can someone please help me figure this out? this is a summative and I'm failing for the year. it's algebra 1.
Answers
Part (a)
x = number of bass caughty = number of trout caughtx and y are nonnegative whole numbers.
3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds. Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.
In short, we end up with the equation 3x+2y = 34
Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.
The second equation is 5x-2y = 14
------------
Answer:
3x+2y = 34
5x-2y = 14
Both equations are needed to form this particular system.
===================================================
Part (b)
We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).
===================================================
Part (c)
Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.
3x+5x becomes 8x2y + (-2y), aka 2y-2y, becomes 0y and the y terms go away34+14 simplifies to 48After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.
Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y
3x+2y = 34
3(6)+2y = 34
18+2y = 34
2y = 34-18
2y = 16
y = 16/2
y = 8
So we can see that Pat caught 8 trout as well.
The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.
Solution: (x,y) = (6,8)
Interpretation: Pat caught 6 bass and 8 trout
Related Questions
A researcher conducts an independent-measures, two-factor study with two levels of factor A and three levels of factor B, using a separate sample of n = 10 participants in each treatment condition. What are the df values for the F-ratio evaluating the main effect of factor A? (Hint: Enter in the degrees of freedom for the numerator first and the degrees of freedom for the denominator second.)
Answers
Answer:
(1, 36)
Step-by-step explanation:
Degrees of freedom for the F-test of the two way ANOVA
Here, we use a two factors, independent measures ANOVA, where, factor [tex]A[/tex] has 2 level and a factor [tex]B[/tex] also has 2 levels.
So, here,
[tex]$k_1$[/tex] = number of levels of A = 2
[tex]k_2[/tex] = number of levels of B = 2
And n = sample size in each treatment condition = 10
So we have,
[tex]d_1[/tex] = df of the main effect A = ([tex]$k_1$[/tex] - 1) = 2 - 1 = 1
[tex]d_2[/tex] = df of the main effect A = ([tex]$k_2$[/tex] - 1) = 2 - 1 = 1
[tex]d_3[/tex] = df of interaction effect (A x B) = ([tex]$k_1$[/tex] - 1)([tex]$k_2$[/tex] - 1)
= (2-1)(2-1)
= 1
And [tex]d_4[/tex] = df of within variation (i.e. error variation) = [tex]$k_1k_2(n-1)$[/tex]
= 2 x 2 x (10 - 1)
= 36
So, the df value for the F-ratio evaluating the main effect of factors-A is
= ([tex]d_1, d_4[/tex])
= (1, 36)
would it be B or C? help me please :(
Answers
Answer:
2x^2
Step-by-step explanation:
2x+x
3x
x(2+1)
2x+x
3x
2x^2(no equivalent to other option)
3x
what is 5¹? and just what does ¹ mean? like whats the formula for the equation?
Answers
Answer:the answer is 5 it means you mutiply five that many times
Step-by-step explanation:
Answer:
5¹=5
5¹ means that you multiply 5 by itself 1 times
Two searchlights on the shore of a lake are located 3020 yd apart. A ship in distress is spotted from each searchlight. The beam from the first searchlight makes an angle of 38 degrees with the baseline. The beam from the second light makes an angle of 57 degrees with the baseline. Find the ship's distance from each searchlight.
Answers
Answer:
x₁ = 1866.2 yd distance between ship and searchlight in C
x₂ = 2542.5 yd . distance between ship and searchlight in B
Step-by-step explanation:
The ship (point A) and the two searchlights points ( B and C) shape a triangle.
We have α = 38° ( opposite side x₁ or distance between ship and point C and β = 57 ° ( opposite side x₂ or distance between ship and point B then γ = 180 - ( α + β )
γ = 85°
Applying sin´slaw
x₁ / sin 38 = x₂/ sin57 = 3020 / sin 85
from sin table we find:
sin 38 = 0.6156
sin 57 = 0.8387
sin 85 = 0.9962
Then
x₁ / 0.6156 = 3020 / 0.9962
x₁ ( the opposite side to angle 38° ) / 0.6156 = 3031.5
x₁ = 3031.5*0.6156
x₁ = 1866.2 yd
x₂ = 3031.5 * 0.8387
x₂ = 2542.5 yd
Jara quiere fabricar un cohete con cartulina. Para ello ha construido un cilindro de 0,25 metros de radio y medio metro de altura y un cono con el mismo radio y la mitad de la altura. ¿Que volumen ocupa su cohete? Ayudaaa
Answers
Respuesta:
0,114 m³
Explicación:
El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono
Volumen del cilindro
El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.
Vcil = π × r² × h
Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³
Volumen del cono
El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.
Vcono = 1/3 × π × r² × h
Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³
Volumen del cohete
Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³
Austin is baking a pie in a pan that has a diameter of 8 inches. He wants to cover the top of the pie with a pie crust. What is the area of the crust that will cover the top of the pie?
