Tyler and Katie started a lemonade stand to raise money. They donated 2/10​ of their profits to their school library, 1/10 to the animal shelter, and 2/5 to the food bank. They saved the rest to buy materials for their next project. What fraction of their profits did Tyler and Katie donate to others?

Answer:

Hey there!

He can create 7 plates at most, with one carrot cake and one marble cake on each plate.

Hope this helps :)

Answer:

1.8 pounds

Step-by-step explanation:

All you have to do is multiply 0.1 * 4, and then 0.1 * 14. Once you get the products, you can just add them together to get 1.8 pounds

Answer:

[tex]\boxed{2x-3}[/tex]

Step-by-step explanation:

[tex]f(x)=3x-1\\ g(x)= x+2[/tex]

[tex](f-g)(x)\\f(x)-g(x)[/tex]

[tex](3x-1)-(x+2)\\ 3x-1-x-2\\2x-3[/tex]

Answer:

cos(30)

Step-by-step explanation:

Answer:

sin(15)

Step-by-step explanation:

Answer:

6x^2 + 5x + 6

Step-by-step explanation:

Distributive property

Answer:

=6x^2+5x−6

Step-by-step explanation:

Using the foil method, 3x*2x+3x*3+-2*2x+-2*3

Answer:

y = (x - 2)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 0) , thus

y = a(x - 2)² + 0

To find a substitute the y- intercept (0, 4) into the equation

4 = a(- 2)² = 4a ( divide both sides by 4 )

a = 1

y = (x - 2)² ← equation of parabola in vertex form

Answer:

The answer is 39 kg

Step-by-step explanation:

We are looking for the weight of box A so we will use the number given to use for Box A.

We also have the total which is 194/4 kg

If we divide 195 by 5 we will get 39 kg

But to check if your answer is correct also divide 195 by 41 and that will give us 4.75 kg

And if you add the two answers up your will get 43.75 kg

Now we need to find the weight of Box B to see if our answer is correct

When you subtract 43.75 from 195 you will get 151.25

When we will add 43.75 to 151.25 you will get 195

So the answer is correct, the answer is 39 Kg

Answer:

write the question correctly so I can help you

Step-by-step explanation:

7x - 14 = 4x + 19

7x - 4x = 14 + 19

3x = 33

x = 11

Answer:

I guess y=2x+5

Answer:

Step-by-step explanation:

k(x) = 2x² - 7

p(x) = x - 4

To find (k ∘ p)(x) substitute p(x) into k(x),

that's replace any x in k(x) by p(x)

We have

(k ∘ p)(x) = 2(x - 4)² - 7

Expand

(k ∘ p)(x) = 2( x² - 8x + 16) - 7

= 2x² - 16x + 32 - 7

Simplify

We have the final answer as

Hope this helps you

Answer:

(k ∘ p)(x) = 2x² - 16x + 25

Step-by-step explanation:

hope this helps

Answer:

iv, ii, i, iii, vi, v

Step-by-step explanation:

First, it is better if you fix all of these into fractions:

2/3--> 0.6666

-4/5--> -0.8

7/4--> 1.75

-21/8--> -2.625

11/4--> 2.75

root 5--> 2.24...

Hope this helps!!

The required length of the base is 18 units for the square pyramid.

The square pyramid shown below has a slant height of 17 units and a vertical height of 15 units. What is the length of one of the bases of the pyramid to be determined?

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.

The verticle height = 15
Slant height = 17
Let the base length be a,
For the half slant profile applying the Pythagorean theorem,
slant heigth² = vertical height² +  base length ²
17² = 15² + ( a/2 )²
289 - 225  =  ( a/2 )²
( a/2 )² = 64
a/2 =8
a = 16

Thus, the required length of the base is 18 units for the square pyramid.

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Answer:

28 cm²

Step-by-step explanation:

The area of Δ BDF is the area of the rectangle subtract the area of the 3 white triangles.

Since the area of the rectangle = 80 cm² and

area = length × breadth, then

breadth = 80 ÷ 10 = 8 cm

Thus CE = EF = 8 cm and CD = DE = BC = 4 cm

Area of Δ DEF = 0.5 × 10 × 4 = 20 cm²

Area of Δ ABF = 0.5 × 8 × (10 - 4) = 0.5 × 8 × 6 = 24 cm²

Area of Δ BCD = 0.5 × 4 × 4 = 8 cm²

Thus

area of Δ BDF = 80 - (20 + 24 + 8) = 80 - 52 = 28 cm²

Answer: $14,950

Step-by-step explanation:

Given: Cost of Direct Materials  =  $3,200

Cost of direct labor = $4,700

Overhead rate = 150%

So, Overhead cost = 150% x (Total  direct labor cost)

= $(150% x 4,700) =$ ( 1.5 x 4,700)                              [150% = 1.5]

= $7,050

Work in Progress  =  Direct Materials  + Direct labor  + Overhead

= $(3,200+4,700+7,050)

=$14,950

Hence, the balance in the Work in Process account at the end of September relative to Job A3B = $14,950

Answer:

3x³ − x² − x − 4 + (-5/(x−1))

Step-by-step explanation:

Use long division (see attached picture).

Answer:

[tex]10a^{2} b^{2} +6a^{3} b+12a^{3} +2a^{2}[/tex]

Step-by-step explanation:

The correct answer is C. Four pies

Explanation:

Marginal cost refers to an increase in the cost of production as additional units are made. In the case of apple pies, the graph shows the cost for one is $1.00. Moreover, this decreases when two or three pies are produced because the cost is between $0.60 and $0.30. However, if the producer makes four or more units, the cost increases. For example, at four units the cost per unit is $0.60, while at six units the cost is $1.50. Thus, the marginal cost begins to increase at four pies.

Answer: four pies

Step-by-step explanation:

The graph is a marginal cost curve that compares expenses therefore it would equal four pies because the marginal cost rises on the graph starting at 4.

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the y intercept rewrite the equation in the above form

That's

4x - 2y =- 12

2y = 4x + 12

Divide both sides by 2

y = 2x + 6

comparing with the above formula the y intercept is 6

That's

(0 , 6)

The x intercept of a line the x coordinate on the line when y = 0

To find the x intercept let y = 0

That's

2x + 6 = 0

2x = - 6

Divide both sides by 2

x = - 3

The x intercept is - 3

That's

(- 3 , 0)

Hope this helps you

Answer:

the answer is x=-3 and y=6 so that means it is B.

4x-2y=-12

then; plug in 0 for x and then solve;

y=6

then do the same for the other side. plug in 0 for y and then solve.

x=-3

Hope this helps!

Answer:

We have an extrema (local minimum) at x = -0.125

An inflection point at x = 0.25

Step-by-step explanation:

The given function is given as follows;

[tex]f(x) = 3x^{1/3} + 6x^{4/3}[/tex]

At the extrema points, f'(x) = 0 which gives;

[tex]0 = \dfrac{\mathrm{d} \left (3x^{1/3} + 6x^{4/3} \right )}{\mathrm{d} x} = \dfrac{(8 \cdot x+1) \times \sqrt[0.3]{x} }{x}[/tex]

(8x + 1) =x- (0/((x)^(1/0.3)) = 0

x = -1/8 = -0.125

f''(x)  gives;

[tex]f''(x) = \dfrac{\mathrm{d} \left (\dfrac{(8 \cdot x+1) \times \sqrt[0.3]{x} }{x} \right )}{\mathrm{d} x} = \dfrac{ \left (\dfrac{8}{3}\cdot x^2 - \dfrac{2}{3} \cdot x \right ) \times \sqrt[0.3]{x} }{x^3}[/tex]

Substituting x = -0.125 gives f''(x) = 32 which is a minimum point

The inflection point is given as follows;

[tex]\dfrac{ \left (\dfrac{8}{3}\cdot x^2 - \dfrac{2}{3} \cdot x \right ) \times \sqrt[0.3]{x} }{x^3} = 0[/tex]

[tex]\dfrac{8}{3}\cdot x^2 - \dfrac{2}{3} \cdot x \right }{} = 0 \times \dfrac{x^3}{ \sqrt[0.3]{x}}[/tex]

[tex]\dfrac{8}{3}\cdot x - \dfrac{2}{3} \right }{} = 0[/tex]

x = 2/3×3/8 = 1/4 = 0.25

We check the value of f''(x) at x = 0.24 and 0.26 to determine if x = 0.25 is an inflection point as follows;

At x = 0.24,   f''(x) = -0.288

At x = 0.26,   f''(x) = 0.252

0.25 is an inflection point

Answer:

5.1.

Step-by-step explanation:

5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.

Hope this helps!

Answer:

Step-by-step explanation:

5.1

Answer:

x = 74°

Step-by-step explanation:

The diagram shown in this question, is a Quadrilateral inscribed in a circle

It is important to note that

The sum of opposite angles in a Quadrilateral = 180°

93° + z = 180°

z = 180° - 93°

z = 87°

In a cyclic quadrilateral,

Intercepted angle = 1/2(Intercepted arc)

Intercepted angle = 93°

Intercepted arc = x + 112°

Hence,

93° = 1/2(x + 112)°

93° × 2 = x + 112°

186° = x + 112°

x = 186° - 112°

x = 74°

Answer:

It’s 87° for mine

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

The rational function which is graphed below is  F(x)=-1/x, the correct option is B.

Function is a type of relation, or rule, that maps one input to specific single output;

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships;

Linear function is a function whose graph is a straight line;

We are given that;

The graph of the function

Now,

Points on 1/(x + 4);

The function y = 1/(x + 4) is a hyperbola. It has two branches that extend infinitely in opposite directions. The x-axis and y-axis are both asymptotes of the hyperbola.

Points on y= 1/x-4;

The function y = 1/(x - 4) is also a hyperbola. Its asymptotes are the vertical line x = 4 and the horizontal line y = 0;

Points on y = 1/(x-1);

The function y = 1/(x-1) is also a hyperbola. Its asymptotes are the vertical line x = -4 and the horizontal line y = 0.

Therefore, by the given graph function will be F(x)=-1/x;

Learn more about function here;

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Explanation:

You could use any two points you want. For me, the easiest is when x = 0. Plug this into the equation to get

y = 2x-7

y = 2(0)-7

y = -7

So we have x = 0 and y = -7 pair up to get (0,-7) as our first point. This is the y intercept.

Repeat for x = 1

y = 2x-7

y = 2(1)-7

y = -5

So (1,-5) is another point on this line. You only need two points at minimum to graph a straight line.

Answer:  1) c    2) a     3) d

Step-by-step explanation:

[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\[/tex]

******************************************************************************************

Reference angle is the angle measurement from the x-axis.  There is no such thing as a negative reference angle.

-183°  is 3° from the x-axis so the reference angle is  [tex]\large\boxed{3^o}[/tex]

*******************************************************************************************

Coterminal means the same angle location after one or more rotations either clockwise or counter-clockwise.

To find these angles, add or subtract 360° from the given angle to find one rotation, add or subtract 2(360°) from the given angle to find two rotations, etc.

To find ALL of the coterminals, add or subtract 360° as many times as the number of rotations.  Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.

Given: 203°

Coterminal angles: 203° ± k360°, k ∈ I

Answer:

Step-by-step explanation:

Given figure : Trapezoid

Base sides,

a = 2.5

b = 7.5

Height ( h ) = 2.5

Now, finding the area:

[tex] \frac{1}{2} (a + b) \times h[/tex]

Plug the values

[tex] = \frac{1}{2 } \times (2.5 + 7.5) \times 2.5[/tex]

Calculate the sum

[tex] = \frac{1}{2} \times 10 \times 2.5[/tex]

Reduce the numbers with G.C.F 2

[tex] = 5 \times 2.5[/tex]

Calculate the product

[tex]12.5 \: \: {units}^{2} [/tex]

Hope this helps...

Best regards!

Answer:

The third option is correct.

The domain of the function is given by

[tex]Domain = 0 \leq t \leq 40[/tex]

The range of the function is given by

[tex]Range = 0 \leq V(t) \leq 200[/tex]

Step-by-step explanation:

Sara bought a cell phone for $200 and its value has decreased at rate of $5 per month.

V(t) is the value of the phone and t is the number of months.

The domain of the function is the possible values of the number of months t.

The domain of the function is given by

[tex]Domain = 0 \leq t \leq 40[/tex]

The range of the function is the values of V(t) that we get after substituting the possible values of the number of months t.

The range of the function is given by

[tex]Range = 0 \leq V(t) \leq 200[/tex]

When the number of months is t = 0 then the value of the function is maximum V(t) = 200

When the number of months is t = 40 then the value of the function is minimum V(t) = 0

Therefore, the third option is correct.

Complete question :

∆ABC is similar to ∆PQR. AB¯¯¯¯¯ corresponds to PQ¯¯¯¯¯, and BC¯¯¯¯¯ corresponds to QR¯¯¯¯¯. If the length of AB¯¯¯¯¯ is 9 units, the length of BC¯¯¯¯¯ is 12 units, the length of CA¯¯¯¯¯ is 6 units, and the length of PQ¯¯¯¯¯ is 3 units, then the length of QR¯¯¯¯¯ is ______units and the length of RP¯¯¯¯¯ is ________units.

Answer:

QR = 4 units ; RP = 2 units

Step-by-step explanation:

For similar triangles

Length1 ∆1/length1 ∆2 = Length 2 ∆1 /length 2∆2

AB Corresponds to PQ

BC corresponds to QR

AB = 9 Units, BC = 12 Units

CA = 6 units, PQ = 3 units

Take the ratio of the corresponding sides :

AB/ PQ = BC / QR

9/ 3 = 12 / QR

Cross multiply

9 * QR = 3 * 12

QR = 36 / 9

QR = 4 units

For RP:

AB/PQ = CA/RP

9 / 3 = 6 / RP

9 * RP = 3 * 6

RP = 18 / 9

RP = 2 units

Answer:

rp-2 qr-4

Step-by-step explanation:

Step-by-step explanation:

HL states that a hypotenuse and leg of a right triangle must be congruent, so you would need to know the hypotenuses are congruent and a leg is congruent. For 6, You're only given 2 sides instead of 3, and since this is a Side-Side-Side Postulate, you must have the third sides be congruent. For 7, Angle-Side-Angle requires to known congruent angles and a side in between them, so you would need to know that angle I is congruent to angle L. Lastly, Side-Angle-Side needs two sides and an angle between them, so you would need to know that side JI is congruent to HD. HI is already congruent to itself by the Reflexive Property, so you only need to know JI ≅ HD.

Answer:

[tex]a^2+2ab+b^2[/tex]

Step-by-step explanation:

If we have [tex](a+b)^2[/tex] we can calculate this as:

[tex](a+b)*(a+b)[/tex]

So, applying distribution property, we get:

[tex](a+b)*(a+b)=a*a+a*b+b*a+b*b[/tex]

Where:

[tex]a*a=a^{2}[/tex]

 [tex]b*b=b^2[/tex]

[tex]a*b=b*a=ab[/tex]

so:

[tex](a+b)*(a+b)=a^2-ab+ab+b^2\\(a+b)*(a+b)=a^2+2ab+b^2[/tex]