Ms. Nguyen needs to separate $385 into three parts to pay some debts. The second part must be five times as large as the first part. The third part must be $35 more than the first part. How much money must be in each part?

Answer:

$117.87

Step-by-step explanation:

4 trees x $21.99 = $87.96

34% x $87.96 = $29.91 tip

Total = $87.96 + $29.91 = $117.87

Answer:

2, √72, 8.7, √83, 9.25

Step-by-step explanation:

First, you need to find the integers of each number that is not already a integer.

Square root of 72: 8.48528137424

9.25

Square root of 83: 9.11043357914

2

8.7

Now, list the numbers by their whole number (in the ones place). If they have the same whole number, look at their tenths place and see which one is greater.

Overall, the answer would be 2, √72, 8.7, √83, 9.25.

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

Learn more here:

https://brainly.com/question/11787764

Answer:

Jennifer has the faster training rate.

Step-by-step explanation:

In order to determine the equation that represents the distance, y (in kilometers), that Jennifer traveled in x minutes:

Choose two ordered pairs from the table: (5, 40) and (64, 8).

Let (x1, y1) = (40, 5)

(x2, y2) = (64, 8)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (8 - 5)/(64 -40)

m = 3/24 = 1/8

Therefore, y = 1/8x represents the distance, y (in kilometers), that Jennifer traveled in x minutes.

In order to find out who has the faster training rate, choose one of the given x values from the table, and substitute it into Patrick's and Jennifer's equations:

Let x = 40:

Patrick:

y = 1/9x

y = 1/9(40)

y = 4.44 km  ⇒ This represents the distance that Patrick traveled in 40 minutes.

In contrast, Jennifer traveled for 5 kilometers in 40 minutes (according to the given table). She reached a farther distance than Patrick, given their training time of 40 minutes.

Therefore, Jennifer has the faster training rate.

=============================================================

Explanation:

The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.

However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.

Consider the case of something like this sequence:

As you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.

Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.

For more information, check out the Pigeonhole Principle.

Answer:

0.9

Step-by-step explanation:

absolute is the positive number

Answer:

0.9

Step-by-step explanation:

The absolute value is the distance of a number from zero, and 0.9 is 0.9 steps away from zero.

Answer:

3 3/4 cups

Step-by-step explanation:

We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for 35 servings. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:

[tex]\frac{\frac{3}{4} }{7} = \frac{x}{35}[/tex]

Notice that we can multiply 5 by 3/4 to find the value of x.

So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.

Hopefully this was helpful! If you have any more questions, let me know.

Answer:

Step-by-step explanation:

Prime numbers has only two factor 1 and the number itself

Here, 2 , 3  prime factors

36 = 2 * 2 * 3 * 3

Answer:

12/18 and 10/15

Step-by-step explanation:

12/18 = 2/3 (when the numerator and denominator are divided by 6)

10/15 = 2/3 (when the numerator and denominator are divided by 5)

∴ 12/18 and 10/15 are equivalent

Step-by-step explanation:

As you know

[tex] a_{n} = a_{1} \times {r}^{n - 1} [/tex]

1.

[tex]3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}[/tex]

2.

[tex]2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}[/tex]

3.

[tex] - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} [/tex]

Answer:

Yes, the area of the square would be a rational number.

Step-by-step explanation:

Area of square = 400 units² = x²

x = one side length of square

x = √400 = 20 units

Increase each side length by 1 unit.

New side length = 21 units

Area of new square = 21² = 441

441 is a rational number because the square root of 400 is a rational number.

√400 = 21

Therefore: If the length of each side of the square increased by one unit, the area of the square would be a rational number. The area of the square would still be a perfect square.

Hey there!

If she bought 3 LBS (pounds) of bananas and they cost 54¢ per lb, then your equation should look like this: 3 × 0.54 = t and you should be able to find the answer from there!

t = result / how much he spent in total

Equation:

t = 3 × 0.54

3 × 0.54 = t

SIMPLIFY IT

t = 1.62

Therefore, Erin spent ≈ $1.62 (1 dollar & 62 cents)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

the last one

Step-by-step explanation:

because you have two (-1) and that means it is not a function.

Answer:

the first one i think sorry it im wrong

Step-by-step explanation:

Answer:

4a: 1

4b: 6, -6

Step-by-step explanation:

4a. (3 - 5)= -2; (9 - 6)=3

(-2 + 3) = 1

4b. We aren't told which cards Jesse pick up, only that they didn't affect his total points. Therefore, the two cards have the same number, but opposite signs. We coluld pick any teo an an example: 6 and -6, or 4 and -4, etc. They don't affect his score since they ccancel each other with a result of zero.

Answer:

[5/4,16/5]

Step-by-step explanation:

if you're going to divide 36 into 9 then you'll have the answer

hope it helps

Answer:

its 2 8/11

Step-by-step explanation:

i hope this helps have a good day

Answer:

y= -5x-2

Step-by-step explanation:

Parallel equations have the same slope, so we know our slope will be -5. To get our y-intercept, we need to plug in our slope. 1 times -5 is -5, so we need to figure out how to get from -5 to -7. We're going to subtract 2, so the y-intercept is -2.

The equation of the line parallel to y=12-5x and passes through the point (1,-7) will be y= -5x-2.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the equation of a line that is parallel to y=12-5x and passes through the point (1,-7).

The slope of the parallel lines is always the same. The slope of the line will be -5.

The y-intercept of the line will be calculated as,

y = mx + c

-7 = -5(1) + c

c = -7 + 5

c = -2

The equation of the line will be written as,

y = mx + c

y = -5x - 2

Therefore, the equation of the line parallel to y=12-5x and passes through the point (1,-7) will be y= -5x-2.

To know more about an equation of the line follow

brainly.com/question/18831322

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Answer:

• The quadratic formular is as below:

[tex]{ \boxed{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }}}[/tex]

• Basing on our equation given, x² - 5x - 2 = 0;

[tex]{ \rm{x = \frac{ - ( - 5) \pm \sqrt{ {( - 5)}^{2} - (4 \times 1 \times - 2) } }{(2 \times 1)} }} \\ \\ { \rm{x = \frac{5 \pm \sqrt{33} }{2} }} [/tex]

• Therefore;

[tex]{ \boxed{ \rm{x = \frac{5 + \sqrt{33} }{2} }}}{ \rm{ \: \: or \: \: }}{ \boxed{ \rm{x = \frac{5 - \sqrt{33} }{2} }}} \\ \\ { \boxed{ \boxed{ \rm{x = 5.37 \: \: or \: \: - 0.37}}}}[/tex]

Answer:

a = 50, b = 141, c= 42, d = 143

Answer:

It is correct because the smallest one is 3 the second one all together is 15 and the last one is 60.

Step-by-step explanation: Basically you can divide the 60 with 15 and you can divide 60 with 3.

60/15 = 4

60/3 = 20

and 4 can go in to 20 5 times so yeah.

And I hope I helped you out.

Answer:

Together they have $79.52

Adult tickets - $15

Student tickets - $11

First day:

10 tickets * $15 = $150

4 tickets * $11 = $44

Total: $194

Second day:

7 tickets * $15 = $105

7 tickets * $11 = $77

Total: $182

Answer:

[tex]x = 40[/tex]

Step-by-step explanation:

As the Corresponding angles are equal

[tex]4x - 50 = 2x + 30 \\ 4x - 2x = 50 + 30 \\ 2x = 80 \\ \frac{2x}{2} = \frac{80}{2} \\ x = 40 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

[tex]x = 40 [/tex]

Step-by-step explanation:

that's the answer

Answer:

4 hours

Step-by-step explanation:

12 x 4 = 48