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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Can someone please help me with my maths question
Answer:
[tex]a. \ \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
[tex]b. \ \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
Step-by-step explanation:
The question relates with rules of indices
(a) The give expression is presented as follows;
[tex]\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}[/tex]
By expanding the expression, we get;
[tex]\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}[/tex]
Collecting like terms gives;
[tex]\dfrac{m^{(3 + 4 - 6)} \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
[tex]\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
(b) The given expression is presented as follows;
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4[/tex]
Therefore, we get;
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n}[/tex]
Collecting like terms gives;
[tex]x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )[/tex]
[tex]x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
After a 20% reduction, you purchase a tv for $336. What was the price of the tv before the reduction?
Answer:
$420
.8 x = 336
x = 336/.8
X=$420
Step-by-step explanation:
Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!
Answer:
There are 0.454 kg in one pound.
So, in 120 pounds there are 0.454 x 120 kgs.
This is equal to 54.48, and the answer is 54.48 kg.
Let me know if this helps!
Three adults are picked at random from those with a mass of 70 kg or less.
Calculate the probability that one of them has a mass of 35 kg or less and the other two each have a
mass greater than 35 kg.
HELP ME PLS ITS PYTHAGOREAN THEOREM
Answer:
a= [tex]\sqrt{19}[/tex]
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2
a^2+9^2=10^2
a^2+81=100
a^2=19
a=[tex]\sqrt{19}[/tex]
Answer:
b = 4.4 meters
On the coordinate plane, point P is located at (3, y) and point Q is located at (1, -4). The distance between
points P and Q is 29 units.
What are the two possible values of y?
Answer:
y = 23, -31
Step-by-step explanation
ttyl
what is 13.5/10 simplified
Answer:
27/20
Step-by-step explanation:
[tex]\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}[/tex]
Find the area of the shaded regions:
Answer:
18[tex]\pi[/tex]
[tex]\frac{80}{360} * 81 \pi[/tex]
Step-by-step explanation:
I need help please slope
Answer:
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35) 75-35/30-10 would be your slope, or, 40/20, or simplified, 2.
Your slope is 2
Does the point (2, 6) lie on the circle shown? Explain.
O Yes, the distance from (3, 0) to (0, ) is 3 units.
O Yes, the distance from (0, 0) to (2, V6) is 3 units.
O No, the distance from (3, 0) to (2, 6) is not 3 units.
O No, the distance from (0, 0) to (2, 6) is not 3 units.
Answer:
A.
Step-by-step explanation:
the square root of 6 is roughly 1.57
so that means the ordered pair would read (2,1.57).
if you were to plot that point it would be on the circle.
Also the distance from the origin (0,0) to (3,0) is 3 units
We will see that the correct option is:
"No, the distance from (0, 0) to (2, 6) is not 3 units."
Does (2, 6) lie on the circle shown?
We know that the circle has a radius of 3 units, then we need to see if the distance between (0, 0) and (2, 6) is 3 units.
Here we have:
[tex]D = \sqrt{(6 - 0)^2 + (2 - 0)^2} = \sqrt{36 + 4} = \sqrt{40} \neq 3[/tex]
So the distance between (0, 0) and (2, 6) is different than 3 units, meaning that the point is not in the circle.
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Please help: 6m - m = 5/6(6m - 10)
Will mark brainliest!!
Answer:
No solution.
Step-by-step explanation:
[tex]6m-m=\frac{5}{6}(6m-10)\\5m=5m-\frac{25}{3}\\0\neq -\frac{25}{3}[/tex]
Therefore, there is no solution.
When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m
Answer:
B .62.5 m
Step-by-step explanation:
convert Kmh-1 in to ms-1
30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1
60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1
acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2
V^2 = U^2 +2aS
(16.6)^2 = (8.3)^2 + 2×1.66 ×S
S = 62.5 m
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other.
Answer:
where are the numbers
Step-by-step explanation:
9 in.
13 in.
10 in
Drawing not to scale
b. 90 in?
45 in?
d. 292.5 in.
c. 32 in?
a.
Answer:
a, a, d
Step-by-step explanation:
44
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 10 and h = 9 , then
A = [tex]\frac{1}{2}[/tex] × 10 × 9 = 5 × 9 = 45 in² → a
45
The area (A) of a parallelogram is
A = bh ( b is the base and h the perpendicular height )
Here b = 2 and h = 4 , then
A = 2 × 4 = 8 m² → a
46
A = bh ( with b = 4 and h = 10 )
A = 4 × 10 = 40 m² → d
if x =2 y =3 find the value of x^2-xy^2+y^2
Answer:
i hope it will help
Step-by-step explanation:
I did not get the equation so I solve it with two methods
(a/b)^x-1 = (b/a)^x-3
Answer:
x = 2
Step-by-step explanation:
I will be marking brainliest please help me with these questions.
Answer/Step-by-step explanation:
1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:
Area of shaded region = area of triangle - area of rectangle
Area of shaded region = ½*base*height - length*width
1. a. Volume of triangular prism = area of triangular base * height of prism
Volume of triangular prism = ½bh * H
Where,
b = 6 m
h = 4 m
H = 8 m
Substitute
Volume of prism = ½*6*4*8
Volume of prism = 96 m³
b. Volume of sphere = ⁴/3πr³
Where,
r = 9 cm
Substitute
Volume = ⁴/3*π*9³
Volume = ⁴/3*π*729
Volume ≈ 3,053.6 cm³ (nearest tenth)
2. Use Pythagorean theorem to find the height of the cone
radius of the cone (r) = ½(16) = 8 cm
Slant height (l) = 11 cm
height (h) = ?
Using Pythagorean theorem, we have:
h = √(l² - r²)
Substitute
h = √(11² - 8²)
h = √(57)
h ≈ 7.5 cm (nearest tenth)
b. Volume of the cone = ⅓πr²h
where,
r = 8 cm
h = 7.5 cm
Volume = ⅓*π*8²*7.5
Volume = 502.7 cm³ (nearest tenth)
HELP QUICK ILL GIVE BRAINLIEST
Answer:
here's the answer to your question
Answer: √18
√(4-1)^2 + (5-2)^2
√9 + 9
√18
Answered by Gauthmath must click thanks and mark brainliest
if you have 500 dollars and spend 20 every week then what would be the slope explain
Answer:
y=-20m+500
Step-by-step explanation:
provisions for 630 men to last for 25 days. How many men must be transferred to another camp so that the food lasts for 30 days?
Answer:
105
Step-by-step explanation:
25 days = Food for 630 men
30 days = x (Inverse variation)
30 * x = 630 * 25
x = 630 * 25/30
= 21 * 25
= 525 men.
630 - 525 = 105 men.
Therefore, 105 men must be transferred to another camp so that the food lasts for 30 days.
What is the difference between-5 and 2
Answer:
7
Step-by-step explanation:
Going from -5 to 2 we get
1) -4
2) -3
3) -2
4) -1
5) 0
6) 1
7) 2
So, in total, there are 7 numbers between -5 and 2
If 12 out of 30 fruits are oranges, how many oranges fruits will there be per 100 fruits total?
Answer:
40 oranges are there in 100 fruites.
HELP DUE IN 10 MINUTES
Answer:
Step-by-step explanation:
For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169
Solve algebraically, b^2= 144, so b=12, which is the height.
Part B
Determine the surface area of each cardboard piece, and add together.
20 × 13 × 2 = 520
1/2 × 10 × 12 × 2 = 120
20 × 10 = 200
So approximately 840 cm of cardboard was used
If the blue radius below is perpendicular to the chord AC which is. 14 units long, what is the length of the segment AB?
Answer:
C. 7 units
Step-by-step explanation:
The given parameters are;
The length of the chord of the circle, [tex]\overline{AC}[/tex] = 14 units
The orientation of the radius and the chord = The radius is perpendicular to the chord
We have in ΔAOC, [tex]\overline{AO}[/tex] = [tex]\overline{OC}[/tex] = The radius of the circle
[tex]\overline{OB}[/tex] ≅ [tex]\overline{OB}[/tex] by reflexive property
The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord [tex]\overline{AC}[/tex]
ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)
[tex]\overline{AO}[/tex] and [tex]\overline{OC}[/tex] are hypotenuse sides of ΔAOB and ΔCOB respectively and [tex]\overline{OB}[/tex] is a leg to ΔAOB and ΔCOB
Therefore;
ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency
Therefore;
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] by definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] by segment addition postulate
∴ [tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{AB}[/tex] = 2 × [tex]\overline{AB}[/tex]
∴ [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex]/2
[tex]\overline{AB}[/tex] = 14/2 = 7
[tex]\overline{AB}[/tex] = 7 units.
Answer:
7 units
Step-by-step explanation:
Find the value of x for which (4/5)-4 X(4/5)-7 = (4/5)2x-1
Answer:
0.8 -4*0.8-7=0.8*2x-1
0.8-3.2-7=1.6x-1
0.8-10.2+1=1.6x
1.8-10.2=x1.6
-8.4=x 1.6
x= -8.4 / 1.6
x= - 5.25
(c) 63 divided by 3 = 21 , Show how you use this to work out 0.63 divided by 0.3.
Answer:
0.63 ÷ 0.3 = 63 x 10^-2 ÷ 3 x 10^-1 = 63 / 3 x 10^(-2--1) = 21 x 10^-1 = 2.1
Answer:
2.1.
Step-by-step explanation:
63/3 = 21
0.63 = 63 / 100
and 0.3 = 3 / 10
so 0.63/0.3 = 63 /100 / 3/10 = 63/100 * 10/3
= 63/3 / 10
So the answer is 21 / 10 = 2.1.
A regular square pyramid has a slant height of 5 in and a base area of 49 in2. Find the surface area of the pyramid. ------------------------------------------------------------------------------------------- 171.5 square inches 70 square inches 119 square inches 245 square inches
Answer:
C: 119 square inches
Step-by-step explanation:
We are given;
Slant height; L = 5 in
Base area; B = 49 in²
Since it's a square pyramid, the base portion has a square shape.
Thus, area of base = x²
Where x is a side of the square.
Thus;
x² = 49
x = √49
x = 7
Perimeter of base = 7 × 4 = 28 in
Area of pyramid = ½PL + B
Plugging in the relevant values;
Area of pyramid = (½ × 28 × 5) + 49
Area of pyramid = 119 in²
Question 16 of 17
Which of the following best describes the graph below?
A. Independent variable
0 o a
B. A relation that is a function
C. A relation that is not a function
D. Dependent variable
m. Proportions
1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?
Answer:
height of tree is 27 ft
Step-by-step explanation:
The corresponding parts of the problem are in proportion
let h be the height of the tree , then
[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )
7h = 189 ( divide both sides by 7 )
h = 27
Height of tree is 27 feet
What is the value of the expression below when x=3
10x²- 7x + 10
Answer: 79
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
10x² - 7x + 10
x = 3
Substitute the value into the expression
= 10 (3)² - 7 (3) + 10
Simplify by multiplication
= 10 (9) - 21 + 10
= 90 - 21 + 10
Simplify by subtraction
= 69 + 10
Simplify by addition
= 79
Hope this helps!! :)
Please let me know if you have any questions
Answer:
92
Step-by-step explanation:
The variable 'x' shows up twice in this expression. Replace each instance of 'x' with 3:
10(3)^2 - 7(3) + 10 = 10(9) - 21 + 19 = 92
