Merek got the correct sum, but her decomposition of 347 is incorrect.
What is arithmetic?Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division.
Here,
Merek's mistake is that she incorrectly decomposed the two-digit numbers 47 into 40 and 7 instead of 30 and 17.
To add 260 and 347, we can align the digits vertically:
260
+ 347
-----
607
So, the sum is 607.
Merek decomposed 347 as 300 + 40 + 7, which gives:
260
+ 300
+ 40
+ 7
-----
607
So, Merek got the correct sum, but her decomposition of 347 is incorrect. She should have decomposed 347 as 300 + 40 + 7, or as 300 + 30 + 17, instead of 300 + 40 + 7.
Learn more about arithmetic here:
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You put $550 in an account that
earns 2.5% annual interest
compounded quarterly. In how many
years will you have $1200?
Help me, I need a step by step solution ASAP
Answer:
a)
[tex]x=-1\\x=-\frac{3}{4}[/tex]
b)
[tex]x=\frac{11}{6}[/tex]
Step-by-step explanation:
[tex]Formula: x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]
[tex]a)-4x^2+7x-3=0[/tex]
a= -4
b= 7
c= -3
[tex]x=\frac{-(7)\frac{+}{}\sqrt{(7)^2-4(-4)(-3)} }{2(-4)}[/tex]
[tex]x=\frac{-7\frac{+}{}\sqrt{49-48} }{-8}[/tex]
[tex]x=\frac{-7\frac{+}{}\sqrt{1} }{-8}[/tex]
[tex]x=\frac{7\frac{+}{}1 }{-8}[/tex]
------------------------------
[tex]x=\frac{7+1 }{-8}=\frac{8}{-8}=-1[/tex]
or
[tex]x=\frac{7-1 }{-8}=\frac{6}{-8}=-\frac{3}{4}[/tex]
------------------------------
[tex]b)36x^2-132x+121=0[/tex]
a= 36
b= -132
c= 121
[tex]x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-132)\frac{+}{}\sqrt{(-132)^2-4(36)(121)} }{2(36)}[/tex]
[tex]x=\frac{132\frac{+}{}\sqrt{17424-17424} }{72}[/tex]
[tex]x=\frac{132\frac{+}{}\sqrt{0} }{72}[/tex]
[tex]x=\frac{132\frac{+}{}0 }{72}[/tex]
------------------------------------------------
[tex]x=\frac{132}{72}[/tex]
[tex]x=\frac{132/6}{72/6}=\frac{22}{12}=\frac{11}{6}[/tex]
A straight line is drawn through the intersection of the two diagonals of a parallelogram. Prove that it exactly divides the parallelogram into two equal parts by area.
Answer:
Area of rectangle APQB = Area of rectangle DPQC
Where:
PQ is the line passing through the intersection of the diagonals of the parallelogram ABCD
Step-by-step explanation:
Here we note that a parallelogram is a quadrilateral with the two opposite sides equal, therefore, the diagonals each divides the parallelogram
Given the parallelogram ABCD with a point of intersection of the two diagonals = O
We are to prove that a line PQ passing through O divides the parallelogram into two equal parts;
The diagonals of a parallelogram bisect each other hence
OA = OC and OB = OD
Also ∠AOB = ∠COD (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOB ≅ ΔCOD (SAS congruence rule)
Area of ΔAOB = Area of ΔCOD
In ΔAOP and ΔCOQ, we have;
∠PAO = ∠QCO (alternate interior angles of a parallel line)
OA = OC (as above)
∠AOP = ∠QOC (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOP ≅ ΔQOC
Area of ΔAOP = Area of ΔQOC
From which we have by similarity;
ΔBOQ ≅ ΔPOD
Area of ΔBOQ = Area of ΔPOD
Hence area of rectangle APQB = Area of ΔQOC + Area of ΔCOD + Area of ΔPOD = Area of ΔAOP + Area of ΔAOB + Area of ΔBOQ
∴ Area of rectangle APQB = Area of rectangle DPQC there proved as required.
For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 4 pennies into his bank, how many pennies does Tara put into her bank?
Answer:
bruh its 16 pennies
Step-by-step explanation:
1 penny from same=4 pennies from tara
multiply both sides by 4
sam puts in 4 pennies and tara puts in 16
1x4=4
4x4=16
In triangle XYZ,
XY · cosY = XZ · cosZ.
Which of the following must be true about 4XYZ?
(a) It is a right triangle.
(b) It is an obtuse triangle.
(c) It is an acute triangle.
(d) It is an isosceles triangle.
(e) It is an equilateral triangle.
help !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)
Find the area of the trapezoid.
4 cm
7 cm
3 cm
3 cm
Answer:
35 square cm
Step-by-step explanation:
[tex]area \: of \: trapezoid = \frac{1}{2} (3 + 4 + 3) \times 7 \\ = \frac{1}{2} \times 10 \times 7 \\ = 5 \times 7 \\ = 35 \: {cm}^{2} [/tex]
Marco is going to a local fair. He spends $5 on admission to the fair. He wants to go on rides that cost $0.75 per ride. Write an inequality and solve it to find the maximum number of times Marco can go on the ride if he wants to spend at most $35
Answer:
(35-5) / 0.75 = amount of times he can ride.
30/0.75 = 40
Does this help?
Step-by-step explanation:
Please help. I don't understand.
Which interval for the graphed function has a local
minimum of 0?
[-3,-2]
[-2,0]
[1,2]
[2,4]
Answer:
Interval for the function has local minimum of 0 is [2,4].
Step-by-step explanation:
You need to find the local minimum of 0 in the given function's graph.
In mathematics, local minimum is a point on a graph whose value is less than all other points near it.
See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4
So, final answer is :
Interval for the function has local minimum of 0 is [2,4].That's the final answer.
hope it helps
Answer: D
Step-by-step explanation:
2,4
math question screen shot ( multiple choice)
Answer: A, C, and E
Step-by-step explanation:
Determine if these matrices are inverses by
calculating AB
B
12
AB =
LC21 C22
C12 =
C11 =
021
C22 =
inverses of one
So the matrices
another
Answer:
Now calculate BA:
d11= 1
d12= 0
d21= 0
d22= 1
Based on these results, you can conjecture that multiplying a matrix by its inverse IS COMMUTATIVE
Step-by-step explanation:
Egde
please help as soon as possible
Answer:
22
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
To find the mean you have to do the sum of all of the numbers divided by the number of days there are (in this case there are 5: Monday, Tuesday, Wednesday, Thursday, and Friday)
So,
23 + 18 + 24 + 15 + 25 = 105
Then,
105/5 = 21
Find the area of the irregular figure. Round your answer to the nearest hundredth if necessary.
Answer:
Step-by-step explanation:
Area of the figure = Area of semicircle + area of rectangle
Area of semicircle:
d = 14 mm
r = 14/2 = 7 mm
Area = (1/2)πr²
[tex]=\frac{1}{2}*\frac{22}{7}*7*7\\[/tex]
=11 *7
= 77 mm²
Area of rectangle:
length = 14 mm
Width = 10 mm
Area = length *width
= 14 * 10
= 140 mm²
Area of the figure = 77 + 140 = 217 mm²
Complete A,B for 2,3 for 12 points
See Explanation
Step-by-step explanation:
1)
[tex] d = r. t\implies r = \frac{d}{t} \\
d = r. t\implies t = \frac{d}{r} \\[/tex]
2).
[tex] C = 2\pi.r\implies r = \frac{C}{2\pi} \\
C = 2\pi.r\implies \pi = \frac{C}{2r} \\[/tex]
Answer:
2.
A. r=d/t
B. t=d/s(r)
3.
A. r=c/2(pi)
B. (pi)=c/2r
Step-by-step explanation:
Pretty easy once you have mastered Algebra and Geometry.
In the figure, angle D measures 31° and angle A measures 27°.
Answer:
Well, if the figure is a triangle than the missing side would be 122 degrees, if it is a square, then it would be 302 degrees.
Step-by-step explanation:
Hope this helps!
Which equation has no solition
Answer:
Inconsistent equations: No solutions
For instance, 3=3 is a identity equation. A equation like 3=5 is a conflicting equation, since 3 isn't equivalent to 5. On the off chance that during the time spent tackling a equation you end up with a conflicting equation (accepting you didn't commit an error), at that point the first condition has no arrangements.
Step-by-step explanation:
Math lovers helpppppppppppppppppppppppppppppppppp. I'll mark you the brainlest
Answer:
12.6 = RU
Step-by-step explanation:
Using trig functions
Sin theta = opp/ hyp
sin 37 = RU/ RN
sin 37 = RU / 21
21 sin 37 = RU
12.63811549 = RU
To the nearest tenth
12.6 = RU
Find the least common denominator (LCD) of
3
7
and
5
8
Answer:
56
Step-by-step explanation:
7 is a prime number
7*8 = 56
The least common denominator is 56
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
Answer:840
Step-by-step explanation:
Evaluate 2x + 5y for x = 12 and y = 6.
Answer:
54
Step-by-step explanation:
2x + 5y
Let x=12 and y = 6
2(12) + 5(6)
24+30
54
Answer:
54
Step-by-step explanation:
2x + 5y ( x = 12) ( y = 6)
2 ( 12 ) + 5 ( 6 )
24 + 30
= 54
Part 2/2 6-10
Im so tired and staring at a bright screen gives me a headache =/
Answer:
Step-by-step explanation:
the first 1 is lamarck
the second one is 1,3,4
then last one is the 4th one
What is the mean of the following numbers?
15, 10, 7, 12
A
15
B
11
10
D 12
the mean is 11, meaning the answer choice is B right?
Answer:
11
Step-by-step explanation:
plz mark me brainliest
Gregor is planting pea plants in his backyard. Some of the plants are tall and the rest are short. Some of the plants are yellow and the rest are green. The numbers of different plant types are in the ratio\[\text{Tall green}:\text{Tall yellow}:\text{Short green}:\text{Short yellow} = 8:5:2:1.\]If there are 1080 green plants, then how many total plants are in Gregor's yard?
Answer:
1728.
Step-by-step explanation:
It is given that The numbers of different plant types are in the ratio
Tall green:Tall yellow:Short green:Short yellow = 8:5:2:1.
Let the numbers of Tall green, Tall yellow, Short green:, Short yellow are 8x, 5x, 2x, x respectively.
Number of green plants [tex]=8x+2x=10x[/tex]
It is given that there are 1080 green plants.
[tex]10x=1080[/tex]
[tex]x=108[/tex]
Number of total plants [tex]=8x+5x+2x+x=16x[/tex]
[tex]16x=16(108)=1728[/tex]
Therefore, total plants are in Gregor's yard is 1728.
Which equation represents a nonproptional relationship
For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = 4?
One-eighth
One-half
2
32
Answer:
2
Step-by-step explanation:
The equation is p = 8/v.
If p = 4, then p = 4 = 8/v
Inverting both sides, we get
1/4 = v/8
Multiplying both sides by 8, we get:
2 = v
If the value of p is 4, then the value of V will be 2. Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
p = 8/V
If the value of p is 4, then the value of V will be
4 = 8 / V
V = 8 / 4
V = 2
Then the correct option is C.
More about the solution of the equation link is given below.
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A car travels at a constant speed for 45 minutes. During this time the car goes
48 miles. If the car continues at this same constant speed, write an equation that
models the number of miles, m, it will travel in t hours?
How far will the car travel in 7 hours ?
Answer:
IDK
Step-by-step explanation:
Answer: 308
Step-by-step explanation:
sorry if wrong............
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
Please help me I’m terrible at math.
Answer:
A) 200,000*0.75%=1500*100=150,000
B) 150,000 will be the birds population in 100 years
The equation below describes a parabola. If ais negative, which way does the
parabola open?
Answer:
Downwards
Step-by-step explanation:
Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.
