HELP (20 points) using triangle ABC how does extending vertex c further away to the left of vertex b verify the relationship between sides and angles in triangles?

The inequality that can be used to determine "x", the maximum number of outfits that Layla can purchase while staying within her budget is [tex][680\geq (371.90+77.02x)][/tex].

As per the question statement, Layla has a budget of $680 to spend at a bicycle store for some new gear and biking outfits, and she buys a new bicycle for $319.28, 3 bicycle reflectors for $4.90 each and a pair of bike gloves for $37.94.

We are required to express the inequality that can be used to determine "x", the maximum number of outfits that Layla can purchase while staying within her budget if a new biking outfit costs $77.02

First, let us calculate the total spending Layla has already done before going for new biking outfits, which is $319.28 on bicycle, 3 bicycle reflectors for $4.90 each and a pair of bike gloves for $37.94, summed up as [tex][319.28+(4.90*3)+37.94]=(319.28+14.7+37.94)=371.92[/tex]

And supposing that she buys "x" new biking outfits, of $77.02 each, the total spending has to be equal to, or less than $680, i.e.,

[tex][680\geq (371.90+77.02x)][/tex]

Hence, the inequality that can be used to determine "x", the maximum number of outfits that Layla can purchase while staying within her budget is [tex][680\geq (371.90+77.02x)][/tex].

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Answer:

0.068

Step-by-step explanation:

calculator

Answer:

0.068

0.4x0.17= 0.068

Step-by-step explanation:

Answer:

45*90+45*x and Yuki would have typed 60*x.

Words typed by Yuki > Words typed by Neil

45 \times 90 + 45 \times x < 90 \times x45×90+45×x<90×x

Solving above inequality would give

x > 90x>90

it means that 90 minutes after 10:30 AM

Yuki would type more than Neil.

Answer:

See explanation

Step-by-step explanation:

The scale on a blueprint says that 1 cm is the equivalent of 3 ft. A particular line on the blueprint representing a wall measures 12 cm. Wall is 36 ft long.

Given,

Scale on a blueprint says that 1 cm is the equivalent of 3 ft

1cm = 3ft

A particular line on the blueprint representing a wall measures 12 cm.

12cm = 12(3) ft

         = 36ft

Wall is 36 ft long.

The act or system of measuring is referred to as measurement. It may be viewed as a procedure for utilizing numbers to define physical objects. "This rod is bigger than that rod," for instance.

Since we don't know anything about the specific characteristics of the provided rods, this statement only serves a very narrow function of comparison. However, if we claim that the first rod is 20 inches long and the second is 15 inches, the first rod will be 5 inches longer than the second. This claim provides us with support for our deduction and makes greater sense mathematically.

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Answer:

r = 26

Step-by-step explanation:

Let's solve the problem,

→ 0.5r + 5 = r - 8

→ r - 0.5r = 5 + 8

→ 0.5r = 13

→ r = 13/0.5

→ [ r = 26 ]

So, the value of r is 26.

For the given kite DCBA, the value of AD as 22 units and CB as 30 units.

We know that the two longer sides and the two shorter sides of the kite are equal to each other.

So, we get that:

AD = CD

Substituting the values, we get that:

11 y - 22 = 7 y - 6

11 y - 7 y = 22 - 6

4 y = 16

y = 16 / 4

y = 4

AD = 11 y - 22 = 44 - 22 = 22 units

AB = BC

Substituting the values, we get that:

3 x + 12 = 5 x

5 x - 3 x = 12

2 x = 12

x = 12 / 2

x = 6

CB = 5 x = 30 units

Therefore, we get that, for the given kite DCBA, the value of AD as 22 units and CB as 30 units.

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Hello,

[tex]a + a + a + a + a + a + a= 7 \times a = 7a[/tex]

Answer:

7a

Step-by-step explanation:

Step-by-step explanation:

a normal function expresses y (the functional result) in terms of x (and constants).

we need to transform this to express now x in terms of y (and constants).

at the end we only rename x into y and y into x to make it an actual function.

h(x) = y = (-5x + 6)/(3x + 4)

y(3x + 4) = (-5x + 6)

3xy + 4y = -5x + 6

4y - 6 = -5x - 3xy = x(-5 - 3y)

x = (4y - 6)/(-5 - 3y)

and after renaming we get therefore the function

y = h-1(x) = (4x - 6)/(-3x - 5)

Answer:Ms. Morales is right

Step-by-step explanation: it is 1/2 a dollar = to 50 cents 50 cents x 4 =2.00$

Answer:

x = 2/3

Step-by-step explanation:

If f(x) = -3x + 4, f(x) = g(x), and g(x) = 2, by the Transitive Property, -3x + 4 = 2

From here we can solve for x.

-3x + 4 = 2
-3x + 4 - 4 = 2 - 4
-3x = -2
3x = 2
3x/3 = 2/3
x = 2/3

The equivalent expression of 24 over 80 is 3/10

The expression is given as

24 over 80

Rewrite the expression properly

So, we have

24/80

Divide the numerator and the denominator by 8

So, we have

3/10

Hence, the equivalent expression of 24 over 80 is 3/10

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An amount of 2 liters of the 30 % vinegar solution to obtain a 20 % vinegar solution.

According to the statement, a vinegar solution with a given concentration must be prepared by using two vinegar solutions with different concentrations. We can find the required addition of the 30 % vinegar solution by weighted averages, whose respective formula is:

(20 / 100) · (4 + x) = (30 / 100) · x + (15 / 100) · 4

0.2 · (4 + x) = 0.3 · x + 0.15 · 4

0.8 + 0.2 · x = 0.3 · x + 0.6

0.1 · x = 0.2

x = 2

An amount of 2 liters of the 30 % vinegar solution to obtain a 20 % vinegar solution.

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The expression can be simplified as 4x-12/x-3

The expression is

1/(x-3) + 4/(x+5)

= (x+5) + 4(x-3)/(x-3)(x+5)

= 4x-12/x-3

Hence the expression can be simplified as 4x-12/x-3

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Answer:

In equation 8p-1-2q+7q, 1 is the constant

Step-by-step explanation:

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Example: in "8p-1-2q+7q", 1 is the constants.

Let's simplify step-by-step.

8p−1−2q+7q

=8p+−1+−2q+7q

Combine Like Terms:

=8p+−1+−2q+7q

=(8p)+(−2q+7q)+(−1)

=8p+5q+−1

=8p+5q−1

If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit the temperature of the hot chocolate be after 4 minutes is: 117.57.

Given:

k=0.12

Original or initial temperature=190 degrees Fahrenheit

Freezer temperature = 0 degrees Fahrenheit

Using Newton's Law of cooling to find the temperature of the hot chocolate

Temperature (t)= Temperature of surrounding environment T1 +(initial temperature of object T0-Temperature of surrounding environment T1)e-^kt

Hence,

T(t)=0+(190-0)e^-0.12t

T(t)=190e^-0.12t

Where t=4

T(t)=190e^-0.12(4)

T(t)=190e^-0.48

T(t)=117.5688

T(t)=117.57 (Approximately)

Therefore if the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit the temperature of the hot chocolate be after 4 minutes is: 117.57.

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Sum of their ages= 53

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, −. For example, in the adjacent picture, there are 5 − 2 peaches—meaning 5 peaches with 2 taken away,

a-b = c (c may be a positive or negative value it may be 0 too)

given that, total of the ages of andrew, caren and barbara is 68 years

asked about their total 5 years back so we have to subtract five years from three of them then we will get,

3x5=15

subtract 15 from 68 to get total of their ages five years ago

68-15=53

this gives the total age of  andrew , caren and barbara  5 years ago

which is equal to 53

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Answer:

Ages together equal 53.

Step-by-step explanation:

An arithmetic operation called subtraction simulates the process of deleting items from a collection. The negative symbol, or, denotes subtraction. For instance, the adjacent image shows 5 2 peaches, or 5 peaches with 2 subtracted.

a-b = c (c may have a positive, negative, or even zero value.)

Given that, Andrew, Caren, and Barbara's combined age is 68 years.

asked them how many years back in total they had, so we had to take away five years from three of them to get,

3x5=15

In order to calculate their ages five years ago, take 15 out of 68.

68-15=53

this reveals Andrew, Caren, and Barbara's combined ages. five years ago

which is equal to 53.

Part A: 0, 2.4, 2.4, 1, 2

Part B: -2.5, 6, 0.5, N/A

Part C: [-3, 7]

Part D: [-1, 2.4]

A. The value of y, when x is equal to -3, -2, 0, 2, 4, is 0, 2.4, 2.4, 1, 2 respectively.

B. The value of x, when y is equal to -1.5, 0, 2, is -2.4, -3, and 4 respectively.

C. The domain of the function is {-3, -2, 0, 2, 4}.

D. The range of the function is {0, 1, 2.4}.

A. To find the value of y at x is equal to -3, -2, 0, 2, 4 is found by the graph given.

x:     -3     -2       0         2      4

y:      0     2.4     2.4       1      2

B. To find the value of x at y is equal to -1.5, 0, 2, is found by the graph given.

y:      -1.5       0       2

x:      -2.4      -3       4

C. The domain of a function is the set of all possible input values (in this case, x values) for which the function is defined.

From the given x values, we can see that the function is defined for all of these values: -3, -2, 0, 2, 4.

So, the domain of the function is {-3, -2, 0, 2, 4}.

D. The range of the function:

The range of a function is the set of all possible output values (in this case, y values) that the function can produce.

From the given y values, we can see that the function produces these y values: 0, 1, 2.4.

So, the range of the function is {0, 1, 2.4}.

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Answer: -4.16

Step-by-step explanation:

100/25=4

-4 4/25=

-4 4*4/(25*4)=

-4 16/100= -4.16

The simplified form of the expression 5(3/5 x + 8y²) - 4x - (6y² + 10) will be  34y² - x - 10.

Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.

The expression is given below.

⇒ 5(3/5 x + 8y²) - 4x - (6y² + 10)

Simplify the expression, then we have

⇒ 5(3/5 x + 8y²) - 4x - (6y² + 10)

⇒ 3x + 40y² - 4x - 6y² - 10

⇒ 34y² - x - 10

The simplified form of the expression 5(3/5 x + 8y²) - 4x - (6y² + 10) will be  34y² - x - 10.

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there are  a total of 7983360 way of arrangements of the pies.

As we are provided we  three pieces of apple pie, five pieces of cherry pie, and four pieces of pumpkin pie, in total 12 pies

So total combination will be

12! = 1*2*3*4*5*6*7*8*9*10*11*12

   = 479001600

In the event that there was 1 pie, at that point it would be fair 1 in its line. If we had 2 pies A and B, at that point we have 2 combinations AB and BA. Adding a 3rd pie C would multiply those combinations by 3, ABC, ACB, BAC, BCA, CAB, and CBA. If each pie piece may be a unique work of craftsmanship at that point 12! is the proper amount of combinations. On the off chance that you need combinations that disregard setups where for illustration two cherry pie pieces are compatible, meaning you want uniqueness at that point you divide 12! by 5 at that point by 3 and after that by 4.

Usually 12! / (5*3*4) = 7983360 exceptionally interesting combinations.

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Answer:

Step-by-step explanation:

A horizontal line is given by an equation of the form Y = b

Notice that in both points the Y coordinate is the same no matter what value you choose for x

Y = -5

Answer:

2.42

Step-by-step explanation:

3 - 4/7 = 2.42

3 - 8/14 = 2.42

3 - 0.57 = 2.42

3 - 57.1 = 2.42

Breaking things down like this will make it easier to solve and get you answers faster!

Answer:

the extension is 540 miles long

Step-by-step explanation:

I-10=2460

2460+x=3000

subtract 2460 from both sides

x=540

the extension is 540 miles long