[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}Base\times Height[/tex]
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(18)(13.5)[/tex]
[tex]\\ \sf\longmapsto Area=9(13.5)[/tex]
[tex]\\ \sf\longmapsto Area=121.5cm^2[/tex]
A collection of quarters and dimes has a total value of$5.00 and contains 32 coins. How many of each kind of coins are there in the collection?
9514 1404 393
Answer:
12 quarters
20 dimes
Step-by-step explanation:
If all were dimes the value would be $3.20. It is $1.80 more than that. Each replacement of a dime with a quarter adds $0.15 to the value, so there must be $1.80/$0.15 = 12 such replacements.
There are 12 quarters and 20 dimes.
_____
Let q represent the number of quarters.
0.25q +0.10(32 -q) = 5.00 . . . . . total value
0.15q +3.20 = 5.00 . . . . . . . . . simplify
q = (5.00 -3.20)/0.15 . . . . . . subtract 3.20 and divide by 0.15
q = 12
I need help whats the answer ?
Here, we're looking for the unit rate, or how many words James can type in 1 minute.
Let's use 300 words in 10 minutes to find words per minute.
300 words / 10 minutes = 30 words per minute
Hope this helps!
Answer:
30 words per minute
Step-by-step explanation:
Take the number of words and divide by the number of minutes
150/5 = 30
300/10 =30
450/15 = 30
600/20 = 30
30 words per minute
Please help ASAP help please due soon
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Answer:
75 in2
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
5*5= 25 in.
Triangles (4):
[tex]5*5*\frac{1}{2} =12.5[/tex]
Multiply by 4.
12.5*4= 50 in.
Add all them up.
25+50= 75
FOR EASY BRAINLIEST ANSWER THE QUESTION BELOW:
Write an equation for the line . Write it in the form : Ax + By = C 14 ) Through (1, - 2); m = - 5
Answer:
5x+y=3
Step-by-step explanation:
Slope = -5,
y intercept b=-2-(-5)×(1)=3
so, y=-5x+3
or, 5x+y=3
Answered by GAUTHMATH
PLS how to do this 3 sums
Answer:
Step-by-step explanation:
7) PQ // RS, RQ is transversal
x = 38 {Alternate interior angles are congruent}
In ΔPQR ,
x + y + ∠P = 180 {Angle sum property of triangle}
38 + 90 + y = 180
128 + y = 180
y = 180 - 128
y = 52
9) Construct XY // AB
XY // AB & AC is transversal
∠1 = ∠4 ---------(I) {alternate interior angles are equal}
XY // AB & BC is transversal
∠3 = ∠5 ---------(II) {alternate interior angles are equal}
∠1 + ∠2 + ∠3 = 180 {straight line angles}
∠4 + ∠2 + ∠5 = 180 {From (I) & (II) }
Sum of three angles of triangle is 180.Hence proved.
If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the fifth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
Step-by-step explanation:
So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.
Year 1 total: $2136.33
Year 2 total:$2173.29
Year 3 total:$2210.89
Year 4 total:$2249.14
Year 5 total:$2288.05
Total Paid After 5 years:$11057.70
Year 1 total interest:$36.33
Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91
Total Interest paid after 5 years:$188.05
Can you answer this math homework? Please!
Step-by-step explanation:
The second option is the answer.
SOMONE PLEASEE HELPPP MEEEEEEEE!!!
Answer:
? = 36 degrees
Step-by-step explanation:
To find this measure, we use the appropriate trigonometric ratio
from the question, the angle faces the length 26 which represents the opposite
the length 44 faces the angle 90, which is the hypotenuse
The trigonometric ratio that connects both is the sine
The sine of an angle is the ratio of the opposite to the hypotenuse
Thus;
sine ? = 26/44
? = arc sine (26/44)
? = 36
Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand
Answer:
1) 44
a) 7 + 37
b) 3 + 41
c) 13 + 31
2) 36
a) 5 + 31
b) 7 + 29
c) 17 + 19
3) 24
a) 5 + 19
b) 7 + 17
c) 11 + 13
4) 18
a) 5 + 13
b) 7 + 11
Expressing the numbers as sum of two odd primes we have,
44 = 41+3 = 37+7 = 31+1336 = 31+5 = 29+7 = 23+13 = 19+1724 = 19+5 = 17+7 = 13+1118 = 13+5 = 11+7What is Prime Number?Prime numbers are numbers which are only divisible by 1 and itself.
Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...
What is Odd number?Odd numbers are numbers which are not divisible by 2.
Odd numbers are give by: 1,3,5,7,9,11,.....
2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.
So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....
