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3 years ago

1. At a bake sale, a dozen cookies sold for $4. This price was 80% of the original price. What was the original price?

Mathematics

2 answers:

zlopas [31]3 years ago

5 0

Answer above is correct i checked it its 5 dollars

Inessa05 [86]3 years ago

3 0

Answer : Original price $5
Equation 80%/100% $4/?
1) Multiply 100 by 4 which gives you 400
2) divide 400 by 80 which gives you 5
Turn 5 into $5

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What is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x + y

konstantin123 [22]

So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.

Slope of perpendicular lines is the opposite sign and the reciprocal of the other.

So if your slope was 2 the perpendicular line would have a slope of -1/2.

So the equation, 2x + y = 3

Can be rewritten as

y= -2x+3

Perpendicular slope: 1/2

Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.

y=mx+b

4=1/2(5)+b

Solve for b (y intercept)

4-2.5=b

1.5=b

So the equation of the perpendicular is

y=1/2x+3/2 or y=.5x+1.5

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3 years ago

If (2^6)x = 1, what is the value of x? Explain your answer.

lilavasa [31]

Answer:

$x=\frac{1}{64}$ Exact Form

$x=0.015625$ Decimal Form

Step-by-step explanation:

$\frac{(2^6)x}{2^6} =\frac{1}{2^6}$ Divide each term in $(2^6)x=1$ by $2^6$ .

$x=\frac{1}{2^6}$ Cancel the common factor of $2^6$ .

$x=\frac{1}{64}$ Raise 2 to the power of 6.

$x=0.015625$ Decimal Form.

7 0

3 years ago

What is the zero of g(x)=-x-7?<br> A. 7<br> B. 4<br> C. -7<br> D. 3

blsea [12.9K]

Answer:

I think it's A. 7

Step-by-step explanation:

4 0

3 years ago

80 POINTS for right answer! 4 questions! Math only

34kurt

1.
A graph of linear function is a straight line.
Linear function in a slope-intercept form: y = mx + b

Answer: Equation 3: y = 12x + 17.

2.
x|-1 | 0 | 1 | ? |
y| 4 | 7 |10| ? |

a slope: $m=\dfrac{y_2-y_1}{x_2-x_1}$

We choose:
$(-1; 4)\to x_1=-1\ and\ y_1=4\\(0;\ 7)\to x_2=0\ and\ y_2=7$

subtitute:

$m=\dfrac{7-4}{0-(-1)}=\dfrac{3}{1}=3$

a slope-intercept form: $y-y_1=m(x-x_1)$

subtitute:

$y-4=3(x-(-1))\\\\y-4=3(x+1)\\\\y-4=3x+3\ \ \ \ |add\ 4\ to\ both\ sides\\\\y=3x+7\ (*)$

subtitute x = 2 to the equation (*):

$y=3\cdot2+7=6+7=13$

Answer: (2, 13)

3.
(-2; 7), (-5; 4)

the slope: $m=\dfrac{4-7}{-5-(-2)}=\dfrac{-3}{-5+2}=\dfrac{-3}{-3}=1$

$y-7=1(x-(-2))\to y-7=x+2\ \ \ \ |add\ 7\ to\ both\ sides\\y=x+9$

check other:

$(-8;\ 1)\to L=1;\ R=-8+9=1;\ L=R-correct\\(-11;-2)\to L=-2;\ R=-11+9=-2;\ L=R-correct$

The conclusion: It's a linear function

Answer: It is a linear function because there is a constant rate of change in both the input and output values.

4.
y = 3x + 5 /look at the picture/

Answer: It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.

check:
$(0; 5)\to L=5; R=3\cdot0+5=5;\ L=R-correct\\(1;\ 8)\to L=8;\ R=3\cdot1+5=8;\ L=R-correct\\(2;\ 11)\to L=11;\ R=3\cdot2+5=11;\ L=R-correct$

8 0

3 years ago

Read 2 more answers

2(a-2)=3(a-5) Distrubutive Property

Brrunno [24]

So in distributive property you multiply the outside number by the two inside so in this case 2(a) + 2(-2) = 3(a) + 3(-5)
Which will give you
2a+ - 4 = 3a + - 15
Or
2a-4=3a-15
Then if your solving for a your can subtract 3a from 2a giving you
- a-4=-15
Then add 4 to - 15
-a =-11
Then divide by negative 1 (this is so a isn't negative)
A=11
Hope this helps!

5 0

3 years ago