Type the correct answer in each box. Use numerals instead of words. The sum of two numbers is 84. The square of the first number is 6 more than the second number. Write a system of equations to find the value of x, the first number, and y, the second number.

y = -x + ____
y = x^2 + ____​

Answer:

x = - 5

Step-by-step explanation:

Given

5x + 7 = 2x - 8 ( subtract 2x from both sides )

3x + 7 = - 8 ( subtract 7 from both sides )

3x = - 15 ( divide both sides by 3 )

x = - 5

Answer:

hypotenuse =

[tex] \sqrt{a {}^{2} } + b {}^{2} [/tex]

=

[tex] \sqrt{} 24 {}^{2} + 10 {}^{2} [/tex]

= 26mi

Answer:

First choice

Step-by-step explanation:

Angles A and D are vertical angles

Angles A and Z are alternate exterior angles

Answer:

Box C

Step-by-step explanation:

Given

See attachment 1 for the maze

Required

The area to place the food in order to help the rat win

To answer this question, we make use of the concept of probability (see attachment 2)

From the starting point to the first joint:

Each of the three ways have the same probability of 1/3

1. If the car passes the way at the top, there are two additional joints.

1.1 Each of the two joints (top and bottom) have the same probability of 1/6 (i.e. divide 1/3 by 2)

1.2 The bottom joint also splits to two (each of these ways have a probability of 1/12; i.e. divide 1.6 by 2)

2. If the car passes the way at the middle, there are two additional joints.

Each of the two joints (top and bottom) have the same probability of 1/6 (i.e. divide 1/3 by 2)

3. If the car passes the way at the bottom, there are three additional joints.

Each of the three joints have the same probability of 1/9 (i.e. divide 1/3 by 9)

Next, is to sum up the probability of each box.

For Box A

[tex]P(A) = \frac{1}{6} + \frac{1}{12} + \frac{1}{9}[/tex]

Take LCM

[tex]P(A) = \frac{6+3+4}{36}[/tex]

[tex]P(A) = \frac{13}{36}[/tex]

[tex]P(A) = 0.361[/tex]

For Box B

[tex]P(B)= \frac{1}{12} + \frac{1}{6}[/tex]

Take LCM

[tex]P(B)= \frac{1+2}{12}[/tex]

[tex]P(B)= \frac{3}{12}[/tex]

[tex]P(B)= 0.250[/tex]

For Box C

[tex]P(C) = \frac{1}{6} + \frac{1}{9} + \frac{1}{9}[/tex]

Take LCM

[tex]P(C) = \frac{3+2+2}{18}[/tex]

[tex]P(C) = \frac{7}{18}[/tex]

[tex]P(C) = 0.389[/tex]

From the calculations above, box C has the highest probability of 0.389 compared to 0.250 (of box B) and 0.361 (of box A)

Hence, the food should be placed in Box C

Answer:

The answer is, q = 16.

Step-by-step explanation:

1) Divide both sides by 3.

[tex]q - 7 = \frac{27}{3} [/tex]

2) Simplify 27/3 to 9.

[tex]q - 7 = 9[/tex]

3) Add 7 to both sides.

[tex]q = 9 + 7[/tex]

4) Simplify 9 + 7 to 16.

[tex]q = 16[/tex]

Therefor, the answer is q = 16.

Answer:

q=16

Step-by-step explanation:

To solve this problem, you'll want to start by distributing the 3 to both q and -7, which will give you 3q-21=27. Then, you should add 21 to both sides, which will get the variable alone on one side of the equation. After that step, your equation should be 3q=48. Lastly, divide both sides by 3, which will give you the answer q=16!

Answer:

x = 45 degrees

Step-by-step explanation:

The angles in a triangle adds up to 180 degrees

105 + 30 + x = 180

==>

x = 180-135=45

So there is a graph is the comment ima bout to give put equation in and tada!

Answer:

20a²b-8ab= 4ab(5a -2b)

Answer:

[tex]\large\boxed{\mathtt{x^{4}}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to simplify the expression.}[/tex]

[tex]\large\underline{\textsf{According to PEMDAS;}}[/tex]

[tex]\textsf{We should first remove the exponent by multiplying the values in the parentheses}[/tex]

[tex]\textsf{by themselves 4 times.}[/tex]

[tex]\tt (x+1)^{4}=(x+1)\times(x+1)\times(x+1)\times(x+1)[/tex]

[tex]\textsf{Evaluate the product, then multiply that product by 16.}[/tex]

[tex]\large\underline{\textsf{Remember that PEMDAS is;}}[/tex]

[tex]\textsf{Parentheses first; (?)}[/tex]

[tex]\textsf{Exponents next;} \ \tt y^{2}[/tex]

[tex]\textsf{Multiplication or Division next;} \ \mathtt{ \times / \div}[/tex]

[tex]\textsf{Addition or Subtraction last;} \ \mathtt{ +/-}[/tex]

[tex]\textsf{PEMDAS is \underline{always} in this order.}[/tex]

[tex]\large\underline{\textsf{For our Expression;}}[/tex]

[tex]\tt 16(\frac{1}{2} x)^{4}[/tex]

[tex]\underline{\textsf{This expression is the same as;}}[/tex]

[tex]\tt 16 \times (\frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x)[/tex]

[tex]\textsf{According to PEMDAS, simplify what's in the parentheses first.}[/tex]

[tex]\underline{\textsf{We should have;}}[/tex]

[tex]\tt 16 \times (\frac{1}{16}x^{4})[/tex]

[tex]\textsf{16 and 1/16 are reciprocals, so they \underline{cancel} each other out.}[/tex]

[tex]\large\underline{\textsf{Hence, our final answer should be;}}[/tex]

[tex]\large\boxed{\mathtt{x^{4}}}[/tex]

1) Answer:

[tex] \frac{7}{24} [/tex]

2) Answer:

[tex] \frac{5}{6} [/tex]

3) Answer:

[tex]1 \frac{4}{5} [/tex]

4) Answer:

[tex] \frac{1}{12} [/tex]

hope it helps.

Answer:

1.) 7/27

2.)5/6

3.)9/5

4.)1/12

Answer: A. 5x+x+18 = 180

Step-by-step explanation:

For B you need to find the value of x first.

5x + x + 18 = 180 is your equation.

Combine like terms: 5x+x = 6x

Equation should now look like this

6x + 18 = 180

Subtract 18 to both sides 180-18 = 162

Do 162/6 = 27

X = 27

WE ARE NOT DONE!!!!!

1. 5(27) = 135

2. 27+18 = 45

Angle 1 = 135

Angle 2 = 45

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: F \: I \: N \: D}}}} : [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{L \: E \: T\:' S \: \: S \: O \: L \: V \: E}}}} : [/tex]

[tex] \large{ \tt{ \cos( \theta) = \frac{b}{h}}} [/tex]

⇢ [tex] \large{ \tt{cos \: x = \frac{5}{8}}} [/tex]

⇢ [tex] \large{ \tt{x \ = {cos}^{ - 1} ( \frac{5}{8} )}}[/tex]

⇢ [tex] \large{ \tt{x \: = \boxed{ \tt{0.99 \degree}}}}[/tex]

☥ [tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \underline{ \tt{0.99 \degree}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ツ

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

51.32°=x°

Step-by-step explanation:

relationship between base and hypotenuse is given by cos angle

cos x=b/h

x=cos-¹(5/8)=51.318

Answer: 5

Step-by-step explanation:

Answer:

(3x+1)(5x-2)

Step-by-step explanation:

Given the expression

15x^2-6x+5x-2

Factorize;

3x(5x-2)+ 1(5x-2)

(3x+1)(5x-2)

Hence the factorized form is (3x+1)(5x-2)

Answer:

186.75 feet in 2,241 inches

Step-by-step explanation:

Answer:

186.75 Feet.

Step-by-step explanation:

Answer:

This is not a function. Graphs cannot have the same x value and different y values.

Answer:

4e-12=36

4e=36+12

4e=48

e=12

Step-by-step explanation:

pasos

1mover la constante a la derecha añadiendo su opuesto en ambos lados (+12 +12)

2debido a que dos opuestos sumados dan cero, remuévenos la expresión es decir (4e=36+12)

3sumar los números es decir sumar (36+12)

4divide ambos lados de la ecuación entre 4 es decir (4e/4 =48/4)

5cualquier expresión dividida entre si es igual a 1

6calcular el cociente es decir (48/4 e=12)

Answer:

12

Step-by-step explanation:

4e=36+12

4e=48

e=12

hope it helps

Answer:

129168

Step-by-step explanation:

they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options.

Number of 4 course meal ( all unique) that can be made

=13C1×23C1×24C1×18C1

= 13×23×24×18 = 129168

Hence, [tex]129168[/tex] unique [tex]4-[/tex]course meals can be created.

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations.

Given that,

[tex]13[/tex] appetizer   [tex]23[/tex] soup    [tex]24[/tex] entree   [tex]18[/tex] dessert

[tex]4-[/tex]course meal can be prepared as follows:

[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}[/tex]   (use combination for each given)

Note: [tex]n_C_{r} =[\frac{n!}{r!(n-r)!} ][/tex]

[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}\\=13\times23\times24\times18\\=129168[/tex]

Learn more about the topic of Combination: https://brainly.com/question/11732255

x/(12 m) = sin17°

x/(12 m) = 0,2924 / * 12 m

x ≈ 3,5 m

Answer:

yes

Step-by-step explanation:

none of the sides are equal angle triangle:so there aren't the same triangles

Answer:

Write the problem as a mathematical expression.

y=−x²+18x−72

Rewrite the equation in vertex form.

y=−(x−9)²+9

Use the vertex form, y=a(x−h)2+k , to determine the values of a, h, and k.

a=−1

h=9

k=9

Find the vertex (h,k).

(9,9)

Good Luck !

Step-by-step explanation:

Complete question :

Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 1/4 square foot. How many squares is the wall divided into?

Answer:

96

Step-by-step explanation:

Given that:

Total area of wall = 24 ft²

Area of each division =. 1/4 ft²

Number of division = x

The number of divisions * area of each division = total area of wall

x * 1/4ft² = 24ft²

Divide both sides by 1/4 ft²

x = 24ft² ÷ 1/4 ft²

x = 24 * 4 /1

x = 96

Hence, wall is divided into 96 squares