Answer:
110 pounds
Step-by-step explanation:
Let the weight of Sandra, Peter and Martin be S, P and M pounds respectively.
S +P= 275 -----(1)
S +M= 245 -----(2)
S +P +M= 410 -----(3)
(3) -(1):
S +P +M -(S +P)= 410 -275
S +P +M -S -P= 135
M= 135
Substitute M= 135 into (2):
S +135= 245
S= 245 -135
S= 110
Thus, Sarah weighs 110 pounds.
Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?
Answer:
5/6
Step-by-step explanation:
3 hours= 2 1/2 miles
1 hour= 2 1/2 divided by 3
It would take him 5/6 of an hour
Hop this helps!
What is the slope of this graph?
Answer:
-3
Step-by-step explanation:
1. To find the slope of this line, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] since we're given the two points from the line.
2. (Solving)
[tex]\frac{0-6}{3-1}[/tex] [tex]\frac{-6}{2}[/tex] [tex]-3[/tex]Therefore, the slope is -3.
write an equation in standard form of the line that passes through (7, -3) and has a y intercept of 2
Answer:
Step-by-step explanation:
I would start with the form
y = mx + b
and then convert to standard form. Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2 ⇒ m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
5x + 7y = 14 (standard form)
The equation in standard form of the line is 5x + 7y = 14
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, a line is passing through (7, -3) and has a y intercept of 2
The general equation of a line is y = mx + b
Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2
m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
Converting into standard form;
5x + 7y = 14
Hence, the equation in standard form of the line is 5x + 7y = 14
For more references on equations, click;
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At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?
A sampling approach in which everyone in the population has an equal chance of being selected for participation is termed _____ sampling.
Answer:
Random Sample
Random Sample: Each member of the entire population has an equal chance of being selected. Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.
Step-by-step explanation:
Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -
Given info:- X = √(4-√7) and Y = √(4+√7)
Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?
Explanation:-
Given that:
X = √(4-√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ X = √[2{(4-√7)}/2]
⇛ X =√[(8-2√7)/2]
⇛ X =√[{(7+1)-2√7{/2]
⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]
It is in the form of a²-2ab+b²
Where , a = √7 and b = √1
⇛X = √[{(√7-√1)}²/2] [∵(a-b)² = a²-2ab+b²]
⇛ X = (√7-√1)/√2
⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)
and
Y = √(4+√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ Y = √[{2(4+√7)}/2]
⇛ Y =√[(8+2√7)/2]
⇛ Y =√[{(7+1)+2√7}/2]
⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]
It is in the form of a²+2ab+b²
Where , a = √7 and b = √1
⇛Y = √[{(√7+√1)}²/2] [∵(a+b)² = a²+2ab+b²]
⇛ Y = (√7+√1)/√2
⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)
On adding Eqⁿ (1) & Eqⁿ(2)
→ X+Y = (√7-1)/√2+(√7+1)/√2
→ X+Y = (√7-1+√7+1)/√2
→ X+Y = (2√7 )/√2
→ X+Y = (√2×√2×√7)/√2
→ X+Y = √2×√7
→ X+Y = √14 — — — — Eqⁿ(3)
On Subtracting Eqⁿ(2) from Eqⁿ(1)
→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]
→ X-Y =[ (√7-1 )-(√7+1)]/√2
→ X-Y = (√7-1-√7-1)/√2
→ X-Y = (-1-1)/√2
→ X-Y = -2/√2
→ X-Y = -(√2×√2)/√2
→ X-Y = -√2 — — — — Eqⁿ(4)
On multiplying Eqⁿ(1)& Eqⁿ(2)
→ XY = [(√7-1)/√2][(√7+1)/√2]
→ XY = (√7-1)×(√7+1)/(√2×√2)
→ XY = [(√7)²-(1)²]/(2) [∵(a+b)(a-b) = a²-b²]
→ XY = (7-1)/2
→ XY = 6/2
→ XY = 3 — — — — — Eqⁿ(5)
Now,
The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²
It can be written as
⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²
From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)
⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²
⇛ (2/3) + (9×14)+(14)
⇛ (2/3)+(126)+(14)
⇛ (2/3)+140
⇛ [2+(3×140)]/3
⇛(2+420)/3
⇛ 422/3
Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.
If you have any doubt, then you can ask me in the comments.
5-(-5) please i need a answer ASAP
Answer:
10.
Step-by-step explanation:
If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.
Hey there!
GUIDE:
2 negatives = positive
2 positives = positive
1 negative & 1 positive = negative
1 positive & 1 negative = negative
Negatives are BELOW 0 and they are to the LEFT of 0
Positives are ABOVE 0 and they are to the RIGHT of 0
ANSWERING the QUESTION
5 - (-5)
= 5 + 5
= 10
Therefore, your answer is: 10
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I actually don’t understand this can someone please help?
Answer:
It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.
Step-by-step explanation:
1+1
This is pretty easy I know
Answer: 2
Step-by-step explanation: i dont even need to explain
Answer:
2
Step-by-step explanation:
one apple plus one apple gives you two apples :)
Mrs. Rush puts $300 in a bank account that earns 5% interest every year. How much will be in the bank after 3 years? (make sure you include the $ sign and round your answers to two decimal places
Answer:
$945 no cents so no need to round the recimals
Step-by-step explanation:
$300 times the 5% is $15 dollars in interest
so in three years it would be an additional $45 dollars
In one day you earn $75
for 8 hours of work. If
you work 37.5 hours for
the week, what will your
weekly pay be?
Answer:
2812.5
Step-by-step explanation:
At the end of which day does Tyler have 2750 feet left to climb?
1/8+3/4= ______________
Answer:
7/8
you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8
Answer:
The answer is 7/8.
Step-by-step explanation:
First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.
Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?
A.
0.75
B.
0.36
C.
0.5
D.
0.25
Answer:
A
Step-by-step explanation:
Got this right on edmentum
what is the right equation of the graph
Answer:
It's D)
C is incorrect because the constant is + 1, not - 8
A is incorrect because the f doesn't go up by 2 for every x value
B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.
D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1
g(x) = 3x + 1, evaluate g(-2).
Answer:
-5
Step-by-step explanation:
g(x)= 3x+1
g(-2)
g(-2)= 3x+1
g(-2)= 3(-2)+1= -5
What is 52 divided by 2? please help meeeee
A. 16 B. 26 C. 27 D. 36
Answer:
D. 26
Step-by-step explanation:
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╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲
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Brainliest?
Find the area of the sector
if r = 15
A≈706.86
Steps:
A = πr²=π·15²≈706.85835 ( round to the nearest tenth )
= 706.86
Circle Formula:
Diameter of a Circle D = 2 × r
Circumference of a Circle C = 2 × π × r
Area of a Circle A = π × r2
From a group of students, 28 students like rice, 23 students like dumplings, 16 students like both and 11 students do not like rice nor dumplings. How many students were interviewed?
78
Step-by-step explanation:
23+28+16+11=78
people who was interested in the restaurant
Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?
Usando un sistema de ecuaciones, se encuentra que:
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Para el sistema, considera-se que:
x es el peso de una caja grande.y is el peso de una caja pequeña.Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:
[tex]3x + 5y = 112[/tex]
Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:
[tex]6x + 2y = 118[/tex]
Simplificando por 2 :
[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]
Reemplazando en la primera ecuación:
[tex]3x + 5y = 112[/tex]
[tex]3x + 5(59 - 3x) = 112[/tex]
[tex]3x + 295 - 15x = 112[/tex]
[tex]12x = 183[/tex]
[tex]x = \frac{183}{12}[/tex]
[tex]x = 15.25[/tex]
[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Un problema similar es dado en https://brainly.com/question/24646137
ted
Explain how to find each missing digit.
Display each 0-9 tile exactly once.
If you have a partner, take turns.
Answer:
What is a partner
Step-by-step explanation:
plss help ill give brainlest
AYOOOO HELP!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Value of x= `
4x+5y-6z =2
x= (2-5y+6z) divided by 4
For example : if x is 2.5
2.5 = 2 - 5x2 + 6x3
What is 9% as a fraction or mixed number in simplest form?
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
y = -3x + 5
y = 7 + 3(x - 2)
y = 2(x - 1) - 4
y = x - 6
determine if they represent a linear or nonlinear function.
Answer:
linear
Step-by-step explanation:
Can some one please help me please
Answer:
j(10) (÷} =÷9
so let's check 89÷9= 9
A:B is equivalent to 11:5.
Answer:
yeeeeee
Step-by-step explanation:
Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in a year? A: $360 b: $300 C: $30 D: $36
Answer:
d - $36
Step-by-step explanation:
I=Prt
(interest=principle*rate*time in years)
I=1200*.03*1
I=1200*.03
I=36
ang Find any three rational numbers between 2 and 3
Answer:
5/2, 9/4 and 19/7.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not = 0).
The smallest non-zero real number by which √27 should be multiplied so as to get a rational number is:
[tex]a) \: \sqrt{3} \\ b) \: \frac{1}{ \sqrt{3} } \\ c) \sqrt{13} \\ d) \sqrt{27} [/tex]
I doubt between a) and b).
Please solve this and give me the accurate answer. Step-by-step solution needed. Spam free answer required.
Thank you in advance.
Answer:
[tex]b)1/\sqrt{3}[/tex]Step-by-step explanation:
Lets verify one-by-one:
a)
[tex]\sqrt{3} *\sqrt{27} =\sqrt{3*27} =\sqrt{81} = 9[/tex]b)
[tex]1/\sqrt{3}*\sqrt{27} =\sqrt{1/3*27} =\sqrt{9} =3[/tex]c)
[tex]\sqrt{13} *\sqrt{27} =\sqrt{13*27} =\sqrt{39*9} =3\sqrt{39}[/tex]d)
[tex]\sqrt{27} *\sqrt{27} =(\sqrt{27})^2=27[/tex]As we see in three cases we get rational number but the smallest one is 3, this indicates the answer is option b.