Mr. Logan spent 14 cents at the hardware store buying nails and screws. Nails cost 2 cents, and screws cost 1 cent. If Mr. Logan bought exactly 9 items, how many of each did he buy?
Please help me fast !!!
Answer:
5 nails and 4 screws
Step-by-step explanation:
Make it into an expression where N= amount of nails bought and S= amount of screws bought. Then set it equal to the amount he paid.
ie: 2n+1s=14
Now make another equation for how many he bought.\
ie: n+s=9
Now subtract one of the letter variables from the second equation to get one on alone.
ie: n=9-s
Now, since you have a value for N, substitute it for the value in the original equation so that there's only one variable.
ie: 2(9-s)+1s=14
Now solve for S.
ie: 18-2s+s=14
ie: -s=-4
ie: s=4
Now you have a number value for S that you can plug in the original equation to find the value of N.
ie: 2n+4=14
ie: 2n=10
ie: n=5
Now plug in your values for N and S into the original equation to check it. Your answer is 5 nails and 4 screws.
I tried to answer this one and got it wrong the question is “find the measure of each angle indicates”
Answer:
∠F = 80
Step-by-step explanation:
Let's find inner ∠D first, as you can see, it's a straight line but a line is in between, the outer angle is 120, and a straight line is 180, so 180 - 120 = 60. The inner ∠D is 60, now we can find ∠F, a triangle is 180:
40 + 60 + ∠F = 180
100 +∠D = 180
subtract 100 from both sides
∠F = 80
A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width of the bed the area of the concrete pad must be 80 ft.² write the quadratic equation that will be used to find the dimensions of the pad
Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
Given the following data;
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
[tex] l = 11 + w[/tex]
We know that, the area of rectangle, A = length * width
[tex] A = l*w[/tex]
Substituting the values into the equation, we have;
[tex] 80 = (11 + w)w[/tex]
Expanding the bracket, we have;
[tex] 80 = 11w + w^{2}[/tex]
[tex] w^{2} + 11w - 80 = 0[/tex]
*Solving the quadratic equation by using factorization method*
[tex] w^{2} + 16w - 5w - 80 = 0[/tex]
[tex] w(w + 16) - 5(w + 16) = 0[/tex]
[tex] (w - 5)(w + 16) = 0 [/tex]
Width, w = 5 feet or w = -16 feet.
Therefore, the width of the concrete pad is 5 feet or -16 feet.
To find its length, l;
[tex] l = 11 + w[/tex]
When w = 5 feet
[tex] l = 11 + 5[/tex]
Length, l = 16 feet
When w = - 16 feet
[tex] l = 11 + (-16)[/tex]
[tex] l = 11 - 16[/tex]
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
- 14b + 38 = 108
b = [?]
Answer:
b = -5
Step-by-step explanation:
[tex] - 14b + 38 = 108[/tex]
[tex] = > - 14b = 108 - 38 = 70[/tex]
[tex] = > b = \frac{70}{ - 14} = - 5[/tex]
I need the answers for #7 and #8
Answer:
7. x=9, y=7 The first number is 9, and the second number will be 7.
8. h= $2.25 c= $1.19 The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.
Step-by-step explanation:
7. First lets define the variables: x=first number; y=the second number
Now we set up a system of equations:
Eq. 1. 2x+y=25 Eq. 2. 3x-y=20
Now we solve (I'm going to use subsitution you can use wtv you are comfortable with)
1. 2x+y=25 1. y=25-2x
Subsitute.
2. 3x-y=20 2. 3x- (25-2x)=20
Simplify.
3x-25+2x=20 5x-25=20 5x=45 x=9
Now solve for y by subsituting x into one of the equations.
1. 2x+y=25 2(9)+y=25 18+y=25 y= 7
The first number is 9, and the second number will be 7.
8. Define the variables.
h= cost of a hotdog; c=cost of a bag of chips
System of Equations:
Eq. 1. 5h+3c=14.82 Eq. 2. 7h+6c=22.89
Now solve.
1. 5h+3c=14.82 2. 7h+6c=22.89
Using subsitution...
h=2.25 c=1.19
The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.
At an electronics store, the price of a tablet is marked down 15% to $212.50
What was the price of the tablet before the markdown?
Enter your answer in the box.
Please ai need answers fast!!!!
Answer:
$250
Step-by-step explanation:
$212.50 is 85% of the original price.
Therefore use the equation below to find out original price.
(original price) * 0.85 = 212.50
original price = 212.50 / 0.85 = 250
Answer:
250
Step-by-step explanation:
hope this helps
1. Given that ADEF
AABC, determine the length of side DF.
A
15
Answer:
DEF/3 = BAC
AC(7) x 3 = 21
What is the zscore with a confidence level of 95% when finding the margin of error for the mean of a normally
dstrbutad populaticn from a sarple?
O.99
1.65
1.96
2.58
Answer:
Z score with a confidence level of 95% is 1.96
Step-by-step explanation:
The computation of the z score with the confidence level of 95% is shown below:
While determining the margin of error for the normally distributed population from the sample, the z score of the confidence level of 95% is 1.96
The same is to be considered
Therefore the third option is correct
what is the equation of the line that has a slope of 5 and passes through the point (2,7)?
Answer:
[tex]y = 5x - 3[/tex]
Step-by-step explanation:
Given
[tex]Slope, m = 5[/tex]
[tex](x_1,y_1) = (2,7)[/tex]
Required
Determine the line equation
Using slope intercept form, the line equation can be calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for m, x1 and y1. The equation becomes
[tex]y - 7=5(x - 2)[/tex]
Open Bracket
[tex]y-7 = 5x - 10[/tex]
Add 7 to both sides
[tex]y-7+7 = 5x - 10+7[/tex]
[tex]y = 5x - 3[/tex]
Hence, the line equation is: [tex]y = 5x - 3[/tex]
at the gym 15 females and 30 males partisipated in a weight strength class if 40% of the females and 20% of the males also participated in the boxing class how many participents from the strength class also participated in the boxing class
A. 6
B.9
C.10
D.12
solve In 2010, the percentage of assisted living residents who had both heart disease and depression was 9%, the percentage with only heart disease was 25%, and the percentage with either condition was 48%. What percentage of assisted living residents had only depression
Answer:
The percentage of assisted living residents had only depression
P(D) =0.32
Step-by-step explanation:
Explanation:-
Given the percentage of assisted living residents who had both heart disease and depression was 9%
Let The event 'H' be the event of heart disease and 'D' be the event of depression
P(H ∩D) = 9% =0.09
The percentage with only heart disease was 25%
P(H) = 0.25
The percentage with either condition was 48%.
P(H∪D) = 48%=0.48
By addition theorem on probability
[tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]
[tex]0.48 = 0.25 + P(D) -0.09[/tex]
P(D) = 0.48 -0.16
P(D) = 0.32
The percentage of assisted living residents had only depression
P(D) =0.32
Troy wrote the equation in the box to find a solution to a problem.
6x = 42
Which problem could Troy be solving?
Troy set the microwave to defrost for 42 minutes. He later increased the time by another 6 minutes. What is the total time the microwave defrosted?
Troy bought movie tickets for 42 people. What is the total cost of the tickets if each ticket is $6?
Troy worked 6 days this week. If his timesheet totals 42 hours in those $6 days, how many hours did Troy average each day?
Troy sprinted 42 yards on Monday. On Friday, he sprinted $6 times as far. How far did Troy sprint on Friday?
I need help ASAP this is a grade!!
identify the type of pair of angles labeled as 1 and 2 in the figure. will give brainliest!!!!!
10. Write
8e'm
56e2m3
in simplest form.
Answer:
use desmos sientific
Step-by-step explanation:
Answer:
Use desmos sientific!!!!
Reba got home from school at 2:55 P.M. and played video games for 1 hour and 20 minutes. Then, it took her 1 hour and 35 minutes to finish her homework. What time was it when Reba finished her homework?
Include A.M. or P.M. in your answer Please help me fast!!!
The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution? Round your answer to the nearest hundredths.
Answer:2.99 on edge
Step-by-step explanation: i got the question wrong just for the answer hope this helps
Answer:
2.99 on edge
Step-by-step explanation:
What is the LCD of 7/8 and 3/4?
Answer:
x/8
Step-by-step explanation:
Answer:
I believe the LCD is 8
Step-by-step explanation:
hope that helps
A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month?
Answer:
The customer send and receive 15 GB of data during the month.
Step-by-step explanation:
Given;
Monthly charge for 6 GB of data = $67.95
Additional charge for each additional GB of data over 6 GB = $8.95
Bill received by the customer = $148.50
Therefore, we have:
Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55
Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB
Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB
Therefore, the customer send and receive 15 GB of data during the month.
A line is a(n)...... for a function if the graph of the function gets closer and closer to touching the line but never reaches it.
A.) asymptote
B.) diagonal
C.) estimation
D.)diagram
E.) array
A florist is making a fower bouquet for a client. The client wants the bouquet to have a ratio of 3 carnations to 5 peonies. Which of
these bouquets meets the clients needs?
A. a bouquet of 9 carnations and 20 peonies
B.
a bouquet of 9 carnations and 15 peonies
С.
a bouquet of 6 carnations and 15 peonies
D.
a bouquet of 6 carnations and 20 peonies
A bag contains 70 coins consisting of quarters and dimes. The total value of coins is $11.50. Which system of equations can be used to determine
the number of quarters, q, and the number of dimes, d, in the bag?
A. d+9= 70
0.100 +0.25q = 11.50
B. d + 9 = 70
0.25d + 0.107 = 11.50
C. d+q = 11.50
0.25d + 0.10g = 70
D. d +9 = 11.50
0.100 +0.25= 70
A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.
Answer:
67 dollars and 20 cents
Step-by-step explanation:
2.10 per thumb cover
32x2.10=67.2
Answer:
if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50
Step-by-step explanation:
8
7
6+
5
4 3
N
1
-8 -7 -6 -5 4ß -2
-1
1
2 3 4 5 6 7 8
-2
-3
-5
-6
-7
-8+
The system of equations has
O one solution
no solution
infinitely many solutions
Answer:
no bro
Step-by-step explanation:
no
Please help me and show work thank you
Answer:
-21
Step-by-step explanation:
We can use the opposite operation and subtract 4.3 from -16.9 to find out what w is. From that, we will get -21.
(I'm really sorry, I'm bad at explaining things but I hope this helped)
If f(x)= x^2-2x+3, find the value of f (-2) and f(3)
Step-by-step explanation:
Given
f(x) = x² - 2x + 3
Now
f(-2) = (-2)² - 2 * ( -2 ) + 3
= 4 + 4 + 3
= 11
f(3) = 3² - 2 * 3 + 3
= 9 - 6 + 3
= 12 - 6
= 6
Hope it helps :)
х = 2y + 3
х = Зу — 4
Joshua observed the changes in a cake when it was baked in an oven. What best explains that he observed a chemical change? (5 points)
a
He saw the rising batter form the cake in the oven.
b
He saw the cake expand outside the rim of the baking dish.
c
He noticed the flour and other ingredients lose their unique properties.
d
He noticed the steam from the moisture rise in the oven.
Answer:
a
Step-by-step explanation:
Considering the 9th slab of tax structure of Pakistan for 2020-2021, Where the taxable salary income exceeds Rs. 12,000,000 but does not exceed Rs. 30,000,000 the rate of income tax is 2,345,000 + 27.5% of the amount exceeding Rs. 12,000,000. If we create a mathematical Model of the tax structure, the function for this particular slab will be:
0.275x
0.275x-12000000
0.275x-955000
0.275x-2345000
9514 1404 393
Answer:
(c) 0.275x-955000
Step-by-step explanation:
The amount exceeding 12,000,000 can be described by ...
x - 12,000,000
Then 27.5% of that is ...
0.275(x -12,000,000) = 0.275x -3,300,000
Adding 2,345,000 to that gives the expression ...
2,345,000 +(0.275x -3,300,000) = 0.275x -955,000
What is the cost of a 5-mile taxi ride if the charge is $3.50 to start plus $2.70 per mile? Please show the work with the answer. TY!
Answer:
17
Step-by-step explanation: First multiply 2.70 by 5 which would equal 13.50. Then, add 13.50 and 3.50 would equal 17.
Please give brainliest if this helps. Thanks!
85 POINT QUESTION!!! What is the equation of this trend line? Enter your answers by filling in the boxes. K = J + Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable J. The vertical axis is labeled Variable K. Points are plotted at begin ordered pair 2 comma 16 end ordered pair, begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 16 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 5 and 93 hundredths comma 9 and 62 hundredths end ordered pair, begin ordered pair six comma 12 end ordered pair, begin ordered pair 6 comma 16 end ordered pairm beign ordered pair 10 comma 2 end ordered pair, begin ordered pair 10 comma 8 end ordere dpair. A line is drawn through begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 6 comma 16 end ordered pair, and begin ordered pair 10 comma 8 end ordered pair.
The answer for this question would be K=-2J+28. I hoped I helped!
Answer:
K=-2J+28
Step-by-step explanation:
i took the k 12 test