if margrate has a basket of apples and pears. the number of apples equals three more than twice the number of pears. if there are 15 pieces ot fruite altogether how many apple and pears are there?
Answer:
There are 6 pears and 9 apples.
Step-by-step explanation:
The equation would be a=3+2p
A clothing store sells all of their jeans for one price and all of their t-shirts for another price. Marisol purchased 2 pairs of jeans and 6 t-shirts for $60. Ernestine purchased 4 pairs of jeans and 3 t-shirts for $75. What is the cost of one pair of jeans and one t-shirt?
Answer:
j = $15
t = $5
Step-by-step explanation:
This question can be solved using simultaneous equation
let the price of t-shirt be represented with t
let the price of jeans be represented with j
From the question, these two equations can be derived
2j + 6t = 60 eqn 1
4j + 3t = 75 eqn 2
multiply eqn 1 by 2
4j + 12t = 120 eqn 3
Subtract eqn 2 from 3
9t = 45
divide both sides by 5
t = 5
Substitute for t in eqn 1
2j + 6(5) = 60
2j = 30
j = 15
select the correct answer. one of the factors of the polynomial x^3+5x^2+6x is (x^2+3x). what is the other factor?
Answer:
x(x+2)(x+3)
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation:
x + y = 16
5x - 4y = 12
Answer:
x = 8.44, y = 7.56
Step-by-step explanation:
x + y = 16 (equation 1)
5x - 4y = 12 (equation 2)
(x + y = 16)× 5
(5x - 4y = 12) × 1
9y/9 = 68/9
y = 7.56
Substitute the value of x in equation 1
x + 7.56 = 16
x = 16 - 7.56
x = 8.44
Therefore, x = 8.44, y = 7.56
Answer:
x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]
y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]
__________________
Step-by-step explanation:
There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.
This is how it's done:
x + y = 16
5x – 4y = 12
__________
4 ( x + y = 16 )
+ 5x – 4y = 12
[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]
___________
4x + 4y = 64
+ 5x – 4y = 12
__________
9x = 76
÷9 ÷9
[Dividing by the coefficient of 9x in x to get x]
______
x = 76 / 9.
_______
Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.
So:
x + y = 16
[substituting the value of x into the equation]
(76 / 9) + y = 16
[Creating a common denominator that
can be canceled out]
(76 / 9) + (9y / 9) = (144 / 9)
76 + 9y = 144
[Subtracting 76 from both sides to isolate 9y]
–76 –76
__________
9y = 68
÷9 ÷9
[Dividing both sides by the coefficient of 9y in y to get y]
_________
y = 68 / 9
_________
We can also verify that these variables have the correct value because:
x + y = 16
5x – 4y = 12
→
(76 / 9) + (68 / 9) = 16
5(76 / 9) – 4(68 / 9) = 12
__________________
(76 + 68 / 9) = 16
(380 / 9) – (272 / 9) = 12
___________________
144 / 9 = 16
(380 – 272 / 9) = 12
__________________
144 / 9 × 9 = 16 × 9
108 / 9 = 12
__________________
144 = 144 ✓
108 / 9 × 9 = 12 × 9
_________________
144 = 144 ✓
108 = 108 ✓
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage? 67.75% 54.71% 38.14% 23.22%
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
Sea p(x) = 2x + 4, calcular p(5) + p(2
Answer:
the answer is 7p
Step-by-step explanation:
p(5)+p(2)=7p
Write 0.14 as a percent.
Geometry!!! Pls help!! Mathxl!! Full points!!
Answer:
3 both sides
Step-by-step explanation:
help please
Find the hypotenuse of the triangle, the
distance between points (4, 4) and (-2,-2).
[?]
Enter the number that
16 goes beneath the radical
symbol
(
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
STION 1
Michael Smith buys and sells lovebirds. He currently has 80 yellow birds and
120 green birds. The birds are equally divided into five cages.
1.1.1
How many lovebirds does Michael have in total?
1.1.2
How many birds are in each cage?
1.1.3
Write the ratio of yellow birds to green birds that Michael has.
Give your answer in simplest form.
Answer:
1.1.1- Michael has 200 lovebirds in total
1.1.2- There are 40 birds in each cage
1.1.3- 120/80 = 3/2
Step-by-step explanation:
120+80=200
200÷5=40
120÷40=3, 80÷40=2
Step-by-step explanation:
The picture below shows the food that Michael gives to his lovebirds. He gives Each cage every morning
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
Can someone help me please
Answer:
the answer is yes.
Step-by-step explanation:
Answer:
It is a which is (-2,2).............
Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20
Answer:
x=5
Step-by-step explanation:
3 = 12/4
x = 20/4
x = 5
I need help on this homework
Answer:
5=10(0)+5
Step-by-step explanation:
1.write the equation y2-y1/x2-x1
2.fill in your coordinates
3.substitute and there is your slope (m)
4.write out y=mx+b
5.fill in y (5) and x (0) with the first coordinates and add 10 to m
6.sunsitute till you've solved b
7.there ya go (:
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
It is estimated that 78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)
Answer:
0.2297 ;
78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)
Step-by-step explanation:
p = 0.78
1 - p = 0.22
P(x = 3)
Using the binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 3) = 5C3 * 0.78^3 * 0.22^2
P(x = 3) = 10 * 0.78^3 * 0.22^2
P(x = 3) = 0.2297
One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?
Answer:
L = 7.14
Step-by-step explanation:
using the Pythagorean theorem:
L² = 10² - 7²
L² = 100 - 49= 51
L = 7.14
Answer:
7.14
Step-by-step explanation:
to answer this you need to use pythagoras theorem and that is A²+B²=c²
in this case C²-A²=B²
10²=100
7²=49
100-49=51
then you need to square root 51 which gives your answer 7.14
simplify by pulling out the GCF from the numerator and the dominator? 6/8
Answer:
3/4
Step-by-step explanation:
The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2
Which expression and value represents 100 less than 3 times the sum of 18 and 2?
O 3 (18+ 2) - 100; -44
O 3 % (18 + 2) - 100; -40
O 100 - 3* (18 + 2); 40
O 100 - 3x (18+ 2): 48
Answer:
3 times (18+ 2) - 100
3 (18+2) - 100 = -40
PLEASE HELP:,). The difference between the two numbers is 12. If you increase the first number by 2 and decrease the second number by 10, the first number is 9 times larger than the second. Find these numbers.
Answer:
25 and 13
Step-by-step explanation:
25 - 13 = 12
25 + 2 = 27
13 -10 =3
27 is 9 times larger than 3
Pind the distance between -5 and 8.
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8 9 10 11 12 13
The distance is 12
Edit: I did it wrong, sorry
---
hope it helps
Answer:
The distance between the two points is 13 units
Step-by-step explanation:
on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not
basically just add them in absolute value |-5| + 8= 13
hope this helps <3
A school track is shown.
1000 m
74 m
The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What
is the distance, in meters, around the entire track? Use the button on your calculator and express your answer to
the nearest hundredth
The distance is
meters
Answer:
2232.48 meters
Step-by-step explanation:
From the diagram:
Radius of semicircle = 74
Length of straightway on each side = 1000
The length of school track:
Straightway on each side = 2 * 1000 m = 2000m
Length of semicircle = πr/2
Length of both semicircle = 2 * 3.142 * 74 /2 = 232.47785
Total Length = ( 2000 + 232.47785) = 2232.48 meters
Hope this helps!
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the probability.
P(both green) HELP I NEED ANSWERS
Answer:
4/2
Step-by-step explanation:
At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour
Answer: 20 hr
Step-by-step explanation:
Given
The depth of accumulated snow is [tex]d=10\ in.[/tex]
Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]
Time taken for complete melting of snow is
[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]
Solve the linear equation 1/3x - 5 + 171 = x
Answer: x = 249
Step-by-step explanation:
Question 1: To enter their home, the Cepeda family types in a 4 digit
code. How many codes are possible? *
40
10
1,000
10,000
So the first digit could be 0-9.
second is the same 0-9
And the 3rd 0-9 and lastly the 4th 0-9
There is a [tex]\frac{1}{10} *\frac{1}{10} *\frac{1}{10}* \frac{1}{10}[/tex] chance that they will get it right by guessing.
So that means a [tex]\frac{1}{10000}[/tex] chance that they will get it right.
So their are 10000 possible codes.
Combine like terms to create an equivalent expression.
Make sure to simplify coefficients and constants as well.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6
−
3
2
v+
15
4
+
3
1
v
Answer is in the file below
tinyurl.com/wpazsebu
Your Welcome!!!!
The answer is in the picture!!!! :3
Please help me thank you you if u do have a good day.
Answer:
C
Step-by-step explanation:
Its straight and a straight line like that means your staying there for a long period of time.