Answer:
Step-by-step explanation:
equations are created to solve for a certain variable. you can use the data given in the word problem to formulate a valid equation that incorporates all important components of the word problem. the variable can be represented as any letter (most commonly x or y) to find a value that is inconsistent or unknown. this is helpful to find a certain thing in the problem, such as the amount of hours needed to earn a certain amount of money.
Answer:
Equations are created to solve for a certain variable. you can use the data given in the word problem to formulate a valid equation that incorporates all important components of the word problem. the variable can be represented as any letter (most commonly x or y) to find a value that is inconsistent or unknown. this is helpful to find a certain thing in the problem, such as the number of hours needed to earn a certain amount of money.
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 480 miles apart after 3 hours, what is the rate of the eastbound train?
73 is the rate of the eastbound train while The speed of the westbound train is 59 miles per hour.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train.
Eastbound train:
time = 3 hrs, rate = x mph, distance = 3x miles
Westbound train:
time = 3 hrs ; rate = x-14 ; distance = 3x-42 miles
3x + 3x - 42 = 480
6x = 438
x = 73 (rate of the eastbound train)
To find the rate of the westbound train:
rate = x -14
rate = 73 - 14
rate of westbound train = 59
Therefore, The speed of the westbound train is 59 miles per hour.
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Evaluate:
54 - 75 + 81 - (-27) + 53
3. Reason Can you write
3+ 4+ 7 = 14 as a multiplication
sentence? Explain.
Answer:
3 + 4 + 7 = 14
7 + 7 = 14
2(7) = 14
Step-by-step explanation:
You track inventory at a furniture store. On Monday, the delivery truck delivers 15 new mattresses. Your team sells seven mattresses on Monday, two mattresses on Tuesday, zero on Wednesday, and five on Thursday. You receive a new order Friday morning of 15 mattresses. How many mattresses do you now have available?
Answer: 16
Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16
The number of mattresses available now is 16.
Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Let number of mattresses do you now have available be x.
Given that, receive a new order Friday morning of 15 mattresses.
So, x=15-(7+2+0+5)+15
=30-14=16
Therefore, the number of mattresses available now is 16.
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The ratio of boys to girls in ms Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the total number of students in her class?
Answer:
30 students
Step-by-step explanation:
you have a ratio, and an unknown amount, so set up a proportion
[tex]\frac{2}{3} = \frac{x}{18}[/tex] I used x because the amount of boys is unknown
so then, cross multiply
(so do 3 times x, and 2 times 18)
[tex]3x=36[/tex]
then divide both sides by 3 to get x by itself, and you get
[tex]x=12[/tex]
this means there are 12 boys in the class. because the problem is asking for the total number of students, add 12 and 18 (the number of boys and girls).
you get 30, so there are 30 students in her class.
What is one third of 1296?
Answer:
four hundred thirty-two
Step-by-step explanation:
one third of 1296 is same as = ⅓ of 1296
⅓ of 1296 is same as = ⅓ × 1296
= ⅓ × 1296
= 1 × 1296 / 3
= 1296/3
Let us try to simplify this fraction . Both the numerator and the denominator is divisible by 3 .
Then ,
= 1296 ÷ 3 / 3 ÷ 3
= 432/1
= 432
Therefore , one third of 1296 is 432
Select all the angles that are
congruent to 6.
A 1 C 3 E 7
B 2 D 4 F 8
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the second one would be the correct anwser i think.
Step-by-step explanation:
PLEASE HELP I BEG YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
R1: Given
R2: Subtraction Property of Equality
R3: Distribute Property
R4: Addition Property of Equality
R5: Division Property of Equality
Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
Given: ∠1 + ∠2 = ∠ 4
∠4 + ∠3 must be 180° because they are supplementary
If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.
Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.
Plz mark brainliest:)
What is the probability of getting orange
or blue and a multiple of 3?
Answer:
the answer is 1/2 because of the multiple of 3
In the figure find aec
Answer:
105
Step-by-step explanation:
the angle of aec is just a little more that 90°
Please help easy question
The Answer:
63° degrees
Answer:
63° degrees
Step-by-step explanation:
NEED HELP QUICK!
3) Line A is represented by the equation y=1/4x + 5. Write in slope-intercept form the equation
of a line that is parallel to Line A and passes through the point (8, -2)
A) What is the slope of (m) of the parallel line?
