Answer:
Equation: y = 0.4x
y = 2.4
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant
Plug in x and y:
y = kx
10 = k(25)
Solve for k:
0.4 = k
So, the equation is y = 0.4x
Then, use this equation to find y when x = 6:
y = 0.4x
y = 0.4(6)
y = 2.4
A direct proportion is a proportion such that the ratio between both variables remains constant thus the given proportion will be y = 04x and the value of y at x = 6 will be 2.4.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
a)
Let's say the direct proportion as,
y = kx
Given that y = 10 when x = 25.
10 = k(25)
Solve for k,
0.4 = k
Therefore, the equation will be y = 0.4x
y = 0.4x
b)
The value of y when x = 6
y = 0.4(6)
y = 2.4
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A waiter earned a 7% tip. What decimal is equivalent to 7%?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Find x
13x+5)
(6x – 14)°
y + 8)
Answer:
X=21
Step-by-step explanation:
3x+5+6x-14=180
9x-9=180
9x=180+9
9x=189
x=21
-15= x/-0.5 8= what does x equal
Find the area of the trapezoid below.
4 cm
3 cm
8 cm
Answer:
4 + 8 / 2 * 3 = 18
4 + 8 = 12
12 / 2 = 6
6 * 3 = 18
Step-by-step explanation:
*Hope this helps*
9. Solve each equation.
(1 Point)
-16 = 0.26
a.) b = -71
b.) b = -80
c.) b = -83
d.) b = -74
Answer:
b = -80
Step-by-step explanation:
-16 = 0.2b
-16/0.2 = b
-80 = b
I NEED THIS ASAP I HAVE TROUBLE WITH IT PLEASEEEEEEEEEEE!!!!!!!!
WORTH 25 POINTS !!!!!!!!!
SHOW ALL WORK FOR EXTRA POINTS PLSSSSSSS!!!!!!!
Mr . williams has a piece of rope that is 22.5 meters long . he wants to cut it into
pieces that are 1.25 meter long . how many pieces of rope will he have?
Answer:
He can make 18 pieces. Observe:
22.5/1.25=18
Step-by-step explanation:
Answer:
18 pieces
Step-by-step explanation:
22.5/1.25=18
Hope this helps :)
6 Bridesmaids want to make 330 decorations for a wedding. Each
decoration takes about 2 4 minutes to make. How many hours will it take
for each person to make all the decorations?
Answer:
about 3.21 hours each
Step-by-step explanation:
First divide 330 by 6 since there are six people.
Every person needs to do 55 decorations.
I would take the average of 2-4 minutes and multiply it by 55.
55 x 3.5 = 192.5 minutes
to convert to hours divide by 60.
192.5 / 60 = 3.21
Translate the sentence into an equation. Four less than a number is 17. Which equation is correct?
x - 17 = 4
X - 4 = 17
x + 4 = 17
x + 17 = 4
Answer:
b
Step-by-step explanation:
What is the inverse of the function shown( in the form of a graph)
Answer:
[tex] y = - 1x + b[/tex]
Step-by-step explanation:
The inverse of a slope is the exact opposite slope of the original. I'll show a function below where you can easily solve future problems if you need to.
[tex] - \frac{1}{m} x[/tex]
m is the slope, so for the equation above, you simply insert the original slope, being 1, in the equation.
[tex] - \frac{1}{1} x \\ - 1x[/tex]
So the inverse slope would be -1.
Answer:1/2x
Step-by-step explanation:
Which set of number includes only intergers
Answer:
{-10, -7, 0, 98, 145}
Step-by-step explanation:
An integer is whole numbers and their opposites, doesn't have to be written as a fraction.
{-3, 0, 5/6, 5, 45} 5/6 is not an integer{-9, -3, 0, 5.7, 7.8} 5.7 and 7.8 are not an integer{-3, -2 4/5, 5, 7, 53} 2 4/5 is not an integer{-10, -7, 0, 98, 145} all are integers.need help with this problem it’s math so if you know math come on in
Answer:
The line is super close to 15 or 20. So one of those for sure
Step-by-step explanation:
Answer: its got to be 15 because the line isn't on 20
Step-by-step explanation:
guys please help me with this serous question
Answer:
Step-by-step explanation:
$1 times 5 equals $5
$30-$5= $25
$25 divide by each 5 friends equals $5. So your answer is $5
find the distance from point A to the given line
A(2,-1), y=-x+4
Answer:
using distance formula you can solve it
Image by Scientif3
Name all of the obtuse angles that share a side with ZVON.
