Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B) 3:24
D) 5:40
E) 7:56
Step-by-step explanation:
3x8= 24
3:24= 1:8
5x8= 40
5:40= 1:8
7x8= 56
7:56= 1:8
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given:
In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G is 110 degrees.
To find:
The measure of angle FEG.
Solution:
Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.
Using extrior angle theorem in triangle EFG, we get
[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]
[tex]5x+6x=110^\circ[/tex]
[tex]11x=110^\circ[/tex]
[tex]x=\dfrac{110^\circ}{11}[/tex]
[tex]x=10^\circ[/tex]
Now,
[tex]m\angle FEG=5x[/tex]
[tex]m\angle EFG=5(10^\circ)[/tex]
[tex]m\angle EFG=50^\circ[/tex]
Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.
Kelly buys 4 7··8 pounds of apples and 2 3··8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work
Answer:
7 1/4 pounds
[tex]4\frac{7}{8} + 2\frac{3}{8}[/tex]
[tex]6\frac{7 + 3}{8}[/tex]
= [tex]6\frac{10}{8}[/tex]
convert the improper fraction to a mixed fraction
10/8 = 1 2/8 = 1 1/4
Add the 1 1/4 to 6 = 7 1/4
Step-by-step explanation:
Kelly buys 4 7/8 pounds of apples and 2 3/8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work
please help 20 points
Which shape has no parallel sides? (2 points)
Group of answer choices
a quadrilateral with one small square in each of the four corners, and arrows going in the same direction for each of the opposite sides
a quadrilateral with one small square in each of the four corners, and single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
a quadrilateral with sides of different lengths
a quadrilateral with single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
Option (C) is the correct option.
What is quadrilateral?"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".
For the given situation,
From the definition, a quadrilateral with sides of different lengths has no parallel sides.
Hence, option (C) is the correct option.
Learn more about quadrilaterals here
https://brainly.com/question/26843538
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A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
Answer:
9.91%
Step-by-step explanation:
cost price= 400
selling price=444
profit made= 444-400
= 44
profit percentage= 44/444 ×100
=9.91%
What is the area of
28
105
38.5
49
Answer:
105
Step-by-step explanation:
11×14= 154
7×7= 49
154-49= 105
Answer:
105 is ur answer!
you're welcome lol
A student number system for a county requires that the student number be 5
characters. The first character is a consonant, the second through the fourth characters can be any digit but no digit can repeat and the last character must be a
letter. How many unique student numbers are possible?
546,000 student numbers
393,120 student numbers
302,400 student numbers
468,000 student numbers
Answer:
B
Step-by-step explanation:
First Character: 21 consonant
2nd 3rd and 4th: 10* 9* 8 = 720
Last Character: 26
Total Ways 21 * 720 * 26 = 393120
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?
A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00
A.5,8 and 4,5
B.5,8 and 4,3
C. 4,5 and 4,3
Answer: I think it's D.
Mike forgot to have someone water his plants while he was on vacation. The
plant was originally 30 inches tall. When he came back, part of the plant was
dead, so he had to cut off the top. Now it is only 24 inches tall. By what
percent did the plant's height decrease?
Answer:
6 percent?
Step-by-step explanation:
.
Mary typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if she took the shortcut shown below PLSSSS HELPPPP
Permutations acellus How many ways can 4 books be arranged on a shelf if there are 8 books to chose from? Note: nPr = n! —— (n-r)!
Answer:
1680 ways
Step-by-step explanation:
From the question,
nPr = n!/(n-r)!.................. Equation 1
Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.
Given: n = 8 books, r = 4 books.
Substitute into equation 1
8P4 = 8!/(8-4)!
8P4 = 8!/4!
8P4 = (8×7×6×5×4!)/4!
8P4 = 1680 ways.
Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways
Cuál es la fuerza total que ejerce 3 personas empujando una carreta? F1 = 30 N, F2 = 45 N, F3 = 38 N?
Respuesta:
113 N
Explicación paso a paso:
Las fuerzas ejercidas se dan como:
F1 = 30 N
F2 = 45 N
F3 = 38 N
A partir de los valores de las fuerzas ejercidas, podemos observar que todas las fuerzas están en la misma dirección; Dado que la fuerza total ejercida es un sol de las 3 fuerzas:
F1 + F2 + F3
(30N + 45N + 38N) = 113 N
What is the 4th equivalent fraction to 1/2?
