Answer:my age = 13years,My brother's age =16years,My sister's age=11years,my mom's age =47years
Step-by-step explanation:
Step 1
Let my age be represented as x
My brother's age be represented as x+3
My sister's age =x-2
and my mum's age be 3(x+3)-1 with the total of all our ages = 87 Giving us the equation
x+ x+3+ x-2+ 3(x+3)-1 = 87
Step 2 ---Solving
x+ x+3+ x-2+ 3(x+3)-1 = 87
x+ x+3+ x-2+ 3x+9 -1 = 87
6x + 9= 87
6x= 87-9
6x= 78
x =78/6 = 13
Therefore my age = 13years
My brother's age = x+ 3 = 13+3= 16years
My sister's age = x-2 =13-2 = 11years
my mom's age = 3(x+3)-1= 3(13+ 3)- 1= 3 x 16 - 1 = 47years
help with this bounds question please
Answer: 6.68km/litre
Step-by-step explanation:
Distance(d) = 187km ( to 3 significant figures)
Petrol(p) = 28litres ( to 2 significant figures)
A number, x, rounded to 1 significant figure is 200
Write down the error interval for x
Calculating the lower and upper bound for both 'd' and 'p'
Upper bound 'd' = 187.5km
Lower bound 'd' = 186.5km
Upper bound 'p' = 28.5km
Lower bound 'p' = 27.5km
Therefore,
Petrol consumption (C) = d/p
Upper C = 187.5 / 28.5 = 6.57894
Lower C = 186.5 / 27.5 = 6.781818
Accuracy answer for C = (6.57894 + 6.781818) / 2 = 6.680379
= 6.68km/ litre ( to 3 significant figures)
To achieve a reasonable level of accuracy, the upper and lower bounds of P and D was used to calculate C, which was then averaged.
Using 3 significant figures ensure that we capture the C better, instead of early rounding.
y = -x + 2
y = 3x – 4
what's the value of x and y
The spinner shown is spun 300 times.
a) How many times would you expect the arrow
to stop on green if the spinner is fair?
The table below shows the number of times
the arrow stops on each colour.
Pink
Green
Colour
Frequency
Blue
45
Red
37
Purple
72
52
94
b) The spinner is spun once more.
Estimate the probability of landing on purple.
c) If the spinner is spun another 1000 times,
about how many times would you expect it to land on blue?
Answer:
A) 60
B) 72/300
C) 150
Step-by-step explanation:
A) P(green) = ⅕
⅕ × 300 = 60
B) purple: 72
45+37+52+94+72 = 300
Therefore, 72/300
C) 1000 × (45/300)
150
a, The number of times is 60.
b. The probability for landing should be [tex]72/300[/tex]
c. The number of times is 150.
Calculation of the number of times and probability:Since
a. The spinner shown is spun 300 times
and, the probability of green should be like [tex]1/5[/tex]
So here one-fifth of 300 should be 60.
b. The probability is
First the total be like
= 45+37+52+94+72
= 300
Now the probability is
= [tex]72/300[/tex]
C) The number of times should be
[tex]= 1000 * (45/300)[/tex]
= 150
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Fatima used a coupon to pay for a pair of jeans. The original price of the jeans was $25. The coupon reduced the price to $16. Which equation can you use to help you find the value of the coupon? *
Answer:
16+c=25
Step-by-step explanation:
When you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5. What is the least possible natural number n?
and other question
When you divide 12,650 by n , the remainder is 2. When you divide 5,800 by n the remainder is 3. What is the least possible natural number n?
Bonus If you want brainly answer these 2 other questions
n is a natural number. Find the greatest possible value of the GCD of
(2n+25) and (n+15)
Also answer
(2n+25) and (n+15)
Answer:
First Q: The smallest value for which n works is 11.
Second Q: Smallest here is 17.
Third Q: I don't know this one, sorry!
Fourth Q: n is -10.
Step-by-step explanation:
For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).
Q1:
First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)
Then, list the factors
2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
1573: 1, 11, 13, 121, 143, 1573
These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.
Q2:
Repeat the steps from Q1.
12650 - 2 = 12648; 5800 - 3 = 5797
12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648
5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797
These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.
Q4 (I don't know how to do Q3 yet):
2n + 25 = n + 15
Subtract n from both sides
n + 25 = 15
n = 15 - 25
Subtract 25 from 15 to get -10
n = -10
Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!
The least possible natural number n is 11.
Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.
What is GCD?The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.
Question 1:
First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)
Then, list the factors
2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
1573: 1, 11, 13, 121, 143, 1573
11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.
Question 2:
First, subtract the remainders from the numbers
That is, 12650 - 2 = 12648; 5800 - 3 = 5797
List the factors:
12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648
5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797
17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.
Therefore, the least possible natural number n is 11.
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HELP HELP HELP!!!!! Please help!
Answer:
Regular peanut butter - .23
Family Size Peanut Butter - .15
Answer:
#1: 0.23
#2: 0.15
Step-by-step explanation:
1.38/ 6= 0.23
6*0.23= 1.38
7.80/ 52= 0.15
0.15*52= 7.80
Simplify the expression by combining like terms.
3.6x+5.9−2.2−1.7x
Enter your answer as an expression, like this: 42x+53
solve inequality for x.
Answer:
x < 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-2x > -12
Step 2: Solve for x
Divide -2 on both sides: x < 6Here we see that any value x smaller than 6 would work as a solution to the inequality.
Answer:
x < 6
Step-by-step explanation:
Hello!
We can solve inequalities the same way as we solve equations. The most important rule is that when you divide or multiply both sides by a negative number, flip the sign.
Solve for x-2x > -12-2x / -2 < -12 / -2 (flip the sign!)x < 6The solution set for x is all values less than 6.
Solving One Step Equations. SHOW YOUR WORK
-143 = -11x solve to find x
Step-by-step explanation:
-143 = -11x : Original problem
[tex]\frac{-143}{-11}[/tex] = [tex]\frac{-11x}{-11}[/tex] : Isolating the variable
13 = x : Simplification (Note: when you divide a negative number by a negative number, the answer is positive)
Answer: x=13
Hope this helps!!!
The shed in Stephanie’s back yard has a door that measures 6 feet high and 3 feet wide. Stephanie would like to buy and store a ladder in the shed diagonally. What is the maximum height, in feet, of a ladder she can buy to fit through the door?
Answer:
the answer is 6 ft hope it helps
The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
The shed in Stephanie’s back yard has a door that measures 6 feet high and 3 feet wide.
Now, By using Pythagoras theorem;
The length of a ladder she can buy to fit through the door is, x
⇒ x² = 6² + 3²
⇒ x² = 36 + 9
⇒ x² = 45
⇒ x = √ 45
⇒ x = 6.7 feet
Thus, The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet
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what’s the equation?
Answer:
The equation is;
y = 2x^2 -8x + 12
Step-by-step explanation:
The vertex form can be written as;
a(x-h)^2 + k
(h,k) represents the coordinates of the vertex
In this case, we have this as (2,4)
The value of a is positive as the parabola opens up and it is the axis of symmetry
It is the x value that divides the graph into 2
Thus, we have x as = 2
so the equation of the graph will be;
2(x-2)^2 + 4
2(x^2 - 4x + 4) + 4
= 2x^2 -8x + 8 + 4
= 2x^2 -8x + 12
In a survey of 2,800 people who owned a certain type of car, 1,540 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55%
Step-by-step explanation:
Calculation for What percent of the people surveyed were satisfied with the car
Percentage of people satisfied=1,540 people/2,800 people
Percentage of people satisfied=0.55*100
Percentage of people satisfied=55%
Therefore the percent of the people surveyed were satisfied with the car is 55%
Write x^2-8x+22 in the form (x-a)^2 +b
Answer:
[tex] {(x - 4)}^{2} + 6[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]
The completed square form of x² - 8x + 22 = 0 is (x - 4)² = - 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, a quadratic equation x² - 8x + 22 = 0.
We know (a - b)² = a² - 2ab + b².
∴ x² - 8x + 22 = 0 is
(x)² -2(x)(4) + 4² + 6 = 0.
(x - 4)² = - 6.
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NEED DONE BY 8 PLEASE HELP!!
Answer:
a. 8 y/s; divide 40(distance) by 5(time)
b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on
c. 80 yards; multiply time and distance 8×10
A cook uses 4 ounces of flour to make
12 cup cakes. How much flour would
he use to make 36 cup cakes?
Answer:
12 ounces flour
Step-by-step explanation:
4 ounces 12 cup cakes
8 ounces 24 cup cakes
12 ounces 36 cup cakes
PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?
10 HOURS
40 HOURS
50 HOURS
90 HOURS
Answer:
40 hours
Step-by-step explanation:
first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours
What is the highest common factor of 45 and 315?
The GCF of 45 and 315 is 45. So before conformation of my answer refer to your math teacher .
a baker needs 3/5 cup of water 2/3 cup flour using this ratio how much flour is needed for 1/3 cup water?
10/27 cup
3/10 cup
2/15 cup
1/36 cup
Answer:
10/27 cups
Step-by-step explanation:
y = how much flour is needed
set up proportion of water to flour equals water to flour
[tex]\frac{3/5}{2/3}[/tex] = [tex]\frac{1/3}{y}[/tex]
cross-multiply: 3/5 y = 2/9
multiply each side by the reciprocal of 3/5
5/3 · (3/5)y = 2/9 · (5/3)
y = 10/27
Answer: 10/27 cups flour.
Step-by-step explanation:
Compare fractions 3/5 and 1/3:
[tex]\dfrac{3}{5}=\dfrac{3 \times 3}{5 \times 3} =\dfrac{9}{15} \\\\ \dfrac{1}{3}=\dfrac{1 \times 5}{3 \times 5} =\dfrac{3}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}[/tex]
1/3 is less than 3/5 because 3/15 is less than 9/15.
Find how many times 1/3 is less than 3/5:
[tex]\dfrac{3}{5} \div \dfrac{1}{3} =\dfrac{3}{5} \times \dfrac{3}{1}=\dfrac{9}{5}[/tex]
This means that flour should also be taken 9/5 times less:
[tex]\dfrac{2}{3} \div \dfrac{9}{5} =\dfrac{2}{3} \times \dfrac{5}{9} =\dfrac{10}{27}[/tex]
Jamal runs for a track team. He ran 2.1 miles in 1/3 of an hour. What is Jamal's rate of speed?
Answer:
6.3
Step-by-step explanation:
Answer:
7h
Step-by-step explanation:
Jakob used the table shown to find a ratio which is equivalent to 5:9.
a multiplication table here
Which ratio is equivalent to 5:9?
10:36
10:27
20:27
20:36
Answer:
20:36
Step-by-step explanation:
5 x 4 = 20
9 x 4 = 36
Final answer: 20:36
is it possible to draw a triangle with numbers 5,6,11
Answer:
No
Step-by-step explanation:
Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].
11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].
We now calculate to see if this is true.
25 + 36 [tex]\neq[/tex] 121
Therefore, the answer is wrong.
Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.
11) 6x2+ 6x3
12) -6x 2 + (-6) x3
13) 5x - 8x
Answer:
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
Step-by-step explanation:
Let us solve the question one by one.
11) 6x^2+ 6x^3
In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.
[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]
The factored form is:
[tex]= 6.x.x+6.x.x.x[/tex]
12) -6x^2 + (-6) x^3
Similarly, as 11
[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]
The factored form is:
[tex]=-6.x.x+ (-6).x.x.x[/tex]
13) 5x - 8x
We can clearly see that there is only one common factor in both terms which is x
[tex]5x = 5.x\\8x = 8.x[/tex]
The factored form is:
[tex]=5.x-8.x[/tex]
Hence,
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
the _________ is a number that is multiplied. the number that indicates how many times this number is used as a factor is the ___________
The base is a number that is multiplied. The number that indicates how many times this number is used as a factor is the exponent
For example, the number 2^3 expands out to 2*2*2. We have three copies of the base '2' being multiplied.
Another example: 5^2 = 5*5.
Answer:
The "Factor" is a number that is multiplied. The number that indicates how many times this number is used as a factor is the "Exponent".
Step-by-step explanation:
Example: 7 • 7 can be written as 72, 7 is the base and 2 is the exponent. The exponent 2 means there are two factors.
Hope it helped : )
2. Are these ratios equal? 6:10 and 5:20
Answer:
No
Step-by-step explanation:
Think of it like this. 6/10 is 60% and 5/20 is 25%. These two values aren't the same.
Write the fraction 9/12 as a percent
9/12 = 75%
if any questions just ask.
Answer:
75%Step-by-step explanation:
9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.l hope it helps you ❤❤How many cups are in 16 quarts? 1 quart = 4 cups
Answer:
64
Step-by-step explanation:
4 cups * 16 quarts = 64 cups
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps
Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]
Then, the cost price of this bicycle :
[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]
[tex] = \tt \frac{285000}{114} [/tex]
[tex] =\color{plum} \tt2500[/tex]
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]
[tex] = \tt2500 = \frac{100x}{108} [/tex]
[tex] =\tt 100x = 2500 \times 108[/tex]
[tex] = \tt100x = 270000[/tex]
[tex] =\tt x = \frac{270000}{100} [/tex]
[tex] =\color{plum}\tt x = 2700[/tex]
Therefore, the selling price with a profit of 8% will be = 2700
What is the postulate?
Solve for x please: 9=8/5(x+5)
Answer:
5/8 =x
Step-by-step explanation:
9=8/5(x+5)
Multiply each side by 5/8
5/8 *9= 5/8 *8/5(x+5)
45/8 = x+5
Subtract 5 from each side
45/8 - 5 = x+5-5
45/8 -5 = x
Get a common denominator
45/8 - 5*8/8 =x
45/8 - 40/8 =x
5/8 =x
In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)
∘
, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)
∘
, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)
∘
. What is the value of x?x?
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
