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katrin2010 [14]
3 years ago
9

kali bought 6 books for a total of $154. math books cost $27 and English books cost $23. how many of each type of book did she b

uy
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0
She bought 4 English books and 2 math books

27 x 4 = 108
23 x 2 = 46
108+46=154
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Solve the following system of equations: 5x + y = 9 3x + 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)
Mila [183]
Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)
7 0
3 years ago
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What is the volume of a rectangular prism with a length of 1. 4 meters, a width of 0. 5 meter, and a height of 1. 8 meters? 7. 5
mihalych1998 [28]

The volume of the rectangular prism will be  V=1.26m^{3}

<h3>What will be the volume of the rectangular prism ?</h3>

Given that

\rm Lenth \ of \ the \ rectangular \ prism =1.4\ m

\rm width\ of \ prism=0.5\ m

\rm Height \ of \ prism=1.8\ m

\rm Volume \ of \ the \ Rectangular \ Prism= L\times W\times H

V=1.4\times 0.5\times1.8=1.26 \ m^{3}

Thus the volume of the rectangular prism will be  V=1.26m^{3}

To know more about the volume of the rectangular prism follow

brainly.com/question/24284033

6 0
3 years ago
What is 10 to the negative fifth power
lianna [129]

−105

=−105

=−1*105

=−1*(10*10*10*10*10)

=−100000

HOPE THIS HELPS!


3 0
3 years ago
i don't understand how to make it into a graphing form? how do you find the center and radius? (I'm confused because it has a 4x
Vilka [71]

Answer: \bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}

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<u>Step-by-step explanation:</u>

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

(x-h)² + (y-k)² = r²    where

  • (h, k) is the vertex
  • r is the radius

1) Group the x's and y's together and move the number to the right side

   4x² - 16x         + 4y² - 24y               = -51        

2) Factor out the 4 from the x² and y²

    4(x² - 4x          ) + 4(y² - 6y            ) = -51

3) Complete the square (divide the x and y value by 2 and square it)

    4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)

  = 4(x - 2)² + 4(y - 3)² = -51 +  16  +  36

  = 4(x - 2)² + 4(y - 3)² = 1

4) Divide both sides by 4

   (x-2)^2+(y-3)^2=\dfrac{1}{4}

  • (h, k) = (2, 3)
  • r=\dfrac{1}{2}

6 0
3 years ago
A kite on a 100-foot string is fastened to the ground, making a 25° angle with the ground. To the nearest tenth of a foot, how h
lozanna [386]

Answer:  42.3 ft

<u>Step-by-step explanation:</u>

Draw a picture (see attachment)

Given: angle = 25°, hypotenuse = 100, opposite = ???

\sin\theta=\dfrac{opposite}{hypotenuse}\quad \rightarrow \quad \sin25^o=\dfrac{y}{100}\quad \rightarrow \quad 100\ \sin 25^o=y\\

                                                                            \large\boxed{42.3\ ft}=y

5 0
3 years ago
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