Martha's Bakery is baking loaves of banana bread and poppy-seed almond bread. The recipe for one loaf of banana bread calls for two cups of flour and one teasooon of baking soda. One loaf of poppy-seed almond bread reauires cups of flour and a teaspoons of baking soda. The bakery has 24 cups of flour and 26 teaspoons of baking soda in stock. Write a system of linear inequalities to model how many loaves of bread can be baked. graph the inequalities that represent how many loaves of each type of bread the bakers can make Which of the following combinations can they make based on their current supply of flour and bakine sodal Check all that apply.

01 banana bread and 5 poppy seed almond breaads

O3 banana breads and 11 poppy-seed almond breads

D 6 banana breads and 8 poppy seed aimond breads

D7 banana breads and 9 poppy-seed amond bre ads

09 banana breads and 5 poppy-seed almond breads

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer:

There is 8 adults and 1 child

Step-by-step explanation:

$78 - $6 = $72

$72 divided by 9 = 8

you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)

\(\dfrac{x^2-15x+36}{5x-60}\)

\(= \dfrac{(x-3)(x-12)}{5x-60}\)

\(= \dfrac{(x-3)(x-12)}{5(x-12)}\)

\(= \dfrac{(x-3)}{5}\\= \dfrac{x-3}{5}\)

\(\dfrac{x-3}{5}\), \(x\neq12\)

Answer:

in both equatons, x=1

Step-by-step explanation:

there is no x on the right side of the equation, so x never changes. it is 1.

Answer:

-1

Step-by-step explanation:

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

The total number of significant figures ( numerically as an integer ) in the given measurement 6.07 m is equal to 3.

Here in the measurement 6.07 m

Zero is in between two non zero digit 6 and 7.

Zero is countable.

Total number of significant figure in 6.07 m is 3.

Therefore, the number of significant figure in the 6.07 m is equal to 3.

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The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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Answer:

0.13093

Step-by-step explanation:

Give. That :

Population mean = 40% = 0.4

Sample size (n) = 64

Probability that more than 30 have computer at home

Mean = np = 64 * 0.4 = 25.6

Standard deviation = sqrt(n*p*(1-p)) = 3.919

P(x > 30)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (30 - 25.6) / 3.919 = 1.1227353

p(Z < 1.122) = 0.13093 ( Z probability calculator)

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.

Answer:

Let x be how much more money Jose needs to save.

135 + x = 499

x = 364

Jose needs to save 364 more dollars.

Let me know if this helps!

Answer:

364*

Step-by-step explanation:

499-135=314

364+ 135=499

I put 449 instead of 499 so now i feel foolish. But that's okayy.

yeap, diagonals are congruent, so TS = 75.

\(\stackrel{TS}{75}~~ = ~~11u-24\implies 99=11u\implies \cfrac{99}{11}=u\implies 9=u\)

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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Answer:

(Y)

Step-by-step explanation:

The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

According to the fundamental theorem of algebra.

The polynomial function has only exactly 6 roots.

The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.

If the degree of the variable is n then the number of the roots will be n or less than n.

If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.

Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.

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An explicit formula for the arithmetic sequence is aₙ = 14 - 4(n - 1).

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ = a₁ + (n - 1)d

Where:

From the information provided, we have the following parameters:

First term, a₁ = 14

Second term, a₂ = 10

Third term, a₃ = 6

Next, we would determine the common difference as follows:

Common difference, d = a₂ - a₁

Common difference, d = 10 - 14

Common difference, d = -4

Substituting the parameters into the mathematical expression, we have;

aₙ = 14 + (n - 1)(-4)

aₙ = 14 - 4(n - 1).

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Step-by-step explanation:

z = 5y/8

x = 3y/8

2x + 3y - z = 50

6y/8 + 3y - 5y/8 = 50

6y/8 + 24y/8 - 5y/8 = 50

25y/8 = 50

25y = 400

y = 16

x = 3y/8 = 3×16/8 = 3×2 = 6

z = 5y/8 = 5×16/8 = 5×2 = 10

The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions

Given: |x+3|-2=k

Below are rules for solving absolute value equations:

1. If p is positive and |y| = p, then

x = p   OR    y = -p

(two equations are set up)

2. If p is negative and |y| = p, then

No solution

3. If p is zero  and |y| = p, then

One solution

Using the rules:

|x+3|-2=k

when k = -1

|x+3|-2= -1    

|x+3| = 1

Rule 1 is applicable here. Thus, there are solutions  

when k = -3

|x+3|-2 = -3

|x+3| = -1

Rule 3 is applicable here. Thus, no solution

Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions.     The 2nd option is the true statement

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Answer:

b,c and d are the answers

Step-by-step explanation:k12

Expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

So, the expressions equivalent to 1.3−4x−3.7 are:

Solve: 1.3−4x−3.7

Now, calculate for - 2.4 - 4x:

(A) −0.6−4−x:

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

Therefore, expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

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Correct question:
Which expressions are equivalent to 1.3−4x−3.7?

Select all correct answers.

(A) −0.6−4−x

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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Answer:

5 burgers and 7 milkshakes

Step-by-step explanation:

1.5x5=7.5

2x7=14

7.5+14=21.5

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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Answer:

2m + 5s = 15

I hope it helps.

have a great day.

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

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Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

Using the Empirical Rule, the correct option regarding the skewness of the distribution is given as follows:

(A) No, the distribution is skewed to the right.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:

In the context of this problem, the mean and the standard deviation are given as follows:

A huge percentage is within one standard deviation of the mean, and the distribution is not symmetric, hence it is not normal.

Since most values are at the lower bounds of the histogram, the distribution is right skewed and option a is correct.

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