MATHEMATICS HIGH SCHOOL

7. Numericals(a) A box has length 50 cm, breadth 20 cm and height 10 cm, then find
(i) its surface area of base;
(ii) its volume
(1000 cm², 100000 cm3)​

Answers

Answer 1
Answer:

Answer:

i = 1000cm2

ii = 100000cm3

Step-by-step explanation:

for q i

surface area of base = l* b

= 50* 20

1000cm^2

for q 2

volume l*b*h

= 50*20*10

= 100000cm^3

hope it will be helpfull

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In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?A. 90
B. 110
C. 130
D. 180​

Answers

Using matrices to solve, the number of calories that are in 1 serving of milk is; 110 Calories

How to solve Linear Programming problems?

Let the calories in one serving of milk be x

Let the calories in one serving of juice be y

Let the calories in one serving of soda be z

Thus, for Joe, equation to show amount of calories is;;

2x + y + z = 530    -----(1)

For Darius, equation to show amount of calories is; ;

x + 2y = 370     ------(2)

For Marian, equation to show amount of calories is;

3x + z = 510    ------(3)

Using matrix calculator online to calculate this 3 equations, we have;

x = 110 calories.

Read more about Linear Programming at; brainly.com/question/23414950

#SPJ2

Answer:

the answer is B on ed2020

Step-by-step explanation:

for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.

so you have soda = 180 cal and juice = 130 cal

if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct

Which letter represents the opposite of 1/4 on the number line below

Answers

The opposite of 1/4 is -1/4 which is represented by "L" on the number line.

What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?The axis of symmetry is x =

Answers

f ( x ) =  - ( x + 9 ) ( x - 21 ) =
= - ( x² - 21 x + 9 x - 189 ) =
= - x² + 21 x - 9 x + 189 =
= - x² + 12 x + 189
This is a quadratic function and its axis of symmetry is:
x = - b / 2a,  where: a = - 1 and b = 12
x = - 12 / 2·(-1) = - 12 / (- 2) = 6
Answer: x = 6

The axis of symmetry is x = 6

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = (-b)/(2a) } }

Given:

f(x) = - (x + 9)(x - 21)

f(x) = - (x^2 - 21x + 9x - 189)

f(x) = - (x^2 - 12x - 189)

f(x) = -x^2 + 12x + 189

The axis of symmetry is

x = (-b)/(2a)

x = (-12)/(2(-1))

x = (-12)/(-2)

\large {\boxed {x = 6} }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number , Axis , Symmetry , Function

Amelia takes her two cats sparkle and twinkle to the vet the vet says that sparkle is 464 mm long and twinkle is 46 cm long which of Amelia's cats is longer EXPLAIN

Answers

Sparkle is longer because 464 as cm is 46.4, consequently longer thatn 46 cm.

Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?

Answers

Answer:

Note. There is a mismatch between the graph and the equation

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

  • As per the graph, 6 ft is reached at 4 seconds
  • The graphed line is f = 1.5s

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

If we go by the equation, then:

  • f = 2.25s
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  • s = 6/.2,25
  • s = 2.67 seconds

Choose the property that justifies the outcomes.5(8+3)=5*8+5*3

4x+(5x+3)=9x+3

a+b=b+a

Multiplicative Inverses
Additive Inverses
Commutative property of Addition
Distributive Property
Associative Property of Addition

Answers

We must look at each equation and pick out which property matches with the choices

For the equation:
5(8+3)=5*8+5*3
The property is
Distributive Property

For the equation:
4x+(5x+3)=9x+3
The property is
Commutative property of Addition

For the equation:
a+b=b+a
The property is
Associative Property of Addition
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