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3 years ago

11

Tiffany is sending a package that may not exceed 16 pounds. the package contains books that weigh a total of 9 3/8 pounds. the o

ther items to be sent weigh 3/5 the weight of the books. Will Tiffany be able to send the package?

1 answer:

babunello [35]3 years ago

5 0

Yes Tiffany will be able to

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Find the value of x.

lawyer [7]

Answer:

$\huge\boxed{x=\sqrt{70}}$

Step-by-step explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:

$\dfrac{AB}{AD}=\dfrac{AC}{AB}$

Substitute:

$AB=x\\AC=7+3=10\\AD=7$

$\dfrac{x}{7}=\dfrac{10}{x}$ <em>cross multiply</em>

$(x)(x)=(7)(10)\\\\x^2=70\to x=\sqrt{70}$

4 0

3 years ago

Simplify and express the result in power notation with positive exponent

Molodets [167]

Answer:

3²

Step-by-step explanation:

Given expression:

$\sf (3^{-3} \div 3^{-10}) \times 3^{-5}$

Following the <u>order of operations</u>, carry out the calculations inside the parentheses first.

$\textsf{Apply the quotient exponent rule} \quad a^b \div a^c=a^{b-c}:$

$\implies \sf 3^{-3-(-10)} \times 3^{-5}$

$\implies \sf 3^{-3+10} \times 3^{-5}$

$\implies \sf 3^{7} \times 3^{-5}$

$\textsf{Apply the product exponent rule} \quad a^b \times a^c=a^{b+c}:$

$\sf \implies 3^{7+(-5)}$

$\sf \implies 3^{7-5}$

$\sf \implies 3^2$

Learn more about exponent rules here:

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4 0

2 years ago

Read 2 more answers

Please help me ill mark brainliest

Ivanshal [37]

Answer:

its C and 4.7x10 -5 was right

Step-by-step explanation:

6 0

3 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST !!

kiruha [24]

Answer:the first one opn and qps

Step-by-step explanation:

8 0

2 years ago

You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

3 0

3 years ago