Answer:
He needs 4 packs.
Step-by-step explanation:
6*4=24 So we would need 4 packs, which gives him 24 but at least we have 23 cups.
Suppose a city with population 620,000 has been growing of a rate of 3% per year. If this rate continues, find the population of this city in 14 years
Answer:
937,806
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years. = ??
Po = Initial Population = 620,000
r = Growth rate = 3% = 0.03
t = Time in years = 14
P(t) = 620000 (1 + 0.03)¹⁴
P(t) = 620000(1.03)¹⁴
P(t) = 937805.62941
Approximately P(t) = 937,806
The population of the city in 14 years is 937,806
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation Point: (4,-6) Equation: y = -3/4x + 1
Hey there!
The answer to your question is y = -3/4x - 3
If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:
y = -3/4x + b
Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:
-6 = (-3/4)(4) + b
-6 = -3 + b
-3 = b
We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3
Hope it helps, and have an amazing day! You've got this!
The equation of the line is 4y + 3x +12 = 0.
What is slope intercept form of a line?If a line has a given slope m and cuts a given intercept c on the y axis, then then equation of the line can be written as y = mx + c .
Given,
The line is parallel to the line y = -3/4x + 1.
Also, the line y = -3/4x + 1 has slope equal to -3/4.
Therefore, value of m = -3/4.
The required line is y = -3/4x + c
But, the line also passes through (4,-6).
Therefore, -6 = -3/4(4) +c
or c = -6 + 3
c = -3
Substituting c and m in y = mx + c:
y = -3/4x + (-3)
Hence, the required line is 4y + 3x +12 = 0.
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301,251,769 to the nearest ten thousand
Answer:
301,250,000
I'm pretty sure that's it.
What is the value of x in the solution to this system of equations ?
Y+2x=-1
Y=(1/2)x+4
Answer:
2×+y=-1
Do you think I'm right???
6. How much more is (6.48 x 10^5) than (3.2 x 10^2
Answer:
647680
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.48x10^5 / 3.2 x 10^2=2.025 x 10^3
i divide 6.48/3.2
10^5/10^2=10^3
Solve by the substitution method. 8x + 9y=56 -9x + y = 26
Answer:
(-2,8)
Step-by-step explanation:
8x + 9y=56
-9x + y = 26
---------------------------------------------------------------------------------
-9x + y = 26
+9x = +9x
y = 9x + 26
---------------------------------------------------------------------------------
8x + 9(9x+26) = 56 <-- substitute for y from above
8x + 81x + 234 = 56
89x + 234 = 56
- 234 = - 234
89x = - 178
x = -2 <--- we got the x value!!
--------------------------------------------------------------------------------
-9x + y = 26
-9 (-2) + y = 26 <-- substitute for x from above
18 + y = 26
- 18 = - 18
y = 8 <-- we got the y value!!
The daily supply of oxygen for a particular multicellular organism is provided by 625 square feet of lawn. A total of 8750 square feet of lawn would provide the daily supplies of oxygen for how many organisms
Answer:
multicellular organisms = 14
Step-by-step explanation:
given data
multicellular organism = 625 sq feet
total = 8750 sq feet
solution
we will gethere
as we know that 1 multicellular organism = 625 sq feet
so
we get here multicellular organisms that is
multicellular organisms = ( 8750 ×1 ) ÷ 625
multicellular organisms = 14
On a certain hot summer's day, 340 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $537.50.How many children and how many adults swam at the public pool that day?
Answer:
190 children and 150 adults
Step-by-step explanation:
1. 1.25x + 2y = 537.5
2. x + y = 340
Here, x represents the children and y represents the adults.
Again, the first equation represent the cost of tickets, while the second represents the number of people.
From the above equation, we can solve for x and y
From equation 2,
x + y = 340
x = 340 - y
Substitute for x in equation 1
1.25x + 2y = 537.5
Then,
1.25(340 - y) + 2y = 537.5
Expand the bracket
425 - 1.25y + 2y = 537.5
Collect like terms
-1.25y + 2y = 537.5 - 425
0.75y = 112.5
y = 150.
To get the value of x, substitute for y in equation 2
x + y = 340
x + 150 = 340
x = 340 - 150
x = 190
Therefore,
There were 190 children and 150 adults at the pool that day
A store manager at a local clothing store recorded the number of customers that visited the store each day for two weeks. 20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61 Make a stem and leaf plot that correctly show this data.
Answer:
STEM ______ Leaf
2 ______ 0 0 2 4
3 _______ 6 8
4 _______ 2 7
5 ______ 5 7
6 ______ 1 2 3 5
Step-by-step explanation:
Given that data:
20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61
STEM ______ Leaf
2 ______ 0 0 2 4
3 _______ 6 8
4 _______ 2 7
5 ______ 5 7
6 ______ 1 2 3 5
The unique numbers which starts each value is the stem while the second digit of each unique stem is the leaf.
Simplify the expression by combining like terms: 5w - W - 16
Answer:
4w-16
Step-by-step explanation:
the only like terms in this equation are the w, so subtract them and you get 4w-16.
Debbie's town voted on a new speed limit. Out of 17 votes, 17 were in favor of the new speed limit. What percentage of the votes were in favor of the new speed limit?
Answer: The percentage of the votes were in favor of the new speed limit = 100%
Step-by-step explanation:
Given: Total votes = 17
Total votes favored the new speed limit = 17
The percentage of the votes were in favor of the new speed limit [tex]=\dfrac{\text{Number of votes in favor}}{\text{Total votes}}\times100\\\\=\dfrac{17}{17}\times100\%=100\%[/tex]
Hence, the percentage of the votes were in favor of the new speed limit = 100%
Represent each of the following as an algebraic inequality.
