Granola 6 cups rolled oats 2 cups mixed nuts 1 2 cup sesame seeds 1 cup dried cranberriesWhat is the ratio of cups of mixed nuts to the total number of cups of granola? The ratio of cups of mixed nuts to cups of granola is to . 1 cup dried unsweetened coconut 1 2 cup honey

Answer:

x = 5 and x = 11

Step-by-step explanation:

The segment through the center is a perpendicular bisector of the chord, thus

5x - 6 = 2x + 9 ( subtract 2x from both sides )

3x - 6 = 9 ( add 6 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

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

Tangents to a circle from an external point are congruent, thus

4x - 1 = 3x + 10 ( subtract 3x from both sides )

x - 1 = 10 ( add 1 to both side

Answer:

x = 5 and x = 11

Step-by-step explanation:

The segment through the centre is a perpendicular bisector of the chord, thus

5x - 6 = 2x + 9 ( subtract 2x from both sides )

3x - 6 = 9 ( add 6 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

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

Tangents to a circle from an external point are congruent, thus

4x - 1 = 3x + 10 ( subtract 3x from both sides )

x - 1 = 10 ( add 1 to both sides )

x = 11

Answer:

See  below.

Step-by-step explanation:

Convert to decimal form

7 3/5 = 7.6

7 7/10 = 7.7

10 2/5 = 10.4

8 1/2 = 8.5

So the answer is

7 3/5 , 7 7/10, 8.3, 8.1/2, 10.2  10 2/5, 11.1.

Answer:

2. -6

4. 0

8. 2

Step-by-step explanation:

Order of Operations: BPEMDAS

2

Step 1: Write out expression

-(8 - 2)

Step 2: Parenthesis (Subtract)

-(6)

Step 3: Multiply

-6

4

Step 1: Write out expression

-(0 + 0)

Step 2: Parenthesis (Add)

-(0)

Step 3: Multiply

0

8

Step 1: Write out expression

3 - [-(-1)]

Step 2: Brackets (Multiply)

3 - 1

Step 3: Subtract

2

Answer: (22)(39) = 858.

Step-by-step explanation:

Product of a number simply means that one has to multiply the numbers that are given. For example, if a student is told to find the product of 2 and 5, it simply means that 2 × 5 = 10.

Regarding the above question, the product of 22 and 39 is represented by: (22)(39) = 858. It should be noted that 22 × 39 = 858

Answer:

Read Exp:

Step-by-step explanation:

Area = 3.14 x r^2

I've Included a picture to tell you how to get the diameter as well as the circumference.

Answer:

formula is πr² ( pi x radius squared)

Step-by-step explanation:

the value of π is 3.142...

multiply this value with the squared radius of the circle and you'll get your answer.

For example:

we have a circle with diameter 5

so,  π x 5² = 3.142 x 25 = 78.5

Answer:

c

Step-by-step explanation:

Answer:

Please refer to the attached diagram for answer.

Step-by-step explanation:

Upper-left coordinates on a rectangle are (-1, 4)

Upper-right coordinates are (3, 4)

Perimeter of rectangle = 24 units

To find:

To draw the rectangle on the coordinate plane.

Solution:

Let the rectangle be ABCD.

So, sides AB  = CD and BC = DA

Let Point A has coordinates (-1, 4).

And upper right coordinates will be adjacent to A.

So, let Point B (3, 4).

Let us find the distance between A and B by distance formula:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where,

[tex]x_2 = 3\\x_1 = -1\\y_2 = 4\\y_1 = 4[/tex]

[tex]AB = \sqrt{(3-(-1))^2+(4-4)^2}\\\Rightarrow AB = \sqrt{(4)^2+(0)^2}\\\Rightarrow AB = 4[/tex]

AB = 4 = CD

Perimeter of rectangle = Sum of all four sides = 2 (AB+DA) = 24

[tex]2 \times 4 + 2DA = 24\\\Rightarrow 2DA=24-8\\\Rightarrow 2DA=16\\\Rightarrow DA =8\ units[/tex]

As it is a rectangle, its adjacent sides will be perpendicular to each other.

When we move from A to B only x coordinate is changing and it has changed by  4 (3- (-1) ) units. (Found by subtracting the x coordinates of the two points.)

Similarly, when we will move from D to A, only y coordinate will change by 8 units. (D is lower left coordinate so add 8 to y)

[tex]\Rightarrow y + 8 = 4 \Rightarrow y =-4[/tex]

[tex]x[/tex] coordinate will be same as that of A i.e. -1.

So, D will be (-1, -4)

Similarly, when we will move from C to B, only y coordinate will change by 8 units. (C is lower right coordinate so add 8 to y)

[tex]\Rightarrow y + 8 = 4 \Rightarrow y =-4[/tex]

[tex]x[/tex] coordinate will be same as that of B i.e. 3.

So, C will be (3, -4).

Now, let us draw

A(-1, 4)

B(3, 4)

C (3, -4)

D(-1, -4)

Please refer to the attached diagram for answer.

Answer:

A(-1, 4) B(3, 4)C (3, -4)D(-1, -4)

Step-by-step explanation: Brainliest plus-size

Answer:

The answer is below

Step-by-step explanation:

Let the money charged to wrap a small gift be $x and the money charged to wrap a large gift be $y. The cost of wrapping 14 small gifts and 15 large gifts is $205, It can be represented by the equation:

14x + 15y = 205                 (1)

Also, the cost of wrapping 47 small gifts and 45 large gifts is $640. It can be represented by the equation:

47x + 45y = 640                 (2)

Solving equation 1 and equation 2 simultaneously. Multiply equation 1 by 3 and subtract from equation 2:

5x = 25

x = 25/5 = 5

x = 5

Put x = 5, in equation 1 and solve:

14(5) + 15y = 205

15y + 70 = 205

15y = 205 - 70

15y = 135

y = 135 / 15

y = 9

This means that the money charged to wrap the small gift is $5 and to wrap the large gifts is $9

Answer:

98.25

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Convert [tex]27^{\frac{4}{3} }[/tex]

[tex]27^{\frac{4}{3} }[/tex] = ∛(27⁴) = 81

Step 2: Convert [tex]32^{0.8}[/tex]

[tex]32^{0.8}[/tex] = 16

Step 3: Convert [tex]0.8^{-1}[/tex]

[tex]0.8^{-1}[/tex] = 1.25

Step 4: Combine

81 + 16 + 1.25

97 + 1.25

98.25

Answer:

-10x

Step-by-step explanation:

-2x-4=-6x

-4-6x = -10x

Answer:

x = -2

Step-by-step explanation:

To solve for x:

Therefore, x equals -2.

To simplify the equation:

Answer:

-15.

Step-by-step explanation:

G(-5) = 2(-5) - 1

= -10 - 1

= -11

H(-11) = -11 - 4

= -15

Hope this helps!

Answer:

h(g(-5))= -15

Step-by-step explanation:

We are asked to find h(g(-5)).

First, we must find g(-5).

We know that g(x)=2x-1. Therefore, to find g(-5), we must plug -5 in for x.

g(x)= 2x-1

g(-5)= 2(-5) -1

Multiply 2 and -5.

g(-5)= -10 -1

Subtract 1 from -10.

g(-5)= -11

Now, we can substitute -11 in for g(-5).

h(g(-5)

g(-5)= -11

h(-11)

Now, we must find h(-11).

We know that h(x)= x-4. So, we can plug -11 in for x.

h(x)= x-4

h(-11)= -11-4

Subtract 4 from -11.

h(-11)= -15

h(g(-5)=  -15

Answer:

A) 9

Step-by-step explanation:

Hello!

A constant is a fixed and defined number.

A constant is any number that does not have a variable next to it

The only number in the equation that follows this is 9

Hope this Helps!

The constant from the expression is 9. option A

Algebraic expressions are defined as expressions that are made up of variables, constants, factors and coefficients.

Also, these algebraic expressions are made up of arithmetic operations, such as;

From the information, we have that the expression is given as;

[tex]15x^2 + 2x + 9[/tex]

We have then that;

The terms are; 15x , 2x and 9

The coefficient of x is 2

The coefficient of x² is 15

The constant is 9

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ2

Answer:

"subset"

Step-by-step explanation:

The "set within a set" is called a "subset."

Answer:

(x²)² + 2(9)x² + 9²

(x² + 9)²

Step-by-step explanation:

Given expression in the question is,

(x⁴ + 18x²+ 81)

We have to factorize this expression.

We know the formula of (a + b)² = a² + 2ab + b²

Comparing this formula with the given expression,

a = x²

b = 9²

By substituting these values in the given formula,

Therefore, (x⁴ + 18x²+ 81) = (x²)² + 2(9)x² + 9²

                                         = (x² + 9)²

Answer:

A

Step-by-step explanation:

The range is the y-values, so it’s all numbers less than or equal to 4.

The domain is the x-values, so it’s all real numbers.

Answer:

-18

Step-by-step explanation:

km

k= -3

m= 6

km = -3*6

km = -18

Answer:

The answer is -18.

Step-by-step explanation:

k×m

-3×6

-18

answer

r = b²-4ac

= 81 + 36

= 117

Answer:

Caleb's actual height is 48 inches

Step-by-step explanation:

Alison's height in the photograph= 4 cm

Caleb's height in the photograph= 3.2 cm

Alison's actual height= 60 in

Caleb's actual height=x in

60 in= 152.4 cm

Alison's height in photograph : Her actual height = Caleb's height in photograph : his actual height

4cm : 152.4cm = 3.2cm : xcm

4 / 152.4 = 3.2 / x

Cross product

4 * x = 152.4 * 3.2

4x = 487.68

Divide both sides by 4

x= 121.92 cm

121.92 cm = 48 in

Caleb's actual height is 48 in

Step-by-step explanation:

Decimals are great for when you are dealing with money and want to round up, and fractions are used when baking (such as need 1/4 or a half cup of something)

Answer:

65

Step-by-step explanation:

Let c = number of correct answer.

Let i = number of incorrect answers.

There are 100 questions, so

c + i = 100

The correct answers are worth 0.5c.

The incorrect answers are worth -0.3i (a negative value because 30 cents is taken away for each incorrect answer)

The total worth of the answers is 0.5c - 0.3i. The total worth of the answers is $22.00, so the second equation is

0.5c - 0.3i = 22

We have a system of two equations in 2 unknowns:

c + i = 100

0.5c - 0.3i = 22

We'll use the substitution method to solve the system of equations.

Solve the firt equation for c:

c = 100 - i

Now substitute 100 - i for c in the second equation.

0.5(100 - i) - 0.3i = 22

50 - 0.5i - 0.3i = 22

-0.8i = -28

i = 35

c = 100 - i

c = 100 - 35

c = 65

Answer: 65 problems were solved correctly.

Answer:

-60%

-$50

Step-by-step explanation:

As the statement says that the price of the jacket was reduced by 40%, to determine the percent that the sale price represents from the original price, you have to subtract 40% from 100% that represents the original price:

100%-40%= 60%

This means that $30 represents 60% of the original price.

-To determine the original price of the jacket, you can use the rule of three:

$30 →  60%

 x    ←  100%

x=(100*30)/60= 50

According to this, the original price of a jacket was $50.

Answer: -a+1

Step-by-step explanation:

 -4a+8+3a-9

=-4a+3a+8-9

=(-4a+3a)+(8-9)

=-a+1

Hope this helps!! :)

Answer: -a -1

Step-by-step explanation:

Answer:

56 miles

Step-by-step explanation:

c...................

Answer: 169.2cm

Step-by-step explanation:

From the question, we are informed that three equal-sized cardboard boxes are stacked on top of each other and that each box is 56.4 cm in height.

To get the combined height of the 3 stacked boxes, we multiply 56.4cm by 3. This will be:

= 56.4cm × 3

= 169.2cm

Answer:

The 90% confidence​ interval is (-1.987, -1.320).

Step-by-step explanation:

The data provided is:

Sleep without        Sleep using

    the drug           the drug d=without-with

         2.5                       4.3                  -1.8

         2.7                       4.2                  -1.5

         3.8                       5.0                  -1.2

         3.8                       6.2                 -2.4

          1.8                       2.5                 -0.7

         4.7                        7.1                 -2.4

         4.8                        7.1                 -2.3

         2.7                        3.3                 -0.6

         1.8                        3.5                 -1.7

        2.2                        4.3                 -2.1

        3.6                        4.3                 -0.7

        5.3                        7.0                  -1.7

        5.2                        7.6                 -2.4

Compute the sample mean and sample standard deviation:

[tex]\bar d=\frac{1}{n}\sum d=\frac{1}{13}\times [(-1.8)+(-1.5)+(-1.2)+...+(-2.4)]=-1.654\\\\S_{d}=\sqrt{\frac{1}{n-1}\sum [d-\bar d]^{2}}=0.6753[/tex]

The degrees of freedom of the test is:

df = n - 1 = 13 - 1 = 12

Compute the critical value of t for 90% confidence​ level and 12 degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.10/2, 12}=1.782[/tex]

Compute the 90% confidence​ interval as follows:

[tex]\bar d-t_{\alpha/2, (n-1)}\cdot\frac{S_{d}}{\sqrt{n}}<\mu_{d}<\bar d+t_{\alpha/2, (n-1)}\cdot\frac{S_{d}}{\sqrt{n}}[/tex]

[tex]-1.645-[1.782\cdot\frac{0.6753}{\sqrt{13}}]<\mu_{d}<-1.645+[1.782\cdot\frac{0.6753}{\sqrt{13}}]\\\\-1.645-0.334<\mu_{d}<-1.654+0.334\\\\-1.988<\mu_{d}<-1.320[/tex]

Thus, the 90% confidence​ interval is (-1.987, -1.320).

Answer:

≈ 83.9 cm²

Step-by-step explanation:

Given:

Then:

Area of  the triangle is found by using Herons formula:

where s = P/2 = 44/2 = 22 cm

Answer:

[tex]\huge \boxed{\mathrm{83.9 \ cm^2}}[/tex]

Step-by-step explanation:

Two sides of the triangle are given.

The perimeter is given.

We need to solve for the third side.

[tex]P=a+b+c[/tex]

[tex]P= \sf perimeter[/tex]

[tex]a,b,c= \sf side \ lengths[/tex]

[tex]44=18+12+c[/tex]

[tex]c=14[/tex]

The measure of the third side is 14 cm.

When three sides of the triangle are given, we can solve for the area using Heron’s formula.

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]s=\sf semi \ perimeter[/tex]

[tex]\displaystyle s=\frac{P}{2} =\frac{44}{2} =22[/tex]

Plugging in the values and evaluating.

[tex]A=\sqrt{22(22-18)(22-12)(22-14)}[/tex]

[tex]A = 83.904708...[/tex]

The area of the triangle is approximately 83.9 cm².

Answer:

400 cubic yards

Step-by-step explanation:

There are three cubic feet in each cubic yard