Answer:
10P + 7m = 19 .......... 1
3P + 5m = 10.05 .......... 2
Step-by-step explanation:
Let the cost of pencil be represented by P, and felt-tip by m. So that;
Rodrigo bought 10 pencils and 7 felt-tip at the cost of $19.0.
⇒ 10P + 7m = 19 .......... 1
Melissa bought 3 pencils and 5 felt-tip at the cost of $10.05.
⇒ 3P + 5m = 10.05 .......... 2
From equations 1 and 2,
10P + 7m = 19 .......... 1
3P + 5m = 10.05 .......... 2
Multiply equation 1 by 3, and 2 by 10 to have;
30P + 21m = 57 ......... 3
30P + 50m = 100.5 ....... 4
Subtract equation 3 from 4,
30P - 30P + 50m - 21m = 100.5 - 57
29m =43.5
m = [tex]\frac{43.5}{29}[/tex]
= 1.5
m = 1.5
Substitute the value of m in equation 2,
3P + 5m = 10.05 .......... 2
3P + 5(1.5) = 10.05
3P = 7.5 = 10.05
3P = 3
P = 1.0
Thus, the cost of a pencil is $1.0 and that of a felt-tip is $1.5.
which of the following represents linear growth? check all of the boxes that apply
martins savings account increases because he deposits $25 each week
calis pay increases by 3% per year
each week, an athlete getting into shape loses 2 pounds
mei-lin earns $9 an hour at her job
Answer:
Martin is the answer
Step-by-step explanation:
Incorrect - Martin is putting in $25 a week which means each week his bank is growing by exactly $25
Correct - Cali's pay is exponential since it is increasing each year by a percentage, so not a steady rate.
Incorrect - The athlete's weight is decreasing, so the opposite of growth.
Incorrect - And mei-lin can change how many hours she works so she will get a different amount for the time she works each day.
Hopefully, this helped, have a great day!
brainliest?
What is the reciprocal of 5 sixths?
pls help need it ASAP
Answer:The reciprocal of 5/6 is found by switching the numerator for the denominator and the denominator for the numerator. That means that the reciprocal of 5/6 is 6/5.
Answer:
1.2
Step-by-step explanation:
that should be it the answer
Mhanifa please help me on this! I will mark brainliest
Answer:
D. 85°Step-by-step explanation:
Exterior angle is equal to sum of non-adjacent interior angles:
x + 40° = 125°x = 125° - 40°x = 85°Correct choice is D. 85
Answer:
d
Step-by-step explanation:
Three subtracted from x is greater than or equal to 15.
Answer:
3 - x ≥ 15
Step-by-step explanation:
3 - x ≥ 15
Complete the function table.
Answer:
18
Step-by-step explanation:
8+10=18
hope this helps :)
Answer:
18
Step-by-step explanation:
10+8=18.
What are rational numbers? Why is it important to study rational numbers?
Answer:
Rational numbers are real numbers that can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.
There are 7 more girls than boys in an 8th grade class. There are a total of 53 students in this 8th grade class. How many girls are in this 8th grade class?
A. 17
B. 21
C. 27
D. 30
Answer:
D:30
Step-by-step explanation:
Total of students =53
53-7= 46
46÷2=23
23+7=30
Can someone please help me??? I WILL GIVE YOU 50 EXTRA POINTS IF YOU SHOW YOUR WORK AND DO IT PROPERLY
Test each point to see if it is a solution to -3x + y < 5. Show your work.
a.(0,0)
b.(-3,4)
c.(-2, -2)
Answer:
well i cant explain the anwser but its y < 5 + 3 x
What are the x-intercepts of the graph of the following function y = 6x to the second power minus 12x - 18
Answer:
it would be 12x 26y doe to the problem
Unit 8: Right Triangles & Trigonometry Homework 4: Trigonometry: Ratios & Finding Missing Sides
Answer:
26.69
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached
The missing side is x;
From the triangle we are given;
Opposite = x
Hypotenuse = 29
Angle of elevation = 67 degrees
Using the SOH CAH TOA identity;
Sin theta = opposite/hypotenuse;
sin 67 = x/29
x = 29sin67
x = 29(0.9205)
x = 26.69
Hence the length of the missing side is 26.69
All trigonometric ratios of triangle PQR were calculated.
In the given right triangle PQR
PR = 14
QR = 50
So, using Pythagoras' theorem
PQ = 48
What are Sine, Cosine, and Tangent of a triangle?Sine of an angle = Opposite side / Hypotenuse
cosine of an angle = Adjacent side/ Hypotenuse
Tangent of an angle = Opposite side/ Adjacent side
So, SinQ = 14/50 =7/25
CosecQ = 1/SinQ = 25/7
CosQ= 48/50 = 24/25
SecQ = 1/CosQ = 25/24
TanQ = 14/48 = 7/24
CotQ = 1/tanQ = 24/7
SinR=24/25
CosecR = 1/SinR= 25/24
CosR=7/25
SecR = 1/Cosr = 25/7
TanR =24/7
CotR = 1/tanR = 7/24
Thus, All trigonometric ratios of triangle PQR were calculated.
To get more about trigonometric ratios visit:
https://brainly.com/question/24349828
Write the ratio of the first measurement to the second measurement. 5 feet to 49 inches
Answer:
5ft to 49in 5ft/49in 5ft:49in
Step-by-step explanation:
Can you guys help me plz
Answer:
Step-by-step explanation:
The scale factor is 2
Can someone help me with this please???
Answer:
148
Step-by-step explanation:
148
help please! it'll be greatly appreciated
Answer:
B= 17.1
Step-by-step explanation:
The formula for the area of a triangle is BH1/2
The word problem gives you the area and the height
Set the problem:
369.25= 42.4(1/2)(B)
42.4(1/2)=21.2
369.25=21.2B
Divide both sides by 21.2 to isolate the variable
17.41=B
Hope this helps! :)
A large chocolate shake takes 0.8 of a pint of milk. A small shake takes 0.3 the amount of a large. How much milk does a small shake take?
Answer:
Step-by-step explanation:
Solve by substitution
Answer:
A
Step-by-step explanation:
y = -9 ------(1)
9x -4y = -9 -------(2)
substitute (1) into (2)
9x - 4 (-9) = -9
9x = - 45
x = -5
there you go, x = -5 and y = -9
so. (-5 , -9 )
hope this helps
please mark it brainliest
I really need help!
What is 1/5x+1/2=2(4/5x+1)
What is the least common multiple of 10 and 35?
Answer:
a multiple of both is 5 ...
Answer:
70
Step-by-step explanation:
10 35
10 35
20 70
30
40
50
60
70
The shaded section of the strip diagram represents the percent of the number of students that get more than 9 hours of sleep each night. Of the students surveyed, 80 get more than 9 hours of sleep each night. How many students were surveyed?
Answer:
200
Step-by-step explanation:
each square=40
Calculate the average rate of change over the interval from x=1 to x=3
-2
6
8
12
Answer:
The average rate of change over the given interval is 12
Step-by-step explanation:
Here, we want to calculate the average rate of change over the given interval
Mathematically, we can calculate the average rate of change using the formula below;
f(b) - f(a)/b-a
The f values are same as the y values
Thus, we have it that;
a = 1 and b = 3
f(a) = -5 and f(b) = 19
The average rate of change is thus;
(19-(-5))/(3-1) = 24/2 = 12
A store buys for 12$ each and marks up the price 25% what's is the price for a shirt at the store?
Answer:
$15
Step-by-step explanation:
25% of 12 is 3 so just add that to the original value
Answer:
$15
Step-by-step explanation:
Multiply the cost by the percentage mark up
12 × 25%
Convert the percentage into a decimal
12 × 0.25
3
Add the mark up to the original price
12 + 3
15
what is the solution and the inequality and the graph
The density of a certain material is such that it weighs 9 kilograms for every 7 cubic feet of volume. Express this density in pounds per pint. Round your answer to the nearest hundredth.
Answer:
1.641× 10^-3 pounds/ cubic inch
Step-by-step explanation:
Density= mass / volume
Mass of the material= 9 kilograms
Volume= 7 cubic feet
Density= 9/7= 1.286 kg/ ft^3
Density= 1.286 kg/ ft^3
To Convert to pounds per inch
1 kg/ ft^3 = 0.00128 pound / cubic inch
1.286 kg/ ft^3 = X pounds/ cubic inch
X=( 1.286 × 0.00128)
= 0.0016407087 pounds/ cubic inch
= 1.641× 10^-3 pounds/ cubic inch
Hence,this density in pounds per inch is 1.641× 10^-3 pounds/ cubic inch
Charlotte and her children went into a grocery store and she bought $8 worth of
apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought a
total of 10 apples and bananas altogether. By following the steps below, determine
the number of apples, x, and the number of bananas, y, that Charlotte bought.
Answer: six apples 4 bannanas, brainleist?
Answer:
x=4
y=6
Step-by-step explanation:
BRAINLIEST????
find the measurement of each interior angle
Answer:
40
Step-by-step explanation:
angle b and D is 40 degrees
It’s -4°C outside, and then the temperature drops 5°C. Which addition equation describes what's happening to the weather?
Answer:
-4+(-5)
Step-by-step explanation:
If the temperature is dropping five you add -5 to negative 4.
) Evaluate the expression for v = 2.
5v + 3 =
Answer:
13
Step-by-step explanation:
Evaluate the expression for v = 2.
First, plug in 2 wherever v is seen.
5v + 3
5(2) + 3
Next, multiply.
5(2) + 3
10 + 3
Add.
10 + 3
13
Your final answer is 13.
Please let me know if there are any issues with this answer.
Answer:
i think this is algebra
Step-by-step explanation:
The first thing you have to do is open the multiplication parenthesis to substitute V for 2
5v + 3
5 (2) + 3
Now that you have the parenthesis, you multiply and then the result that you add.
5(2) or 5x2= 10 but is better with parenthesis.
10 + 3
=3
I hope this helps.
When Elias drives 100 miles on the highway, his car uses 4 gallons of gasoline. How much gasoline would his car use if he drives 250 miles on the highway?
Answer: x = 10
Step-by-step explanation: 4 times 250 is 1000 and divided by 100 is 10
The RBIs for 15 players from the 2010 Seattle Mariners are shown.
15 51 35 25 58 33 64 43 33 29 14 13 11 4 10
Find the Median
Find the lower quartile
Find the upper quartile
Find the IQR
Find the Range
WILL GIVE BRAINLIEST NO CAP ASAP PLS HELP ME
Question 25. A segment of a circle is the portion formed by the sector and 4 points
a triangle,
True
O False
Answer:
It is false
Step-by-step explanation: