Answer:
11/8 or, 1 and 3/8
Step-by-step explanation:
First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!
Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)
Hope this helps! :)
In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5
36 more people preferred tea to coffee.
How many people were in the survey?
Answer:
45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.
Step-by-step explanation:
Let t be the people who prefer tea, and let c be the people who prefer coffee.
The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.
Also, we have 36 more people prefer tea than coffee, so we have c+36=t
Thus we have: 5(c+36)=9c
5c+180=9c
180=4c
c=45
c+36=t
45+36=81
The function of fx has been transformed to give go. Witch of the following functions represent gx?
Answer:
Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry
Step-by-step explanation:
y = 2 is a polynomial function.
True or false
Answer:
false
Step-by-step explanation:
One fourth of a number is added to one fifth of the same number. If the result is 18, find the number
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number.
[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]
[tex]\frac{9}{20} x=18[/tex]
[tex]x=18 \times \frac{20}{9}[/tex]
[tex]x=40[/tex]
If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40
Let the given number be represented by x
One-fourth of the number = x/4
One-fifth of the same number = x/5
One-fourth of the number is added to one fifth of the same number =
x/4 + x/5
The result is 18
This can be represented mathematically as:
x/4 + x/5 = 18
Simplifying the equation above
(5x + 4x)/20 = 18
Cross multiply
5x + 4x = 18(20)
9x = 360
x = 360/9
x = 40
The number = 40
Learn more on word problem here: https://brainly.com/question/21405634
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answer:
58
Step-by-step explanation:
First, find the interior angle adjacent to the angle GFD.
180 - (34+24) = 180 - 58 = 122
Now, the exterior angle = 180 - 122 = 58
hope this helps
10 ft
8 ft
Find the perimeter of this figure to the
nearest hundredth. Use 3.14
Answer:
48.56 ft
Step-by-step explanation:
==>Given:
A rectangular figure joined with a half circle with the following dimensions:
Length of rectangle (l) = 10ft
Width of rectangle (w) = 8ft
Diameter of the half circle (d) = the width of the rectangle = 8ft
π = 3.14
==>Required:
Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle
==>Solution:
Perimeter of rectangle = 2(l + w)
Perimeter of half circle = ½ of circumference of a circle = ½πd
Perimeter of the figure = 2(10 + 8) + (½*3.14*8)
= 2(18) + (3.14*4)
= 36 + 12.56
Perimeter = 48.56 ft (to the nearest hundredth)
Answer:56.56
Step-by-step explanation:
For the perimeter of a rectangle
P = 2 × (a + b)
P = 2 × (8 + 10)
P = 2 × 18
P = 36
For the perimeter of a semicircle
P = (pi × r) + (2 × r)
Diameter = 8
Radius = 8/2
Radius = 4
P = (3.14 × 4) + (2 × 4)
P = 12.56 + 8
P= 20.56
Perimeter of this figure
P = r + c
P = 36 + 20.56
P = 56.56
Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
The coordinates of rectangle ABCD are;
A = (-6, -2)
B = (-3, -2)
C = (-3, -6)
D = (-6, -6)
The coordinates of the image are;
A' = (-10, 1)
B' = (-7, 1)
C' = (-7, -3)
D' = (-10, -3)
We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3
For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3
For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3
For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3
Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
Evaluate the following expression
Answer:
Hope this is correct
Step-by-step explanation:
HAVE A GOOD DAY!
Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
liz buys 17 identical tickets for £208.25 estimate the cost of one ticket
Answer:
£12.25
Step-by-step explanation:
Using unit rate:
[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]
£12.25 should be the correct answer.
Hi. Can somebody help me with this problem
Answer:
draw a table and calculate the x axis and find the x intercept
Step-by-step explanation:
Answer:
The correct answer is ..
(-1,-2)
Step-by-step explanation:
First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)
Hope this helps!
- Quinn <3
given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
please explain while solving
Answer:
48Step-by-step explanation:
In the picture above
I hope it helps :)
A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters
Answer:
450
Step-by-step explanation:
Since we are estimating, we can round 596 to 600, and 77 to 75
So, we need to find 75%, or 3/4 of 600
600 * 3/4 = 150 * 3 = 450
Answer:
450 meters
Step-by-step explanation:
help me, please asap
Answer:
sup!
the answer is
a point on (0,-1) and (1,3)
Step-by-step explanation:
hope this helps
U 3 4
Lucy buys 7 kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350 g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.
