Answer:
a = 17
c = 9
Step-by-step explanation:
2a + 3c = 61
3a + 5c = 96
3a = 96 - 5c (solve for 'a'. Then you can substitute)
a = 32 - [tex]\frac{5}{3}[/tex] c
2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61 (Substitute)
64 - [tex]\frac{10}{3}[/tex]c + 3c = 61 ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])
-[tex]\frac{1}{3}[/tex] c= -3
c = 9
2a + 3(9) = 61
2a + 27 = 61
2a = 34
a = 17
A7. Charlie sells wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?
1.
Answer:
21
Step-by-step explanation:
(7x2)+(1.5x2)+(2x2)
Instructions: Find the measure of
Answer:
93
Step-by-step explanation:
Add the two angles 48 and 39 =87. 180-87=93
A metal smith is mixing two molten metals
Answer:
I think the answer is going to be A (15)(0.75) and 0.7(15 – x) + 0.9x, I hope this helps!! :)
Step-by-step explanation:
What is the slope of the line? What is the y-intercept of the line? y = 2x + 5
Slope intercept form of a line is, y = mx + c where m is the slope and c is constant.
Judging the given equation y = 2x + 5
Slope (m) of the line is 2,
y-intercept of the line,
y = 2x + 5
y = 2×0 + 5
y = 5
Answered by GAUTHMATH
Answer:
m = 2
y intercept = 5
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 2x +5[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 2 [/tex]
[tex]\implies y - intercept= 5[/tex]
What are the different forms of a quadratic function and what do the variables represent?
Answer:
Quadratic equations of second degree.
[tex]{ \bf{a {x}^{2} + bx + c = 0}}[/tex]
Quadratic equations of third degree.
[tex]{ \bf{a {x}^{3} + {bx}^{2} + cx + d = 0}}[/tex]
Which expression has a value of 15 when n = 7?
1: 43 minus 5 n
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction
Answer:
[tex]19-\frac{28}{n}[/tex] is the expression with the value of 15 when n = 7
Step-by-step explanation:
To find the expression whose value is 15, substitute the value of n = 7 in each given expression.
Expression 1:
[tex]43-5n[/tex]
Substitute the value of n & simplify,
[tex]43-5(7)[/tex]
[tex]43-35=8[/tex]
Since the value of the expression is 8 which is not equal 15.
Hence expression [tex]43-5n[/tex] does not have value of 15 when n = 7.
Expression 2:
[tex]3n-5[/tex]
Substituting the value of n & simplify,
[tex]3(7)-5[/tex]
[tex]21-5=16[/tex]
Since the value of the expression is 16 which is not equal 15.
Hence expression [tex]3n-5[/tex] does not have value of 15 when n = 7.
Expression 3:
[tex]6n-28[/tex]
Substituting the value of n & simplify,
[tex]6(7)-28[/tex]
[tex]42-28=14[/tex]
Since the value of the expression is 14 which is not equal 15.
Hence expression [tex]6n-28[/tex] does not have value of 15 when n = 7.
Expression 4:
[tex]19-\frac{28}{n}[/tex]
Substituting the value of n & simplify,
[tex]19-\frac{28}{7}[/tex]
[tex]19-4=15[/tex]
Since the value of the expression is 15 which is equal 15.
Hence expression [tex]19-\frac{28}{n}[/tex] has the value of 15 when n = 7.
the LCM of 16 and 18 is
the lcm of 16 and 18 is 144 !
The table shows information about some children.
Age 11 Age 12 Total
Girls 3
a
b
Boys
c
5 8
Total
d
13
e
A pupil is selected at random.
What is the probability of selecting a student aged 12?
Give your answer in its simplest form.
Answer:
[tex]P(Age\ 12) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
Age 11 Age 12 Total
Girls 3 5 8
Boys 1 3 4
Required
[tex]P(Age\ 12)[/tex]
The number of aged 12 children is:
[tex]Age\ 12 = 5 + 3[/tex]
[tex]Age\ 12 = 8[/tex]
The total number of children is:
[tex]Total=8+4[/tex]
[tex]Total = 12[/tex]
So, we have:
[tex]P(Age\ 12) = \frac{Age\ 12}{Total}[/tex]
[tex]P(Age\ 12) = \frac{8}{12}[/tex]
Simplify
[tex]P(Age\ 12) = \frac{2}{3}[/tex]
What is the equation, In factored form, of the quadratic function shown in the graph?
Given:
The graph of a quadratic function.
To find:
The equation of the quadratic function in factored form.
Solution:
From the given graph it is clear that the graph of the function intersect the x-axis at point (-3,0) and (2,0).
Since -3 and 2 are the zeros of the function, therefore (x+3) and (x-2) are the factors of the required quadratic function.