B) What is the point on the parallel line?
C) Write the equation in Point-slope form.
D) Solve the above point-slope form equation for slope-intercept form (y=mx+b). Show your work.
Alright so..
A. M=-4
B. (8, 2)
C. Y-2=-4(x-8)
and i don't know about the last one
2.
The heights of horses who compete in the Melbourne Derby are
normally distributed with a mean of 66 inches and a standard
deviation of 3 inches.
(a) If a horse is randomly selected from this race, what height
would you expect it to be?
(b) What percentage of horses who compete in the Melbourne
Derby have heights between 60 and 72 inches?
(c) In a particular year there are 25 horses running in the
Melbourne Derby. How many of these would you expect
to have a height of less than 63 inches?
Answer:
66 inches ;
95.44 ;
4
Step-by-step explanation:
Given that:
Normal distribution with;
Mean(m) = 66 inches
Standard deviation (s) = 3 inches
A.) If a horse is chosen at random, Expected height will be equal to the mean of the distribution = 66 inches
B.) percentage horses who are between 60 and 72 inches
Zscore = ( x - m) / s
x = 60
Zscore = (60 - 66) / 3
Zscore = - 6/3
= - 2
P(Z < - 2) = 0.0228
Zscore = ( x - m) / s
x = 72
Zscore = (72 - 66) / 3
Zscore = 6/3
= 2
P(Z < 2). = 0.9772
Between 60 and 72
0.9772 - 0.0228 = 95.44
c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?
Zscore = ( x - m) / s
x = 63
Zscore = (63 - 66) / 3
Zscore = - 3/3
= - 1
P(Z < - 1) = 0.1587
0.1587 * 25 = 3. 967 = 4
if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left
Answer:
3 and one third
Step-by-step explanation:
(3 1/3)
According to the U.S. Geological Survey, the Mississippi River is 200 mi
shorter than the Missouri River. Together, they cover a total of 4880 mi.
How long is the Missouri River? *
Which unit of length would be most appropriate to describe the length of your
foot?
Answer:
inches
Step-by-step explanation:
well depends on how big your foot is
A couple realizes a real estate financing of R $ 180,000.00, to be paid in 360 monthly installments, with an effective interest rate of 1% per month. The first installment is paid one month after the funds are released and the monthly installment is R $ 500.00 plus 1% interest on the outstanding balance (amount due before payment). Note that, with each payment, the outstanding balance is reduced by R $ 500.00 and consider that there is no arrears. By making the payment in this way, the amount, in reais, to be paid to the bank in the tenth installment is
a) 2,075.00.
b) 2,093.00.
c) 2,138.00.
d) 2 255.00.
e) 2 300.00.
Answer:
ANSWER: letter D
Step-by-step explanation:
In the tenth installment, the debit balance is, in reais, of
180000 - 9. 500 = 175500
The 1% interest on this amount results in:
1% . 175 500 = 1755
Thus, the tenth installment is, in reais, 500 + 1755 = 2255
find each sum.
17+(-28)
12+(-9)
-2+7
-14+(-10)
Answer:
-11
3
5
-24
Step-by-step explanation:
Answer:
1.-11
2.3
3.5
4.-24
Step-by-step explanation:
Hope this helps! :)
If f(x) = -x + 4 and g(x) = x^2 - 5, then g(f(-1)) = ?
Answer:
g(f(-1)) = 20
Step-by-step explanation:
first we need to compute f(-1)
f(-1) = -( -1 ) + 4 = 1 + 4 = 5
then we take g(5):
g(5) = ( 5 )^2 - 5 = 25 - 5 = 20
Arthur is building a rectangular sandbox for his son. The area of the sandbox is 17 23/32
sandbox is 3 3/8feet, what is the width of the sandbox?
Answer:
The answer is 5 1/4 feet
market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answer:
0.8461
Step-by-step explanation:
The question didn't state any value, so I assumed some of my own.
You can check your notes, and change the values to that of your own, it's the same method.
Given that
The market research firm conducts survey with 40% historical response rate.
The total number of sample is used is 400
The total number of individuals expected to cooperate is 150
What is the probability that the sample proportion would be 150/400 or 0.375..
See attachment for calculation.
