Please help and show all work.

A model is 4.2 feet tall, the plywood used to make the model is 0.6 inch thick. How many sheets of plywood to make the model?

nadya68 [22]

Answer=84 sheets

4.2feet
1 foot=12 inches

4.2*12=<span>50.4inches

50.4/0.6=</span><span>84 sheets</span>

4 0

3 years ago

at a parade, 1/4 of the participants have red hair, 1/6 of them have brown hair and the rest of them have black hair. which frac

netineya [11]

$\frac{1}{1}-\ all\ participants\\\\
\frac{1}{4}-\ participants\ with\ red\ hair\\\\ \frac{1}{6}-\ participants\ with\ brown\ hair\\\\
participants\ ith\ black\ hair=1-\frac{1}{4}-\frac{1}{6}\ \ \ | mu;tiply\ by\ 12\\\\
12participants\ ith\ black\ hair=12-3-2\\\\
12participants\ ith\ black\ hair=7\ \ \ \ | divide\ by\ 12\\\\
participants\ ith\ black\ hair=\frac{7}{12}$

6 0

3 years ago

A juice shop uses 1/2 of a bag of oranges to make 5 glasses of orange juice. What fraction of a bag of oranges did the shop use

pashok25 [27]

Answer: 0.1 OR 1/10

Step-by-step explanation:

Think about it: There's 1/2 bag of oranges, and you wanna know what number of oranges used in the juice. Take 1/2, and divided it by 5. You get 0.1, then you should turn it into a fraction, giving you 1/10.

6 0

3 years ago

Rewrite the equation in slope-intercept form. Then identify the slope and the y intercept of the line

MrRa [10]

4x = 1 - y ____eqn I

6 0

2 years ago

Read 2 more answers

The quadratic function g(x) = a.ca + bx+c has the

Mumz [18]

<em>The value of b is 14 and the value of c is 65</em>

<h2>Explanation:</h2>

The quadratic function is a function of the form:

$f(x)=ax^2+bx+c$

Here we know that the leading coefficient $a=1$ so we reduce our equation to:

$g(x)=x^2+bx+c$

The roots are those values at which $g(x)=0$

So:

$x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\ 49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\$

$Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\ 49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0$

So we have:

$(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}$

Finding c from (1):

$33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

5 0

3 years ago