Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

To know more about identities visit:-

brainly.com/question/14681705

#SPJ1

Answer:

Approximately 2 days.

Step-by-step explanation:

The frog can only jump 3 lily pads each day.

24 hours = 1 day

\(\frac{24}{3}\) = 8 hours

Thus, it would take the frog 8 hours to cover a lily pad.

To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).

So that;

Total time required to get to the edge of the pond can be determined by;

6.5 × 8 hours = 52 hours

Number of days to get to the edge of the pond = \(\frac{52}{24}\)

                                                                    = 2.2

It would take him approximately 2 days to get to the edge of the pond.

Answer:

44.8

Step-by-step explanation:

It’s a ratio.  You can compare similar sides to find x.  You could use either 10 and 28, or 22 and 38.5.

10/28=16/x

Cross multiply.

10x=28*16

10x=448

x=44.8

Answer:

Well Judging By Your Picture You Multiply Length by width by Height

Step-by-step explanation:

Answer:?

Step-by-step explanation:

Answer:

75 : 225

Step-by-step explanation:

\(\frac{\frac{1}{4} }{\frac{3}{4} } :\frac{75}{y}\)

0.25 × y = 0.75 × 75

0.25y = 56.25

0.25y ÷ 0.25 = 56.25 ÷ 0.25

y = 225

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service.

This means that \(n = 801, \pi = \frac{457}{801} = 0.5705\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 - 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.5362\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 + 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.6048\)

The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).

Answer:

7(x-10)

Step-by-step explanation:

7×(x-10)

you ×7by whatever x-10 is

The given statement will be equal to 7(x - 10) as per linear equation.

A linear expression is an expression that has one or multiple variables with the highest degree of 1.

Let, x is any number.

Now, the difference between the number and 10 will be = (x - 10).

Therefore, the product of seven and the difference between a number and ten is = 7 × (x - 10).

Therefore, 7(x - 10) is the algebraic expression represent the given statement.

Learn more about linear expression here: https://brainly.com/question/11562707

#SPJ2

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

For such more questions on Car travels

https://brainly.com/question/32301907

#SPJ8

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

for such more question on variable

https://brainly.com/question/19803308

#SPJ8

Answer:

7x³ + 7x² + 2x - 8

Step-by-step explanation:

Let the unknown polynomial be a

a + -3x³ + 2x - 5 = 4x³ + 7x² - 3

a = 4x³ + 7x² - 3 - (-3x³ + 2x - 5)

a = 4x³ + 7x² - 3 + 3x³ + 2x - 5

a = 7x³ + 7x² + 2x - 8

Answer:

a

Step-by-step explanation:

an example

1x2=2

1 is a, 2 is b, see they equal the same 2 and 2.

Answer:

B. 0

Step-by-step explanation:

Any number multiplied by 0 equals zero.

Answer:

225º or 3.926991 radians

Step-by-step explanation:

The area of the complete circle would be π×radius²: 3.14×8²=200.96

The fraction of the circle that is still left will be a direct ratio of the angle of the sector of the circle.

\(\frac{125.6}{200.96}\)=.625. This is the ratio of the circe that is in the sector. In order to find the measure we must multiply it by either the number of degrees in the circle or by the number of radians in the circle (depending on the form in which you want your answer).

There are 360º in a circle, so .625×360=225 meaning that the measure of the angle of the sector is 225º.

We can do the same thing for radians, if necessary. There are 2π radians in a circle, so .625×2π=3.926991 radians.

Answer:

225º

Step-by-step explanation:

Answer:

ΛPMO and ΛOMP

Step-by-step explanation:

I'm not sure what the question means but that's what I think so, sorry if it's incorrect :(

You can also put a the Λ sign on top of M instead of at the start.

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

To know more about Algebra,

https://brainly.com/question/28871326

Answer:

C

Step-by-step explanation:

1. Distributive Property

2. Combine the like terms.

3. Subtraction Property of Equality

4. Division Property of Equality

Answer: c

Step-by-step explanation:

5(7572882!8/6(

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

Learn more about similar triangles here: brainly.com/question/27996834

#SPJ1

Answer:

F

(

−

2

x

+

12

)

=

−

8

x

3

+

144

x

2

−

864

x

+

1731

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

To find the mean, you have to add the terms, and divide the sum by the number of terms.

7+8+9+10=34

34/4=8.5

-hope it helps

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393

Answer:

12x+9

Step-by-step explanation:

To find the perimeter, add all the sides

3x+8  + 4x-1  + 5x +2

Combine like terms

3x+4x+5x   +8-1 +2

12x+9

We know that z varies directly as √√x and inversely as y, which can be written as:

z = k(√√x)/y

where k is the constant of proportionality.

To find the value of k, we can use the values given when x = 25 and y = 7:

179 = k(√√25)/7

179 = k(5/7)

k = (179*7)/5

k = 250.6

Now we can use this value of k to find z when x = 64 and y = 4:

z = 250.6(√√64)/4

z = 250.6(2)/4

z = 125.3

Therefore, z ≈ 125.3 when x = 64 and y = 4.

To determine if three points are collinear, we have to find two slopes using this points, if they are equl, the points are collinear.

Slope 1 using points D(0, -1) and E(4, 3):

m1 = (3 - (-1))/(4 - 0) = (3 + 1)/4 = 4/4 = 1

m1 = 1

Slope 2 using points D(0, -1) and F(6,5):

m2 = (5- (-1))/(6 - 0) = (5 + 1)/6 = 6/6 = 1

m2 = 1

Since both slopes are equal to 1, they are collinear

Answer:

D, E and F are collinear

It's the same vallue. If they were different, i could argue that 2.000 is greater than 2.00. Impossible, because 2 is equal to 2.

I think E. would be the answer

Hope this helps?

Answer:

\(\frac{x(4xx^{2}+3) }{2}\)

Step-by-step explanation:

simplify the expression

remove the double x, it was a mistake

omg it didnt show up

Answer:

Step-by-step explanation:

Find the value of x.

5+x=7

x = [?]

5 + x = 7

x = 7 - 5

x = 2

----------------check

5 + 2 = 7

7 = 7

the answer is good

Answer:

(a) 0.0686

(b) 0.9984

(c) 0.0016

Step-by-step explanation:

Given that a machine produces parts that are either defect free (90%), slightly defective (3%), or obviously defective (7%).

Let A, B, and C be the events of defect-free, slightly defective, and the defective parts produced by the machine.

So, from the given data:

P(A)=0.90, P(B)=0.03, and P(C)=0.07.

Let E be the event that the part is disregarded by the inspection machine.

As a part is incorrectly identified as defective and discarded 2% of the time that a defect free part is input.

So, \(P\left(\frac{E}{A}\right)=0.02\)

Now, from the conditional probability,

\(P\left(\frac{E}{A}\right)=\frac{P(E\cap A)}{P(A)}\)

\(\Rightarrow P(E\cap A)=P\left(\frac{E}{A}\right)\times P(A)\)

\(\Rightarrow P(E\cap A)=0.02\times 0.90=0.018\cdots(i)\)

This is the probability of disregarding the defect-free parts by inspection machine.

Similarly,

\(P\left(\frac{E}{A}\right)=0.40\)

and \(\Rightarrow P(E\cap B)=0.40\times 0.03=0.012\cdots(ii)\)

This is the probability of disregarding the partially defective parts by inspection machine.

\(P\left(\frac{E}{A}\right)=0.98\)

and \(\Rightarrow P(E\cap C)=0.98\times 0.07=0.0686\cdots(iii)\)

This is the probability of disregarding the defective parts by inspection machine.

(a) The total probability that a part is marked as defective and discarded by the automatic inspection machine

\(=P(E\cap C)\)

\(= 0.0686\) [from equation (iii)]

(b) The total probability that the parts produced get disregarded by the inspection machine,

\(P(E)=P(E\cap A)+P(E\cap B)+P(E\cap C)\)

\(\Rightarrow P(E)=0.018+0.012+0.0686\)

\(\Rightarrow P(E)=0.0986\)

So, the total probability that the part produced get shipped

\(=1-P(E)=1-0.0986=0.9014\)

The probability that the part is good (either defect free or slightly defective)

\(=\left(P(A)-P(E\cap A)\right)+\left(P(B)-P(E\cap B)\right)\)

\(=(0.9-0.018)+(0.03-0.012)\)

\(=0.9\)

So, the probability that a part is 'good' (either defect free or slightly defective) given that it makes it through the inspection machine and gets shipped

\(=\frac{\text{Probabilily that shipped part is 'good'}}{\text{Probability of total shipped parts}}\)

\(=\frac{0.9}{0.9014}\)

\(=0.9984\)

(c) The probability that the 'bad' (defective} parts get shipped

=1- the probability that the 'good' parts get shipped

=1-0.9984

=0.0016