An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Answer:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
-3x+3y=3 and -5x+y=13
Answer:
y = x + 3
y = 5x + 13
Janice is making plans for her company party. She has a budget of $100 ta
spend. She plans to buy pizza for $12 each, but there will also be a $4
delivery charge. How many pizzas can she afford to buy?
1. Write the equation: ______
2. Janice can buy ___ pizzas for the party.
PLEASE HELP! <3
can you tell me the answer
James is studying different kinds of weather.
Rain has water drops that are larger than 0.02 inch in diameter.
Small hailstones are less than 14 inch in diameter.
Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.
A
B
C
D
E
F
G
H
Answer:
i got b and h{i hope this helps}
Step-by-step explanation:
what 5-2 to the power of 5
Answer:
243
Step-by-step explanation:
(5-2) = 3
3 to the power of 5 is 3x3x3x3x3
3x3x3x3x3 = 243
Answer:
(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243
Step-by-step explanation:
1. (3x + 7) + (8x + 2)
What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5
The points are (-5,7) and (10,1). The slope of the points is -2/5.
How to calculate a slope ?Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.
Given that,
The points are (-5,7) and (10,1).
We have to find the slope of the points.
The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,
Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here,
x₁=-5,
y₁=7
x₂=10
y₂=1
Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]
Slope of the points =(-6)/(15)
Slope of the points = -2/5
Therefore, the slope of the points is -2/5.
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Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?
Answer:
Number of students in each group = 8
Step-by-step explanation:
kevin and monica led the same number of vistors.
Let x = number of students in each group
Kevin lead 150 adults, plus 6 student groups.
150 + 6x
Monica led 134 adults, plus 8 student groups.
134 + 8x
Equate both equations
150 + 6x = 134 + 8x
Collect like terms
150 - 134 = 8x - 6x
16 = 2x
Divide both sides by 2
x = 16 / 2
= 8
x = 8
Number of students in each group = 8
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
Find the value of a and b when x =10
Answer:
A=250
B=10
Step-by-step explanation:
You plug in 10 for x and solve
Para la venta de las misiones, la señora Susy preparó chilibeans , para lo cual compró 4 1/2 kg de frijol. Como no tenía una olla suficientemente grande, tuvo que prepararla en tres recipientes: dos de ellos eran del mismo tamaño, pero el tercero tenía la mitad de capacidad que los otros. ¿Cuánto frijol puso en cada recipiente si lo dividió de manera proporcional al tamaño de los recipientes?
Answer:
En cada recipiente grande coloco 1.8 kilos de frijoles y en el recipiente pequeño coloco 0.9 kilos.
Step-by-step explanation:
dividio los frijoles en 3 recipientes
volumen total de los 4 recipientes = 2x + 2x + x = 5x
esto se debe a que los 2 mas grandes tenian el mismo tamaño (2x), mientras que el pequeño tenia solo la mitad (x)
4.5 kilos de frijoles / 5 x
x = 0.9 kilos de frijoles
recipiente grande = 2 · 0.9 = 1.8 kilos
Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal
Answer:
6 times
Step-by-step explanation:
Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;
y = 3x
How many times do the wheels rotate when Linda pedals 2 times
Here, x = 2
From ; y = 3x
y = 3(2) = 6
Hence, wheel rotates 6 times.
Answer:
Step-by-step explanation:
The shoes cost 35.00 and the tax is 6.5%. How many tax will you pay on the shoes?
Answer:
The tax is 2.28
Step-by-step explanation:
Take the cost of the shoes and multiply by the tax rate
35 * 6.5%
Change to decimal form
35 * .065
2.275
Round to the nearest cent
2.28
The tax is 2.28
Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?
Answer: 0.08
Dont belive the dummy that said 0.30
Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
Given information:
Antonio's dad bought gas for their family's ATV two weeks in a row.
Last week, he bought 12 gallons for $35.40.
This week, he bought 9 gallons for $25.83.
So, the cost of one gallon for last week is,
[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]
The cost of one gallon for this week is,
[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]
So, the extra charge paid by his dad for the last week for one gallon will be,
[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]
Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
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Which property is shown: 3t + 2r = 2r + 3t?
Answer:
Commutative Property
Step-by-step explanation:
The commutative property shows two values or equations that are similar, but in a different order.
Examples:
3 + 4 = 4 + 3
5x + 2h = 2h + 5x
estimate then divide 36712 divided by 52
Answer:
7060 Step-by-step explanatiojo:
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
Which of the following inequalities is shown in the graph
Answer: D) y ≤ 5/2x + 5
The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.
Hope this helps!
giving brain list ..
options:
C is the midpoint of BD
reflexive property
definition of midpoint
vertical angles
given
Answer:
1. A is congruent to C
2. Given
3. I think line ac is congruent to line ce, don't know the options
4. angle ABC is congruent to angle DCE
5. Possibly vertical angles
The point is plotted on the number line.
What whole number best approximates the value of x?
Answer:
D. 104
Step-by-step explanation:
After taking the square root of all possible answers 104 gives you 10.19 in decimal form which is the closest and most accurate number to 10.2 where the point is closely located to.
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
8 x 101 which one is it?
8
8O
800
Answer:
808
Step-by-step explanation:
WHat is 9 to the the power of infinity timees the number of cubic inches
Answer:
...infinity cubic inches?
Step-by-step explanation:
My sister gave me $12 for my birthday. I now have 3 times as much as I did before. How much money did I have originally?
Answer:
36 is the answer
i need help with this
Answer:
x1=-1/97/12xx2=1 1=/97/12
Step-by-step explanation:
2
X=6x^2+4=0
-6x2^-x+4=0
Courtney walks 3 laps around a 3-mile track. [1 mile is 5280 feet]. How far does she walk?
Answer:
9 miles, or 47520 feet :)
Step-by-step explanation:
Answer:
47520
Step-by-step explanation:
3x3=9
5280*9=47520
Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box
Answer:
14
Step-by-step explanation
you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$
of
estion
Instructions: Write the equation of the line in
Slope-Intercept Form given the information
below. Use Point One in your answer.
Point One = (0, -2)
Point Two = (-3, -5)
Slope-Intercept Form: