Solve this equation.
Y/4-4=5 y=

Answer:

x+y = 87

1.5x+0.5y = 78.5

Step-by-step explanation:

Let x = number of nachos sold and y = number of sodas sold

x+y = 87 because that's the total number of nachos and sodas he sold

1.5x+0.5y = 78.5 because nachos cost $1.50 and sodas cost $0.50 and David made a total of $78.50

Answer:

That tells us that we have two parts account for

Step-by-step explanation:

i know that I'm indian n u r Pakistani but can't we be friends I don't see my friend from where they belong just I need ur heart with me

Answer:

i-1

Step-by-step explanation:

2i 1−i = 2i(1+i)(1−i)(1+i)=2(i−1)1+i−i+1=2(i−1)2=i−1

Answer:

nice question...

so here we go

3^ -x = 1 / 3^x

so 1/ 3^x = 2 so 3^x = 1/2

we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)

recall that 3^x =1/2

so now according to question we have to find the value of 3^2x =  1/2 * 1/2 = 1/4

Step-by-step explanation:

The given expression is an application of an exponential equation. The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]

Given that [tex]3^{-x}=2[/tex]

This can also be expressed as [tex]\frac{1}{3^x} =2\\[/tex]

Cross multiply

[tex]\frac{1}{3^x} =2\\3^x = \frac{1}{2}[/tex]

Take the square root of both sides

[tex](3^x)^2 = (\frac{1}{2} )^2\\3^{2x} = \frac{1}{4}[/tex]

The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]

Learn more here: https://brainly.com/question/16088078

Given:

A linear function starting at point C at (3, –2) and ending at point D at (–2, 3).

To find:

The rate of change and the initial value.

Solution:

If a linear function passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The given linear function passes through (3,-2) and (-2,3). So, the equation is

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

[tex]y+2=\dfrac{3+2}{-5}(x-3)[/tex]

[tex]y+2=\dfrac{5}{-5}(x-3)[/tex]

[tex]y+2=-(x-3)[/tex]

Subtracting 2 on both sides, we get

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

[tex]y=-x+1[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], where, m is slope and b is y-intercept, we get

[tex]m=-1[/tex] and [tex]b=1[/tex]

Therefore, the rate of change is -1 and the initial value is 1.

Answer:

69 calories

Step-by-step explanation:

Given that :

Number of calories in 28 grams = 161

9 cashews = 12 grams

Number of calories consumed :

28 grams = 161 calories

12 grams = x

Cross multiply :

28x = 161 * 12

28x = 1932

x = 69 calories

Answer:

150

Step-by-step explanation:

Betty can type 100*6=600

Bob types 75*6=450

Betty-Bob (600-450)=150

Answer:A IS THE LINEAR FUNCTION

Step-by-step explanation: NO NEED FOR EXPLANATION

Answer:

for A i think its 2.333

and i guess thats what its height

Answer:

5, remainder 2

Step-by-step explanation:

22 divided by 4 is 5 and remainder 2

Answer:

19

Step-by-step explanation:

9+10=19

Answer:

the length of the diagonal BD is 8 cm

Step-by-step explanation:

The computation of the length of diagonal BD is as follows

Here the trapezoid diagonals divides each other in an equivalent ratio

So, equation would be

AO ÷ OC = OB ÷ OD

Now put there values to the above equation

3 ÷ 1 = 6 ÷ OD

3OD = 6

Now divided it by 3 in both the sides

OD = 2

Now the BD would be

= BO + OD

= 6 +  2

= 8 cm

hence, the length of the diagonal BD is 8 cm

Answer:

[tex]y=4x+8.5[/tex]

Step-by-step explanation:

[tex]b=8.5[/tex]      the initial cost is $8.5

[tex]m=2.5+1.5[/tex]    the price changes by $4 for every hotdog & candy bar purchased

The final equation is    [tex]y=4x+8.5[/tex]

Answer:

$12.00

Step-by-step explanation:

$8.50 + $2.50 = $10.00 + $1.50 = total $12.00

Answer:

k = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

I assume the function is

f(x) = 2x³ - kx² + x - 8k

2(2)³ - k(2)² + 2 - 8k = 2

- 12k + 16 = 0

3k - 4 = 0 ⇒ k = [tex]\frac{4}{3}[/tex]

Answer:

$1

Step-by-step explanation:

To find out how much more money Olivia spent per apple, we need to find out how much each spent on one apple.

Cassie:

2 apples --- $4

1 apple --- $4 ÷ 2 = $2

Olivia:

5 apples --- $15

1 apple --- $15 ÷ 5 = $3

Difference per apple = $3 - $2

                                   = $1

Answer:

The length of w is 0.8 cm

Step-by-step explanation:

In Δ WXY

x is the opposite side to ∠X

w is the opposite side to ∠W

y is the opposite side to ∠Y

∵ m∠X = 45°

∵ m∠Y = 108

∵ The sum of the measures of the interior angle of a triangle is 180°

∴ 45 + 108 + m∠W = 180

→ Add the like terms in the left side

∵ 153 + m∠W = 180

→ Subtract 153 from both sides

∴ m∠W = 27°

Now we can use the sine rule to find the length of w

∵ [tex]\frac{w}{sin(W)}[/tex] = [tex]\frac{x}{sin(X)}[/tex] = [tex]\frac{y}{sin(Y)}[/tex]

→ Use the first 2 ratios to find w

∵ x = 1.2 cm

∵ [tex]\frac{w}{sin(27)}[/tex] = [tex]\frac{1.2}{sin(45)}[/tex]

→ By using cross multiplication

∴ w × sin(45) = 1.2 × sin(27)

∴ w sin(45) = 1.2 sin(27)

→ Divide both sides by sin(45)

∴ w = 0.7704474263

→ Round it to the nearest tenth

∴ w = 0.8 cm

∴ The length of w is 0.8 cm

Answer:

[tex]\frac{-5}{9}[/tex]

Step-by-step explanation:

The slope of two parallel lines is the same. As long as the y-intercept is different then, the lines are parallel. Therefore, if the slope of line b is [tex]\frac{-5}{9}[/tex] then the slope of line c must also be [tex]\frac{-5}{9}[/tex].

Answer:

m = 2

Step-by-step explanation:

The number of cups of  marshmallows, m, needed for r  cups of Rice Krispy r is described by  the equation :

r= 1.5m ...(1)

We need to find the no. of marshmallows  are needed to mix with 3 cups of  Rice Krispies.

Pu r = 3 in equatin (1) :

[tex]m=\dfrac{r}{1.5}\\\\m=\dfrac{3}{1.5}\\\\m=2[/tex]

So, there are 2 cups of marshmallows .

Answer:

7/8

Step-by-step explanation:

I got it right

Answer:

7/8

Step-by-step explanation:

cuz

Answer:

x=2

Step-by-step explanation:

first distribute the 1/2

1/2x - 5=-4

then add 5 to both sides

1/2x=1

multiple by 2 on both sides

x=2

Answer:

AAS postulate can be used to prove that these two triangles are congruent

Step-by-step explanation:

Let us revise the cases of congruence  

In the given figure

∵ There is a pair of vertically opposite angles

∵ The vertically opposite angles are congruent ⇒ (1)

∵ There are two angles have the same mark

∴ These marked angles are congruent ⇒ (2)

∵ There are two sides have the same mark

∴ These two marked sides are congruent ⇒ (3)

→ From (1), (2), and (3)

∴ The two triangles have 2 angles and 1 side congruent

→ By using case 4 above

∴ The two triangles are congruent by the AAS postulate of congruency.

AAS postulate can be used to prove that these two triangles are congruent

Answer:

The slope is 4.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=16-12/4-3

m=4/1

m=4

Answer:

I think its m = 1/4

Step-by-step explanation:

subtract 4 from 3 and 16 from 12 and you will get the answer

Answer:

Done!

Step-by-step explanation:

1. 4 is a coefficient

x is a variable

12 is a constant

2. a is a variable

3 is a coefficient

b is a variable

Answer:

33 jdkdkskfjsksjaks

Step-by-step explanation:

4/11×x=12

x=33

Answer:

9 cakes

Step-by-step explanation:

If each of the 17 people will eat 1/2 of a cake, you would 17*1/2 cakes. This is 17/2, or 8.5. You cannot usually order 8.5 cakes, so you would round up. 9 cakes.

Answer:

38.85 feet

Step-by-step explanation:

If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.

Answer:

Difference in temperatures = 37 degree

Step-by-step explanation:

Given:

Temperature above zero = 32 degree

Temperature below zero = -5 degree

Find:

Difference in temperatures

Computation:

Difference in temperatures = Temperature above zero - Temperature below zero

Difference in temperatures = 32 - (-5)

Difference in temperatures = 37 degree