Answer:
42 ounces of flour
Step-by-step explanation:
8 - 48
7 - x
When you cross multiply, you get:
8x = 7*48
8x = 336
x = 336/8
x = 42
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(x+3)(x²-3x+9)-(54+x³)
Answer:
x² - 3x ≤ 54 m²
Step-by-step explanation:
Step-by-step explanation:
and ? what do we need to do with this ?
compress/simplify this ?
if that is true :
(x+3)(x²-3x+9)-(54+x³)
x³ - 3x² + 9x + 3x² - 9x + 27 - 54 - x³ = -27
x[tex]x^2+x-20=0[/tex]2+x-20=0
Answer:
x = 4, x = -5
Step-by-step explanation:
hope this helps
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.
5. Which of the following is a sign that you have a budget deficit?
Your savings account balance grows every month.
. You overdraw your checking account on a consistent basis (with a $25 cost per overdraft).
Your checking account balance grows every month.
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
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
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 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
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]
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]
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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?
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!
20,612,439 in scientific notation
Please explain! I need help!
Answer:
B is the correct answer.
Step-by-step explanation:
A triangle has angle measures
x+15, 3x-35, and 4x.
What type of triangle is it? Be as specific as possible. Justify your answer.
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
y>-4 help PLZ......!?!?!?!?!?
Answer:
0
Step-by-step explanation:
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
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.
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A polygon is translated and then stretched vertically. Which statement is correct?
A.
Neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.
B.
The translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.
C.
Both the translation and the vertical stretch preserve side lengths and angles of the preimage.
D.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage is correct statement.
What is translation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
A transformation allows something(shape) to moves, flip, or changes a shape (called the preimage) to create a new shape.
The length or angle of the image is not changed by translation but stretching will change the angle of image.
By transformation rules A,B C are false.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage. is correct statement.
Hence, The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
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Step-by-step explanation:
I WILL MARK BRAINLIST PLS HELP
Answer:
a is parallel b
then
10x-23=27
10x=23+27=50
x=50÷10=5
Find the value of x.
A) 8
C) 6
E) 11
B) -9
D) -11
A line passed through the points (1, 2) and (3,-4).
Determine the equation of that line in slope intercept
form.
The slope of the line is m = -3
The y-intercept is (0,5)
The equation of the line in the slope-intercept form is y = 5-3x
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]
Q and R are complementary. The measure of Q is 26 less than the measure of R. Find the measure of each angle
Step-by-step explanation:
Since Q and R are complementary,
⇒ Q + R = 90°
Since Q is 26° less than the measure of R
⇒ R - 26° = Q
We can therefore say that ( R - 26°) + R = 90°
⇒ 2 R = 90° + 26°
R = 58 °
Also, since R - 26° = Q
58° - 26° = Q
32 ° = Q
∴ Q = 32 ° and R = 58°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.
Can somebody help me please
Answer:
sdfgsdhvdert
fghjkkl
fghj
fghjk
gfgjuii
The temperatures for the week were as follows Sunday 72 Monday 72 Tuesday 85 Wednesday 69 Thursday 72 Friday 80 and Saturday 77 determine the mean rounded to the nearest tenth median mode and range of the results
Answer:
Mean- 75.3
Median- 72
Mode- 72
Range- 77
Step-by-step explanation:
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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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
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