Step-by-step explanation:
For example, 2/4 and 3/6 both are equal to ½.
...
Equivalent Fractions Chart.
Unit Fraction Equivalent Fractions
1/2 2/4, 3/6, 4/8..
1/3 2/6, 3/9, 4/12..
1/4 2/8, 3/12, 4/16..
1/5 2/10, 3/15, 4/20,
Answer:
500/1000
Step-by-step explanation:
if you happen to simplify you will get 1/2. hope it helps.good day
Find X.
Someone please help me lol !
Answer:
x = 9
Step-by-step explanation:
Formula
The secant and tangent lines bear the following relationship
(tangent line )^2 = the outside secant line * length of the whole line
Givens
tangent line = 15
outside secant line = x
length of whole secant line = x + 16
Solution
15^2 = x ( x + 16)
15^2 = x^2 + 16x
225 = x^2 + 16x
x^2 + 16x - 225 = 0
Answer and Discussion
The equation has two factors.
(x - 9)(x + 25) =0
x + 25 has no meaning. There cannot be a negative length in this level of geometry.
The answer is x - 9 = 0
x = 9
please with this problem I'm not sure what to put
..............
Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4
cups of blueberries, how many smoothies can she make?
plz help quick
Answer:
10 smoothies
Step-by-step explanation:
because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.
Why is the median better to represent the data of a stem and leaf plot? I NEED THE ANSWER NOW PLSSSS
Answer:
The median value is better because it is not affected by the skewness of the data
Step-by-step explanation:
The median is better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example: for a downward skewed stem and leaf plot the value of the median is greater than the mean value
Hence the median value is a better representation of the central tendency
Make “a” the subject of the following formula
y + az = z
1) Matthew can run of a mile in of an hour. What is the unit rate?
There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21 adults, 35 adults, and 56 adults.
Answer:
21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children
Step-by-step explanation:
In other words, every 7 Adults creates a set of 3 Children
In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.
For 35 adults, 35/7 gives us 5 sets
Therefore 5x3= 15 Children
Finally, 56 adults. 56/7= 8 sets
Therefore 8x3= 24 Children
Hope this helps and goodluck. Feel free to post more questions.
What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]
Answer:
402.1
hope it helps
please mark Brainliest
Please help, I've been stuck on this question for an hour!
Answer:
18 inches
Step-by-step explanation:
What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
One airplane is approaching an airport from the north at 164 km/hr. A second airplane approaches from the east at 271 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 17 km from the airport.
Answer:
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Step-by-step explanation:
The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:
[tex]r^{2} = x^{2}+y^{2}[/tex] (1)
Where:
[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.
[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.
By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:
[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
Where:
[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.
[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.
If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\dot r \approx -316.760\,km[/tex]
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Vinay bought a pizza and cut it into three pieces. When
he weighed the first piece he found that it was 7g lighter
than the second piece and 4g.heavier than the third piece.
If the whole pizza weighed 300g. How much did each of
the three pieces weigh?
(Hint: weight of first piece be 'x' then weight of second
piece is 'x + 7', weight of the third piece is 'x - 4')
Answer:
x + x + 7 + x -4 = 300
3x = 297
x = 99 First Piece
x2 = 106 Second Piece
x3 = 95 Third piece
Step-by-step explanation:
Find the value of v (velocity) and V (volume) from the following equations.
a) v = u + at
Where u = 40, a = - 6, t = 4
( PLEASE HELP FAST)
Answer:
16m/s
Step-by-step explanation:
Given data
u = 40,
a = - 6,
t = 4
Let us substitute into the given expresssion to find v
v = u + at
v = 40+ -6*4
v= 40+ (-24)
v= 40-24
v= 16m/s
Mary is applying for a credit card. Which of the following will not determine if she has a high credit limit or not.
A. Credit score
B. Payment history
C. Salary
D. Age
Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?
Answer:
5.375 quarts
1.625
Step-by-step explanation:
determine amount of quarts of latex per square feet = 5/200 = 0.025
quart for 215 = 0.025 x 215 = 5.375 quarts
quart for 65 = 65 x 0.025= 1.625