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4 years ago

9

Taylor is building doghouse to see. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The plywo

od is shipped in bundles of 13 full sheets. How many doghouses can Taylor make from 16 bundles of plywood

1 answer:

yKpoI14uk [10]4 years ago

6 0

Since there are 13 sheets in a bundle, 16 bundles have 13*16=208 sheets. Next, we want to find how much 4 sheets goes into 208 sheets, so we have 208/4=52 doghouses

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Plz help me with this math and also explain

jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

SI = $250
Rate (R) = 12 $\sf \dfrac{1}{2}$ %
Time (t) = 4 years

$\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\$

$\longrightarrow \tt { 250 \times 100 = P \times 50} \\$

$\longrightarrow \tt { 25000 = P \times 50} \\$

$\longrightarrow \tt { \dfrac{25000}{50} = P } \\$

$\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\$

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

2/7 of the balls are red.
3/5 of the balls are blue.
Rest are yellow.
Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

$\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\$

$\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\$

$\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\$

$\longrightarrow \tt{ 31x + 1260= 35x} \\$

$\longrightarrow \tt{ 1260= 35x-31x} \\$

$\longrightarrow \tt{ 1260= 4x} \\$

$\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\$

$\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\$

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\$

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\$

$\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\$

$\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\$

8 0

3 years ago

Why can't 1.07 pounds of sugar be compared to 1.23 cups of sugar?

Anuta_ua [19.1K]

Answer:

A pound is a measure of weight and a cup is a measure of volume.

Step-by-step explanation:

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4 years ago

When a trinomial is factored as (x+p)(x+q), what is the product of p and q?

Aneli [31]

<span>The answer is the coefficient of the x-tem of the trinomial</span>

7 0

4 years ago

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If a person invests $100 at 4% annual interest, find the approximate value of

tekilochka [14]

Answer:

$140

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>

Simple Interest Rate Formula: $\displaystyle A = P(1 + rt)$

<em>P</em> is principle amount
<em>r</em> is rate
<em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>P</em> = 100

<em>r</em> = 4% = 0.04

<em>t</em> = 10

<u>Step 2: Find Interest</u>

Substitute in variables [Simple Interest Rate Formula]: A = 100(1 + 0.04 · 10)
(Parenthesis) Multiply: A = 100(1 + 0.4)
(Parenthesis) Add: A = 100(1.4)
Multiply: A = 140

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3 years ago

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svetlana [45]

Answer:

Look at the image.

Step-by-step explanation:

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3 years ago

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