Answer: 1/3
Step-by-step explanation:
A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8
Answer:
12 pairs
Step-by-step explanation:
Represent Brown with B and Black with A
So:
[tex]A + B = 20[/tex] --- Pairs sold
[tex]30B + 35A = 640[/tex] --- Amount
Required
Solve for B (the brown pairs)
Make A the subject in the first equation
[tex]A = 20 - B[/tex]
Substitute 20 - B for A in the second
[tex]30B + 35(20-B) = 640[/tex]
Open bracket
[tex]30B + 700 - 35B = 640[/tex]
Collect Like Terms
[tex]30B - 35B = 640 -700[/tex]
[tex]-5B = -60[/tex]
Divide both sides by -5
[tex]B = \frac{-60}{-5}[/tex]
[tex]B =12[/tex]
1.
Which shows the following numbers in order from least to greatest?
124, 12.62, 12.39, 124
a. 12.39, 12.62, 124, 124
b. 12.39, 123. 12.62, 12
c. 128. 12.39, 12.62, 124
d. 124. 124, 12.62, 12.39
(20 points)
Answer: a. 12.39, 12.62, 124, 124
Step-by-step explanation:
The given numbers are : 124, 12.62, 12.39, 124
By using decimals , we convert them into like decimals .
124.00, 12.62, 12.39, 124.00 (To two decimal places)
Now , Least number = 12.39 , Greatest number = 124.00 (Which is repeating)
In order from least to greatest : 12.39, 12.62, 124, 124.
Hence, the correct option is : a. 12.39, 12.62, 124, 124
HELP: Can a triangle have 2 right angles in it? EXPLAIN your answer.
Answer:
No
Step-by-step explanation:
Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.
Answer:
No it cannot
Step-by-step explanation:
the sum of the angles of the triangles has to be 180 so if you have two right angles then the last angle has to be 0 which is not possible
find how long it will take for an investment sum of $40000 to generate simple interest of $8000 at 5% per annum
Answer:
It will take 4 years
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
P is the investmentr is the annual rate in decimalt is the time∵ The investment is $40000
∴ P = 40000
∵ The simple interest is $8000
∴ I = 8000
∵ The rate of interest is 5%
∴ r = 5%
→ Change it to decimal by divide it by 100
∴ r = 5 ÷ 100 = 0.05
→ Substitute them in the formula above
∵ 8000 = 40000 × 0.05 × t
∴ 8000 = 2000t
→ Divide both sides by 2000
∴ 4 = t
∵ t is the time of investment
∴ It will take 4 years
What is 2 5/13 written as a decimal
Answer:
i hope this helpss
Step-by-step explanation:
Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a total of $62.50. Let x be the price of a small bag of popcorn.
Which equation represents the situation?
62.50 + 8x = 40
40 + 8x = 62.50
40 + 5x = 62.50
62.50 + 5x = 40
Answer:
40+5x=62.50
Step-by-step explanation:
8 friends 5 dollars is 40 dollars. Each popcorn bag is 2.5
40+5(2.5)=62.5
40+12.5=62.5
Answer:
62.50 + 8x = 40
Brailest plez and ill give you brainiest!
Step-by-step
Please help!!
The topic is ratios and proportions.
Answer:
Step-by-step explanation:
From the first set 20 corresponds to 1/6
for a fraction of 2/3 = 4/6
thus 4 * 1/6 = 4 * 20 = 80 calories
For 10 calories,
20 * 1/2 = 10 calories thus
1/6 * 1/2 = 1/12
For 90 calories,
10 * 9 = 90 calories thus,
1/12 * 9 = 9/12 = 3/4
I’ve post this like 5 times no one has answered it please help hehe
Answer: UT
Step-by-step explanation:
Not sure but side BC is more elevated and looks similar to side UT in the other shape.
my wyvern died T^T im so sad
Answer: I hope you feel better.
