Answer:
1 1/2 (mixed)
3/2 (improper)
Step-by-step explanation:
When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.
good luck :)
3/2
is the answer to this question
How would I reduce this to lowest terms?
Since "a" is on the top and the bottom, you can simplify that
[tex]\frac{a^2b^2}{ac}[/tex]
[tex]\frac{ab^2}{c}[/tex]
2. Tania went to Italy. She changed £325 into euros (€). The exchange rate was £1 = €1.68 (a) Change £325 into euros (E).
Answer:
£325 is €546
Step-by-step explanation:
325 times 1.68 is 546
You draw a rectangular picture that is 8.5 inches wide. It is 3 times as long as it is wide. What
is the area of the picture?
Answer: 216.75 in^2
Step-by-step explanation: area = 8.5 x (8.5x3)
8.5 x25.5
Can someone please help
Answer:
41
Step-by-step explanation:
an = a1 + (n-1)d
a_n = the nᵗʰ term in the sequence = 10
a_1 = the first term in the sequence = 5
d = the common difference between terms = 4
a10 = 5 + (10-1)4
a10 = 5 + (9)4
a10 = 5 + 36
a10 = 41
The Chen family drove 345.6 miles on their vacation. They drove the same amount each day of the the 3 days. How many miles did they drive each day?
_____ miles
Answer:
115.2
Step-by-step explanation:
Take 345.6 miles and divide it by 3 getting your answer. Have a great day!
Please help!!!
Triangle ABC is similar to triangle PQR
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm
(a) Calculate the length of BC
(b) Write down an expression for y in terms of x
Check the picture
Answer:
5.5
3y = x
Step-by-step explanation:
→ Find the scale factor enlargement
12 ÷ 4 = 3
→ Divide 16.5 by 3
5.5
→ Write SF in terms of x and y
3y = x
The Length of BC is 5.5 cm and equation for y in terms of x is y = 3x
What are similarity in triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
According to question
Triangle ABC ≅ triangle PQR
where,
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm
According to the similarity rule
the same ratio of corresponding sides
therefore,
[tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} \\[/tex]
(a) Calculate the length of BC
[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]
⇒ [tex]\frac{4}{12} = \frac{BC}{16.5}[/tex]
⇒ [tex]\frac{1}{3} = \frac{BC}{16.5}[/tex]
⇒ BC = 5.5 cm
(b) Write down an expression for y in terms of x
we know , [tex]\frac{AB}{PQ} = \frac{AC}{PR} \\[/tex]
⇒ [tex]\frac{4}{12} = \frac{x}{y} \\[/tex]
⇒ [tex]\frac{1}{3} = \frac{x}{y} \\[/tex]
⇒ [tex]y=3x[/tex]
Hence, Length of BC is 5.5 cm and equation for y = 3x
To know more about similarity in triangles here :
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solve pls brainliest
Answer:
y=3
Step-by-step explanation:
12y-4y=8y
8y=24
÷8. ÷8
y=3
Find the radius when the area is 452.16 in^2
area = pi x r²
3,14 x r² = 452,16
r² = 144
r = 12
what is the perimeter ?
Step-by-step explanation:
the outer left side is also 50 ft.
in inner (upper) left side is also 13 ft.
the bottom line is 10+20+11 = 41 ft
this is all possible because all the angles are clearly right angles (90°).
so, the perimeter is
2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft
The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?
Answer:
22 feet
Step-by-step explanation:
The area of a circle is π · r².
So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.
Divide both sides by π to get r² = 121
Then, you take the square root of both sides to leave r = 11.
The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.
The diameter is 22 feet long.
A spinner is divided into four equal sections labeled A, B, C, D. After 50 trials, the spinner landed on A 14 times, on B 13 times, on C 7 times, and on D 16 times. If the spinner is spun again, what is the theoretical probability that it does not land on D?
Answer:
17/25
Step-by-step explanation:
P(not red)=Number of Skittles Not Red/Total Number of Skittles
HELP PLEASE IT'S DUE IN AN HOUR, I also need to understand it for future qs
Answer:
a)5.83cm
Step-by-step explanation:
You have to do 3² × 5² to get the length of AC (the diagonal length of the base of the rectangle) which is √70 or 5.83 rounded to 2 d.p.
not sure about the 2nd bit, but you may have to use trigonometry
PLEASE HELP WORTH 20 Point A is on line EB between points E and B, and ray A F forms adjacent angles EAF with a measure of 3x and FAB with a measure of 2x. Solve for x. X = 5° x = 18° x = 30° x = 36°
Answer:
x = 36
Step-by-step explanation:
Assuming that line EAF + FAB = 180, we can substitute the lines with their x values to become 3x + 2x = 180 = 5x
Then x = 180/5 = 36
The measure of x for the given angles is 36° so option (D) will be correct.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The angle is the measurement of the angular distance.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that A is in between of line joining by EB so EAB is a straight line and ∠EAB = 180°.
Now,
∠EAB = 180°
∠EAF + ∠FAB = 180°
3x + 2x = 180
5x = 180
x = 36°
Hence "The measure of x for the given angles is 36°".
For more about the angle,
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Big Ed’s car dealership is running a special on 2008 trucks. Big Ed offers financing at a rate of 6. 71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle. You are interested in a Car Crusher truck that costs $25,230. Not including the down payment, how much will you pay over the lifetime of the loan? a. $27,924. 84 c. $23,735. 88 b. $25,789. 32 d. $21,445. 50.
Answer:
Correct answer: a.
