jessica has two sticks. the sticks are the same distance apart at every point. how would you best describe the sticks

Answers

Answer 1

Answer: I would describe them parallel.

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A pencil at a stationery store costs $1, and a pen costs $1.50. Stella spent $21 at the store. She bought a total of 18 items. Which system of equations can be used to find the number of pencils (x) and pens (y) she bought? x + 18y = 21 x = 1.5y 18x + y = 21 x = 1.5y x + 1.5y = 21 x + y = 18 1.5x + y = 21 x = 18y

Answers

Let x represent represent the amount of pencils that Stella bought, and y represent that number of pens that Stella bought.

We know that Stella bought 18 items total, meaning that the number of pencils and pens must equal 18 or :

x + y = 18

Additionally, we know that she spent $21, and that each pencil costs $1, and that each pen costs $1.50. Therefore,

1x + 1.5y = 21

So, the system of equations that can be used to find the number of pencils (x) and the pens (y) she bought would be:

x + 1.5y = 21
and
x + y = 18

x+1.5y=21 because you're finding the equation you would use to find the number of pencils and pens she bought.
Each pencil is $1 so that'd be 1x. When writing an equation, you don't write 1x, you just write x because that's all you have, 1 x. It's understood.
Each pen is $1.50 so that would be 1.5y.
x pencils+1.5y pens =21 dollars spent.

A football team paid 28 per jersey. they bought 16 jerseys .how much money did they spent on the jerseys.

Answers

You would multiply 28 to 16 and get:
448
HOPE THIS HELPS YOU! ^_^

Answer:

Step-by-step explanation: 28×16=$448

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. the total area of the flower garden is 150 square yards. what will the length of each base be

Answers

18 yards and 22 yards are the length of trapezoid.

What is Trapezoid?

Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides

Given,

shorter base to be 3 yards greater than the height

b₁=h+3

longer base to be 7 yards greater than the height.

b₂=h+7

Area of trapezoid=1/2(b₁+b₂)h

150=1/2(h+3+h+7)h

150=(2h+10)h/2

150=2h²+10h/2

150=2h²+5h

h²+5h-150=0

h²+15h-10h-150=0

h(h+15)-10(h+15)=0

(h-10)(h+15)=0

h=10 or h-15

h value should be positive.

So b₁=h+3=15+3=18

b₂=h+7=15+7=22

Hence the bases be 18 yards and 22 yards.

To learn more on Trapezoid click:

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From your information
Let shorter base = h +3 and longer base = h + 7 where h is the height.
Formula for area of a trapezoid is $A = (1)/(2) (b_1 +b_2)h$
Substituting into the formula we get the following equation.
$150= (1)/(2)(h+3+h+7)h$
$150 = (1)/(2) (2h+10)h$
$150=h^2+5h$
This is a quadratic equation which I will solve by factoring.
$h^2+5h-150 =0$
$(h-10)(h+15)=0$
$h-10= 0 ..... h=10$ this is a useable answer (it's positive and length must be nonnegative)
$h+15=0 .... h=-15$ can't use this answer
so shorter base = 10 + 3 = 13 yards and longer base = 10 + 7 = 17 yards

Can you give examples of situations that might be modeled with trigonometric functions?

Answers

Circular motion
Other armonic motions: pendular motion, motion of a mass attached to a spring.
Waves: light wave, sound wave
Cyclic phenomena: temperature of the earth.

Solve for x: −3|x + 7| = −12

Answers

-3Ix + 7I = -12 (divide -3 from each side)

Ix + 7I = -12/3

Ix + 7I = -4

x + 7 = -4 or -x - 7 = -4

x = -11 or -x = 3
x = - 3

x = -3 or -11

-3|x+7|= -12
⇒ |x+7|= -12/(-3)
⇒ |x+7|= 4
⇒ x+7= 4 or x+7= -4
⇒ x= 4-7 or x= -4 -7
⇒ x= -3 or x= -11

Final answer: x= -3 or x= -11~

The price of an item increased by 25%. If the price of the item after the increase is $2, find the original price.a) $1.50, b) $1.60, c) $1.75, d) $2.50, e) $3.20

Answers

25 % = 25/100 = 0.25

x ⇒ original price

$x + 0.25x = 2 \n 1.25x = 2 \n x = 2/1.25 \n x = 1.6$

The original price was $1.6

$x+0.25x=2\n 1.25x=2\n x=\$1.6\Rightarrow B$

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