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2 years ago

Mrs. Thomas bought 4 gallons of gas. Her total cost was $6.76.

Mathematics

2 answers:

Verdich [7]2 years ago

6 0

Answer:

The cost of 1 gallon is 1.69

Step-by-step explanation:

its 1.69 because if you divide 6.76 by 4 gallons she would end up paying 1.69 for each gallon.

joja [24]2 years ago

3 0

4 gallons × y dollars/gallon=$6.76

4y=6.76

Divide both sides by 4

Y=$1.69

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Mark has 312 books in his bookcases. He has 11 times as many fiction as nonfiction books. How many fiction books does Mark have?

larisa [96]

11x represents the fiction
X represents the nonfiction book

11x+x=312
12x=312
Divide both by 12
X=26

To find the fiction you have to do 11 times 26

11•26=286

To check the answer you add 286 and 26

If it adds up to 312 the answer is correct

6 0

2 years ago

Is algebra.

alexgriva [62]

Answer:

x = -11/7

x = 11/7

Step-by-step explanation:

49x² - 121

Factor

(7x + 11)(7x - 11)

roots

x = -11/7

x = 11/7

8 0

2 years ago

Read 2 more answers

Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

5 0

2 years ago

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse B A is 9.8 inches, the length of C B is 6.3 inch

german

Answer:

$\angle B=\cos^{-1}\left(\dfrac{6.3}{9.8}\right)\\ \\\angle B=\sin^{-1}\left(\dfrac{7.5}{9.8}\right)$

Step-by-step explanation:

Consider right triangle ABC with right angle C.

In this triangle,

BA = 9.8 in
CB = 6.3 in
CA = 7.5 in

Write trigonometric functions:

$\cos \angle B=\dfrac{BC}{AB}=\dfrac{6.3}{9.8}\\ \\\sin \angle B=\dfrac{AC}{AB}=\dfrac{7.5}{9.8}$

Hence,

$\angle B=\cos^{-1}\left(\dfrac{6.3}{9.8}\right)\\ \\\angle B=\sin^{-1}\left(\dfrac{7.5}{9.8}\right)$

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2 years ago

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Which other expression has the same value as (-14) - 8?

Vladimir79 [104]

The answer is -22 because when you subtract -8 from -14 it gives you -22!

5 0

3 years ago