Answer:
[tex]\boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for the sum of 2 fractions.}[/tex]
[tex]\large\underline{\textsf{What are Fractions?}}[/tex]
[tex]\textsf{Fractions are representations of rational numbers that can be represented as part}[/tex]
[tex]\textsf{of a whole number.}[/tex]
[tex]\underline{\textsf{What are the parts of a fraction?}}[/tex]
[tex]\textsf{Fractions have 2 parts, they're called the Numerator and the Denominator.}[/tex]
[tex]\frac{\sf Numerator}{\sf Denominator}[/tex]
[tex]\textsf{The Numerator represents the amount of equal parts a certain rational number}[/tex]
[tex]\textsf{has compared to the Denominator. The Denominator represents the total amount}[/tex]
[tex]\textsf{of parts that make a fraction equal to 1. If the Numerator is the same as the}[/tex]
[tex]\textsf{Denominator, then the fraction is just 1. If the Numerator is greater than 1, then}[/tex]
[tex]\textsf{this kind of fraction is considered an Improper Fraction, and improper fractions}[/tex]
[tex]\textsf{are fractions that are improper due to the Numerator being greater than the}[/tex]
[tex]\textsf{Denominator, which means these fractions shouldn't be represented as fractions,}[/tex]
[tex]\textsf{but there's nothing wrong with representing it as a fraction.}[/tex]
[tex]\textsf{Since we know what majority of fractions are, we may begin adding these fractions}[/tex]
[tex]\textsf{which are improper.}[/tex]
[tex]\large\underline{\textsf{How are we able to Add Fractions?}}[/tex]
[tex]\textsf{Adding Fractions is simply adding the Numerators together since the Denominator}[/tex]
[tex]\textsf{can't be changed, if so then the equation won't be equal.}[/tex]
[tex]\textsf{*Remember that when adding fractions we must have common denominators.}[/tex]
[tex]\textsf{This means that we should find the LCM (Least Common Multiple) of the}[/tex]
[tex]\textsf{Denominators.}[/tex]
[tex]\underline{\textsf{For our problem;}}[/tex]
[tex]\textsf{Since we already have Common Denominators, we are able to simply add the}[/tex]
[tex]\textsf{Numerators.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Add the Numerators together.}[/tex]
[tex]\tt \frac{\boxed{\tt 23}}{9} + \frac{\boxed{\tt 17}}{9} =\boxed{\tt \frac{40}9}[/tex]
[tex]\tt \frac{40}{9} \ \textsf{can be our final answer. However, since our sum is an Improper Fraction, it's}[/tex]
[tex]\textsf{greater than 1. Since 40 can divide into 9 about 4 times, our whole number will}[/tex]
[tex]\textsf{be 4, and the remainder will be our fraction.}[/tex]
[tex]\underline{\textsf{Explained in numerical;}}[/tex]
[tex]\tt \frac{40}{9} = \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{4}{9} = \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]*\tt \frac{36}{9} = \frac{4}{1}[/tex]
[tex]\textsf{These are called Whole Number Fractions.}[/tex]
[tex]\large\underline{\textsf{Hence;}}[/tex]
[tex]\tt \frac{23}{9} + \frac{17}{9} = \boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]\large\underline{\textsf{Learn more about Fractions;}}[/tex]
https://brainly.com/question/26180542
[tex]\textsf{This answer will give you a great review of how to turn word-form problems into}[/tex]
[tex]\textsf{fractions, and how to simpify those fractions.}[/tex]
Which type of correlation does this scatterplot show?
Which term has the definition "A relationship in which two variables change at the same rate
In AJKL, j = 75 cm, k = 23 cm and
Answer:
The length of side j is 11.85cm
Step-by-step explanation:
Given that
In triangle JKL,
Side k=LJ=3.7cm
To find side j=KL:
By using sine rule,
We can write as
Using property of triangle,
Thus,
The length of side j is 11.85cm
What is the answer to the following question?
