<img src="https://tex.z-dn.net/?f=given%20%5C%3A%20that2%20%5Cleqslant%205%20%5Ctimes%20%20-%208%20%5Cleqslant%20%20%5Ctimes%20%

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2 years ago

20%2B%2014find%20%5C%3A%20all%20%5C%3A%20the%20%5C%3A%20prime%20%5C%3A%20numbers%20%5C%3A%20that%20%5C%3A%20signify%20%5C%3A%20the%20%5C%3A%20inequality" id="TexFormula1" title="given \: that2 \leqslant 5 \times - 8 \leqslant \times + 14find \: all \: the \: prime \: numbers \: that \: signify \: the \: inequality" alt="given \: that2 \leqslant 5 \times - 8 \leqslant \times + 14find \: all \: the \: prime \: numbers \: that \: signify \: the \: inequality" align="absmiddle" class="latex-formula">
find all the prime numbers that Satisfy the inequality.

Mathematics

1 answer:

Ne4ueva [31]2 years ago

6 0

9514 1404 393

Answer:

x = {2, 3, 5}

Step-by-step explanation:

Break the inequality into two parts:

2 ≤ 5x -8

10 ≤ 5x . . . . . add 8

2 ≤ x . . . . . . . divide by 5

<u>right part</u>

5x -8 ≤ x +14

4x ≤ 22 . . . . . add 8-x

x ≤ 5.5 . . . . . divide by 4

The solution space is 2 ≤ x ≤ 5.5. The prime numbers in this range are ...

x = {2, 3, 5}

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If a finance professional recommends that you save 10% of your income each month and Julie spends 30% on rent and 40% on all oth

german

Answer:

The percentage of income she should use on the rest of her expenses=20%

Step-by-step explanation:

Step 1: Determine her total income

Let her total percentage income be =100%

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Savings

percentage expense on savings=10%

b). Rent

percentage expense on rent=30%

c). Fixed expenses

percentage expense on fixed expenses=40%

d). The rest expenses

percentage expense on the rest=x

Step 3: Calculate total percentage income

Total percentage income=percentage on savings expenses+percentage on rent expenses+percentage on fixed expenses+remainder

replacing;

Total expenses=(10+30+40+x)=x+80

Total percentage income=100%

Step 4: Get remaining percentage amount of her income

(100)=(x+80)

x=100-80

x=20

The percentage of income she should use on the rest of her expenses=20%

3 0

3 years ago

Help me please ?????????

exis [7]

The correct answer is: [C]: " $4290.00 " .
_______________________________________
Explanation:
_________________________________________
Given: principal, "P": equals: $14,300 ;
                 rate, "r" : equals: 7.5 % = 7.5 / 100 = 0.075 ;
                time, "t" (in years): equals: 4 ;
_________________________________________
What is the interest, "i" ?
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Note: The formula:  i = P * r * t   .
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So, we plug in our given values for "P", "r", and "t", and solve for "i" (interest).
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i = ($14,300) *(0.075) * (4) ;

i = $1,490 ; which is answer choice: [C]: " $4290.00 " .
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5 0

3 years ago

Katt and sanjeev are collecting money for charity. For every £2 that kat collects, sanjeev collects £3. They collect £255 in tot

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Answer: Kate = £102

Sanjeev = £153

Step-by-step explanation:

From the question, we are informed that for every £2 that kat collects, sanjeev collects £3. This csn be represented in a fraction as:

Kat = 2/5

Sanjeev = 3/5

The amount that each collects will be:

Kat = 2/5 × £255

= 2 × £51

= £102

Sanjeev = 3/5 × £255

= 3 × £51

= £153

6 0

3 years ago

Which of the following are factors of x^2+5x+4

soldier1979 [14.2K]

Answer:

(x + 4) and (x + 1)

Step-by-step explanation:

x² + 5x + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)

The factors are 4 and 1 , since

4 × 1 = 4 and 4 + 1 = 5 , then

x² + 5x + 4 = (x + 4)(x + 1) ← in factored form

3 0

3 years ago

Which is the graph of g(x) = ⌈x + 3⌉?

77julia77 [94]

ANSWER

$\boxed {D}$

EXPLANATION

The given function is,

$g(x) = ⌈x + 3⌉$

The parent function of this ceiling function is

$g(x) = ⌈x ⌉$

When this function is shifted horizontally 3 units to the left, we obtain the transformed function,

$g(x) = ⌈x + 3⌉$

The correct answer is option D.

See attachment.

6 0

4 years ago