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3 years ago

What is the solution to this equation 8 minus 7a equals negative 6a plus 9

Mathematics

2 answers:

prisoha [69]3 years ago

8 0

<span>8 minus 7a equals negative 6a plus 9:

8 -7a = -6a + 9

</span> -7a + 6a = 9 - 8
-a = 1
a = -1

densk [106]3 years ago

7 0

8 - 7a = - 6a + 9
a = - 1

i am a mathematics teacher. if anything to ask please pm me

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1. Identify your variables using let statements.

Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

x = number of chicken dish and
y = number of lobster dish

<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570 (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570 (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570 (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570 (1)

40(250 - y) + 70y = 13570 (1)

10000 - 40y + 70y = 13570

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

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7 0

2 years ago

A circle is shown. Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W.

Marat540 [252]

<u>Given</u>:

Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.

The length of TU is (y - 2).

The length of UV is 8.

The length of SW is (y + 4)

The length of WV is 6.

We need to determine the length of line segment SV.

<u>Value of y:</u>

The value of y can be determined using the intersecting secant theorem.

Applying, the theorem, we get;

$WV \times SV=UV \times TV$

Substituting the values, we have;

$6 \times (y+4+6)=8 \times (y-2+8)$

$6 \times (y+10)=8 \times (y+6)$

$6y+60=8y+48$

$-2y+60=48$

$-2y=-12$

$y=6$

Thus, the value of y is 6.

<u>Length of SV:</u>

The length of SV is given by

$SV=SW+WV$

$SV=y+4+6$

$SV=6+4+6$

$SV=16$

Thus, the length of SV is 16 units.

Hence, Option D is the correct answer.

7 0

3 years ago

Read 2 more answers

The midpoint of the segment joining points (cd) and (m,n) is

lana [24]

yxhfufugugufye6e633648tudydyjeyetshxhchxhd

Step-by-step explanation:

yxhfufugugufye6e633648tudydyje

6 0

3 years ago

Statements

vazorg [7]

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

$CBD = ABD$

and

$CBD + ABD = 90$

Substitute CBD for ABD in $CBD + ABD = 90$

$CBD + CBD = 90$

$2CBD = 90$

Divide both sides by 2

$\frac{2CBD}{2} = \frac{90}{2}$

$CBD = \frac{90}{2}$

$CBD = 45$

Hence, it is proved that $CBD = 45$

<em>Follow the above explanation and use it to answer your question properly</em>

6 0

3 years ago

If you place $1,000.00 in a savings account with an interest rate of 5.25%/month, how much should you earn in interest at the en

Doss [256]

It's al little over 190. you just divide the 1000 by the 5.25%.

4 0

3 years ago