Answer: 50%
Step-by-step explanation:
I'm converting 7kg to grams to make it easier. So £10 = 7000g
£1 = 7000÷10 = 700g
700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g
She sells a bag of 350g for 75p.
Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100
75p - 50p = 25p = change in cost
Percentage profit= [tex]\frac{25}{50}[/tex] × 100
= 50%
Using the quadratic formula, which of the following are the zeros of the quadratic equation below
Answer:
the answer for this question is D
Answer:
Correct answer is actually B
Step-by-step explanation:
I used someone’s answer with their work shown for my test
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
Harun and Anis have m boys and n girls. How many children do they have?
You don’t have to explain this just tell me the tight answer
Answer:
The triangles are similar by the AA similarity postulate
Step-by-step explanation:
The only thing we know is that the three angles are the same
70+30 +80 = 180 so the missing angle in each triangle is 80 in the first and 70 in the second
The triangles are similar by the AA similarity postulate
What is the length, in units, of segment CD?
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]
[tex] \sin(θ) = \frac{4}{5} [/tex]
[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]
[tex]θ = 53.1 \: (1d.p)[/tex]
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
[tex]ACD = 90 - 53.1 = 36.9[/tex]
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]
[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]
[tex]CD \cos(36.9) = 5[/tex]
[tex]CD = \frac{5}{ \cos(36.9) } [/tex]
[tex]CD = 6.25 units\: (3s.f)[/tex]
Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20
Answer:
8.12.15
Step-by-step explanation:
mark brainliest plz
Can I please get help with this?
m<TSU=85°
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
B
Which transformations could have taken place to
map ABC to A'B'C'
B"
a reflection and a dilation
a rotation and a dilation
C"
A"
a translation and a dilation
a reflection and a translation
C
Answer: C
Step-by-step explanation:
Translating A'B'C' to A''B''C'' doesn't change the position of the vertices and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.
.Reflecting the figure changes the position of the vertices so A and D can't be an answer choice.
Plz HELP!!!!!!!!!!!!!!!!!!!!!
They are Parallel, Intersecting, and perpendicular, if it's helpful let me know
I REALLY NEED HELP MY DAD YELLED AT ME
Answer:
2/3
Step-by-step explanation:
f(x)=g(x)
-3x+4=2
Add 3x
3x+2=4
subtract 2
3x=2
divide by 3
x=2/3
Answer:
x= 2/3
Step-by-step explanation:
The value where f(x) = g(x) is where the two functions intersect
That would be at
f(x) = g(x)
-3x +4 = 2
Subtract 2 from each side
-3x = -2
x = 2/3
We know the y value. Substitute x into the equation
g(2/3) = 2
y = 2
The point is (2/3,2)
Help a chick out only if u know what u doing
Answer:
for 12:00 1 for 1:00 2
Step-by-step explanation:
this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2
edit: is it right? if it is, may I have brainliest?
so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate
Answer:
see below
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ (4*1+3)/4
90/7 ÷7/4
Copy dot flip
90/7 * 4/7
360 /49
The exact answer is 7 17/49
To estimate I would round 49 to 50 and 360 to 350
350/50 is approximately 7 and since I rounded the numerator down and the denominator up, the answer would be a little higher
if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
Answer:
(f+g) (x)=4x^2+3x/2-7
Step-by-step explanation:
f(x)= x/2-3 and g(x)=4x^2+x-4
(f+g) (x)=?
(f+g) (x)=f(x)+g(x)
(f+g) (x)=x/2-3+4x^2+x-4
combining like terms
(f+g) (x)=4x^2+x/2+x-3-4
(f+g) (x)=4x^2+3x/2-7
hope it helps. Brainliest please
When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer
all the numbers are roots and powers
Answer:
14
Step-by-step explanation:
We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.
Let us expand all brackets:
[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]
The exponent of b is 14.