Question:
You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.
Interpret their meaning.
Answer:
The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.
The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.
Step-by-step explanation:
Given
$10 per short sleeve
$15 per long sleeve
Budget = $300
The above can be represented as:
Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget
i.e.
[tex]10 * x + 15 * y =300[/tex]
[tex]10x + 15y =300[/tex]
To solve for the y intercept, we set x to 0
[tex]10 * 0 + 15y =300[/tex]
[tex]15y =300[/tex]
Divide through by 15
[tex]y = 20[/tex]
This implies that, you can buy 0 short sleeves and 20 long sleeves
To solve for the x intercept, we set y to 0
[tex]10x + 15 * 0 = 300[/tex]
[tex]10x = 300[/tex]
Divide through by 10
[tex]x = 30[/tex]
This implies that, you can buy 0 long sleeves and 30 short sleeves
Identify the hypotenuse.
A. MN
B. LN
Answer:
The hypotenuse is line segment MN.
Step-by-step explanation:
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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
If a train can travel 744 miles and 3 hours what is the unit rate that this train is traveling per hour
Answer:
248 mph (miles per hour)
Step-by-step explanation:
744 miles (in 3 hours) ÷ 3 hours = 248 mph (miles per hour)
Check if answer is correct:
248 mph × 3 hours = 744 miles in 3 hours
Final answer:
248 mph
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
please answer both questions i will fail if i don't get these
Answer:
its below
Step-by-step explanation:
a) (0,1) (-1,2) (1,2) (2,5) (-2,5)
b) (0, -1, 1, 2, -2)
c) (1,2,5,5)
#4 a) f(-5) = 39
b) f(1) = -9
The ratios of the measure of two supplementary angles is 5:7. What is the
measure of the larger angle?
Answer:
105 degrees
Step-by-step explanation:
You first add 5 and 7 which gives you 12. Then, since two supplementary angles add up to 180, you divide 180 by 12 which gives you 15. Next, since 7 is the larger of the two, multiply 7 by 15 giving you 105. To check your work, subtract 105 from 180 giving you 75. Next, put this as a fraction- 75/105 and simplify giving you 5/7 which can also be written as 5:7.
My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.
Determine all possibilities for the ages of my grandparents’ grandchildren.
Answer:
The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
Step-by-step explanation:
The given parameters are;
The number of grandchildren in the family = 4
The product of the ages of the four grand children = 67184
The age of the youngest grandchild < 10
The age of the oldest grandchild = 30 + The age of the youngest grandchild
Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild
Therefore, we have;
a < 10
The age of the oldest grandchild = a + 30 < 10 + 30
∴ The age of the oldest grandchild < 40
The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184
The factors of 67184 that are between 1 and 40 are;
1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38
Taking a = 8, we have;
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342
Therefore. a × b = 67184/(a × (a + 30) = 196.44
Therefore, a ≠ 8
For a = 4, we have the age of the oldest grandchild = a + 30 = 4 + 30 = 34
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136
Therefore. a × b = 67184/(a × (a + 30) = 494
We find that the other factors of 67184, which are 19 and 26 have a product of 494
Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
To give, 4 × 19 × 26 × 34 = 67,184.
The number 2200 is first increased by 30%. The value obtained is next decreased by 50%. Find the final number.
The distance from Jason's house to school is 0.1 kilometer. What is this distance in meters?
Help pls
Answer:
100 meters
Step-by-step explanation:
0.1 x 1000 = 100 m
In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the toothpaste then find the number of persons who use at least one of the toothpaste
Answer:
let W and R represent white toothpaste and red toothpaste represently
n(W)=143
n(R)=135
n(WnR)=70
n( WuR)=?
Now,
n(WuR)=n(W)+n(R)_n(WnR)
=143+135_70
=208
that's all don't forget to write therefore.
Pinning as branliest for best explained answer ::
4x + 3y = 0
5y + 53 = 11x
solve : substitution method
Answer:
sol:x=(5y+53)/11
value of x in 4x+3y=0
4×(5y+53)/11+3y=0
(20y+212+33y)/11=0
53y+212=0/11
y=-212/53
y=-4
now
value of x
4x+3y=0
4x+3×-4=0
4x=12
x=12/4
x=4
by solving both we get,
Sarah is 5 years old and Clayton is x years older than Sarah.
In how many years will Clayton be three times older than Sarah is now?
Answer:
10-x
Step-by-step explanation:
hope it helped
In 10 years Clayton will be three times older than Sarah is now.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Sarah is 5 years old and Clayton is x years older than Sarah.
∴ Clayton is (x + 5) years old.
So, In (x + 5) = 3×5 years Clayton will be three times older than Sarah is now.
∴ (x + 5) = 15.
x + 5 = 15.
x = 15 - 5.
x = 10.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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simplify 0.00021 * 0.000028 and Express your answer in standard form(scientific notation)
Answer:
=58.8*10⁻⁴
Step-by-step explanation:
0.00021 * 0.000028 = 210*10⁻⁶ * 28*10⁻⁶
= (210*28)10⁻⁶
= 5880*10⁻⁶
= 58.8 * 10⁻⁴
Answer: 2.1×10⁻4 and 2.8×10⁻5
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. 2.1×10⁻4
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. 2.8×10⁻5
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answer:
22 units
Step-by-step explanation:
Known Quantities:
AB = CD and AC = BDCalculations:
AB = 8AC = 3CD = 8BD = 3Final Calculations:
perimeter = 2 x (3+8)perimeter = 22Assume a random sample of the birth weights of 186 healthy babies has a mean of 3103 g and a standard deviation of 696 g. Construct a 95% confidence interval estimate of the mean weight of all healthy babies born to healthy mothers. What does the interval suggest about a recent study informing soon-to-be-parents that they can expect their new baby to weigh about 2980 g?
3002 g < μ < 3204 g; the 2980 g weight is less than the range values of the interval; however, it is close to the interval and could therefore easily represent an expected mean weight of new babies.
3002 g < μ < 3204 g; the 2980 g weight falls below the interval, suggesting that it is unlikely to be an expected value and is likely too low to represent an accurate population mean.
2879 g < μ < 3080 g; the interval suggests 3103 g is not a likely mean, proving the sample is biased; the recent study should be used as a basis for estimating new birth weights.
2879 g < μ < 3080 g; the 2980 g weight falls comfortably in the interval, which suggests that 2980 g is very likely to represent an accurate population mean of birth weights.
Answer:
Its B
Step-by-step explanation:
Which algebraic expression means "four less than three times a number"?
O 4-12
O 3n-4
O 4-3
O n-4
Answer: is 4-3
Step-by-step explanation:
4-3
Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different
Y intercept
End behavior
Domain
Range
Horizontal asymptote
(More than one answer)
Answer:
y-intercept,
end behavior,
range,
and horizontal asymptote
Step-by-step explanation:
I just finished the PLATO test and these are the answers
The answers are y-intercept, end behaviour, range and horizontal asymptote.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
f(x) = eˣ
The transformed function:
g(x) = -f(x) - 4 = -eˣ - 4
g(0) = -5
f(0) = 1
From the graph, we can say the y-intercept, end behaviour, range and horizontal asymptote are different from the parent function.
Thus, the answers are y-intercept, end behaviour, range and horizontal asymptote.
Learn more about the function here:
brainly.com/question/5245372
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What is the excluded value of x-6/ x+4
Answer:
-4
Step-by-step explanation:
x+4=0
x=-4
Answer:
x = - 4
Step-by-step explanation:
Given
[tex]\frac{x-6}{x+4}[/tex]
The denominator of the rational expression cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that x cannot be, that is
x + 4 = 0 ⇒ x = - 4 ← excluded value
consider the line y=9x-8
find the equation of the line that is parallel to this line and passes through the point (-8,3)
Answer:
y=9x+75
Step-by-step explanation:
since we know that the slope must be the same for two lines to be proportional, we are gonna start there.
so our equation is: y= 9x + b
we need to find b to complete our equation, so substitute in the points we were given.
