====================================
[tex] \large \sf \underline{Problems:}[/tex]
PROBLEM NUMBER 1: Solve 5x+2=22PROBLEM NUMBER 2: Solve 2x+5=12PROBLEM NUMBER 3: Solve 2x-5=7====================================
[tex] \large \sf \underline{Answers:}[/tex]
[tex] \large \qquad \qquad \bold{ \#1. \: x \: = \: 4}[/tex]
[tex] \large \qquad \qquad \bold{ \#2. \: x \: = \: \frac{7}{2} }[/tex]
[tex] \large \qquad \qquad \bold{ \#3. \: x \: = \: 6}[/tex]
====================================
[tex] \large \sf \underline{Solutions:}[/tex]
Problem Number 1:-[tex] \large\rm{5x \: + \: 2 \: = \: 22}[/tex][tex] \large\rm{5x \: = \: 22 \: - \: 2}[/tex][tex] \large\rm{5x \: = \: 20}[/tex][tex] \large\rm{x \: = \: \frac{20}{5} }[/tex][tex] \large\rm\green{x \: = \: 4}[/tex][tex] \therefore[/tex] The answer of you're problem is x = 4.
====================================
Problem Number 2:-[tex] \large\rm{2x \: + \: 5 \: = \: 12}[/tex][tex] \large\rm{2x \: = \: 12 \: - \: 5}[/tex][tex] \large\rm{2x \: = \: 7}[/tex][tex] \large\rm\green{x \: = \: \frac{7}{2} } [/tex][tex] \therefore[/tex] The answer of you're problem is 7/2.
====================================
Problem Number 3:-[tex] \large\rm{2x \: - \: 5 \: = \: 7}[/tex][tex] \large\rm{2x \: = \: 7 \: + \: 5}[/tex][tex] \large\rm{2x \: = \: 12}[/tex][tex] \large\rm{x \: = \: \frac{12}{2} } [/tex][tex] \large\rm\green{x \: = \: 6}[/tex][tex] \therefore[/tex] The answer of you're problem is x = 6.
====================================
Hope this helps!
PLEASE I NEED THIS FAST
Answer:
1. 2 + 3
2. -4 - 8
3. -4 + 8
4. -2 × 2
5. 24 ÷ 2
6. 3 - 8
7. 1 × 7
8. -7 ÷ -1
9. 36 ÷ 4
10. 3 × -3
you're welcome
Randall wants to make a prediction using a linear model with a correlation coefficient of -0.95.
Which statement best describes how accurate he can expect his prediction to be?
O His prediction will probably be very close to the actual value.
O His prediction will probably be very different than the actual value.
O His prediction is likely to be close to the actual value.
His prediction is likely to be different than the actual value.
The statement that describes how accurate he can expect his prediction to be his prediction will probably be very different than the actual value.
What is negative correlation?Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases. When two variables have a negative correlation, there is a negative sign in front of the number.
To learn more about negative correlation, please check: https://brainly.com/question/27246345
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Answer:
His prediction will probably be very close to the actual value.
Step-by-step explanation:
Other answer is wrong. I got it right.
PLEASE HELP ME
A. 6,000 cm3
B. 3,000 cm3
C. 4,000 cm3
D. 900 cm3
Answer:
A 6000
Step-by-step explanation:
15x20 = 300
300 x 10
since theres two rectangles with the same side lengths
3000 x 2
6000
Answer:
A 6000 cm^3
Step-by-step explanation:
Bottom rectangular prism volume = 15 x 20 x 10 = 3000 cm^3
Top prism = 10 x 20 x 15 = 3000 cm^3
Summed = 6000 cm^3
In the seahorse tank at an aquarium, 70% of the male seahorses
have eggs in their pouches. There are 20 male seahorses in the
tank. Kennedy uses the expression 0.07 x 20 to find the number of
male seahorses with eggs. Explain why Kennedy's expression is
incorrect. How many male seahorses have eggs in their pouches?
Part A: Kennedy's expression is incorrect because 0.07 is 7 percent, not 70.
Part B: The correct expression would be 0.7 * 20, which equals 14
can you help me:(( please..
Answer:
it's a non-function
Help me
Solve multi-steps equations
42=-8(3-k)+6(k-3)
Answer:
6
Step-by-step explanation:
42=--24+8k+6k-18
42=-24+14k-18
42=-42+14k
14k=-42-42
-14k=-84
k=84/14
K=6.
Hey there!
42 = -8(3 - k) + 6(k - 3)
-8(3 - k) + 6(k - 3) = 42
-8(3 - 1k) + 6(1k - 3) = 42
-8(3) - 8(-1k) + 6(1k) + 6(-3) = 42
-24 + 8k + 6k - 18 = 42
COMBINE the LIKE TERMS
(8k + 6k) + (-24 - 18) = 42
8k + 6k - 24 - 18 = 42
14k - 42 = 42
ADD 42 to BOTH SIDES
14k - 42 + 42 = 42 + 42
SIMPLIFY IT!
14k = 42 + 42
14k = 84
DIVIDE 14 to BOTH SIDES
14k/14 = 84/14
SIMPLIFY IT!
k = 84/14
k = 6
Therefore, the answer is: k = 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
This pattern follows the rule add 9. What are the next 3 terms?
An image of a pattern. Term one has 9 triangles, term two has eighteen triangles, term three has twenty seven triangles.
Group of answer choices
36, 45, 54
39, 48, 57
42, 51, 60
54, 63, 72
Next three terms after 27 are 36, 45 and 54.
d
O
9
9
9
f
f
e
d
Answer: P=
Submit Answer
I need help please!
Answer:
Step-by-step explanation:
Can someone teach me How to do long division properly?
Step-by-step explanation:
"properly" is very vague.
as your can imagine, particularly in math, where many things are commutative or have other degrees of freedom what do when in what sequence, you will find particularly for the little techniques many different approaches. and most of them are correct.
particularly today I keep scratching my head about what i think is immensely complicated but teachers swear they are helping the students.
anyway, this is how I do divisions by using an example :
73496 ÷ 17
the "window" I use to look at the first number is a long as the second number. in this case 2 digits.
step 1a :
as mentioned, we look at the 2 left most digits (73) and see how often 17 fits inside that as a whole :
73 ÷ 17 = 4
4×17 = 68, so we have a remainder of 73-68 = 5.
I write it like this :
73|496 ÷ 17 = 4
05 (4×7 = 28 and 5 is then 33, carry over 3,
4×1 = 4 plus carry 3 = 7, 0 difference)
step 1b :
pull the next position down
734|96 ÷ 17 = 4
054
step 2a :
we look at the bottom number and divide this by 17.
54 ÷ 17 = 3 and a remainder of 3.
734|96 ÷ 17 = 43
054
03 (3×7 = 21 and 3 is then 24, carry over 2,
3×1 = 3 plus carry 2 = 5, 0 difference)
step 2b :
pull the next position down
7349|6 ÷ 17 = 43
054
039
step 3a :
we look at the bottom number and divide this by 17.
39 ÷ 17 = 2 and a remainder of 5.
734|96 ÷ 17 = 432
054
039
05 (2×7 = 14 and 5 is then 19, carry over 1,
2×1 = 2 plus carry 1 = 3, 0 difference)
step 3b :
pull the next position down
73496| ÷ 17 = 432
054
039
056
step 4a :
we look at the bottom number and divide this by 17.
56 ÷ 17 = 3 and a remainder of 5.
73496| ÷ 17 = 4323
054
039
056
05 (3×7 = 21 and 5 is then 26, carry over 2,
3×1 = 3 plus carry 2 = 5, 0 difference)
step 4b :
pull the next position down. but we have reached the last position before the decimal point. from that moment on we create result numbers after the decimal point.
and because the left number did not have any explicit digits after the decimal point, all the numbers we are pulling down now are 0.
73496.0| ÷ 17 = 4323.
054
039
056
050
step 5a :
we look at the bottom number and divide this by 17.
50 ÷ 17 = 2 and a remainder of 16.
73496.0| ÷ 17 = 4323.2
054
039
056
050
16 (2×7 = 14 and 6 is then 20, carry over 2,
2×1 = 2 plus carry 2 = 4, 1 difference)
step 5b :
pull the next position down. because the left number did not have any explicit digits after the decimal point, all the numbers we are pulling down now are 0.
73496.00| ÷ 17 = 4323.2
054
039
056
050
160
step 6a :
we look at the bottom number and divide this by 17.
160 ÷ 17 = 9 and a remainder of 7.
73496.00| ÷ 17 = 4323.29
054
039
056
050
160
07 (2×7 = 14 and 6 is then 20, carry over 2,
2×1 = 2 plus carry 2 = 4, 1 difference)
step 6b :
pull the next position down. because the left number did not have any explicit digits after the decimal point, all the numbers we are pulling down now are 0.
73496.000| ÷ 17 = 4323.29
054
039
056
050
160
070
step 7a :
we look at the bottom number and divide this by 17.
70 ÷ 17 = 4 and a remainder of 2.
73496.00| ÷ 17 = 4323.294
054
039
056
050
160
070
02 (4×7 = 28 and 2 is then 30, carry over 3,
4×1 = 4 plus carry 3 = 7, 0 difference)
step 7b :
pull the next position down. because the left number did not have any explicit digits after the decimal point, all the numbers we are pulling down now are 0.
73496.0000| ÷ 17 = 4323.294
054
039
056
050
160
070
020
and so on ...
The winner of a golf tournament made two putts for birdies. The lengths of these putts were 15ft 4 in and 9 ft 2in. What’s the total distance of the putts in yards, feet, and inches?
The total distance of the putts in yards, feets and inches be 8 yd 0 ft 6 inches or 8 yd 0.5 ft 0 inches
What is unit conversion?The conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.
As,
1 yard = 3 foot,
1 feet = 12 inches.
Now the lengths are given 15ft 4 in and 9 ft 2 in.
So, the total distance of the putts be,
=15 ft 4 in + 9 ft 2 in
= 24 ft 6 inches
= 8 yd 0 ft 6 inches or 8 yd 0.5 ft 0 inches
Learn more about this concept here:
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What types of angles are <4 and <5?
A. vertical angles
B. alternate interior angles
C. alternate exterior angles
D. supplementary angles
Answer: Alternate interior angles
Step-by-step explanation:
can anyone help me find the area of these two ty
Answer:
11) 49 in.²
13) 4.515 m²
Step-by-step explanation:
11) area of square = (side)²
area = (7 in.)² = 7 in. × 7 in. = 49 in.²
13) area of triangle = base × height/2
area = 4.3 m × 2.1 m / 2 = 4.515 m²
Please solve the attached
Find the area of shaded region.
Answer:
340 cm^2
Step-by-step explanation:
Given:
Figure
To Find:
Area of the shaded region
Solution:
Area of shaded region:
[tex] \rm= Area \: of \: trapezium \: ABCD - Area \: of \: Trapezium \: EHGF[/tex]
We know that,
[tex] \rm \: Trapezium = 1/2 × (a+b)×h \: \: \: sq. units [/tex]
So,
[tex] \rm = 1/2 × (a+b)×h \: \: \: - 1/2 × (a+b)×h [/tex]
Trapezium ABCD:
According to the formula,
a =40b=24h = 25Trapezium EHGF:
a = 30b = 16h = 20Substitute:
[tex] \tt= \cfrac{1}{2} (40 + 24) \times 25 - \cfrac{1}{2} (30 + 16) \times \: 20[/tex]
[tex]\tt= \cfrac{1}{2} (64) \times 25 - \cfrac{1}{2} (46) \times \: 20[/tex]
[tex]\tt = \cfrac{1}{2} \times 1600 - \cfrac{1}{2} \times 920[/tex]
[tex] \tt \: = 800 - 460[/tex]
[tex] \rm = 340 \: cm {}^{2} \: or \: sq. \: cm[/tex]
Thus, the area of the shaded region will be 340 cm^2 .
Solve the equation for x.
3(x+2)=2(2-x)
Step-by-step explanation:
[tex]3(x + 2) = 2(2 - x) \\ 3x + 6 = 4 - 2x \\ 3x + 2x + 6 = 4 - 2x + 2x \\ 5x + 6 = 4 \\ 5x + 6 - 4 = 4 - 4\\ 5x = 2 \\ x \frac{2}{5} = 0.4[/tex]
What is the midpoint of the segment joining the points (4, -2) and (-8, 6)? A. (6,4)
B. (-6,-4)
C. (2,2)
D. (-2,2)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 + 4}{2}~~~ ,~~~ \cfrac{ 6 -2}{2} \right)\implies \left( \cfrac{-4}{2}~~,~~\cfrac{4}{2} \right)\implies (-2~~,~~2)[/tex]
Find the area of the shaded regions
Answer:
35 area of shaded regions
Answer:
It llooks like its missing some information. I don't think I can find the triangle areas without another angle measure or line length.
Step-by-step explanation:
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
-15
A. 360 + 643 units
B. 720 + 16v3 units'
OC. 720 +61, 3 units
D. 360 + 16,
3 units
)
A rectangular prism is filled with cubes as shown below. Which expression
represents the volume of the prism in cubic inches?
4 x 2 x 5
4+2 +5
5 in.
2 in.
(4+2) x 5
4 in.
= 1 cubic inch
4x (2+5)
Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))
Answer:
[tex]\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }[/tex]
Step-by-step explanation:
[tex]\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }[/tex]
[tex]=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}[/tex]
[tex]=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}[/tex]
[tex]\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }[/tex]
[tex]=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }[/tex]
[tex]=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }[/tex]
[tex]=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }[/tex]
[tex]=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }[/tex]
[tex]=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }[/tex]
[tex]=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }[/tex]
Remark:
You can simplify moreover if you want to.
PLEASE HELP 80 PTS.
Math stuff...
Answer:
a) m∠6 = 55 and m∠8= 55 - 20 --> m∠8= 35 x = 55
b) m∠7 = 40 and m∠9 = 140 x = 40
c) m∠8 = 46 and m∠7 = 46 x = 18
d) m∠6 = 63 and m∠7 = 27 x = 9
(just like the note says at the top each one is a different problem hence the different answer or each angle even if its the same one)
Step-by-step explanation:
I've attached my work
Sorry it took so long
Please give me feedback on my repsomse by commenting,
any way i can improve showing my work?
Hope it helps, let me know if you have questions !
Have a nice rest of your day :)
Answer:
PLEASE HELP 80 PTS.
Step-by-step explanation:
Five children are the following ages: 12, 13, 11, 11, and 13.
What is their mean age?
Answer: Mean is 12
Step-by-step explanation: Mean is adding it all up and then dividing, 12 + 13 + 11 + 11 + 13 is 60
Divide 60 by the amount of numbers, 5
60 divided by 5 is 12
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}}\rule{50}{1}[/tex]
Five children are the following ages:-
12, 13, 11, 11, and 13.- What is their mean age?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer \& how to solve:-}}}\rule{50}{1}[/tex]
In order to find the mean of a set of data, we need to add all the numbers in that set, as follows:-
[tex]\Large\text{12+13+11+11+13}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\textit{60}[/tex]
However, that's not our final step; we also need to divide by how many numbers there are (in this case, we have 5, so we divide by 5, as follows:-
[tex]\Large\textsf{60:5}[/tex]
[tex]\bigstar[/tex] As a result, the mean of the children's ages is as follows:-
[tex]\Large\textit{Mean=12}[/tex]
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
In a binomial random variable where n=10 and p=.5 what is q?
Group of answer choices
.6
.8
.5
.2
None of these options
Work Shown:
q = 1 - p
q = 1 - 0.5
q = 0.5
2 pts
I have an opening balance of $85.90. I make a deposit of $55. Then the next day, I
withdraw $30. A week later, I earn interest of $1.50. What is my new balance?
Answer:
$2.4
Step-by-step explanation:
85.9-55=30.9
30.9-30=0.9
0.9+1.5=2.4
What value of n makes the inequality true? |n| > |–2.5|
Answer: n > 2.5 or n < -2.5
Step-by-step explanation:
Let's solve your inequality step-by-step.
1. Solve Absolute Value.
|n| > 2.5
We know either n > 2.5 or n < -2.5
n > 2.5 (Possibility 1)
n < -2.5 (Possibility 2)
Your answer is n > 2.5 or n < -2.5
Which data set contains an outlier?
A. {15, 15, 15, 16, 16, 17, 18}
B. {45, 46, 47, 47, 49, 49}
C. {9, 10, 10, 11.4, 12.1, 12.6}
D. {16, 42, 45, 45, 46, 48}
The data set which contains an outlier from the given answer choices is; Choice D; {16, 42, 45, 45, 46, 48}.
What is an outlier?An outlier in a set of data values is a data value which differs significantly from other data points and hence, tends to affect the mean of such set of data values significantly.
On this note, choice D is the set of data values which contains an outlier.
Read more on outliers;
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The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has only completed some college is chosen at random, what is the probability that they are aged 20-29? Round your answer to the nearest thousandth.
Answer:
=0.291
Step-by-step explanation:
number of residents who have completed some college =5372
number of residents who has completed college and age group 20-29years=1563
1563/5372
=0.29095
Mackenzie chooses one candle and then chooses another candle. What is the probability that Mackenzie selects a polka dot candle both times?
Answer:
1/2
Step-by-step explanation:
because Mackenzie chose two candles and we are to find the probility that he selects a polka dot candle
Will make brainiest and you only have to at least answer one question pls
change 290 grams to pounds
change 87 grams to ounces
change 1,038 mph to feet per second
change 65 miles per hour to kilometers per hour
Answer:
change 290 grams to pounds= 0.639 pounds
change 87 grams to ounces= 3.069 ounces
change 1,038 mph to feet per second= 1522.4 feet per second
change 65 miles per hour to kilometers per hour
= 104.607 kilometers per hour
Hope this helps.
The area of the yard is 63 yd.² the length of one side is 7 yards what is the perimeter of the yard
Answer:
32 yd.
Step-by-step explanation:
63 / 7 is 9. 9+7+9+7 is 32.
Which one of the following choices is NOT affected by soil?
A. How well plants can grow.
B. The rate at which erosion occurs.
C. How quickly carbon reacts with minerals.
D. How water flows across the surface of the Earth.