K is the midpoint of PQ, P has
coordinates (-9,-4), and K
has coordinates (-1, 6). What
are the coordinates of Q?
A (-5, 1) C (-11,8)
B (5, 10) D (7.16)
Answer:
Coordinates of Q [tex](x_2,y_2) \:are\: \mathbf{(7,16)}[/tex]
Option D is correct option.
Step-by-step explanation:
We are given:
K is the midpoint of PQ
Coordinates of P = (-9,-4)
Coordinates of K = (-1,6)
We need to find coordinates of Q [tex](x_2,y_2)[/tex]
We will use the formula of midpoint: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We are given midpoint K and [tex]x_1,y_1[/tex] the coordinates of P we need to find [tex]x_2,y_2[/tex] the coordinates of Q.
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\[/tex]
Now, we can write
[tex]-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16[/tex]
So, we get coordinates of Q [tex](x_2,y_2) \:are\: \mathbf{(7,16)}[/tex]
Option D is correct option.
what s the domain for d(x)=850(0.94)x
Given:
The function is
[tex]d(x)=850(0.94)^x[/tex]
To find:
The domain of the function.
Solution:
Domain is the set of input values.
We have,
[tex]d(x)=850(0.94)^x[/tex]
It is an exponential function, with initial value 850 and decay factor 0.94 because 0.94<1.
The exponential functions are defined for all real values of x. So, the domain of exponential function is always the set of all real numbers.
Therefore, the domain of the function d(x) is the set of all real numbers, i.e., R.
pleasee helpppppppp this needs donee
Answer:
-23
Step-by-step explanation:
firstly u need to substitute a to 1/4 and b to 6
16(1/4) to the power of 2 - 4(6) equal to -23
Marge has a book that holds her stamp collection. In this collection, 6 stamps are from England, 7 are from France, 10 are from the United States, and 3 are from Germany. Marge lives in the United States. If she picks a stamp at random from her collection, what is the probability that it is from a foreign country?
Answer:
38.46%
Step-by-step explanation:
there are a total of 6 + 7 + 10 + 3 = 26 stamps in marge's collection
out of these 26 stamps, 10 are from the United States (Marge's home country) and 16 are from foreign countries. If she picks a random stamp, the probability that it is from the United States = 10/26 = 5/13 = 0.3846 = 38.46%
Please help! Will mark brainlessest
11. Determine the solutions to the inequality in interval notation.
(x - 1)(x + 3) < 0
a. (-0, -3) U (1,0)
b. (-3,1)
c. (-0, -1) U (3)
d. [-3,1]
9514 1404 393
Answer:
b. (-3, 1)
Step-by-step explanation:
Quadratic (or any higher-degree) inequalities are nicely solved from their factored form. The factors tell you where the function is zero. Their signs tell you whether the product is greater than or less than zero.
Here the factor (x-1) tells you the function is zero at x=1, where this factor is zero. For values of x > 1, this factor is positive.
The factor (x+3) tells you the function is zero at x=-3, where this factor is zero. For values of x > -3, this factor is positive.
Now we know the signs of the factors are the same for x < -3 (both negative) and for x > 1 (both positive). Between these values, the factors have different signs, so the function value is negative. This interval (-3, 1) is the interval that is the solution to ...
(x -1)(x +3) < 0
A man owe a debt of 90naira and hes to pay back monthly instalments of 2.50 how many years would it take him to finish paying the debt
Answer:
a man owe a debt of 99 naira
naira pays = monthly installments =2.50
how many years would take him to finish the paying the debit
5years
It would take 3 years for him to finish paying the debt.
Given that,
A man owes a debt of 90naira and has to pay back monthly installments of 2.50.
it is to be determined how many years would it take him to finish paying the debt.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Total loan amount = 90
monthly installment = 2.50
Total months for installments = 90 / 2.20 = 36
Total years = number of months / months in ayear = 36 / 12 = 3
Thus, it would take 3 years for him to finish paying the debt.
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Pls help and show workings
Pls, best get brainiest
Answer:
AB is 104
Step-by-step explanation:
In the given figure
∵ CE bisects the segment AB
→ That means CE intersects AB at the midpoint of AB
∵ CE ∩ AB at point F
∴ F is the midpoint of AB
→ The midpoint of a segment divides it into two equal parts
∵ The point F divides AB to FA and FB
∴ FA = FB
∵ FA = 7x + 10
∵ FB = 9x - 2
→ Equate them
∴ 9x - 2 = 7x + 10
→ Add 2 to both sides
∵ 9x - 2 + 2 = 7x + 10 + 2
∴ 9x = 7x + 12
→ Subtract 7x from both sides
∵ 9x - 7x = 7x - 7x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ x = 6
→ Substitute the value of x in FA and FB
∵ FA = 7(6) + 10 = 42 + 10 = 52
∵ FB = 9(6) - 2 = 54 - 2 = 52
∵ AB = FA + FB
∴ AB = 52 + 52 = 104
∴ AB = 104
The sum of two consecutive even integers is 118 what are the integers
Answer:
58 and 60
Step-by-step explanation:
well if we say that x is the first integer
then we have that the next one is
x+2
so we have
[tex]x+(x+2)=118\\\\2x+2=118\\\\2x=116\\\\x=58[/tex]
and the other one is
[tex]x+2=58+2=60[/tex]
Answer:
suppose one of our integers is x. then the next one would be x+2(because they are consecutive). so the equation looks like this :
x + ( x + 2 ) = 118 then we'll have : 2x+2 = 118 then : 2x = 116 .
so x would be 58 and the next one would be 60
Step-by-step explanation:
How much did the pennies weigh in pounds (lbs)?
Answer:
3520 pounds
Step-by-step explanation:
First, we have to find how many pennies equal 2.2 lbs
By seeing that 1 penny equals 4 grams, we can divide 4 into 1,000
By doing this we can find out how many pennies equals 2.2 lbs
It is 250 pennies per 2.2 lbs
Now, it wants 400,000 pennies
So we can do 400,000/250
Which is 1600
1600*2.2 is 3520
So the answer is 3520 pounds
factorize the following
2mh+3mk-2nh-3nk
Answer:
(2h + 3k) (m - n)
Step-by-step explanation:
factor by pairing: pair and factor the first two terms, then pair and factor the remaining two; there should be one factor which duplicates
m is common factor of 1st pair: m(2h+3k)
n is common factor of 2nd pair: n(2h+3k)
answer is one of the duplicate factors (2h+3k) times terms not contained in parentheses (m+n)
Answer:
[tex](2h+3k)(m-n)[/tex]
Step-by-step explanation:
[tex]2mh+3mk-2nh-3nk[/tex]
Just look at the common terms
[tex]2mh-2nh-3nk+3mk = 2h(m-n)-3k(n-m) = 2h(m-n)+3k(m-n)[/tex]
By grouping we have
[tex]2h(m-n)+3k(m-n) =\boxed{(2h+3k)(m-n)}[/tex]
The perimeter of a rectangular carpet is 34 feet. The length of the carpet is one foot shorter than twice the width a) Write and solve an equation to solve for the variable. b) Find the area of the carpet.
please help
Answer:
a.) 3x = 18 (where x = width)
b.) Area = 66 squared feet
Step-by-step explanation:
2{x + (2x-1)} = 34
3x - 1 = 17
x = 6 feet
length = 11 feet
Area = x (2x -1)
HELP ASAP ILL GIVE YOU 13 points
Answer:
the domain and range can be found by horizontal and vertical test
Step-by-step explanation:
6.B
7.D
8.A
9.C
3 of 6
Sushil, Natasha & Fiona share some money in the ratio 1:4:2
In total, Sushil and Fiona receive £39
How much does Natasha get?
Answer:
Amount got by Natasha = £52
Step-by-step explanation:
Given that:
Ratio of Sushil, Natasha and Fiona's share = 1:4:2
Amount of money received by Sushil and Fiona = £39
Let,
x be the number of times.
x+2x = 39
3x = 39
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{39}{3}\\x=13[/tex]
Share of Natasha = 4x = 4(13) = £52
Hence,
Amount got by Natasha = £52
what’s the distance? between j and n
Answer:
Exact Form:
2 √ 17
Decimal Form:
8.24621125 …
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
two functions a and b are described as follows function a: y=8x+3 function b:the rate of change is 1 and the y intercept is 4 how much more is the rate of change of function abthan the slope of function b 1 7 8 9
Answer:
7
Step-by-step explanation:
rate of change of function not necessary mean linear, it can be the slope of a tangent line.
a: y=8x+3 slope = 8
b: rate of change: 1
8-1=7
I wish this is true...
Factor completely. 5x2 - 2x - 7
Answer:
(5x-7)(x+1)
Step-by-step explanation:
Here, we want to factor the given polynomial
That would be;
5x^2-7x+5x-7
= 5x^2+5x-7x-7
= 5x(x + 1) -7(x + 1)
= (5x-7)(x+ 1)
A town spends 43% of its annual budget on education.
If the town’s budget is one million dollars, how much will be spent on education?
Answer:
430,000 dollars will be spent on education.
Step-by-step explanation:
np
I need help I will give brainiest
Answer:
22___16___38
29___9___38
51___25___76
Step-by-step explanation:
22+_=_
29+9=_
_+25=_
_______________________________
22+_=_
29+9=38
_+25=_
________________________________
22+16=_
29+9=38
_+25=_
________________________________
22+16=38
29+9=38
_+25=_
________________________________
22+16=38
29+9=38
51+25=_
________________________________
22+16=38
29+9=38
51+25=76
13 A scout group has a raffle to raise money for charity,
There is I prize to be won in the raffle.
Laura buys 12 raffle tickets.
A total of 350 raffle tickets are sold.
Find the probability that Laura does not win the prize.
(Total for Question 13 is 2 marks)
Answer:
29%
Step-by-step explanation:
The probability that Laura does not win the prize is 0.9657
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability that Laura wins be = P ( x )
So , the probability that Laura does not win is = 1 - P ( x )
Let the total number of raffle tickets to be sold is = 350 raffle tickets
The number of tickets Laura bought = 12 raffle tickets
Therefore , the probability that Laura wins the prize =
number of tickets Laura bought / total number of raffle tickets
The probability that Laura wins the prize P ( x ) = ( 12/350 )
Now ,
The probability that Laura does not win is = 1 - P ( x )
The probability that Laura does not win = 1 - ( 12/350 )
The probability that Laura does not win = ( 350 - 12 ) / 350
The probability that Laura does not win = 338 / 350
The probability that Laura does not win = 0.9657
Hence , The probability that Laura does not win the prize is 0.9657
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(GEOMETRY) What is the length of the radius of the circle?
Answer:
[tex]r=\frac{5}{2}\sqrt{2}[/tex]
Step-by-step explanation:
Triangles And Circles
If a right triangle is inscribed in a circle (or the circle is circumscribed around the right triangle), then the hypotenuse of the triangle is the diameter of the circle.
The right triangle has both legs of known lengths, thus the hypotenuse (the diameter of the circle is):
[tex]d^2=5^2+5^2[/tex]
[tex]d^2=25+25=50[/tex]
[tex]d=\sqrt{50}[/tex]
Since 50=2*25:
[tex]d=5\sqrt{2}[/tex]
Thus the radius of the circle is:
[tex]r=\frac{d}{2}[/tex]
[tex]r=\frac{5\sqrt{2}}{2}[/tex]
[tex]\boxed{r=\frac{5}{2}\sqrt{2}}[/tex]