Expressing the give numbers as the sum of odd prime numbers we get,
A) 44
41+3 = 44
37+7 = 44
31+13 = 44
B) 36
31+5 = 36
29+7 = 36
23+13 = 36
19+17 = 36
C) 24
19+5 = 24
17+7 = 24
13+11 = 24
D) 18
13+5 = 18
11+7 = 18
Learn more about Odd Prime Numbers here -
https://brainly.com/question/1593928
#SPJ2
i need help asap....................
Answer:
what even is that..
Step-by-step explanation:
What is the solution to this equation?
log_7 (5 + 11x) = 2
Answer:
x = 4
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]
Given
[tex]log_{7}[/tex] (5 + 11x) = 2 , then
5 + 11x = 7² = 49 ( subtract 5 from both sides )
11x = 44 ( divide both sides by 11 )
x = 4
Jennifer bought 12 pens. Out of 12 pens, 7 are blue and the rest are red.
What is the ratio of the number of red pens to the total number of pens?
Answer:
The answer is 5:12
Step-by-step explanation:
It is 5:12 because We already know that 7 pens are blue. To find the number of red pens we must subtract 12 - 7 and get 5 as the number of red pens. Now knowing the no. of red pens and total number we can say the ratio of red pens to total no. is 5:12
What is the approximate area of the figure below?
A. 27 square units
B. 29 square units
C. 30 square units
D. 36 square units
Answer:
C : 30 SQUARE UNITS
when servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula
time = 1 hour + 45 minutes per radiator
he charges his costumer a call-out fee of £30, plus £20 per hour
how much should a costumer be charged for servicing a heating boiler and four radiators
Answer:
£110
Step-by-step explanation:
We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.
Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:
[tex](45*4)/60[/tex]
We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:
[tex]180/60=3[/tex]
Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:
[tex]3*20=60[/tex]
Now we add our totals for a grand total of...
[tex]50+60=110[/tex]
HELP!!!!!
If anyone knows the answer please tell me as soon as possible!!
PLEASE!!!!
Juan, Pedro y Luis construyen un muro de 60 metros de largo. Juan construye el triple de Pedro y Luis el doble de Juan. ¿Cuántos metros construyó cada uno?
Answer:
Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.
Step-by-step explanation:
Juan, Pedro and Luis build a 60 meter long wall. Juan builds triple the size of Pedro and Luis double the size of Juan. How many meters did each one build?
Total length of the wall is 60 m.
Let Pedro make p length of the wall.
Juan make = 3 p
Luis make = 6 p
So,
According to the question
60 = p + 3 p + 6 p
60 = 10 p
p = 6
So, Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.
What is the value of x
Answer:
[tex]x=61^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to 180 degrees. Therefore, we have the following equation:
[tex]x+67+52=180,\\x=180-67-52=\boxed{61^{\circ}}[/tex]
If a right circular cone is intersected by a plane only at its vertex, as in the
picture below, what shape is produced?
o
A. A line
B. A circle
Ο ΟΟ
C. An ellipse
D. A point
O
E. A parabola
F A hyperbola
Answer:
D. A point
Step-by-step explanation:
Right triangle ABC is shown below. On a coordinate plane, a line goes through (negative 1, 0) and (0, 3). A triangle has a rise of 3 and run of 1. A similar right triangle would be created by a run of 4 and a rise of
Answer:
12
Step-by-step explanation:
Similar triangles on a coordinate plane will have rise and run that are proportional to each other. In other words, the ratio between the rise of a right triangle to the rise of another similar triangle equals the ratio between the run of a right triangle to the run of another similar right triangle.
Thus:
The right triangle given in the coordinate plane has the following:
Run = 1
Rise = 3
The run of a similar right triangle to be created = 4
The rise would be x
To find x, we would have the following proportion:
1/4 = 3/x
Cross multiply
1*x = 3*4
x = 12
Therefore, the similar right triangle created would have a rise of 12
Answer:
12
Step-by-step explanation:
figure a is a scale image of figure b. whats the value of x
Answer:
30
Step-by-step explanation:
We can use a ratio to solve
45 x
------ = ------
27 18
Using cross products
45*18 = 27x
810=27x
Divide each side by 27
810/27 = 27x/27
30 =x
SOMEONE PLEASE HELP ME!!!!! I NEED THIS!
Answer:
QR ≈ 16.3
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{MN}{QR}[/tex] = [tex]\frac{MP}{QT}[/tex] , substitute values
[tex]\frac{40.3}{QR}[/tex] = [tex]\frac{57}{23}[/tex] ( cross- multiply )
57 QR = 926.9 ( divide both sides by 57 )
QR ≈ 16.3 ( to the nearest tenth )
Which statement about the annual percentage rate (APR) is true?
a.If you have good credit, you will get a higher APR.
b.If the APR is 5%, you will pay 5% of the balance per month.
c.The APR is not a good way to compare loans.
d.The APR helps compare loans with the same payback period, but with different monthly rates and different fees.
