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2 years ago

13x - 23 - 45 = 7x + 12

Mathematics

2 answers:

DochEvi [55]2 years ago

6 0

Answer:

x=40/3

Step-by-step explanation:

HACTEHA [7]2 years ago

5 0

Answer:

x = 40/3

Step-by-step explanation:

Hey! Hope this helps! :)

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At Yo-Yo Yogurt, the scale says that Sara has 8 ounces of vanilla yogurt in her cup. Her father’s yogurt weighs 11 ounces. How m

saveliy_v [14]

Answer: $1 \frac{3}{16}\ lb$

Step-by-step explanation:

You know that Sara has 8 ounces of vanilla yogurt in her cup and her father’s yogurt weighs 11 ounces. Then, the total ounces of frozen yogurt they buy altogether is:

$total_{(ounces)}=8\ oz+11\ oz\\\\total_{(ounces)}=19\ oz$

The next step is to make the conversion from ounces to pounds.

You need to remember that:

$1\ lb=16\ oz$

Therefore:

$total_{(pounds)}=(19\ oz)(\frac{1\ lb}{16\ oz})=\frac{19}{16}\ lb$

This result expressed as a mixed number, is:

$total_{(pounds)}=1\frac{3}{16}\ lb$

8 0

3 years ago

she has 6 cherry candies, 3 grape candies, and 3 lime candies. If Charlotte randomly pulls one piece of candy out of the bag, wh

yKpoI14uk [10]

Answer: $\dfrac{1}{2}$

Step-by-step explanation:

We know that probability for any event = $\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$

Given : Charlotte has 6 cherry candies, 3 grape candies, and 3 lime candies.

I..e Total pieces of candies she has = 6+3+3= 12

Now , If Charlotte randomly pulls one piece of candy out of the bag, what is the probability that it will be cherry is given by :-

$\text{P(cherry)}=\dfrac{\text{Number of cherries}}{\text{Total candies}}\\\\=\dfrac{6}{12}\\\\=\dfrac{1}{2}$

Hence, the probability that it will be cherry is $\dfrac{1}{2}$ .

7 0

3 years ago

Find the equation of the line that is perpendicular to 3y-x=7 and passes through the point (2,-1

boyakko [2]

Hello
an equation for the line in point-slope form and general form is :
y = ax+b a : slope ; the Passing through (x' ; y')
y' = ax'+b
y-y' =a(x-x') and : x' =2 y' = - 1
calculate a :
let : y = ax+b .....(D)
....3y-x=7....(D') or y = (1/3)x+7/3
.(D) perpendicular to(D') : slope (D) × slope (D') = -1

slope (D') = 1/3
slop(D)×(1/3) = -1
slope (D) = -3
equation for the line : y-y' =a(x-x')
y+1 =(-3) (x-2)

7 0

3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

yawa3891 [41]

--------------------------------------------------------
Equation Given
--------------------------------------------------------
x² + 2x = 17

--------------------------------------------------------
Add the constant to make it perfect square
--------------------------------------------------------
x² + 2x + (2/2)² - ²(2/2)² = 17

--------------------------------------------------------
Evaluate the brackets
--------------------------------------------------------
x² + 2x + (1)² - ²(1)² = 17

--------------------------------------------------------
Form the perfect square
--------------------------------------------------------
(x + 1)² - 1 = 17

--------------------------------------------------------
Add 1 to both sides
--------------------------------------------------------
(x + 1)² = 17 + 1
(x + 1)² = 18

--------------------------------------------------------
Square root both sides
--------------------------------------------------------
√(x + 1)² = $\pm$ √18

--------------------------------------------------------
Solve for x
--------------------------------------------------------
x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

--------------------------------------------------------
Answer: x = x = 3.24 or - 5.24
--------------------------------------------------------

7 0

3 years ago

Two trains 100 km apart are traveling toward each other along the same track. The first train goes 50 km per hour; the second tr

dem82 [27]

Answer:

92.31 km

Step-by-step explanation:

Combined speed = 50+80

= 130 km/hour

Time = 100/130 = 10/13 hours to collide

Speed × time = distance

distance = 10/13 × 120

= 92.30769231 km

7 0

3 years ago