Now, the function can be written as:
[tex]f(x)=a(x+3)(x-2)[/tex] ...(i)
The graph of the function intersect the y-axis at (0,-6). Substituting [tex]x=0,f(x)=-6[/tex] in (i), we get
[tex]-6=a(0+3)(0-2)[/tex]
[tex]-6=a(3)(-2)[/tex]
[tex]-6=-6a[/tex]
[tex]\dfrac{-6}{-6}=a[/tex]
[tex]1=a[/tex]
Substituting [tex]a=1[/tex] in (i), we get
[tex]f(x)=1(x+3)(x-2)[/tex]
Therefore, the required function is [tex]f(x)=1(x+3)(x-2)[/tex].
Juan is selling fruit baskets and pencils for his
fundraisers. He started his fundraising early and has 12
weeks to reach his goal of selling $300.00 worth of
goods to pay for his trip's cost.
If Juan uses the table shown to represent all of his
data, what interval for the weeks would you use in
column 1 so that all 12 weeks are represented?
Week.labels:
X1, 2, 3, 4
2, 4, 6, 8
3, 6, 9, 12
1, 3, 6, 10
Answer:
Juan will need the number of fruit baskets to sell the last three weeks to achieve his goal=18
Step-by-step explanation:
sszhskf7kj Is correct
He's the one that commented on the other answer
C) 3, 6, 9, 12
W=VI. Make V the subject of formula
Answer:
hope that is helpful
Step-by-step explanation:
W= VI
W= VI
I. I
V= W
I
Answer:
V = [tex]\frac{W}{I}[/tex]
Step-by-step explanation:
Given
W = VI ( isolate V by dividing both sides by I )
[tex]\frac{W}{I}[/tex] = V
b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?
Answer:
The answer would be D
Step-by-step explanation:
I did the quiz
Step-by-step explanation:
n(u)=200
no(A)=80
no(B)=75
ii) Using both brand=200-80-75
=45
iii)n(A)=80+45
=125
iv)n(B)=75+45
=120
Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}
Answer:
the exact answer is 1.98
if we rationalize denominator we get root 0f 10 times pi divided by 5
root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92
Step-by-step explanation:
[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]
2m^2-5m-3=0 by factorization
Answer:
M= 6, -1
Step-by-step explanation:
Factoring these numbers, it will result in (m-6)(m+1). So, m= 6,-1
A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to cover a total of 24 kilometers
Answer:
8 trips
Step-by-step explanation:
You can solve this by unitary method.
15 kilometers in 5 trips means 1 trip consist of 3 kilometers
Therefore, 24/3 = 8
So the required answer is 8 trips.
Thank you!!
Cayden has several screws on a scale, and the scale reads 80.955 cayden add 1 more screw and the scale reads 84.81
Answer:
-3.855
Step-by-step explanation:
Not sure if you need the weight of each screw! but you just subtract 80.955-84.81
Answer:
1
Step-by-step explanation:
itnisbbsndnfnfnfnnfnfnfncjcjccjcj
A researcher who examines the causal relationship between amount of exercise (i.e., participants are randomly assigned to 30 minutes of exercise per day or no exercise) and memory abilities is using the ______ research design.
Answer: experimental
Step-by-step explanation:
Experimental research design refers to a research that is conducted with a scientific approach whereby two sets of variables are used. It adheres to the scientific research design.
An experimental research design consist of an hypothesis, a variable which the researcher can manipulate and variables which can be measured. Based on the information given, the experimental research design is used.
Recall how the sorceress's twin
brother converts blueberries by
adding 9 to the number of
blueberries given to him and then
doubling it. Find the output if he is
given zero blueberries.
The wizard returns blueberries.
Answer:
18 blueberries
Step-by-step explanation:
also nice zoro profile pic
Pls help ASAP!!!!!
Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.
Answer:
0. 116
Step-by-step explanation:
The function is given as :-
[tex]\boxed{f(d) = 5(1.02)^d }[/tex]
and we have to find the rate of change from d = 4 to d = 11
[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]
The final input value is 11 whereas the initial input value is 4.
The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).
[tex]{\underline{Initial\:Output}}[/tex]f(4) = [tex]5(1.02)^4[/tex]
f(4) = 5 × 1. 08
f(4) = 5. 41
[tex]{\underline{Final\:Output}}[/tex]f(11) = [tex]5(1.02)^11[/tex]
f(11) = 5 × 1. 24
f(11) = 6. 22
[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]
[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]
Which graphs are the graphs of even functions?
HELP ASAP
Answer:
Step-by-step explanation:
Even functions have symmetry about the y-axis, so the graphs of even functions are the bottom 2.
Simple percent question!!!!
My question says that line segment DC is 50% longer than line segment BD, and BD is 40 ft. Does that mean DC is 60 ft or 80? Please explain, brainliest to whoever explains it properly and quickly
Answer:
60ft
Step-by-step explanation:
DC is 50% longer than BD (given)
BD is 40ft (given)
DC is 50% longer than BD this means that DC= BD+50% of BD
40ft +50/100 * 40
=40ft +20ft
=60ft
Another way to solve this could be DC is 150%of BD as BD =40ft=100% of it's length.
