A company that makes​ hair-care products had 4,000 people try a new shampoo. Of the ​people, 32 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answer:

[tex] \frac{2}{3} a - \frac{1}{6} = \frac{1}{3} \\ \frac{2}{3} a = \frac{1}{2} \\ 4a = 3 \\ a = \frac{3}{4} [/tex]

Answer:

F(x)= 2x + 10

Step-by-step explanation:

F(×) represent the total amount she will get that week.

The 2 represents her dog bonus, x how many dogs she walked.

10 is the bare minimum she makes each week and it never changes.

Answer:

2

Step-by-step explanation:

The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.

All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.

The side proportions are the same.

x/2.5 = 6/7.5

solve for x:

7.5x = 15

x = 2

Answer:

Step-by-step explanation:

A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

Answer:

entonces no habria oxigeno

Step-by-step explanation:

Answer:

a) 3/4

b) 1/4

c) 1/2

d) 1/2

Step-by-step explanation:

A tosses one coin while B tosses two coins

a) P( B wins given A gets 0 heads )

In this scenerio for B to win, he needs to get at least 1 head i.e.  P( B gets at least one heads)

  =  1 - P(B get no head)

  =  1 -  (1/2)^2  = 3/4

b) P( B wins given A gets 1 head )

For B to win when A gets 1  head means that B will have to get 2 heads

i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4

c) P( B wins )

P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)

= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2

d) P ( B wins the new game )

Given that: A tosses two(2) coin while B tosses three(3) coins

P( B ) = P(A gets 0 head and B gets one head) +  P(A get 1 head and B get 2 or 3 heads )  +    P(A get 2 head and B gets 3 heads )

=[ (1/4 *(1 -1/8) ] +  (1/2 * 1/2)  +   ( 1/4 * 1/8 )= 1/2

Answer:

15 feet and 1 inch long

Step-by-step explanation:

add up the feet: 4+6+3= 13 feet

add up the inches: 5+9+11 = 25 inches

25/12= 2 feet 1 inch

13 feet + 2 feet + 1 inch= 15 feet 1 inch

Answer:

See the image below for answer:)

Step-by-step explanation:

Answer:

B. (1 ± sqrt(33)) / 4

Step-by-step explanation:

the 2 solutions for a quadratic equation

ax² + bx + c = 0

are defined as

x = (-b ± sqrt(b² - 4ac)) / 2a

in our example here we have

a = -2

b = 1

c = 4

=>

x = (-1 ± sqrt(1 + 32)) / -4 = (1 ± sqrt(33)) / 4

as we can easily divide top and bottom by -1 to turn the -1 and -4 into positive numbers, and the second top part, the square root, is a ± factor anyway. just withing the sign dues not change the fact that is is still a ± factor (both signs apply).

and now it is clear, it has to be option B.

the others disqualify because they have either no division by any form of 4, or the "1" and the "4" have different signs. but our equation shows they need to have equal signs (either both negative or both positive).

Answer:

The grapefruit is 18% heavier than the apple.

Step-by-step explanation:

Orange defines the 100% in this situation.

We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit   (in percentage)  will be: 100% + 8% = 108%

And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%

The difference between the two weights is then:

grapefruit - apple

108% - 90% = 18%

So the grapefruit is 18% heavier than the apple.

Answer:

80

Step-by-step explanation:

brainliest please ;>

9514 1404 393

Answer:

  (a)  64/25

Step-by-step explanation:

The relevant properties of exponents are ...

  a^0 = 1 . . . . a ≠ 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Your expression simplifies to ...

  [tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]

Answer:

Parallel means that the lines never intersect. If the equation of the new line is y=ax+b , then the system

y=ax+b

y=2x+5

needs to have no solutions. Subtracting the equations gives us

(a−2)x+(b−5)=0

In order for this to ever be 0 we need either a≠2 or b=5 , so to stop this from happening, we will require both a=2 and b≠5 .

Since our line now has the form y=2x+b , and (4,5) is on the line, then the equation

5=2⋅4+b

should be true. Since this implies that b=−3 , we have that the parallel line going through (4,5) has equation

y=2x−3

What is an equation of a line that goes through point (4,-5) and is parallel to y=2x+8?

Which line is parallel to the line y = 2x -4?

What is an equation for a line parallel to y = 5 x -5 and passing through the point (4,19)?

What is an equation for the line that is parallel to y= -4x

Answer:

question unclear

Step-by-step explanation:

this is unclear I have no idea what this

Answer:

I would say D

Step-by-step explanation:

if there was a 33 oz. bottle and Pedro uses it all for the car, maybe the other 3 oz is from the actual container and not the liquid inside.

Answer:

30

Step-by-step explanation:

Answer: go on mathaway!!!

Step-by-step explanation:

This dosent really help with ur question but mathaway is free and got me through math

Answer:

200000%

Step-by-step explanation:

.

Answer:

f(x)=7x+11

Step-by-step explanation:

15-4-7x= 7x+11. Sp y or f(x)= 7x+11

Answer:

36 minutes

Step-by-step explanation:

The equation to determine the time together is

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/90  + 1/ 60 = 1/c

Multiply each side by 180c to clear the fractions

180c( 1/90  + 1/ 60 = 1/c)

2c + 3c = 180

5c = 180

Divide each side by 5

5c/5 = 180/5

c =36

Answer:

2

Proof:

x^2 + 6x + 7 + 2 = x^2 + 6x + 9 = x^2 + 6x + 3^2 = (x + 3)^2

The value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2

"It is a polynomial which consists of three terms."

"A square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac"

For given question,

We have been given a square trinomial.

[tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]

We need to find the number in the blank space, so that the given trinomial would be complete square.

Let 'm' be the required number.

So, the trinomial would be [tex]x^2 + 6x + (7 +m)[/tex]

Comparing above square trinomial with [tex]ax^{2} +bx+c[/tex],

we have a = 1, b = 6, c = 7 + m

We know, a square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac

⇒ b² = 4ac

⇒ 6² = 4 × 1 × (7 + m)

⇒ 36 = 4 × (7 + m)

⇒ 9 = 7 + m

⇒ m = 2

This means, we need to add 2 in the blank space.

So, the square trinomial would be,

[tex]x^2 + 6x + 7 + \underline {2}\\\\= x^2 + 6x + 9\\\\= (x + 3)^2[/tex]

Therefore, the value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]  to complete the square is 2

Learn more about perfect square trinomial here:

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Answer:1380

Step-by-step explanation: 12x115

Answer:

1,380

Step-by-step explanation: 12 times 115 gives you the product of 1,380. :)

Hope this is helpful

Answer:

Step-by-step explanation:

In the given rhombus, the value of x is 18.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Diagonal bisect the angles of a rhombus.

Hence, We can formulate;

⇒ (2x + 16)° = (3x - 2)°

Solve for x as;

⇒ 2x + 16 = 3x - 2

Subtract 2x both side,

⇒ 2x + 16 - 2x = 3x - 2 - 2x

⇒ 16 = x - 2

Add 2 both side,

⇒ 16 + 2 = x - 2 + 2

⇒ 18 = x

⇒ x = 18

Thus, The value of x in rhombus = 18

Learn more about the mathematical expression visit:

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Answer:

1/52

Step-by-step explanation:

theres 52 cards and there is only one three of squares so there is a 1/52 chance

Answer:

3/52

Step-by-step explanation:

9514 1404 393

Answer:

  65°, 35°, 90°, 115°, 80°

Step-by-step explanation:

There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.

A: 0 or 180

B: 65 or 115

C: 90

D: 145 or 35

E: 180 or 0

__

Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.

arc AOB = 65 -0 = 65°

arc DOE = 35 -0 = 35°

arc AOC = 90 -0 = 90°

arc EOB = 115 -0 = 115°

arc DOB = 145 -65 = 80°

Answer:

24 months

Step-by-step explanation:

Given :

Mean = 48

Standard deviation = 8

Zscore = - 3

Using the relation :

Zscore = (x - mean) / standard deviation

Where, x = score

-3 = (x - 48) / 8

-3 * 8 = x - 48

-24 = x - 48

-24 + 48 = x

24 = x

Score = 24

Answer:

Hello There!!

Step-by-step explanation:

The answer is 0. The number is 3 and you move 3 units to the left which is toward the negative numbers sides below zero which equals the answer as 0. [3-3=0.]

hope this helps,have a great day!!

~Pinky~

Step-by-step explanation:

7On a number line what nomber is 3 units to the left of 3

Answer:

-7

Step-by-step explanation:

3 v + 2 x

3 ( - 1) + 2 ( -2)

-3 - 4

-7

Answer:

d

Step-by-step explanation:

Answer:

Area = 20yd

Perimeter = 23 yd

Step-by-step explanation:

Area = 1/2 ×bh

b, which I the base = 10yd

h, which is the height = 4yd

Note: 5yd is the base because when you turn the triangle you will see that 10yd is the base and 5yd is the height not 8yd because 8 yd is not a straight line at a right angle

Therefore;

Area = 1/2× 10 × 4

= 1× 5 × 4

= 20yd

Perimeter = 8yd +5yd +10yd

= 13yd + 10yd

= 23yd

Question:

c=3x+80  

R=12x- 0.02x^2

R= revenue  

C=cost  

X=items sold  

A) 9x-(0.2x^2+80)

B) x(9-0.2x)-80  

C) x(9-0.02x)

D) 9x-0.02x^2+80

Answer:

c) x(9-0.2x)

is the correct answer

PLZ MARK BRAINLIEST

Answer:

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]