Answer: 37 km
Step-by-step explanation:
Given
The total length of the three roads is 245 km
Suppose the length of PQ is [tex]x\ km[/tex]
According to question
The Length of PR is [tex]x+15[/tex]
The length of QR is [tex]3(x+15)[/tex]
The Sum of PQ, PR, and QR is
[tex]\Rightarrow x+x+15+3(x+15)=245\\\Rightarrow 5x+60=245\\\Rightarrow 5x=185\\\Rightarrow x=37 km[/tex]
length of PQ=37 km
What is the volume of a pyramid with a base area of 102 square units and a height of 13 units? 1) 442 units 2) 663 units 3) 1326 units 4) 3978 units.
Answer:
3
Step-by-step explanation:
HOPE THIS HELPS SORRY FOR CAPS
2a.) A(t) is the average high temperature in Aspen, Colorado, "t" months after the
start of the year. M(t) is the average high temperature in Minneapolis, Minnesota,
"t" months after the start of the year. Temperature is measured in degrees
Fahrenheit. Which function had the HIGHER average rate of change between the
beginning of January and middle of March? *
Answer:
As you didn't add the graph, I will for you.
Step-by-step explanation:
The correct answer is Minneapolis because as you can see Aspen did not change as dramatically as Minneapolis.
The start of January and the middle of March, Minneapolis, or function M(t), had a larger average rate of change. It means that Minneapolis experiences a greater increase in temperature than Aspen does.
What is meant by function?A mathematical formula, rule, or legislation that establishes the link between the independent variable and the dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
In the beginning of January, Aspen's temperature was 35° F, and in the middle of March, it was 48° F. 3.5 months later Minneapolis has lows of 25 degrees Fahrenheit in January and highs of 50 degrees Fahrenheit in the middle of March (at 3.5 months).
So, the average rate of change of temperature of Aspen between the points (1, 35) and (3.5, 48) exists
[tex]$\frac{y_2-y 1}{x_2-x_1}=\frac{48-35}{3.5-1}=5.2$[/tex]
The average rate of change of temperature of Minneapolis between the points (1, 25) and (3.5, 50) is [tex]$\frac{50-25}{3.5-1}=10$[/tex]
Thus, from the start of January and the middle of March, Minneapolis, or function M(t), had a larger average rate of change. It means that Minneapolis experiences a greater increase in temperature than Aspen does.
To learn more about function refer to:
https://brainly.com/question/11624077
#SPJ2
wrote a simplified expression for the perimeter of the triangle
pls help i’ll give brainialist
Answer:
here, you are simply asked to find perimeter
so add all sides to find it. soln is below
a+5+2a-1+3a-7 = 6a-3= 3(2a-1) ans
Find the curcumince of the circle. use 3.14 or 22/7.
Answer:
the circumference of this circle is approximately 25.12 cm with π as 3.14.
Step-by-step explanation:
circumference of a circle is technically a perimeter of a circle.
we find the circumference of a circle by using the following formula :
c = 2πr or c = πd
r represents the radius d represents the diameter
since 4 yds here is a radius, we use the left formula i placed above. then, we substitute the numbers in. pi represents 3.14 as said in your question. even if you use 22/7, you will still get around the same result.
c = 2πr
c = 2(3.14)4
c = 6.28(4)
c = 25.12 yds
therefore, the circumference of this circle is approximately 25.12 yds.
Write the equation of the line that passes through the given points. Include your work in your final answer.
(2, 3) and (2, 5)
need an answer please:)
Answer:230
Step-by-step explanation:
Henry has 96 marbles. He is packing containers with 8 marbles in each container. How many containers, c, does Henry need to pack all the marbles?
96 − c = 8
96 = 8 x c
c = 96 + 8
8 ÷ c = 96
A system of two equal equations is shown below
3x + y = 8
4x - 2y = 3
What is the solution of the system?
Answer:
x=1.9
y=2.3
Step-by-step explanation:
I hope this helped.
What fraction of the shape is shaded? plssss help
Answer:
2/6
Step-by-step explanation:
Answer:
1 1/2 of the shape is shaded
Step-by-step explanation:
Hope this helps!
1. At what price must an article which cost $450 be sold in order to make a profit
of 16.5% on cost?
Answer:
$450.00 x 16.5% = $74.25
$450.00 + 74.25 = $524.25
Answer $524.25
Step-by-step explanation:
Jessica weighs 10 less than three times as much as her little sister. If x represents her sister's weight, what is an expression Jessica can
use to figure out her own weight? Explain your thinking and how you got your answer.
Answer:
Step-by-step explanation:
J=3x-10
We are told Jessica weighs 10 less than 3 times her sister’s weight and told that her sister’s weight was x.
Six friends share 8 fruit bars equally. How many fruit bars does each friend get?
Answer:
0.75 friends per fruit
Hope this helps
Answer:
Each friend get 1 and 1 3rd
Step-by-step explanation:
Which equation can be used to solve for x in the following diagram?
