solve the following: x+5=11 x-6=8 3+x=7 12=x+5

Answer:

OD.0

Step-by-step explanation:

because 2(X+4)-1 = 2x+7

or, 2x+8-1 = 2x+7

or, 2x+7= 2x+7

and it cancels out eachother so it will be 0

The equation 2(x + 4) - 1 = 2x + 7 has infinite solutions

The equation is given as:

2(x + 4) - 1 = 2x + 7

Open the bracket

2x + 8 - 1 = 2x + 7

Evaluate the difference

2x + 7 = 2x + 7

Both sides of the equation are the same.

Hence, the equation has infinite solutions

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Answer:

The events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Step-by-step explanation:

Given

--------------Logo A --- Logo B ---Total

Students ----- 67----------33--------100

Teachers ----- 11 ----- ----- 14 -----  25

Total ----- ------78-----------47--------125

Required

Determine if being a student and preferring logo A are independent events

Let P(S) represent probability of being a student

Let P(Logo A) represent probability of preferring logo A

Let P(S n Logo A) represent probability of  being a student and preferring logo A

To determine if they are independent, we have to calculate

P(S), P(Logo A) and P(S n Logo A)

P(S) = Total Students / Total Population

[tex]P(S) = 100/125 = 0.8[/tex]

P(Logo A) = Total that prefers Logo A / Total Population

[tex]P(Logo\ A) = 78/125 =0.624[/tex]

P(S n Logo A) = Number of students that prefer logo A /  Total Population

[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]

If the events are independent, then the following condition must be satisfied

[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]

Substitute the values of P(S), P(Logo A) and P(S n Logo A)

[tex]0.536 = 0.8 * 0.536[/tex]

[tex]0.536 \neq 0.4288[/tex]

Since they are not equal, then the events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Answer: b

Step-by-step explanation: just took the quiz

Answer:

Please find attached the graph of the following function;

[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

Answer:

Step-by-step explanation:

Area of a trapezoid = 1/2(a + b) × h

where

h is the height

a and b are the other sides

From the question

h = 3 feet

a = 5 feet

b = 7 feet

Area = 1/2(5+7) × 3

= 1/2 ( 12) × 3

= 6 × 3

The answer is

= 18

Hope this helps you.

Answer:

x = 27

Step-by-step explanation:

Step 1: Write out equation

54 + 6x = 216

Step 2: Solve for x

6x = 162

x = 27

Answer:

x=27

Step-by-step explanation:

54+6x=216

Collect like terms:

6x=216-54

6x=162

Divide both sides by the coefficient of x

6x\6=162\6

x=27

Answer:

(8.5+x)×2=24

8.5+x=12

x=3.5

Answer:

Breadth = 3.5cm

Step-by-step explanation:

Perimeter = 2L + 2B

24cm = 2(8.5) + 2B

2B = 24 - 17

B = 7÷2

B = 3.5

Answer:

A)21

B) 70

C)89

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=180° - 110° =70°

a = 21°

C= 180° - b - a= 180 - 70 - 21= 89°

[tex]good \: luck[/tex]

Answer:

a= 5    and   b=1

Step-by-step explanation:

To solve, we will follow the steps below:

2x + 3y = 7

(a-b)x + (a+b)y = 3a + b - 2​

We should note that since it has infinitely many solutions then,

[tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]

Hence

2/a-b  =  3/a+b   =     7/3a +b-2

2/a-b  =  3/a+b

cross-multiply

3(a-b) = 2( a+b)

open the bracket

3a - 3b = 2a + 2b

collect like term

3a - 2a = 2b + 3b

a = 5b  -------------------------------------------(1)

Similarly

3/a+b   =     7/3a +b-2

cross-multiply

7(a+b)  = 3(3a+b -2)

7a + 7b = 9a + 3b -6

take all the variables to the left-hand side of the equation

7a - 9a+ 7b-3b =   -6

-2a + 4b = -6 ---------------------------------(2)

but a = 5b

substitute a= 5b in equation (2)   and solve for b

-2(5) + 4b = -6

-10  +  4b  = -6

add 10 to both-side of the equation

-10  + 10+ 4b  = -6+10

4b = 4

divide both-side of the equation by 4

b = 1

substitute b= 1 in equation (1)

a = 5b

a =5(1)

a=5

Therefore,   a= 5    and   b=1

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Assign the largest value to 'c'

If a² + b² = c² , then it is right triangle

If a² + b² > c², then it si acute triangle

If a² + b² < c² , then it is obtuse triangle

Here, a = 9 , b = 12 & c = 18

a² + b² = 9² + 12²

           = 81 + 144

a² + b² = 225

c² = 18²

c² = 324

a² + b² < c²

225 < 324

So, 9, 12 , 18 form a obtuse triangle

Answer:

Step-by-step explanation:

y=4x^2-7

vertex(0,-7)

Answer:

14 and 4

Step-by-step explanation:

xy = 56

x - y = 10

x = 10 + y

(10+y)y = 56

10y + y² = 56

y² + 10y - 56 = 0

(y-4)(y+14) = 0

y - 4 = 0

y = 4

y + 14 = 0

y = -14

y is a positive integer so y = 4.

x - 4 = 10

x = 14

The two numbers whose product is 56 and difference is 10 are 14 and 4

A = 14

B = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = A

Let the second number be = B

The product of two numbers is = A x B

The difference of two numbers is = A - B

Now , the equation is

A x B = 56

A - B = 10

Now ,

( A - B )² = A² + B² - 2 ( A x B )

Substituting the values of A and B in the equation , we get

100 = A² + B² - 112

Adding 112 on both sides , we get

A² + B²  = 212

When A = 14

B² = 212 - 196

B² = 16

So , B = 4

Therefore , the value of A is 14 and value of B is 4

Hence , The two numbers whose product is 56 and the difference is 10 are 14 and 4

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Answer:

B 120 cubic centimetres

Answer:

72

Step-by-step explanation:

Angle XYZ is an inscribed angle. An inscribed angle is equal to half of its arc.

144/2 is 72.

The value of XYZ is 72.

Answer:

It is a reflection over the y-axis (D)

Step-by-step explanation:

Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.

Answer:

reflection over y axis

Step-by-step explanation:

did it on usatestprep and made a 100

Answer: #1  A=9    #2  Naomi started with 6 bushels

Step-by-step explanation:

4A-1 = 3A + 8   Subtract 3A from both sides  4A -3A -1 = 3A-3A + 8 to get

A -1 = 8    Add 1 to both sides   A -1 + 1  = 8 + 1 to get

A = 9 .   Check by substituting 9 in place of A

4(9) - 1 = 3(9) + 8   multiply: 4×9 = 36 . 3×9=27

36 -1  =  27 + 8     do the subtraction and addition

35 = 35 .True.  

Part 2:   The original number plus 5 equals 11

B + 5 =  11 .  . Subtract  5 from both sides

B +5 -5 = 11 -5

B = 6

Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.

Answer:

They made 36 three-point field goals

Step-by-step explanation:

For free throws , we have one point each.

So here, the total points they made from free throws is 22 * 1 = 22 points

So the number of points made from field goals would be 184-22 = 162 points

So the issue we have now is knowing the number of 3-point field goals that was made.

How can we get this?

Remember they made 85 baskets? so if we subtract the number of free throws, then we can have the number of field throws and that is 85-22 = 63

Now, let the number of 2 points throws be x and the number of 3 points throws be y

From our earlier analysis;

x + y = 63 ••••••••• (i)

Now the total number of three pointers would be 3 * y = 3y and the total number of two pointers would be 2 * x = 2x

Adding both gives a total of 162

Thus;

2x + 3y = 162 •••••••• (ii)

So we have two equations to solve simultaneously.

From equation 1, we can say that;

x = 63-y

Let’s substitute this into equation 2

2(63-y) + 3y = 162

126 -2y + 3y = 162

126+y = 162

y = 162-126

y = 36

This means that they made 36 three-point field goals

Answer:

a) 60 degrees

Step-by-step explanation:

b) The triangle shown is an equilateral triangle as all the sides are the same. This means that all the angles are the same as well.

Angles in a triangle add up to 180 degrees. There are 3 angles. Each angle is 60 degrees.

Angle x is an exterior corresponding angle and hence, that is why x = 60 degrees.

Answer:

All of the measures of the interior angles of an equilateral triangle are 60°. Because x and 60° are alternate interior angles of parallel lines, this means that they are equal, therefore x = 60°.

Answer:

11

Step-by-step explanation:

3 times 11 gives you 33 which would be the product

3 x 11 = 33

subtract the 12(twelve) from the 33(product)

33 - 12 = 21

Answer:

f = -5/3

Step-by-step explanation:

-3/4f = 5/4

Multiply each side by -4/3 to isolate f

-4/3*-3/4f = 5/4*-4/3

f = -5/3

Answer:

Hey there!

We have -3/4f=5/4

Multiply both sides by -4/3, to cancel out the -3/4.

f=-5/3

Hope this helps :)

Answer:

Step-by-step explanation:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5,

T = -m - 3n + 8.

Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)

Q + S - T = 7m + 3n + n + 5 + m + 3n - 8

Q + S - T = 8m + 7n - 3

Answer:

5/9

Step-by-step explanation:

There are 9 total combinations and 3 of them include a burger, 2 of them that have salad but not a burger. If you add them together it equals 5/9

The probability of selecting a combination that includes a burger or a salad is 5/9

Since the total of 6 outcomes include fries or fruit as the side dish.

There is a total of 9 possible meal combinations. A person must choose an Entree and a side dish.

The Entrees consist of burgers, tacos, and pizzas.

The side dishes consist of salad, fries, and fruit.

To find the number of combinations consisting of fries or fruit, we calculate the individual combinations.

With fries as side dish, which can choose a burger, a pizza or a taco as your Entree.

There are 3 combinations each, there are a total of 6 combinations with fruit or fries as the side dish.

There are 9 total combinations and 3 include a burger, rest 2 that have salad but not a burger.

then probability = 5/9

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Answer:

Option B

Step-by-step explanation:

Area of kite = product of 2 diagonals, p and q / 2

here, p = 10 + 10 = 30 feet

q = 3 + 3 = 6 feet

∴ Area = 30 × 6 / 2

90 ft^2

Hope it helps

plz mark as brainliest!!!

Answer:

[tex]\boxed{Area = 90 ft^2}[/tex]

Step-by-step explanation:

Diagonal 1 = p = 3+3 = 6 ft

Diagonal 2 = q = 10+20 = 30 ft

Area = [tex]\frac{pq}{2}[/tex]

Area = [tex]\frac{(6)(30)}{2}[/tex]

Area = 3*30

Area = 90 ft^2

Answer:

1

Step-by-step explanation:

Because the pre image and dilated image are congruent, the scale factor is 1.

Answer:

D. 127.5 square units

Step-by-step explanation:

AC=17

BD=15

AB=11.5

Diagonal (1&2) are given, base of the rhombus is also given.

Height is not given

Area of a rhombus given the diagonals

=1/2×d1×d2

Where,

d1=AC=17

d2=BD=15

Area of a rhombus=1/2×d1×d2

=1/2×17*15

=1/2×255

=127.5

D. 127.5 square units

Answer:

D for sure

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Since pink dots is the highest(30) and Purple is second highest so purple must be close to 30.

The requried, height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
Since the vertical axis of the bar graph is marked off in percentages, we can determine the height of each bar by multiplying its frequency by 2, since 50 students were surveyed (i.e., 100% of the sample size).

The frequency of the purple color pattern is 11, so its height on the bar graph is 11*2 = 22.

Therefore, the height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

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Answer:

x = 10

Step-by-step explanation:

One of the smaller angles that is created by the angle bisector measures 5x+4.

An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or

2(5x+4)=108 (divide both sides by 1/2)

10x+8=108 (distribute)

10x=100 (subtract 8 from both sides)

x=10 (divide by 10)

x=10

Answer:

Step-by-step explanation:

Let the number be x

5/9 of the number is 90

Which is

5/9 of x = 90

5/9 × x = 90

5/9x = 90

Multiply through by 9

That's

5x = 810

Divide both sides by 5

5x/5 = 810/5

x = 162

Therefore the number is 162

Hope this helps you

Answer:

$ 84.50

Step-by-step explanation:

Regular price = $130

Discount = 35% of 130

               = [tex]\frac{35}{100}*130[/tex]

              = 0.35 * 130

             = $ 45.50

Price of the sunglasses after discount = Regular price - discount

                                                               = 130 - 45.50

                                                              = $ 84.50