Answer:
[tex]73\:\mathrm{dimes},\\35\:\mathrm{nickels}[/tex]
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}10d+5n=905,\\d+n=108,\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.
Multiply the second equation by [tex]-5[/tex] and add both equations to solve for [tex]d[/tex]:
[tex]\begin{cases}10d+5n=905,\\-5d-5n=-540,\\\end{cases}\\5d=365,\\d=\fbox{$73$}[/tex].
Plug [tex]d=73[/tex] into any equation to solve for [tex]n[/tex]:
[tex]73+n=108, \\n=\fbox{$35$}[/tex]
There are 73 dimes and 35 nickels.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins,
dime = 10
A nickel = 5
We can write the following system of equations;
10D + 5N = 905
N + D = 108 coins
where D is the number of dimes she has and N is the number of nickels she has.
Multiply the second equation by -5 and add both equations to solve for :
10D + 5N = 905
-5N -5 D = -540 coins
Use the Distributive Property:
Add the like terms:
5D = 365
Divide both sides by 5
D = 73
Plug D into any equation to solve for N
Nickels = 108 - 73 = 35
There are 73 dimes and 35 nickels.
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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
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.
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
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
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.
Britney work 35 hours at a rate of pay of 9.55 how much did she earn before taxes
Answer:
3.66
Step-by-step explanation:
35÷9.55=3.66
I step by step explanation
Answer:
The slope of line formed by given two points is undefined as the denominator becomes zero.
Step-by-step explanation:
Given points are:
(2,4) and (2,-2)
Here
[tex]x_1 = 2\\y_1 = 4\\x_2 = 2\\y_2= -2[/tex]
Slope is defined as the steepness of a line in the plane.
It is denoted by m and is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]
Putting the values we get
[tex]m = \frac{-2-4}{2-2}\\m = \frac{-6}{0}\\m = \infty[/tex]
The slope of line formed by given two points is undefined as the denominator becomes zero.
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
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
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.
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:
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
Plzz hurry!!!!!!!!!!!!!!!!!!!!!!!!
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
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!
301,251,769 to the nearest ten thousand
Answer:
301,250,000
I'm pretty sure that's it.
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
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%
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]
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
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:
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
:)
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
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
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.
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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.
PLEASEEEEEEEEE HELP
Translate the phrase into an algebraic expression.
The product of b and 9
Answer:
b(9) also known as: b multiplied by 9
I am not 100% sure but I do agree with the first person's answer so feel free to give them brainliest. Hope I helped though! Have a wonderful day! :)
The algebraic expression for the given phrase is 9b.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given phrase is "The product of b and 9".
Now, the expression is b×9
= 9b
Therefore, the algebraic expression is 9b.
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-4 + -7 ?
HELLPP
Can somebody explain to me please
Answer:
−4−7
=−4+−7
=−11
Step-by-step explanation:
if its the same sign add, different signs keep the sing of the larger number
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???