So, 150/100 *40
=60ft
Hope this helps.
Please mark me as brainliest.
sue has 18 pieces of candy
tony has 18 pieces of candy
sue then gives some to tony
sue then eats five of hers
tony eats half of his
write the expressions for the number of pieces candy sue and tony now have?
Answer:
Sue candy = 13 - x
Tony candy = 9 + 1/2x
Step-by-step explanation:
Sue candy = 18
Tony candy = 18
Let x = some candy gives to tony
Sue candy = 18 - x
Tony candy = 18 + x
sue then eats five of hers
Sue candy = 18 - x - 5
= 13 - x
tony eats half of his
Tony candy = 1/2(18 + x)
= 18/2 + x/2
= 9 + 1/2x
Expressions for the number of pieces candy sue and tony now have:
Sue candy = 13 - x
Tony candy = 9 + 1/2x
One number is 6 times a second number. The sum of the two numbers is 56. Find the numbersOne number is 6 times a second number.
The sum of the two numbers is 56. Find the numbers
Answer:
I think its 56 = 56
Step-by-step explanation:
Answer:
8 and 48
Step-by-step explanation:
This can be written as a system of equations. X will be the smaller number and y will be the larger:
6x = y
x + y = 56
Then substitute y in the second equation for 6x(seen in first equation) and solve.
x + 6x = 56
7x = 56
x = 8
So one number is 8. To find the other plug in 8 for x in either of the original equations (both get the same answer for y).
6x = y
6 * 8 = y
48 = y
Then double check by seeing if they fit the requirements of the problem.
Hope this helps!
Please answer this, I need help fast
B
Step-by-step explanation:
If you're using a Casio calculator you can just change the mode to table mode. Put the equations as they are,decide the value of the X axis you want to start at and where you want to end. The step you can use 1 if you want. Press = button. You'll have the co-ordinates. Plot the co-ordinates of each equation and see which one gives a straight line graph. I started at -4 and ended at 5 and I used step 1
A side of the triangle below has been extended to form an exterior angle of 158º. Find
the value of x.
Answer:
22°
Step-by-step explanation:
180° - 158° = 22°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
(6 x 10 to the power of -1) - (5 x 10 to the power of -3)
Answer:
0.595.
Step-by-step explanation:
.
Answer:
[tex]\frac{6247}{375000}[/tex]
Step-by-step explanation:
Hey, Ace here!
We have the equation [tex](6*10)^{-1} - (5*10)^{-3}[/tex]
Let's simplify by doing the parenthesis first:
[tex]60^{-1} - 50^{-3}[/tex]
According to our exponent rules, [tex]a^{-b}=\frac{1^{b}}{a^{b}}[/tex]
So let's simplify:
[tex]\frac{1^{1}}{60^{1}} - \frac{1^{3}}{50^{3}}[/tex]
Simplify further:
[tex]\frac{1}{60} - \frac{1}{125000}[/tex]
Find a common denominator (which, yes, is a pain):
[tex]\frac{1*6250}{60*6250} - \frac{1*3}{125000*3}[/tex]
Simplify:
[tex]\frac{6250}{375000}-\frac{3}{375000}[/tex]
Now perform the subtraction:
[tex]\frac{6247}{375000}[/tex]
That's your answer. Let me know if you have any questions.
In a golf tournament Ned was 6 under par on Saturday and 7 over par on Sunday. What was the difference in his score on Sunday compared to his score on Saturday?
Answer: 13.
Step-by-step explanation:
Since Ned was 6 under par on Saturday and 7 over par on Sunday, the difference in his score on Sunday compared to his score on Saturday will be:
= 7 - (-6)
= 7 + 6
= 13
Therefore, the difference in the scores on Saturday compared to that of Sunday is 13
Find the greatest common factor of the
following monomials:
36m3n4. 2m5n3. 4m6n6
Answer:
2m^3n^3
Step-by-step explanation:
Let us start with the number parts
36 , 2 and 4
2 is common here as it can divide all
The smallest m factor is m^3 so it is common for all
The smallest n factor is n^3 which is also common for all
So, we have the greatest common factor as;
2 * m^3 * n^3 = 2m^3n^3
SOMEONE PLEASE HELP!!
Answer:
RV = 18
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18
help asap no wrong answers pls
Answer:
- 1.4
Step-by-step explanation:
The average rate of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 1 ] , then
g(b) = g(1) = - 3 ( value of g(t) when t = 1 ]
g(a) = g(- 4) = 4 ( value of g(t) when t = - 4 )
average rate of change = [tex]\frac{-3-4}{1-(-4)}[/tex] = [tex]\frac{-7}{5}[/tex] = - 1.4