Answer:
31.04
Step-by-step explanation:
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!
Answer:
x= 10,-2 (so basically x=10)
Step-by-step explanation:
Input each answers
Answer:
x=10
Step-by-step explanation:
10-3=7
10-5=5
7*5=35
Katie memorized 40 multiplication facts last week. This week she memorized 56 multiplication facts. What is her percent of increase for memorizing multiplication facts this week? o 22.4 % O 71.4 % O 40% O 140%
The percent of increase in Katie's memorization of multiplication facts this week is 40%. Option C
To calculate the percent of increase for Katie's memorization of multiplication facts this week, we need to find the difference between the number of facts she memorized last week and this week, and then express that difference as a percentage of the original value.
Number of multiplication facts memorized last week: 40
Number of multiplication facts memorized this week: 56
To find the difference in the number of facts, we subtract the number memorized last week from the number memorized this week:
56 - 40 = 16
The difference is 16.
To calculate the percent of increase, we divide the difference by the original value and multiply by 100:
(16 / 40) * 100 = 40
The percent of increase in Katie's memorization of multiplication facts this week is 40%.
Therefore, the correct answer is C) 40%.
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A park district is building an outdoor tennis court based on a scale drawing that measures 30 cm long by 13.75 cm and uses the scale 1 cm:0.8 m. What is the area of the actual tennis court in square meters?
The actual area of the tennis court is 264 m²
First use the scale to find the actual dimensions of the court:
1 cm : 0.8m
30 cm in the drawing would be:
= 0.8 x 30
= 24 m outside
13.75cm in the drawing would be:
= 0.8 x 13.75
= 11 m outside
Area of a rectangle (which is what the dimensions resemble):
= Length x width
= 24 x 11
= 264 m²
In conclusion, the area of the tennis court is 264 m²
Q3).
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
Step-by-step explanation:
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given pair of linear equations are
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\ \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8[/tex]
can be rewritten as on multiply by 10,
[tex]\rm :\longmapsto\:4x + 3y = 17 - - - - (1)\\ \\ \rm :\longmapsto\:7x - 2y = 8 - - - - - (2)[/tex]
From equation (2)[tex]\rm :\longmapsto\:2y = 7x - 8[/tex]
[tex]\rm\implies \:\boxed{\tt{ y = \frac{7x - 8}{2}}} - - - - (3) [/tex]
On substituting the value of y in equation (1), we get
[tex]\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17[/tex]
[tex]\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2} = 17[/tex]
[tex]\rm :\longmapsto\:29x - 24 = 34[/tex]
[tex]\rm :\longmapsto\:29x = 34 + 24[/tex]
[tex]\rm :\longmapsto\:29x = 58[/tex]
[tex]\bf\implies \:x = 2 - - - - (4)[/tex]
On substituting x = 2 in equation (3), we get
[tex]\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{14 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{6}{2} [/tex]
[tex]\bf\implies \:y = 3[/tex]
So, we get
[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2} \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}[/tex]
VerificationFrom equation (1),
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7[/tex]
On substituting the value of x and y, we get
[tex]\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7[/tex]
[tex]\rm :\longmapsto\:0.8 + 0.9 = 1.7[/tex]
[tex]\rm :\longmapsto\:1.7 = 1.7[/tex]
Hence, Verified▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Basic Concept :-To solve systems using Method of Substitution, follow this procedure:
1. Select one equation and solve it for one of its variables.
2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.
3. Solve the equation to get the value of this variable
4. Substitute the value found in to first equation involving both variables and solve for the other variable.
how many minute is in 120 hours
Answer:
7,200
Step-by-step explanation:
1h=60min
120h=7,200min
7,200 minutes is equal to 432,000 seconds.
7,200 minutes is equal to 432,000,000,000,000 nanoseconds
7,200 minutes is equal to 432,000,000,000 microseconds.
7,200 minutes is equal to 5 days.
7,200 minutes is equal to 0.71 weeks.
its 7,200 minutes
Find the value of x.
A) 8
C) 6
E) 11
B) -9
D) -11
select the expression that is equivalent to (3d^4)^2
A. 6d^6
B. 9d^8
C. 9d^6
D 3d^8
Answer:
9d^8
Step-by-step explanation: found it online
Help would be appreciated!
Please explain how you got the answer c:
Answer:
-25
Step-by-step explanation:
Reading the expression:We're given the sigma notation of a series.
[tex] \mathsf{ \sum _{k = 1} ^{5}(2k - 11) }[/tex]
The variable k is the "index of notation"
The expression can be read as the sum of (2k- 11) as k goes from 1 to 5.
"To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index" ~internet
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Generating the terms of the series:To generate the terms of the series given on sigma notation above, replace k by 1, 2, 3, 4, and 5 and add the terms, to get the answer to the given notation.
[tex]\mathsf{ \sum _{k = 1} ^{5}(2k - 11) } \\ = \mathsf{ \overline{2(1) - 11} + \overline{2(2) - 11} + \overline{2(3) - 11} } \\ \mathsf{ + \overline{2(4) - 11} + \overline{2(5) - 11}}[/tex]
[tex] = \mathsf{\overline{2 - 11} +\overline{4 - 11} + \overline{6 - 11} } \\ \mathsf{\overline{8 - 11} + \overline{10- 11}}[/tex]
[tex] = \mathsf{ - 9- 7 - 5 - 3 - 1}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Final Answer:[tex] \mathsf{ \underline{- 25}}[/tex]
______________________
[tex] \mathfrak{ \overline{There \: You \: Are!}}[/tex]
Let's see
[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^2_{k=1}}}(2k-11)[/tex]
k=1,2,3,4,5[tex]\\ \rm\Rrightarrow 2(1)-11+2(2)-11+2(3)-11+2(4)-11+2(5)-11[/tex]
[tex]\\ \rm\Rrightarrow 2-11+4-11+6-11+8-11+10-11[/tex]
[tex]\\ \rm\Rrightarrow 30-55[/tex]
[tex]\\ \rm\Rrightarrow -25[/tex]
y>-4 help PLZ......!?!?!?!?!?
Answer:
0
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below. y = x - 3 y = - 3/5x + 5
Answer:
Solution by graphing: (5, 2)
Step-by-step explanation:
y = x - 3
y = - 3/5x + 5
To solve systems of linear equations graphically, you'll have graph each equation using 2 pairs of points.
A great starting point is always using its intercepts:
y = x - 3
where the y-intercept is (0, -3).
To find its x-intercept, set y = 0 and solve for the value of x:
y = x - 3
0 = x - 3
Add 3 to both sides:
0 + 3 = x - 3 + 3
3 = x
Therefore, the x-intercept = (3, 0).
y = - 3/5x + 5
where the y-intercept is (0, 5).
Next, you could find a value of x that easily cancels out the fraction given by the slope (m) = -3/5. An input value of x = 5 cancels out the denominator of the slope:
y = - 3/5x + 5
y = - 3/5(5) + 5
y = -3 + 5
y = 2
Therefore, the other point that you could use to plot on the graph is (5, 2).
For y = x - 3, we'll use the line's intercepts: (0, -3) and (3, 0).
For y = - 3/5x + 5, we'll use (0, 5) and (5, 2).
Plotting these points on the graph will give us a solution of (5, 2), as it is the point where both lines intersect. Attached is a screenshot of the graphed lines.
Please mark my answers as the Brainliest if you find my explanations helpful :)
Tupac bought a new video game. While he learned how to play, he played 5 games and had a
combined score of -325 points. Write and find the value of an expression for the average number
of points he lost in the first 5 games.
How can we tell that 4:1 and 12:3 are equivalent ratios?
Answer:
We can tell that 4:1 and 12:3 are equivalent ratios because if you simplify 12:3 you will get 4:1. You can also multiply 3 to both sides of 4:1 and you will get 12:3. You can also do this with other numbers.
Step-by-step explanation:
Which continent is pictured in the map as number 3?
Answer: Africa
, Hope this helps :)
Have a great day!!
solve the inequality. 1/3b - 4 ≤ 4
Answer:
b ≤ 24
Step-by-step explanation:
Treat it like a two-step equation:
1/3b - 4 ≤ 4
Add 4 on both sides: 1/3b - 4 (+4) ≤ 4 (+4)
1/3b ≤ 8
Multiply 3 on both sides (3)1/3b ≤ 8(3)
b ≤ 24
x[tex]x^2+x-20=0[/tex]2+x-20=0
Answer:
x = 4, x = -5
Step-by-step explanation:
hope this helps
A frog leaps off of a ledge and lands on the ground below. The function
f(x) = -1.6x2 + 2.3x + 3.2 represents the frog's path.
a. How high is the ledge where the frog starts?
b. How high is the frog at its highest point?
c. What is the frog's horizontal distance from the ledge when it
reaches its highest point?
Answer:
-1.6x2 + 2.3x + 3.2 = f(x) to solve this you do -1.6 x 2 = -3.2 + 2.3x = -0.9 + 3.2 = 2.3
Step-by-step explanation:
For A the height of ledge is 3.2
for b - the frogs highest point 2.30x
and c is 12.3x
Use the figure to find the measures of the numbered angles.
Answer:
∠3 = 95°
∠4 = 85°
Step-by-step explanation:
Angle 3 and the angle that is already given are Corresponding angles meaning they will be equal.
Angle 3 and Angle 4 are Supplementary angles so their degrees add up to 180°.
Hope this helps!
Please, please help!!
Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
Using decimal multipliers, it is found that the expression that can be used to determine the final cost of the game is given by:
[tex]C = 0.8856y[/tex]Decimal multipliers:The equivalent multiplier for an increase of a% is given by: [tex]\frac{100 + a}{100}[/tex]The equivalent multiplier for an decrease of a% is given by: [tex]\frac{100 - a}{100}[/tex]In this problem:
Purchase for 18% off, hence decrease of 18%, that is, [tex]\frac{100 - 18}{100} = 0.82[/tex].Sales tax of 8%, hence, an increase of 8%, that is, [tex]\frac{100 + 8}{100} = 1.08[/tex].Applying both multipliers, the expression is:
[tex]C = y(0.82)(1.08) = 0.8856y[/tex]
To learn more about decimal multipliers, you can take a look at https://brainly.com/question/19808269
Find the length of the third side. If necessary, write in simplest radical form.
Answer: [tex]3\sqrt{3[/tex]
Step-by-step explanation: use pythagorean theorem to solve this. which is a^2 + b^2 = c^2
lets say b=3 and c=6. plug this into the equation. (6)^2 - (3)^2 + = 36 - 9 which is 27 = c^2. to get c from c^2, square root the c^2 value
the square root of 27 is [tex]3\sqrt{3[/tex] in simplest radical form
Consuelo is buying flavored coffee and plain coffee. The total amount of money she spends on coffee is T = 5.50p + 7f, where "p" represents the cost of a package of plain coffee and "f" represents the cost of a package of flavored coffee.
a. If Consuelo has $40 to spend on coffee, describe the constraints on the formula.
b. Solve for f.
c. If Consuelo needs to buy 3 packages of plain coffee, what is the maximum number of packages of flavored coffee she can buy?
A linear equation can have one or more variables.
The constraints on the formula are the costs of plain coffee and cost of flavored coffeeThe equation of f is: [tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex].The maximum number of packages of flavored coffee she can buy is 3The function is given as:
[tex]\mathbf{T = 5.50p + 7f}[/tex]
(a) The constraints when T = 40
Substitute 40 for T in [tex]\mathbf{T = 5.50p + 7f}[/tex]
[tex]\mathbf{5.50p + 7f = 40}[/tex]
The variables in the above equation are p and f
Hence, the constraints are the cost of a package of plain coffee and the cost of a package of flavored coffee
(b) Solve for f
In (a), we have:
[tex]\mathbf{5.50p + 7f = 40}[/tex]
Subtract both sides by 5.50p
[tex]\mathbf{7f = 40 -5.50p }[/tex]
Divide both sides by 7
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
Hence, the equation of f is:
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
(c) The maximum number of flavored coffee when she buys 3 packages of plain coffee
In (b), we have:
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
Substitute 3 for p
[tex]\mathbf{f = \frac{40 -5.50 \times 3}7 }[/tex]
[tex]\mathbf{f = \frac{40 -16.50}7 }[/tex]
[tex]\mathbf{f = \frac{23.5}7 }[/tex]
Divide
[tex]\mathbf{f = 3.36 }[/tex]
Remove the decimal part (do not approximate)
[tex]\mathbf{f = 3 }[/tex]
Hence, the maximum number of packages of flavored coffee she can buy is 3
Read more about linear equations at:
https://brainly.com/question/12420841
Can somebody help me please
Answer:
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what the value of 6(2b-4} when b=5
Answer:
[tex]6(2b - 4) \\ b = 5 \\ 6(2 \times 5 - 4) \\ = 6(10 - 4) \\ = 6(6) \\ = 36 \\ thank \: you[/tex]
Answer:
6(2b-4) when b = 5 is 36
Step-by-step explanation:
[tex]6(2b-4)\\6(2(5)-4)\\6(10-4)\\6(6)\\36\\[/tex]
Which number represents the ratio comparing the average age in groupB to group A if the average age of A=50 years old and B=65 years old?
the face of a clock has a circumference of 62.8 in. What is the area of the face of the clock.
Answer:
3 943.84π
Step-by-step explanation:
tienes que usar la fórmula de: pi por radio al cuadrado
Answer:
[tex]314in^{2}[/tex]
Step-by-step explanation:
Circumference is [tex]2\pi r[/tex]
Find your radius
[tex]2\pi r=62.8\\\pi r=31.4\\[/tex]
Let [tex]\pi =3.14[/tex] for simplicity
r=[tex]\frac{31.4}{3.14}[/tex]=10
Now use the equation for the area of a circle to find the area of the clock face.
Area of a circle is [tex]\pi r^{2}[/tex]
Area of clock face is [tex]\pi (10^{2} )[/tex]
=[tex]100\pi[/tex]
=[tex]314in^{2}[/tex]
Find the values of x and y.
Answer:
X = 62.5 Degrees, Y = 60 Degrees.
Step-by-step explanation:
There is always 180 degrees in angles.
[ X ]
180 - 65 = 115
115 - 55 = 60
[ Y ]
180 - 55 = 125
125 / 2 = 62.5
I WILL MARK BRAINLIST PLS HELP
Answer:
a is parallel b
then
10x-23=27
10x=23+27=50
x=50÷10=5
Please explain! I need help!
Answer:
B is the correct answer.
Step-by-step explanation:
pls guys help me pls pls pls pls
Answer:d
Step-by-step explanation:
xsn
Can you help me on 16, 17, 18, 19, and 20
I will mark brainliest
I will report for spam, stealing points, and links
Answer:
16. C 17.A 18.D 19.c
hope this helps
Every 7 days a plant grows 4 centimeters. Complete the table.
14 35 21 28
Answer:
28 days = 32cm
This is because the data shows that for every 7 days the plant grows 7cm
