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3 years ago

Tiles

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

Answer:

1. 5x -2

2. 5x + 2

3. -5x -2

4. -5x + 2

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Solve the system of equations using substitution<br> 4x + 2y = 16<br> =−12+5

mario62 [17]

Answer:

$x=\frac{70}{11},\:y=\frac{20}{11}$

Step-by-step explanation:

$\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}$

$\mathrm{Substitute\:}y=-\frac{1}{2}x+5$

$\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

$Simplify$

$\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

Isolate x for 3x+10=16(-1/2x+5): $x=\frac{70}{11}$

$\mathrm{For\:}y=-\frac{1}{2}x+5$

$\mathrm{Substitute\:}x=\frac{70}{11}$

$y=-\frac{1}{2}\cdot \frac{70}{11}+5$

$-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}$

$y=\frac{20}{11}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=\frac{70}{11},\:y=\frac{20}{11}$

3 0

3 years ago

1. Explain how measurements taken by standard rulers and scales are limited,

Stolb23 [73]

Answer:

Please find the answer in the explanation

Step-by-step explanation:

RULER

measurements taken by ruler can be limited due to absolute errors, zero error and uncertainties.

1.) If the end of the ruler is worn out giving rise to a zero error

2.) The calibration of the ruler may give rise to another systematic error if the makings are incorrect.

3.) If the object to be measured is not on the same level as graduated surface of the ruler, the angle at which the scale is viewed will affect the result. This is known as parallax error.

SCALE

Systematic error can occur in a scale when the scale is wrongly calibrated.

Also, reading a scale from different angles introduces a variable parallax error.

random uncertainty could be a parallax error caused by taking readings from different angles. This can be reduced by the use of a mirror behind the scale and viewing normally.

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4 years ago

What is the unit rate of $2.50 for 10 pens?

Nimfa-mama [501]

Answer:

0.25 or 1/4

Step-by-step explanation:

2.50/10

8 0

3 years ago

mary bought two packs of ribbons. the small pack has 15 ribbons. the large pack has 60 ribbons. which equation can mary use to f

maw [93]