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3 years ago

Find the measure of angle A. 13

Mathematics

2 answers:

kodGreya [7K]3 years ago

5 0

Be in more depth to understand

Rom4ik [11]3 years ago

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Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be

Slav-nsk [51]

Answer:

E=5S+2P
P=0.5(E-5S)

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|$

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

E=5S+2P

Next, we make P the subject of the equation above.

2P=E-5S

$P=\dfrac{E-5S}{2} \\P=0.5(E-5S)$

Therefore, The quantity of pizza he buys can be represented by the equation:

P=0.5(E-5S)

When E=$40, we are required to complete the table below.

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|$

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|$

4 0

4 years ago

A sequence is defined as t1=1 and

shusha [124]

The recursive rule tells you that

$t_2=t_1+3$

$t_3=t_2+3=(t_1+3)+3=t_1+2\cdot3$

$t_4=t_3+3=(t_1+2\cdot3)+3=t_1+3\cdot3$

and so on, with the general rule

$t_n=t_1+(n-1)\cdot3$

Then with $t_1=1$ , you have

$t_n=1+3(n-1)\implies\boxed{t_n=3n-2}$

3 0

3 years ago

1. Which are true of x = log10 31,500? Select all that apply.

ziro4ka [17]

Given:

$x=\log_{10}31,500$

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

$x=\log_{10}31,500$

It can be written as

$x=\log_{10}(2^23^25^37)$

$x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)$ $[\because \log(ab)=\log a+\log b]$

$x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)$

$x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451$

$x=4.49835$

Clearly, the value of x lies between 4 and 5. So, $x>4$ and $x$ .

Therefore, the correct options are C and D.

4 0

3 years ago

Riley is also making boxes to hold baseballs. She wants the dimensions of her boxes

Sergio039 [100]

The volume of the box is 105 cubic units.

<h3>What is volume of cuboid ?</h3>

The amount of space inside a cuboid is calculated using the term "cuboid volume." Having length, breadth, and height, the cuboid is a three-dimensional shape. A shape with a certain length, breadth, and height will be obtained if we start with a rectangular sheet and keep stacking them. Length x Width x Height is the formula for calculating the cuboid's volume.

Given that : The dimensions of her boxes to be 4 x 6 x 3 units.

The volume of cuboid=7×5×3=105 cubic units.

so ,The volume of the box is 105 cubic units.

To learn more about the volume of the cuboid visit:

brainly.com/question/23118276.

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4 0

1 year ago

N old building has been demolished, and there are tons of debris to haul away. Each pickup load can hold a ton of debris. As man

GaryK [48]

Answer:

The question is incomplete...

Step-by-step explanation:

5 0

3 years ago