Answer:
30degrees
Step-by-step explanation:
The sum of angles of a triangle is 180
<A + <B + <C = 180
Substitute the given values
3x + x+10 + 6x = 180
10x + 10 = 180
10x = 180-10
10x = 170
x = 170/10
x = 17
Get <A:
<A = 3x
<A = 3(10)
<A = 30degrees
Hence the measure of angle A is 30degrees
A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.
Answer:
B is the better detergent
Step-by-step explanation:
If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.
The two laundry detergents B cleans better.
Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.
Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.
Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).
Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.
Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.
Hence, Out of the two laundry detergents, B cleans better.
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HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8
-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.
Cost of shoes $29.95
Markup: 20%
What is the new cost?
New cost = original price x (1 + markup)
New cost = 29.95 x ( 1 + 0.20)
New cost = $35.94
How many fewer 14 starfish are there than 16 jellyfish and 4 sharks
Answer:
6 fewer starfish
Step-by-step explanation:
16+4=20
20-14=6
6 fewer starfish are there.
plz hellp me plzzzzzzzzzz
Answer:
3n+6
Step-by-step explanation:
13 less than the product of a number and 6 is 5
Answer: Excuse me, what do you mean "and 6 is 5?"
Step-by-step explanation:
Can someone please help!!!!
Answer:
2/5
Step-by-step explanation:
since the denominators are the same, the question is basically -4+6, which is 2. But remember to include the denominator
5-4x=23
What's the value of x and please show your work.
Answer:
x = 9/2 or 4.5
Step-by-step explanation:
5-4x=23 |-5
5-4x-5=23-5
-4x=18 |*(-1)
4x=18 | /2
2x=9 |/2
x=9/2 or 4.5
Answer:
x = 4.5
Step-by-step explanation:
Subtract 5 from BOTH sides to start with:
5-5 = 0 (5 cancels out on left side) 23-5 = 18
New Equation: -4x = 18
Divide BOTH sides by -4
4 cancels out (x is left) 18/4 = 4.5
New: x = 4.5
How do you further solve this?
Answer:
x = ±√89-30 cos(55) (everything is under the radical)
and then plug the radical into a calculator and you get two answers:
x1= -9.39873
x2=9.39873
Step-by-step explanation:
i hope this helped :)
1 1/2k + 1/2 (18 + 16k)
help pls
Answer:
[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]
Another way to find slope is with the slope formula (y2-y1/x2-x1 find the slope of (3,2) (7,4)
Answer: 2/4=1/2
Step-by-step explanation: 4-2=2. 7-3=4
Answer:
1/2
Step-by-step explanation:
4-2=2
7-3=4
2/4
On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many people were surveyed?
1) 486
2) 870
3) 1,350
4) 2,025
Answer:
Answer is number 3
Step-by-step explanation:
a forest covers 47,000 acres. a survey finds that 0.2% of the forest is old growth trees. How many acres of old growth are there?
Answer:
9400
Step-by-step explanation:
I'm not really sure if this is right but I changed 0.2% to 1/5 and 1/5 is 9400. Hope this is right!
2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.
Answer:
25 presents.
Step-by-step explanation:
First subtract 2.7(4) from 30.
30 - 2.7(4) = 19.2 meters
Now, convert 19.2 into centimeters.
There's 100cm in 1m, so 19.2 meters can be found by doing:
19.2 x 100 = 1920 cm.
Now, do 1920 divided by 75:
1920/75 = 25.6
Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.
2x2 + 8x - 7 = 0
How to solve
x =(8-√120)/4=2-1/2√ 30 = -0.739
Step-by-step explanation: calculator
Answer:
2 x 2 +8x -7= 0
4+8x-7=0
-3+8x=0
8x=0+3
8x/8=3/8
x=3/8
x=0.375
Step-by-step explanation:
1.Multiply 2x2 to get 4
2.Calculate the difference between 4-7
3.Move the constant to the right side
4.Divide both sides of the equation by 8
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter
Answer:
Jamarcus is the better shooter
Step-by-step explanation:
Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50
Answer:
Tyrell
Step-by-step explanation
Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter
8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches
Answer:
71
Step-by-step explanation:
i just want to ask a question sorry for not being helpful
The price of an item has been reduced by 15%. The original price was $87.
Answer:
The new cost is $73.95
The discount was $13. 05
Step-by-step explanation:
Turn the % into a decimal so it would be 0.15.
Then multiply it to the total, 87 x 0.15 = 13. 05
so the discount subtracted $13.05 off of the original price.
87 - 13. 05 = 73.95
4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.
9514 1404 393
Answer:
a) see attachment
b) base: 4, height: 4√3
c) area: 16√3
Step-by-step explanation:
a) The figure is drawn in the attachment
__
b) The side lengths of a 30-60-90 right triangle have the ratio ...
1 : √3 : 2
Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.
__
c) The area is the product of base and height:
A = bh
A = 4(4√3) = 16√3 . . . . square units
Which sequence of transformations takes A to its image A'?
A. a translation 1 unit down followed by a reflection in the x-axis
B. a reflection in the x-axis, followed by a translation 1 unit down
C. a translation 3 units to the left, followed by a clockwise rotation 180 about the origin
D. a reflection in the y-axis, followed by a clockwise rotation 180 about the origin
Answer:
a
Step-by-step explanation:
hope this help mark me brainlist plz
The correct sequence of transformations takes A to its image A' is,
⇒ A translation 1 unit down followed by a reflection in the x-axis.
What is mean by Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
The sequence of transformations takes A to its image A'.
Now, We have;
The coordinate of A are (4, 5)
And, The coordinate of A' are (4, - 4)
Hence, The correct sequence of transformations takes A to its image A' is,
⇒ A translation 1 unit down followed by a reflection in the x-axis.
Learn more about the transformation visit:
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a. The sum of a number and one is equal to one added to the number.
plz help me i really beg of you!
Answer:
v = -122.5
Step-by-step explanation:
1: 2.3 + v/7 = -15.2
2: v/7 = -17.5
3: v = -122.5
Step 1: This is the given equation
Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v
Step 3: both sides of the equation were multiplied by 7 to get v = -122.5
Answer:
245 over 2
Step-by-step explanation:
just use a calculator and you should be able to get the question right
All the factors of 7 are also factors of 14. True or False?
Answer:
true
Step-by-step explanation:
You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you
construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many
Answer:
B. 1 triangle only!
Step-by-step explanation:
Since the angle and the sides are fixed!
s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8
Work out
s
when
t
=
0.4
Answer:
s inversely proportional 1/t
s=0.3, t=8
s=k/t
0.3=k/8
k=0.3×8
k=2.4
find s when t=0.4
s=2.4/0.4
s=6.0 or 6
999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6
=
$7.74
9
start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x
=
$7.74
9
start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9
=
$7.74
x
start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction
(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6
=
9
$7.74
start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction
(Choice E)
E
None of the above
Answer:
A= 6/x=9/$7.74
Step-by-step explanation:
Khan Academy
Solve for “z.”
Please help!
Answer: Z=5
Step-by-step explanation:
Solve the rational equation by combining expression and isolating the variable z
As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.
Answer:
about 30 km. If it wasn't estimated, it would be 30.8994048 km.
Answer:
12
Step-by-step explanation:
-5/12 - (-9/3)=
Help me please
Answer:
HOW T.F DO YOU NOT
Step-by-step explanation:
-5/12+3
2 7/12
UST CAUSE
Answer: -5/4
Step-by-step explanation:
