A recipe for cookies calls for 1/4 cup of brown sugar for 1 batch. How many batches can be made with 1 cup of brown sugar

The bedroom should be 14.4 inches long in the scale drawing.

What is the proportion?

A proportion is an equation in which two ratios are set equal to each other.

If the scale of the drawing is 3 inches = 5 feet, that means that for every 3 inches on the drawing, it represents 5 feet in reality. To find how many inches the bedroom should be in the scale drawing, you can use the proportion:

(inches in scale drawing) / (feet in reality) = 3 inches / 5 feet

We know that the length of the actual bedroom is 24 feet. To find the length of the bedroom in the scale drawing, we can substitute 24 feet for the (feet in reality) in the proportion and solve for the (inches in scale drawing):

(inches in scale drawing) / 24 feet = 3 inches / 5 feet

Cross-multiplying gives:

(inches in scale drawing) = (24 feet)(3 inches / 5 feet) = 14.4 inches

Hence, the bedroom should be 14.4 inches long in the scale drawing.

To learn more about the proportion visit,

https://brainly.com/question/1496357

#SPJ1

The value of the expression given is undefined when x equals 2 and -2.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

(14+x)/(x^(2)-4)

This can be written as,

[tex]\frac{14+x}{x^{2} -4}[/tex]

The value of the expression is undefined when the denominator equals 0.

Denominator is [tex]x^{2} -4[/tex].

[tex]x^{2} -4[/tex] = 0

[tex]x^{2}[/tex] = 4

x = √4

x = ± 2

Hence when the value of x is +2 or -2, the expression is undefined.

Learn more about Expressions here :

https://brainly.com/question/14083225

#SPJ1

Answer:25/18y^7x

Step-by-step explanation:(Multiply the numerator by the reciprocal of the denominator.)

20x^-4/27y^2*15y^-5/8x^-3

then simplify

20*15/27y^7(8x)

cancel the common factor and you will get the answer

The statement 2 over 3 times 5 over 8 is [2/(3×5)]/8 which is equal

to 16 over 15.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A fraction [2/(3×5)]/8 which is,

=  {2/(3×5)/8}.

= {2/(15)/8}.

Now, Numerator 8 will multiply to numerator 2 which is,

= (2×8)/15.

= 16/15.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

The meaning of substitution originates from Latin with the basic meaning of "in place of." The meaning of substitution in math is an absolute, 100% replacement in value.

Mathematics properties are statements that have been tested and proven to be true. These properties are used always throughout math. The substitution property of equality, just like the others, is particularly useful.

The substitution property of equality describes that one value can replace another value in an expression or equation and the value will stay the same. For instance, if the values of y and z are equal, then they are interchangeable.

To know more about substitution property of equality, here

https://brainly.com/question/28893191

#SPJ4

Answer:

Step-by-step explanation:

The expression is (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number = 4,300.067

The given expressions y =- 3+7x and y= − 3 − 7x are compared with the general form of slope y=mx+c. And the y-intercept of both is found to be -3.

A line's slope, often known as its gradient, is a numerical value that represents the line's steepness and direction. This slope provides the ratio of the rise in y when x rises by a specific amount. Therefore, this may be calculated using the basic formula y=mx+c, where c stands for the y-intercept and m for the slope.

Given the expressions are y = -3+7x and y= -3-7x. Compare these two expressions one by one with the general form of the slope. By comparing the first expression we get, the slope as 7 and the y-intercept as -3. Similarly, comparing the second expression we get, the slope is -7 and the y-intercept is -3.

Therefore, the required answers are -3 and -3.

The complete question is -

What is the y-intercept of y =- 3+7x and y= − 3 − 7x?

To know more about the slope:

https://brainly.com/question/29006583

#SPJ4

You know the difference in the distance the boys ran, so this is an subtraction problem. The correct expression is s - 2.3=6.8

Length is measured in distance. For instance, the length of a road equals its distance.

The most popular units of measurement for distance in the metric system are millimeters, centimeters, meters, and kilometers.

A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is."

Step1:

Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km

Distance run by dean = 6.8 km

Distance run by dean = 2.3 fewer kilometers than Sam.

Let us assume that, distance run by same is s km

Step2:

Distance run by dean = s - 2.3

therefore,

s - 2.3 = 6.8

s = 6.8 + 2.3

s = 9.1 km .

Hence, The correct equation is s – 2.3 = 6.8 .

To learn more about distance of ran refers to;

https://brainly.com/question/26046491

#SPJ1

the diameter is multiple by two of the radius

Answer:

4

Step-by-step explanation:

8+(2x3)-6=8

8/2=4

Answer: Correct Answer Is:11

Step-by-step explanation: I Use Calculator To Help

The length of the base to the nearest inch is 37 inches

Given the following parameters from the questions:

Height of the ramp = 10in

angle of elevation = 15degrees

Using the SOH CAH TOA identity

tan 15 = opp/adj

tan 15 = 10/B

B = 10/tan15

B = 10/0.2679

B = 37 inches

Hence the length of the base to the nearest inch is 37 inches.

To learn more about Angle of elevation refer to:

https://brainly.com/question/88158

#SPJ1

A transversal is a third line that crosses two other lines.

Lines on a plane that do not intersect are considered parallel lines in geometry. It is referred to as being parallel when two straight lines in a plane do not cross at any point.

Eight distinct angles may be obtained by drawing two parallel lines, a line across them, and then another line through that.

A key mathematical ability that calls for conceptual comprehension and clarity is the angles form. Worksheets on angles generated by parallel lines and transversals provide a variety of activities and problems based on angles that can aid students in learning about angles.

Correct question: What is the angles formed by a transversal called?

To know more about angles visit: brainly.com/question/28451077

#SPJ4

When a parallelogram is reflected in an axis, the resulting image is also a parallelogram, with the same area and opposite angles.

To learn more about parallelograms refer to:

https://brainly.com/question/970600

#SPJ1

Step-by-step explanation:

see attachment

hope this helps!

-Rishabh

Answer:

----------------------------

Add up the mixed numbers in below steps:

The number of child tickets sold on Saturday is 5.

We know that at the city museum, the child admission is $5.20 and adult admission is $9.10. We also know that on Saturday 162 tickets were sold for a total sales of $1491.60.

We can use this information to find the number of child tickets sold on Saturday. We can set up an equation with the total sales and the price of the tickets.

Let x be the number of child tickets sold.

x(5.2) + (162-x)(9.10) = 1491.60

The equation represents the total sales by the number of child tickets sold multiplied by the price of child admission, and the number of adult tickets sold multiplied by the price of adult admission.

We can solve for x by isolating it and substituting the given values:

x(5.2) + (162-x)(9.10) = 1491.60

x*5.2 + (162-x)*9.10 = 1491.60

5.2x + 1472.20 - 9.10x = 1491.60

-3.9x = -19.40

x = 19.40/-3.9

x = 5

So, the number of child tickets sold on Saturday is 5.

Solve more problems on tickets at : https://brainly.com/question/14001767

#SPJ4

The answer is in the image attached below. Sorry for the goofy looking arrow.

The space left for the sand is  [tex]5\frac{3}{10}[/tex] square yards.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

Operands: An operation uses operands, which are numbers. Depending on the type of operation, different terms are applied to the operands.

Given the total space for beach play = [tex]8\frac{2}{5}[/tex] square yards

 [tex]8\frac{2}{5}[/tex] square yards = 42/5 square yards

and space for water = [tex]3\frac{1}{10}[/tex] square yards

[tex]3\frac{1}{10}[/tex] square yards = 31/10 square yards

let us assume the rest of the area for the sand

area of sand = total area - space for water

area of sand = 42/5 - 31/10

area of sand = (42(2) - 31)/0

area of sand = (84 - 31)/10

area of sand = 53/10

area of sand = [tex]5\frac{3}{10}[/tex] square yards

Hence the space left is  [tex]5\frac{3}{10}[/tex] square yards.

Learn more about Mathematical operators;

https://brainly.com/question/8959976

#SPJ1

There are 3060 ways to place 20 identical apples into 6 distinguishable boxes.

Here we have been given that there are 20 apples that are identical in nature but distinguishable boxes.

Now we see that there have to be at least 2 apples in every box.

Now the formula for combination things states that when n number of similar objects need to be placed in x  distinguishable things where at least a number of things must be placed is

ⁿ ⁻ ᵃCₓ ₋ ₐ

here n = 20

x = 6

a = 2

Hence we get

²⁰ ⁻ ²C₆ ₋ ₂

= ¹⁸C₄

= 18! / (14! X 4!)

= (18 X 17 X 16 X 15)/4 X 3 X 2

= 3 X 17 X 4 X 15

= 3060 ways

To learn more about Combination visit

https://brainly.com/question/29110744

#SPJ4

The length of top enclose r s end enclose = √(4² + 5²) = √(16 + 25) = √(41) = approximately 6.4 inches.

The length of top enclose r s end enclose can be determined using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Since top enclose p s end enclose is a diameter of the circle, it is the hypotenuse of a right triangle formed by top enclose p s end enclose, top enclose p q end enclose and top enclose p r end enclose. Thus, the length of top enclose r s end enclose is the square root of the sum of the squares of the lengths of the other two sides, which are 4 inches and 5 inches.

In other words, the length of top enclose r s end enclose = √(4² + 5²) = √(16 + 25) = √(41) = approximately 6.4 inches.

