MATHEMATICS HIGH SCHOOL

What is -23-(-6)+11-4 equal

Answers

Answer 1

Answer:

Answer:

-10

Step-by-step explanation:

Using PEMDAS, you can solve:

-23 - (-6) + 11 - 4

-23 + 6 + 11 - 4

-17 + 11 - 4

- 6 - 4

-10

Answer 2

Answer:

Answer:

-10

Step-by-step explanation:

$-23+6+11-4$

$-17+11-4$

$-6-4$

$-10\n$

Hope this helps, have a great day:)

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Determine which binomial is not a factor of 4x^4 - 21x^3 - 46x^2 +219x + 180a. x+4
b. 4x+3
c. x-5
d. x+3

Answers

4x^4 -21x^3 -46x^2 + 219x+180

Factor

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

Answer : A .

x+4 is not a factor of 4x^4-21x^3-46x^2+219x+180

A submarine descends 45 meters on its first dive. It then descends another 40 meters. What integer represents the total descent in meters for the two dives?

Answers

Answer:

85 meters in total

Step-by-step explanation:

The submarine first descended 45 meters and then 40 meters

45+40=85

Find 3 consecutive numbers where the product of the smaller two numbers in 19 less than the square of the largest number?

Answers

Answer is 5, 6, & 7

x = smallest number
y = x + 1
z = x + 2

(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19

x^2 term drops out from both sides

x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7

Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30 [OK]

A fish tank is a cube. Its side length is 4 1/2 feet. The volume of water needed to completely fill the fish tank is ___ cubic feet.

Answers

The equation for the volume of a cube is V=s^3, where V is volume and s is side length. Plug in and solve:

V=4.5^3

V=4.5*4.5*4.5

V=91.125ft^3

Hope this helps!!

A customer buys five cans of baked beans, four pocket of brown sugar and two pockets from the supermarket. He gives the cashier 150 and gets 26 in change, a can of baked beans costs half as much as pocket of biscuits whilst a packet of sugar is three rand cheaper than a packet of biscuits.1. how much did all items cost
2. calculate the cost of a can of baked beans, sugar, and biscuits
3. How much will eight cans of baked beans, one packet of sugar and six pockets of biscuits cost?

Answers

The question has 3 unknowns thus we need three equations to fully solve the problem.
We let x = the price of a can of baked beans, y = the price of a packet of sugar and z = the price of a packet of biscuit
From the given, we generate the following equations;
<1> 5x+4y+2z = Amount spent = 150-26 = 124
<2> z = 2x
<3> y = z -3
We use equation 2 and 3 to substitute to equation 1 in order to obtain the value of x.
5x + 4 (2x - 3) + 2(2x) = 124
5x + 8x - 12 + 4x = 124
17x = 136
x = 8 (price of a can of baked beans)
y= (2 x 8) - 3 = 13 (price of a packet of sugar)
z= 2 x 8 = 16 (price of a pocket of biscuit)

For the new set of conditions,
8x + y + 6z = (8 x 8) + 13 +(6 x 16) = 173 (Cost for the new set of conditions)

let's make b the can of baked beans.

Then biscuits are twice its prize, 2b.

s, the packet of sugar is 2b-3 - thre rand cheaper than a packet of biscuits.

1) the custommer bought:
buys five cans of baked beans, four pocket of brown sugar and two pockets

5b+4* (2b-3)+2*2b

now we calculate:

5b+4* (2b-3)+2*2b=5b+8b-12+4b=13b-12+4b=17b-12

this is equal to 150-26=124

so 17b-12=124
17b=136
b=8
So the beans cost 8, biscuits cost 8*2=16, and sugar 16-3=13
2) this would be:
8+13+16=21+16=37
3)This would be:

8*8+13+6*16=64+13+96=173

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?x^2 + x = 42
x^2 + 2x = 42
x^2 + x + 42 = 0
x^2 + 2x + 42 = 0

Answers

Answer:

The correct answer is x^2 + x = 42.

Step-by-step explanation:

First, we need to declare the unknown, as usual we will use x for the number. Then, the square of the number will be x^2. Following the order of the statement we have that x + x^2 =42. Here we have ‘‘translated’’ the term the sum in the mathematical operation of addition. Moreover, we convert the fact that the sum of a number and its square is 42 in a equality. This is the explanation of the equation x + x^2 =42.

Finally, using that the addition is commutative we have that x^2+x=42.

x^2 + x = 42

sum indicates addition
a number = x
it's square = x^2

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