All categories

2 years ago

THERE IS MORE THAN ONE ANSWER THEIR IS UP TO 3 ANSWERS

Mathematics

1 answer:

kvv77 [185]2 years ago

6 0

Answer:

-4.01, -4, -7

Step-by-step explanation:

equation:

-x + 6 ≥ 10

substitute each number for x

- (-3.9) + 6 ≥ 10 = (negatives cancel each other out) 3.9 + 6 = 9.9 ≥ 10 (incorrect)

-4 + 6 ≥ 10 = 2 ≥ 10 (incorrect)

- (-4.01) + 6 ≥ 10 = (negatives cancel each other out) 10.01 ≥ 10 (correct)

- (-4) + 6 ≥ 10 = (negatives cancel each other out) 10 ≥ 10 (correct)

-4.01 + 6 ≥ = 1.99 ≥ 10 (incorrect)

-3.9 + 6 ≥ 10 = 2.1 ≥ 10 (incorrect)

-0 + 6 ≥ 10 = 6 ≥ 10 (incorrect)

- (-7) + 6 ≥ 10 = (negatives cancel each other out) 11 ≥ 10 (correct)

You might be interested in

Suppose temperatures and monthly ice cream sales were measured for 100 randomly selectd cities. Which variable is the explanator

34kurt

Temp is explanatory and ice cream sales is the response

6 0

2 years ago

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

Tema [17]

Answer:

2 $\frac{1}{16}$

Step-by-step explanation:

The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is 1/6 of n = 1/6 × n = $\frac{n}{6}$

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n = $\frac{5n}{2}$

So the question says that, when we add; $\frac{n}{6}$ , $\frac{5n}{2}$ and 7 all together, the value is 12 1/2

That is;

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = 12 1/2

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = $\frac{25}{2}$ ( changing 12 1/2 to improper fraction will give $\frac{25}{2}$ )

So we can now go ahead and solve for n

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = $\frac{25}{2}$

subtract 7 from both-side of the equation

$\frac{n}{6}$ + $\frac{5n}{2}$ = $\frac{25}{2}$ - 7

$\frac{n + 15n}{6}$ = $\frac{25 -14}{2}$

$\frac{16n}{6}$ = $\frac{11}{2}$

$\frac{16n}{6}$ can be reduced to give us $\frac{8n}{3}$

$\frac{8n}{3}$ = $\frac{11}{2}$

Cross multiply

8n × 2 = 11× 3

16n = 33

Divide both-side of the equation by 16

$\frac{16n}{16}$ = $\frac{33}{16}$

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)

n = $\frac{33}{16}$ = $2\frac{1}{16}$

Therefore the number is $2\frac{1}{16}$

5 0

2 years ago

If dB=4 and dc=6 find ad

Neporo4naja [7]

See the attached figure
DB = 4 and DC = 6 , We need to find AD

Using Euclid's theorem for the right triangle

∴ DB² = AD * DC

∴ 4² = AD * 6

∴ 6 AD = 16


∴ AD = 16/6 = 8/3 ≈ 2.67

7 0

2 years ago

Read 2 more answers

Find the fifth term of the binomial expansion. (x2+y5) ^8

OlgaM077 [116]

Answer:

The fifth term of the binomial expansion

$T_{5} = 70 x^{8} y^{20}$

Step-by-step explanation:

Step:1

Given that the binomial expansion

( x² + y⁵ )⁸

we know that

$T_{r+1} = n_{C_{r} } a^{r} x^{n-r}$ ...(i)

Step:2

put r = 4

$T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}$

$T_{5} = 70 x^{8} y^{20}$

Final answer:-

The fifth term of the binomial expansion

$T_{5} = 70 x^{8} y^{20}$

6 0

2 years ago

Does anyone know the slope of this table?

ArbitrLikvidat [17]

Answer: the slope is 2/1 or 2

Step-by-step explanation: slope is written rise over run, meaning y/x. By finding the difference between 13/5 and 17/7, then 17/7 and 21/9 to confirm, you can see that the difference is 4/2, which reduces to 2/1, which is simplified to 2.

6 0

2 years ago