1. m is at most 15.
2. The sum of 8n and 3n is at least 20.
3. The product of y and z is less than or equal to 10.
4. 9 less than a number x is under 18.
5. The difference between b and 6 is no greater than 12.
Sandy has 2 1/3 candy bars. She told her brother she will give him 1/2 of one of her candy bars. how much will she have left
is the simplified form of x+1/x^2+x-6 / x^2+5x+4/x+4
Answer:
1/(x - 2) (x + 4)
Step-by-step explanation:
If possible draw a line of best fit on the graph.
Where possible estimate the value of p on the line of best fit
where s= 10.
3.
S
2
14
14
4
12
18
12
6
5
15
р
16
6
18
12
13
7
Answer:
format is wrone
i will answer then
Step-by-step explanation:
x + y = 3 2x + 2y = -4
Answer:
(x,y)= (2/15, -(62/15)
Step-by-step explanation:
Answer:
Step-by-step explanation:
no solutions
2x+2y=-4 divide 2
x+y=-2
x+y=3
Help me please I need it really bad.
Answer:
6500
Step-by-step explanation:
How to find volume: height x length x width
The larger box: 15 x 20 x 25= 7500
Smaller box: 10 x 10 x 10= 1000
Place the smaller box inside the larger box, which means the smaller box takes up space so you would subtract their volumes and get- 7500-1000=6500
You need to exchange some of your U.S. Dollars for Australian dollars. For every U.S. Dollar, suppose you get $1.468 in Australian dollarys. If you already have $32.45 in Australian dollars, how much in U.S. Dollars do you need to exchange to have $766.45 in Australian dollars?
Answer: $500
Step-by-step explanation:
You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:
= 766.45 - 32.45
= A$734
1 USD gives A$1.468
The USD you will need is:
= 734/1.468
= $500
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answer:
Its C i just took the test and got this right!!!
Step-by-step explanation:
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.
5² = 4² + 3²
25 = 16 + 9
25 = 25
The side 3 cm and 4 cm is normal to each other.
Then the correct option is C.
More about the Pythagoras theorem link is given below.
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Car Survey In a survey of 1,300 people who owned a certain type of car, 910 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car.
Answer: let
Total number of those who took part in the survey (T) = 1300
Those were satisfied with the car(t)=910
Percentage of those who are satisfied (S)= (t/T)*100
S=(910/1300)*100
S=70%
Therefore 70% were satisfied
Step-by-step explanation:
Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.
A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.
B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.
C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.
D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
It's on Gradpoint
Answer:
D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
Step-by-step explanation:
Runner A:
Time it takes for him to finish:
t = 26.2/5.6 = 4.679 hours (to complete race)
.
Runner B:
Time it takes for him to finish:
t = 26.2/6.4 = 4.094 hours
BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.
t = 4.094 + .5 = 4.594 hours
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer: h = 14.5 ft
Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
i.e., the ratio of a side and the sin of its opposite angle is constant.
So, for this triangle, height is
[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]
[tex]h=\frac{14sin46}{sin44}[/tex]
[tex]h=\frac{10.07}{0.69}[/tex]
h = 14.51
Height of the main sail rounded to the nearest tenth is 14.5 ft.
14 = 2y/5 what is the solution?
Answer:
y=35
Step-by-step explanation:
y in (-oo:+oo)
14 = (2*y)/5 // - (2*y)/5
14-((2*y)/5) = 0
(-2/5)*y+14 = 0
14-2/5*y = 0 // - 14
-2/5*y = -14 // : -2/5
y = -14/(-2/5)
y = 35
y = 35
4-4.
Can someone please tell me whether its B or C?
I'm leaning towards B but a friend said C.
Answer:
B
Step-by-step explanation:
Your first instinct is correct. Plus, it says GAIN ==> +. Not LOSS ==> -.
Answer:
Step-by-step explanation:
Choice B is correct. It’s given that the helicopter’s initial height is 40 feet above the ground and that when the helicopter’s altitude begins to increase, it increases at a rate of 21 feet per second. Therefore, the altitude gain t seconds after the helicopter begins rising is represented by the expression 21 t. Adding this expression to the helicopter’s initial height gives the helicopter’s altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude: y equals, 40 plus 21 t.
Help ASAP pLeAsEeE I’ll make you as brainlister
Answer:
Step-by-step explanation:
Side a = 16
Side y = 25.60535
Side x = 30.19328
Angle A and angle B are complementary. If angle A measures 45 degrees, what does angle B measure?
a is 45 degrees and b is 45 degrees
PLEASE HELP WILL GIVE BRAINLIEST!!
NEED DONE TODAY PLEASE HELP!!
Answer:
They are not traveling at the same speed (Graph attached)
Step-by-step explanation:
(Assuming that the graph and table are the two different cars)
If you look at the graph and the table, you can already see that the value for 8 in the graph is 2, when the value for 8 in the table is 1, meaning that they are not at the same speed.
To graph the table, you need to find the equation first, which is y = 8x because the corresponding value for 1 in the table is 8 and the slope (or the value next to x) is equal to the unit rate, or the value corresponding to 1. Next, you can graph it by finding two points, (0,0) and (1,8), and putting a straight line through them (or use an online graphing calculator).
(Graph is attached)
Plzz hurry!!!!!!!!!!!!!!!!!!!!!!!!
"Five times a number minus seven is equal to the opposite of eleven."
Answer:
- 4/5
Step-by-step explanation:
5X-7 = -11
+7 = -11+7
5X = -4
Divide 5 on both sides
= - 4/5
Find the prime factorization for 100.
A. 2² x 52
B. 2 x 50
C. 4 x 25
D. 23 x 52
E. 22 x 53
Answer:
100
Step-by-step explanation:
So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 25*4