The sum of two consecutive odd integers is 84. Find the two integers.
Step 1 of 2: Set up an equation using the variable n as the smallest integer. Do not solve the problem.
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Answer: n + (n + 2) = 84
Step-by-step explanation:
If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.
Answer:
41 and 43.
Step-by-step explanation:
We can divide 84 by 2 and add and subtract 1 from the result to get 41 and 43 as the two numbers. For any number n that is divisible by 2, we can solve this problem by finding n/2 + 1 and n/2-1. These will always be consecutive odd numbers and if you add them up, you get n.
3-4 what is the answer I am dumb plz helq
Answer:
Its -1. Do not call yourself dumb, though, negatives are the easiest subject
Step-by-step explanation:
Solve for x.
21 + 3x = -15
Answer:
21+3x=-15
-21 -21
3x=-36
÷3 ÷3
x=-12
x=-12
A train leaves New Delhi at 4:00 p.m. and reaches Lucknow at midnight. Its speed is 55km/h. What is the distance between Delhi and Lucknow?
Answer:
[tex]\boxed{440 km}[/tex]
Step-by-step explanation:
→ Work out time between New Delhi and Lucknow
12:00 - 4:00 = 8:00
→ State the speed formula
Speed = Distance ÷ Time
→ Rearrange to make distance the subject
Distance = Speed × Time
→ Substitute in the values
55 × 8 = 440 km
A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125
Answer:
A
Step-by-step explanation:
For the sequence, the defining formula is given as;
an = Previous term + 9
So a2 will be -5 + 9 = 4
a3 will be 4 + 9 = 13
a4 will be 13 + 9 = 22
a5 will be 22 + 9 = 31
So the sequence of numbers will be;
-5, 4 , 13 , 22 , 31
Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches. Select the equation that most accurately depicts the word problem
A:x+2x^2=36
B:x+x+2x=36
C:2x+2x+2x=36
D:x+2x+2x=36
Answer:
Answer is below
Step-by-step explanation:
To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.
Answer:
D:X+2X+2X=36
Step-by-step explanation:
X+X=EQUAL AND DOUBLE THE SHORTEST SIDE
2[X+X]+[X]=36
4.5+ (-4.5+ 2.6)
written by using the associative property
Anyone please answer only have 3 min
Answer:
A
Step-by-step explanation:
Answer:a
Step-by-step explanation:
when y= 4x, if y= 36, what is x?
Answer:
x=9, hope I helped :P
Can you explain why a larger denominator actually means the fraction is smaller than a fraction with a smaller denominator? Why is it helpful to know how to compare and order fractions? Can you think of situations where you will need to compare and/or order fractions?
Answer:
It is helpful to know how to compare and order fractions because when doing division between different groups or classes it is easy to determine their share and so on.
Step-by-step explanation:
Suppose we have two fractions 1/2 and 1/3 . And suppose we have two cakes of equal sizes. We cut the first cake into 2 equal parts and the 2nd cake into three equal parts.
Now comparing both the cakes the cake with two pieces will have a larger piece as compared to the cake having three pieces.
So 1/2 > 1/3
or half of the cake is greater than one third of the cake.
The larger denominator means a smaller fraction because it shows greater number of divisions. Like wise a fraction with smaller denominator is a larger fraction as it shows smaller number of divisions.
It is helpful to know how to compare and order fractions because when doing division between different groups or classes it is easy to determine their share and so on.
It can be employed between the different groups and to find different rates / scores or for statistical calculations etc.
In finding the order of division and so on.
M is the midpoint of CF for the points C(3, 7) and F(5, 5). Find MF.
NEED HELP FAST
the submarine is at a depth of -166 2/7 feet when the scientists detect a signal frequency from the ocean floor. they dive farther down to a depth of -180 4/7 feet to check the signal. the net change in their depth is [] feet
Answer:
-24 2/7
Step-by-step explanation:
-180 4/7 -166 2/7
-180 -166 = -24
4/7-2/7 = 2/7
-24 2/7
Answer:
I hope this helps
Step-by-step explanation:
Patty measured a house and its lot and made a scale drawing. In real life, the front patio is 14 meters wide. It is 2 cm wide in the drawing. 1 cm is equal to how many meters?
For the function y=7−3x, what is the ordered pair for x=5?
Answer:
The ordered pair is (5,-8)
Step-by-step explanation:
Here, we are interested in writing the ordered pair for x = 5
We need to get y.
We can get y by substituting into the given equation;
y = 7 - 3(5)
y = 7-15
y = -8
The ordered pair is (5,-8)
If the area of a rectangle is 6m², then the dimensions must be 2 meters by 3 meters. True or False?
Answer:
true
Step-by-step explanation:
You work in a grocery store warehouse recording shipments. A driver delivers 25 crates of strawberries for distribution. A store calls needing seven crates of strawberries. After you fill this order, how many crates of strawberries are available for other stores?
Answer:
18 crates
Step-by-step explanation:
Data provided in the question
The Number of strawberries for distribution delivered is 25 crated
Now he seven crates is required
So the remaining crates left is
= 25 - 7
= 18 crates
hence, after filling the order the number of order crates of strawberries is 18 crates and the same is to be considered
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
Answer:
$ 2.30
Step-by-step explanation:
Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]
The cost of the book is $ 12.99.
So, the tax on the book= 8.5% of 12.99
[tex]= \frac {8.5}{100}\times 12.99[/tex]
=1.10
So, the sales tax on the book is $ 1.10.
The cost of the video game is $ 39.99.
So, the tax on the book= 8.5% of 39.99
[tex]= \frac {8.5}{100}\times 39.99[/tex]
=3.30
So, the sales tax on the book is $ 3.40.
The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30
So, the tax on the video game is $ 2.30 more than then tax on the book.
Find the missing measure for Angle E.
m ∠ E =
Step-by-step explanation:
40°+63°+e=180°
103°+e=180°
e=180°-103°
e=73°
if y =32 when x =8 find y when x =30
Answer:
y = 120
Step-by-step explanation:
If y = 32 when x = 8, then y is 4 times the number of x. If x = 30, then (4)30 = 120.
¡¡. PLEASE HELP !!!!
Doug's Pizza Shop sells pizza for $12plus $3per topping "t". Jake'sPizza Shop sells pizza for $17plus $2per topping "t". Write an equation that willtell you how many toppings need to be on a pizza from each pizza place to make their pizza the same price.
Answer:
5 toppings
Step-by-step explanation:
Given that :
Doug's pizza:
Sales price of pizza :$12 plus
Topping (t) = $3 per topping
Jake's pizza:
Sales price of pizza :$17 plus
Topping (t) = $2 per topping
To make their pizza the same price, how many topping needs to be on a pizza of each
12 + 3t = 17 + 2t
3t - 2t = 17 - 12
t = 5
5 toppings each
PLEASE ANSWER!!! Assume the angles marked as 60 degrees measure 55 degrees instead, and the angle marked 43 degrees measures 50 degrees instead. Determine the measures of other angles. How do you find the answer for angles D and E?
Answer:
D is 85° and E is 95°
sorry I found it easier to write on paper.
help me I will give brainiest
Answer:
the first one is .... X = - 25/2
the second one is .... X= -3
Step-by-step explanation:
have a nice day!!!
Answer:
the second one is .... X= -3
But the other guy was wrong, the first one is -25/2 not -25/5
Step-by-step explanation:
m=−8j−9k+9
k=m+8j−9−9
k=m−8j−9
k=m−8j+9−9
k=m+8j−9
Answer:
B
Step-by-step explanation:
Dude trust me
Two equations are shown: I will give 40 pts if someone answers
Equation 1: (x – 12) = 12
Solve each equation.
Answer:
x and y both equal 24
pair that describes <2 <3
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
PLSS HELPP
Choose the equation for the line in slope-intercept form.
A y=2x+3
B y=1/2x+3
C y=1/2x−3
D y=−1/2x−3
Answer:
C or D, they look the same
Step-by-step explanation:
1. The graph passes through (2, -4) and (6, 0). You can use the rise over run formula to find the slope, so if you were to use the line to draw a triangle it would go to the right 2 spaces and up 1. Therefore the slope is 1/2.
2. Then you just need to see where the line crosses the y-axis (the vertical line). You can see here that it crosses at (0, -3).
3. Writing it in slope-intercept form is y = mx + (or -) b. Soooooo it would be y = 1/2x -3.
I hope this helped!
david works mowing lawns and babysitting. He earns an hour for mowing and an hour for babysitting. How much will he earn for hour of mowing and hours of babysitting?
Step-by-step explanation:
please state the amount and the times he's supposed to work rephrase the question please
Answer:
$41.10
Step-by-step explanation:
1 hour of mowing=$7.10
5 hours of baby sitting= $6.80×5=$34
TOTAL=$7.10+$34=$41.10
Evaluate
7/8
×
16/35
Give your answer in its simplest form.
Answer:
2/5 thats the answer i think
Answer:
2/5
Step-by-step explanation:
[tex]\frac{7}{8}[/tex]×[tex]\frac{16}{35}[/tex]
7×16=112
8×35=280
Simplify:
[tex]\frac{112}{280}[/tex] 112÷4=28 280÷4=70
[tex]\frac{28}{70}[/tex] Continue simplifying → 28÷2=14 70÷2=35 14/35 continue simplifying 14÷7=2 35÷7=5 2/5 You cannot continue simplifying.
So, [tex]\frac{2}{5}[/tex] is the answer.
Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish
Answer:
19 days
Step-by-step explanation:
305 - 115 = 190
190 ÷ 10 = 19