Answer:
d. The APR helps compare loans with the same payback period, but with different monthly rates and different fees.
Step-by-step explanation:
A loan can be defined as an amount of money that is being borrowed from a lender and it is expected to be paid back at an agreed date with interest.
Generally, the financial institution such as a bank lending out the sum of money usually requires that borrower provides a collateral which would be taken over in the event that the borrower defaults (fails) in the repayment of the loan.
An annual percentage rate (APR) is an amount of money paid as interest by borrowers or earned on loans by lenders such as banks, expressed as a percentage of the amount borrowed or invested over a 12-month period i.e on an annual basis.
Generally, the annual percentage rate (APR) helps compare loans with the same payback period, but with different monthly rates and different fees.
Answer:
A- If you have good credit, you will get a higher APR
Step-by-step explanation:
What is the correct answer to this multiple choice question? Please help!
Answer:
p = 26.3
Step-by-step explanation:
Using the law of sines
sin 101 sin 38
--------- = ------------
42 p
Using cross products
p sin 101 = 42 sin 38
p = 42 sin 38 / sin 101
p=26.34175
To the nearest tenth
p = 26.3
Use the work shown below to find the simplified product
Given:
The expression is:
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
To find:
The simple product.
Solution:
We have,
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
It can be written as:
[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]
Cancel out the common factors.
[tex]=\dfrac{5\times x}{x+3}[/tex]
[tex]=\dfrac{5x}{x+3}[/tex]
Therefore, the correct option is C.
(1 x 10 ^ -3) ÷ (5 x 10 ^ 2) in standard form Plz ANSWER QUICK
Answer:
2 × 10⁻⁶
Step-by-step explanation:
( 1 × 10⁻³ ) ÷ ( 5 × 10² )
→ Rewrite into normal form
0.001 ÷ 500
→ Simplify
2 × 10⁻⁶
Answer:
[tex]\frac{1}{500,000}=2*10^{-6}[/tex]
Step-by-step explanation:
[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]
We have:
[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]
In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]
i need it! urgent! pls someone help!
Option 4 is correct
The relationship is:
y = 3/4 x
How to find the area of this figure pls?
There are 50pupils in a class .Out of this number 1/10 speak French only and 4/5 of the reminder speak both French and English.lf the rest speak English only,find the number of student who speak
a.both French are English
b.only English
Answer:
40 pupils speak French and English
5 pupils speak only English
Step-by-step explanation:
**The grammar has some errors, but I hope I understood it correctly to answer your question correctly!**
Here's what we know about the question:
- 1/10 of the 50 pupils speak only FRENCH
- 4/5 of the 50 pupils speak FRENCH and ENGLISH
- rest of the pupils speak only ENGLISH
Here's what we're trying to find:
- # of pupils that speaks FRENCH and ENGLISH
- # of pupils that speak only ENGLISH
Let's start of with find how many pupils speak French:
1/10 of the 50 pupils speak French. To find the # of pupils, divide 50 by 10:
50/10 = 5
5 pupils speak only French
Now let's find out how many pupils speak French and English:
4/5 of the 50 pupils speak French and English. We are going to divide 50 by 5 and then multiply the result by 4:
50/5 = 10
10 * 4 = 40
40 pupils speak French and English
Finally, let's find the number of pupils that speak only English:
The question only says that the rest of the 50 pupils speak only English.
We are going to add the other pupils who don't speak only English, then subtract that value from 50:
40 + 5 = 45
50 - 45 = 5
5 pupils speak only English
Hope that helps (●'◡'●)
The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 12. Find the mean for the number of seeds germinating in each batch.
Answer:
mean = 8.4
Step-by-step explanation:
Mathematically, we have the mean as np
This is the product of the number of items per batch by the probability that each of the products will germinate
Mathematically, we have this as:
0.7 * 12 = 8.4
Kara Danvers (Supergirl) has always relied on her strength to win fights. But what happens when she meets an alien just as strong? Her sister is training her to be a more technical fighter so that Supergirl can meet any challenge. The data below record the significant strikes during randomly selected training sessions 6 months apart. Is Kara showing improvement in her fighting?
Strikes (pre): 29 32 44 34 19
Strikes (post): 51 45 68 92 64
Write the Hypotheses:
H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
Answer:
H0 : The mean difference in strikes between pre and post strike is equal to 0
H1 : The mean difference in strikes between pre and post strike is not equal to 0
Step-by-step explanation:
The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.
For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.