Answers
The area of the crust that will cover the top of the pie is 50.24 square inches.
What is a circle?
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The baking pan is in the shape of a circle.
The diameter of a baking pan = 8 inches
So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]
⇒ [tex]r=\frac{8}{2}[/tex]
⇒ [tex]r=4[/tex]
The area of the crust that will cover the top of the pie is
[tex]A=\pi r^{2}[/tex]
we know that the value of π is 3.14.
On substitute the above values,
⇒ [tex]A=(3.14)(4)^{2}[/tex]
⇒ [tex]A=(3.14)(16)[/tex]
⇒ [tex]A=50.24[/tex]
Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.
Learn more about circles here
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find the zeros the polynomial fx=2x^2 +9x-5
Answers
Answer:
The zeros the polynomial :
X=(1/2 , –5)
You have a cooking triangle at your camp. It makes great
hot dogs on a camp fire. The triangle has an area of 14
square feet. The height is four feet. What is the length of the
base?
Answers
Answer:
7 square feet
Step-by-step explanation:
We know that area is (h*b / 2)
Therefore, we find b:
(14 * 2) / 4 = 7
Please give brainliest
Which number is greater than 555,621,000?
A. 5.0 x 10
B. 6.2 x 10
C. 5.55621 x 10
D. 9.99 x 10
Answers
Answer:
D
Step-by-step explanation:
im smart.
Complete the square for the function y = x2 + 6x +7. Which features are correctly stated?
A)
Axis of symmetry at x = -2
B)
Minimum = -2 at x = -3
Vertex form: (x + 3)2 - 2
D)
Zero at x = = √2-3
E)
Zero at x = 3-VE
Answers
Answer:
B and C
Step-by-step explanation:
The square for the function; [tex]y = x^2 + 6x +7[/tex] . Hence, the Vertex form of the function is [tex](x + 3)^2 - 2[/tex]. The function will be zero at x = 3- √E
What is a system of equations?A system of equations is two or more equations that can be solved to
get a unique solution. the power of the equation must be in one degree.
The square for the function;
[tex]y = x^2 + 6x +7[/tex]
Minimum = -2 at x = -3
Hence, the Vertex form of the function is [tex](x + 3)^2 - 2[/tex].
The function will be zero at x = 3- √E
Learn more about equations;
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40:√100 + √9.√36
????
Answers
Answer:
28
Step-by-step explanation:
[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]
A teacher asked four students to estimate the length of a grain of rice. Jack answered 4.5 x 10^-3 kilometer, Lilly answered 4.5 x 10^-3meter, Diego answered 4.5 x 10^-3vcentimeter, and Willa answered 4.5 x 10^-3 millimeter. Who gave the best answer
Answers
Answer:
Lilly
Step-by-step explanation:
According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.
5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m
Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.
4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m
Lilly answered 4.5 × 10⁻³ meters.
Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.
4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m
Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.
4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m
As we can see, Lilly gave the best answer (same order of magnitude).
3. At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is taken.
What is the probability that 3 of those chips are defective?
.
Answers
Answer:
Probability of three chip being defective is 0.012
Step-by-step explanation:
Probability of a computer chip being defective is 0.08 or 8%
Total random sample = 20
Probability of three chip being defective = 3/20 * 0.08
= 0.012
Answer:
B) 0.14
Step-by-step explanation:
N=20
K=3
P=0.08
CoE= 1140
1140 x (0.08)^3 x (.92)^17
1140 x (0.000512) x (0.2423) = 0.141425 or B
Helppppppp meeeeeee I don’t understanddddd
Answers
Answer:
DF = 9.5
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
DE × DF = DC × DB
5(5 + x) = 5(5 + 4.5) ← divide both sides by 5
5 + x = 5 + 4.5
5 + x = 9.5 ( subtract 5 from both sides )
x = 4.5
Then
DF = DE + EF = 5 + 4.5 = 9.5
∠A and angle ∠B are vertical angles. If m∠ A=(2x-4) and ∠B = (x+1), then find the value of x
Answers
Answer:
x = 5
Step-by-step explanation:
vertical angles are equal so we can write this equation:
2x-4 = x+1
x - 4 = 1
x = 5
Maria put 18 crayons in 3 different baskets. She put the number of crayons in each basket.
How many crayons did Maria put in each basket?
Answers
Answer:
There are 18 crayons, and 3 baskets. Each basket has the same number of crayons. Therefore, we divide 18 into 3 different groups (each group = each basket). So, we have 18 ÷ 3, which is 6.
So, there are 6 crayons in each basket.
Answer:
6
Step-by-step explanation:
what is the sum of the first 6 odd numbers?
A. 26
B. 36
C. 32
D. 42
PLEASE HELP ( 10 PIONTS & FRIEND) :)
Answers
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Please help me, this is like the easiest thing but I'm stuck
Answers
Answer: A. 384 sq. mm
Step-by-step explanation: The area for the square is 12x12 or 144. The area for a triangle is base x height x 1/2. Therefore, that would be 12 x 10 x 1/2 or 60. There are 4 sides to this pyramid, so 60 x 4 = 240. We then add 144 and 240 to get 384 sq. mm.
An SRS of 100 flights by Nite-flite Airlines showed that 64 were on time. An SRS of 100 flights by Waxwing Airlines showed that 80 were on time. Let pN be the proportion of on-time flights for all Niteflite Airline flights, and let pW be the proportion of all on-time flights for all Waxwing Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines
Answers
Answer:
Step-by-step explanation:
pN = 64/100 = 0,64 = 64%
pW = 80/100 = 0,8 = 80%
The planes of Waxwing airlines are more punctual
Lara charges $12 per hour for babysitting. If f represents Lara's total fee after babysitting for h hours, which answer choice shows two correct equations that could be used to model the problem?
A: f=112handh=12f
B: h=112fandf=12h
C: f=h+12andh=f−12
D: h=f+12andf=h−12
Answers
Answer:
Can't really read that but these would work
f = 12h
h = f/12
Step-by-step explanation:
Greatest common factor of 8,56
Answers
Answer:
Propiedades del MCM de 8 y 56
Resumiendo, el mcm de 8 y 56 es 56. Se escribe como: mcm (8,56) = 56
Step-by-step explanation:
A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid? O 1.170 cubic feet 3,510 cubic feet O 117 cubic feet 390 cubic feet
Answers
Answer:
the answer is 1170 cubic feet
Step-by-step explanation:
all you have to do is multiply the length times the width times the height and divide it by three then you will get your answer if this helped you should mark this the brainliest!!
b) 6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If 6a makes $30 AED profit how much will 6b make?
Answers
Answer:
45
Step-by-step explanation:
6a 6b
2 / 3
30 / x
30×3 / 2
90/2
=45
a sequence of transformation is applied to a polygon. Select all statements which indicate a sequence of transformations where the resulting a polygon has an area greater than the original polygon.
A. Translate even units left, rotate 90 degrees clockwise about the origin.
B. Reflect over the x-axis, dilate about the origin by a scale factor of 1/2 translate up 5 unit.
C. Rotate 90 degrees counterclockwise around the origin, dilate about the origin by a scale factor of 3/2
D. Dilate about the origin by a scale factor of 2/3. rotate 180 degrees clockwise around the origin, translate down 2 units.
E. Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3
Answers
Answer:
than originally shared this meeting will
PLS HELP
AND PLEASE EXPLAIN
Answers
Answer:
x=6, y=5 1/3 or 5.3333
Step-by-step explanation:
On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Answers
Answer:
Step-by-step explanation:
Sp of an article= Rs 2300
profit%=15%
let Cost Price of an article be X
SP=CP+PROFIT %*CP
2300=X+15/100*X
2300=100X+15X/100
2300*100=115X
230000/115=X
2000=X
Therefore cost price of an article is Rs 2000.
He sum of two numbers is negative twelve, and one number is five less than the other. Using the variables mm and nn to represent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by a comma.
Answers
Answer:
mm + nn = -12
mm - nn = 5
Step-by-step explanation:
two equations can be derived from the question
i need help!! im struggling with this question
Answers
Answer:
1 gallon : 25.6 miles
Step-by-step explanation:
So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.
So basically, we see the first set of units is:
2 gallons - 51.2 miles
So basically, for every 2 gallons, there are 51.2 miles.
To find the ratio, or rate, we must find the miles per gallon.
We can do that by dividing both sides by 2:(g=gallons, m=miles)
2g/2=51.2/2m
=
g=25.6
So for every gallon, there is 25.6 miles.
We can write this as:
1 : 25.6
Hope this helps!
Answer:
25.6
Step-by-step explanation:
51.2/2=25.6
Help me with this below
Answers
Answer:
PlayStation = 175
Step-by-step explanation:
X box = x
PlayStation = x+15
X box + PlayStation = 335
x + x+15 = 335
Combine like terms
2x+15 = 335
Subtract 15
2x+15 -15 = 335-15
2x = 320
Divide by 2
2x/2=320/2
x =160
x box =160
PlayStation = x+15 = 160+15= 175
Answer:
Playstation costs 175 pounds
Step-by-step explanation:
335 = 15 + x + x
335 = 15 + 2x
335 - 15 = (15 - 15) + 2x
320 = 2x
320/2 = 2x/2
x = 160
CHECK WORK:
(15 + 160) + 160 = 335
(175) + 160 = 335
335 = 335
10 A triangular prism and its dimensions are shown in the diagram.
5 cm
5 cm
8 cm
6 cm
What is the lateral surface area of this triangular prism in square centimeters?