Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store. He bought an item that was half price. If the item originally cost $43, what did Dan pay?

Answer:

Bottom right equation

Answer:

d

Step-by-step explanation:

[tex]x 1= \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ x2 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ x1 = \frac{ - 2 + \sqrt{ {2}^{2} - 4\times 1 \times ( - 3)} }{2} = 1 \\ x2 = \frac{ - 2 - \sqrt{ {2}^{2} - 4 \times 1 \times ( - 3)} }{2} = - 3[/tex]

Answer:

d

Step-by-step explanation:

Solving by factorising

Given

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Answer:

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

The following examples to illustrate

[tex]\sqrt{2}[/tex] is irrational

[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 ← which is rational

[tex]\sqrt{3}[/tex] is irrational and

[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] ← which is irrational

Result is therefore sometimes

Answer:

Can you attach the figure?

Step-by-step explanation:

Answer:

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Step-by-step explanation:

A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:

[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]

[tex]x = \frac{\pi}{6}\,rad[/tex]

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Answer:

table 1: -4,0,4,8. table 2: -3,-1,1,3 table 3: 1/3,0,-1/3,-2/6

Step-by-step explanation:

Answer:

2 x 3 x 5

Step-by-step explanation:

30/2 = 15

15/3 = 5

5/5 = 1

Answer:

240 units^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

178^2 units

Answer:

97

Step-by-step explanation:

exterior angle property of triangle

64+33 equals 97

in other ways

By Angle sum property of triangle, the measure of 3rd angle is 83 and

angle 1 and 3rd angle are supplementary

so,

180 - 83 = 97

Answer:

34.98 yds²

Step-by-step explanation:

To find surface area, we add together the area of each side. We have six sides, but there are three sets of identical sides, so it's easier to calculate.

We begin with the sides with dimensions 2.40 and 2.50. Multiply these together.

2.40 · 2.50 = 6

Since there are two of these sides, we can already say that the combined area of them is 12. So, we start the equation with 12.

Next, the two sides with dimensions 2.34 and 2.50. Multiply these together as well, to get 5.85. Multiply this by two to find the area of both sides, 11.7.

Add to our equation, for 12 + 11.7.

For the final two sides, we have the dimensions 2.34 and 2.40. Multiply to get 5.64. Multiply this again by two to find the area of both sides. We get 11.28. Add this to the equation as well, for 12 + 11.7 + 11.28= 34.98.

The answer is 34.98 yds². Good luck :)

A is your answer just multiply it by 14 then add it by 5 it looks as if all sides are equal.

Answer:

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial.

Step-by-step explanation:

The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are two separate terms.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Let the two expressions are (a + b) and (c + d). Then the multiplication of the expressions will be given as,

⇒ (a + b) x (c + d)

⇒ a(c + d) + b(c + d)

⇒ ac + ad + bc + bd

The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.

More about the binomial expansion link is given below.

https://brainly.com/question/12249986

#SPJ2

Answer:

for the first one X=-5

for the second one it's a fraction so look at the picture

Answer:

1.101, 1.001, and 0.113

Step-by-step explanation:

the first on is the highest

plz leave a like and brainlest!! i need 10 to ask a quistion!!!

Answer:

               Tenths place is a zero

               ↓

0.113       1.001        1.101

↑

One's place is a zero

Answer:

ec and  obtuse triangle

Answer:

12cm

Step-by-step explanation:

pythagoras theorem

Find the unknown length

a

of right triangle.

Formula :

a

=

√

c

2

−

b

2

Solution :

a

=

√

13

2

−

5

2

=

√

169

−

25

=

√

144

a

=

12

Answer:

91.61

Step-by-step explanation:

A=πr2=π·5.42≈91.60884

hope this helps give me crown

Answer:

X= y/2-2

Step-by-step explanation:

Well to isoalte x just do the same thing you would do for y,

Isolate the numbers without a variable buy subtravting 4 on each side.

y-4=2x

Now isolate 2 and x by divide 2 on both sides

y/2-2=x

This can be determined by the simple mathematical concepts.  Therefore the value of x is,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]   the subject of he formula y=2x+4.

Given that the subject of the formula y=2x+4.

We have to find x.

According to the question,

To obtained the value of x by the  given formula

i.e.  y = 2x+4                   .....(1)

Now the value of x is from the above equation (1)...

[tex]\bold{x=\dfrac{y-4}{2} }[/tex]

Hence, the value of x ,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]    makes x the subject of the formula y=2x+4.        

For further details,please refer this link:

https://brainly.com/question/20632687

Answer:

11 is the answer

Step-by-step explanation:

8+7-4

15-4

11

on number positive 11 is the answer

its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point

Hi, Which math? Alegbra,calculus, or geometry?) lol

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

This is very simple. Any triangle embedded in a circle with it's long side as the diameter is a right triangle. Thus, x = 90°.

Answer:

68.3%

Step-by-step explanation:

Using the relation :

Zscore = (x - Mean) / standard deviation

For, x between 46 and 54

Zscore = ((54 - 50) / 4) - ((46 - 50) / 4)

P(Z < 4/4) - P(Z < -4/4)

P(Z < 1) - P(Z <-1)

0.84134 - 0.15866

= 0.68268

= 0.68268 * 100%

= 68.3%

Answer:

A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4. What percent of scores are between 42 and 58?

Step-by-step explanation:

about 95.4%

Answer:

39 degrees

Step-by-step explanation:

tan^-1(100/125)

=39 degrees (cor. to the nearest degree)

AnswThe answer would be 5 and 86

Step-by-step explanation:

sulitions are 5 and 86

Answer:

x = 1/5 , -3/5 ??

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume that:

Then, as the total weight of the mixture is 5 lb, thus:

[tex]x + y = 5[/tex]

18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea

Comparing in terms of weight, we get:

[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]

Thus, we get a system of two linear equations as;

[tex]x + y = 5\\4x + 3y =18[/tex]

From first equation,  getting x in terms of y:

[tex]x = 5 -y[/tex]

Substituting this in second equation, we get:

[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]

Putting this value in expression for x, we get:

[tex]x = 5-y = 5-2 = 3[/tex]

Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

Learn more about solutions of a system of linear equations here:

https://brainly.com/question/13722693