9+10
A.21 B.19 C.1 D.90
Answer: 19 XD
Step-by-step explanation: u add
Which function defines the sequence 6,8,10,....?
(5 Points)
f(n)=2n+4
f(n)=3n+2
f(n)=6n
Answer:
f(n)=2n+4
Is the answer
John earns $437 a week after a 15% pay rise. What was his pay initially? Round your answer to the nearest dollar.
Answer:
380 dollars
Step-by-step explanation:
John earns $437 a week after a 15% pay rise.
Let the initially pay of John be x
x + (15% of x) = 437
x + 0.15x = 437
1.15x = 437
x = \frac{437}{1.15}
1.15
437
x = 380
Please help this is due today!! Question: What is the relationship between the 6s in 660,472?
Answer:
The first 6 is in the hundred thousands place.
The second 6 is in the ten thousands place.
Here are the info for the rest of the numbers:
6 = hundred thousands
6 = ten thousands
0 = thousands
,
4 = hundreds
7 = tens
2 = ones
Hope this helps you!
Best of luck!
angle 1 and angle 4 are blank angles
Answer:
C. vertical angles
Step-by-step explanation:
In ΔGHI, \overline{GI} GI is extended through point I to point J, \text{m}\angle GHI = (3x+13)^{\circ}m∠GHI=(3x+13) ∘ , \text{m}\angle IGH = (x+8)^{\circ}m∠IGH=(x+8) ∘ , and \text{m}\angle HIJ = (6x-5)^{\circ}m∠HIJ=(6x−5) ∘ . Find \text{m}\angle GHI.m∠GHI.
Given:
In ΔGHI, GI is extended through point I to point J.
[tex]m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ[/tex]
To find:
The measure of angle GHI.
Step-by-step explanation:
According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.
Using exterior angle theorem, we get
[tex]m\angle HIJ= m\angle GHI+m\angle IGH[/tex]
[tex](6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ[/tex]
[tex](6x-5)^\circ=(4x+21)^\circ[/tex]
[tex]6x-4x=21+5[/tex]
[tex]2x=26[/tex]
Divide both sides by 2.
[tex]x=13[/tex]
Now,
[tex]m\angle GHI=(3x+13)^\circ[/tex]
[tex]m\angle GHI=(3(13)+13)^\circ[/tex]
[tex]m\angle GHI=(39+13)^\circ[/tex]
[tex]m\angle GHI=52^\circ[/tex]
Therefore, the measure of angle GHI is 52 degrees.
Sarah has 4/7 pounds of flour. She is splitting the flour into 5 containers
with the same amount in each container. How much flour will be in each
container? *
Answer:
4/35 pounds
Step-by-step explanation:
4/7 ÷ 5 is the same as
[tex]\frac{4}{7} * \frac{1}{5}[/tex]
4x1/7x5
= 4/35
Answer:
4/35
Why?
To figure this out I had to make 5 into a fraction. 5/1. Now, I had to find a common denominator. 35. From there I changed both fractions, divided them, and got my answer.
Please Help!!!!!!!!
19. The velocity of an object fired directly upward is given by V = 35 – 9.8t, where t is time in seconds. Which inequality describes the velocity when t is between 0.5 and 1.5 seconds? (HINT: Remember that when you multiply an inequality by a negative number, you must switch the direction of the inequality.)
A. 20.3 > 35 - 9.8t > 30.1
B. 4.9 > t > 14.7
C. 0.5 35 - 9.8t > 4.9
D. V < 30.1
E. 20.3 < 35 - 9.8t < 30.1
F. 14.7 > 35 - 9.8t > 4.9
Answer:
20.3 < 35 - 9.8t < 30.1
Step-by-step explanation:
Given the Velocity model:
V = 35 – 9.8t ; t = time in seconds
V when t is between 0.5 and 1.5
V when t = 0.5
V = 35 - 9.8(0.5)
V = 35 - 4.9 = 30.1
Vt=0.5 = 30.1
V when t = 1.5 ;
V = 35 - 9.8(1.5)
V = 35 - 14.7 = 20.3
Vt= 1.5 = 20.3
Hence V, between, t = 0.5 and t = 1.5
Vt=1.5 < V < Vt=1.5
20.3 < V < 30.1
V = 35 - 9.8t
20.3 < 35 - 9.8t < 30.1