Answer:
Number of Spiders: 8
Number of Dragonflies: 7
Number of Houseflies: 5
Step-by-step explanation:
s= spider
d= dragonfly
h= housefly
Heads:
20= s+d+h
Legs:
136= 8s+6d+6h
Wings:
19= 0s+2d+1h
Solve with substitution.
Divide the second equation by 2.
136= 8s+6d+6h
68= 3d+3h+4s
Set the last equation in terms of d.
19= 0s+2d+1h
d= [tex]\frac{19}{2} -\frac{1}{2}h[/tex]
Substitute what we just found (d) into the first and our new second equation. Simplify.
20= s+d+h
20= s+[tex]\frac{19}{2} -\frac{1}{2}h[/tex]+h
h+2s=21
68= 3d+3h+4s
68= 3([tex]\frac{19}{2} -\frac{1}{2}h[/tex])+3h+4s
3h+8s=79
Take both simplified equations and solve with elimination. Do this by multiplying the top equation by negative 3.
h+2s=21
3h+8s=79
-3h-6s=-63
3h+8s=79
2s=16
s=8
Plug in s=8 into the other equation.
h+2s=21
h+2(8)=21
h=5
Plug in h=5 into the last equation we rewritten.
[tex]d= \frac{19}{2} -\frac{1}{2} h[/tex]
[tex]d=\frac{19}{2} -\frac{1}{2}(5)[/tex]
d=7
(d,h,s)= (7,5,8)
Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?
Answer:
380 days
Step-by-step explanation:
38 × 1 = 38 38 × 6 = 228
38 × 2 = 76 38 × 7 = 266
38 × 3 = 114 38 × 8 = 304
38 × 4 = 152 38 × 9 = 342
38 × 5 = 190 38 × 10 = 380
20 × 1 = 20 20 × 6 = 120
20 × 2 = 40 20 × 7 = 140
20 × 3 = 60 20 × 8 = 160
20 × 4 = 80 20 × 9 = 180
20 × 5 = 100 20 × 10 = 200
20 x 10 = 200 20 x 20 = 400
so 20 x 19 = 380
First common number in both times table is 380
if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP
Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer
Which capacities are written in order from least to greatest?
A.2L, 2900mL, 250cl, 24dL
B.2L, 24dL, 250cL, 2900mL
C.2900mL, 250cL, 2L, 24dL
D.2900mL, 2L, 250cL, 24dL
Answer:
B
Step-by-step explanation:
A. 2L, 2.9L, 2.5L, 2.4L
B. 2L, 2.4L, 2.5L, 2.9L
C. 2.9L, 2.5L, 2L, 2.4L
D. 2.9L, 2L, 2.5L, 2.4L
Answer:
what is in order from least to greatest is B
Step-by-step explanation:
as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)
A line passes through (0, 2) and has a slope of 1/3.
What is the equation of the line in slope-intercept form?
A) y=1/3x+2
B) y=1/3x−2
C) y=−1/3x+2
Answer:
A)
y=1/3x +2
Step-by-step explanation:
equation of line is y=mx+c
so here the points are (0,2) and the gradient,m is 1/3
the y-intercept, c is 2
as when substituting the result is 2 for the y-intercept
substituting:y=mx+c (0,2)
2=1/3 (0) +c
c= 2
The equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope-intercept form of the line is:
y=mx+c
The points are (0,2) and the gradient,m is 1/3
c= 2
y = x/2 + 2
Thus, the equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
PLEASE HELP!!!!!!!!! URGENT!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is
A. True
that is correct
Pls help me solve thisss
Answer:
J (-5,2)
Hope this helps!
I need help pleaseeeeee
Answer:
top one is 8x bottom is 9
Step-by-step explanation:
Which equation can be simplified to find the inverse of y = 2x2?
1/y=2x^2
y=1/2x^2
-y=1/2x^2
x=2y^2
Answer:
D. x = 2y²Step-by-step explanation:
The step in working out the inverse is to swap over the variables.
If we apply same to given equation, we'll have:
y = 2x² → x = 2y²It gives us the option D
Answer:
Option D
Step-by-step explanation:
y=2x²Interchange x and y
x=2y²Hence option D is correct
y²=x/2y=√x/2Choose yes or no to tell if the digit in the tens place is 1/10 of the value of the digit in the hundreds place 54,450
Answer:
No
Step-by-step explanation:
54,450
Digit in tens place = 5
value = 50
54,450
Digit in hundreds place = 4
value = 400
1/10 value = 40
No the digit in the tens place is more than 1/10 the value of the digit in the hundreds place
50 is greater than 40
can somebody please help me
Answer:
The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].
Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.
Hence, the probability of drawing another pink ball after drawing the first pink ball would be:
[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]
Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width
Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.
Width = wLength = w + 16The calculation will go thus:
Perimeter = 2l + 2w
240 = 2(w + 16) + 2w
240 = 2w + 32 + 2w
240 = 4w + 32
4w = 240 - 32
4w = 208
w = 208/4 = 52
Therefore, the length will be:
= w + 16 = 52 + 16 = 68
Read related link on:
https://brainly.com/question/25748983
(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с
Answer:
c = 48
Step-by-step explanation:
Given c varies directly as a and inversely as b then the equation relating them is
c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation
To find k use the condition c = 15 when a = 18 and b = 40 , then
15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )
600 = 18k ( divide both sides by 18 )
[tex]\frac{600}{18}[/tex] = k
[tex]\frac{100}{3}[/tex] = k
c = [tex]\frac{100a}{3b}[/tex] ← equation of variation
When a = 36 and b = 25 , then
c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48
Use exponents to write the prime
factorization of 48.
Answer:
48=2^4x3
Step-by-step explanation:
48=2x2x2x2x3
48=2^4x3
Hope this helps :)
PLZ HELP FAST!!
Alson earns a 7% commission on every sale he makes. Let a represent the commission Alson earns.
Damon earns the same commission as Alson. Let d represent the commission Damon earns.
Stefan does not earn the same commission as Alson. Let s represent the commission Stefan earns.
Which statement is true?
d = s
a = s
a = d
a ≠ d
Answer:
a = d
Step-by-step explanation:
I recommend writing the math out.
a = d ≠ s
d can not be equal to s, the same why a can not be equal to s. a and d are the same. a is equal to d, so it can not be a ≠ d. By process of elimnation, that leaves us with a = d
Susie has 5/8ths of a gallon of tea and needs to fill as many glasses as possible. If each glass holds 2/7ths of a cup, how many glasses can she fill? Hint: One gallon is the same as 16 cups. Pls hurry! Will mark brainliest.
Answer:
35 glasses
Step-by-step explanation:
Susie has 5/8 gallon = 5/8 * 16 = 10 cups
10 cups ÷ 2/7 cups per glass = 35 glasses
BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment
Answer:
13. PS ≈ 28.30
14. ∠CDB ≈ 68.74°
Step-by-step explanation:
13 =========================
We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)
[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]
or x ≈ 20.74
Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.
[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]
or y ≈ 28.30
PS ≈ 28.30
14 ======================
Start from ∠A and use tan.
[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]
x ≈ 19.30
Then from ∠CDB, we'll use inverse cos.
[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]
y ≈ 68.74°
∠CDB ≈ 68.74°
=======================
I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.
Help pleaseee giving brainliest !
Answer:
the answers you chose are correct.
Step-by-step explanation
b and d
HI I REALLY NEED HEP PLEASEE
Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.
A store is selling a tv that costs $355 for $15% off. How much is the tv.
Answer:
301.75$
Step-by-step explanation:
have a good day
Can u please help me with this. I’ll make brainliest
Answer:
number
Step-by-step explanation:
number than number lol sorry i dont know i wish i could help you
1 A function is represented by the following set of
ordered pairs.
{(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7
B y = 6x - 7
c y=2x - 7
Dy=2x-7
Answer:
C. y = 2x -7
Step-by-step explanation:
You can use any pair of points to find the slope. Use the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-7 -(-13))/(0 -(-3)) = 6/3 = 2
This is the coefficient of x in the slope-intercept form ...
y = mx +b
The second point (0, -7) tells you that b = -7, so the equation is
y = 2x -7 . . . . matches C
1 A function is represented by the following set of ordered pairs. {(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7B y = 6x - 7c y=2x - 7Dy=2x-7Therefore the answer i letter D.
#CarryOnLearning
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22
Answer: 22
Step-by-step explanation: 1/4a + 1/3a + 8 = 22
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
Mark can make 424242 birthday cakes in 777 days.
How many birthday cakes can Mark make in 555 days?
birthday cakes
I paid $15.48 for 12 songs on iTunes. How much did 1 song cost?
Answer:
$1.29
u divide 15.48 by 12. trust
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.
three eighths plus seven sixteenths equals blank
Question 2 options:
thirteen sixteenths
ten twenty fourths
ten sixteenths
four sixteenths
Answer:
thirteen sixteenths
Donna cut away 7.75 meters of rope. Before that, she had 12 meters of rope. How much rope does Donna have left?
Answer: 4.25 meters of rope
Step-by-step explanation:
Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.
Hope it helps :) and let me know if you want me to elaborate.
Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes
Answer:
25
Step-by-step explanation:
Its just 25
(-2.05) - (-5)
explain and show how u did this
Answer:
2.95
Step-by-step explanation:
When we have a problem like this (-2.05)-(-5)
It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95
Find the perimeter.Simplify your answer.
Answer:
24x-6
Step-by-step explanation:
To find the perimeter we have to ads all of our sides to together
8x-3+8x-3+4x+4x
Combine light terms
24x-6