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3 years ago

Please help!!

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

Answer:

$450

Step-by-step explanation:

20 goes into 100 five times.

90*5=450

Her paycheck was $450.

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HELP ASAP! I REALLY NEED IT!

Ilia_Sergeevich [38]

Answer:

$46 \frac{7}{8} \: cubic \: feet$

Step-by-step explanation:

$\boxed{volume \: of \: prism = base \: area \: \times height}$

Base area= length ×width

Let's convert all the mixed numbers into improper fraction for easier calculation.

Width

= 7½

$= \frac{7(2)}{2} + \frac{1}{2}$

$= \frac{14}{2} + \frac{1}{2}$

$= \frac{15}{2} ft$

Height

= 1¼

$= \frac{4}{4} + \frac{1}{4}$

$= \frac{5}{4} ft$

Volume of prism

$= 5 \times \frac{15}{2} \times \frac{5}{4}$

$= \frac{375}{8}$

$= 46 \frac{7}{8} \: ft {}^{3}$

4 0

3 years ago

How many centimeters are in 7.2 inches? [1 inch = 2.5 cm]

babymother [125]

Your answer is D 18. The exact answer is 18.288.

4 0

4 years ago

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A scale model of a car is 9 inches long. the scale is 1:18. How many inches long is the car it represents?

Rom4ik [11]

1 inch of the model - 18 inches of the car
9 inches of the model - x inches of the car

$\frac{1}{18}=\frac{9}{x} \\ 
x=9 \times 18 \\
x=162$

The car is 162 inches long.

8 0

3 years ago

Given a sequence is defined by the explicit definition LaTeX: t_n=\:n^2+nt n = n 2 + n, find the 4th term of the sequence. (ie L

Reika [66]

Answer:

$t_{4}=20$

Step-by-step explanation:

Given:

The $n^{th}$ term of the sequence is given as:

$t_{n}=n^{2}+n$

In order to find the fourth term of this sequence, we need to plug in 4 for $n$ in the above expression and solve. This gives,

$t_{4}=4^{2}+4\\t_{4}=16+4=20$

Therefore, the fourth term of the sequence is $t_{4}=20$ .

6 0

3 years ago

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Which is the factorization of 8x2 13x – 6? (8x – 3)(x 2) (x – 6)(8x 1) (2x – 2)(4x 3) (4x – 1)(2x 6)

vagabundo [1.1K]

we have

$8x^2+13x - 6$

Equate the function to zero

$8x^2+13x - 6=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$8x^2+13x = 6$

Factor the leading coefficient

$8(x^2+\frac{13}{8}x) = 6$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$8(x^2+\frac{13}{8}x) = 6$

$8(x^2+\frac{13}{8}x+\frac{169}{256}) = 6 +\frac{169}{32} \\ \\ 8(x+\frac{13}{16} )^{2} =\frac{361}{32} \\ \\ (x+\frac{13}{16} )^{2} =\frac{361}{256}\\ \\ (x+\frac{13}{16} ) =(+/-)\sqrt{\frac{361}{256}} \\ \\ (x+\frac{13}{16} ) =(+/-)\frac{19}{16} \\ \\ x1=-\frac{13}{16} +\frac{19}{16} =\frac{6}{16}\\ \\ x2=-\frac{13}{16} -\frac{19}{16}=-2$

the factorization is equal to

$8*(x-\frac{6}{16} )*(x+2)=(8x-3)*(x+2)$

therefore

<u>the answer is</u>

$(8x-3)*(x+2)$

3 0

3 years ago

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