Answer:
-4/151
Step-by-step explanation:
We can find the slope by
m = (y2-y1)/*x2-x1)
= (3.6 - 4.8)/(2.65 - -42.65)
= (3.6 - 4.8)/(2.65 +42.65)
= -1.2 / 45.3
-4/151
Pete, Chris, and Dina realized that the number of A’s they each received on their report cards were in a ratio of 4:2:5. If Pete got 14 more A’s than Chris, how many A’s did Dina get?
Answer:
[tex]Dina= 35[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 4:2:5[/tex]
Peter = 14 more A's than Chris
Required
How many A’s did Dina get?
The order of the ratio is Peter: Chris: Dina
This implies that
[tex]Peter: Chris: Dina = 4:2:5[/tex]
Considering Peter and Chris
[tex]Peter: Chris = 4:2[/tex]
Let the number of Chris' A's be represented by A
This implies that:
Peter's = 14 + A
And as such;
[tex]14 + A : A = 4 : 2[/tex]
Convert ratio to division
[tex]\frac{14 + A}{ A} = \frac{4}{ 2}[/tex]
Multiply both sides by A
[tex]A * \frac{14 + A}{ A} = \frac{4}{ 2}* A[/tex]
[tex]14 + A = \frac{4}{ 2}* A[/tex]
[tex]14 + A = 2* A[/tex]
[tex]14 + A = 2 A[/tex]
Subtract A from both sides
[tex]14 + A-A = 2 A-A[/tex]
[tex]14 = A[/tex]
This means that;
Chris answered 14 while Pete answered 28 (14 + 14)
Considering Chris and Dana
[tex]Chris :Dana = 2:5[/tex]
Replace Chris with 14
[tex]14:Dana = 2:5[/tex]
Convert ratio to division
[tex]\frac{14}{ Dina} = \frac{2}{5}[/tex]
Cross Multiplication
[tex]Dina * 2 = 14 * 5[/tex]
Divide both sides by 2
[tex]\frac{Dina * 2}{2} = \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{70}{2}[/tex]
[tex]Dina= 35[/tex]
Hence, Dina had 35 A's
Solve (x +1 <4) n (X-8 >-7).
O x11
O {XIX<3 or x> 1}
O (all real numbers)
Answer:
[tex]1<x<3[/tex]
Step-by-step explanation:
Given
[tex](x +1 <4)\ n\ (X-8 >-7)[/tex]
Required
Solve
To start with, we need to solve the inequalities as separate entities
[tex](x +1 <4)\ n\ (X-8 >-7)[/tex]
[tex]x +1 <4[/tex]
Subtract 1 from both sides
[tex]x +1 -1 <4 -1[/tex]
[tex]x <4 -1[/tex]
[tex]x<3[/tex]
[tex]x-8 >-7[/tex]
Add 8 t both sides
[tex]x-8+8 >-7+8[/tex]
[tex]x >-7+8[/tex]
[tex]x >1[/tex]
[tex](x +1 <4)\ n\ (X-8 >-7)[/tex] becomes
[tex]x < 3\ n\ x>1[/tex]
This means that x is less than 3 and greater than 1;
In other words, x is 2
The expression [tex]x < 3\ n\ x>1[/tex] can be rewritten as
[tex]x < 3\ n\ 1<x[/tex]
Combining these results; we have
[tex]1<x<3[/tex]
I need helpppppppppppp
Answer:
The first one is 36 i think and the second is 28 i think
Step-by-step explanation:
Answer:
-√12x = -6i
√y-2x+7 = 1.41421356i
Step-by-step explanation:
Which equation represents a line parallel to the x axis, perpendicular to the y axis, and has a slope of 0?
A. y=4/5x + 5/4
B. y=5/4x
C. y=4/5
D. y=5/4
Answer: D
Step-by-step explanation:
The general linear equation is
Y = MX + C
Where M = slope and C = intercept
If a line is parallel to X axis,
the slope M = 0/x = 0
A line parallel to the x axis will be perpendicular to the y axis, and has a slope of 0
Substitutes slope M into the linear equation.
Y = C
If C = 5/4
Therefore, Y = 5/4
Answer:
i think that answer is d
Step-by-step explanation:
9. in professional baseball, each team plays 160 games.After playing half their games, team A has won 60and team B has won 49. If team A wins half of itsremaining games, how many of its remaining games
must team B win to have the same number of wins as team A?
Answer:
Step-by-step explanation:
N
What is the inequality of -3x-3<6
Answer:
x > -3
Step-by-step explanation:
-3x - 3 < 6
Add 3 to each side
-3x - 3+3 < 6+3
-3x < 9
Divide by -3 remembering to flip the inequality
-3x/-3 > 9/-3
x > -3
1 1/6 - 5/9 simplest form.
What is the measure of
A. 60°
B. 30°
ОО
C. 90°
D. Cannot be determined
Answer: 60ᴼ
Step-by-step explanation:
The sum of the angles equals 180ᴼ and there are 3 equivalent angles in an equilateral triangle. In an equilateral triangle, all 3 sides have the same length as well.
180 / 3 = 60
60ᴼ per angle
Translate the following into an expression: m% of n
Answer:
n(m%)
Step-by-step explanation:
By Translate the following into an expression: m% of n. Thus, the expression is 0.01mn.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to Translate the following into an expression:
m% of n
m x 1/100 x n = 0.01mn
Thus, the expression is 0.01mn.
Learn more about simplification;
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What is the distance between (6, -2) and (1, -2)
Answer:
5 units.
Step-by-step explanation:
For:
(X1, Y1) = (6, -2)
(X2, Y2) = (1, -2)
d=√(1−6)²+(−2−(−2))²
d=√(−5)²+(0)²
d=√25+0
d=√25
d=5
Hope this helped!
Kayla is going on a trip. The mass of everything she is packing is 8.1 kg. She packs everything into a bag that has a mass when empty of 710 g. What is the total mass of the bag and its contents?
Answer:
8.81 KG (8810 g)
Step-by-step explanation:
8.1 KG (8100 g) + 710 g
Answer:
8.810kg
Step-by-step explanation:
8.1 + .710g = 8.810kg
Marco has a sandbox that is 3 feet long, 5 feet wide, and
foot deep. How many cubic feet of sand does he need to fill the
sandbox completely?
Answer:
Choice D
Step-by-step explanation:
[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]
Hope this helps!
Cubic feet would be volume.
Volume = length x width x height
Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.
Plzzzzz help fast 3x + 2 =y y=8
Answer:
2
Step-by-step explanation:
3x + 2 =y y=8
3x + 2=8
3x=6
x=2
Answer:
x = 2
Step-by-step explanation:
3x + 2 = 8
3x = 6
x = 2
Pls mark as brainliest!!
Paula is 3 years older than
Lindsey, who is 2 years
younger than Dave. If Paula is
17, how old is Dave?
Answer:
16
Step-by-step explanation:
If Paula is 17, then Lindsey is 17-3 (14). Since Lindsey is 14, Dave is 2+14 (16), so Dave is 16
Answer:
16 years old
Step-by-step explanation:
Let Lindsey's age be x.
Paula's age be x+3
Dave age be x+2
If Paula is 17.
x+3=17
x=14
x+2
(14)+2=16
Dave is 12 years old.
What is the APR of a payday loan for $1400 due in 5 days that charges a $105
fee?
O
A. 5475%
B. 5.475%
C. 547.5%
O D. 54.75%
Answer:
C. 547.5% is the correct answer
Step-by-step explanation:
While you could figure it out with a step-by-step explanation, you already have the answer.
Choose the improper fraction that is equivalent to the mixed number 2 17/24
Answer:
31/24
Step-by-step explanation:
multiple 2 by 24, then add 17, which you get 31, and put it over 24
31/24
Need Help Please!!!!
Answer:
4ab and 3ab
Step-by-step explanation:
4ab and 3ab because they have the same variables a and b
What are the resulting coordinates of triangle D′E′F′ after reflecting triangle DEF across the y-axis? answers : A) D′(1,– 4), E′(3, –1), F′(5, –2) B) D′(–1, 4), E′(–3, 1), F′(–5, 2) C) D′(–1, 4), E′(3, 1), F′(5, 2) D) D′(–1, –4), E′(–3, –1), F′(–5, –2)
Answer:
the answer would be B
Step-by-step explanation:
by flipping it to the other side u will have the same numbers but some might be negative hoped it was right
Answer:
its B
Step-by-step explanation:
What is the simplest form of this expression?
(1-3)
w
Answer:
-2w
Step-by-step explanation:
If you distribute w with 1 and 3 you will get 1w - 3w. Since the variables are the same, then you subtract 1w from 3w which will give you -2 as the answer.
Which of the following describes the correct process for solving the equation 2x - 6 = 22 and arrives at the correct solution?
O Divide both sides by - 6, and then add 2. The solution is x = 8.
O Add 6 to both sides of the equation, and then divide by 2. The solution is x = 14.
O Subtract 6 from both sides of the equation, and then divide by 2. The solution is x = 7
O Add 6 to both sides of the equation, and then divide by 22. The solution is x = -14
Answer:
B). Add 6 to both sides of the equation, and then divide by 2. The solution is x = 14.
Step-by-step explanation:
The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
Learn more about Trigonometry here:
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Enter a positive common factor (other than 1) of the fractions numerator and denominator
Answer:
they both have 5 in common
if you were to reduce the fraction it would be 11/16 because
55 divided by 5 is 11 and 80 divided by 5 is 16
Step-by-step explanation:
Answer:
5 is one of the simplest common factors for this fraction.
4(3g + 2) simplify this expression
Answer:
Step-by-step explanation:
12g+8
Determine the length of AB .Write your answer in simplest form.
Answer:
Multiply to find your answer
Step-by-step explanation:
Answer:
AB= 4
Step-by-step explanation:
Big ideas :)
Calculate the mean, median and mode of the following data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12
a. mean = 14.75, median = 15 mode = 16
b. mean = 15, median = 16, mode = 16
c. mean = 14.889, median = 16, mode= 16
d. mean =15, median =15.5, mode = 16
Answer:
d.mean =15, median =15.5, mode = 16
Step-by-step explanation:
hello,
to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 150 (total sum) divided by 10 (number of numbers) to get 15.
to find the median, you would organize the numbers from least to greatest and find the middle number which is 15.5.
last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 16.
hope this helped!
You start school at 9:00 am, your doing work, an hour and 7 minutes has passed, what time is it now?
Answer:
10:07
Step-by-step explanation:
You add an hour so it is 10:00
Then you add 7 minutes
So the result is 10:07
Answer:
10:07 am
Step-by-step explanation:
9 am + 1 hr = 10 am + 7 mins = 10:07
If the cubic container had a volume of 1,728 in³, what would its dimensions be?
Answer:
12 inches × 12 inches × 12 inches
Step-by-step explanation:
Cube volume is [tex]s^3[/tex]
[tex]s^3=1728[/tex]
[tex]s=\sqrt[3]{1728}[/tex]
[tex]s=12[/tex]
Answer:
Dimensions = 12 inches
Step-by-step explanation:
[tex]Volume -of-a-cube = l^{3} \\V =l^{3}\\1728=l^{3}\\Cube-root-both-sides -of-the-equation.\\\sqrt[3]{1728} =\sqrt[3]{l^{3}} \\l = 12 inches[/tex]
Note , L= Value of one side
Evaluate the following:
Answer:
[tex]3\frac{17}{24}[/tex]
Step-by-step explanation:
[tex]14\frac{1}{6}-10\frac{11}{24}=\\\\\frac{85}{6}-\frac{251}{24}=\\\\\frac{340}{24}-\frac{251}{24}=\\\\\frac{89}{24}=\\\\3\frac{17}{24}[/tex]
14x6= 84/6
84/6 +1/6 = 85/6
10 x 24= 240/24
240/24 +11/24 = 251/24
85x 4 = 340
340-251= 89/24
3 17/24
A catcher's and a pitcher's uniform numbers are consecutive integers whose product is 306. If the catcher's was the smaller number, determine the uniform number of each player. catcher's number pitcher's number
Answer:
Catcher's number = 17
Pitcher's number = 18
Step-by-step explanation:
Let two consecutive numbers be represented by x and (x + 1)
Hence,their product
= x(x + 1) = 306
= x² + x - 306 = 0
We factorise
= x² + 18x - 17x - 306 = 0
= x(x + 18) - 17(x + 18) = 0
= (x + 18)(x - 17) = 0
x + 18 = 0 = -18
x - 17 = 0 = 17
x = 17 and -18
Our answer can't be a negative integer
Hence x = 17
The second consecutive integer = x + 1
= 17 + 1 = 18
Hence the uniform numbers are 17 and 18.
We are told in question that: If the catcher's was the smaller number, determine the uniform number of each player.
Therefore,
The Catcher's uniform number = 17
The Pitcher's uniform number = 18
Find the value of x.
Answer:
56°Solution,
[tex] \frac{114 - x}{2} = 29 \\ or \: 114 - x = 2 \times 29(cross \: multiplication) \\ or \: 114 - x = 58 \\ or \: - x = 58 - 114 \\ or \: - x = - 56 \\ x = 56[/tex]
hope this helps...
Good luck on your assignment..
