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.
(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]
Travis makes and sells fishing lures. He
has 56 fishing lures that he is putting into
boxes. Each box can hold 5 fishing lures.
How many boxes can Travis fill
completely?
i need it! urgent! pls someone help!
Option 4 is correct
The relationship is:
y = 3/4 x
What is the area of the figure below?
Answer:
25
Step-by-step explanation:
James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?
Last year He was 7 years old.
His father is 4 times the age 7 x 4 = 28
Last year his dad was 28, so this year he is 29.
Combined age this year = 29 + 8 = 37
51 - 37 = 14 years
14/ 2 people = 7 years
8 + 7 = 15
29 + 7 = 36
15 + 36 = 51
It will take 7 years.
Help plz ...............
Answer:
<RQP
Step-by-step explanation:
The vertex must either be the name of the angle or in the middle of the letters
<PQR or <RQP
We can also just call it <Q since there is only one angle
Solve the inequality 4 is greater than n over -4
Answer:
4 > [tex]-\frac{n}{4}[/tex]
-16 > n
Step-by-step explanation:
Greater than would mean that the "arrow" is not facing the number. It would mean it is larger than the other number. Also, you have to construct the other part of the inequality which would be [tex]-\frac{n}{4}[/tex].
4×4 > [tex]-\frac{n}{4}[/tex]×4
16 > -n
-16 > n
Help me plz!!!.......
Answer:
[tex]AB^{2} =AD^{2} +BD^{2}[/tex]
[tex]AB^{2} =(7.5)^{2} +(4.9)^{2}[/tex]
[tex]AB=\sqrt{80.26}[/tex]
[tex]=8.96[/tex]
ΔABC tan C=AB/BC
⇒ tan 55.8= 8.96/BC ⇒BC= 8.96/tan 55.8
BC=x= 6.09
--------------------------
Hope it helps...
Have a great day!!
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
9 Josie parents opened a college
savings account that pays yearly
simple interest of 5.5%. They opened
the account with $500 and adds $50
each month to her account. How
much money is in her account at the
end of 4 years?
Record your answer and fill in the
bubbles on your answer document.
Be sure to use the correct place
value.
Answer:
$1,281.00
Step-by-step explanation:
We start by calculating the value $50 added each month after the first month
= $50 × 11
= $550
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
P = Principal = 500 + 550
= $1050
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Solving our equation:
A = 1050(1 + (0.055 × 4)) = 1281
A = $1,281.00
Therefore, there would be $1,281.00 after 4 years.
How to find the area of this figure pls?
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:
Calculate the mean of the data set {62, 75, 85, 63,69, 72, 76, 84, 87,88} round to the nearest tenth ?
Answer:
62+75+85+63+69+72+76+84+87+88 = 761
total scores is 10 then divde 761 by the total number of scores which is 10
761÷10 = 76.1
Please hurry I will mark you brainliest
Grandpa khan’s age is 8 years is more than five times his grandson's age. The sum of their ages is 88 years. How old are they? Write an equation and “let statements”
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
see this attachment
Step-by-step explanation:
age of grandpa=72
age of grandson =16
If m = 80° and m = 40°, then m 2 =
A)20
B)40
C)60
Answer:
I think its 40 I could be wrong
Step-by-step explanation:
I had subtract 80 and 40
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.
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
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 )
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
Can you answer this math homework? Please!
Step-by-step explanation:
The second option is the answer.
HELP!!!!!
If anyone knows the answer please tell me as soon as possible PLEASE!!!!
Answer:
Trapezium (An acute trapezium to be exact)
Step-by-step explanation:
Draw all four co-ordinates on a cartesian plane. We know these co-coordinates are the vertices (corners), so draw a line connecting all four points and observe what shape you have.
Your reasoning for why it is a trapezium can include the following points.
Trapeziums are a flat, closed shape, having 4 straight sides, with one pair of parallel sides.
We can say its an acute trapezium since the bottom two angles are unequal and both measure less than 90 degrees
What is the slope of a line that runs through the points (-4, 2) and (-7,9)
Answer:
... i dont know what that means... i would comment this but i dont know how to.... so yeah
Step-by-step explanation:
HELP!!!!!
If anyone knows the answer please tell me as soon as possible!!
PLEASE!!!!
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.
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 (●'◡'●)
eric has a summer lawn mowing buisness. based on experience eric knows that p= -3x^2 + 150x -1200 models his profit, p, in dollars, where x is the amount he charges per lawn. how much does he need to charge if he wants to break even? show your work
Answer:
Eric can either charge $10 or $40 in order to break even.
Step-by-step explanation:
Eric has a summer lawn mowing business and the equation:
[tex]p=-3x^2+150x-1200[/tex]
Models his total profit p by charging x dollars per lawn.
We want to determine what price Eric needs to charge in order to break even.
The price Eric charges to break even means that his total profit will be zero. Hence, we can let p = 0 and solve for x. Thu:
[tex]0=-3x^2+150x-1200[/tex]
We can divide both sides by -3:
[tex]0=x^2-50x+400[/tex]
Factor:
[tex]0=(x-10)(x-40)[/tex]
Zero Product Property:
[tex]x-10=0\text{ or } x-40=0[/tex]
Solve for each case. Hence:
[tex]x=10\text{ or } x=40[/tex]
Therefore, Eric can either charge $10 or $40 in order to break even.
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
The measure of two supplementary angles are A=(4a+7)° and B=(a-2)° find the measure of the two angles
Answer:
147˚, 33˚
Step-by-step explanation:
supplementary angles means those angles add up to 180˚
so A+B = 180
substitute A and B with the values given.
(4a+7) + (a-2) = 180
combine like terms
5a + 5 = 180
5a = 175
a = 35
Now that we have a, substitute in the actual value of a into the expressions for each angle.
for <A: 4(35) + 7 = 147˚
for <B: 35 - 2 = 33˚
Answer:
<A =147
<B = 33
Step-by-step explanation:
Supplementary angles add to 180
4a+7 + a-2 = 180
5a+5 = 180
5a+5-5 = 180-5
5a = 175
Divide by 5
5a/5 = 175/5
a = 35
<A = 4a+7 = 4*35 +7 = 140+7=147
<B = a-2 = 35-2 = 33
which of the following integers cannot be written as the sum of four consecutive odd integers. (A) 16 (B) 40 (C) 72 (D) 100 (E) 200
Answer:
(D) 100
Step-by-step explanation:
(A) 16 = 1+3+5+7
(B) 40 =7+9+11+13
(C) 72=15+17+19+21
(D) 100
(E) 200=47+49+51+53
