Answer:
'-18' is the constant in the expression -18 - 3a.
Step-by-step explanation:
We know that in an algebraic expression the constant term has a fixed value and it can not be changed.
For example,
The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.
IN OUR CASE,
Given the expression
-18 - 3a
As '-18' is a fixed number and its value can not be changed.
Therefore, '-18' is the constant in the expression -18 - 3a.
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
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:
is this right? please help me
Answer: You are correct, the solution is:
-2 + (-4) + 2 = -4
Step-by-step explanation:
We start at position -2, then we get 4 in the first dice, the first dice tell us how many units we move to the left, and at the left we have the negative side of the numberline then we need to subtract 4 to the starting position. This is:
-2 - 4
Or we can rewrite this as:
-2 + (-4)
Now we got a 2 in the second dice, this dice tell us how many units we move to the right, and we know that the right is the positive side of the numberline, then we need to add 2.
The equation becomes:
-2 + (-4) + 2 = -4
So you are correct.
Which equation represents a function that is NOT linear?
y= 4xsquared +1
y = -2x – 1
y-2-2
y= -5
I believe it would be y=4x^2+1 , it's in a U shape
:)
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
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
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
301,251,769 to the nearest ten thousand
Answer:
301,250,000
I'm pretty sure that's it.
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%
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
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???
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.
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
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
Last week, Clay wrote 4 checks for $20 each from his checking account and
made one deposit of $96. What was the change in the balance of his account
over the week?*
Answer:
Step-by-step explanation:
clay will have
-80+96=16 dollars
the change in balance is +16
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.
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
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:
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
Heeeeelp pleaseeeee I will mark brainliest (if the answer is right)
Answer:
p = 6
Step-by-step explanation:
The slope equation is:
[tex]m = \frac{y \frac{}{2} - y \frac{}{1} }{x \frac{}{2} - x \frac{}{1} } [/tex]
then to know the value of "p":
[tex] - \frac{1}{3} = \frac{7 - p}{p - 9} \\ - 1(p - 9) = 3(7 - p) \\ - p + 9 = 21 - 3p \\ 3p - p = 21 - 9 \\ 2p = 12 \\ p = \frac{12}{2} \\ p = 6[/tex]
2. Which of the following is the solution of the system of equations shown? A. (−3, −4) B. (–3, 4) C. (3, 4) D. (3, –4)
Answer:
(3,-4)
Step-by-step explanation:
all you need to do is count to the side and count down from the axis's to the points. Its in the third quadrant so only the y axis would be negative
Hope this helps!
Brainliest would be much appreciated!
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!!
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
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
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)
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.
To learn more about slope intercept form visit:
https://brainly.com/question/28850474
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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
Plzz hurry!!!!!!!!!!!!!!!!!!!!!!!!
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.
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