Computation:
{eq}\begin{align*} {\rm\text{Present}}\;{\rm\text{value}}\;{\rm\text{of}}\;{\rm\text{an}}\;{\rm{annuity}}\;
Step-by-step explanation:
Financing:
Financing is generally the method to provide funds to the business so that the business can grow its operations. There are generally two types of financing. These are: Equity financing and debt financing. In debt financing, there is no obligation and burden to repay the funds acquired by it. Debt Financing is comparatively Cheaper than the Equity Financing.So The Answer Is A
The amount that you pay over the lifetime of the loan is $21,445.5. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Big Ed’s car dealership is running a special on 2008 trucks.
Big Ed offers financing at a rate of 6.71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle.
You are interested in a Car Crusher truck that costs $25,230.
Not including the down payment, the amount that you pay over the lifetime of the loan will be
⇒ (1 - 0.15) × $25,230
⇒ 0.85 × $25,230
⇒ $21,445.5
More about the percentage link is given below.
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if a dining room is 3 meters long in real life and is 1 centimeter long in the drawing, what scale factor does the drawing use?
Answer:
1:300
Step-by-step explanation:
The graph of the function f(x) is shown.
Enter a value of x where f(x) and the equation y = 0.5x + 3 intersect.
Answer:
x = 2
x = -1.5
Step-by-step explanation:
The graph is of function f(x) = x²
Therefore, to find where the function intersects with y = 0.5x + 3,
equal the functions and solve for x:
⇒ x² = 0.5x + 3
⇒ x² - 0.5x - 3 = 0
Multiply both sides by 2:
⇒ 2x² - x - 6 = 0
Factor:
⇒ 2x² - 4x + 3x - 6 = 0
⇒ 2x(x - 2) + 3(x - 2) = 0
⇒ (x - 2)(2x + 3) = 0
Therefore:
(x - 2) = 0 ⇒ x = 2
(2x + 3) = 0 ⇒ x = -1.5
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
The numbers in this sequence increase by 40 each time 30, 70, 110, 150. The sequence is continued with the same rule. Which number in the sequence will be closest to 300?
The value in the sequence closest to 300 is 310
Arithmetic SequenceArithmetic sequence is a sequence where each term increases or decreases by addition or subtraction of a constant term
the first term a = 30
common difference, d = 40
which term is closest to 300 we solve like this
300 / 40 = 7.5 say 7
the 7th term, T7 is solved by
T7 = a + ( n - 1 ) d
T7 = 30 + ( 7 - 1 ) 40
T7 = 30 + 240
T7 = 270
checking for the 8th term to confirm the nearest
T8 = T7 + d = T7 + 40
T8 = 270 + 40
T8 = 310
therefore the 8th term is closest and the value is 310
Read more on Arithmetic sequence here:
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Which expression is equivalent to 7(4x + 2y)?
A) 42xy
B) 28x + 2y
C) 11x + 2y
D) 28x + 14y
Answer:
D) 28x + 14y
Step-by-step explanation:
7(4x + 2y)
Step 1: Distribute
(7 × 4x) + (7 × 2y)
Step 2: Simplify
28x + 2y
Answer:
[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
⇒ 7(4x+2y)
Multiply by expanding.
⇒ 7*4x=28x
⇒ 7*2y=14y
Then, rewrite the problem.
⇒ = 28x+14y
Hence, the correct answer is 28x+14y.I hope this helps you! Let me know if my answer is wrong or not.
Is (3, 28) a solution to 4x-y=-16
Answer:
Yes
Step-by-step explanation:
4(3) - 28 = -16
12= -16 + 28
12 = 12
Hope that helps!
Find the area of the unshaded region.
multiple choice group answers
565
555
530
560
please help.......................
Answer:
what are the options? the answer I got was a fraction 19/4
If (x − 5) is a factor of the polynomial function f(x) = 3x2 − 23x + 40, which of the following is another factor?
Answer:
3x-8
Step-by-step explanation:
Use synthetic division:
5 | 3 -23 40
____ 15 -40_
3 -8 | 0
Hence, another factor of the polynomial is 3x-8
Order these from least to greatest 69/10 , 6.99, 7.927, 6 8/9
Answer:
6 8/9 , 69/10 , 6.99 , 7.927
Step-by-step explanation:
[tex]\frac{69}{10} = 6.9[/tex]
[tex]6\frac{8}{9} = 6.8[/tex]
ylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), and 'r' is the radius which is squared, and 'h' is the height.
Plug in your values:
V = π[tex]r^{2}[/tex]h
V = 3.14(9^2) x 4
V = 3.14(81) x 4
V = 254.34 x 4
V = 1,017.36^3 feet or 1,017.36 cubic feet.
Find the measure of the missing angle
The two angles form a straight line and need to equal 180 degrees
180 - 61 = 119
The missing angle is 119 degrees
Answer 11-12 it’s ok if your don’t no one of them. Please do at least one. Thanks.
[11]
Equation: 180° - 75°
Measure: 105°
A straight line has an angle measurement of 180°. Since we have GFB, 75°, we can find EFB this way.
[12]
Equation: 90° - 40°
Measure: 50°
The little box in the angle shows that it is equal to 90°. Since they give us HGB, 40°, we can solve for EFB using this information.
Graph the line that represents the equation .
y = -2/3 x + 1
i really need ive tried multiple times and got it wrong every time
How can I know when a function is unfunctional?
Answer
When a input uses two outputs, say we have
5,6
5,8
3,4
6,2
9,1
Notice how 5 uses two instead of one meaning the function is unfunctional
Step-by-step explanation:
What is the least common multiple? 46 and 12?
Answer:
2
Step-by-step explanation:
multiples of 12: 1, 2, 3, 4, 6, 12 (we don't use 1 in LCM)
Start with 2: 46/2 = 23, so the least common multiple is 2