If DEF is congruent to JKL, DE = 18, EF =23, DF = 9x-23, JL = 7x-11, and JK = 3y-21, find the values of x and y

Answer:

Lets call the calories in one cup 'x'

so (3/4)x=90

Solving for x:

x=(90)/(3/4)

x=120

Now for 4 cups:

(4)(120)=?

480 calories in 4 cups of cereal

Answer: 480.

Step-by-step explanation:

3/4=90 so 1/4=30 so 30x4 is 120. 120=4/4=1 cup. 4 cups is 120x4=480, have a good day :D

Answer:

6.4 seconds

Step-by-step explanation:

you subtract roses time by Amys time to find the difference.

Answer:

D. |-10| < |12| < |-15| < |17|

10 is less than 12, which is less than 15, which is less than 17.

Step-by-step explanation:

A. |-10| |-10| > |-12| > |17|

12 is not greater than 17.

C. |10| > |-15| > |-5| > |2|

5 is not greater than 2.

Answer: -4,3

Step-by-step explanation: When you find slope of two points you do the change of y over x. Which basically means you subtract x and subtract y. Both values. -10-(-6) 10-7. -4,3.

Answer: 192 miles

Step-by-step explanation:

120/5=24

24*8=192

Answer:

4

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

Answer:

A system of equivalent equations is:

x + y = -3

2x - 8y = 2

Step-by-step explanation:

Given

2x + 2y = -6

x - 4y = 2

Required

Write a system of equivalent equations

A system of equivalent equations implies that:

When the new set of equation is solved, the solution is equivalent to the original equation.

To do this, we have to carry out the same operation on both sides of the given equation.

Take for instance

2x + 2y = -6

Multiply both sides by ½

½(2x + 2y) = -6 * ½

x + y = -3

x + y = -3 is equivalent to 2x + 2y = -6

Multiply both sides of x - 4y = 2 by 2

2(x - 4y) = 2 * 2

2x - 8y = 4

2x - 8y = 4 is equivalent to x - 4y = 2

Hence, a system of equivalent equations is:

x + y = -3

2x - 8y = 2

Note that there are more equivalent equations.

The results you get depend on the operation performed on the given equation.

Answer:

Not a function

Step-by-step explanation:

when plotted the points do not form a line

Answer:

no its not a function

Explanation:

A function is a relation (a set of ordered pairs) with the additional property that: no two pairs have the same first element and different second elements.

The definition is often stated as: A relation in which every x value is associated with exactly one y value. "Exactly one means one but two or more:

{(1,2);(2,3);(3,4);(2,5)} includes the points (2,3) and (2,5). Therefore these set of pairs are not a function.

\THE ANSWER IS 2 I WAS FIRST

Answer:

x-intercept = 6

y-intercept = -4

Slope: m = ⅔

f(3) = -2

Step-by-step explanation:

✔️The x-intercept is the value of x when y = 0. It is the point at which the line of the function intercepts the x-axis. Thus,

x-intercept = 6

✔️The y-intercept is -4. At this point, x = 0. The line intercepts the y-axis at y = -4. Thus,

y-intercept = -4

✔️Slope can be calculated using two points, (0, -4) and (6, 0).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-4)}{6 - 0} = \frac{4}{6} = \frac{2}{3} [/tex]

Slope: m = ⅔

✔️f(3) means, what is the value of y when x = 3.

From the graph, when x = 3, y = -2.

Therefore,

f(3) = -2

Answer:

1/3

Step-by-step explanation:

Area of a triangle = 1/2 x base x height.

Area of the shown triangle = 1/2 x 9 x 6 = 27 square inches.

Area of blue square = 3 x 3 = 9 square inches.

The probability of being in the blue are of the triangle = 9/27 which reduces to 1/3

Answer:

the answer is 143°

Step-by-step explanation:

120 - (-23) = 143

The difference between the highest and the lowest temperature will be 143 Fahrenheit.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the highest and lowest recorded temperatures for the state of Texas are 120°F and -23°F.

The difference will be calculated by forming the equation below:-

Difference  = 120 - ( -23 )

Difference  = 120 + 23

Difference  = 143

Therefore, the difference between the highest and the lowest temperature will be 143 Fahrenheit.

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Answer:

78.4

Step-by-step explanation:

You add them all up and divide by however many numbers there are.

Answer:

78.4

Step-by-step explanation:

To find the mean of something, you need to add all the values together, then divide the sum by the number of numbers there are.

The sum of all the numbers is 784, and there are 10 numbers.

So, the equation you need to solve is:

784 / 10 = ?

This equals 78.4, so the mean is 78.4.

Answer:

111.9 units

Step-by-step explanation:

Area of semicircle: 1/2(πr^2)

r = 3

1/2(π(3)^2)

33.92920065

Area of Rectangle: w * l

l = 13

w = 3(2)

13 * 3(2) = 13 * 6 = 78

Total:

78 + 33.9 = 111.9 units

Answer:

Step-by-step explanation:

total area = rectangle + semicircle

                = (13 x 6) + (1/2 π 3²)

                = 78 + 14.1

                = 92.1

Answer:

22.6°

Step-by-step explanation:

Reference angle = <FDE

Side opposite to <FDE = 5

Hypotenuse = 13

The trigonometric ratios to apply is:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

Plug in the values

[tex] sin(\angle FDE) = \frac{5}{13} [/tex]

[tex] sin(\angle FDE) = 0.3846 [/tex]

[tex] \angle FDE = sin^{-1}(0.3846) [/tex]

[tex] \angle FDE = 22.6 [/tex] (nearest tenth)

Answer:

Kinda cheesy:)

Step-by-step explanation:

If you what to give 2 friends candy and all you have is 8 pieces of candy, each friend will get 4 pieces of candy.

Answer:

1.197 * 10^3 lbs

Step-by-step explanation:

3.8 * 10.5 = 39.9 lbs each

Now, we multiply 39.9 by 30, which is 1197 lbs in total

In scientific notation, 1197 is 1.197 * 10^3

I hope this helped, please mark Brainliest, thank you !!

Answer:

114 × 10 ^ 5

Step-by-step explanation:

30: Number of whales

380,000: weight of each whale

30 × 38,000 = 11,400,000 total weight

Scentific notation: Expressing large numbers in a smaller way so

114 × 10 exp 5

Answer:

c=100g+50

Step-by-step explanation:

c is the total cost

there is a 50 dollar fee and 100 dollars per guest

so for every guest, the cost is increased by 100

since there are g number of gusts, the price for the guests will be 100g dollars

since there is also a 50 dollar fee, 50 dollars has to be added to the 100g

therefore c=100g+50

Answer:

[tex]r = \±\sqrt{14[/tex]

[tex]Product = -14[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2x} = \frac{r - x}{7}[/tex]

Required

Find all product of real values that satisfy the equation

[tex]\frac{1}{2x} = \frac{r - x}{7}[/tex]

Cross multiply:

[tex]2x(r - x) = 7 * 1[/tex]

[tex]2xr - 2x^2 = 7[/tex]

Subtract 7 from both sides

[tex]2xr - 2x^2 -7= 7 -7[/tex]

[tex]2xr - 2x^2 -7= 0[/tex]

Reorder

[tex]- 2x^2+ 2xr -7= 0[/tex]

Multiply through by -1

[tex]2x^2 - 2xr +7= 0[/tex]

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

[tex]b^2 - 4ac = 0[/tex]

For a quadratic equation

[tex]ax^2 + bx + c = 0[/tex]

By comparison with [tex]2x^2 - 2xr +7= 0[/tex]

[tex]a = 2[/tex]

[tex]b = -2r[/tex]

[tex]c =7[/tex]

Substitute these values in [tex]b^2 - 4ac = 0[/tex]

[tex](-2r)^2 - 4 * 2 * 7 = 0[/tex]

[tex]4r^2 - 56 = 0[/tex]

Add 56 to both sides

[tex]4r^2 - 56 + 56= 0 + 56[/tex]

[tex]4r^2 = 56[/tex]

Divide through by 4

[tex]r^2 = 14[/tex]

Take square roots

[tex]\sqrt{r^2} = \±\sqrt{14[/tex]

[tex]r = \±\sqrt{14[/tex]

Hence, the possible values of r are:

[tex]\sqrt{14[/tex] or [tex]-\sqrt{14[/tex]

and the product is:

[tex]Product = \sqrt{14} * -\sqrt{14}[/tex]

[tex]Product = -14[/tex]

Answer

y=4x-8

Step-by-step explanation:

m = 4

y- 12 = 4(x-5)

simplify and keep it in point-slop form

y=4x-8

Option D is correct, the region above of the line y=x/2-3 that we can write as  y>x/2-3

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We know by reading the exercise that the company estimates same day delivery as a region of the miles.

y>x/2-3

We need to represent this region in a graph.

One way is to find the graph of y=x/2-3

This line will divide the plane into two regions. Then, using any point that verifies the original equation  we can find the graph.

y=x/2-3

If x=0

y=-3

The point (0, -3)  is the interception of the line with y-axis.

Now if y=0

0=x/2-3

3=x/2

6=x

The point (6, 0) is the interception of the line with x-axis.

We know that  y>x/2-3 will be the region above of or below of the line y=x/2-3

Now using an arbitrary point (0,0), for example  and replacing in the expression :

0>-3

The point  (0, 0) verifies the expression. Therefore, this point belongs to the region.

Finally, we conclude that the region is the region above of the line y=x/2-3 that we can write as  y>x/2-3 and the correct option is D.

Hence , option D is correct, the region above of the line y=x/2-3 that we can write as  y>x/2-3

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Answer:

im guessing c. I got 5.833333333

Step-by-step explanation:

Answer:

Mixed number: 5 5/6. Decimal 5.8333333.

Step-by-step explanation:

3 1/2 x 1 2/3

(3 x 2) + 1 = 7/2

(1 x 3) + 2 = 5/3

7/2 x 5/3 = 35/6

35 ÷ 6 = 5 5/6.

So its C.

Answer:

1/3 or 2/6

Step-by-step explanation:

hope this helps :)

Answer:

14:16

Step-by-step explanation:

Answer:

8:7 or 8/7

Step-by-step explanation:

Ratios work the same as fraction because they can also be written as fractions therefore, the ratio 16:14 can also be written as 8:7 or 8/7

Answer:

120 mL of 10% HCL will be used.

Step-by-step explanation:

to solve this, we have to generate an equation for the mixture, to get the volume of 10% HCl needed.

Let the volume needed = x

5% of x + (20% of 60ml) = 10% of ( 60 + x) ml of new mixture

0.05x + (0.2 × 60) = 0.1 × (60 + x)

0.05x + 12 = 6 + 0.1x

12 - 6 = 0.1x - 0.05x

6 = 0.05x

x = 6 ÷ 0.05

x = 120

Therefore, 120 mL of 10% HCL will be used.

Answer:

Triangle A has one right angle

Step-by-step explanation:

a triangle can only have one right angle in it

this angle can be symbolized by the little square thing you see in the corner of the first picture

Answer:

new york

Step-by-step explanation:

it has the highest number