The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR RS: ST is equal to 6:3:1. If QT = 10, find RS.
The RS line segment will be 16 units long.
What exactly are collinear points?An axis is a line on which points are located, especially if that line is connected to a triangle or other geometric shape. Because a line is determined by two factors, two points are transparently collinear. If the points are in a straight line, they are collinear points.The collinear points are Q, R, S, and T.
The collinear's condition will then be determined:
QR + RS + ST = QTThe points Q, R, S, and T all lie on the same line segment in that order, so the QR:RS:ST ratio is 1:4:5. If QT = 40.
Let QR / 1 = RS / 4 = ST / 5 = xQR = xRS = 4xST = 5xThe value of the variable x will then be:
QR + RS + ST = QTx + 4x + 5x = 4010x = 40x = 4The length of the line segment RS will then become:
RS = 4xRS = 4 (4)RS = 16Therefore, the RS line segment will be 16 units long.
Know more about collinear points here:
brainly.com/question/1593959
#SPJ1
The correct question is given below:
The points Q, R, S, and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.
Solve the following equation. 3x/7 -2 = 15Then place the correct number in the box provided.
Answer:
[tex]{ \tt{ \frac{3x}{7} - 2 = 15 }} \\ \\ { \tt{3x - (2 \times 7) = (15 \times 7)}} \\ { \tt{3x - 14 = 105}} \\ { \tt{3x = 119}} \\ { \tt{x = 39.67}} \\ { \tt{ 39\frac{2}{3}}}[/tex]
Answer:
[tex] \sf \large \: x = \frac{119}{3} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x/7−2=15
Step 1: Simplify both sides of the equation.
3x/7−2=15
3/7x+−2=15
3/7x−2=15
Step 2: Add 2 to both sides.
3/7x−2+2=15+2
3/7x=17
Step 3: Multiply both sides by 7/3.
(7/3)*(3/7x)=(7/3)*(17)
x=119/3
How far away is Akis house from the pizza place?
How do I solve this?
HELP ASAP
Write 8,350,000,000 in scientific notation.
8.35 × 10−9
8.35 × 109
835 × 10−7
835 × 107
[tex]8.35 \times {10}^{9} [/tex]
or
[tex]835 \times {10}^{7} [/tex]
I need help to solve this! Thank you
Answer:
f(2) = 3
Step-by-step explanation:
You want the value of f(2), given the graph of f(x).
Function valueThe value of the function for a given argument is found by locating the point on the graph with an x-coordinate equal to the argument. The y-coordinate of that point is the function value.
See the attachment.
The y-coordinate associated with the point that has an x-value of 2 is 3.
f(2) = 3
A number is divided by four, and then the quotient is added to seventeen. The result is 25. Find the number. Write and solve the equation
Answer:
32
Step-by-step explanation:
32 divided by 4 is 8
8 + 17 = 25
There's your answer!
Answer:16
Step-by-step explanation:First you would have to subtract 17 from 25 and you'd get 8. Then you multiply 8 by 4 and you'll get 16 as your answer.
I need help 3(1+3)*x(4+3)
IM TIMED PLEASE HELP
Find the value of x if U is between T and V, TU=7x+35,UV=4(x+7),and TU≅UV .
Multiple choice questions.
A)
−3
B)
−7/3
C)7/3
D)
3
The value of x if U is between T and V is -7/3
How to determine the value of x?The given parameters are:
U is between T and V,
TU = 7x + 35
UV = 4(x + 7)
TU ≅ UV
The above means that
7x + 35 = 4(x + 7)
Open the brackets
7x + 35 = 4x + 28
Evaluate the like terms
3x = -7
Divide both sides by 3
x = -7/3
Hence, the value of x if U is between T and V is -7/3
Read more about line segments at
https://brainly.com/question/2437195
#SPJ1
Suppose there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature o the ground is 59.7 degrees F, what will be the temperature at an altitude of 11,000 ft?
The temperature at an altitude of 11,000 ft is found to be 47.6 Degree Fahrenheit.
What is defined as the temperature?Temperature is a measure of how hot or cold something is demonstrated in terms of one of several scales, such as Fahrenheit and Celsius. Temperature signifies the direction wherein heat energy will instantaneously flow—that is, from a hotter (higher) body to a colder body (at a lower temperature).The plane is at ground level, with a temperature of 59.7 degrees Fahrenheit. The temperature drops by 1.1 degrees Fahrenheit for every 1,000 feet.
Initial Temp = 59.7 Fahrenheit
Distance Covered = 11,000 Ft
As the plane stands there, the ground level is zero feet.
Later, it soars into the sky at 11,000 feet.
= 11×1,000
Temperature drops by 1.1 degrees Fahrenheit for every 1,000.
As a result, at 11,000 feet, the temperature will drop 11 times,
= 11×1.1
or 12.1 degrees.
Therefore, at 11,000 feet, the temperature will be Fahrenheit,
= 59.7 - 12.1
= 47.6 degree Fahrenheit
Thus, the temperature at an altitude of 11,000 ft is computed as 47.6 degree Fahrenheit.
To know more about the temperature, here
https://brainly.com/question/25677592
#SPJ9
Help asap! and don't answer for the points only if you know for sure it's right
Answer:
Child ticket: 12 dollars
Total price: 64 dollars
Step-by-step explanation(Child ticket price):
[tex]T = X(1 - P\%)\\T = 20(1 - 40\%)\\T = 20(1 - 0.4)\\T = 20(0.6)\\T = 12[/tex]
-----------------------------------------------------------------------------------------------------------
Step-by-step explanation(Total price):
[tex]T(12) * 2 + (20.00 * 2) = \$64[/tex]
Hope this helps.
Convert the given measurement to the unit indicated
using the table to the right.
0.13 m³ to kg
Converting the given measurement 0.13m^3 into kg using the given table. We get the answer as 130 kg.
Measurement of 0.13m^3 to be converted to kg using the table.
To convert cubic meters to kilograms, multiply the value in cubic meters by the density of the ingredient and then multiply the result by 1000.
You can use the conversion formula :
kilograms = cubic meters × density of the ingredient × 1000
According to the table given 1 m^3 = 1 KL = 1000 kg
Here, we are given 0.13m^3,
which means it equals = 0.13 KL
and hence it equals 0.13 * 1000 = 130kg
So, 0.13m^3 = 130 kg.
To learn more about conversion visit:
brainly.com/question/12785513
#SPJ1
Neuer started a systematic investment program by buying $200.00 with of mutual funds on the first day of every month starting on February 1. When you purchase mutual funds, you purchase units in the fund. Neuer purchased as many units as he could with his $200.00, including fractions of units. Unit prices for the first six months were $10.00, $10.60, $11.25, $9.50, $9.20 and $12.15 respectively.
(a) What is the simple average of the unit prices?
(b) What is the total number of units purchased during the first six months (Correct to three decimals)?
(c) What is the average cost of the units purchased?
(d) What is the value of Neuer's mutual fund holdings on July 31 if the unit price on that date is $11.90?
a) The simple average of the unit prices is $10.45.
b) The total number of units purchased during the first six months is 115.898 units.
c) The average cost of the units purchased is $10.35.
d) The value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19.
What is an average?An average refers to the mean of a data set.
The average is computed as the total value divided by the number of values in the data set.
Data and Calculations:Month Unit Price Total Value Units
February $10.00 $200 20.000
March 10.60 200 18.868
April 11.25 200 17.778
May 9.50 200 21.052
June 9.20 200 21.739
July 12.15 200 16.461
Total prices $62.70 $1,200 115.898
Simple Average = $10.45 ($62.70/6)
The average cost of the purchased units = $10.354 ($1,200/115.898)
Thus, the value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19 (115.898 x $11.90).
Learn more about the average at https://brainly.com/question/1136789
#SPJ1
4) Mary had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
four pieces. With how many pieces did
she start?
Answer: 27 4 peices for 5 children
Step-by-step explanation: 4 peices for 5 children 4×5=20 then she ate 7 so 20 plus 7 is 27
Full equation 4×5+7=27
Which classification of the real number system describes all of the following numbers listed below? 0.5, −13, 0.62, 3.14, 19%
Rational Numbers
Whole Numbers
Irrational Numbers
Integers
The numbers 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer
How to determine the classification of the real numbers?The numbers are given as:
0.5, −13, 0.62, 3.14, 19%
Numbers that can be represented as a fraction of two integers are rational numbers
The given numbers can be represented as a fraction of two integers
i.e.
0.5 = 5/10
0.62 = 62/100
3.14 = 314/100
19% = 19/100
This means that 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer (because it has no decimal point and it is negative)
Read more about real numbers at:
https://brainly.com/question/20373359
#SPJ1
I need help to find the perimeter of this triangle
Answer:
3(x+1)
Step-by-step explanation:
The perimeter of triangle is equal to sum of all side of triangle.
perimeter of triangle=(x-3)+x+(x+6)
on simplify
=3x+3
=3(x+1)
so, perimeter of triangle is equal to
=3(x+1)
Simplify (34)−1. I need to know this plsssss
Answer:
Step-by-step explanation:
There question I need help on is “What is the ratio of the number of bananas to the total number of pieces of fruit?”
Answer: 3:12 math is power
Answer:
3:12
Step-by-step explanation:
not sure if you have to reduce but if you have simplify it it would be 1/4
in order to construct the perpendicular bisector of ab which statement describes the compass settings and the number of arc intersections needed
Answer:
The compass is placed at point a and point b, then two arcs are drawn respectively.
A line is drawn from the arcs passing through element being bisected.
[tex]{}[/tex]
a travel agent arranges a payment plan for a client it required a down payment of 250 and 15 monthly payment of 582 what was the the total cost if the plan
Answer:
Step-by-step explanation:
it is Payment: Uniform Payment Series: (F/P, i, ∞) = ∞. (A/F, i, ∞) = 0.
5. Writing Write and solve a two-step
word problem that can be solved using
multiplication as one step.
Answer:
50!!
Step-by-step explanation:
The teacher buys enough pencils for 10 of her students. She gives each student 5 pencils. How many pencils did she give away altogether?
10 x 5 = 50
Answer:
write any one positive aspect of your religion
18. Callie's cat lost 4 1/2pounds before having
surgery. Two weeks after having surgery, her cat gained 2 7/8pounds. What was the total
change in weight of Callie's cat?
The total change in the weight of Callie's cat will be 1 5/8 pounds.
How to calculate the fraction?It should be noted that weight is a measurement of the force an acceleration field, particularly the gravitational field of the Earth near the surface, exerts on a particle or object.
From the information that was given, it should be noted that Callie's cat lost 4 1/2 pounds before having surgery and two weeks after having surgery, her cat gained 2 7/8 pounds.
Therefore, based on the information that was illustrated, it should be noted that the change in weight will be the difference between the weights given.
The change in weight will be:
= 4 1/2 pounds - 2 7/8 pounds
= 4 4/8 - 2 7/8 pounds.
= 1 5/8 pounds
Therefore, the change in weight of Callie's cat will be 1 5/8 pounds.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
A model rocket is launched with an initial upward velocity of 126. The rocket's height (in feet) after seconds is given by the following. Find all values of for which the rocket's height is 50 feet.
At time t = 0.4191 and t = 7.456, rocket was at the height of 50 feet;
Given equation; h = 126t - 16t²;
when rocket's height is 50 feet;
126t - 16t² = 50
16t² - 126t + 50 = 0
Using quadratic formula;
t = {126 ±√(-126)² - (4)(16)(50)}/2(16)
After solving; t =0.4191 and t = 7.456
Therefore, at time t = 0.4191 and t = 7.456, rocket was at the height of 50 feet;
To learn more about quadratic formula; visit: https://brainly.com/question/9300679
#SPJ9
3. The cost of mass production of cars is partly constant and partly varies as the number of cars produced. The total cost of making 400 cars is sh 3,740,000 and that of making 1000 cars is sh 7,100,000. Find the cost of making 2500cars.
Step-by-step explanation:
since the process is defined by a constant term plus a variants term, the equation looks like
costs(c) = k + a×c
3,740,000 = k + 400a
7,000,000 = k + 1000a
let's simply subtract the guys from the second equation
7,000,000 = k + 1000a
- 3,740,000 = -k - 400a
------------------------------------
3,260,000 = 0 + 600a
600a = 3,260,000
a = 5,433.333333... 5,433 1/3
3,740,000 = k + 400×5,433.333333...
k = 3740000 - (400×5,433.333333...) =
= 1,566,666.66666...
so, the function is
costs(c) = 1,566,666.66666... + 5,433.333333... × c
therefore,
costs(2500) =
= 1,566,666.66666... + 5,433.333333... × 2500 =
= sh 15,150,000
5 + 7x + 10 = −41 what is the answer I don’t understand
answer:
[tex]15 + 7 \times = - 41 \\ 7 \times = - 41 - 15 \\ 7 \times = - 56 \\ \times = - 8[/tex]
Answer:
Step-by-step explanation:
I believe you need to just combine like terms:
5 + 7x +10 = -41
Try to get the 7x alone:
7x + 15= -41
To get 7x alone completely have it alone on the side move the 15 to the other side of the =.
7x +15 = -41
-15 -15
you'll get
7x= -55
then you need to get x all alone so divide the 7from both sides
7x=-55
/7 /7
Your solution will be:
x=-7.857 round to whichever place you need
Leah wants to divide x by -5/12. What number should she multiply by x to find the answer?
Considering the algorithm to divide a number by a fraction, she must multiply x by -12/5 to find the answer of the division of x by -5/12.
What is the algorithm to divide a number by a fraction?To divide a number, or even another fraction, by a fraction, we need to multiply the numerator by the inverse of the denominator.
Taking the following division of fractions as an example, we have that:
(a/b)/(c/d).
The numerator is given by a/b.The denominator is given by c/d.The inverse of the denominator is d/c. (to find the inverse of a fraction, we exchange the numerator by the denominator).Hence the quotient is:
a/b x d/c.
For this problem, the division is:
x/(-5/12).
Hence:
The numerator is given by x.The denominator is given by -5/12.The inverse of the denominator is -12/5.Thus the quotient is given by:
-12x/5.
Meaning that she must multiply x by -12/5 to find the answer of the division of x by -5/12.
More can be learned about division by fractions at https://brainly.com/question/1622425
#SPJ1
Student Name: davidmontague
Distributive Property Using Area
You have just used the distributive property to write these products as a sum. If drawing rectangles
helps you, feel free to use that visual aid to rewrite the following expressions as a sum. 2 points each
5
14. 8(y + 2)
16. a(a + 3)
18. 2m(m + 4)
13. 5(m-2);
15.-3(m + 4)
17. h(h-2).
19.-2(z-8)
20. -4x(x - 10)
Following expressions are represented as a sum
14. 8y +16
16. a² +3a
18. 2m² + 8m
13. 5m - 10
15. -3m -12
17. h² - 2h
19. -2z + 16
20. -4x² + 40x
The distributive property is also known as the distribution law of multiplication in addition and subtraction. The name itself means the activity that involves dividing or distributing something. The distribution law applies to addition and subtraction.The distributive property shows that an expression given in the form A(B + C) can be solved as A × (B + C) = AB + AC. This distribution law also applies to subtraction and is expressed as A(B - C) = AB - AC. This means operand A is split between the other two operands. The distributive property of multiplication on addition is applied when we need to multiply a number by the sum of two numbers. For example, let's multiply 7 by the sum of 20 + 3. Mathematically we can represent this as 7 (20 + 3).
Learn more about Distributive property here
https://brainly.com/question/2807928
#SPJ9
The height of a clocktower is 44 meters. Max, who is standing near the clocktower, casts a 7 meter shadow and is 2 meters tall. How long is the shadow of the clocktower? Round your answer to the nearest tenth, if necessary
Answer:
the answer is 220 i calculated
36 hundredths divided by 9 tenths
Answer: The answer would be 0.4 or 4/10
Step-by-step explanation:
What is the smallest possible common factor between 2 numbers? When would that number also be the GCF? When would the lesser of 2 numbers also be the GCF of those 2 numbers?
Answer:
1
Step-by-step explanation:
What is the smallest possible common factor between 2 numbers? When would that number also be the GCF? When would the lesser of 2 numbers also be the GCF of those 2 numbers?