A. ZNOS, ZNOP, ZNOQ, VOS, ZV00, ZVOP
B. ZNOS, ZNOT, ZNOV, ZVOR, ZVOU, ZVOP
C. ZNOS, ZNOT, ZNOR, ZVOR, ZVOQ, ZVOP
D. ZNOS, ZNOT, ZNOU, ZVOR, ZVOQ, ZVOP
Please select the best answer from the choices provided
A boy weighs x pounds. His younger sister weighs 53 pounds less than him. His father weighs four times as much as his sister. A simplified expression that represents the fathers weight (in pounds) is (blank -blank)
Answer:
4x-53
Step-by-step explanation:
Boy=x
sis = x-53
father = 4x-53
The WHS Football team is trying to raise money to buy new equipment so the players are selling wacko cards for $20 each if the football team needs to raise at least $3000 for equipment right any quality to represent the situation and find the least number of wacko cards the team must sale
Answer:
150
Step-by-step explanation:
3000/20
150.
$$$$$$$$$$$$$$$$$
4(5 – w) = –2(2w – 3)
In triangle ABC, angle A is 35 and angle b is 20 select all triangle which are similar to triangle ABC.
Answer:
The similar one are 1 and 5
A. Triangle DEF where ∠D is 35° and ∠E is 20°.
C. Triangle JKL where ∠J is 35° and ∠L is 125°.
D. Triangle MNO where ∠N is 20° and ∠O is 125°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles of a triangle is equal to 180°.
Given, A triangle ABC has ∠A = 35° and ∠B = 20°.
∴ ∠C = 180° - 35° - 20°.
∠C = 125°.
Triangle will be similar if every corresponding angle of different triangles has the same measure.
So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20°.
Triangle JKL where ∠J is 35° and ∠L is 125°.
Triangle MNO where ∠N is 20° and ∠O is 125°.
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Find the exact value of cos(a-b) given sin(a)=-4/5 and cos(b)=-5/8 for a in Quadrant III and B in Quadrant II.
See picture for answer choices.
Answer: B
Step-by-step explanation:
Round 23.546 to the nearest tenth and the nearest hundredth. Explain your thinking.
Answer:
nearest tenth is 23.5
nearest hundredth is 23.55
Step-by-step explanation:any number more than 5 is rounded up to +1 for the next number so for tenth 23.546= 23.5 and for hundredth 23.546=23.55
Expand.
Your answer should be a polynomial in standard form.
(b^2 + 4b + 4 )(-b+3)=
(b2+4b+4)(-b+3)
(b2)(-b)+(b2)(3)+(4b)(-b)+(4b)(3)+(4)(-b)+(4)(3)
-b3+3b2-4b2+12b-4b+12
-b3-b2+8b+1
Parker grew
2 1/2 inches each year for the past 3 years. How many inches total has Parker grown in the past 3
years?
Answer:
it will be 7 and 1/2
Step-by-step explanation:
2 and 1/2 x 3=7 and 1/2
eye blue like the Atlantic and im going down like the Titanic
Answer:
how is this a question
Step-by-step explanation:
In triangle ABC, angle BAC = 90
Work out the size of angle DAC AND DCA?
Quick plz:)
Answer:
Easy man it 9999
Step-by-step explanation:
which expression represents a negative number
15 - (-26)
(-9)(-9)(-9)
-126/-6
(-12) (-24)
Answer:
15-(-26)
Step-by-step explanation:
positive is lower than negative so the remaining number will be negative.
The original Volkswagen Beetle follows
a quadratic curve, write an equation if
the height is 5 feet long and the length
is 14 feet long. Show your work in the
sketchpads below.
Answer:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
Step-by-step explanation:
In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).
From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.
So, there are two ways in which we can build a quadratic equation:
Standard form:
[tex]y=ax^{2}+bx+c[/tex]
or
Vertex form:
[tex]y=a(x-h)^{2}+k[/tex]
Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)
So in this case: h=0 and k=5, which simplifies our equation a lot:
[tex]y=a(x-0)^{2}+5[/tex]
[tex]y= ax^{2}+5[/tex]
So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:
[tex]0=a(7)^2+5[/tex]
and now we can solve for a:
[tex]-5=49a[/tex]
[tex]a=-\frac{5}{49}[/tex]
so this completes our equation:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
whose graph looks like the one in the attached picture.
The price of an item has been reduced by 45%. The original price was $85.
Answer:
$38.25
Step-by-step explanation:
Answer:
Sale Price: $85 * 0.55 = $46.75
Step-by-step explanation:
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
Answer:
$4.50/ g - Games
Step-by-step explanation:
$18
------------- = $4.50/g
4 g
$27
------- = $4.50/g
6 g
C(x) = ($4.50/game)x, where x is the # of games played.
[tex]2s+5\geq 49[/tex]
Answer:
s≥22
Step-by-step explanation:
49-5
2s≥44
divide both sides of the inequality by 2
so 2s≥44 then turn into s≥22
FInd the value of x if L, M belongs to line KM
Answer:
k
Step-by-step explanation:
k=k
