Answer:
21 laps per hour
Step-by-step explanation:
2/3 = 20/30
20/30 × 2 = 40/60
1 and 2/3 = 1 hour 40 mins
60 + 40 = 100 mins
35 (laps) = 100 (mins)
÷10
3.5 = 10
×6
21 = 60
21 laps in 1 hour
so 21 laps per hour
If triangle PML ~ triangle TRQ, find QR.
im stuck on the same problem
The measure of QR, from the triangle TRQ is 16 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle PML is similar to triangle TRQ.
From the given triangles.
ML/QR =PM/TR
(7x-9)/(2x+2) = 35/14
(7x-9)/(2x+2) = 5/2
2(7x-9)=5(2x+2)
14x-18=10x+10
4x=28
x=7
Then, QR=2x+2=16 units
Therefore, the measure of QR is 16 units.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
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Answer:
Option A. – 3
Step-by-step explanation:
From the question given above, the following data were obtained:
y = 3/4
xy² = 9/16
(x – 4) =?
Next, we shall determine the value of x. This can be obtained as follow:
y = 3/4
xy² = 9/16
x(3/4)² = 9/16
x (9/16) = 9/16
Divide both side by 9/16
x = 9/16 ÷ 9/16
x = 1
Finally, we shall determine the value (x – 4). This can be obtained as follow:
(x – 4)
x = 1
(x – 4) = 1 – 4
= – 3
If x+y = 5 and xy = 6 , find (x³+y³)
Answer:
x²+y²=13
Step-by-step explanation:
x+y=5
now,
squaring both side
(x+y)²=5²
x²+2.x.y+y²=25
x²+y²+2×6=25 (putting value of xy=6)
x²+y²=25-12
x²+y²=13
hope it helps.
The number of gallons used to wash dishes varies directly with the number of loads. If it takes 65 gallons to wash 5 loads. How many gallons would be needed to wash 3 loads?
Answer:
39 gallons
Step-by-step explanation:
65 gallons ÷ 5 loads = 13 gallons per load
13 gallons per load • 3 loads = 39 loads
Your local pizza store sells medium pizzas for $5.99 each, and breadsticks for $2.49 per order.
For a party, you decide to order 5 pizzas and 3 orders of breadsticks. There is a $4 delivery fee, and a 9.4%
sales tax will be added to the total. What will be the total bill after tax?
Answer: 42.82
Step-by-step explanation:
Dave worked 3 1/2 hours at his grandpas farm. He was paid $12 for every 1/4 hour he worked. How much money did Dave make?
Answer: 56
Step-by-step explanation:
what’s the answer? please help me on my geometry homework
Step-by-step explanation:
angle H=180-35-101=44
so arrow FG=2×44=88
A builder is trying to level out some ground with a front-end loader. He picks up some excess dirt at (9, 16) and then maneuvers through the job site along the rule (x+2, y+3), (x-3, y+4), and then (x+2, y-5) to get to the spot to unload the dirt. Find the coordinates of the unloading point. Write a rule that describes the translation from the loading point to the unloading point.
What is an equation of the line that passes through the point (6,7) and is parallel to the line 2x-3y=92x−3y=9?
Answer:
y = ²/₃x + 3Step-by-step explanation:
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
Changing to slope-intercept form:
2x - 3y = 9 {subtract 2x from both sides}
-3y = -2x + 9 {divide both sides by (-3)}
y = ²/₃x - 3 ⇒ m₁=²/₃ ⇒ m₂=²/₃
The line y=²/₃x+b passes through point (6, 7) so the equation:
7 = ²/₃×6 + b is true
7 = 4 + b
b = 3
Therefore equation in slope-intercept form:
y = ²/₃x + 3
The equation of the line passing through the point (6, 7) parallel to the line is y = 2/3x + 3
The equation in slope - intercept form :
2x - 3y = 9
-3y = 9 - 2x
Divide both sides by - 3
y = - 3 + 2/3x
Using the points (6, 7)
7 = c + 2/3(6)
7 = c + 12/3
7 = c + 4
c = 7 - 4 = 3
c = 3
The equation of the parallel line is thus :
y = 2/3x + 3Learn more : https://brainly.com/question/18106342
I need help ASAP. I'm not good with math.
Given:
The increase in pressure P is the linear function of the depth d.
[tex]P(d)=0.445d+14.7[/tex]
The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
[tex]f(x)=mx+b[/tex] ...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
[tex]P(d)=0.445d+14.7[/tex] ...(ii)
From (i) and (ii), we get
[tex]m=0.445,b=14.7[/tex]
The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost
[tex]C(n)=300+10n[/tex]
Therefore, the required cost function is [tex]C(n)=300+10n[/tex].
3 gallons of paint cover 900 square feet. How many gallons will cover 300
square feet?
Answer:
1/2
Step-by-step explanation:
what is the y intercept of a line that passes through (1,-7) and (5,-25). How do I find it.
Answer:
y- intercept = - 2.5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)
m = [tex]\frac{-25+7}{5-1}[/tex] = [tex]\frac{-18}{4}[/tex] = - 4.5 , then
y = - 4.5x + c
To find c substitute either of the 2 points into the equation
Using (1, - 7), then
- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5
y- intercept c = - 2.5
A man buys a backpack from a sporting goods store. The backpack costs $20. Find the total cost of the backpack if he lives in a county with a 7.5% sales tax.
Answer: $21 and 50 cents
Step-by-step explanation:
?????????????? ?????
Answer:
A. x² - x
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)Geometry
Area of a Rectangle: A = lwStep-by-step explanation:
Step 1: Define
l = x
w = x - 1
Step 2: Find A
Substitute [AR]: A = x(x - 1)Distribute x: A = x² - x½x + 1 ⅔ subtracted from 1 ½x - 1 ⅓
simplify IF NEEDED!!
Answer:
x-3
Step-by-step explanation:
Pleaseeeee help me
ingore the answer i put
brainliest if right
Answer:
i think its -8
if its right yaaaa but if its worng sorry very sorry:(
Someone plz help me on 16 and 17 plzz I will give brainliest
Answer:
16. 8[tex]\frac{1}{2}[/tex]-6[tex]\frac{3}{4}[/tex]=[tex]\frac{7}{4}[/tex]
17. 8[tex]\frac{1}{2}[/tex]-3[tex]\frac{5}{8}[/tex]=[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Hope this helps!
Please mark me brainliest if you can. :)
Please help. Will give brainliest. I know the answer I just don’t get the solution so I want to see how other people do it. ur supposed to use the unitary method for this.
Answer:
its very hard to see, it looks good but I can't see much.
Answer:
[tex]percentage \: increase = (25 - 22.5) = 2.5\% \\ let \: origial \: price \: be \: x \\ 2.5\% \times x = 4.5 \\ x = \frac{4.5}{2.5\%} \\ x = \frac{4.5 \times 100}{2.5} \\ x = 180 \: cents \\ new \: price = x + 4.5 \\ = 180 + 4.5 \\ new \: price = 184.5 \: cents[/tex]
What is the answer to this math question “X - 3 = 6”
Answer: x = 9
Step-by-step explanation:
x can be equal to 9.
Lets plug in 9 to the variable x, in this equation, x -3 = 6.
x - 3 = 6
9 - 3 = 6 (plugged in 9 for x)
So, x = 9.
Answer:
x-3=6
The correct answer is x=9
Step-by-step explanation:
9-3=6
Which of the following statement must be true?I WILL MARK THE BRAINIEST
Answer:
d) XY > RS
Step-by-step explanation:
When comparing triangles, the angle opposite to the side in question determines the length. In this case 99 is greater than 75. Since XY is the side opposite to 99, it is the larger side
Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation
01 d+0.25q=12.5.
If Jada has 4 quarters, how many dimes does she have?
If Jada has 10 quarters, how many dimes does she have?
Answer:
ther are 25 dimes in 10 quarters
Step-by-step explanation:
Pls help and show workings
SHOW WORKINGS!!!!
Answer:
X equals 5, that’s the answer
Step-by-step explanation:
2. Which of the following compositions of transformations would NOT map quadrilateral ABCD onto A'B'C'D'?
Answer:I picked 4
Step-by-step explanation:
.
Here is a list of numbers:
20
29
30
33
37
40
41
46
50
Use four of the numbers to make a sequence and describe the rule
for continuing your sequence.
PLEASE HELP
Answer:
20,30,40,50
Step-by-step explanation:
I is going by my tens
Derek bought a cloth for rs 950 .He spent rs 150 for stitching a shirt and sold it at a gain of rs 375 . Find the selling price of the shirt
Answer:
$1473
Step-by-step explanation:
cost of cloth= rs.950
He spent rs.150 for stitching a shirt
total cots= 950+150
total cost=1100
gain= rs.375
we know that
gain= selling price- cost price
substitute
375= selling price- 1100
selling price= 1100+373
selling price=$1473
Hence the selling price is $1473
6. Which is longer, a mile or a kilometer? How can you tell?
ANSWER ASAP GIVING BRAINLIEST
Answer:
A mile is longer
Step-by-step explanation:
Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
packages
Answer:
Think the answer is 1292928
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
The medians of TUV are TX, UY, and VW. They meet at a single point Z.
(In other words, Z is the centroid of TUV.)
Suppose UZ=8, VW=33, and ZX=5.
Find the following lengths.
Note that the figure is not drawn to scale.
Answer:
TZ = 10 units
UY = 12 units
ZW = 11 units
Step-by-step explanation:
Point Z is the centroid of ΔTUV.
Since, centroid of a triangle is located on each median so that it divides each median in the ratio of 2 : 1
Therefore, TZ = 2(ZX)
TZ = 2(5) = 10 units
UY = UZ + ZY
= UZ + [tex]\frac{1}{2}(UZ)[/tex]
= [tex]\frac{3}{2}UZ[/tex]
= [tex]\frac{3}{2}\times 8[/tex]
= 12 units
ZW = [tex]\frac{1}{3}(VW)[/tex]
= [tex]\frac{1}{3}(33)[/tex]
= 11 units
HELP! How do I find out what y equals????
Answer:
42
Step-by-step explanation:
All of a triangles angles equal 180 degrees. We know that one angle is 48 degrees and 1 angles is 90 degrees. We just have to subtract 138 from 180 to get 42.
Can some plsss actually help me I have been getting bad luck! I need to submit soon. Plssss
Answer:
SCB
Step-by-step explanation: