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2 years ago

11

The local bakery uses 1.75 cups of flour in each batch. The bakery used 5.35 cup of flour this morning. If there are 5 dozen coo

kies in each batch, how many cookies did the bakery make

1 answer:

mr Goodwill [35]2 years ago

6 0

5 dozen = 5x12 = 60 per batch
60x3 =180 cookies in total.

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3x + 5y = 7<br> How to solve it

Lubov Fominskaja [6]

Answer:

x=1 and y=4/5

Step-by-step explanation:

<u>Given system of equations</u>

3x+5y=7

5x+10y=13

<u />

<u>Multiply first equation by 2</u>

2(3x+5y)=2(7)

6x+10y=14

<u>Eliminate y-variable to get "x"</u>

6x+10y=14

<u>- 5x+10y=13</u>

x = 1

<u>Substitute x=1 into either equation and find "y"</u>

3x+5y=7

3(1)+5y=7

3+5y=7

5y=4

y=4/5

Therefore, x=1 and y=4/5

6 0

2 years ago

The ordered pairs in the table below represent a linear function.

GenaCL600 [577]

Answer:

$\displaystyle m=2$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (6, 2)

Point (9, 8)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

Substitute in points [Slope Formula]: $\displaystyle m=\frac{8-2}{9-6}$
[Fraction] Subtract: $\displaystyle m=\frac{6}{3}$
[Fraction] Divide: $\displaystyle m=2$

5 0

2 years ago

PLS HELPPPP MEEEE I NEED WORK SHOWN TOO

Elanso [62]

The series of operations for each case are listed below:

GCF / GCF / GCF
GCF / Grouping
Quadratic trinomial
GCF / Quadratic trinomial
Difference of squares
Difference of cubes / Quadratic trinomial
Sum of cubes
GCF / Quadratic trinomial
GCF / Difference of squares

<h3>How to applying factor properties to simplify algebraic expressions</h3>

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y Given

5 · (x · y³ + 2 · x² · y) GCF

5 · x · (y³ + 2 · x · y) GCF

5 · x · y · (y² + 2 · x) GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21 Given

3 · x · (z + 3) + 7 · (z + 3) GCF

(3 · x + 7) · (z + 3) Grouping

Case 3

a² + 2 · a - 63 Given

(a + 9) · (a - 7) Quadratic trinomial

Case 4

6 · z² + 5 · z - 4 Given

6 · [z² + (5 / 6) · z - 2 / 3] GCF

6 · (z - 1 / 2) · (z + 4 / 3) Quadratic trinomial

Case 5

81 · m² - 25 Given

(9 · m + 5) · (9 · m - 5) Difference of squares

Case 6

8 · x³ - 27 Given

(2 · x - 3) · (4 · x² + 6 · x + 9) Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4] Quadratic trinomial

Case 7

27 · b³ + 64 · z³ Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²) Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w Given

2 · w · (w² - 14 · w + 40) GCF

2 · w · (w - 4) · (w - 10) Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶ Given

2 · (100 · a⁴ - 9 · b⁶) GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³) Difference of squares

To learn more on polynomials: brainly.com/question/17822016

#SPJ1

7 0

9 months ago

While visiting Wallawulla State Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa

katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135 - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0

2 years ago

Shawna found coins worth $4.32. One- fourth of the found coins are pennies and one- sixth are quarters. The number of nickels fo

eduard

Answer:

8 quarters

12 nickels

12 pennies

16 dimes

Step-by-step explanation:

The trick is to ASSUME the dimes.

Start by thinking about the three explicit premises and the one implicit premise.

1) Quarters = 1/6 of total coins

2) Nickels = 1.5 the number of quarters

3) Pennies = 1/4 of total coins

Also, ASSUME an unknown number of dimes to fill in the gap.

48 Total Coins = $4.32

⅙ of 48 = 8 8 quarters = $2.00

1.5 x 8 = 12 12 nickels = $0.60

¼ of 48 = 12 12 pennies = $0.12

Add those coins = $2.72

Take the known total and minus this sum.

$4.32 - $2.72 = $1.60

16 dimes = $1.60

Thus, you have the following:

8 quarters (⅙ of total coins) $2.00

12 nickels (1.5 the number of quarters) $0.60

12 pennies (¼ the number of total coins) $0.12

+ 16 dimes $1.60

Total Coins 48 $4.32

8 0

3 years ago