One number added to twice another number is 30. The sum of the numbers is 19.
Write and solve a system of equations to represent this situation.
What is the value of the smaller number?
What is the value of the larger number?
I don't understand :(
Answer:
The smaller number is 8
The bigger number is 11
Step-by-step explanation:
let the first number be A
let the second number be B
A + 2B = 30..... equation 1
A + B = 19...... equation 2
Subtract equation 2 from 1.
A + 2B = 30
- A + B = 19
-------------------
0 + B = 11
B = 11
Substitute B = 11 into equation 2
A + B = 19
A + 11 = 19
collect like terms
A = 19-11
A = 8.
A= 8 and B = 11
distance of -2,-6 and 4,2
Step-by-step explanation:
distance = -6-(-2) and 4-2
-6+2 and 2
-4 and 2 is distance
Answer:
[tex]d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]
d = √(4 - (-2))² + (2 - (-6))²
d = √36 + 64
d = 10
A certain department store keeps track of an age and an annual income of customers who have its credit card. From a sample of 820 of such customers the following descriptive statistics had been obtained: the average age was 41 years with the standard deviation of 16 years and the average annual income was $37,290 with the standard deviation of $2,850. The correlation between the age the annual income was found to be 0.34. Answer the following questions. (Round your answers to 2 places after the decimal point).
Calculate the value of a slope.
a) 309.23 $ per year of age
b) 60.56 $ per year of age
c) 192.43$ per year of age
d) None of the above
Answer: b) $60.56 per year of age
Step-by-step explanation: If the scatterplot of two variables shows a line and the correlation between them is strong, we can calculate a regression line.
Regression line is a line graph that best fits the data. Like any other line, its formula is given by
y = mx + b
with
m being the slope
b the y-intercept
The slope of the line, correlation and standard deviations of the two variables have the following relationship:
[tex]m=r\frac{S_{y}}{S_{x}}[/tex]
where
r is correlation
[tex]S_{y}[/tex] is standard deviation for the y data
[tex]S_{x}[/tex] is standard deviation for the x data
For our problem:
r = 0.34
[tex]S_{y}=[/tex] 2850
[tex]S_{x}=[/tex] 16
Calculating
[tex]m=0.34(\frac{2850}{16})[/tex]
m = 60.56
Slope for the regression line of annual income per year of age is 60.56.
Two numbers have a sum of 527 and a difference of 195. What is the smaller of the two numbers?
Answer:
166
Step-by-step explanation:
let two numbers be x and y
according to question,
x+y=527..........equation 1
x-y=195...........equation 2
add both the equations you will get
x=361 and y= 166
So the smaller of two numbers is y=166
in a recent year, the number of homes with tablets grew 43 3/4% from the previous year. What decimal is equivalent to 43 3/4?
Answer:
43.75
Step-by-step explanation:
The letters in the word STATISTICS are printed on identical index cards with one letter per card. The ten cards are
then placed in a hat, and one card is randomly chosen (without looking) from the hat. The random process we are
interested in is what letter is on the selected card.
(a) Make a table that shows the set of outcomes and the probability of each outcome.
Outcome
Probability
(b) Consider the following events:
V: the letter chosen is a vowel.
F: the letter chosen falls in the first half of the alphabet (that is, between A and M).
Determine the following probabilities:
P(V) =
P(F) =
P(FC
) =
P(V and F) =
P(V or F) =
(c) Are the events V and F mutually exclusive (disjoint)? Explain.
Answer:
I think the answer is c I guess
Math question 35 points please help
Answer:
It's D 100%
Step-by-step explanation:
If im right mark me brainliest if im wrong report me
Hello, I need help graphing with y = x+4,
I NEED HELP!!! Pleaseeee
Answer: hope this helps!!
Step-by-step explanation:
Cary and his brother took a road trip together. The total number of miles they drove was more than 200. Cary drove for 50 miles. Which distances could his brother have driven? Check all that apply.
50 miles
100 miles
150 miles
200 miles
250 miles
Answer:
D and E
Step-by-step explanation:
Got it right hope this helps
Answer:
200 miles or 250 miles.
Step-by-step explanation:
They both have 200+ miles. 200+50=250 miles. 250+50=300 miles. Hippity hoppity gimme that brainliest pls
what is the value of cos x°
Answer:
15÷17
Step-by-step explanation:
C A/H....adjacent over hypotenuse
Answer:
Well, I got B. Because it seems the most reasonable answer to this question.
Step-by-step explanation:
Can you Graph the image A(4,-1) after a translation 7 units up?
someone help me please
Answer:
all real numbers greater than but not equal to 0
5-x=3
Work out the value of x
Answer:
x = 2
Step-by-step explanation:
5 - x = 3
- x = 3 - 5
- x = - 2
x = 2
Prokaryotic cells are cells that _____. Select all that apply.
1.are simple
2.have no nucleus
3.have cell walls with peptidoglycan
4.have membrane-covered organelles
probably 1 and 2, I'm only in 6th grade tho so I forgot (love the pfp btw)
There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
someone please help!!!
Answer:
y = 3x + 5 option A
Step-by-step explanation:
For 2 lines that are parallel with slopes m1 and m2, the slopes are equal. Hence
m1 = m2
Given the line y = 3x - 5 Comparing with the general equation of a line
y = mx + c where m is the slope of the line
m = 3
hence m1 = m2 = m = 3
For the line that passes through the given point (2,11) Using
y - y1 = m (x - x1)
y - 11 = 3(x - 2)
y - 11 = 3x - 6
Add 11 to both sides
y = 3x - 6 + 11
y = 3x + 5
3x ^ 2 = 1 / 3 x + 1
Answer:
What are you to find?
Step-by-step explanation:
Please state in your question and I will help you solve it. Thanks for your cooperation.
5 & 2/8 - 3 &7/8 = ?
Answer:
11/8 or 1 & 3/8
Step-by-step explanation:
5 & 2/8=21/4
3&7/8=31/8
21/4-31/8=11/8 or 1 & 3/8
Answer:
[tex]1\frac{3}{8}[/tex]
Step-by-step explanation:
Convert to improper fractions.
[tex]\frac{42}{8} -\frac{31}{8}[/tex]
Subtract.
[tex]\frac{11}{8} = 1\frac{3}{8}[/tex]
good luck, i hope this helps :)
caleb got $60 for birthday and put it in savings account. after he deposited money, he now has $139 write an equation and show work
Answer:
Equation 60+x=139 and the answer is x=79
Step-by-step explanation:
60+x=139
139-60=x
79=x
x=79
Hope this helps! :)
Colbert's backyard has two trees, shown below. The height of shorter tree is 3/5 of the height of the taller tree. If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree?
Answer:
The height of the taller tree is 7.5 feet.
Step-by-step explanation:
I am going to say that:
The height of the shorter tree is x.
The height of the taller tree is y.
The height of shorter tree is 3/5 of the height of the taller tree.
This means that [tex]x = \frac{3y}{5}[/tex]
If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree?
This means that [tex]x = 4 + \frac{1}{2} = \frac{8+1}{2} = \frac{9}{2}[/tex]
We want to find y.
[tex]x = \frac{3y}{5}[/tex]
[tex]\frac{9}{2} = \frac{3y}{5}[/tex]
[tex]6y = 45[/tex]
[tex]y = \frac{45}{6}[/tex]
[tex]y = 7.5[/tex]
The height of the taller tree is 7.5 feet.
en una fiesta de disfraces dos quintos de los invitados van disfrazados de superhéroes un quinto de animales y el resto de zombis. si hay 180 invitados ¿cuantos hay disfrazados de cada cosa?
solo un quinto que sería 90 disfrazaos
x multiplied by 7 then 18
subtronted form the product
Answer:
7x - 18
Step-by-step explanation:
x multiplied by seven = 7x
eighteen subtracted from product (7x) = -18
7x - 18
Answer:
7x-18
Step-by-step explanation:
the ans is 7x-18 because x is multiplied to 7 so its 7x
Order the cars based on how far they drive on 1 gallon of gas. Place the car that travels
farthest on top.