(10x + 10)
110°
Choose 1 answer:
(10x + 10)
= 110
(10x + 10) = 90
(10x + 10) - 110 = 90
(10x + 10) + 110 = 180
Answer:
the answers (10x+10)=110
Step-by-step explanation:
For Halloween Debby and her sister combined the candy they received. Debby had 32 pieces of candy while her sister had 45. If they ate 24 pieces the first night, how many pieces do they have left?
Which points lie on a circle that has its center at the origin and contains the point (0, 3)?
Answer:
(1,2[tex]\sqrt{2}[/tex])
I don’t know how to do this....Help me please!!
Find the discriminant.
r2-6r+8=0
How many real solutions does the equation have?
no real solutions
one real solution
two real solution
On a snowy winters eve two candles are lit at the exact same time. A 18-inch candle and a 21-inch candle are lit at the exact same time. The 18-inch candle burns 2 inches every hour. The 21-inch candle burns 3 inches every hour. Create a system of equations using the information
Answer:
y=21-3x and y=18-2x
Step-by-step explanation:
Ok, so we have candle A, which is 21 inches and burns 3 inches every hour. in slope-intercept form, the hours would be the x, the 21 is our y intercept. So the first equatio would be y=-3x+21 (negative slope, because the height of the candle is going down). Candle b, which is 18 inches, burns away 2 inches each hour. We can make -2 the slope (negative 2, since the candle is being burned away, not being added to), and the 18 our y intercept. So the two equations would be
y=21-3x
and
y=18-2x
hope this helps!
There are 12 girls and 3 boys in the french club. What is the ratio of girls to boys? If you answer this question I'll give your the brainliest
Answer:
I think ur answer would be
12:3
is girl:boy
3 is a the least common factor
4:1
is girl:boy
hope this helps<3
REALLY NEED HELP
Graph the line x=4.
Answer:
X=4 would be right above the 4 on the x axis.
Step-by-step explanation:
So you see where it says x? Graph it on the 4 on that line.
Answer:
Graph it on the 4 on line X
I need help please help
Leo is buying a shirt for his grandfather for his upcoming birthday. The shirt cost $34.50 and a 6.5% sales tax is applied. How much is the total cost of the shirt?
Answer choices
A. $32.26
B. $36.82
C.36.74
D.35.00
Which is the graph of y = -(x - 3)2 - 1?
O
6-
у
|
5-
31
2+
1
« Previous
Answer:
Step-by-step explanation:
y = -½(x-3)²-1
This is the equation of a vertical parabola with vertex at (3,-1). The leading coefficient is negative, so the parabola opens downwards.
Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°. Determine the measure of ∠ BCD.
Answer: c
Step-by-step explanation:
Fill in the blank:
(2x + 3)(x + 1) = 2.2 + ___+3
A)-5
B)3
C)0
D)5
How to solve this maths problem?
Pls help
Answer:
Step-by-step explanation:
(a) The length and breadth of the playground as measured by the surveyor are 20 m and 13 m respectively to nearest metre.
Since the actual length is x m and breadth is y m, then;
i. x ≥ 20 m or x ≤ 20 m
ii. y ≥ 13 m or y ≤ 13 m
(b) perimeter of the playground = 2 (length + breadth)
= 2 ( 20 + 13)
= 2 x 33
= 66 m
The range of values of the perimeter = 65.4 m < perimeter < 66.5 m
ii. area of the playground = length x breadth
= 20 x 13
= 260 [tex]m^{2}[/tex]
The range of values of the area = 259.4 [tex]m^{2}[/tex] < Area < 260.5 [tex]m^{2}[/tex]
What set of numbers does NOT contain -7?
o integers
rational numbers
real numbers
whole numbers
Answer:
Step-by-step explanation:
the answer is whole number, explination : A whole number is any number that does not contain a fraction, decimal, or negative value. For example, 1, 25, and 365 are whole numbers
simplify the answer as much as possible
Answer:
f(-5)=240
g(-7)=-33
Step-by-step explanation:
1) f(x)=3x^2 - 3x
f(-5)= 3×(-5)^2 - 3×(-5) = -15^2 + 15= 225 + 15=240
2) g(x)=5x + 2
g(-7)= 5×(-7) + 2= -35+2=-33
4x + 2y = -14 and 7x – y = 16
Answers??
Answer:
(1,-9)
x=1, y=-9
Step-by-step explanation:
Estimation on a scale drawing of a fence, 3.75 inches represent 24 feet . what. is the actual length of a second fence is 2.8 inches in the drawing?
The exact length of the second fence is __ feet.
Answer: 17.92 feet
Step-by-step explanation:
From the question, we are informed that the estimation on a scale drawing of a fence is that 3.75 inches = 24 feet.
Based on the above, 1 inch will be:
= 24/3.75
= 6.4 feet
Therefore, the actual length of a second fence that is 2.8 inches in the drawing will be:
= 6.4 × 2.8
= 17.92 feet