2
3x. + 63x + 9x + 189
Step-by-step explanation:
Use distributive law, in other words multiply the first bracket terms by the second bracket terms
A health food company makes its 'Superfood Blend' from whey protein, which costs $10.25 per pound, and powdered spirulina, which costs $22.45 per pound. The blend ends up costing $16.35 per pound. If the company has 140 pounds of the whey protein on hand, how many pounds of the spirulina does it need to get in order to make the blend?
It needs [tex]140\ \text {pounds}[/tex] of the spirulina to get in order to make the blend.
Used the concept of a system of linear equations that states,
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system.
Example; ax + by = 0
Given that,
The cost of protein per pound = [tex]\$10.25[/tex]
The cost of powdered spirulina per pound = [tex]\$22.45[/tex]
And, the blend ends up costing [tex]\$16.35[/tex] per pound.
Let us assume that,
There are x pounds of protein and y pounds of spirulina in the mixture.
Hence, by given conditions the equation is,
[tex]10.25x + 22.45y = 16.35 (x + y)[/tex]
[tex]10.25x + 22.45y = 16.35x +16.35 y[/tex]
Combine like terms,
[tex]22.45y - 16.35 y= 16.35x - 10.25x[/tex]
[tex]6.1 y = 6.1x[/tex]
[tex]y = x[/tex]
Since the company has 140 pounds of whey protein on hand.
So, the amount of spirulina it needs to get in order to make the blend is,
[tex]y = 140\ \text {pounds}[/tex]
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What were the dimensions of the original photo? 4 inches by 4 inches 6 inches by 6 inches 10 inches by 10 inches 12 inches by 12 inches
Answer:
6 inches by 6 inches
Step-by-step explanation:
Area of the square = 256 inches ²
Given equation:
(x + 10)² = 256
Where,
x = side measure of the original square
(x + 10)² = 256
(x + 10)(x + 10) = 256
x² + 10x + 10x + 100 = 256
x² + 20x + 100 = 256
x² + 20x + 100 - 256 = 0
x² + 20x - 156 = 0
Solve the quadratic equation by factorization
Find two numbers whose product is -156 and sum is 20
The numbers are -26 and 6
x² + 26x - 6x - 156 = 0
x(x + 26) - 6(x + 26) = 0
(x + 26) (x - 6) = 0
x + 26 = 0 or x - 6 = 0
x = -26 or x = 6
Side length of a square can not be negative
Therefore,
x = 6 inches
6 inches by 6 inches
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. b BA ∩ LC = K ∆BLK ≅ ∆ ______ by _______. PLZ ANSWER FAST!!!!!!!!
Answer:
Cannot be determined.
Step-by-step explanation:
The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.
Use the substitution method to find the solution for the system of equations. Write the answer as an ordered pair. 3x+2y=23 (1/2)-y=4
Answer:
x = 7.75 y = -0.125
Step-by-step explanation:
3x + 2y = 23 1/2x - y = 4
2(1/2x - y) = (4)2 1x - 2y = 8
3x + 2y = 23
+ 1x - 2y = 8
4x = 31
x = 7.75
3(7.75) + 2y = 23
23.25 + 2y = 23
2y = -0.25
y = -0.125
Given the new regression model, which of the following statements is true? As the number of retail stands increases by one, the daily revenue increases by $2,298.36 on average. As the number of retail stands increases by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant. As the number of female visitors increases by ten, the daily revenue increases by $29.34 on average. As the number of female visitors increases by ten, the daily revenue increases by $29.34 on average, provided that the number of retail stands and food stands remains constant.
Answer:
As the number of retail stands increase by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant.
Step-by-step explanation:
This is gross relationship of regression model, multiple regression model describes net relationship. The net effect on number of retail stands on daily revenue. The average increase in daily revenue as the number of retail stands increases by one while other variables remains constant.
A video game displays 125 frames in 5 seconds on Penelope's computer. What is the rate in frames per second?
A. 23 frames per second
B. 25 frames per second
C. 26 frames per second
D. 24 frames per second
Answer:
[tex] = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}[/tex]
Answer:
B. 25 frames per second
Step-by-step explanation:
To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.
Therefore, we have:
[tex]\frac{125}{5}=\boxed{25\text{ frames per second}}[/tex]
How many real zeros does the function graph below have?
Answer:
Step-by-step explanation:
If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity.
I NEED HELP BUT THE ANSWER MUST WORK ON KHAN ACADEMY
Answer:
x=55
Step-by-step explanation:
Since 2 sides are the same length, their base angles much be the same. The unmarked angle muse also be x
x+x+70 = 180 since the sum of the angles of a triangle must be 180
2x+70 = 180
2x = 180-70
2x = 110
Divide by 2
2x/2 =110/2
x=55
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{x + x + 70 = 180}^\circ[/tex]
[tex]\underline{\large\text{COMBINE the LIKE TERMS}}[/tex]
[tex]\large\textsf{(x + x) + 70 = 180}^\circ[/tex]
[tex]\large\textsf{x + x = \bf 2x}[/tex]
[tex]\large\textsf{2x + 70 = 180}^\circ[/tex]
[tex]\underline{\large\text{SUBTRACT 70 to BOTH SIDES}}[/tex]
[tex]\large\textsf{2x + 70 - 70 = 180 - 70}[/tex]
[tex]\large\text{CANCEL out: 70 - 70 because that gives you 0}[/tex]
[tex]\large\text{KEEP: 180 - 70 because helps solve for the x-value}[/tex]
[tex]\large\textsf{180 - 70 = \bf 110}[/tex]
[tex]\underline{\underline{\large\text{New equation: 2x = 110}}}[/tex]
[tex]\underline{\large\text{DIVIDE 2 to BOTH SIDES}}[/tex]
[tex]\large{\mathsf{\dfrac{2x}{2}=\dfrac{110}{2}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{2}{2}} \large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{110}{2}}\large\text{ because that gives you the answer of the x-value}[/tex]
[tex]\mathsf{x = \dfrac{110}{2}}\\\\\large\textsf{x = 110}\div\large\textsf{2}\\\\\large\textsf{x = \bf 55}^\circ[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = \bf 55}}^\circ}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which steps can be used to solve
6
X
1 7
2 8
for x?
Answer:
2856
Step-by-step explanation:
This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.
Pleaseee help!!!!!!!
Answer/Step-by-step explanation:
Given:
86.32947
Let's find the place value of each digit
8 => tens which is 80
6 => unit which is 6
3 => tenth which is 0.3
2 => hundredth which is 0.02
9 => thousandth which is 0.009
4 => ten-thousandths which is 0.0004
7 => hundred-thousandth which is 0.00007
If you add all of the it will give you 86.32947
Thus:
1. 6 => b
2. 8 => g
3. 4 => e
4. 7 => d (there's a mistake in the number of zeros written.)
5. 9 => c
or which polygon is the sum of the interior angles equal to 540? A 5-sided figure. A 6-sided figure. A 6-sided figure. A 4-sided figure.
Answer:
A 5 sided figure
Step-by-step explanation:
To find the sum of interior angles we use the formula
S = (n - 2) *180
540 = 180n - 360
180n = 540 + 360
180n = 900
n = 900/180
n = 5
The number of sides of a polygon with the given sum of interior angles is 5.
Option A)5-sided figure is the correct answer.
What is a polygon?A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The formula for calculating the sum of interior angles of a polygon is;
S = ( n − 2 ) × 180°
Where S is the sum and n is the number of sides.
Given that the sum of the interior angles equal to 540°.
From the above expression;
S = ( n − 2 ) × 180°
540° = ( n − 2 ) × 180°
540° = 180°n − 360°
180°n = 540° + 360°
180°n = 900°
n = 900° / 180°
n = 5
The number of sides of a polygon with the given sum of interior angles is 5.
Option A)5-sided figure is the correct answer.
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Cho biểu thức : A=(√x+1)/(√x-2) +(2√x)/(√x+2 )+(2+5√x)/(4-x)
a.Rút gọn A
b.Tính giá trị của A khi x=2
c.Tính giá trị của A khi X-5√x+6=0
Answer:
A= (3*X - 6[tex]\sqrt{x}[/tex])/(X-4)
A=(3*2 - 6[tex]\sqrt{2}[/tex])/(2-4)= -3+3[tex]\sqrt{2}[/tex]
A=(3*4 - 6[tex]\sqrt{4}[/tex])/(4-4) Unknown
Step-by-step explanation:
Solve for the measure of angle QSR, given b=136.
The calculated measure of the angle QSR is 68 degrees
How to solve for the measure of angle QSRFrom the question, we have the following parameters that can be used in our computation:
Angle b = 136 degrees
The measure of angle QSR can be calculated using
QSR = 1/2 * Angle b
substitute the known values in the above equation, so, we have the following representation
QSR = 1/2 * 136 degrees
Evaluate
QSR = 68 degrees
Hence, the measure of angle QSR is 68 degrees
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If 65% of a number is 1105 what is 82% of the number
Answer:
1394
Step-by-step explanation:
Set up equation to find the number:
Variable n = number
65/100 = 1105/n
Cross multiply:
65 × n = 100 × 1105
65n = 110,500
n = 1700
Check your work:
1700 × 65%
Convert percentage into decimal:
1700 × 0.65
1105
Correct!
Find 82% of 1700:
Variable x = 82% of 1700
82/100 = x/1700
82 × 1700 = 100 × x
139,400 = 100x
1394 = x
Check your work:
1700 × 82%
1700 × 0.82
1394
Correct!
The 82% of the original number (1700) is approximately 1394.
Let's denote the original number as N. We know that 65% of N is equal to 1105. We can write this as:
65% of N = 0.65 * N = 1105
Now, to find the value of N, we can rearrange the equation to solve for N:
N = 1105 / 0.65
Now, calculate the value of N:
N ≈ 1700
So, the original number N is approximately 1700.
Next, we need to find 82% of this number. We can express this as:
82% of N = 0.82 * N
Now, substitute the value of N:
82% of 1700 = 0.82 * 1700
≈ 1394
Thus, 82% of the original number (1700) is approximately 1394.
To summarize, first, we found the value of the original number (N) using the given information that 65% of N is equal to 1105. Then, we calculated 82% of N, which turned out to be approximately 1394.
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at the supermarket, andy paid 11.50 for a water melon and five apples khairi paid 15.85 for one such watermelon and 10 such apples . find the cost of one such watermelon
Answer:
x=7.15
y=0.87
Step-by-step explanation:
First of all u need to let watermelon nd apples x&y. so after that what u have to do is substract the equations.
A stock lost 8 3/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the
net gain or loss of the stock for these three days?
Answer:
The stock in last three days has a net gain of 3.
Step-by-step explanation:
The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:
[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]
[tex]x = 3[/tex]
The stock in last three days has a net gain of 3.
Which polygon has an interior angle sum of 1080°?
Answer:
its octagon. first and last one it has total 8 sides
could someone help me with this ASAP? thanks !
A. [tex]6x^2[/tex]+-5x+14x+-35
[tex]6x^2[/tex]+9x-35
B. [tex]5x^4+-3x^3+10x^3+-6x^2[/tex]
[tex]5x^4+7x^3-6x^2[/tex]
C. [tex]25x^2+-20x+20x+-16[/tex]
[tex]25x^2-16[/tex]
D. [tex]x^4+-4x^2+-7x^2+28[/tex]
[tex]x^4-11x^2+28[/tex]
[tex]====================================[/tex]
Step-by-step explanation:
A. (3x*2x)+(3x*-5)+(7*2x)+(7*-5)
Multiply and simplify.
[tex]6x^2[/tex]+9x-35
B. ([tex]x^2*5x^2[/tex])+([tex]x^2*[/tex]-3x)+(2x[tex]*5x^2[/tex])+(2x[tex]*-3x[/tex])
Multiply and simplify.
[tex]5x^4+7x^3-6x^2[/tex]
C. [tex](5x*5x)+(5x*-4)+(4*5x)+(4*-4)[/tex]
Multiply and simplify.
[tex]25x^2-16[/tex]
D. [tex](x^2*x^2)+(x^2*-4)+(-7*x^2)+(-7*-4)[/tex]
Multiply and simplify.
[tex]x^4-11x^2+28[/tex]
I hope this helps!
But you should really do this yourself.
Miguel has lots of candy from Halloween. He has 42 lollipops. He has 6 times as many lollipops as he does chocolates. How many chocolates does he have?
Answer:
7
Step-by-step explanation:
Find the measure of each angle indicated.
A) 87°
C) 130°
B) 25°
D) 105°
Help me with this pls IM FAILING PYTHAGOREAN THEOREM
Answer: 33
Work Shown:
Apply the pythagorean theorem to get
[tex]a^2 + b^2 = c^2\\\\x^2 + 44^2 = 55^2\\\\x^2 + 1936 = 3025\\\\x^2 = 3025 - 1936\\\\x^2 = 1089\\\\x = 33[/tex]
A fencing company charges $22per foot to install a wood fence around a rectangular pool area that is 20 feet wide and 38 feet long? pls help me
Convert 88° to radians and round to 2 decimal places.
Answer:
1.54
Step-by-step explanation:
88° = 88° × π ÷ 180
= 88° × 3.142 ÷ 180
= 88° × 0.0175
= 1.54
Parametric equation of the line d: 4x-3y+17=0
Answer:
x = t/4 and y = (t+17)/3
Step-by-step explanation:
4x-3y+17=0
or, 4x=3y-17
let, 4x = t
so, x = t/4
and 3y-17 = t
or, 3y = t+17
or, y = (t+17)/3
Answered by GAUTHMATH
Omni likes to run along the beach. She drinks \frac{2}{3} 3 2 cup of water for every mile she runs. If her water bottle holds 66 cups of water, how many miles can she run before her water bottle is empty? Omni can run miles with one water bottle.
Answer:
99
Step-by-step explanation:
66 ÷ [tex]\frac{2}{3}[/tex] = 66 * [tex]\frac{3}{2}[/tex] = 33* 3 = 99
(x+4)^2-(x+2)(x-2)=20
⇒x²+ 4² - x²+ 2x - 2x + 4 = 20
⇒ x² - x² + 2x - 2x + 4² + 4 = 20
⇒ 16 + 4 = 20
⇒ 20 = 20
RHS = LHS hence proved
Answered by Gauthmath must click thanks and mark brainliest
Answer:
x = 0
Step-by-step explanation:
(a + b)² = a² +2ab + b²
(a +b)(a -b)= a² - b²
(x + 4)² - (x + 2 )(x - 2) = 20
x² + 2*4 *x + 4² - [x² - 2²] = 20
x² + 8x + 16 - [x² - 4] = 20
x² + 8x + 16 - x² + 4 = 20 {(-1) is distributed x² and (-4)²}
x² - x² + 8x + 16 + 4 = 20 {Combine like terms}
8x + 20 = 20
8x = 20 - 20
8x = 0
x = 0
simplify each radical expression pleaseeee help i haven’t done algebra in 2 years
Answer:
4. 12√3
5. -35√2
6. 5√2/2
Step-by-step explanation:
4. 3√12+2√27
= 3√(4×3) + 2√(9×3)
= 6√3+6√3
= 12√3
5. 5√8-9√50
= 5×2√2-9×5√2
= 10√2-45√2
= -35√2
6. 5/√2
= 5×√2/(√2×√2)
= 5√2/2
Answered by GAUTHMATH
A blueprint for a lighthouse uses a scale of 1 in.:5 ft. The lighthouse in the blue print is 6 in. tall. How tall is the actual lighthouse?
it would be 30ft tall, because each inch = 5 ft, therefore, 6 x 5 = 30.
Answer:
30 ft
Step-by-step explanation:
5 X
— = —
1 6
5•6=30
30/1= 30
therefore the answer is 30 ft
Abby cuts a sheet of paper in half, making two triangles. If the piece of paper is 16cm long by 12cm wide, how long is the diagonal?
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem
diagonal² = 16² + 12² = 400
diagonal = √400 = 20 cm
The average number of shirts that a shop sold each month is given in the graph. In the graph, 1 represents January, 2 represents February, and so on. Based on the graph, how many shirts can the shop expect to sell in June of that year? A. 60 shirts B. 160 shirts C. 220 shirts D. 320 shirts
Answer:
320 shirts
Step-by-step explanation:
Answer:
320 shirts
Step-by-step explanation:
If the shirts were around 400 in January, then you would assume that near June, the number of shirts sold would be 320 shirts.