0.2 gallons used for 7 miles
0.5 gallons used for 12 miles
0.9 gallons used for 25 miles
Step-by-step explanation:
First car.
0.2 gallons used for 7 miles.
Distance drive on 1 gallon of gas [tex]=\dfrac{7}{0.2}=35\ \text{miles}[/tex]
Second car.
0.5 gallons used for 12 miles.
Distance drive on 1 gallon of gas [tex]=\dfrac{12}{0.5}=24\ \text{miles}[/tex]
Third car.
0.9 gallons used for 25 miles.
Distance drive on 1 gallon of gas [tex]=\dfrac{25}{0.9}=27.8\ \text{miles}[/tex]
So, the first car traveled fast while the second car traveled least. Hence, the sequence is first car > third car > second car.
3х – 5y = 15
у = 2х + 4
Answer:
the answer is m equals 3 over 5
Laci is filling a circular kiddie play pit with balls. The play pit has a radius of 7ft and each bag of balls covers 15 square feet. How many bags would she need to buy to have enough to cover the play pit
Answer:
10.26 bags
Step-by-step explanation:
Area of circle :
A = πr²
radius, r = 7ft
A = π * 7²
A = π * 49
A = 153.93804 ft²
Since a bag covers 15 ft² ;
Number of bags needed will be :
Area / number of square feet per bag
153.93804 ft² / 15 ft²
= 10.262536 bags
= 10.26 bags
Answer:
10.21
this is the correct answer because 10.21 is right
At practice, Diego does twice as many push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total. The equation 2x + 40 = 62 describes this situation. What is the value of x?
The value of x would be 11.
Step-by-step explanation:
We can simply just isolate x in the equation to solve:
2x + 40 = 62
(Subtract 40 from both sides) 2x = 22
(Divide each side by 2) x = 11
Hope this helps! :)
============================================================
Explanation:
If we knew the value of x, we would use PEMDAS to evaluate 2x+40 to get some single number value. For instance, if x = 4, then 2x+40 becomes 2(4)+40 which evaluates to 48 when you use PEMDAS.
However, we don't know the value of x. To find x, we follow PEMDAS in reverse to undo everything happening to x.
Note the order in which stuff is happening to x
multiply by 2add 40To undo this, we follow this process in reverse. So we need to undo the "add 40" part first, which was the last thing done. That means we'll subtract 40 from both sides
2x+40 = 62
2x+40-40 = 62-40
2x = 22
Then we undo the "multiply by 2" part. We'll divide both sides by 2
2x = 22
2x/2 = 22/2
x = 11
Let's check the answer.
2x+40 = 62
2(11)+40 = 62 ... x replaced with 11
22+40 = 62
62 = 62
Since we get the same thing on both sides, we get a true equation and this confirms we have the correct x value.
A convenience store sells a coffee mug that comes
with a special price for refills using the mug. The
equation C = 2.3r + 6.5 represents the cost C, in
dollars, of the mug and r refills. What is the cost of
the mug?
Answer:
The cost of the mug is of $6.50.
Step-by-step explanation:
The cost of the mug and r refills is given by the following equation:
[tex]C(r) = 2.3r + 6.5[/tex]
Cost of the mug:
The cost of the mug is found when no refills are bought, that is, C when [tex]r = 0[/tex], which is [tex]C(0)[/tex]
[tex]C(0) = 2.3*0 + 6.5 = 6.5[/tex]
The cost of the mug is of $6.50.
Which of the following is true of a radius of a circle?
(1) Radius is twice the diameter in any circle
(2) Radius is the distance from the center to any point on the circle.
(3) All radii in circles have the same value.
The second one is correct (Radius is the distance from the center to any point on the circle)
Answer:
2.)
Step-by-step explanation:
The radius of any circle is the distance from the EXACT center, to any point of the circle.
Mo reads 3 pages in 2 hours. What is the constant of proportionality?
Its 3/2.
Hope this helps.
