Juan went to the store to buy some apples. The price per pound of the apples is $4 per pound and he has a coupon for $1.25 off the final amount. With the coupon, how much would Juan have to pay to buy 4 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.

Answer:

[tex]LO = OT = 8cm[/tex]

Step-by-step explanation:

Given

LT = 16cm

Required

Determine LO and OT

First, we have:

[tex]LO + OT = LT[/tex]

From the question, we understand that O is the middle of LT

This implies that LO = OT

Substitute OT for LO in the above formula

[tex]OT + OT = LT[/tex]

[tex]2OT = LT[/tex]

Divide both sides by 2

[tex]OT = \frac{1}{2}LT[/tex]

Substitute 16cm for LT

[tex]OT = \frac{1}{2} * 16cm[/tex]

[tex]OT = 8cm[/tex]

Recall that LO = OT

So;

[tex]LO = OT = 8cm[/tex]

Step-by-step explanation:

From graph of g(x), it is observed that y - intercept is 6.

Therefore,

[tex]6 = 2(3)^{0} + k[/tex]

[tex]k \: = 4[/tex]

The value of k is equal to 4

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here the functions  f(x)=2(3)ˣ and g(x)=f(x)+k when x=0 we get

f(0)=2  and from the graph we can clearly observe that g(0)=6

Thus putiing in the values we get k=4

Hence, The value of k is equal to 4

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Answer:

2:45

Step-by-step explanation:

Answer:

The answer to this is 3x+8

Answer:

x + 4

Step-by-step explanation:

Factor the polynomial.

6 (x+4)^2

Answer: Three gallons will be enough to make 128 servings.

Step-by-step explanation: In Three gallons there are 64 cups. if 5 cups makes 10 servings, that is 1/2 cup per serving. So 64 cups will make 128 servings.

Answer:

Step-by-step explanation:

the length of EG is 6 so G is 6 units away from E. If E is at 3, then G is at 3+6 = 9

X is 12 units away from E so X is at 3 + 12 = 15

This assumes you are not using negative numbers.

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Number line are used to represent numbers on a line at regular intervals. The possible coordinates of G is either 10 or -14.

Given that:

[tex]G = 2[/tex]

[tex]EG = 12[/tex]

The equation that calculates EG is:

[tex]EG = |E - G|[/tex]

So, we have:

[tex]12 = |2 - G|[/tex]

Remove absolute brackets

[tex]2 - G = \± 12[/tex]

Add 2 to both sides

[tex]-G =2 \± 12[/tex]

Rewrite as:

[tex]G =-2 \± 12[/tex]

Split

[tex]G =- 2 - 12[/tex] or [tex]G = -2 + 12[/tex]

[tex]G = -14[/tex] or [tex]G = 10[/tex]

The possible coordinates of G are: 10 or -14.

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The original price is 100%, a 15% discount means the shoes are now ( 100-15 = 85) 85% of the original price,.

Multiply the original price by 85%

60 x 0.85 = 51

The price is $51

Answer:

$51

Step-by-step explanation:

15% discount means that the new price is 85% of the original one. Therefore we just need to multiply 60 by 0.85 to find 85% of the number.

60x0.85=$51

The new price would be $51.

Similarly you could also have divided 60 by 100 to find one percent of it (60/100=0.6) and then multiplied it by 85 to find 85%. (0.6x85=51)

Hope this helped!

Answer:

2x-2= -21

Step-by-step explanation:

Answer:

-9.5

Step-by-step explanation:

We can create an equation to represent this, where [tex]n[/tex] is the missing value.

[tex]2n - 2 = -21[/tex]

Now we can solve for [tex]n[/tex] by isolating it on one side of the equation.

Add 2 to both sides:

[tex]2n - 2 + 2 = -21+2\\\\2n = -19[/tex]

Divide both sides by 2:

[tex]2n\div2 = -19\div2\\\\n = -9.5[/tex]

Hope this helped!

Answer: a) -27, b) 35, c) 14

Step-by-step explanation:

a) When a positive number is multiplied by a negative number, your answer is negative, and since we know that 9 × 3 = 27, and that this figure has to be negative (since 9 is negative), the answer is -27.

b) Multiplying two negative numbers gives a positive number, and since 7 × 5 = 35, the answer is positive 35 (as both 7 and 5 in the original question are negative).

c) Follows just like b.

Answer:

yes

Step-by-step explanation:

ny shape that has a line of symmetry is symmetrical shape.means the shape can be folded into two equal halves.

Answer:

4 terms

Step-by-step explanation:

First rearrange the expression from largest to smallest:

-9x^4-3x^2+5x+2

Now count how many terms their are,

-9x^4=1 term

-3x^2=2 terms

5x=3 terms

2=4 terms

Therefore, there are 4 terms in the expression

Answer:

-40

Step-by-step explanation:

2 times negative 2 is 4 plus 4 is 8 times negative 5 is -40

Answer:

[tex]x=3/2=1.5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2x-2=4x-5[/tex]

And we want to solve for x. To do this, we need to first isolate the x-variable. So, start by adding 2 to both sides:

[tex](2x-2)+2=(4x-5)+2[/tex]

The 2s on the left cancel:

[tex]2x=4x-3[/tex]

Now, subtract 4x from both sides:

[tex](2x)-4x=(4x-3)-4x[/tex]

The 4xson the right cancel:

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

Now, divide both sides by -2.

