Answer:
Y= -3x + 11
Step-by-step explanation:
Y= -3x + 11 (-3x is your slope and 11 is your y intercept)
Which expression represents how many years are in X months
Answer:
12 months is one year so the expression is:
Step-by-step explanation:
2year = 2(X)
so you know one year 12 months you can put 12 on the x value
2 years = 2(12)
2 years = 24 months
This weekend, Jerome earned $252.50 in all. What was the dollar amount of the meals that Jerome served?
Answer:
Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.
Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
The manager at a community pool is looking over receipts. On a certain Monday, the pool had
16 children and 42 adults, which brought in $142. That same week on Tuesday, 24 children
and 26 adults came to the pool, which brought in $102. What are the admission prices for
children and adults?
Answer: Child is $1 and Adult is $3, per person.
Step-by-step explanation:
We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.
The income for Monday and Tuesday can be calculated:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
Rearrange the second equation to isolate one of the variables. I'll pick C:
24C + 26A = $102
C = ($102 - 26A)/24
Now use this expression for C in the first equation
16C + 42A = $142
16(($102 - 26A)/24) + 42A = $142
16(($102 - 26A)/24) + 42A = $142
(1632 - 416A)/24 + 42A = $142
(68 - 17.3333A + 42A = $142
24.6667A = 74
A = 3 [The price of an adult pool admission is $3]
Use this value in either equation to find the price of a child's admission:
24C + 26A = $102
24C + 26*($3) = $102
24C = 102 - 78
C = $1 [The price of a child's admission to the pool is $1]
Check to see if these prices satisfy both equations:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
---
Monday: 16*(1) + 42*(3) = $142 ? YES
Tuesday: 24*(1) + 26*(3) = $102 ? YES
Child is $1 and Adult is $3, per person.
Joe was in charge of lights for a dance. The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds. If we include the very beginning and very end of the dance, how many times during a seven minute dance will all the lights come on at the same time
Answer:
We consider:
T1 = 2s
T2 = 3s
T3 = 5s
We calculate the least common multiple of the Ts:
Ttot = 30 s.
During a seven minute dance the lights will come on at the same time:
7*60 s / 30 = 14 times.
In a span of 7 minutes, the lights will blink together 14 times.
What is LCM?LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.
Given, Joe was in charge of lights for a dance.
The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.
∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.
So, in 7 minutes or (7×60) = 420 seconds the lights will blink together
(420/30) = (42/3) = 14 times.
Learn more about LCM here :
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a paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each box is 6 ft.³ and the volume of each large box is 12 ft.³ a total of 27 boxes of paper were shipped with a combined volume of 250 to cubic fe. graphically solve a system of equations in order to determine the number of small boxes shipped X and the number of large boxes shipped Y
Answer:
the answer is 10 :)
Step-by-step explanation:
Round 1.09 to the nearest whole number.
Answer:
1
Step-by-step explanation:
1.09 is in between the whole numbers 1 and 2. it is closer to 1 since the tenths digit (0) is less than 5. if it were 5 or greater, then we would round up to 2.
Answer:
1
Step-by-step explanation:
1.09 is closer to 1 than 2, therefore the whole number is 1.
If you were counting people or objects, well you can't have 9/100 as a person so you'd round to 2. But in this case, round to 1!
I hope this helped :)
A man has 25 sweets and his son has 55 sweets.find the number of sweets that the man has to give to his son so that his son would have 4times as many sweets as him.
Answer:
9sweets
Step-by-step explanation:
sweets man has to give to his son=x
mans sweets=25-x
child's sweets=55=x
55+x=4(25-x)
55+x=100-4x
4x+x=100-55
5x=45
x=45/5
x=9
Answer: The man has to give nine sweets for his son to have four times as many sweets as him.
please help brainliest
Solve. −7/8=−1/6−3/10x Enter your answer as a mixed number in simplest form in the box. x =
Answer:
X=[tex]\frac{36}{85}[/tex]
Step-by-step explanation:
-[tex]-\frac{7}{8}=-\frac{1}{6}-\frac{3}{10x}[/tex]
move the contants to the right hand side
[tex]-\frac{3}{10x}=-\frac{1}{6}+\frac{7}{8}[/tex]
Add the to terms on the right
[tex]-\frac{3}{10x}=\frac{17}{24}[/tex]
Cross multiply
72=170x
Swap sides of the equation
170x=72
Divide by 170 to both sides
x=[tex]\frac{36}{85}[/tex]
This is the simplest form.
The solution of the linear equation −7/8 = −1/6 − (3/10)x in the form of a mixed fraction number will be 2 ¹³/₃₆.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The linear equation is given below.
−7/8 = −1/6 − (3/10)x
Simplify the equation, then we have
−7/8 = −1/6 − (3/10)x
(3/10)x = −1/6 + 7/8
(3/10)x = 17/24
x = 85/36
x = 2 ¹³/₃₆
The arrangement of the direct condition −7/8 = −1/6 − (3/10)x as a blended part number will be 2 ¹³/₃₆.
More about the solution of the equation link is given below.
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omg please i need help this is worth sm pointssss PLEASE BESTIES
Answer: 1. don't call me your bestie...
2. the answer is A. 72 B. 75 C. 55 D. 52 E. 112 F. 55 G. I'm not sure what G is
A vegetable cart sells potatoes for $0.24 and tomatoes for $0.76. Fred bought 12 vegetables in total. He only bought potatoes and tomatoes. If Fred paid $6.52 total, how many potatoes did he buy?
Let potatoes be a and tomatoes be b
[tex]\\ \sf\longmapsto a+b=12---(1)[/tex]
[tex]\\ \sf\longmapsto 0.24a+0.76b=6.52[/tex]
Simplify 2nd one
[tex]\\ \sf\longmapsto 0.06a+0.19b=1.63[/tex]--(2)
Solving both equations
b=7a=12-7=5When is new years????????????
Answer:
21 day
Step-by-step explanation:
EASY MArk as brainliest
Answer:
January 1 is new years day! can I get branliest:>
I need help?????????
Answer:
3
Step-by-step explanation:
solve for x: 3x-10 = 2(x+6)
Answer:
x = 22
Step-by-step explanation:
What is the graph of the function rule? y=|3x|+2
Options below!
Answer: the 4th/last option
Step-by-step explanation:
Y goes up when x goes down or up. When x = 0, y = 2
Step-by-step explanation: I like to have the 3 on the
outside and we can just write it as y = 3|x| + 2.
Now, we know that this is the form y = a|x - h| + k where
(h, k) represents the vertex of the function.
Notice that there is no value of h so we say that h = 0.
In addition, we know that k = 2 so our vertex is (0, 2).
This eliminates the first graph and the third graph.
Since a is positive, our function opens upward.
So graph 4 matches with our equation.
Francisco sold 9 rolls of wrapping paper for a band fundraiser earning the band $22.50. Sharon sold 16 rolls of wrapping paper and earned $40.00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?
A. 1.25
B. 2.50
C. 3.75
D. 5.00
Answer:
A
Step-by-step explanation:
If the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis
Then the two points on that line will be (14,17.50) and (16,20)
We know that the slope of a lien with points is give by:-
Hence, the slope of the graph with points (14,17.50) and (16,20) is given by :-
Therefore, the slope of the graph = 1.25 dollars per roll.
What is 1 4/5 times 2 1/3
Answer:
4.2
Step-by-step explanation:
4 1/2
Explanation:1 4/5 = 9/5
2 1/3 = 7/3
---------------------------
9/5 · 7/3 = 21/5 OR 4 1/2
2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?
Answer:
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
Step-by-step explanation:
W = -275(2t-7), where t is hours since pumping starts. Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0). In this case we'll use W and t instead of x and y.
W = -275(2t-7)
W = -550t + 1925
The 1925 figure represents the water volume when t = 0, the initial volume. The slope of -550 is the rate at which water is being pumped out. 550 gallons/hr.
We can solve the equation for the hours required to make w=0:
W = -550t + 1925
0 = -550t + 1925
550t = 1925
t = 3.5 hours
-
We can solve for when W = 1,000:
W = -550t + 1925
1000 = -550t + 1925
-925 = -550t
t = 1.682 hours
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
We can also graph the function. attached.
can someone help with another question i posted 5 minutes ago
Answer:
Awnser
what is the question
How far will the snail be from the rock after 9 minutes?
Answer:
27 inches <3
Step-by-step explanation:
Can someone help me make sense of the problem. Provide an explanation and answer if at all possible
Answer:
1.728×10¹⁵
Step-by-step explanation:
You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).
An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.
10 = 1 × 10
100 = 1 × 10 × 10 = 1 × 10²
__
Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).
Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)
The product will be ...
(5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)
= 17.28 × 10¹⁴
= (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left
Adding that extra zero into the count we already have, this becomes ...
= 1.728×10¹⁵
_____
Additional comment
Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.
Or, you can use a spreadsheet with appropriate output cell formatting.
Answer:
1.728×10¹⁵ is the answer
A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?
Answer:
1.1 * 10 ^ -3Step-by-step explanation:
Given the value of the thickness of a dollar bill to be 0.00011 metre .
The standard scientific Notation is expressed as A * 10 ^ n
A is any value between 1 and 10 where n is any Integer .
0.00011 = 11 / 100000
0.00011 = 11 / 10000
0.00011 = 11 *1 / 1000
0.00011 = 11 * 0.0001
0.00011 = 1.1 * 0.001
0.0011 = 1.1 * 10 ^ -3
Hope this helps you !!What is the greatest multiple of 99 that is less than 0?
Answer: -99
Step-by-step explanation:
This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.
Solve the system by substitution
8x + y = 4
-2x - 8 =y
(answer as an ordered pair)
Can someone help me solve this problem? I’m not sure how to solve this type of expression
Answer:
(2x+3)square+2
Step-by-step explanation:
(2x) square +2 (2x)(3)+(3)square
2x square +12x+9
I think so.
pls give me brainliest
2/10 = 20%= 0.2
True or false
Answer:
True
Step-by-step explanation:
What is 16.281 rounded to the nearest whole number
and What is 16.281 rounded to the nearest tenth?
Answer:
16, and 16.3
Step-by-step explanation:
Answer:
1. 16 2.16.3
Step-by-step explanation:
2.16.281 is 16.28 which is near 16.3 so you round. Also anything above 5 you round and anything below 5 you round down.
5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?
Answer:
Final cost is 817.76
Step-by-step explanation:
First find the amount of the tax
760 * 7.6%
760 * .076
75.76
Add this to the cost of the bike
760+57.76
817.76
For any two numbers a and b, the product of a − b times itself is equal to a^2 − 2ab + b^2. Does this familiar algebraic result hold for dot products of a vector u − v with itself? In other words, is it true that (u − v) • (u − v) = u • u − 2u • v + v • v? Justify your conclusion, trying not to express vectors u and v in component form.
Answer:
yes; the distributive property applies to dot products
Step-by-step explanation:
The product of (a-b) with itself is ...
(a -b)·(a -b) = a² -2ab +b²
because the commutative and distributive properties apply to multiplication.
(a -b)·(a -b) = a(a -b) -b(a -b) = a² -ab -ba +b² = a² -ab -ab +b² = a² -2ab +b²
__
The same expansion works for the dot product operation, because the commutative and distributive properties hold for that operation, as well.
(u −v)•(u −v) = u•(u -v) -v•(u -v) = u•u -u•v -v•u +v•v
= u•u -u•v -u•v +v•v = u•u -(u+u)•v +v•v = u•u -2u•v +v•v
_____
Additional comment
The proof of any of the properties of the dot product relies on expressing the vectors in component form. The distributive property is no exception.
Why do we not use a Leg-Leg (LL) Theorem that says if you know that the legs of two right triangles are congruent, then the triangles are congruent?
A. This information is not sufficient to prove triangles congruent.
B. This case is already covered by the HL Theorem.
C. This case is already covered by the SSS Postulate.
D. This case is already covered by the SAS Postulate.
what kind of wave is shown
Answer:
longitudinal
Step-by-step explanation: