Select the correct answer. malik is baking pumpkin bread and banana bread for friends and family. his pumpkin bread recipe calls for 4 eggs and cups of flour, and his banana bread recipe calls for 1 egg and cups of flour. malik has 14 eggs, 16 cups of flour, and plenty of other ingredients to make multiple loaves. what is one combination of breads malik can bake without getting more ingredients? a. 3 loaves of pumpkin bread and 3 loaves of banana bread b. 1 loaf of pumpkin bread and 9 loaves of banana bread c. 2 loaves of pumpkin bread and 6 loaves of banana bread d. 5 loaves of pumpkin bread and 1 loaf of banana bread

john could be right now 45

What is word problem in math?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."

According to the question:

And

Solution for the above equation:

                                               [tex]x=y-30, y=3 x \quad\\ \quad x=15, y=45[/tex]

steps:

                                                [tex]x=y-30 \\y=3 x[/tex]

Substitute :[tex]$y=3 x$[/tex]

                                               [tex][x=3 x-30][/tex]

                                   [tex]for $$x=3 x-30: \quad x=15[/tex]

For [tex]$y=3 x$[/tex]

Substitute: [tex]$x=15$[/tex]

                                               [tex]y=3 \cdot 15[/tex]

Simplify:

                                               [tex]y=45[/tex]

The solutions to the system of equations are: [tex]$x=15, y=45$[/tex]

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The graph of the inverse of the function is shown in the image attached below.

In this question we must apply the following transformation rule to the three points to determine the points of the inverse function:

(x, y) → (y, x)

Now we proceed to find the points:

(- 7, 3) → (3, - 7)

(-3, 0) → (0, -3)

(-2, -2) → (-2, -2)

Lastly, we proceed to construct the graph of the inverse of the function.  

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There are 117600 ways for the distribution of the prizes.

According to the statement

We have given that the number of people enter in a contest is 50.

And

Number of prizes given identically is 3.

And we have to find that the by how many ways can be prizes be awarded.

So,

Provided that no one can receive more than one prize,

It means The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48,

Here we use Permutation

Then the possibilities become is

50*49*48= 117600

So there are above written ways to distribute the prizes.

There are 117600 ways for the distribution of the prizes.

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The computation shows that the value of blue which is represented by x is 12.

From the information given, it was stated that 30 people were in the kindergarten.

Green = 10

Red = 8

Blue (x) = 30 - (10 + 8)

= 30 - 18

= 12

Since the teacher want to paint the class with the most favorite color, the appropriate color to use will be blue.

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The cost of the Baseball is $5.

Lets take football cost as "x"

And taking baseball cost as "y"

According to given conditions,

2y + 3x = 67

x= 3y + 4

Lets put the values of x in equation (1):

2y + 3 (3y+4) = 67

=> 2y + 9y + 12 = 67

=> 11y = 55

y = 5

x = 3(5) + 4

x = 19

Hence the cost of the Baseball is $5.

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Answer:

[tex]\frac{FH}{RX} =\frac{HG}{XS} =\frac{FG}{RS}[/tex]

Step-by-step explanation:

The order of the letters matters in any similarity theorem.

When triangle FHG is similar to triangle RXS, the lengths of FH must be similar to RX.

When 2 similar lines are divided, that number is the factor by which one triangle can be dilated to match the other.

That being said, each of these proportion statements can be read as individual division expressions that equal the next division expression.

This means [tex]FH\div RX = HG\div XS = FG\div RS[/tex].

If you look at it this way, you can see that the sides you need to fill in must be the corresponding similar sides, so that you end up with the factor for the dilation of the 2 triangles.

Answer:

((24+13)/28.5

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle are 180.  The bottom triangle give you two of the angle measurements (43 and 35)  Take 180 - 43 -35 = 102.  Angle E is 102.  Vertical angles are congruent so that mean that we can use that to find angle a.  Again, the sum of the interior angles adds up to 180.  180 - 102 - 18 gives us the measurement of angle a (60)

We know that ratios can be shown with both fractions and colons.

20:705

or

[tex]\frac{20}{705}[/tex]

It also looks like we can simplify this by dividing by 5.

20/5 = 4

705/5 = 141.

This means that for every 4 teachers, there are 141 students.

The ratio for teachers to students is:

4 : 141

Answer:

y=0.75x+3.75

Step-by-step explanation:

The slope is

[tex] \frac{6 - 4.5}{3 - 1} = \frac{3}{4} [/tex]

Substituting into point-slope form,

y - 6 = 0.75(x - 3)

y - 6 = 0.75x - 2.25

y = 0.75x + 3.75

Answer:

(4, -3)

Step-by-step explanation:

y = f(x -5) means y = f(x) shifted 5 units to the right. So the minimum point would shift 5 units to the right as well.

Answer:

406 candles in all.

Step-by-step explanation:

She needs 6 large arrangements with 25 candles in each arrangement.

Multiply 25 and 6 to find how much candles for all large arrangements combined.

25*6=150

She also needs 13 small arrangements with 12 candles in each arrangement.

Multiply 13 and 12 to find how much candles for all the small arrangements combined.

13*12=156

Add the answers together to find how many candles in all.

156+150=406.

She needs 406 candles in all.

Hope this helps!

Answer:

306

Step-by-step explanation:

First we find the number of candles needed for each size of arrangement.

Large Arrangements:

6 large arrangements with 25 candles each:

25 × 6 = 150

Small Arrangements:

13 small arrangements with 12 candles each:

13 × 12 = 156

Now we add the results above to find a grand total:

total = 150 + 156 = 306

The question is an illustration of combination and there are 729 potential pass codes available

The given parameters are

Symbols available = 9

Length of pass code = 3

From the question, we understand that a symbol may be entered any number of times.

This means that each of the 9 available symbols can be used three times

So, the number of potential pass codes is

Passcodes = 9 * 9 * 9

Evaluate the product

Passcodes = 729

Hence, there are 729 potential pass codes available

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19 sweets are lefted.

Lets simplify the problem,

Maximum no. of bag filled by 4275 sweets

Through Simple Division we get,

4275/28 ~=152

Therefore , there is 4256 sweets in 152 bags

Therefore, 4275-4256=19 sweets are left

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Answer:

[tex]\sf x = \dfrac{n - 2mp}{2m}[/tex]

Step-by-step explanation:

              [tex]\sf 3m = m + \dfrac{n}{p + x}\\[/tex]

        [tex]\sf 3m - m = \dfrac{n}{p +x}[/tex]

                [tex]\sf 2m = \dfrac{n}{p +x}[/tex]

Now cross multiply,

          2m*(p +x) = n

To open the parenthesis, multiply 2m by p and x.

        2mp + 2mx = n

 Isolate the term with variable 'x'

                    2mx = n - 2mp

Now, isolate 'x', by dividing both sides by 2m

                          [tex]\sf x = \dfrac{n-2mp}{2m}[/tex]                            

Answer:

x = [tex]\frac{N-2MP}{2M}[/tex]

Step-by-step explanation:

3M = M + [tex]\frac{N}{P+x}[/tex] ( subtract M from both sides )

2M = [tex]\frac{N}{P+x}[/tex] ( multiply both sides by P + x to clear the fraction )

2M(P + x) = N ← distribute parenthesis on left side

2MP + 2Mx = N ( subtract 2MP from both sides )

2Mx = N - 2MP ( divide both sides by 2M )

x = [tex]\frac{N-2MP}{2M}[/tex]

Answer:

1.D 2.C 3.A 4.B

Step-by-step explanation:

hope this helped

Answer:

A

Step-by-step explanation:

point H is the point of intersection of the perpendicular bisectors of the triangle's sides and is the circumcentre.

Answer:

A. Circumcenter

Step-by-step explanation:

this is the point that has the same distance from all 3 vertexes.

being on the median line of DE, every point of that line has the same distance to D and E.

being also on the median line of FE means it has the same distance from F and E as every other point on that line.

and the same for DF.

H as the crossing point of all 3 median lines is the only point that has the same distance to D, E and F.

so, H is the center of a circle that goes through all 3 points.

Solving a system of equations we can see:

First, let's define the variables:

We can write the system of equations:

S = (3/4)*M

M = K - $18

S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

(3/4)*M + M + (M + $18) = $286.40

Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

K = M + $18 =  $97.60 + $18 = $115.60

S =  (3/4)*M =  (3/4)*$97.60 = $73.20

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There are zero positive real roots for the given polynomial equation [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]. This is explained by Descarte's rule of signs. So, the best choice is T (true).

The given polynomial equation is [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]

On applying Descarte's rule of signs,

[tex]f(x)=x^4 + x^3 + x^2 + x + 1[/tex]

Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.

[tex]f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\ = x^4-x^3+x^2-x+1[/tex]

Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.

Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).

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Answer:CB,CH,AE,AB

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If the measures of angles 3 and 4 add to 90, then lines r and p meet at right angles making them perpendicular.

Answer: B.

Answer:

Step-by-step explanation:

After enlargement, the new photo would be 16 times larger. The answer is C: 16.

An enlargement can be described as a type of dilation in transformation which involves increasing the dimensions of an original image by a given scale factor, so that the new image is similar to the original image. Their sizes would be different while their shapes remain the same. Also, the ratio of their corresponding dimensions would be the same.

Given the following:

Dimension of original photo = 6 inches by 8 inches

Scale factor = 4

To find the new dimensions of the new photo, multiply the corresponding dimensions of the original photo by 4, thus:

6 × 4 = 24 inches

8 × 4 = 32 inches

New dimensions = 24 by 32

Area of original photo = 6 × 8 = 48 in.²

Area of new photo = 24 × 32 = 768 in.²

768/48 = 16

This means that the new photo is 16 times larger than the original photo.

The answer is: C. 16.

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The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

According to the statement

we have given that Vertex

(h,k) = (500, 15900)

And One of the points on the graph

(x,y) = (0,8400)

FIRST PART: we have to find the quadratic function

We can find the quadratic function by parabola's equation formula

y = a (x - h)² + k  -(1)

Input the numbers to the formula, to find the value of a

y = a (x - h)² + k

8400 = a(0 - 500)² + 15900

8400 = a (500)² + 15900

8400 = 250000a + 15900

-250000a = 15900 - 8400

-250000a = 7500

a = 7500/-250000

a = 0.03

Now,

Submit a to the formula (1)

y = a (x - h)² + k

y = 0.03 (x - 500)² + 15900

this is the quadratic equation.

SECOND PART: Find the linear function

the total cost = cost each helmet × the number of helmet

y = 26x

So,

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

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Disclaimer: This question was incomplete. Please find the full content below.

Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)

x= number of helmets

y = amount in dollars

Which system models this situation?

a) y = 26x and y = 8,400(x-500)2+15,900

b) y = 26x and y = -0.030(x-500)2+15,900

c) y = x/26 and y = -0.030(x-500)2+15,900

d) y = x/26 and y =8,400(x-500)2+15,900

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Answer:

B. y = 26x and y = -0.030(x-500)2+15,900

Step-by-step explanation:

Using the Pythagorean Theorem, the perimeter of the triangle is of 58.7 cm.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

From your description, I will suppose that the legs are of 6 cm and 26 cm, hence the hypotenuse is:

[tex]h^2 = 6^2 + 26^2[/tex]

[tex]h = \sqrt{6^2 + 26^2}[/tex]

h = 26.7.

The perimeter is the sum of the lengths of the three sides, hence:

P = 26.7 + 26 + 6 = 58.7 cm.

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Step-by-step explanation:

well, as you can witness both of the equations are equal to y, so you're free to reckon that they are equal as well

[tex]6x - 3 = 2x + 17 = = = > \\ 4x = 20 = = = > x = 5 \: and \: \\ y = 6(5) - 3= = = > y = 27[/tex]

Answer:

<3

Step-by-step explanation:

5, 27 is right on acellus

x=5

y=27

Answer:

(8, -9)

Step-by-step explanation:

Hope this helps:)

The point (-8,9) is rotated 180° in clockwise direction about the origin, the new coordinates is (8,-9).

According to the question,

The point (-8,9) is rotated 180° in clockwise direction about the origin, the new coordinates is (8,-9).

Hence, the new coordinates is (8,-9).

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a. Amount needed to wrap the outside of the rectangular mirror around = 32 inches.

b. Area of the Beau Thai's rectangular mirror around = 60 square inches.

Area of a rectangle = (l)(w), where l is the length and w is the width of the rectangle.

Perimeter of a rectangle = 2(l + w), where l is the length and w is the width of the rectangle.

a. The amount of ribbon that can be used to wrap the outside of the mirror around can be determined by using the formula for the perimeter of a rectangle.

Length of rectangular mirror = 6 inches

Width of rectangular mirror = 10 inches

Perimeter = 2(6 + 10)

Perimeter = 2(16)

Perimeter = 32 inches

Amount needed to wrap the outside of the rectangular mirror around = 32 inches.

b. The area of Beau Thai's rectangular mirror can be determined by using the formula for the area of a rectangle.

Length of rectangular mirror = 6 inches

Width of rectangular mirror = 10 inches

Area = (6)(10)

Area = 60 square inches

Area of the Beau Thai's rectangular mirror around = 60 square inches.

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Answer:

This would be true for a rectangle and a square.

Step-by-step explanation:

Rectangles and square have 90 angles.  The exterior angles would also equal 90 because 90 + 90 is 180.  An interior angle and the exterior angle are supplements (add together to 180).

The probability of selecting 3 pencils from a box  of 5 red , 3 blue, 4 green pencils is 60/1320.

Given that box contains 5 red pencils, 3 blue pencils abd 4 green pencils.

We have to calculate the probability that 3 red pencils are selected from box. Probability is the likeliness of happening an event among all the events possible.It lies between 0 and 1. The formula of calculating probability is as under:

Probability = number of items/ total items.

Number of pencils in box=12

Number of red pencils=5

Number of blue pencils=3

Number of green pencils=4

Probability of randomly selecting 3 red pencils will be 5*4*3/12*11*10 if pencil is not replaced after drawn of pencil.

=60/1320

=1/22

Hence the probability that 3 red pencils are selected is 1/22.

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Congruency property relates to two or more triangles with similar dimensions, and internal angles. So that the required statements to complete the proof are:

1. definition of a straight angle.

2. subtraction property of equality

3. corresponding sides of similar triangles are proportional

4. transitive property of equality.

The intersection of two or more lines forms a number of angles which depends on the number of lines involved. These angles formed may have similar or different properties.

When two or more triangles have similar lengths of sides and measure internal angles, it can be said that they are congruent. Thus they have some common properties.

Therefore, the appropriate statements to answer the given question are stated below:

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