Dad's age is equal to the sum of Laura's, Jeri's and Theresa's ages. If Jeri is 4 years older
than Theresa and 3 years younger than Laura, and Dad's age is 38, how old is each
daughter?

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.

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Answer:

Together they have $79.52

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.

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.

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:

b) 50 degrees

Step-by-step explanation:

I'm not sure if it 100% correct but this is what i remember:

BCE is a straight line and a straight line is equal to 180 degrees.

If AB=AC then the angle of both those corners will be 180-115

which equals to 65 degrees (both angles)

Now because all corners of a triangle add up to 180

you can do 180-65-65 which is 180-130

this equals to the angle BAC which is 50 degrees

Answer:

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

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:

even

Step-by-step explanation:

because a is not and odd number its even

The requried two words that describe A² are "Odd" and "Positive".

Odd numbers are integers that cannot be divided evenly by 2, which means they have a remainder of 1 when divided by 2. They can be represented as 2n + 1, where n is an integer. Examples of odd numbers include 1, 3, 5, 7, 9, and so on. The opposite of odd numbers are even numbers, which can be divided evenly by 2.

The square of any negative or positive number is always positive. Thus, the first two options "Negative" and "Positive" do not apply to A². As for "Even", it describes a number that is divisible by 2, while "Odd" describes a number that is not divisible by 2. Since A is an odd number, A² will also be odd, as it is the product of an odd number multiplied by itself.

Therefore, the two words that describe A² are "Odd" and "Positive".

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Answer:

the first one i think sorry it im wrong

Step-by-step explanation:

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]

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;

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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

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

10

3.3×10= 33

Hope this helped you- have a good day bro cya)

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.

This relationship is a function because the plant body can be of only one particular height at a time.

A function can be defined as a relationship between a set of inputs having only one output each. In other words, a function is basically a relationship between inputs and outputs; where each input is related to only one output at a time. Functions are said to occur when the recorded value of x is varied each time. Since we know that the height of the plant (the x-value) varies by each day, Therefore it is a function.

thus we can conclude that the correct option for the relationship between the height of the plant and the number of days is option D, which tells that this relationship is a function because the plant body can only be of one particular height at a time.

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Answer:

its 2 8/11

Step-by-step explanation:

i hope this helps have a good day

Answer:

[5/4,16/5]

Step-by-step explanation:

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:

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:

4 hours

Step-by-step explanation:

12 x 4 = 48

Answer:

N=20

Step by Step:

First you add 17 to both of the sides:

N−17+17=3+17

Second, you simplify;

N=20

Brainiest please?

Answer:D

Step-by-step explanation:

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

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:

$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

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

hope it helps