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iren2701 [21]
4 years ago
8

For $7.52 you purchase 8 pens and highlighters from a local bookstore. Each highlighter costs $1.09 and each pen costs $0.69. Ho

w many pens did you buy?
Mathematics
1 answer:
yaroslaw [1]4 years ago
7 0

Answer:

the answer is that you would purchase 3 pens.

Step-by-step explanation:

if you buy 5 highlighters that would be

1.09 x 5 = 5.45

and then if you buy 3 pens that would be

0.69 x 3 = 2.07

if you add them together you get 7.52 :)

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Rhion wants to add 33 cm toher alredy long 958 cm bedspread. what is the answer
Dahasolnce [82]
991 cm because you add together 958+33= you get 991 cm
6 0
4 years ago
Tyra buys 14 gallons of gas for 35$ how could she figure out how much 1 gallon of gas cost her
Nitella [24]

Answer: 2.50

Step-by-step explanation: you would divide the cost by the amount so 35 divided by 14.

7 0
3 years ago
(x-13.4)^{2}+(y+2.6)^{2} = 100(x−13.4) 2 +(y+2.6) 2 =100left parenthesis, x, minus, 13, point, 4, right parenthesis, squared, pl
vazorg [7]

Answer:

The center of the circle is (13.4, - 2.6).

Step-by-step explanation:

Circle:

  • The diameter of a circle is 2 times of its radius.
  • The area of a circle is \pi r^2, where is the radius of the circle.
  • The circumference of a circle is 2\pi r, where r is radius of the circle.

We know that,the equation of circle is in the form

(x-\alpha)^2+(y-\beta)^2= r^2

where (\alpha, \beta) is the center of the circle and r is the radius of the circle.

Given equation of circle is

(x-13.4)^2+(y+2.6)^2=100

The center of the circle is (13.4, - 2.6).

The radius of the given circle is \sqrt{100} units=10 units.

6 0
3 years ago
A particle moves along line segments from the origin to the points (2, 0, 0), (2, 3, 1), (0, 3, 1), and back to the origin under
sweet [91]

Answer: Work done by the particle is 78 N.

Step-by-step explanation:

If C is the path the particle follows, then work done is \int_{C}^{}F.dx.

According to the question the force F=z^{2}i+5xyj+4y^2k and all four points are in the plane z=\frac{1}{4}y.

therefore, if S is the at surface with boundary C, so that S is the portion of the plane z=\frac{1}{4}y over the rectangle D=[0,2]\times [0,4].

Now,

curlF=\begin{vmatrix}i &j  &k \\  \frac{\partial }{\partial x}&\frac{\partial }{\partial y}  &\frac{\partial }{\partial z} \\  z^{2}&5xy  &4y^{2} \end{vmatrix}=8yi+2zj+5yk

By the Stoke's theorem:

\int_{C}^{}F.dx=\iint_{s}^{}curlF.dS\\\\=\iint_{D}^{}[-8y(0)-2z\left ( \frac{1}{4} \right )+5y]dA\\\\=\iint_{D}^{}\left ( -\frac{1}{2}z+5y \right )dA

=\iint_{D}^{}\left ( \frac{39}{8}y \right )dA\, \, \, \, \, \, \, \, \, Since\, \, z=\frac{1}{4}y\\\\=\int_{0}^{2}\int_{0}^{4}\frac{39}{8}y\, \, \, dy\, dx\\\\

\int_{0}^{2}\left [ \frac{39}{16}y^2 \right ]_{0}^{4}dx\\\\=\int_{0}^{2}39\, \,  dx\\\\=39\times 2\\\\=78 \, N

8 0
4 years ago
What’s the equation of “two more than a certain number is 15 less than the product of 7/8 and the number”
Natali [406]

Answer:

2+x=15-7/8x

Step-by-step explanation:

5 0
3 years ago
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