Let's set these two numbers as 'a' and 'b'
Now, let's set up equations based on the information known:
the sum of the two numbers is 52 --> a + b = 52the difference is 28 --> a - b =28Equations
a + b = 52 -- equation 1a - b = 28 -- equation 2Solve:
(Equation 1) + (Equation 2)
2a = 80
a = 40 -- equation 3
(Equation 3)
40 + b = 52
b = 12
So a = 40 and b = 12
Hope that helps!
8. John is welding a truss for a bridge. He determines the angles made by the sections he
welds together, so that the truss will be uniform. The top of the truss must be parallel to
the bottom of the truss. If an angled support makes a 125' angle with the top, what must
the measure of the interior angle on the same side of the transversal with the bottom
equal? (10.9 Mastery)
Answer:ohn is welding a truss for a bridge. He determines the angles made by the sections he
welds together, so that the truss will be uniform. The top of the truss must be parallel to
the bottom of the truss. If an angled support makes a 125' angle with the top, what must
the measure of the interior angle on the same side of the transversal with the
Step-by-step
Step-by-step explanation:
the rules of the angles of 2 lines intersecting each other.
that means the angles on one side of the first line sind the intersection point, are the same as on the other side of the line - just left-right interchanged.
and to have a third line, parallel to the first line, where the exact same angles have to be, where the second line intersects the third line (a parallel line is like a mirror image of the first line : every look and feel has to be the same).
and then remember : all angles around a single point in one side of a line must be together 180°.
so, if the support beam has an angle of 125° with the top "line", the second angle there (the exterior Angie at that point) is then 180 - 125 = 55°.
this is all at the bottom side of the top "line".
these angles are therefore left-right exchanged the same on the top side of the top "line". so, 55° and 125° instead of 125° and 55°.
these angles at the top of the top "line" must be now exactly the same at the top of the parallel bottom "line" of the truss.
so, the interior angle there is 55°. and the exterior angle is 125°.
Find the measure of x. PLEASE HELP ASAP. WILL MARK BRAINLIEST
Answer:
3.2 units to nearest tenth.
Step-by-step explanation:
cos 29 = x /3.7 (cosine = adjacent side / hypotenuse)
x = 3.7 * cos 29
= 3.236
What polygon is being constructed?
Answer: A Square
Step-by-step explanation: In the case of an equilateral triangle, just two circles are formed.
The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life of one form of rhodium, Rh-106, is about 30 seconds. If you start with 100 grams of Rh-106, how much will be left after 4 minutes?
Answer:
0.390625 grams
Step-by-step explanation:
can i get a second opinion on this
(2x + 3)3
I need help please
Answer:
6x+9
(2x+3)3
you would distribute 3 into 3 and 2x to get...
6x+9
plz help! how many zeros abs relative minimums does it have?
Answer:
The degree of f(x) is even, and the leading coefficient is negative. There are 3 real zeros, and 1 relative minimum values.
Step-by-step explanation:
We have the graph of f(x).
First, since both end behaviors are the same, our function must be an even-degree.
Second, since both end behaviors are going towards negative infinity, this means that the leading coefficient of our function must be negative.
The real zeros are whenever the graph touches or crosses the x-axis. We can see that this happens three times. I've circled them in blue in the image below.
Finally, relative minimum values are the lowest points in a graph, and then happen between a decreasing and then an increasing curve.
From, the graph, we only have one relative minimum value. This is circled in black in the image below.
Note that the arrows whether the curve is decreasing or increasing. We can see that the curve to the left of the minimum is decreasing, while the curve to the right of the minimum is increasing.
So, our solution is:
The degree of f(x) is even, and the leading coefficient is negative. There are 3 real zeros, and 1 relative minimum values.
And we're done!
Which graph represents a function 20 points
Answer:
the one on the bottom row is that graph that represents a function.
Step-by-step explanation:
What is the measure of the indicated angle?
Answer:
D. 63
Step-by-step explanation:
Corresponding angles are equal.
Answer:
the answer would be 63.
explanation:
the angles are corresponding therefor they are equal.
Is -7 +9 = -9 +7 true, false, or open? If you know all the answers to the qc please tell me
Answer:
-7+9=2
-9+7=-2
they both are equal to the same number so my answer to this question would be true.
hope this helps...
Adam is saving money to buy a new computer that costs $550. His mom has given him $100 to begin. Each week, he deposits money into his savings account. The table shows the balance after t weeks. Time (t) in weeks 0 1 2 3 4 Balance (b) $100 $125 $150 $175 $200 Write an equation to represent this situation.
Answer:
25t + 100 = 550
Step-by-step explanation:
Notice that for every week, the balance increases by $25. That means t will be multiplied by 25 like this: 25t
There is already $100 on top of that, so add 100 to it like this: 25t + 100
Since Adam is saving for a $550 computer, this sum has to equal 550
25t + 100 = 550
If you want to find out how many weeks it will take to get that computer, subtract 100 from both sides
25t + 100 = 550
- 100 - 100
25t = 450
Divide both sides by 25
25t/25 = 450/25
t = 18
It will take Adam 18 weeks to save up and buy that computer.
Answer:
oh its simple .
Step-by-step explanation:
just listen to whatever that guy above me told u .
Simplify will mark brainliest
Answer:
7529536[tex]m^{36}[/tex]
Is the Answer A, B, C, or D?
Answer:
A. [tex]f(x)=451(0.68)^x[/tex]
Step-by-step explanation:
Function [tex]f(x)=451(0.68)^x[/tex] best models the given data.
7) Tax on a $25 item is $2.06. What should be the tax on a $45
item?
7 pencils cost £5.95.
How much do 11 pencils cost?
Answer:
11 pencils cost £9.35.
Step-by-step explanation:
Given;
7 pencils = £5.95
1 pencil = 5.95 ÷ 7
= £0.85
Now,
11 pencils = 11 × 0.85
= £9.35
Answer:
9.35$
Step-by-step explanation:
to find the cost of 11 pencils first we need to find the price of 1.
5.95 divided by 7 = 0.85$ (the price of one pencil)
we need to find the price of 11 pencils though.
0.85x11= 9.35$
Write in the given rational numbers into the correct order line from least to gratest
-2/3, 7/8, -4/5 7/10, and -4/3
Pls hurry yall
Answer:
-4/3, -4/5, -2/3, 7/10, 7/8
solve both problems pls pls pls/
Answer:
1.) x=61 2.) c=62
Step-by-step explanation:
Answer:
x=61 c=62
Step-by-step explanation:
1)multiply both sides by seven
56=x-5 add 5 to both sides
61=x
2) multiply both sides by -3
63=c+1 subtract one from both sides
c=62
The population of grizzly bears in a remote area is modeled by the function P(t) = (200t - 120)/(t + 0. 5) where t = 1 1represents the year 2001 t = 2 represents the year 2002and so onthe model to predict the number of grizzly bears born in the year 2018. (Use the table from
[tex]P(t)=\cfrac{200t-120}{t+0.5}\qquad \qquad \stackrel{\textit{t=18 for 2018~\hfill }}{P(18)=\cfrac{200(18)-120}{(18)+0.5}}\implies P(18)\approx 188[/tex]
Write 4 5/8 as an improper fraction
Answer:
37/8
Step-by-step explanation:
4*8=32
32+5=37
Answer:
37/8
Step-by-step explanation:
First you would would muiliply the denomater my the whole number and then add the nummerater.
How do the absolute values of -12.5 and 11.5 compare?
Answer:
(−12.5) (11.5) = −143.75 Or -12.5 < 11.5
Step-by-step explanation:
hope this helps
Answer:
|-12.5|>|11.5|
Step-by-step explanation:
When you take the absolute value of a number you're essentially measuring the scalar value or magnitude of that number. "How big is that number as a number not as in + or -".
In other words the number becomes positive
|-12.5|=12.5
|11.5|=11.5
since 12.5>11.5
we can then say
|-12.5|>|11.5|
Which is a better deal?
40% off of a textbook that costs $89
OR a used copy of the same textbook for $39.99
40% off of a textbook that costs $89
= 89 - 89x40% = 53,40
so better to get the used copy for £39.99
Answer:
probably the $39.99 one it's a bit more cheaper
HELP! I have no idea how to answer this?!
Answer:
A train backed up 7 ft and then moved forward 7 ft
Step-by-step explanation:
When the train moved back 7 feet, it would be negative, -7. Then it went forward again 7 feet. The train is in the same place as it was before, 0.
