if x =6 + y and 4x = 3 -2y, then x=

Answer: A

Step-by-step explanation:

Using pythagoras;

[tex]25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24[/tex]

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Answer:

Step-by-step explanation:

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2​. While if a, b, and c are the sides of the triangle, then ​c2 = a2 + b2.

√(25²-7²) =

√(625-49)=

√576=

24

The fraction 1/2 converts to 0.50 in decimal form.

The mixed number 15 & 3/4 is the same as 15.75

If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.

Multiply by 8 to find the total number of pizzas possible.

8*15.25 = 122

Calvin can make 122 pizzas in an 8-hour shift with Megan.

Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:

Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.

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Step-by-step explanation:

I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :

it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).

but in order to be a function, every input value must have exactly one resulting output value. which is violated here.

Your answer should be 724 cents, in dollars that is $7.24

Step-by-step explanation:

from the cents is shoes be 724 and the dollars souls be $7.24

Answer:

A = 2 pi R^2 + 2 pi R h         total surface area

R^2 = 48       2 pi R = 8 * 6^1.2     given

56 pi 6^1/2 - 2 pi R^2 = 2 pi R h     f rom first formula

28 *  6^1/2 /  R - R = h          divide by 2 pi r

28 *  6^1/2 /  R  = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2

h = 7 * 2^1/2 - 4 * 3^1/2

Two other expressions that also represent the relationship shown in the table are;

According to the question;

In essence, to write two other expressions that also represent the relationship shown in the table; we can rearrange the terms in the expression Andre wrote (-2 + 4x = 3) as follow;

First expression is;

Second expression is;

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Answer:

9 cm

Step-by-step explanation:

→ Remember how many sides a square has

4

→ Divide it by the perimeter

36 ÷ 4 = 9

Step-by-step explanation:

you know what a square is ?

it is a closed shape with 4 sides.

all 4 sides are equally long.

all 4 inner angle are 90 degrees.

you know what a perimeter is ?

it is the circumference, the whole way one time around the shape, around the outline of a given structure.

if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.

don't wait. don't be afraid or ashamed.

because this here is an extremely simple problem to solve, once you understand the words used.

so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.

36 = 4×side

side = 36/4 = 9cm

so, each side of the square is 9cm long.

Answer:

13:6 ; 9:4 ; 5:2 ; 20:7 ; 10:3

Step-by-step explanation:

Answer:

x = 15 inches

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]

Answer:

1.1

Step-by-step explanation:

slope = (-4-7)/(-6-4)= -11/-10 = 1.1

Answer:

A 3.00/12=.25 ea

B 7.50/3=2.50/1lb

C 2.00/4=.50ea

S 3.50/10=.35/ea

Here you go! Hope it helps.

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Answer:

8/12 and 9/12

Step-by-step explanation:

Answer:

a reflection over the line y=-x

Step-by-step explanation:

Answer: (1,-4)

Step-by-step explanation:ssghvssd5633

Answer:

5+4+3=12

708/12=59

59*5=295

59*4=236

59*3=177

Arline=295, Mariana=236, Sue=177

Step-by-step explanation:

Answer:

O is a whole number.

Step-by-step explanation:

Answer:

0 is not a natural number, it is a whole number.

Step-by-step explanation:

Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).

Answer:

Base= 6

Height= 10

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Let the base be 3x and the height be 5x.

Given that the area is 30,

½ ×base ×height= 30

½(3x)(5x)= 30

Multiply both sides by 2:

3x(5x)= 60

15x²= 60

x²= 60 ÷15

x²= 4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2

(reject x= -2 since length has a positive value)

Length of base

= 3x

= 3(2)

= 6

Length of height

= 5x

= 5(2)

= 10

Answer:

(-4.5, 2.5)

Step-by-step explanation:

The solution for two graphed linear equations is the intersection (The point where two lines meet or cross).

Answer:

1) 2

2) 1

3) 8

Step-by-step explanation:

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Answer:

(a) SSS

................................

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

[tex]\frac{-7}{2(1)} =\frac{-7}{2}[/tex]

Vertex:

[tex]y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}[/tex]

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

[tex]y= 0^{2} +7(0) -8\\\\y= -8\\[/tex]

Answer:

Proof is shown below.

Step-by-step explanation:

Use quadratic Formula, where from the standard form ax^2 + bx + c = 0, where a is not zero, we identify a = p-1, b=4, c = p-5, and since the given equation has no real roots, the discriminant b^2 - 4ac < 0, so that substituting we have that,

4^2 - 4(p-1)(p-5) < 0

16 - 4(p^2 - 6p + 5) < 0

16 - 4p^2 +24p - 20 < 0

-4p^2 + 24p - 4 < 0,

p^2 - 6p + 1 > 0, by dividing both sides of the inequality by -4.  

Answer:

[tex]\sf\bold \longmapsto \: Tan \: P = \frac{15}{8} [/tex]

Step-by-step explanation:

We know,The formula of Tan ∅ is–

[tex]\sf\longmapsto \: \tan = \frac{opposite}{adjacent} [/tex]

Therefore,Tan P will be Option D

[tex]\sf\longmapsto \: \frac{15}{8} [/tex]

Answer:

In slope-intercept form, y = -17/34 - 34

Step-by-step explanation:

For the two points, you have (-68, 0) and (0, -34). To get the slope, you take (y-y) / (x-x). Stay consistent on the order you do those. After I did (-34 - 0) / (0 - 68), simplified it, and got a slope of -17 / 34. You are already given the y-intercept, so you just write the equation from there (y = -17/34 - 34)

Answer:

C.

Step-by-step explanation:

After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.

Answer: C.

Answer:

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Step-by-step explanation:

44640

Answer:

31 days =

44640 minutes

Step-by-step explanation:

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