If it takes 15.25(432g) of flour to make 24 cupcakes how much flour will it take to make 6 cupcakes?

Answer:

a = -27

Step-by-step explanation:

-2⁄3 a − 6 = 12

add 6 to both sides:-

-2/3 a -6 + 6 = 12 + 6

-2/3 a = 18

Now multiply each side by -3/2:-

a = 18 * -3/2 =  -54/2

=  -27

To solve the equation -2⁄3 a - 6 = 12 for 'a', add 6 to both sides of the equation and then multiply both sides of the equation by -3/2 to isolate the variable 'a'. The value of 'a' that satisfies the equation is a = -27.

To solve the equation -2⁄3 a - 6 = 12 for 'a', we can start by isolating the variable on one side of the equation. First, let's add 6 to both sides of the equation:

-2⁄3 a - 6 + 6 = 12 + 6

-2⁄3 a = 18

Next, we can multiply both sides of the equation by -3/2 to get:

(-3/2)(-2/3 a) = (-3/2)(18)

a = -27

The value of 'a' that satisfies the equation -2⁄3 a - 6 = 12 is a = -27.

Answer:

Point-Slope form: The equation of line is given by:

[tex]y-y_1=m(x-x_1)[/tex]              ......[1]

where m is the slope and [tex](x_1,y_1)[/tex] is the point on the line.

From the given graph:

Consider two points i.e,

[tex](0, 1)[/tex] and (-0.5, 0)

Calculate slope:

Formula for slope is given by;

[tex]\text{Slope}(m) = \frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the given values we have;

[tex]m = \frac{0-1}{-0.5-0} = \frac{-1}{-0.5} = \frac{10}{5} =2[/tex]

Now, substitute the value of m = 2 and (0, 1) in equation [1] we have;

[tex]y-1 = 2(x-0)[/tex]

y-1 = 2x

Add 1 to both sides we get;

y = 2x+1

On comparing equation y = 2x+1 with the slope intercept form of a line (i.e, y = mx+b) then we have;

slope(m) = 2

y-intercept(b) = 1

therefore, the slope of the function:

m = 2

y-intercept(b) = 1

and the equation represents the graph: y = 2x+1

Answer:

2

1

y = 2x + 1

Step-by-step explanation:

Answer:

15/100

Step-by-step explanation:

If the the number as a decimal is in the hundredths place you put the number over 100

Answer:

20% tip

Step-by-step explanation:

Dinner:  $48.00

Tax:  0.05($48.00) = $2.40

Total (final) bill before tip:  $50.40

Tip:  $10.08

Percentage tip was then $10.08 (100%) / $50.40 = 20%

The family left a 20% tip.

Answer:

All geometric figures, shapes and solids can be named as a sets of surface regions and plane regions and they all lie in three dimensional spaces.

Step-by-step explanation:

Answer:

17.922

Step-by-step explanation:

first you plug it in

y=0.860(17) + 3.302

then u simplify

y=14.62+3.302

then add them

y=17.922

Answer:

17.922 inches long

Step-by-step explanation:

y=0.860x + 3.302

y= 0.860(17) + 3.302

y= 14.62 + 3.302

y=  17.922

Hope it helps!!

Answer:

The temperature yesterday was -6 because 7-13 is -6.

Step-by-step explanation:

Answer:

The yesterday’s temperature is 6°C below the zero degree Celsius or (-6) degree Celsius.

Step-by-step explanation:

The temperature today is 7 degrees Celsius. Yesterday was 13 degrees Celsius cooler. That the temperature is colder means that the temperature was lower than today's temperature. This means that to obtain the temperature on the previous day, 13°C must be subtracted from today's temperature.

yesterday’s temperature=today’s temperature-13°C

It is now possible to replace today's temperature with 7 ° C

yesterday’s temperature=7°C-13°C

Remember that to subtract two integers of a different sign (one positive and the other negative), as in this case, you must subtract their absolute values (that is, subtract 13-7 = 6), and the answer will have the same sign as the number with the highest absolute value (absolute value or module of any real number is the same number but with a positive sign). As in absolute value 13 is greater than 7, the answer to the subtraction will be negative

yesterday’s temperature=7°C-13°C

So, finally, the yesterday’s temperature is 6°C below the zero degree Celsius or (-6) degree Celsius.

[tex]\dfrac{7x+42}{x^2+13x+42}=\dfrac{7(x+6)}{x^2+7x+6x+42}=\dfrac{7(x+6)}{x(x+7)+6(x+7)}\\\\=\dfrac{7(x+6)}{(x+7)(x+6)}=\boxed{\dfrac{7}{x+7}}[/tex]

Your answer should be 2(10x^3+21x^2+21) over X^2 2(10x^3+21x^2+21)/X^2 unless the / was a fraction symbol and not a division symbol then your answer would be 7 over x+7 7/x+7

Answer:

-96 or 96

Step-by-step explanation:

this is because the distance from zero is twelve, so it could be -12 or 12, plug both into the problem and then solve.

the absolute value |x| of a real number x is the non-negative value of x without regard to its sign.

|x| = x for x ≥ 0.

|x| = -x for x < 0.

Examples:

|2| = 2

|-5| = -(-5) = 5

If is -8 × |12| = -8 × 12 = -96

If is 8 × |12| = 8 × 12 = 96

Answer:

17-i

--------

29

Step-by-step explanation:

To simply fractions with complex numbers, we have to multiply by the complex conjugate of the denominator.

The denominator is 5+2i, so the complex conjuate is 5-2i

3+i         5-2i

------  * ---------------

5+2i     5-2i

Simplifying the numerator

(3+i) * (5-2i) = 3*5 + 5i -3*2i -2i^2 = 15 +5i -6i -2(-1) = 15-i+2 = 17-i

Simplifying the denominator

(5+2i) (5-2i) = 25 -10i + 10i -4i^2 = 25 -4(-1) = 29

17-i

--------

29

Answer:

- [tex]\frac{1}{29}[/tex] i + [tex]\frac{17}{29}[/tex]

Step-by-step explanation:

to simplify the fraction ewe require to rationalise the denominator.

This is done by multiplying the numerator/ denominator by the conjugate of the denominator.

the conjugate of 5 + 2i is 5 - 2i, hence

= [tex]\frac{(3+i)(5-2i)}{(5+2i)(5-2i)}[/tex]

= [tex]\frac{15-i-2i^2}{25-4i^2}[/tex]

[ i² = ([tex]\sqrt{-1}[/tex])² = - 1 ]

= [tex]\frac{-i+17}{29}[/tex] = - [tex]\frac{1}{29}[/tex] i + [tex]\frac{17}{29}[/tex]

Answer:

121/100

Hope it helps!

Answer: 19.04 divided by 5.6 is 3.4

Step-by-step explanation:

v=4/3 πr^3.

Use this formula

It could be possibly this

v=4/3 πr^3  

I hope it helped AND  I hope it's right,,

Answer:

Multiply 1/4 ; dividing 4

Step-by-step explanation:

Note that in each number going from left to right, it decreases by dividing 4 each time (or multiplying 1/4)

8/4 = 2 ; 2/4 = 1/2 ; (1/2)/(4) = 1/8 ; etc.

(8)(1/4) = 2 ; (2)(1/4) = 1/2 ; etc.

~

Answer: 1/4

Step-by-step explanation:

Answer:

The inverse of given function is [tex]y=\frac{1}{2}x-1[/tex].

Step-by-step explanation:

The given function is

[tex]y=2x+2[/tex]

The step and shown below to find the inverse of the function.

Step 1: Interchange x and y.

[tex]x=2y+2[/tex]

Step 2: Isolate variable y.

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

[tex]\frac{1}{2}(x-2)=y[/tex]

[tex]\frac{1}{2}(x)+\frac{1}{2}(-2)=y[/tex]

[tex]\frac{1}{2}(x)-1=y[/tex]

Therefore the  inverse of given function is [tex]y=\frac{1}{2}x-1[/tex].

Answer:

The inverse of y = 2x+2 is 1/2x-1.

Step-by-step explanation:

Given equation is

y = 2x+2

let y = f(x) = 2x+2

We have to find the inverse of given function.

Adding -2 to both sides of given equation,we get

y-2 = 2x+2-2

y-2 = 2x

dividing by 2 to both sides of above equation , we have

(y-2) / 2 = 2x / 2

y/2 - 1 = x

Swapping equation, we have

x = y/2-1

put x = f⁻¹(y) in above equation ,we have

f⁻¹(y) = y/2 -1

Replace y with x , we have

f⁻¹(x) = x/2-1

Hence , the inverse of given function is 1/2x-1.

Answer:

15x^3+26x^2-3x+42

Step-by-step explanation:

The multiplication is 15x³ +26x² - 3x + 42.

Multiplication is the process of adding a number up to a given number.

The multiplication (3x + 7)(5x²-3x+6) is as shown:

(3x + 7)(5x²-3x+6)

= 15x³ - 9x² + 18x +35x²- 21x +42

= 15x³ +26x² - 3x + 42

Hence, the multiplication is 15x³ +26x² - 3x + 42.

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Answer:

b=2 or b=-2.5

Step-by-step explanation:

We solve absolute value equations the same as any other equation using inverse operations. However, the inverse operation for absolute value requires one special condition. Since absolute values change a number to a positive regardless if it has a negative sign, we have two possible answers. When we have the absolute value operation isolated, we will set it equal to both the negative and positive option.  

[tex]-10-|1+4b|=-19\\-10+10-|1+4b|=-19+10\\-|1+4b|=-9\\\frac{-|1+4b|}{-1} =\frac{-9}{-1} \\|1+4b|=9[/tex]

We now have the absolute value isolated. We will set it equal to both 9 and -9.

[tex]1+4b=9\\1-1+4b=9-1\\4b=8\\b=2[/tex]

and

[tex]1+4b=-9\\1-1+4b=-9-1\\4b=-10\\b=\frac{-10}{4}=\frac{-5}{2}=  -2.5[/tex]

Hey there!

"Which quantity is proportional to [tex]\frac{35}{80}[/tex]?"

The easier way, I figured out how to solve  this particular problem is simplify the fraction to decimal

[tex]\frac{35}{80}[/tex] [tex]= 0.4375[/tex]

[tex]\boxed{Answer: \frac{21}{48} AND \frac{7}{16}}[/tex]

Good luck on  your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

3/5 no

14/36 no

26/52 no

21/48 yes

7/16 yes

Step-by-step explanation:

Answer:

Average cost per year = 400 + 180/x

Step-by-step explanation:

Using the formula y=mx+b

We know that b is the y intercept or  initial value.  That would be the start up costs

m is the slope on costs each time x increases, that would be 400 per year

Costs = 400x + 180

To find the average cost per year, we need to divide by x

Average cost per year = (400x + 180)/x

                        = 400 + 180/x

Answer:

answer to this question is f(x)  = (180 + 400x)/x

Answer:

70%

Step-by-step explanation:

We assume, that the number 550 is 100% - because it's the output value of the task.

We assume, that x is the value we are looking for.

If 100% equals 550, so we can write it down as 100%=550.

We know, that x% equals 385 of the output value, so we can write it down as x%=385.

Now we have two simple equations:

1) 100%=550

2) x%=385

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=550/385

Now we just have to solve the simple equation, and we will get the solution we are looking for.

Solution for 385 is what percent of 550

100%/x%=550/385

(100/x)*x=(550/385)*x       - we multiply both sides of the equation by x

100=1.4285714285714*x       - we divide both sides of the equation by (1.4285714285714) to get x

100/1.4285714285714=x

70=x

x=70

Step-by-step explanation:

Final answer:

The multiplication of (3.4x10²) and (2x10³) results in 6.8x10⁵ after multiplying the coefficients and adding the exponents. Therefore, the correct answer is option (B).

Explanation:

Considering, the question it has asked to solve the following arithmetic operation in scientific notation: (3.4x10²)x(2x10³).

To solve this the following steps can be used :

we multiply the coefficients (3.4 and 2) and then add the exponents (2 and 3).

Multiplication of coefficients: 3.4 * 2 = 6.8

Addition of exponents: 2 + 3 = 5

Combining both parts: 6.8 x 10^5

The correct answer in scientific notation is therefore 6.8x10⁵, which corresponds with option B.

The interest earned is approximately $50.06.

To calculate the amount of interest earned in a simple interest problem, we can use the formula:

[tex]\[ \text{Interest} = \text{Principal} \times \text{Rate} \times \frac{\text{Time}}{\text{Total days in a year}} \][/tex]

Given:

- Principal (P) = $1,295

- Rate (R) = 7% or 0.07

- Time (T) = 180 days

- Total days in a year = 365 days

Plugging these values into the formula:

[tex]\[ \text{Interest} = 1295 \times 0.07 \times \frac{180}{365} \]\[ \text{Interest} = 1295 \times 0.07 \times \frac{180}{365} \]\[ \text{Interest} \approx 1295 \times 0.07 \times 0.493150685 \]\[ \text{Interest} \approx 50.05958904 \][/tex]

24 = 2 · 2 · 2 · 3

36 = 2 · 2 · 3 · 3

GCF(24, 36) = 2 · 2 · 3 = 12

24 = 12 · 2

36 = 12 ·3

24 + 36 = 12 × 2 + 12 × 3 = 12 × (2 + 3)

The result of factoring out the Greatest Common Factor (GCF) from the expression (24 + 36) is 12 × (2 + 3).

To factor out the Greatest Common Factor (GCF) from the expression (24 + 36), we first need to determine the largest number that divides evenly into both 24 and 36. The GCF of 24 and 36 is 12. We divide each term by the GCF to factor out it from the expression:

24 ÷ 12 = 2

36 ÷ 12 = 3

Thus the expression factored out by the GCF is 12 × (2 + 3).

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Answer:

0

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

  = (-5--5)/ (9--8)

 = (-5+5)/(9+8)

 = 0/17

=0

The slope it 0

This is a horizontal line because the y value doesn't change.  If the y value doesn't change, the slope it zero.

Answer: 7/12 jar is full of marbles

Step-by-step explanation:

Matt had full Jar  of Marbles =  1

After giving 3/4 to Kayla , jar has marbles = [tex]1-\frac{3}{4}  \\=\frac{4}{4} -\frac{3}{4} \\=\frac{1}{4}[/tex]

Kayla returned  =   1/3 of Jar

Now jar has marbles =     1/3+ 1/4

                                 =   4/12 + 3/12     [ making denominator same]

                                 =  7/12

Answer:

Linear

Step-by-step explanation:

y = 2^2

y = 4

This is a line.  4 is constant.  

Y to a constant value is a horizontal line

Answer:

x = - 3, x = 2

Step-by-step explanation:

Since x = 1 is a zero then (x - 1) is a factor of the polynomial

dividing x³ - 7x + 6 ÷ (x - 1)

= (x - 1)(x² + x - 6)

= (x - 1)(x + 3)(x - 2)

equating (x + 3)(x - 2) = 0 gives the other zeros

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Answer:

sqrt(x)

Step-by-step explanation:

1/ ( x^(-3/6))

We can simplify the fraction

1/ ( x^(-1/2))

A negative exponent means that since it is in the denominator, it goes to the numerator.  It still keeps the exponent.

x^ (1/2)

sqrt(x)