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3 years ago

Darius created a factor tree and wrote the prime factorization of 60 shown here.

Mathematics

1 answer:

UkoKoshka [18]3 years ago

6 0

Answer: he needs to finish factoring the 4s.

Step-by-step explanation:

4x15 is 60, so that is right, 3x5 is 15, so that’s is right, 2x2 is 4, so that is right, but he didn’t finish factoring. 1x1 is 2, so he should have 1 and 1 coming from each 2 on the tree. Hope this helps.

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Find m∠USW if m∠USW = 7x - 34 and m∠TSR = 4x + 9.

nikitadnepr [17]

In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .

First we have to find the relationship between those two angles .

And these angles are vertical opposite angles which are congruent .

Therefore

$m \angle USW = m \angle TSR$

$7x-34 = 4x+9
\\
3x = 43
\\
x = 14.33$

Therefore measurement of angle USW is

$=7(14.33)-34 =66.31 degree$

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3 years ago

For each value of x, determine whether it is a solution to x> 8.<br> Is it a solution?

Anni [7]

Answer:

what are the values of X?

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2 years ago

A student has 10 coins in her pocket that have a value of $0.85. The coins are either

il63 [147K]

Answer:

$\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.$

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of nickels in the student's pocket

y = number of dimes in the student's pocket

Each nickel has a value of $0.05, so x nickels have a value of 0.05x

Each dime has a value of $0.10, so y dimes have a value of 0.10y

The student has a total of 10 coins, thus:

$x+y=10$

The total value of the coins is $0.85, thus

$0.05x+0.10y=0.85$

The system of linear equations that represents this scenario is:

$\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.$

5 0

2 years ago

Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items,

melamori03 [73]

Answer:

Stefanie bought 10 erasers

Step-by-step explanation:

We can establish the following equation:

TP = NP*PP + NE*EP

Where:

TP = Total price; (4.25)

NP = Number of pencil packages; (1)

PP = Pencil Package's Price; (1.75)

NE = Number of erasers; (What we are looking for)

EP = Erasers Price; (0.25);

Then:

4.25 = 1*1.75 + NE*0.25;

4.25 - 1.75 = NE*0.25;

2.5/0.25 = NE;

10 = NE.

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3 years ago

Solve the equation. ( − 6 ) ( − 2 ) ( − 1 ) =

Drupady [299]

Answer:

-12

Step-by-step explanation:

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2 years ago

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