1) Caleb earned $28 for 4 hours of work. How much will he earn if he works 1 for 7 hours? (HINT: Make a table!) $16 or $39 or $49 or $ 56
Answers
Answer:
Step-by-step explanation:
First, figure out how much he makes each hour. To do this, we divide 28 by 4 which is 7. This means he makes 7 dollars an hour.
1 7
2 14
3 21
4 28
5 35
6 42
7 49
This goes on and on, but we need to know how many he makes for 7 hours. The answer is 49!
Answer:
The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
Step-by-step explanation:
We know that the data points given by (x,y) are in direct variation if:
for each (x,y)
We are given data as:
Caleb’s Earnings Hours(x) 12 15 18 21
Earnings (in dollars)(y) 140 170 200 230
So, we could see the ratio as:
Hence, we could see that each ratio are not equal.
Hence, the relationship between the earnings and the number of hours does not represents a direct variation.
Related Questions
Can y’all help me on this one
What’s the answer?
Answers
Answer:
x = 2
Step-by-step explanation:
First translate the image into an equation using the key. Once you do that, your equation should look like this:
(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)
________________________________
3x - 5 = -2x + 5
(given)
________________________________
3x - 5 = -2x + 5
+5. +5
(addition property of equality)
*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*
__________________________
3x = -2x + 10
+2x +2x
(addition property of equality)
*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*
________________________________
5x = 10
÷5. ÷5
(division property of equality)
*divide by 5(GCF) on both sides to isolate
x by itself*
________________________________
x = 2
________________________________
If you want to test this solution, substitute this back into the equation.
x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1
Find the 7th term in the sequence -1,2,-4,8
Answers
=======================================
Work Shown:
We have a geometric sequence
a = first term = -1
r = common ratio = (second term)/(first term) = 2/(-1) = -2
nth term
a(n) = a*(r)^(n-1)
a(n) = -1*(-2)^(n-1)
Now plug in n = 7 to get the 7th term
a(n) = -1*(-2)^(n-1)
a(7) = -1*(-2)^(7-1)
a(7) = -1*(-2)^6
a(7) = -1*(64)
a(7) = -64
The first seven terms are
-1, 2, -4, 8, -16, 32, -64
To get each new term, we multiply the last term by the common ratio -2
There’s not really an exact way to do this, you just have to look for a pattern.
This sequence follows the following notation:
An= -(-2^(n-1))
Then, we can plug 7 in for n.
A7 = -(-2^(n-1))
A7=-(-2^6)
A7=-64
A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.
Answers
Answer:
640 & 400
Step-by-step explanation:
Cost of books: x and 1040-x
x sold at a loss of 15%= .85 x
1040 - x sold at a profit of 36% = (1040 - x) *1.36
x*.85= (1040-x)*1.36
0.85x+1.36x= 1040*1.36
2.21x= 1414.4
x= 1414.4/ 2.21
x= Rs. 640
Rs. 1040 - 640 = 400
The Riley family has 3 children all born 1 year apart. Kate is the youngest, Bradley is the middle child, and Cameron is the oldest. Together, the children's ages total 36. How old is Kate?
Answers
Step-by-step explanation:
12
Answer:
11
Step-by-step explanation:
11+12+13 =36
So Kate would be 11. Bradley would be 12. And Cameron would be 13
What is √5⋅√7+2√35 expressed in simplified form?
Answers
3√35
mark me brainliest please!!
Answer:
3√35
Step-by-step explanation:
since √(ab) = √a·√b you can write √5·√7 as √35
So you have √35 + 2√35 = 3√35
What Is It HomeWork*.
Answers
Answer:
sumthing that we hate doing
Step-by-step explanation:ughhhhhhhhhh
someone help fast please
Answers
Answer:
c. supplementary angles
Step-by-step explanation:
88.403 887.304 887.043
Greatest to least
Answers
Answer:
887.304, 887.043, 88.403
Greatest to least
Gwen bought a 2 1/4 pound bag of Finch bird seed and 3 1/2 pound bag of parrot bird seed . The total cost for the two bags was $16.79. Find the cost per pound if it is the same for both types of bird seed
Answers
Answer:
The answer is 1 to 3.5 I know that's the answer because I looked it up and that looks pretty easy
Answer:
$2.92 per pound
Step-by-step explanation:
$2.92 is per pound
The ___ is the part of the neuron that carries information away from the cell body.
Answers
Answer:
axons
Step-by-step explanation:
The axons is the part of the neuron that carries information away from the cell body.
Answer: axon
Step-by-step explanation:
I just know cause I'm a different breed
I need help with this
Answers
Answer: B. 8 x 10^3
Step-by-step explanation:
b. 8 x 10³
hope this helps
Whích table corresponds to the equation y = - 3x - 2
Answers
Answer:
Step-by-step explanation:
What equation is equivalent to 3x+6=4x+7
Answers
Answer:
x=-1
Step-by-step explanation:
The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).
3x+6=4x+7
-3x -3x
6=x+7
All we need to do now is subtract 7 on both sides.
6=x+7
-7 -7
-1=x or x=-1 (they both mean the same thing!)
Hope this helps!! Have a wonderful day c:
Subtract using the number line.
−2−(+7)
Select the location on the number line to plot the point.
Answers
Answer:
-9Step-by-step explanation:
see attached
-2 -7 = -9
Can you guys help me with finding the answer to this?
Answers
students in a science class recorded lengths of a streched spring, as shown in the table. determine if each statement is true or false.
(Look at picture above)
A. The relationship represents a constant rate of change. True or false?
B. The slope of the relationship is 6 grams per centimeter. True or false?
C. The equation that represents the relationship is y = x + 10. true or false?
Answers
Answer:
Step-by-step explanation:
A thermometer read -17° F at 1:00 a.m. By 2:30 a.m., the temperature had dropped 9.1° F. What was the temperature at 2:30
a.m.?
Answers
Answer:
-26.1°
Step-by-step explanation:
So when the temperature decreases, you want to get more negative. So -17°-9.1°=-26.1°
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answers
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
znznzmzspmzlsldfpcf
How many cubic yards of dirt will it take to fill a hole that is in the shape of a cube 3 yards on each side?
Answers
Answer:
27 yds^3
Step-by-step explanation:
Answer:
27 cubic yards
Step-by-step explanation:
3 x 3 x 3 = 27
PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS
Answers
Answer:
The umbrella will fit in, but there will be a lot of extra room.
Step-by-step explanation:
Remember the Pythagorean theorem:
x^(2) + y^(2) = n^(2)
where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse
In this problem it is given that the sides (legs) are:
38in, and 24in
and diagonally across is 29in
so the hypotenuse is 29in
therefore we can form the equation:
38^(2) + 24^(2) = 29^(2)
without solving it is clear that
38^(2) + 24^(2) > 29^(2)
because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,
but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room
Answer:
see below
Step-by-step explanation:
The umbrella should fit
The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
Take the square root of each side
sqrt(900) = sqrt(c^2)
30 =c
As long as the umbrella is less than 30 inches, it should fit
The umbrella is 29 inches so it should fit
To win at Lotto in a certain state, one must correctly select 6 numbers from a Corbin of 52 numbers (one through 52). The order in which the selecting is made does not matter. How many different selections are possible?
Answers
Answer:
the answer is ... look down below
Step-by-step explanation:
52 divided by 6 equals 8.66
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answers
C because it’s nearest to -1
Answer:
Point C
Step-by-step explanation:
Since -0.095 is less negative than -0.1 it will be closer to zero and this number line more towards the right. since each dash in the line represents 0.01 and the difference between -0.1 and -0.095 is only 0.005 it will be really close to -0.01.
What is the factored form of the
polynomial? x^2+ 19x + 60
Help
Answers
Answer:
(x+15)(x+4)
Step-by-step explanation:
To determine whether they have a certain disease, 100 people are to have their blood tested.However, rather than testing each individual separately, it has been decided first to place the peopleinto groups of 10. The blood samples of the 10 people in each group will be pooled and analyzedtogether. If the test is negative, one test will suffice for the 10 people, whereas if the test is positive,each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.Assume that the probability that a person has the disease is .1 for all people, independently of eachother, and compute the expected number of tests necessary for each group. (Note that we areassuming that the pooled test will be positive if at least one person in the pool has the disease.)
Answers
Answer:
The expected number of tests necessary for each group is 7.51.
Step-by-step explanation:
The probability of a person having the disease is, P (X) = 0.10.
Then the probability of a person not having the disease is P (X') = 0.90.
It is provided that if the test is negative, one test will suffice for the 10 people.
Bur if the test is positive, each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Compute the expected number of tests necessary for each group as follows:
Expected number of tests = Negative Result × P (X') + Positive Result × P (X)
[tex]=(1\times (0.90)^{10})+(11\times [1-(0.90)^{10}])\\=0.3486784401+7.1645371589\\=7.513215599\\\approx 7.51[/tex]
Thus, the expected number of tests necessary for each group is 7.51.
find the perimeter of a circle whose diameter is 12.6 cm please help and show working don't say that you have it to collect my points
Answers
Answer:
C = 39.58cm
Step-by-step explanation:
2 * 3.14159 * 6.3
6.28318 * 6.3
39.584034
Answer:
see below
Step-by-step explanation:
The perimeter of a circle is called the circumference
C = pi *d
C = pi * 12.6
Using 3.14 as ab approximation for pi
C = 3.14 * 12.6
C =39.564 cm
Using the pi button for pi
C =39.58406744
Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?
Answers
Answer:
a2+b2=c2
Step-by-step explanation:
A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
Two angles of a triangle measures 55 degrees and 20 degrees
Answers
Answer:
105
Step-by-step explanation:
55 + 20 + x = 180
The function g(x) = -|x| is a transformation of the absolute value parent function. What does this graph look like?
Answers
Answer && Step-by-step explanation:
We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right
it will always be negative due to the negative sign being outside the abs val,
and the abs val, making the inside positive.
thus the resulting graph will be inverted from what was previously said
it will now come from the bottom right to the top left (still a diagonal line)
Evaluate: 8[1/4]
0
1
2
3
Answers
Answer:
0
Step-by-step explanation:
on edge step functions assignment
The value of 8[1/4] is 0, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The number= 8[1/4]
Now,
To evaluate 8[1/4], we need to use the definition of the square bracket notation. The square bracket notation means to round down to the nearest integer. For example, [3.7] = 3 and [-2.1] = -3.
So, 8[1/4] means to multiply 8 by the integer that is closest to 1/4 but less than or equal to it. The integer that is closest to 1/4 but less than or equal to it is 0. So, 8[1/4] = 8 * 0 = 0.
Therefore, by algebra the answer will be 0.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
if the airplane flew 40 miles, how many gallons of gas would be left in the tank