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3 years ago

Dan has 108 muffins, which he needs to box up, 6 of which are blueberry, into dozens. How many boxes does he need?

Mathematics

1 answer:

Keith_Richards [23]3 years ago

5 0

Answer:

9 Boxes

Step-by-step explanation:

Take 108 and divide by 12

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What is the inequility?

antiseptic1488 [7]

The inequality is e-7>1 The simplifies version of that inequality is e>8

7 0

3 years ago

What integer is equivalent to 25 3/2?

ELEN [110]

Answer:

$25\frac{3}{2} =26.5$

Step-by-step explanation:

This mixed number can be separated into 25 and $\frac{3}{2}$ . Convert the fraction to a decimal by plugging it into a calculator, then add 25.

If you meant what whole number is equivalent, that does not exist.

5 0

2 years ago

Four times the sum of a number and 6 is equal to 2

olga55 [171]

Answer:

5.5

Step-by-step explanation:

The equation that models this problem is

4(x+6)=2 ->

4x+24=2 ->

4x=-22

x=5.5

3 0

3 years ago

Let F(x) = x^2 – 15 and G(x)= 4 - x Find (F/G)(–7) =

KATRIN_1 [288]

Answer:

$\displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{34}{11}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation

Step-by-step explanation:

Step 1: Define

Identify

F(x) = x² - 15

G(x) = 4 - x

Step 2: Find

Substitute in functions: $\displaystyle \bigg( \frac{F}{G} \bigg)(x) = \frac{x^2 - 15}{4 - x}$

Step 3: Evaluate

Substitute in x [Function (F/G)(x)]: $\displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{(-7)^2 - 15}{4 - (-7)}$
Exponents: $\displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{49 - 15}{4 - (-7)}$
Subtract: $\displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{34}{11}$

8 0

3 years ago

A. Find PR in the diagram b. Find the perimeter of quadrilateral PQRS

Elan Coil [88]

Answer:

Step-by-step explanation:

The quadrilateral has 4 sides and only two of them are equal.

A) to find PR, we will consider the triangle, PRQ.

Using cosine rule

a^2 = b^2 + c^2 - 2abcos A

We are looking for PR

PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70

PR^2 = 64 + 49 - 112 × 0.3420

PR^2 = 113 - 38.304 = 74.696

PR = √74.696 = 8.64

B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,

We will use the sine rule because only one side,PR is known

For sine rule,

a/sinA = b/sinB

SP/ sin 35 = 8.64/sin110

Cross multiplying

SPsin110 = 8.64sin35

SP = 8.64sin35/sin110

SP = (8.64 × 0.5736)/0.9397

SP = 5.27

SR = SP = 5.27

The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm

6 0

3 years ago