = 1

∴ n = 192

Now,

The number of tickets given to each student = x = [tex]\dfrac{192}{64}[/tex]

I.e x = 3

And The number of brownie given to each student = y =  [tex]\dfrac{192}{96}[/tex]

I.e y = 2

Hence Each students will get 3 tickets and 2 brownies  . Answer

To ensure each student gets an equal number of tickets and brownies, we distribute 64 tickets and 96 brownies among the students. Each student gets 2 tickets and 3 brownies.

To determine how many tickets and brownies each student gets, follow these steps:

Hence, Each student will get 2 tickets and 3 brownies.

Answer:

8 percent

Step-by-step explanation:

When you're trying to find the percentage, first, you divide what you're trying to find over the total amount.

2/25.

What you get from this is 0.08. However, this is a decimal, not a percent. When converting from decimal to percent, you multiply the decimal by 100 to get 8 percent.

Answer:

8%

Step-by-step explanation:

2/25=8/100=0.08=8%

Answer:

x = -8 , y = -2

Step-by-step explanation:

Solve the following system:

{3 x - 4 y = -16 | (equation 1)

2 x - 4 y = -8 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x - 4 y = -16 | (equation 1)

0 x - (4 y)/3 = 8/3 | (equation 2)

Multiply equation 2 by 3/4:

{3 x - 4 y = -16 | (equation 1)

0 x - y = 2 | (equation 2)

Multiply equation 2 by -1:

{3 x - 4 y = -16 | (equation 1)

0 x+y = -2 | (equation 2)

Add 4 × (equation 2) to equation 1:

{3 x+0 y = -24 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -8 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = -8 , y = -2

the solution to the system of equations is [tex]\( x = -8 \) and \( y = -2 \).[/tex]

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method here.

Given equations:

1.[tex]\(3x - 4y = -16\)[/tex]

2.[tex]\(2x - 4y = -8\)[/tex]

We can see that both equations have the same term ( -4y), so we can eliminate ( y) by subtracting equation 2 from equation 1:

[tex]\[(3x - 4y) - (2x - 4y) = (-16) - (-8)\][/tex]

[tex]\[3x - 4y - 2x + 4y = -16 + 8\][/tex]

[tex]\[(3x - 2x) - 4y + 4y = -16 + 8\][/tex]

[tex]\[x = -8\][/tex]

Now that we have found ( x = -8 ), we can substitute this value into either of the original equations to find ( y ).

Let's substitute ( x = -8 ) into equation 1:

[tex]\[3(-8) - 4y = -16\][/tex]

[tex]\[-24 - 4y = -16\][/tex]

[tex]\[-4y = -16 + 24\][/tex]

[tex]\[-4y = 8\][/tex]

[tex]\[y = \frac{8}{-4}\][/tex]

[tex]\[y = -2\][/tex]

So, the solution to the system of equations is [tex]\( x = -8 \) and \( y = -2 \).[/tex]

Answer:

Not exactly sure what "funny numbers" are but I'm assuming you mean prime numbers? In that case there are a total of 7 prime numbers between 30 and 60.

Step-by-step explanation:

Answer:

42 but with no 0