Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 The width is 7
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The Length is 10.
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Dimensions of the rectangle are length=10 meter and width= 7 meter
What is Rectangle?A rectangle is a quadrilateral with four right angles.
Given,
The length of a rectangle is 4 meter less than twice its width
Consider,
l is the length of the rectangle
w is the width of the rectangle
l=2w-4
Area of the rectangle = Length × Width
70=l × w
Substitute the value of l is the second equation
70=(2w-4)×w
[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]
Take 2 outside
[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]
w=7,-5
Hence w wont be negative value
Therefore w=7 meter
Then,
l×w=70
[tex]l=\frac{70}{7}\\[/tex]
l=10 meter
Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter
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charles charges $4 an hour to baby-sit. He also adds an extra $10 onto the total for families with more than three children. Write an equation for what Charles charges to baby-sit a family of 4 children.
y = 4x - 10
y = 4x + 10
y = 40x
y = 4x + 10x
Answer:
b
Step-by-step explanation:
The required expression for Charles is y = 4x + 10. Option b is correct.
An expression to be determine that explain charles charge for the families have more than 3 children.
Equation are the coded expression that describes the mathematical familiarities of the word statement.
Here, Charles charge $10 more beside of $4 an hour to baby sit for the families having more than 3 children.
⇒ let 'y' is the total charge applied and 'x' is hours of baby sit.
⇒ y = 4x + 10
Thus, the required expression for Charles is y = 4x + 10.
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joe deposits $1500 in an account that pays 3% annual interest compounded conitiniously how much will joe have in his account after 5 years
Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)
use definition of logarithm
0.15 = ln(A / 1500)
0.15 = ln(A) - ln(1500)
ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387
Step-by-step explanation:
The amount of money Joe would have in his account after 5 years is $1742.75.
Given the following data:
Principal, P = $1500Interest rate, R = 3%Time, T = 5 yearsTo determine the amount of money Joe would have in his account after 5 years.
Mathematically, an interest that is compounded continuously given by the formula:
[tex]A = Pe^{rt}[/tex]
Where:
A is the future valueP is the principal.r is the interest rate.t is the time in years.Substituting the given parameters into the formula, we have;
[tex]A = 1500 \times e^{0.03 \times 5}\\\\A = 8000 \times e^{0.15}\\\\A = 1500 \times 1.1618[/tex]
A = $1742.75
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PLEASE HELP!! ASAP!!
Answer the following question
1. Bejar is now known as the city of San Antonio. The author says, “ As one covers the distance from Béjar to this town, he will note that Mexican influence is proportionately
diminished “What cardinal direction can you assume he has traveled from Bejar to reach “This Town"?
2. why might the influence of the Mexican government and culture diminish the further away one travels from Bejar?
3. Terran discovered that the foreigners outnumber the Mexican by what ratio?
4. Who are the “foreigners” that Teran repeatedly refers to?
5. What does Teran predict could happen in Texas if the Mexican government does not strengthen its control over Texas?
Answer: 1.Twelve months have now elapsed since the first half volume of this work was offered to the public. The favourable reception it has experienced gives the Editor reason to hope that he has fulfilled the engagements which he came under at its first appearance, and is a powerful inducement to continue his utmost exertions to preserve and improve the character of the work. In the four volumes which are now published, several extensive and important original articles are introduced, which have not hitherto appeared in any similar collection, and had not even been previously translated into English. These materially contribute towards the ample information which was formerly announced, in the Preface to the first Volume, as a leading object in this Collection. In the subsequent parts of the work, every effort shall be made to fill up its several divisions with original articles of similar interest and equal importance.
Encouraged by a satisfactory and increasing sale, the progress of publication has been somewhat hastened, beyond what was originally promised in the Prospectus and Conditions; as the whole of the fourth Volume is now published, at the period when only its first half was to have appeared. It is intended to repeat this anticipation occasionally, by the publication of two numbers or half-volumes at once, when opportunity offers. While this may gratify one portion of our readers, it is not meant to preclude others from continuing to be supplied, as before, with the numbers or half volumes at regular intervals, in their own option.
2.As the population in Texas from the United States swelled, Mexican authorities grew increasing nervous. In 1827, the Mexican government sent General Manuel de Mier y Terán to investigate the situation. He warned that unless the Mexican government took timely measures, settlers were certain to rebel. Differences in language and culture, Terán believed, had produced bitter enmity between the colonists and native Mexicans. The colonists refused to learn the Spanish language, maintained their own separate schools, and conducted most of their trade with the United States.
3.While holding out the possibility of compromise, the Texans prepared for war. The provisional government elected Sam Houston, a former Tennessee governor, to lead whatever forces he could muster. Then in early 1836, a band of three hundred to five hundred Texans captured Mexico's military headquarters in San Antonio. The Texas revolution was under way.
