Answer:
30 comedy DVDs
35 Action DVDs
5 Horror DVDs
Step-by-step explanation:
Total Parts of the ratio are = 6+7+1 = 14 parts
Now Finding:
1) Comedy:
=> [tex]\frac{6}{14} * 70[/tex]
=> 6 * 5
=> 30 comedy DVDs
2) Action:
=> [tex]\frac{7}{14} * 70[/tex]
=> 7 * 5
=> 35 Action DVDs
3) Horror:
=> [tex]\frac{1}{14} * 70[/tex]
=> 1*5
=> 5 Horror DVDs
Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by
compounding continuously? Round to the nearest cent.
Answer:
The total in the account after 10 years would be: $14,190.68
Step-by-step explanation:
Recall the formula for continuous compounding:
[tex]A=P\,e^{r\,t}[/tex]
where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:
[tex]A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68[/tex]
Therefore the total in the account after 10 years would be: $14,190.68
The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +
(1-4)²
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Given
[tex]Points: (x_7 - y_i),(4,8)[/tex]
Required
Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]
Given that there are two points, the distance between them is calculated using
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this case;
[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]
Substitute these in the given formula
Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
Comparing this with the given formula, both are not the same;
Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
In the diagram, point P is a point of tangency. Find the radius r of circle O.
Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
Answer:
r=12
Step-by-step explanation:
Here's a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form
Answer:
y = 0.5x + 3
Step-by-step explanation:
First consider the slope of this line. If two points that lie on this line are ( 0, 3 ) - ( which is supposedly the y - intercept ), and ( 2, 4 ) take that change in y / change in x to derive the slope;
[tex]( 0, 3 ), ( 2, 4 )\\\\\\Slope = 3 - 4 / 0 - 2,\\Slope = - 1 / - 2\\Slope = 1 / 2 \\\\Slope = 0.5[/tex]
I did mention earlier that the y - intercept was found to be 3. If that is so, taking the equation in point - slope form, we can tell the equation of the line through the following steps;
[tex]y = mx + b,\\m = slope, \\b = y - intercept\\\\Equation, y = 0.5x + 3[/tex]
HELP ME PLEASE! i need help.
Answer: 2 goes to 3 3 goes to 2 1 goes to 4 and 4 goes to 1
Step-by-step explanation:
Step-by-step explanation:
i think like this one
hope it right
Squares and rectangles have the same properties except ANSWERS: A) Opposite angles are congruent. B) Opposite sides are parallel. C) All four sides are congruent. D) Opposite sides are congruent.
Answer: C
Step-by-step explanation:
C) All four sides are congruent
A rectangle does not have all four sides that are congruent to each other (In harmony) however a square does because all it's sides are equal!
A rectangle does not have equal sides, only it's parrel sides are equal to each other.
If this really helped please mark me brainliest!
Answer:
C. All four sides are congruent
Which coordinate pair is a solution of the linear
equation below?
5x – 3y = -21
Click on the correct answer.
(9,-8)
(-9,-8)
(-9,8)
Answer:
5x - 3y = -21
5x - 3y
= 5(-9) - 3(-8)
= -45 + 24
= -21
the answer is (-9,-8)
Anyone help with this too?
Answer:
36
Step-by-step explanation:
I cant be asked
Answer:
the answer is x = ( 5 + r )²
Step-by-step explanation:
I hope this was helpful
What is the point-slope equation of the line with slope
3/2
that goes through the
point (-3,5)?
Answer:
y-5 = 3/2(x+3)
Step-by-step explanation:
The point slope form of the equation for a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-5 = 3/2(x--3)
y-5 = 3/2(x+3)
Answer:
y-5 = 3/2(x+3)
Step-by-step explanation:
I did ze math
Will name brainliest please help me.
Answer:
CD = 9
Step-by-step explanation:
ΔADE is similar to ΔBCD
Such that:
AD is similar to CD
BD is similar to ED
AE is similar to BC
Taking the proportion of their sides to find the unknown sides CD
=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]
Cross Multiplying
=> 2(CD) = 3*6
=> CD = 18/2
=> CD = 9
Mikes mother took 18 minutes to make 2 bowls of salad. How long would it take to make 7 such bowls of salad?
Answer:
63 minutes or 1 hour 3 minutes
Step-by-step explanation:
We can use ratios to solve
18 minutes x minutes
--------------- = --------------
2 bowls 7 bowls
Using cross products
18*7 = 2x
Divide by 2
18/2 *7 = x
63 minutes
Answer: 63 minutes or 1 hour and 3 minutes
Step-by-step explanation:
18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.
18 / 2 = 9
Now multiply that by 7 to find out how long it takes to make 7 bowls.
9 * 7 = 63
63 minutes
How many hundreds in a billion
Answer:
Step-by-step explanation:
1 one 10 ten 100 hundred 1.000 one thousand 10,000 ten thousand 100,000 hundred thousand 1,000,000 One million 10,000,000 ten million 100,000,000 Hundred million 1,000,000,000 One billion 10,000,000,000 ten billion 100,000,000,000 hundred billion 1,000,000,000,000 one trillion etc.
Answer:
10,000,000
Step-by-step explanation:
Select the correct shapes.
Select the shapes that are similar to shaoe A
Answer:
A , B and C are similar to each other
Step-by-step explanation:
Please give me branlest
HELP ME PLSSSSSsss Solve the following inequality: 5|2x + 4| > -10? Would it be all real numbers....
Answer:
all real numbers
Step-by-step explanation:
5|2x + 4| > -10
Divide by 5
5/5|2x + 4| > -10/5
|2x + 4| > -2
An absolute value is always greater than a negative number so the solution is all real numbers
At the sandwich shop, there are 3 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 3 C. 7 D. 12
Answer:
D. 12
Step-by-step explanation:
D. 12 as 4 x 3 = 12
Proof
1 1
1 2
1 3
1 4
2 1
2 2
2 3
2 4
3 1
3 2
3 3
3 4
Sandwiches = 12
Answer:
12
Step-by-step explanation:
4*2=12
please mark me brainliest :)
The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in slope-intercept form that contains point (4, 5)?
y = −2x + 13
y = negative one halfx + 7
y = negative one halfx + 3
y = −2x − 3
Answer:
y = −2x + 13
Step-by-step explanation:
equation of line slope intercept form is y = mx +c
where m is slope and c is y intercept
when two lines are parallel then their slope are equal.
_______________________________________
Given line
CD
y = −2x − 2
it is in form of y = mx +c
thus, m = -2
Given that other line parallel to CD y = −2x − 2
Thus, its slope will be -2.
Let the equation of required line be
y = mx +c (as slope will be -2)
Then equation of line will be
y = -2x +c
Given that this line contains (4,5) it will satisfy the equation y = -2x+c
using x = 4 and y = 5
we have
y = -2x +c
5 = -2*4 + c
=> 5 = -8 + c
=> c = 5+8 = 13
Thus, equation of line parallel to y = −2x − 2 and containing point(4,5) is
y = −2x + 13
Answer:
A. y = −2x + 13
Step-by-step explanation:
4/7 divided by 7/2?????
Answer:
8/49
Step-by-step explanation:
4/7 ÷7/2
Copy dot flip
4/7 * 2/7
Multiply the numerators
4*2 = 8
Multiply the denominators
7*7= 49
numerator over denominator
8/49
Answer: 8/49
Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.
So 4/7 ÷ 7/2 means the same thing as 4/7 · 2/7.
So when dividing by a fraction, we can just multiply by the
reciprocal of that fraction or that fraction flipped.
Now multiply across the numerators
and denominators to get 8/49.
Since 8/49 is in lowest terms, it's our final answer.
Neil is making colorful friendship bracelets for 6 of his friends. He has all of the colors of
thread he plans to use except for green. If every bracelet uses 22 inches of each color of
thread, how many feet of green thread should Neil buy from the craft store?
Answer:
11 feet(or 132 inches)
Step-by-step explanation:
Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.
The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.
132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.
Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.
If a person can complete a job in 8 hours and his/her friend needs 6 hours to do the same job, what portion of the job would the tow of them complete by working together
for two hours?
Both of them can complete 7/12 of the job in 2 hours.
What is rate?Rate is the mathematical term use to show how one quantity varies with a standard quantity.
Analysis:
If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour
If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.
So both of them would do the same job combine in 1 hour = 1/8 + 1/6
LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24
In 2 hours they would complete = 7/24 x 2 = 7/12
In conclusion, both of them can do 7/12 of that job in 2 hours.
Learn more about rate: brainly.com/question/24304697
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Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music lessons would have to be taken for the cost to be the same for members and nonmembers? A. 85 B. 8 C. 3 D. 105
ASAPPP What is the slope of the line represented by the equation y
3?
-3
4
o
O
The slope of the line represented by this equation is 4/5.
We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).
This equation is in slope-intercept form, or
y = mx + b where m is the slope and b is the y-intercept. The number in the m position in our equation is 4/5, so the slope is 4/5
Hope this helps!
please mark me brainliest!
If the two factors in a multiplication problem are integers with different signs how does the product compared to other number?
Answer and Step-by-step explanation:
Well, the product would not change much. If we took the problem -3*7 it has one negative number and one positive number. Now, the rule is when there is two different signs, the answer becomes negative right away. So, your answer would be -21. If the integers were the same, the equation would be 3*7=21. Therefore, there is not much change in the product only the signs.
A new television set was recently purchased for the common room in a Residence Hall for $ 499.20 including tax. If the tax rate is 4 %, find the price of the television set before taxes. $______(Type an integer or a decimal rounded to two decimal places.)
Answer: $479.20
Step-by-step explanation:
[tex]499.20*0.04=19.968[/tex]
[tex]round \\[/tex] [tex]19.968[/tex]
= 20
tax= $20
[tex]499.20-20=479.2[/tex]
The price of the TV before tax was $479.20
Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. Using the side-splitter theorem, which segment length would complete the proportion? StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction GF JH GJ EF
Answer:
GJ
Step-by-step explanation:
The "Side Splitter" Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
In this case, lines EF and HJ are parallel, H is on side EG and J is on side GF; then using the side-splitter theorem:
[tex] \frac{GH}{HE} = \frac{GJ}{JF} [/tex]
Answer:
It is C
Step-by-step explanation:
Took it on Edg
HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. The Air Force plane flew at 325 mph for two hours. After this time the planes were 5150 mi. apart. Find the cargo plane's speed.
The cargo plane's speed was 500 mph.
Rewrite in radical form PLEASE HELP
Answer:
b)7c∛d⁵
or
c) 7c∛d⁵
Both options are the same
Step-by-step explanation:
In the above diagram, we are asked to simplify this:
= ∜c × 2d⁴/³ ×1/2c¾ ×7∛d
Collect the like terms
= ∜c × 1/2c³/⁴ × 2d⁴/³ × 7∛d
= c¹/⁴ × 1/2c³/⁴ × 2d⁴/³ × 7d¹/³
= [1 × 1/2c(¹/⁴ + ³/⁴)] × [2 × 7d(⁴/³ +¹/³)
= 1/2c(¹) × 14d(⁵/³)
= 1/2c× 14d(⁵/³)
Collect the whole number together
= 1/2× 14 [C × d(⁵/³)]
= 7cd⁵/³
Writing it in a radical form
= 7c∛d⁵
The table below shows student's preferred European football clubs as indicated in a survey run by
their math teacher. If two students were selected without replacement at random, what is the
probability that the first and second students prefer Juventus?
Answer:
Option D. 91/4950
Step-by-step explanation:
The following data were obtained from the question:
Barcelona (B) = 23
Real Madrid (R) = 23
Liverpool (L) = 22
Manchester City (M) = 18
Juventus (J) = 14
Total (T) = 100
Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:
P(J1) = n(J) /n(T)
P(J1) = 14/100
Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e
Juventus = 13
Total = 99
Therefore, the probability that the 2nd pick is Juventus is given below:
P(J2) = 13/99
Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:
P(J1 and J2) = P(J1) x P(J2)
P(J1) = 14/100
P(J2) = 13/99
P(J1 and J2) = P(J1) x P(J2)
P(J1 and J2) = 14/100 x 13/99
P(J1 and J2) = 7/50 x 13/99
P(J1 and J2) = 91/4950
Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950
given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]
Step-by-step explanation:
[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]
then for y:
[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]
so:
[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]
Solve the formula 27a+1/2b=4 for a.
Answer:
a = 4/27 - b/54
Step-by-step explanation:
27a+1/2b=4
Subtract 1/2 b from each side
27a+1/2b - 1/2 b=4-1/2 b
27a = 4 - 1/2 b
Divide each side by 27
27a/27 = 4/27 - 1/2 b/27
a = 4/27 - b/54
10. Simplify this expression: 13+ (-12) - (-5) = ?
A.-30
B. -6
C.6
D. 30
Answer:
C
Step-by-step explanation:
Noting that
+ (- ) is equivalent to subtraction
- (- ) is equivalent to addition
Given
13 + (- 12) - (- 5)
= 13 - 12 + 5
= 1 + 5
= 6 → C
Answer:
C) 6
Step-by-step explanation:
13 + (-12) - (-5) = 13 + (-12) + 5
= 1 +5
= 6
13 & (-12 ) have different sign, so subtract and put the sign of the greater number's sign.