MATHEMATICS HIGH SCHOOL

Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference of the two grades is 16. The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below. x – y = 161/8x + 1/2y = 52

What is the higher grade of Jose’s two tests?

48
52
80
96

Answers

Answer 1

Answer:

Answer : 96

x – y = 16 --------> equation 1

$(1)/(8) x +(1)/(2) y = 52$

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

$(1)/(8) x +(1)/(2) ( -16 + x ) = 52$

$(1)/(8) x - 8 + (1)/(2) x = 52$

$(1)/(8) x + (1)/(2) x - 8 = 52$

Take common denominator to combine fractions

$(1)/(8) x + (4)/(8) x -8 = 52$

$(5)/(8) x - 8 = 52$

Add 8 on both sides

$(5)/(8) x = 60$

Multiply both sides by $(8)/(5)$

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

Answer 2

Answer: The answer you get is (96,80). 96 is greater.

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Cassie is a half pound of sugar in her cabinet her cake recipe calls for two tenths of a pound of sugar how many cakes can she make

Answers

The information's given in the question should be very minutely checked. Based on those given information's the answer to the question can easily be deduced.
Amount of sugar in the cabinet of Cassie = 1/2 pound
Amount of sugar required by Cassie to make her cake recipe = 2/10 pound
   = 1/5 pounds
Then
The number of cakes that Cassie can make = (1/2)/(1/5)
      = 5/2
      = 2 1/2
So from the above deduction we can easily conclude that Cassie can make a total of 2 cakes with the sugar she has and there will still be some sugar left.

Answer:2cakes

I Hope that helps and if it's wrong I'm sorry

Dena's softball team can win (W) or lose (L) each game. Which of the following are elements in the sample space for 2 softball games?

Answers

In a softball game, the odds are only win or lose the game. When 2 games are already being considered, the elements in the sample space are already 2 in each set. The sets are {W,W}, {W,L}, {L,W} and {L,L}. Hence, there are 4 sets all in all to describe the odds of the two games.

362. Найдите корень уравнения:-
1) 0,4x (5x – 6) + 7,2 = 2x (x + 0,6);
2) x (3x+2)-9 (x²-7x)=6x (10-x);
3) 12 (x³ - 2) -7x (x² − 1) = 5x³ +2x+6.

Answers

Answer:

Давайте рассмотрим каждое уравнение по очереди:

Уравнение: 0.4x(5x - 6) + 7.2 = 2x(x + 0.6)0.4x(5x−6)+7.2=2x(x+0.6)

Раскроем скобки:

2x^2 - 2.4x + 7.2 = 2x^2 + 1.2x2x

−2.4x+7.2=2x

+1.2x

Теперь выразим все в одну часть уравнения:

-2.4x + 7.2 = 1.2x−2.4x+7.2=1.2x

3.6x = 7.23.6x=7.2

x = 2x=2

Уравнение: x(3x+2) - 9(x^2 - 7x) = 6x(10 - x)x(3x+2)−9(x

−7x)=6x(10−x)

Раскроем скобки:

3x^2 + 2x - 9x^2 + 63x = 60x - 6x^23x

+2x−9x

+63x=60x−6x

Теперь выразим все в одну часть уравнения:

3x^2 - 9x^2 + 2x - 63x - 60x + 6x^2 = 03x

−9x

+2x−63x−60x+6x

-3x^2 - 59x = 0−3x

−59x=0

x(-3x - 59) = 0x(−3x−59)=0

Отсюда получаем два возможных значения xx: x = 0x=0 или x = -\frac{59}{3}x=−

Уравнение: 12(x^3 - 2) - 7x(x^2 - 1) = 5x^3 + 2x + 612(x

−2)−7x(x

−1)=5x

+2x+6

Раскроем скобки:

12x^3 - 24 - 7x^3 + 7x = 5x^3 + 2x + 612x

−24−7x

+7x=5x

+2x+6

Теперь выразим все в одну часть уравнения:

5x^3 - 2x^3 + 7x - 2x - 24 - 6 = 05x

−2x

+7x−2x−24−6=0

3x^3 + 5x - 30 = 03x

+5x−30=0

Это уравнение не имеет очевидного решения, поэтому придется использовать численные методы для его решения.

The slope of the line whose equation is 5 x - 3 y = 4 is
5/3
4/5
-3/5

Answers

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have:

$5x-3y=4\qquad|\text{subtract 5x from both sides}\n\n-3y=-5x+4\qquad|\text{divide both sides by (-3)}\n\ny=(5)/(3)x-(4)/(3)$

Answer: 5/3

In her first basketball game, Taneshia makes 8 out of 14 free throws. in her second basketball game taneshia makes 6 out of 10 free throws. In which game did she have a better free throw percentage?

Answers

Answer:

she did better in the second game

Step-by-step explanation:

first game: 8/14 = .571428571 =57% made

second game 6/10 = .6 = 60 % made

she did better in the second game

Y=−x−1 the point (0, −1)lies on the graph of the equation. the graph of the equation is the set of points that are solutions to the equation. the point (1, −2) lies on the graph of the equation. a coordinate pair on the graph of the equation is a solution to the equation. the equation y x=1 has the same graph.

Answers

For point (1, -2): -2 = -1 - 1 = -2. Therefore, point (1, -2) lies on the graph of the equation.

The graph of the equation is the set of points that are solutions to the equation.

A coordinate pair on the graph of the equation is a solution to the equation.

For the point (0, -1): -1 = -(0) - 1 = 0 - 1 = -1.
Therefore, The point ( 0, −1 ) lies on the graph of the equation.

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