[tex]\frac{(-2x)}{-2}=\frac{-3}{-2}[/tex]

The negatives cancel. The 2s on the left cancel. Therefore:

[tex]x=3/2=1.5[/tex]

Answer:

48

Step-by-step explanation:

-12 x -4 = 48 (When we multiply two negetive numbers, the product becomes positive )

Answer:

48

Step-by-step explanation:

i did the quiz

Answer:

just ask your question and post it and somebody will help with the answer

Step-by-step explanation:

Answer:

x = 30    Quadrilateral

x = 20    Triangle

Step-by-step explanation:

Quadrilateral

A quadrilateral has a sum of 360 degrees for its interior angles.

So

x + 2x + 4x + 5x = 360       Find the sum of the 4 angles

12x = 360                           Divide by 12

12x = 360/12                      

x = 30                                 Answer

Triangle

A triangle has an interior angle sum of 180 degrees.

2x + 5x  + (x + 20) = 180         Remove the brackets

2x + 5x  + x + 20 = 180           Add the angles

8x + 20 = 180                           /subtract 20 from both sides

8x = 180 - 20

8x = 160                                 Divide by 8

x = 160/8

x = 20    

Answer: -5x+3x²+5

Step-by-step explanation:

 (-2x+4x²+5)-(x²+3x)

=-2x+4x²+5-x²-3x

=-2x-3x+4x²-x²+5

=-5x+3x²+5

=3x²-5x+5 (if you are required to write in standard form)

Answer:

X÷5y

Step-by-step explanation:

5 x y is 5y and then we divide

The expression for the given phrase is 5y/x.

Given that, x divided by the product of 5 and y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

The product of 5 and y =5×y

= 5y

x divided by the product of 5 and y

= 5y/x

Therefore, the expression for the given phrase is 5y/x.

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Answer:

85

Step-by-step explanation:

Answer:

kindly see attached picture

hope it helped you:)

Using rounding concepts, it is found that 325.623 rounded to the nearest tenth is 325.6.

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Answer:

m=[tex]\frac{23}{3}[/tex] simplest form if you need it as a decimal its m=7.6

Step-by-step explanation:

Answer:

c = 7

Step-by-step explanation:

Solve for 'c'

-7c - 5 = -9c + 9

-5 -9 = -9c + 7c

-14 = -2c

c = 7

Therefore 'c' equals 7

Answer:

c=7

Step-by-step explanation:

-7c-5=-9c+9

Add 9c to each side

-7c+9c-5=-9c+9c+9

2c -5=9

Add 5 to each side

2c-5+5 = 9+5

2c = 14

Divide each side by 2

2c/2 = 14/2

c=7

Answer:

B and D

Step-by-step explanation:

A can't be correct because the length of a segment is always positive. B is correct because we have to take the absolute value of the distance between endpoints to find the length of the segment. C is not correct because AC is obviously longer than BC so how would AB + AC = BC? D is correct because it models the Parts Whole Postulate.

Step-by-step explanation:

2(xy)^3

= 2(0.6 * 5)^3

= 2(3)^3

= 2 * 27

= 54

Answer:

54

Step-by-step explanation:

since x= 0.6 and y=5 you replace them in 2(xy)^3

then it would be 2((0.6)(5))^3

first multiply the numbers inside 0.6 times 5 =3

second multiply 3 three times =27

lastly multiply 27 times 2 to get finally 54

hope this helped :)

Answer:

m = 1.2

Step-by-step explanation:

12m = 14.4

Divide each side by 12

12m/12 = 14.4/12

m = 1.2

m = 1.2  is the answer

because..

12m = 14.4

Divide each side by 12

12m/12 = 14.4/12

m = 1.2

hope this helped ヾ(•ω•`)oヾ(•ω•`)o

Answer:

Trying to find 85% of 21 is the same thing as multiplying 0.85 by 21.

0.85 * 21 = 17.85.

Hope this helps!

Answer:

The answer is 17.85!

Step-by-step explanation:

Hint: if you don't remember how to convert percentages into decimals, just remove the percent sign and shift the decimal point two places to the left.

Answer:

150 miles

Step-by-step explanation:

15÷100×1000=150

Answer:

-2

Step-by-step explanation:

The opposite of 2 is - 2 because it is the distance way away from 0, just in the opposite side.

Hope this helped!

Answer:

s = 5.48 in

Step-by-step explanation:

Area of square = s²

30 in² = s²

s = √30

s = 5.48 in

Answer:

Approximately 5.48 inches.

Step-by-step explanation:

Area of a square formula: Area = length^2

Area here = 30 in^2

30 = length^2

Take square root of both sides to get rid of the square.

[tex]\sqrt{30\\}[/tex] = length

length = 5.47722558

The approximate side length of the frame is about 4.58 inches.