=========================================================
Explanation:
We don't have a direct variation because the initial cost isn't $0
The equation for this situation is y = 25x+375, where x is the number of yearbooks purchased and y is the total cost.
Notice how this line doesn't go through the origin. All direct variation graphs are straight lines through the origin.
So that's why we have partial variation instead.
The initial cost is simply the set up cost, aka the cost when x = 0. That initial cost is $375. The initial cost is located at the y intercept.
From that initial cost, we then add on multiples of $25 depending on how many yearbooks are purchased.
-----------------
In short, because the initial cost is $375, which is some nonzero value, this means we don't have direct variation. Instead, we have partial variation.
Can y’all help me with this answer ASAP
Answer:
sqrt(24)
Step-by-step explanation:
The number is slightly less than 5
We know that 5^2 =25
sqrt(25) = 5
so the number has to be less that sqrt(25)
The only number less than sqrt(25) is sqrt(24) and sqrt(20)
sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)
Fine the angle of the triangle using sides
Answer:
35.54
Step-by-step explanation:
use inverse tan
soh cah toa
we have both opposite and adjacent so we are using tangent
[tex]tan^{-1} (\frac{5}{7} )[/tex]
put that into a calculator and it would give you approximately 35.54 degrees
18 Ib. Then her dog loses another 1 lb. Finally, it
Cece dog
gains lb. What is the total change in her dog's weight? how your work. Pleasss help
Answer:
17 lb I guess 8 don't think the question is full
Step-by-step explanation:
the question is half
what is the answer to this problem
9514 1404 393
Answer:
5.7·10^-3
Step-by-step explanation:
The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.
Which table of ordered pairs represents a proportional relationship?
-3
y
3
2
1
-5
1
O
داده |
-5
oh w
х
-2
-4
-6
-5
-7
-9
立
-2
-3
y у
0
-1
Answer:
second x -1,-3,-5 y 1 3 5 for proportional relation
Could someone walk me through this problem please?
yeah me too can someone help us?hope someone helps :)
Solve for 4
NEED HELP ASAP
Answer:
32 = <4
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
15+17 = <4
32 = <4
The names of every month are written on separate pieces of paper and put into a basket. You draw a piece of paper at random. Find P(month beginning with the letter J).
A) 1/6
B) 1/3
C) 1/12
D) 1/4
Answer:
D
Step-by-step explanation:
Total Number of months = 12
How many start from J = 3
Probability= 3/12
= 1/4
Answer from Gauthmath
Which of these is an example of an output?
A
swiping on phone screen
B
the notification sound of a text message
C
typing on a keyboard
D
talking into a microphone
Answer:
d talking into microphone
what is the solution to the equation?
[tex] \frac{2 }{x} - \frac{x}{x + 5} = \frac{10}{ {x}^{2} + 5x } [/tex]
a. 0
b. 2
c. 0 and 2
d. no solution
Answer:
Hello,
answer B
2
Step-by-step explanation:
[tex]\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\[/tex]
For problems 1 - 4, write a two-column proof.
Answer:
Solution given:
1:
<5=<6
<5+<4=180°[co interior angle]
Substituting value of<5
<6+<4=180°[it shows a property of co interior angle]
So
l || m
2:
<1=90°[ l is perpendicular to t]
<2=90°[m is perpendicular to t]
since
<1=<2[shows property of corresponding angle]
:.
l || m.
3:
<1=<2
<1=<3
substituting value of<1 in second one
<2=<3[which shows property of alternate Angel]
So
Segment ST || segment UV.
4:
<RSP=<PQR......[I]
<QRS+<PQR=180°.....[ii]
from equation I and ii we get
<RSP+<QRS=180°[which shows property of co interior angle ]
So
Segment PS || segment QR
The questions given in the pdf are these pictures, then we can get the solutions.
1) Solution
It is given that,
→ <5 = <6
Then the co interior angles,
→ <5+ <4 = 180°
Now substituting value of <5,
→ <6+ <4 = 180°
This shows property of co interior angle.
Therefore, L II m.
2) Solution
Take it as,
→ <1= 90°
In above eq. L is perpendicular to t.
→ <2 = 90°
In above eq. m is perpendicular to t.
Then it will be,
→ <1 = <2
It shows property of corresponding angle.
Therefore, L II m.
3) Solution
It is given that,
→ <1 = <2 and <1 = <3
Now substitute,
The value of <1 in second one,
→ <2 = <3
This shows property of alternate angle.
Therefore, ST II UV.
4) Solution
It is given that,
→ <RSP = <PQR --- (1)
→ <QRS + <PQR = 180° --- (2)
Now from the equation (1) and (2),
→ <RSP + <QRS = 180°
It shows property of co interior angle.
Therefore, PS II QR.
please help me asap:)
will give brainliest to the correct answer
Answer:
A=29.12ft^2
Step-by-step explanation:
first, find the area of the triangle and semicircle separately, then add them together to find the total area of the figure:
area of a triangle: 1/2bh
1/2(6)(8)=24ft^2
area of a circle: πr^2
(**we're using 3.14 instead of pi, and it's a semicircle)
1/2(3.14)(4)^2
1/2(3.14)(16)
1/2(50.24)
25.12ft^2
total area of the figure:
24+25.12=29.12ft^2
Answer: 49.12 ft²
Step-by-step explanation:
This figure is composed of
a half-circlea right triangleFirst, find the area of the half-circle.
The area of a full circle is π · r², but since it's only half a circle, we divide that by half, resulting in (π · r²)/2
π = pi ≈ 3.14r = radius = 8/2 = 4 ftTherefore, the area of the half-circle is:
(3.14 · 4²)/2 = (3.14 · 16)/2 = 50.24/2 = 25.12 ft²
Second, find the area of the right triangle.
The area of a triangle = ½bh.
b = base length = 6 fth = height = 8 ftTherefore, the area of the triangle is:
½ · 6 · 8 = ½ · 48 = 24 ft²
Add the two areas together:
24 + 25.12 = 49.12 ft²
In one afternoon, Brian sold 25% of his chocolate bars. If he had 72 bars left, how many chocolate bars did he have to begin with?
Answer:
96 chocolate bars
Step-by-step explanation:
If Brian sold 25% of his chocolate bars and now he's left with 72, let's subtract 25% from 100%.
100% - 25% = 75%
Now, let's set up the equation & solve:
1. Set up Equation
75/100 = 72/x2. Cross-Multiply
75/100 = 72/x75 · x = 72 · 10075x = 72003. Divide both sides by 75
75x = 720075x/75 = 7200/75x = 96Therefore, Brian started with 96 chocolate bars.
Answer:
96 bars
Step-by-step explanation:
100% - 25% = 75%
[tex]\frac{75}{100}[/tex] = [tex]\frac{72}{x}[/tex]
x = [tex]\frac{100*72}{75}[/tex] = 96 bars
Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Answer:
[tex]\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}[/tex]
Step-by-step explanation:
The circumference of a circle with radius [tex]r[/tex] is given by [tex]C=2\pi r[/tex]. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle [tex]\theta^{\circ}[/tex] is equal to [tex]2\pi r\cdot \frac{\theta}{360}[/tex].
Formulas at a glance:
Circumference of a circle with radius [tex]r[/tex]: [tex]C=2\pi r[/tex] Length of an arc with central angle [tex]\theta^{\circ}[/tex]: [tex]\ell_{arc}=2\pi r\cdot \frac{\theta}{360}[/tex]Question 1:
The radius of the circle is 12 m. Therefore, the circumference is:
[tex]C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}[/tex]
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
[tex]\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}[/tex]
Question 2:
In the circle shown, the radius is marked as 2 miles. Substituting [tex]r=2[/tex] into our circumference formula, we get:
[tex]C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}[/tex]
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
[tex]\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}[/tex]
a polyhedron has 6 faces and 6 vertices. how many edges does it have?
Answer:
a polygon has 3 or more sides
There are a total of 12 boys in a chess club. If the ratio of boys to girls in the chess club is 3 to 5, what is
the total number of boys and girls in the chess club?
==================================================
Explanation:
b = number of boys = 12g = number of girls = unknownThe ratio of boys to girls is 3 to 5, which means,
b/g = 3/5
12/g = 3/5 ... plug in b = 12
12*5 = g*3 ... cross multiply
60 = 3g
3g = 60
g = 60/3 .... divide both sides by 3
g = 20 is the number of girls
b+g = 12+20 = 32 total students in the chess club.
find two solutions for f(x) = x2 + x - 6
Answer:
hope this helps! Feel free to clarify!
What is the graph of the solution set of the inequality?
Answer:
The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"
Step-by-step explanation:
PLS HELP!
When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 4 or a 5? A. 1:1 B. 1:2 C. 1:3 D. 1:5
Answer: 1:3
Step-by-step explanation:
The odds are 2/6 because you’re given 2 choices from the 6 side die you can then simplify that fraction to 1:3
Simplify: 45 ÷ 3 + 2 × 8 - 12 + 42
Answer:
61
Step-by-step explanation:
45/3 = 15
2*8 = 16
15+16-12+42 = 61
Answer:
15 + 16 + 30
and that is in total 61
Step-by-step explanation:
45/3 = 15
2×8 = 16
-12 + 42 = 30
you simplify an expression by calculating the part expressions, to be left only with the main terms and main operations.
pleaseee help mee helpp meeee
Answer:
i can help you i know this answer
______ is a contract based on your promise to pay in the future for goods and services you receive today.
allocation
credit
principal
interest
Lisa flips 2 fair coins.
What is the probability of obtaining two tails?
Answer:
1/4
Step-by-step explanation:
Each coin has a probability of 1/2 of landing on tails
What you do is multiply these probabilities together to get 1/4
Find the length of the hypotenuse of a right angle triangle if remaining side are 3 cm and 4 cm.
Answer:
5 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
let h be the hypotenuse , then
h² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
h = [tex]\sqrt{25}[/tex] = 5
Solve 4(x - 3) - 2(x - 1) > 0.
A. {x | x < -5}
B. {x | x > -5}
C. {x | x > 5}
D. {x | x < 5}
Answer:
Apply the distributive property.
4
x
+
4
⋅
−
3
−
2
(
x
−
1
)
>
0
Multiply
4
by
−
3
.
4
x
−
12
−
2
(
x
−
1
)
>
0
Apply the distributive property.
4
x
−
12
−
2
x
−
2
⋅
−
1
>
0
Multiply
−
2
by
−
1
.
4
x
−
12
−
2
x
+
2
>
0
Given:- 4(x - 3) - 2(x - 1) > 0.
Solving It:-
4(x - 3) - 2(x - 1) > 0
4x - 12 - 2x + 2 > 0
2x -10 > 0
2x > 10
x > 10/2
x > 5
So Correct Solution Set Will Be:-C. {x | x > 5}Hope This Helps YouHow many roots does the equation -11x5+5x-3=0 have?
11
3
5
Answer:
5
Step-by-step explanation:
The Fundamental theorem of Algebra states that a polynomial of degree n has n roots, some may be complex.
11[tex]x^{5}[/tex] + 5x - 3 = 0 ← is a polynomial of degree 5
Thus the equation will have 5 roots
What is the length of each leg of the hypotenuse of the triangle below?
Answer:
H^2 = P^2 + B^2
H^2 = ( 3 root 2 )^2 + ( 3 root 2)^2
H^2 = 18 + 18
H^2 = 36
H = 6
Hence , option A is correct
hope that helps ✌
Johanna will plant up to 32 acres on her farm with wheat and corn. Fewer than 11 acres will be planted with wheat
The answer is
w + c ≤ 32
w < 11
w - the number of acres of wheat
c - the number of acres of corn
Johanna will plant up to 32 acres on her farm with wheat and corn:
w + c ≤ 32
Fewer than 11 acres will be planted with wheat:
w < 11
The two inequalities are:
w + c ≤ 32
w < 11
pls pls pls pls help me with this
Answer:
5 up and 2 to the right
Step-by-step explanation:
The center will be at the same spot as circle D, dilate by 3, then the dilation maps circle C into circle D.
Who had a head start, and how many miles was the head start? Rita had a 28-mile head start. Roger had a 26-mile head start. Roger had a 25-mile head start. Rita had a 22-mile head start.
Complete question is;
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below. Who had a head start, and how many miles was the head start?
A) Rita had a 28-mile head start.
B) Roger had a 26-mile head start.
C) Roger had a 25-mile head start.
D) Rita had a 22-mile head start.
Answer:
A) Rita had a 28-mile head start.
Step-by-step explanation:
Let's assume that Roger travelled a distance of 60 miles
And that;
Rita travelled a distance of 32 miles
We are told that they travelled between Phoenix and San Diego.
Thus, it means that if they have different distances but covered same section of the trip, it means the one with higher distance started before the section of the trip.
Thus, it means that Rita had a head start of Roger since she covered only 32 miles.
Thus;
Rita had a head start of; 60 - 32 = 28 miles