Learn more about Length of Top Enclose RS here:

https://brainly.com/question/7921609

#SPJ4

Answer:

f(- 2) = 5

Step-by-step explanation:

f(- 2) with x = - 2 in the interval x < 2, then f(x) = 3 - x , that is

f(- 2) = 3 - (- 2) = 3 + 2 = 5

Answer: The volume of a cone is given by the formula: V = (1/3) * π * r^2 * h

Where:

V is the volume

π is 3.14

r is the radius

h is the height

So in this case, using the given values:

V = (1/3) * 3.14 * (25^2) * 18

V = (1/3) * 3.14 * 625 * 18

V = (625 * 18 * 3.14) / 3

V = 35,325 ft^3

So the answer is (B) 35,325 ft3

Step-by-step explanation:

The slopes 3 and -1/3 are the opposites of one another. So the line y = 3x - 7 is perpendicular to line 3x + 9y = 9.

In the given question, we have to explain the line y = 3x - 7 is either parallel or perpendicular to 3x + 9y = 9.

The given equation is y = 3x - 7.

y = mx+ c is the line's equation in the slope-intercept form.

By comparing this to the preceding equation, we can determine that this line's slope is 3 and its y-intercept is -7.

Lines with equal slopes are said to be parallel. Lines that are perpendicular will have a slope product of -1.

3x + 9y = 9

We can write this equation as

9y = -3x + 9

Divide by 9 on both side, we get

y = -3/9 x + 9/9

y = -1/3 x + 1

Now the slope is -1/3 and y-intercept is 1.

Hence, the slopes 3 and -1/3 are the opposites of one another. So the line y = 3x - 7 is perpendicular to line 3x + 9y = 9.

To learn more about parallel and perpendicular of line link is here

brainly.com/question/29076164

#SPJ4

The complete question is:

Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

jill makes $10 for every hour. so she makes 10x amount of money, where x stands for the number of hours.

For every hour that Jill worked, she made $10. So, the amount of mony that jill can make can be written in the form of a linear equation. the standard equation for linear model is

y = mx + b

in this case, x shows the input, y shows the output, m shows the amount earned per hour and b would be the fixed amount she ears, which will be 0 in this case.

therefore, the amount of money she earns will be

y = 10x

A continuous response variable is portrayed in linear models as a function of one or more predictor variables. They can assist you in analyzing experimental, financial, and biological data, understanding and predicting the behavior of complex systems. A statistical technique used to construct a linear model is linear regression.

Learn more about linear model here:

https://brainly.com/question/29122305

#SPJ4

Heya! Quick answer/step by step:

Add like terms.  5b^2 is not a like term, no other numbers finish in "b^2".  -3b + 2b = -1b or -b, either one is correct.  2 - 4 = -2.   So you would get...

5b^2 + (- b) + (- 2)

Hope that helps!

Answer:

45 acres of wheat

Step-by-step explanation:

let w represent wheat then corn is 3w , so

w + 3w = 180

4w = 180 ( divide both sides by 4 )

w = 45

3w = 3 × 45 = 135

that is

135 acres of corn and 45 acres of wheat

The following are the measures of the vertical angles:

m∠EBF = m∠ABC = (3x + 15)° {vertical angles}

(3x + 15)° + (20x - 10)° + 60° = 180° {supplementary angles}

23x + 65° = 180°

x = (180° - 65)/23 {make x the subject}

x = 5

so;

m∠EBF = 3(5) + 15 = 30°

m∠ABC = m∠DBE = (2x + 14)° {vertical angles}

(2x + 14)° + (3x - 1)° = 180° {supplementary angles}

5x + 15° = 180°

x = (180° - 15)/5 {make x the subject}

x = 33°

so;

m∠ABC = 2(33) + 14° = 80°

m∠DBE = m∠CBG = (5x + 5)° {vertical angles}

(5x + 5)° + (x + 48)° + 55° = 180° {supplementary angles}

6x + 108° = 180°

x = (180° - 108°)/6 {make x the subject}

x = 12

so;

m∠EBF = 5(12) + 5 = 65°

m∠ABG = m∠EBG = (137 - 2x)° {vertical angles}

(137 - 2x)° + (5x)° + 25° = 180° {supplementary angles}

3x + 162° = 180°

x = (180° - 162)/3 {make x the subject}

x = 6

so;

m∠EBF = 137 - 2(6) = 125°

Therefore, the vertical angles m∠EBF, m∠ABC, m∠DBE, and m∠ABG have the measures 30°, 80°, 65°, and 125° respectively.

Know more about angles here: https://brainly.com/question/68367

#SPJ1

Answer:

Step-by-step explanation:

let Josh's current age be x.

2+ 25 times his current age= 25x+2

25x+2=77

25x= 77-2

     = 75

x= 75/25

 =3

Answer:

it can't be rounded so the answer is just 202

Step-by-step explanation:

The numerator (top) and denominator (bottom) of a fraction are said to be in their simplest form when they share no factors. Example :

-6s-2/-3(84)²

ac/bc = a/b

Example :

-6s-2/-3(84)²

-6s-2/-3(84)^2 = 0

-6·s-2/-3·(84)^2 = 0

6s = 4704

s = 4704/ 6  = 784

s = 784.

To Learn more About  fraction  Refer To:

https://brainly.com/question/78672

#SPJ1