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2 years ago

Solve the equation: -8(2a-1)=36

Mathematics

2 answers:

SashulF [63]2 years ago

7 0

The solution to the given equation is $\frac{-7}{4}$ .

<h3>What is an expression?</h3>

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context. An expression is a combination of numbers, variables, or a combination of numbers and variables, and symbols and it is connected by the sign of equal.

We have,

Expression -8(2a - 1) = 36

So,

Now,

To get the solution to this expression,

i.e.

-8(2a - 1) = 36

Rewrite it as,

i.e.

Opening Brackets,

We get,

-16a + 8 = 36

Now,

Taking variable terms on one side and other terms on another side,

We get,

-16a = 36 - 8

On solving we get,

-16a = 28

i.e.

a = $\frac{-28}{16} = \frac{-7}{4}$

So,

The solution to the given equation is $\frac{-7}{4}$ .

Hence, we can say that the solution to the given equation is $\frac{-7}{4}$ .

To know more about expression click here

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joja [24]2 years ago

7 0

-8.(2a - 1) = 36

-16a + 8 = 36

-16a = 36 - 8 = 28

a = 28/(-16) = -7/4

The correct answer is -7/4 = -1.75

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Directions attatched

irina1246 [14]

Answer:

x=7
∠GBD=112
∠EFC=112

Step-by-step explanation:

Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.

--------------------------------------------------------------------------

Given

∠GBD=4x+84

∠EFC=16x

m∠GBD=m∠EFC

Solve

4x+84=16x ⇔ Given

4x+84-4x=16x-4x ⇔ Subtract 4x on both sides

84=12x ⇔ Simplify

84/12=12x/12 ⇔ Divide 12 on both sides

x=7 ⇔ Simplify

Substitute the x value into each angle expression

∠GBD=4x+84=4(7)+84=28+84=112

∠EFC=16x=16(7)=112

Hope this helps!! :)

Please let me know if you have any questions

6 0

3 years ago

One less than three times a number is two less than three times the number

AysviL [449]

$3x-1=3x-2\\
-1=-2\\
x\in \emptyset$

7 0

4 years ago

An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an

Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

28 students in the Spanish class,
26 in the French class,
16 in the German class,
12 students that are in both Spanish and French,
4 that are in both Spanish and German,
6 that are in both French and German,
2 students taking all 3 classes.

So,

2 students taking all 3 classes,
6 - 2 = 4 students are in French and German, bu are not in Spanish,
4 - 2 = 2 students are in Spanish and German, but are not in French,
12 - 2 = 10 students are in Spanish and French but are not in German,
16 - 2 - 4 - 2 = 8 students are only in German,
26 - 2 - 4 - 10 = 10 students are only in French,
28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

$\dfrac{50}{100} =0.5$

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

$\dfrac{8+10+14}{100}=0.32$

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

$0.5\cdot 0.5=0.25$

So, the probability that at least 1 is taking a language class is

$1-0.25=0.75$

3 0

4 years ago

A school is planning an event to raise 1000 for charity. The cost of organizing the event is 200. The tickets are priced at 6 pe

alexdok [17]

Answer:

a) 1200

b) 150

Step-by-step explanation:

a) total revenue = target amount + expenses

... total revenue = 1000 + 200

... total revenue = 1200

b) total revenue = adult tickets × adult ticket price

... 1200 = adult tickets × 8 . . . . . . . . . . fill in the information you know

... 1200/8 = adult tickets = 150 . . . . . divide by 8

4 0

3 years ago

Read 2 more answers

Julianna has 32 pieces of candy in a jar. Julianna only has 2 kinds of candy, jolly ranchers and Twix. For every 4 Twix bars, sh

nexus9112 [7]

Answer:

the data set seems wrong, since for every 4twix bars, she had 2 pieces of jolly ranchers; so ratio 4 twix bars : 2 ranchers is to be use but it wouldn't work, it can only work for the first 30 candies ( 20twix bars and 10 ranchers) so the last 2 candies( if following the ratio will be 4/3 for the twix bars and 2/3 for the ranchers)

6 0

3 years ago