Answer:
y = [tex]\frac{1}{2} x[/tex]+3
Step-by-step explanation:
Shelley has a collection of dimes, nickels and quarters that is worth $5.25. There are a total of 48 coins. If there are 7 more nickels than quarters, how many dimes are there?
Answer:
25 dimes
Step-by-step explanation:
Given
Coins: Nickels (N), Quarters (Q) , and Dimes (D)
$0.05 = 1 nickel, $0.10 = 1 dime and $0.25 = 1 quarter
So, the amount implies:
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
The number of coin implies:
[tex]N + D + Q = 48[/tex]
and
[tex]N = 7 + Q[/tex]
Required
Determine the number of Dimes
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
[tex]N + D + Q = 48[/tex]
[tex]N = 7 + Q[/tex]
Substitute 7 + Q for N in the first and second equation
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
[tex]0.05(7 + Q) + 0.10D + 0.25Q = 5.25[/tex]
[tex]0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25[/tex]
Collect Like Terms
[tex]0.10D + 0.25Q+0.05Q = 5.25 - 0.35[/tex]
[tex]0.10D + 0.30Q = 4.90[/tex] ----- (1)
[tex]N + D + Q = 48[/tex]
[tex]7 + Q + D + Q = 48[/tex]
Collect Like Terms
[tex]D + Q + Q= 48 - 7[/tex]
[tex]D + 2Q= 41[/tex]
Make Q the subject
[tex]2Q = 41 - D[/tex]
[tex]Q = \frac{41}{2} - \frac{D}{2}[/tex]
[tex]Q = 20.5 - 0.50D[/tex]
Substitute 20.5 - 0.50D for Q in (1)
[tex]0.10D + 0.30Q = 4.90[/tex]
[tex]0.10D + 0.30(20.5 - 0.50D) = 4.90[/tex]
[tex]0.10D + 0.30*20.5 - 0.30*0.50D = 4.90[/tex]
[tex]0.10D + 6.15 - 0.15D = 4.90[/tex]
[tex]0.10D - 0.15D = 4.90 - 6.15[/tex]
[tex]-0.05D = -1.25[/tex]
Solve for D
[tex]D = \frac{-1.25}{-0.05}[/tex]
[tex]D = 25[/tex]
Hence, there are 25 Dimes
What is the sum of:
-11.5 (3.2) =
Please answer
Answer:
Step-by-step explanation:
you multily the negative by the positive and get a negative answer so -36.8
Stefan sells Jin a bicycle for $149 and a helmet for $16. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
55
Step-by-step explanation:
149+16=165, 165/150=1.1, 1.1*100=110, 165-110=55
Answer:
55
Step-by-step explanation:
i used a calculator cause IK the equation but I couldn't get the right answer
A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank
Answer:
it would be 0.64
Step-by-step explanation:
PLEASE HELP DUE SOON!!!
Jordan is mowing lawns to save money for the Camp Rodeo Field Trip. The total cost for the excursions, travel, and food will be $130. Jordan has already saved $50. Which of the following equations represents how much more money Jordan needs to save in order to go on the field trip?
A. x + 50 = 130
B. x - 50 = 130
C. x - 130 = 50
D. x = 50 + 130
Answer:
X + 50 = 130
Step-by-step explanation:
This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.
To solve, subtract 50 from each side,
X + 50 - 50 = 130 - 50, and simplify,
X = 120.
Jordan will need $120 more to go to the Camp Rodeo Field Trip.
Hope this helps.
Mental Math
Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the math mentally thanks to expanded notation and the Distributive Property. Show work PLS
Answer:
288 I think
Step-by-step explanation:
24 hours each month. Each year has 12 months so 24x12=288
Answer:
288
Step-by-step explanation:
There are 12 months in a year, so you add 24 12 times.
24 plus 24 is 48
48 plus 24 is 72
72 plus 24 is 96
96 plus 24 is 120
120 plus 24 is 144
144 plus 24 is 168
168 plus 24 is 192
192 plus 24 is 216
216 plus 24 is 240
120 plus 24 is 244
244 plus 24 is 288
my head hurt after this haha
the ratio of two supplementary angles is 3:6. what is the measure of the smaller angle?
10, 20, 30, or 60?
Answer:
it's so hard bro I can't anser
What is the equation in slope-intercept form of the line that passes through the points (0, −4) and (2, 0)?
Answer:
[tex]y = 2x -4[/tex]
Step-by-step explanation:
Slope intercept form is [tex]y = mx + b[/tex] where m is the slope and b is the y-intercept.
Slope is [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] in this case = [tex]\frac{0 - (-4)}{2 - 0} = \frac{4}{2} = 2[/tex]
Substitute one of the coordinates for x and y. I am going to use (0, -4) so:
[tex]-4 = 2(0) + b\\-4 = 0 + b\\-4 = b[/tex]
since m = 2 and b = -4, we can conclude that the equation would be
[tex]y = 2x -4[/tex]
Answer:
y=2x-4
the slope is 2 and the y-intercept is -4, the equation is
Step-by-step explanation:
m=y2-y1/x2-x1
0-(-4)=4
2-0=2
4/2=2
slope=2
y=mx+b
0=2(2)+b
2*2=4
4-4=0
0-4=(-4)
y-intercept=(-4)
y=2x-4
hope this helps :3
if it did pls mark brainliest
Factor the following expression : x2+ 3x
Answer:5x
Step-by-step explanation:
Dumb
pleaseeee help! was due 2 weeks ago!
Answer:
7. y = 2x + 7
8. y = -3x - 4
9. y = -5x - 34
10. y = 2/5x + 6/5
11. y = 1/4x + 4.5
12. y = -2x
Step-by-step explanation:
to find the slope-intercept formula of these charts: (i'm guessing that that's what your teacher wants? you forgot to include their directions in the images)
you need to use y = mx + b
to find m, you take two coordinates and then do (y2 - y1)/(x2 - x1)
to find b, figure out what y is when x = 0.
you can either do this by looking at the chart and finding 0 on the x side, or if that isn't there, take a different point and insert the y and x values into what you have so far. if you enter the points correctly and have an m, the only letter you should have left is b. so all you'd need to do from there is solve the equation for b!
hope this helped!!
what is a and b? PLEASE HELP!!
please help me with this math question I don't get a lot of time
(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?
Answer:
x=-3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
2(x - 3) = 4x
2x - 6 = 4x
2x - 4x = 6
-2x = 6
x = -3
I hope this helps you :)
For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? c. What number is 40% of 1602
Answer:
A. 160 Out of 40 is 400%./// B. The answer is 25/// C. The answer is 3905%
Step-by-step explanation:
( A ) One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 160 is 40% of = 160 X 100 = 400
40
( B ) The same thing as A but the numbers are switched
One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 40 is 160% of = 40 × 100 = 25
160
( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:
1602 - 40 = 1562
Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:
1562 = 39.05
40
We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?
39.05 x 100 = 3905%
160 is percentage of 40, 40 is 160% , number is 40% of 1602 are 64 , 64 and 640.8 respectively.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Problem A,
40% of 160 = 160 x 40 / 100
= 64
Problem B,
160% of 40 = 160 x 40 / 100
= 64
Problem C,
40% of 1602 = 1602 x 40 / 100
= 640.8
Therefore, 160 is percentage of 40, 40 is 160% , number is 40% of 1602 are 64 , 64 and 640.8 respectively.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Which could be the first step in solving the equation represented by the model below?
A. Add 4 negative unit tiles to both sides.
B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C. Add 4 positive unit tiles to both sides.
D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Answer: A. Add 4 negative unit tiles to both sides.
Step-by-step explanation: Hope this helps
Hayley is filling a tank with water. She measures the depth, in inches, of the water in the tank at the end of each hour for 8 hours. Hayley writes the equation y = 10x + 6 to describe the depth of the water in the tank (y) at the end of each hour (x). Which graph shows the depth of the water in the tank at the end of each hour?
Answer:
the top left
Step-by-step explanation:
Naomi can run 12 miles in 108 minutes. She is thinking about running in two different races, a 9-mile race and a 13-mile race. At her current rate, how many more minutes will it take her to complete the 13-mile race than the 9-mile race?
$______
PLEASE HELP I"LL GIVE BRAINLEST DUE AT 11:59
Answer:
36
Step-by-step explanation:
It takes her 9 minutes to run one mile
9*9=81
13*9=117
117-81=36
Hope this helps! :)
Which figure is missing in the pattern?
Answer:
B
Step-by-step explanation:
The pattern is square numbers so
1, 4, 9, 16, 25
please help!! what should i use to get the area of the triangle?
Answer: Area =1/2 *B*H
Step-by-step explanation:
Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?
Answer:
$58.33
Step-by-step explanation:
Set up a proportion where x is the amount she makes for 7 hours:
[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]
Cross multiply and solve for x:
3x = 175
x = 58.33
So, after working for 7 hours, she will make $58.33
Answer:
About 60-65$
Step-by-step explanation:
Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3
What is 17x13 divide by four
Answer:
55.25
Step-by-step explanation:
17*13=221
221/4=55.25
WILL REWARD Doug takes 3 pages of notes during each hour of class. Write an equation that shows the
relationship between the time in class x and the number of pages y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
y=3x
Step-by-step explanation:
what is the range of the graph below
Answer:
D
Step-by-step explanation:
The range is the lowest and highest section of a line that is represented with coordinate. The range itself is purely vertical, and so to start we are looking for the lowest point first. We can see that the lowest point is -3. This is shown by the point that is 3 units down vertically. So as of now we can write the equation for the range:
[tex] \: 3\leqslant y \leqslant [/tex]
This means that 3 is less than or equal to y. This is always consistent. The last part we are looking for is the highest point, which is 2.
Is 9% of 998 pages less or larger HURRYYYYYYYY
Answer:
less that is it have good day
Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?
Using the order of operations, what should be done first to evaluate (-4) +6-(-3-4) (2) - 5?
VX
© Subtract 5 from 2.
Divide 6 by-3.
0 Add-3 and 4
O Multiply 4 and 2
Answer:
The answer is Add -3 and 4 should be done first
There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?
Answer: 53.33
Step-by-step explanation:
If a = -9 and b = -4, what is the value of ab?
Answer:
36
Step-by-step explanation:
so you are trying to find the value of a multiplied by b.
You also know that A=-9 and b=-4
this means that you are solving -9 times -4
-9 times -4 = 36
HELP ME PLS I HAVE A PROJECT WORTH 500 POINTS
12. Answer
w+(9+3)
13. Answer
17+12+y+z
Answer:
noooo he/she left...
Step-by-step explanation:
i could use some help on this. thanks
Answer: is B
Step-by-step explanation:
Answer:
1 to 1?
Step-by-step explanation: