Answer:
m = -2
Step-by-step explanation:
5m - 2 = -12
Isolate m.
5m = -12 + 2
5m = -10
m = -10/5
m = -2
1. identify the corresponding sides on the figure below
Answer:
No because one side is 8 and the other is 18
Step-by-step explanation:
A baker cut a pie in thirds. He cut each third into 4 equal pieces and each piece into 2 equal slices. He sold
14 slices.
What fraction of the pie did the baker sell?
The baker sold
of the pie.
Answer:
He sold 7/8 of pie.
Step-by-step explanation:
A pie cut in thirds = 3 pieces
Each of this 3 pieces is cut into 4 equal pieces, which equals
3 x 4= 12 pieces of cut pie.
Each of this piece is cut into 2 equal slices,
which equals 12 x 2= 24 slices of pie.
If he sold 14 slices, then the fraction sold is
14/24 = 7/8
He sold 7/8 of pie.
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 185 degrees Fahrenheit when freshly poured, and 3 minutes later has cooled to 167 degrees in a room at 60 degrees, determine when the coffee reaches a temperature of 137 degrees.
Answer:
9.4 secs
Step-by-step explanation:
From Newton's law of cooling;
T(t) = Ts + Do e^-kt
Where;
D0= initial temperature difference
Ts= Temperature of the surroundings
t= time
K = positive constant
Do = 185 - 60 = 125 degrees
167 = 60 + 125 e^-3k
167 - 60 = 125 e^-3k
107/125 = e^-3k
ln(e^-3k) = ln(107/125)
-3k = -0.1555
k = 0.1555/3
k = 0.0518
Substituting the value of k to find the time taken to reach 137 degrees
T(t) = Ts + Do e^-kt
137 = 60 + 125 e^-(0.0518t)
137 - 60 = 125 e^-(0.0518t)
77 = 125 e^-(0.0518t)
e^-(0.0518t)= 77/125
ln [e^-(0.0518t)] = ln(77/125)
-0.0518t = -0.4845
t = 0.4845/0.0518
t = 9.4 secs
Square root of. 100
Answer:
10
Step-by-step explanation:
10 squared is 100
Arrange the following numbers in ascending order. (a) 5812214,
Answer:
1, 1, 2, 2, 4, 5, 8
Step-by-step explanation:
Hope this helps :)
Maybe brainliest?
Calvin saved 1/4 of the price of the car he wanted to buy which fraction is 1/4 A 2/12
B 5/20
C 2/16
D 5/25
Answer:
1/4 = 5/20
Step-by-step explanation:
1/4 = 5/20
Answer:
Step-by-step explanation:
1/4 is equivalent only to B (5/20). To check this, try dividing 20 into 5 with a calculator; you should get 0.25 = 5/20
8(1+2i)-(7-3i)=1+5i
What mistake did Daine make?
Answer:
He did not apply the distributive property correctly for 8(1 + 2i).
Step-by-step explanation:
Mason bought c chocolates. Cameron bought 20 times as many chocolates as Mason. Write an expression that shows how many chocolates Cameron bought.
Answer:
20c is the expression
In 1990, the cost of tuition at a large Midwestern university was $99 per credit hour. In 2003, tuition had risen to $268 per credit hour
Answer:
63%
Step-by-step explanation:
From the question, we aim to find the percent increase in the tuition
Given data
initial cost= $99 per credit hour
Final cost= $268 per credit hour
% increase= (Final - initial )/initial *100
substitute
% increase= (268- 99 )/268 *100
% increase= 169 /268 *100
% increase= 0.630*100
% increase= 63%
Hence the increase in the tuition from 1990 to 2003 is 63%
Simplify the expression 7(4p)
Answer:
28p
Step-by-step explanation:
7x4=28 and then you have to put the p after it.
9 - 3x +7y -Зу +3
Thx!!!
Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126
Answer:
The third term of a proportional will be: 84
Step-by-step explanation:
We know that if a, b, c and d are in proportion, then:
[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]
In our case, we are given the first, second, and fourth terms are [tex]24, 36, 126[/tex]
[tex]a = 24[/tex]
[tex]b = 36[/tex]
[tex]d = 126[/tex]
and we have to determine the third term 'c'.
as we know that if a, b, c, and d are in proportion, then:
[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]
Thus,
substituting a = 24, b = 36, d = 126 to determine
[tex]24\:\times \:126\:=\:36\:\times \:c[/tex]
[tex]c=\frac{24\:\times \:\:126}{36}[/tex]
[tex]c=\frac{3024}{36}[/tex]
[tex]c = 84[/tex]
Thus, the third term of a proportional will be: 84
The baker's recipe for a loaf of bread calls for 12 ounces of flour. If he uses all of his flour to make loaves of bread, how many full loaves can he bake in two weeks?
Answer:
not enough info. how much flour does he have to begin with? how much does he use per day?
Step-by-step explanation:
Please answer quickly 14 points for it :)
Answer:
0.65, 2.05, 2.56, 5.06, 5.62
Answer: 0.65, 2.05, 2.56, 5.06, 5.62.
Find the slope of the line passing through the points (-2,-3) and (2,5) 
Answer:
Undefined
Step-by-step explanation:
Andre says that x is 7 because he can move the two 1s with the x to the other side.
Do you agree with Andre?
The image necessary to answer this question is below in the attachment.
Answer: No.
Step-by-step explanation: For this hanger to be in equilibrium, both sides have to equal.
The diagram can be represented as
x + 1 + 1 = 1 + 1 + 1 + 1 + 1
x + 2 = 5
x = 3
So, for this hanger to work, x = 3.
The perimeter of an equilateral triangle is 114mm.
State the length of one of its sides
Answer:
Since an equilateral triangle has all three side equal then one of its side is 38mm
The length of one of the sides of the triangle is 38 mm.
What is Perimeter?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Given that all of the sides of an equilateral triangle are equal in length, we may calculate the length of a side by dividing the perimeter by the triangle's total number of sides, which is 3.
As a result, the equilateral triangle's one side has the following length:
114 mm / 3 = 38 mm
Therefore, the equilateral triangle's sides are each 38 mm long.
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ2
What is the slope of this graph
Answer: positive I think
Step-by-step explanation:
Express the recurring decimal 0.004 as a fraction.
Answer:
The recurring decimal 0.004 in friction is 1/250
Answer:
Step-by-step explanation:
Let x=0.004444....
1000x-100x=4.444... -0.444...
900x=4
x=4/900=1/225
Answer from text book is given but I cant understand how they get this answer using these numbers?
This was the question:
Analia wants to know which school has higher academic achievements relative to the number of teachers per student.
a) What is the Graduation rate divided by teachers per student?
b) SAT average divided by teachers per student?
So I looked up the answer after getting it wrong and this is the calculations used to come to the answer. I cant figure out how they put these 3 numbers together to get 18,947 and 11,053
Answer:
The equation is
(students x points) / teachers
A triangular prism and two nets are shown:
A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 17 inches. Net A has 3 rectangles having dimensions 5 by 17, 17 by 12, and 17 by 13, and two triangles having legs 12 inches and 5 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 17, and two triangles having legs 5 inches and 12 inches.
Which is the correct net of the prism and what is the surface area of the prism?
a
Net A with 570 square inches
b
Net A with 590 square inches
c
Net B with 502 square inches
d
Net B with 514 square inches
Answer:
B) i did the test no worries
Step-by-step explanation:
Find an equation of the straight line that is perpendicular to y=2x+1 and passes through the point (-2,5)
Answer:
y = -1/2x + 4
Step-by-step explanation:
to answer this question you need to find the slope and the y-intercept
to find the slope of a line that is perpendicular to another line you take the opposite and reciprocal of the slope of the first line
in this case the slope of the initial line is 2; therefore, the opposite reciprocal is -1/2
knowing slope ('m') = -1/2 and having the point (-2, 5) can give us the y-intercept of the new line; we start with:
y = mx + b and then plug the values in so find the y-intercept ('b')
5 = (-1/2)(-2) + b
5 = 1 + b
b = 4
put it all together: y = -1/2x + 4
Sumita buys a set of earphones for £12.17. She pays with £15. How much change does she get? Give your answer in £.
She will get $8.01. Hope this helped.
find the slope of the line passing through the points (7,-6) and (-7,-6)
Answer:
1.1667
Step-by-step explanation:
Slope = change in y / change in x
Slope = (-6 - -6) / (-7 - 7)
Slope = 0/-14
Because the change in y is 0 the slope would be 0
Slope = 0
Q6.
Nimes was driving to a hotel.
He looked at his Sat Nav at 13 30
Time
1330
Distance to destination
65 miles
Nimec arrived at the hotel at 14 48
Work out the average speed of the car from 13 30 to 14 48
You must show all your working.
Answer:
The average speed at which Nimes drove his car was 50 miles per hour.
Step-by-step explanation:
Given that Nimes was driving to the hotel at 1:30 p.m., being 65 miles away from it, and finally arriving at its destination at 2:48 p.m., to determine the average speed at which the circle should be made. following calculation:
14:48 - 13:30 = 1:18
60 = 100
18 = X
(18 x 100) / 60 = X
1,800 / 60 = X
30 = X
65 / 1.30 = X
50 = X
Therefore, the average speed at which Nimes drove his car was 50 miles per hour.
of the last 14 contestants on a game show, 7 qualified for the bonus round. Considering this data,
how many of the next 12 contestants would you expect to qualify for the bonus round?
contestants
Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )
a. 11
b. 20
c. 9
d. 10
Answer:
9
--- your answer is 9 oof
The table below shows the amount of money earned by two different workers over 5 consecutive days. Which equation best represents Fallon's earnings in terms of Donald's earnings? (How do you go from x to y?)
A. x = 7y
B. x = y + 7
C. y = x + 7
D. y = 7x
Answer:
Answer:C. y = x + 7
Step-by-step explanation:
everything on the left is 7 less then on the right
PLEASE HELP GEOMETRY
Answer:
60
Step-by-step explanation:
find the measure of the missing angle to the nearest degree, with showing your work.
[tex]\cos\theta=\frac{10}{14}\\ \\
\theta=\cos^{-1}\frac{10}{14}\\ \\
\theta=44^o [/tex]