3 = 9(-8) + b
so now,
3 = -72 + b
now we have to isolate b to find out what it is,
3 = -72 + b
+72 +72
so now: 75= b
Put that back into the starting equation: y = 9x + 75
I confused what answer is it
Answer:
A
Step-by-step explanation:
Determine whether AB and CD are parallel, perpendicular, or neither. A(2,8), B(-1, -2), C(3, 7), D(0, -3)
Answer:
they're parallel
write an inequality to represent: ten is no more then four then a number
Answer:
10 ≤ x - 4
Step-by-step explanation:
Answer:
10 < x-4
Step-by-step explanation:
+ 19=20+24
A 11
B 13
C 15
D 25
Answer:
its D 25
i just know stuff
Which of the following properties is shown in the equation below? 3 × ( 6 × 2 ) = ( 3 × 6 ) × 2
distributive property
multiplicative identity property
associative property of multiplication
commutative property of multiplication
Answer:
Associative Property
Step-by-step explanation:
:)
The members of the Smithtown baseball team sell $5 raffle tickets and $20 raffle
tickets for a fundraiser. Emilio sells a total of 50 tickets and has collected $400.
The graph of the system of equations that represents this scenario is shown below.
Which of the following is the best interpretation of the solution to the system of
equations in context of the scenario?
A Emilio has sold 20 of the $20 raffle tickets and 50 of the $5 raffle tickets.
B Emilio has sold 50 of the $20 raffle tickets and 20 of the $5 raffle tickets.
C Emilio has sold 10 of the $5 raffle tickets and 40 of the $20 raffle tickets.
D Emilio has sold 40 of the $5 raffle tickets and 10 of the $20 raffle tickets.
Answer: d
Step-by-step explanation:
find the y intercept
Answer:
(0,12)
Step-by-step explanation:
As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship. That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.
A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by 3 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
f(x) = 3x + 26; 0 ≤ y ≤ 4
f(x) = 3x + 23; 26 ≤ y ≤ 35
f(x) = 3x + 26; 26 ≤ y ≤ 35
f(x) = 3x + 23; 0 ≤ y ≤ 4
Answer: brainlest
date: 11/28/20 time: 2:42 pm name tom
hello please mark me as brainlest and hope this is what you needed ok
Answer:
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Given: A lawn-mowing company had 30 clients when they started its business and wants to increase by 6 new clients each week.
To find: arithmetic sequence to write a function to represent the real-world situation and the range of the function for the first four weeks of data.
Solution:
A sequence is a list of numbers in a specific order following some pattern.
A sequence is said to be arithmetic if difference between the terms is same.
For the first week, number of clients = 30
For the second week, number of clients = 30 + 6(1)
For the third week, number of clients = 30 + 6(2)
For the third week, number of clients = 30 + 6(3)
For the fourth week, number of clients = 30 + 6(4)
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Answer:
A) f(x) = 6x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
I JUST TOOK THE TEST
Answer: B
Step-by-step explanation:
for all of you on FLVS, its B
What would the rate of change be for this?
Answer:guess
Step-by-step explanation:?
Please help me you’ll get brainlest!
4/5
Answer:A
Step-by-step explanation:
Answer:
3rd answer option
Step-by-step explanation:
√26 ≈ 5,1
√31 ≈ 5,6
Which angles are adjacent angles?
pls give two answers for good measure
Answer:
2nd answer choice.
Step-by-step explanation:
The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.
Step-by-step explanation: To solve for x in this inequality,
your goal is the same as it would be if you were solving an
equation, to get x by itself on one side.
Since 5 is being subtracted from x, add 5 to both sides of the inequality.
On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.
So we have x ≥ 3.
When graphing, start with a closed dot at +3 because x is
not just greater than +3, it's equal to it as well.
Then draw an arrow to the right, like I have done below.
Item 20
Write the word sentence as an equation. Then solve.
The difference between a number p and 6 is −14.
Equation:
Solution: p=
Answer:
p-6=-14
Step-by-step explanation:
since it is said that it is the difference between them