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Answers

Answer 1

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Answer 2

9514 1404 393

Answer:

d + q = 440.10d +0.25q = 8.30

Step-by-step explanation:

The first equation describes the total number of coins. It says the sum of the numbers of dimes and quarters is 44, the total number of coins.

__

The second equation describes the total value of the coins. It will say that 0.10 times the number of dimes plus 0.25 times the number of quarters is 8.30, the total dollar value of the coins.

The two equations are ...

  d + q = 44

  0.10d +0.25q = 8.30

__

Additional comment

The solution can be found by substituting for d:

  0.10(44 -q) +0.25q = 8.30

  0.15q = 3.90

  q = 26

  d = 44 -26 = 18

Vinnie has 18 dimes and 26 quarters in his bag.


Related Questions

Solve the system using substitution. x+y=-2 and x-y=-8

Answers

Answer:

1) x+y=-2

x=-2-y

2) x-y=-8

substitude value of x

(-2-y)-y=-8

-2-2y=-8

-2y=-6

y=3

Substitute value of y in 1

x=-2-3

x=-5

Brainliest please~

Donald has x twenty dollar bills and 1 yen dollar bill. How much money does Donald have?
Write your answer as an expression

Answers

Y=20x+1

I think, hope this helps!

An angle measures 19.4° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

37.8+52.2=90

Step-by-step explanation: x + (x + 14.4) = 90

2x + 14.4 = 90

2x = 75.6

x = 37.8  (one angle)

And (x + 14.4) = 52.2 (other angle).

The lengths of the three sides of a triangle are 17, 18, and 19. Classify it as acute, obtuse, or right.

Answers

Answer:

acute

Step-by-step explanation:

That triangle is an obtuse triangle

Question 1 of 10
If f(x)= 2 -3 and g(x) = 4x2 + x - 4, find (f+ g)(x).
O A. 4x+x-7
O B. 4x2 +5x-1
O c. 6x2 - 7
OD 6+x-1
A
SUBMIT

Answers

Answer:

I believe it's A

Step-by-step explanation:

I'm not sure sorry if its wrong

Which best describes the relationship between the line that passes through the points (6, –1) and (11, 2) and the line that passes through the points (5, –7) and (8, –2)?
A. same line
B. neither perpendicular nor parallel
C. perpendicular
D. parallel

Answers

Answer:

Step-by-step explanation:

slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5

slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3

product of the slopes = -1, so the lines are perpendicular.

Yogi is 6 years older than Michelle. The sum of their ages is 26. Write a system of linear equations to represent this information. What are their ages?

Answers

Answer:

10 and 16, x+(x+6)=26

Step-by-step explanation:

Michelle has an age we don't know, so we put her age as x.

Yogi is 6 years older than her, so her age is x+6

Michelle=x

Yogi=x+6

we know both their ages equal 26. so we set it up as

x+(x+6)=26

combining like terms we get

2x+6=26

subtract 6 from both sides

2x=20

divide both sides by 2

x=10

now that we have the value for x, we plug it into their original ages

Michelle is 10, because her age is just x.

Yogi is 16, because her age is x+6

Zelina scored 10% higher on her second quiz than on her first quiz. On her third quiz, Zelina scored 20% higher than on her second quiz. Her third quiz score is what percent higher than her first quiz score?

Answers

Answer:

30%

Step-by-step explanation:

you just add 10% and 20%

Hope it helps c:

Zelina scored 32% higher on the third quiz than on her first quiz.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

Given that:-

Zelina scored 10% higher on her second quiz than on her first quiz. On her third quiz, Zelina scored 20% higher than on her second quiz.

From the given data we will see that:-

1 ) Zelina scored 10% higher on her second quiz than on her first quiz.

SQ = 1.10 FQ

2 ) On her third quiz, Zelina scored 20% higher than on her second quiz

TQ = 1.20SQ

From the above to expression solve for the first quiz:-

TQ = 1.20 x  1.10 FQ

TQ = 1.32FQ

Therefore Zelina scored 32% higher on the third quiz than on her first quiz.

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classmate Date 8) Solve the word problems a) If 576 balls are arranged in equal number of rows and columns, find the numbers of rows.​

Answers

Answer:

24

Step-by-step explanation:

The number of rows (x) should b equal to the number of columns (x).

x²=576

x=√576 taking the square root of the product

x=24

A tumor is injected with 0.3 grams of Iodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the Iodine-125 to decay?

Answers

Answer:

The time required is 60.3 days.

Step-by-step explanation:

initial amount, No = 0.3 g

rate, r = 1.15 % per day = 0.0115 per day

final amount, N = 0.15 g

Let the time is t.

[tex]N = No e^{-rt}\\\\0.15 = 0.3 e^{-0.0115 t}\\\\0.5 =e^{-0.0115 t}\\\\- 0.6931 = - 0.0115 t \\\\t = 60.3 days[/tex]

The numbers of home runs that Barry Bonds hit in the first 18 years of his major league baseball career are listed below. Find the mean and median number of home runs. Round the mean to the nearest whole number. Which measure of central tendency- the mean or the median- best represents the data? Explain your reasoning.

16 25 24 19 33 25 34 46 37
33 42 40 37 34 49 73 46 45

Answers

Answer:

Mean = 35.56

Median = 35.5

Step-by-step explanation:

Given the data:

16 25 24 19 33 25 34 46 37

33 42 40 37 34 49 73 46 45

Reordered data :

16, 19, 24, 25, 25, 33, 33, 34, 34, 37, 37, 40, 42, 45, 46, 46, 49, 73

The mean = ΣX / n

n = sample size ; ΣX = sum of values

The mean = 658 / 18

The mean = 36.56

The Median = 1/2(n+1)th term

1/2(18+1)th term = 1/2(19)th term = 9.5 term

Median = (9th + 10th) / 2 = (34 + 37) / 2 = 35.5

Couldn’t figure this out help please

Answers

(B)

Step-by-step explanation:

Rewrite the equations into their standard forms. The first one can be rewritten as

[tex]10x - 12y = -5[/tex]

and the 2nd can be rewritten as

[tex]3x + 5y = -1[/tex]

Solving this system either by substitution or elimination, we get

[tex]x = -\dfrac{37}{86}\:\:\text{and}\:\:y= \dfrac{25}{86}[/tex]

If you add x + y, you'll get a negative number.

9514 1404 393

Answer:

  B. x + y < 0

Step-by-step explanation:

The two equations can be cleared of fractions by multiplying by 15.

  15(2/3(x +1) -4/5y) = 15(1/3)

  10(x +1) -12y = 5

  10x -12y = -5

and

  15(2/5x +1/3(2y +1)) = 15(1/5)

  6x +5(2y +1) = 3

  6x +10y = -2

  3x +5y = -1 . . . . . eliminate common factor of 2

__

You can find the solutions any way you like, but you can answer the question without doing that. The lines are not parallel, nor coincident, so there is exactly one solution. (choices C and D are incorrect)

If we can locate the solution relative to the line x + y = 0, we can tell if choice A or choice B is correct. A quick look at the intercepts of the equations tells us the solution cannot lie in quadrants 1 or 4. The negative y-intercept and shallow slope (-3/5) of the second equation tells us the solution must lie below the line x + y = 0. That means x+y < 0, choice B.

_____

In the attached graph, the line x+y=0 is dashed orange. Above that line, x+y>0; below that line, x+y<0. We see the intersection point of the red and blue lines is in the region where x+y < 0.

For standard form equation ax+by = c, the x- and y-intercepts are c/a and c/b, respectively, so are easy to find from that form. Knowing these makes it easy to make a sketch of the graph, locating the solution point relative to the line x+y = 0.

Tìm x không âm biết √x =3

Answers

Answer:

x=9

Step-by-step explanation:

[tex]\sqrt{x}[/tex]=3

[tex]\sqrt{x}[/tex]^2=3^2

x=9

12,963 rounded to the nearest hundredth

Answers

9514 1404 393

Answer:

12,963.00 (in the US)12,96 (some other places)

Step-by-step explanation:

In the US, a decimal point is represented by a period. This value is interpreted as an integer with no fractional part, so the fractional part is zero:

 12,963.00

__

Some other places, a comma is used to identify the beginning of the decimal fraction. In that form, this number has a fractional part that has 3 as its thousandths digit. The value of 3 is less than 5, so the number is simply truncated at the hundredths place.

  12,96

If the thousandths digit were 5 or greater, then 1 hundredth would be added to the truncated number.

When a closed curve is parameterized by {x[t], y[t]}, then as you advance along the curve in the direction of the parameterization, which way do the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point; in the direction you are going, or in the direction opposite to the direction you are going?

Answers

Answer:

In the direction you are going,

Explanation:

We know that the tangent to  {x[t], y[t]} are  {x'[t], y'[t]}. Since  {x'[t], y'[t]} are tangents at  {x[t], y[t]}, we know that the tangent at a point is always parallel to the direction of the function at that point and in the direction of the function. So, the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point in my direction of motion as I move along the curve.

So, the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point in the direction you are going.

