After taking the least common multiple of their denominator, the addition of the fraction we get [tex]6\dfrac{3}{16}[/tex] .
The given expression is,
[tex]4\dfrac{9}{16} + 1\dfrac{5}{8}[/tex]
To add this fraction,
Convert the mixed fractions into an improper fraction
Therefore,
The first fraction we can write:
[tex]4\dfrac{9}{16} = \dfrac{16 \times4 + 9}{16}\\\\= \dfrac{73}{16}[/tex]
And the second fraction we can write
[tex]1\dfrac{5}{8} = \dfrac{8 \times 1 + 5}{8}\\\\ = \dfrac{13}{8}[/tex]
Now the given expression can be written as,
[tex]\dfrac{73}{16} + \dfrac{13}{8}[/tex]
To add these fractions take LCM of the denominators,
So, the LCM of 16 and 8 is 16,
Then,
[tex]\dfrac{73}{16} + \dfrac{13}{8}[/tex] [tex]= \dfrac{73 + 13 \times 2}{16}[/tex]
[tex]= \dfrac{99}{16}[/tex]
Now Divide 51 by 16:
16 ) 99 ( 6
- 96
3
Thus, the fraction,
[tex]\dfrac{99}{16} = 6\dfrac{3}{16}[/tex]
Hence the addition of the fraction,
[tex]1\dfrac{9}{16} + 1\dfrac{5}{8}[/tex] [tex]= 6\dfrac{3}{16}[/tex]
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Mr. Thaxton has two daughters. The sum of their ages is twenty-one. The product of their ages is one hundred ten. How old is Mr. Thaxton's youngest daughter?
A.) 9
B.) 10
C.) 11
D.) 12
Answer:
the answer is 10
Step-by-step explanation:
Have no explanation
Answer:
B. 10
Step-by-step explanation:
B. 10 Hope this helps
I don't know the answer i need help ASAP!
Answer:
3
Step-by-step explanation:
The area of a triangle = 1/2 x base x height
The base here is 2 and the height is 3.
2 x 3 = 6
1/2 x 6 = 3
Answer:
3
Step-by-step explanation:
To find the area of a triangle you have to do 1/2 bh (one half times the base times the height). So when you do 3 x 2 (Since those are the side lengths) you would get 6 then divide by 2 to get 3.
Hope this helps :)
i need help with this question please!
Answer:
5.7 cm
Step-by-step explanation:
Triangle
Measurements: 9 cm, 14 cm, y cm
14 cm/2= 7 cm
a²+b²=c²
7²+b²=9²
49+b²=81
-49 -49
b²= 32
b= 5.656854249
y= 5.7
Answer:
Your answer is 11.4
Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.
What is the LCD of 4 1/6 and 5 4/7?
13
21
42
36
Answer:
LCD = 42
Step-by-step explanation:
Equivalent Fractions with the LCD
4 1/6 = 175/42
5 4/7 = 234/42
happy to help ya :)
find the single power of 10 for these equation
please help me!!!! :)
Answer:
Sorry I would love to zoom with you but I cant
Step-by-step explanation:
But I do REALLY hope you have a good day or night where ever you are in this wonderful world! <3
I would love to, but I have to sleep for school tmrw! Have a great day/night:)
The acceleration of segment D is____ m/s2.
Rank segments A, B, and C from least acceleration to greatest acceleration.
Least:
Greatest:
Answer:
It wont load sorry maeby try putting the question again maeby it will work or is it my end.
Step-by-step explanation:
Answer:
Step-by-step explanation:
a=dv/dt
A=15/1=15
B=5/1=5
C=0/2=0
D=-20/1=-20
So from least to greatest
-20, 0, 5, 15
D, C, B, A
I WILL GIVE YOU 100 POINTS IF YOU HELP ME ON THIS PLEASE ASAP!
Answer:
4 is the answer. My previous answer got deleted.
2 x 4 divided by 2 = 4
Step-by-step explanation:
I don't get one-step and two-step equations, can someone explain? brainliest to the one that gave the best explanation
Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of the lines.
Answer:
x-y=-1
3x+y=9
Step-by-step explanation:
Please help me. pleaseeeeeee
Answer:
The area is 9 square units.
Step-by-step explanation:
The diagram shows that the square is 3x3 which means that the area is 9.
A personal trainer charges a one-time fee of AED 50 plus AED 30 for each
individual session. A fitness club charges a yearly fee of AED 250 plus AED 20
for each session with a personal trainer. Write and solve an equation to
determine for what number of sessions the costs will be equal
50 +30x
250+20x
20 sessions
lmk if you need the work
Answer: 20 classes/sessions.
Step-by-step explanation:
y=30x+50
y=20x+250
Question 1 of 10 Estimate 5/8 − 1/10 . A. 0 B. 1 /2 C. 1 D. 1 1/2
Answer:
I think that the answer is B.
Step-by-step explanation:
Hope this helps
Answer:
it b
Step-by-step explanation:
Washington Middle School is hosting a pancake breakfast fundraiser to raise money for a new outdoor field area. They will be organizing the ingredients into different cooking stations in order to prepare.
Answer:
Step-by-step explanation:
finish this
Body-ody-ody-ody-ody-ody-ody-ody
Ody-ody-ody-ody-ody-ody-ody (mwah)
Body-ody-ody-ody-ody-ody-ody-ody (ah, ah, ah ah)
Ody-ody-ody-ody-ody-ody-ody
Triangle \triangle A'B'C'△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime is the result of dilating \triangle ABC△ABCtriangle, A, B, C about point AAA by a scale factor of \dfrac23
3
2
start fraction, 2, divided by, 3, end fraction.
Determine whether each claim about the properties of \triangle ABC△ABCtriangle, A, B, C and \triangle A'B'C'△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime is true or false.
The shape of the image of ΔABC following a dilation by a scale factor of [tex]\dfrac{2}{3}[/tex] is the same as the shape of ΔABC but the sizes of the sides of ΔA'B'C' are [tex]\dfrac{2}{3}[/tex] smaller
The correct options with regards the given statements are;
The measure of ∠B and ∠B' are equal is TrueThe coordinates of A and A' are the same is TrueReasons:
The dilation lengths of the sides of ΔABC are AB, AC, BC
The given scale factor of dilation = [tex]\dfrac{2}{3}[/tex]
Therefore;
The lengths of the sides of ΔA'B'C' are [tex]\dfrac{2}{3} \cdot \overline {A'B'}[/tex], [tex]\dfrac{2}{3} \cdot \overline {A'C'}[/tex], [tex]\dfrac{2}{3} \cdot \overline {B'C'}[/tex]
Which gives;
[tex]\dfrac{\overline{A'B'}}{\overline{AB}}} = \dfrac{\overline{A'C'}}{\overline{AC}}} = \dfrac{\overline{B'C'}}{\overline{BC}}} = \dfrac{2}{3}[/tex]
Given that the ratio of the corresponding sides of ΔABC and ΔA'B'C' are equal, ΔABC is similar to ΔA'B'C' by triangle similarity theorem
Therefore;
∠A = ∠A', ∠B = ∠B', and ∠C = ∠C' by definition of triangle similarity
Which gives;
The statement; The measure of ∠B and ∠B' are equal is True
Second part;
The center of dilation of ΔABC is point A, therefore, the distance between point A and point A' following a dilation is zero
Therefore, given that there is no difference, we have;
The coordinates of point A = The coordinates of point A'
Therefore;
The statement, the coordinates of A and A' are the same is True
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Answer:
False
True
Step-by-step explanation:
A dilation multiplies the distance of every point from the center of dilation by the scale factor. So a dilation moves every point except the center of dilation.
Point A is the center of dilation, so the coordinates of A and A′, are the same.
Dilations multiply every length in the figure by the scale factor, so AB and A'B' do not have the same length.
What is the equation of the line?
y = 3 x + 3
y = three-fourths x + 3
y = four-thirds x + 3
y = 4 x + 3
Answer:
the y intercept is three
the gradient is also three
so.....
y=3x + 3
Step-by-step explanation:
HOPE THAT HELPS!!! :)
Please help me with this
Answer:
3/4 = 9/12
- 7/12 = 7/12
-----------------------
2/12
Step-by-step explanation:
first box = 9
second box = 7
last box = 2/12
Answer:
this can be solved by adding 1/4+1/5
Step-by-step explanation
plzz give explanation!!!!! PLZZZ I NEED HELP
PLEASSSSE HELP
Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)?
6 a minus 2 b + 11
6 a minus 4 b + 3
6 a minus 2 b + 3
6 a minus 4 b + 11
Answer:
D
Step-by-step explanation:
I need help ahhhhhh!
Answer:
y=1 and x=1
Step-by-step explanation:
they are just variables they don't mean anything because any number multiplied by 1 is that same number
EX: 57 x 1 = 57
21 x 1 = 21
hope that helped you!
Is t = 12 a solution to the inequality t ≥ 12
Yes or No
Answer:
Yes, it is a solution.
Step-by-step explanation:
Since t ≥ 12 means that t needs to be equal to or greater than 12, t = 12 works as a solution because it is equal to 12.
Solve for d. 2d + 8 = 24
Answer:
the answer is 8
Step-by-step explanation:
2 times 8 equals 16 16 plus 8 equals 24
Steve’s score in a card game is 5 points away from zero. Denia’s score is the opposite of Steve’s and is a positive value. What is Denia’s score?
Answer:
5
Step-by-step explanation:
i don't know could I get some help please.
Answer:
(-3, -11)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 7x + 10
y = -4x - 23
Step 2: Solve for x
Substitution
Substitute in y: 7x + 10 = -4x - 23[Addition Property of Equality] Add 4x on both sides: 11x + 10 = -23[Subtraction Property of Equality] Subtract 10 on both sides: 11x = -33[Division Property of Equality] Divide 11 on both sides: x = -3Step 3: Solve for y
Define original equation: y = 7x + 10Substitute in x: y = 7(-3) + 10Multiply: y = -21 + 10Add: y = -11Please help me verify it's correct(did i do the equation correct)?
Answer:
yes its right
Step-by-step explanation:
Describe the process of solving the following equation: 3x+5=17
please lol
Answer:
--
x = 2.3
Step-by-step explanation:
3 x + 5 = 17
- 5 = -5
------------------------
3x 7
----- = -----
3 3
-------------------------
---
x = 2. 3
DONT FORGET TO GRAPH IT!! ALL ANSWERS THAT DONT ANSWER MY QUESTION, WILL BE REPORTED!
Answer:
n ≥ 1/4
Step-by-step explanation:
I wish I could add a picture, but I can't, so you'll have to graph it by yourself.
PLEASE AWNSER FAST I DONT HAVE MUCH TIME LEFT I NEED EVERY QUESTION PLEASE PLEASE HELP WILL RATE 5 STARS AND THANK YOU AND BRAINLIEST JUST HURRY UP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
3:2
Step-by-step explanation:
i need help its line plots soooo yeah help pls
Answer:
B
Step-by-step explanation:
the line plot has an X to represent the amount of times the piece of data occurred I counted 2 x's
What is the radius of the table, rounded to the nearest half foot? ____ feet
Answer:
3.5 feet.
Step-by-step explanation:
r=C/2π
r=22/2π
r=22/6.28
r≈3.5