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Karo-lina-s [1.5K]
3 years ago
13

45 less than twice Jose’s savings. Use the variable J to represent Jose’s savings

Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0
The answer is
(J•2)-45=
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Jessica drew a circle divided into 8 equal parts she shaded six of the parts what fraction is equivalent to the part of the circ
Anni [7]

Answer:

3/4

Step-by-step explanation:

Jessica shaded 6/8 of the circle. That fraction can be reduced by removing a factor of 2 from numerator and denominator. The reduced fraction is 3/4.

\dfrac{6}{8}=\dfrac{2\cdot 3}{2\cdot 4}=\dfrac{2}{2}\cdot\dfrac{3}{4}=1\cdot\dfrac{3}{4}\\\\=\dfrac{3}{4}

3 0
3 years ago
Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.
Mice21 [21]

Answer:

<em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

Step-by-step explanation:

Making factors of 8y^{6}+ 144y^{5}+ 640y^{4}

Taking 8y^{4} common:

\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)

Using <em>factorization</em> method:

\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times  4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)

Now, Making factors of 2y^{4} + 40y^{3} + 200y^{2}

Taking 2y^{2} common:

\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)

Using <em>factorization</em> method:

\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10)        ............ (2)

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

5 0
2 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
2 years ago
a parking garage charges $2.50 base free plus an hourly rate of $4.00. If you hve most $12.50 how many parking you can​
snow_lady [41]

Answer: 2.5 hours or 2 hr and 30 min

Step-by-step explanation:

We can set up an equation to find how many hours you can park.

2.5+4x=12.5

The 2.5 comes from the base fee. The 4x is the hourly rate, where x is hours. The 12.5 is the total amount of money you have.

Since we have our equation, we can solve for x.

4x=10

x=2.5

You can park for 2.5 hours, or 2 hours and 30 min.

7 0
3 years ago
A student earned grades of​ C, A,​ B, and A. Those courses had these corresponding numbers of credit​ hours: 44​, 66​, 11​, and
asambeis [7]

Answer:

The grade point average of the student is 49.92.

Step-by-step explanation:

A student earned grades :​ C, A,​ B, and A

Corresponding numbers of credit​ hours : 44​, 66​, 11​, and 66

Assigns quality points to letter grades :

A = 4 , B = 3 , C = 2 , D = 1 , F = 0

The grade point average​ (GPA):

\frac{\sum (\text{grade point}\times \text{credit hours})}{\sum (\text{grade point})}

=\frac{2\times 44+4\times 66+3\times 11+4\times 66}{2+4+3+4}

=\frac{649}{13}=49.9230\approx 49.92

The grade point average of the student is 49.92.

4 0
3 years ago
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