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NARA [144]
3 years ago
7

The goal of a toy drive is to donate more than 1000 toys. The toy drive already has collected 300 toys. How many more toys does

the toy drive need to meet its goal? Write and solve an inequality shows the points you must earn to go the next level?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

Let t be the number of toys.

Since, the toy drive already has collected 300 toys

⇒ t+ 300

Also, it is given that the goal of a toy drive is to donate more than 1000 toys.

We get an inequality:

⇒t + 300 > 1000

Solve an inequality:  

t + 300 > 1000

Subtract 300 from both sides we get

t + 300 -300 > 1000-300

Simplify:

t > 700

Therefore, more than 700 toys does the toy drive need to meet its goal.

An inequality is; t + 300 > 1000 ;  t > 700




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last week you sold 30,45,50,75 and 80 units each day of the week in that order . On average how many units did you sell per day?
Butoxors [25]

Answer:

56 units

Step-by-step explanation:

add all numbers then divide by 5

30+45+50+75+80 = 280

280/5 = 56

4 0
3 years ago
What is the slope of the line for (-2,2) and (2,3)?
Allushta [10]

Answer:

y=1/4x slope is 1/4

Step-by-step explanation:

add 1 to 2 to get 3 for the change in y, then add 4 to -2 to get 2 for the change in x, then put the change in y (1), over the change in x (4), to get a slope of 1/4

5 0
3 years ago
Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
For t=2 , 14t−3t is equal to ____? and 3t−14t is equal to ____?
const2013 [10]

Answer:

14t-3t=22

  1. 3t-14t= -22
  2. where there is t multiply by 2
8 0
2 years ago
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = ln(x2 + 3x + 4), [−2, 2]
vivado [14]
The vertex (minimum) of the quadratic ax² +bx +c is located at x=-b/(2a). This means the minimum value of f(x) will be found at x = -3/(2*1) = -1.5.

Since the vertex of the quadratic is less than 0, the maximum value of the quadratic will be found at x=2, the end of the interval farthest from the vertex.

On the given interval, ...
  the absolute minimum value of f is f(-1.5) = ln(1.75) ≈ 0.559616
  the absolute maximum value of f is f(2) = ln(14) ≈ 2.639057

4 0
3 years ago
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