(3x +4y)2 is equal to
Answer: 6x + 8y
Hope this helps!
Answer:
9x² + 24xy + 16y²
Step-by-step explanation:
(3x + 4y)²
= (3x + 4y)(3x + 4y)
each term in the second factor is multiplied by each term in the first factor.
3x(3x + 4y) + 4y(3x + 4y) ← distribute both parenthesis
= 9x² + 12xy + 12xy + 16y² ← collect like terms
= 9x² + 24xy + 16y²
increase Rs. 5252 by 20%
Answer:
6302.40
Step-by-step explanation:
STEP 1: Find 20 percent of 5252
[tex] \frac{20}{100} \times 5252 \\ = \frac{5252}{5} = 1050.4[/tex]
STEP 2: Add the result to the initial money
[tex]5252 + 1050.4 = 6302.4[/tex]
Hence, the answer is Rs. 6302.40
Select all of the possible degrees of this polynomial function
2
3
4
5
Answer:
3 and 5
Step-by-step explanation:
correct on edge 2020
Answer:
3 and 5
Step-by-step explanation:
it is correct on edge, also because the graph goes up and down and not a U shape the possible degrees will only be negative
A group of 83 students are visiting the National Aquarium in Baltimore. Volunteers lead tours for groups no larger than 5 students at a time. How many tour guides are needed so all 83 students are able to participate in a guided tour of the aquarium
Answer:
17 tour guides
Step-by-step explanation:
First, we need to divide 83 by 5.
83 ÷ 5 = 16 R 3As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.
Answer:
They need 17 tour guides
Step-by-step explanation:
If we divide 83 by 5, we would get 16.6, and since we can't have 16.6 tour guides, we round to the nearest whole number, which is 17.
To order for all students to participate, they would need 17 tour guides.
James has 858 feet of rope. There are 18 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?
Each team will receive
feet of rope.
Also simplify.
The buyer for a chain of stores purchased leather couches in bulk, paying $750 each. The stores will sell each leather couch for $1,275. What is the mark-up percentage?
Answer:
The mark-up percentage is 70%
Step-by-step explanation:
Let us revise the rule of the mark-up percentage
[tex]M=\frac{S-P}{P}[/tex] × 100%, where
M is the mark-up percentageS is the selling priceP is the purchasing pricelet us use this rule to solve the question
∵ The buyer purchased leather couches in bulk, paying $750 each
∴ P = 750
∵ The stores will sell each leather couch for $1,275
∴ S = 1,275
→ Substitute them in the rule above
∴ [tex]M=\frac{1275-750}{750}[/tex] × 100%
∴ [tex]M=\frac{525}{750}[/tex] × 100%
∴ M = 70%
∴ The mark-up percentage is 70%
Which of the following is most likely true? The mean and median are both in the interval 1–5. The mean and median are both in the interval 6–10. The mean is in the interval 6–10, and the median is in the interval 1–5. The mean is in the interval 1–5, and the median is in the interval 6–10.
What two numbers multiply to get -36 and add to get 5
Juana invests $1,500 in an account accumulating 3% interest according to the equation v=1500(1.03)^y, where v
represents the value of the account after y years. Marquez and Calvin invest the same amount of money at the same
rate. Marquez invests three years before Juana, and Calvin invests two years after Juana. By what factor would
Calvin's investment need to be increased to equal Marquez's investment at any time after Calvin's investment is
made?
A. 86.3%
B. 97.1%
C. 115.0%
D. 115.9%
Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let v represent the value of the account after y years. Hence:
For Juana:
[tex]v=1500(1.03)^y[/tex]
Marquez invests three years before Juana, Hence:
[tex]v'=1500(1.03)^{y+3}=1500(1.03)^y(1.03)^3=(1.03)^3*v=1.092727v[/tex]
Calvin invests two years after Juana. Hence:
[tex]v"=1500(1.03)^{y-2}=1500(1.03)^y*(1.03)^{-2}=(1.03)^{-2}v[/tex]
v' / v" = ((1.03)³ * v) / ((1.02⁻²) * v) = 1.159 = 115.9%
Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.
Find out more on exponential function at: https://brainly.com/question/12940982