Answer:
SAS similarity
Step-by-step explanation:
You have two side ratios and the angle between the sides with those ratios. The appropriate similarity theorem is SAS.
Find the area for each of the given shapes below. If a shape has shading, find the area of the shaded region only.
Answer:
a. 39 ft²
c. 2x² +11x +12
e. 35 yd²
Step-by-step explanation:
a.The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...
total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²
__
c.We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:
A = LW
A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure
__
e.The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.
A = 1/2(14 yd)(5 yd) = 35 yd²
Can someone check my answer?? PLEASE-
The length of a rectangle is six more than the width. If the perimeter of the rectangle is 40 ft, find the length of the rectangle.
A. 13 ft (what I think) ****
B. 7 ft
C. 23 ft
D. 17 ft
Answer:
the length of the rectangle is 13 ft.
Step-by-step explanation:
width of a rectangle x ft
length of a rectangle x+6 ft
the perimeter of the rectangle is 40 ft,
2(x+x+6) = 40
2x+6 = 20
2x = 14
x = 7
So the length of the rectangle is x+6 = 7+6 = 13 ft
congrats you're right (≧▽≦)!!
Answer:
The correct answer ia A)13 ft
Step-by-step explanation:
hope this helps
.I want a way to solve this question
Check the picture below.
so then γ ≈ 180 - 69 - 43, γ ≈ 68.
Which equation has the same solution as w / 3.9 = 3? A. w+0.6=1.9 B. w-0.6 = 11.1 C. w+1.03=2.93 D. w-1.03=8.24
The equation has the same solution as w / 3.9 = 3 is w+0.6=1.9
Given:
w / 3.9 = 3
cross multiply
w × 3 = 3.9
3w = 3.9
divide both sides by 3
w = 3.9 / 3
w = 1.3
Check all that applies
A. w+0.6=1.9
w = 1.9 - 0.6
w = 1.3
B. w-0.6 = 11.1
w = 11.1 + 0.6
w = 11.7
C. w+1.03=2.93
w = 2.93 - 1.03
w = 1.9
D. w-1.03=8.24
w = 8.24 + 1.03
w = 9.27
Therefore, the equation has the same solution as w / 3.9 = 3 is w+0.6=1.9
Learn more about equation:
https://brainly.com/question/2972832
23x25 = please help
Answer:
575
Step-by-step explanation:
23/4 = 5.75 times 100
Answer:
575
Step-by-step explanation:
23×25=575 so 575 would be your answer
Which equation correctly uses the law of cosines to solve for y? 92 = y2 + 192 – 2(y)(19)cos(41°) y2 = 92 + 192 – 2(y)(19)cos(41°) 92 = y2 + 192 – 2(9)(19)cos(41°) y2 = 92 + 192 – 2(9)(19)cos(41°) PLS HELP!!
Answer:
[tex]Fourth \: option: y^2=9^2+19^2-2(9)(19) cos(41°)[/tex]
[tex]The \: law \: of \: cosines \: to \: solve \: for \: one \: side \: is:[/tex]
[tex]c^2=a^2+b^2-2ab \: cos \: C[/tex]
We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)
In this case c=y, a=9, b=19, and C=41°, then:
[tex]y^2=9^2+19^2-2(9)(19) \: cos \: (41°)[/tex]
Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x. Please explain.
Answer:
so where does that line intersect the y axis? just plug in x=0 and you see y= -1. so (0, -1)
y = -x -1 is parallel because it has the same slope and goes through the right point
Which of the following is not considered a buying incentive?
a coupon
b. display
C. prize
d. rebate
Please select the best answer from the choices provided
A
B
C
D
=============================================
Explanation:
A buying incentive is anything that encourages any potential customers to become actual customers. Ideally, those people are repeat customers down the road as well (even if such buying incentives are no longer in place).
If someone sees a coupon or a rebate, then they'll be more likely to buy the item since the price is lower. A coupon is an immediate discount right on the spot, whereas a rebate is when you get a discount later on. A rebate means you have to mail in proof of purchase, and the company will send money back. These are two ways to apply a discount.
A third way to entice customers is to offer prizes. An example of this is a "buy one get one" sale (often abbreviated as BOGO). The company may lose money doing this, but they do so in the hopes of gaining new customers. Plus word of mouth tends to spread more often when such sales occur.
With everything discussed so far, this allows us to rule out choices A, C and D. They are all some kind of way to encourage potential buyers. Choice B is the answer because a display simply shows the price and any other relevant info to the product. Displays are neutral in the sense that they don't encourage a purchase and rather just convey information. When I mention this, I'm not talking about displays that advertise discounts or coupons.
[tex]2 log_{3}(8) - 3 log_{3}(2) [/tex]
what is the answer to the question
We have: 2log₃(8) - 3log₃(2) = 2log₃(8) - log₃(2³)
= 2log₃(8) - log₃(8) = log₃(8)
= 1,892789261 ≈ 1,9
ok done. Thank to me :>
Answer:
~1.8928 or 3log_3 (2)
Step-by-step explanation:
change 8 to 2^3 and move to front
=2*3log_3 (2) -3log_3 (2)
=6log_3 (2) -3log_3 (2)
with subtraction
=3log_3 (2)
approx with calculator
~1.8928
An office clerk earns $120 for two 4-hour work shifts. How much will she earn
for 15 hours of work?
Answer:
$225
Step-by-step explanation:
$120 for 2 4-hour shifts, $120 in 8 hours
$15 every 1 hour
Money for 15 hours: 15 x 15 = $225
The office clerk earns $225 for 15 hour of work .
What is unitary method?The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
According to the question
An office clerk earns $120 for two 4-hour work shifts.
i.e
In 2 * 4-hour work shifts office clerk earns = $120
or
In 8 hour work shifts office clerk earns = $120
Now ,
By using unitary method
In 1 hour work shifts office clerk earns = $[tex]\frac{120}{8}[/tex]
= $15
Therefore, for 15 hours of work shifts office clerk earns = $15 * 15
= $225
Hence, The office clerk earns $225 for 15 hour of work .
To know more about unitary method here:
https://brainly.com/question/23423168
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The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.
Answer:
width(w)= 20inches
Step-by-step explanation:
solution,
given,
perimeter of a rectangle (P)=68inches
length of rectangle= 14 inches
we know,
perimeter of a rectangle=2L + 2W
or,68=2×14+2×w
or,68-28=2w
or,40=2w
or,w=40÷2
or,w=20inches.
Heheh... uhm, yeah, I don't do best with algebraic questions-
Answer:it's a for sure I think
What is the slope of the line?
slope:change in x\change in y
1+3+5+...+X=441
X=?
Answer:
559
Step-by-step explanation:
One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?
please help me with this math problem please I need help
is 1.25 because you just add them together
I need help with this question
Answer: bro I don’t if this is correct but try 11+3i
guys help plzz i need your help
Answer:
it correct because i took this before
I need this soon pls
line passes through the points (4,-2) and the slope is 5/4 write an equation in slope intercept form
Answer:
y=5/4x -7
Step-by-step explanation:
Hope this helps!
Plz help me well mark brainliest only if correct!…
Please help me with this please
Four squirrels have 30 berries each. But before they start watching, two more squirrels join the group. They share the berries equally amongst themselves. How many berries will each squirrel get to eat?
Answer:
5
Step-by-step explanation:
4+2=6
30 berrys so you do 30/6=5
Given: Triangle ABC Prove: m∠A=64°
By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=64°.
Answer:
Given: Triangle ABC Prove: m∠A=64°
By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=150
Write the square root -10 in simplest radical form
Answer:
The square root of 10 is expressed as √10 in the radical form and as (10)½ or (10)0.5 in the exponent form. The square root of 10 rounded up to 10 decimal places is 3.1622776602
Step-by-step explanation:
hope this is correct
Is (-2,-6) a solution of y < 7+ + 8?
Answer:
rthrthrt
Step-by-step explanation: