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2 years ago

Use the substitution method to solve the system of equations.

Mathematics

1 answer:

grandymaker [24]2 years ago

5 0

Insert 3x - 7 for y in 15x - 5y = 14
15x - 5(3x - 7) = 14
15x - 15x + 35 = 14
0 = -21
There is no solution.

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Definition of Identity property, Association property and communicative property please answer!

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1 year ago

Are these answers correct?

Nikolay [14]

Answer:

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Step-by-step explanation:

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2 years ago

Grade 6 - End of term assessment

sertanlavr [38]

Answer:

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

Step-by-step explanation:

Given

Total length of one roll of ribbon = 9 feet

As the pieces have to be cut into inches, we will convert the measurement in feet to inches

As there are 12 inches in one feet, 9 feet will be equal to:

9*12 = 108 inches

Now first of all, we have to see how many 15 inches pieces can be cut from one role

So,

$=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2$

So the seamstress can cut 7 15-inch long pieces from a roll.

Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:

$= 5 * 7 =35$

Hence,

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

5 0

2 years ago

In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

2 years ago

The radius of a circle is 6 inches. What is the circle's circumference?<br> Use 3.14 for .

Vikentia [17]

Answer:

37.68 inches

Step-by-step explanation:

The equation for the circumference of the circle is:

$C=2\pi r$

We can substitute 6 in for "r" and 3.14 for "π":

$C=2(3.14)(6\ in)\\C=12\ in(3.14)\\C=37.68\ in^$

4 0

1 year ago