Translate the following sentence into an algebraic inequality:

The difference of twice a number, x, and eleven is, at most, the sum of twenty and a number, x.
Question 4 options:

A)

2x∕11 ≥ 20 – x

B)

9x ≥ 20 + x

C)

2x + 11 ≥ 20x

D)

2x – 11 ≤ 20 + x

Answers

Answer:

it have to be letter c

Step-by-step explanation:

this the only problem matches with the question

The inequality represent the given phrase is 2x-11≤20+x. Therefore, option D is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, the difference of twice a number, x, and eleven is, at most, the sum of twenty and a number, x.

The difference of twice a number, x, and eleven is

2x-11

The sum of twenty and a number, x

20+x

So, inequality is 2x-11≤20+x

The inequality represent the given phrase is 2x-11≤20+x. Therefore, option D is the correct answer.

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Marilyn is retiring and wants to set up a 25-year annuity with 140 000 of her savings . The annuity earns 7.7 compounded monthly How much will Marilyn receive every month ?

Answers

Answer:

marilyn isrestiring and wants to set up a 25-year annuity earns 7.

There is a rack of 15 billiard balls. Balls numbered 1 through 8 are solid-colored. Balsa numbered 9 through 15 contain stripes. If one ball is selected at random, determine the odds for it being striped.

Answers

If one ball is selected at random, the odds for it being striped are 7 out of 15, or 7/15.

What do we know?

We know that there are 15 billiard balls.

We also know that balls numbered 1 through 8 are solid-colored, so we have 8 solid-colored balls.

And the other 7 balls are striped.

Now we want to find the probability for a randomly selected ball to be a striped ball.

Because all the balls have the same probability of being randomly selected, the probability of randomly selecting a striped ball is equal to the quotient between the number of striped balls (7) and the total number of balls (15).

Then we have:

P = 7/15 = 0.467

That quotient is also what is called the "odds"

So if one ball is selected at random, the odds for it being striped are 7 out of 15, or 7/15.

If you want to learn more, you can read:

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In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. only 3
C. 2
D. 1, 2, and 3

Answers

A line of symmetry would separate a shape to make multiple shapes that are exactly the same.

The answer is C.2

Rewrite the fraction in the sentence below as a percentage. From 125 yards away, a marksman hit 11/20 of the targets last year.

Answers

Answer:

Step-by-step explanation:

11/20 = 55/100 = 55%

55%

11/20 is .55, which in percentage form is simply 55%.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

The length of a rectangle is 2 cm longer than its width.
If the perimeter of the rectangle is 36 cm, find its area.

Answers

Answer:

80 cm^2

Step-by-step explanation:

Let the width of the rectangle equal x. This means the length is x + 2, as it is 2 cm longer than the width. The formula for perimeter is: P = 2l + 2w, and substitute in the values of the length, width, and perimeter:

P = 2l + 2w

36 = 2(x + 2) + 2(x)

36 = 2x + 4 + 2x

36 = 4x + 4

4x = 32

x = 8

x represents the width, so the width is 8 and the length is 10. Area is length times width, so the area is 8 x 10 or 80 cm^2.

Step-by-step explanation:

let x be the width

p=2l+2w

36=2(2)+2(x)

36=4+2x

36-4=2x

32/2=2x/2(simplify)

x=16

therefore the width is 16cm

area of the rectangle is l×w

=2×16

=32cm"

therefore the area is 32cm"

What is 5x4 please help

Answers

Answer:

5 x 4 = 20.

Step-by-step explanation:

5 + 5 = 10

5 + 10 = 15

5 + 15 = 20!

Please mark brainliest!

- KanaKittyKat

Answer:

5 x 4 = 20

5 + 5 + 5 + 5 = 20

find the value of X in each figure below​

Answers

Answer:

168).  C

169).  C

170).  C

Step-by-step explanation:

For the first angle, it is a right angle, so it measures 90 degrees.

x and 50 are complementary angles, meaning they add up to 90 degrees.

So, subtract 50 from 90 to get 40, which is equal to x.

45 and x are supplementary angles, meaning they add up to 180 degrees.

Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.

All angles in a triangle add up to 180 degrees.

So, 70 + 56 = 126, 180 - 126 = 54.

Since the unknown angle is x - 5, 54 + 5 = 59, which the the measure of angle x - 5.

If a number is divisible by 6 and 8 then is it also divisible by 48?

Answers

Answer:

No

Step-by-step explanation:

Let's look at an example

24

24 is divisible by 6   24/6 = 4  

24 is divisible by 8   24/8 = 3

24 is not divisible by 48  24/48 = 1/2  which is not an integer

If\[\displaystyle\frac{\sqrt{600} + \sqrt{150} + 4\sqrt{54}}{6\sqrt{32} - 3\sqrt{50} - \sqrt{72}} = a\sqrt{b},\]where $a$ and $b$ are integers and $b$ is as small as possible, find $a+b.$

Answers

9514 1404 393

Answer:

  12

Step-by-step explanation:

Apparently, you want the sum a+b when ...

  [tex]\[\displaystyle\frac{\sqrt{600} + \sqrt{150} + 4\sqrt{54}}{6\sqrt{32} - 3\sqrt{50} - \sqrt{72}} = a\sqrt{b},\][/tex]

A calculator can show you the expression on the left evaluates to √243. In simplest terms, that is 9√3, so we have a=9, b=3 and ...

  a+b = 9+3 = 12

Answer:

12

Step-by-step explanation:

Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)
(s + 1)3

Answers

Expand the expression as

(s + 1)³/s ⁵ = (s ³ + 3s ² + 3s + 1)/s

… = 1/s ² + 3/s ³ + 3/s ⁴ + 1/s

Then taking the inverse transform, you get

LT⁻¹ [1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵]

… = LT⁻¹ [1/s ²] + LT⁻¹ [3/s ³] + LT⁻¹ [3/s ⁴] + LT⁻¹ [1/s ⁵]

… = LT⁻¹ [1!/s ²] + 3/2 LT⁻¹ [2!/s ³] + 1/2 LT⁻¹ [3!/s ⁴] + 1/24 LT⁻¹ [4!/s ⁵]

… = t + 3/2 t ² + 1/2 t ³ + 1/24 t

Compute how many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, 7 if there is no repetition and the odd digits must appear in an unbroken sequence. (Examples: 3571264 or 2413576 or 2467531, etc., but not 7234615.)

Answers

Answer:

Number of 7-digit numbers that can be made from the digit is 576

Step-by-step explanation:

Given the data in the question;

digits ⇒ 1, 2, 3, 4, 5, 6, 7

Number of odd numbers in the given digits = 4

Number of even numbers in the given digits = 3

now, we take the odd digits as a single unit.

so, number of ways the odd digits can be arranged with the unit will be 4!.

Now, lets consider the unit of 4 odd digits with 3 even digits.

there are 4 units.

so the number of possible arrangements of these 4 units = 4!

hence, Number of 7-digit numbers that can be made from the digits will be;

⇒ Number of possible arrangements of 4 units × Number of ways in which the odd digits can be arranged within the unit.

⇒ 4! × 4!

576

Therefore, Number of 7-digit numbers that can be made from the digit is 576

A machining center is in charge of producing 225 parts per day. The parts width. Any parts produced between 250mm and 260mm are considered gless than 250mm must be reworked at an additional cost of $8 per part. 260mm must be reworked at an additional cost of $2.50 per part. The varquantified as a standard deviation of 5.0mm. Measurements on these parhave the ability to set up the machine to achieve whatever mean width value you wish.

Required:
Setup a data table to determine the mean width setting that will minimize expected rework cost ($8 per small part and $2.50 per large part).

Answers

Answer: 5.0•2.50
Reason: it’s first grade level math

A sample of 34 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ ≤ 14 H1: μ > 14

Required:
a. Compute the value of the test statistic.
b. What is the p-value?

Answers

Answer:

1.944 ;

0.026

Step-by-step explanation:

Given :

Sample size, n = 34

Sample mean, xbar = 15

Population standard deviation, σ = 3

The hypothesis :

H0: μ ≤ 14

H1: μ > 14

The test statistic :

Test statistic = (xbar - μ) ÷ (σ/√(n))

Test statistic = (15 - 14) ÷ (3/√(34))

Test statistic = 1 / 0.5144957

Test statistic, Z = 1.944

The Pvalue :

Using the Pvalue from test statistic value :

Pvalue(1.944) = 0.026

Pvalue < α ; Reject H0

Need help ASAP

In the figure, if the measure of ∠8 = 72o, what's the measure of ∠14?

Four Bisecting Lines

Question 3 options:

108°


72°


98°


62°

Answers

Answer:

72°

Step-by-step explanation:

[tex] m\angle \: 6 = m \angle \: 8 \\ (corresponding \: \angle s) \\ m\angle \: 8 = 72 \degree \\ \therefore \: m\angle \: 6 = 72 \degree \\ \\ m\angle \: 14 = m \angle \: 6 \\ (corresponding \: \angle s) \\\therefore \: m\angle \: 14 = 72 \degree [/tex]

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