4.Don Manuel de Mier y Terán: As It Affected Texas-Mexican Relations (Continued)
5. THEY MARCHED AN ARMY INTO TX TO STOP THE REBELLION. THE MEXICAN GOVERNMENT “DISOWNED” SANTA ANNA AND THE TREATY; IT DID NOT RECOGNIZE TX INDEPENDENCE FORMALLY UNTIL THE END OF THE MEXICAN AMERICAN WAR.
Step-by-step explanation:
1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answer:
d
Step-by-step explanation:
is answer sd
1. Write a story about Sylvia's bike ride home. Include as many details as you
can about distance, time, and speed. (You can refer to the segment #'s in
your story if you find it helpful)
Answer:
sylvia is biking home (segment 1) she is traveling at a constant rate of a mile every 15 minutes, she then takes a 20 minute break relizing she dropped something, she goes back and finds it ten minutes later (3) then she bikes home at a rate of 7 miles per 30 minutes.
Step-by-step explanation:
what is 2 + (-7/20)? I've been trying to figure it out for a while but i cant seem to get the right answer.
What is the value of 3/8 x - 4.5 when x =0.4
can someone find loverboy444? thank you! who ever finds him will get a request!
Answer:
I can try
Step-by-step explanation:
HELP ASAP GIVING BRAINLIEST
Solve for x if the angles are adjacent supplementary angles. Use pencil and paper. Show how to check that your value of x is correct
Answer:
x=15
Step-by-step explanation:
srry if I'm wrong =(
Given the point A(3,4) find the coordinates of three other point to create a parallelogram ABCD that isnt a rectangle or square
Answer:
Iloveyou ayeeeeeeeeei
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Emily's car broke down the weekend before she started a new job. She borrowed $880 from her parents, at an annual interest rate of 3%, to quickly pay for the car repairs. If Emily paid her parents a total of $893.20 in six months, how much simple interest did she pay?
Answer:
$13.2Step-by-step explanation:
Step one:
given data
principal=$880
rate= 3%
final amount = $893.2
time t= 6 months =0.5 years
Step two:
Required
Simple interest
SI=PRT/100
SI=880*3*0.5/100
SI=1320/100
SI=13.2
She paid Simple interest of $13.2
Which equation is modeled below?
-x+ 1 = 2x+ 3
X+(-1) = 2x+3
X+(-1) = 3x+2
-2x = 2x+3
Answer:
Step-by-step explanation:
First one
Answer:
A
Step-by-step explanation:
Use the given information to solve for x.
x+3
2x-9
What is x?
Answer:9
Step-by-step explanation:
Find the square root of -36.
A-6
B 6
C Cannot be done
Answer: C) Cannot be done
Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.
all of the following represents the same expression except ___.
a. -8ab
b. -8(a)(b)
c. 8 - ab
d. -8 • a • b
Answer:
What is the following expresion?
Step-by-step explanation:
Answer:
C. 8 - ab
Step-by-step explanation:
all the other represents -8 multiply by a by b.
Solve the inequality 7x - 11 < 9x + 22.
Answer:
x>-33/2
Step-by-step explanation:
this is because you must solve the equation. when you divide by a negative number in order to get the x alone the sign of the inequality flips.
Answer:
[tex]x > \frac{ - 11 - 22}{2} [/tex]
Step-by-step explanation:
Step 1: Subtract 7x7x from both sides.
−11<9x+22.−7x
Step 2:Simplify 9x+22.-7x9x+22.−7x to 2x+22.2x+22.
−11<2x+22.
Step 3:Subtract 22.22. from both sides.
−11−22.<2x
Step 4:Divide both sides by 22.
[tex] \frac{ - 11 - 22}{2} < x[/tex]
Step 5, Switch sides.
[tex] x > \frac{ - 11 - 22}{2} [/tex]
I hope it helps you.
it took Corinne 3 hours to do 12 pages of homework.How many pages of homework did she do per hour?
Answer:
4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Step-by-step explanation:
12÷3=4
What is the slope of the line 4x – 2y = 10? Explain your process (show your steps) for determining the slope.
Which of the following is not a function?
3-1
3-2
3-7
7-1
7-2
7-7
Answer:
They are all not a function
Step-by-step explanation:
a function can only have one output.
3 in this set has 3 outputs and 7 in this set has 3 outputs aswell
URGENT!!!! HELP PLEASE!!!
Help plzzzzzzzzzzzzzz
Answer:
∠P
Step-by-step explanation:
∠P is between NP and PE
LLEASE HLEP HELP PLEASE HELP
Answer:
V= 301.44
Step-by-step explanation:
the formula for a cone is 1/3 Bxh
B= area of base
h= height
Five out of eight birds that visited the feeder ate the birdseed. If 60 birds ate the birdseed today, how many birds visited the feeder?
Answer:
Therefore, the birds visited the feeder = 96
Step-by-step explanation:
Five out of eight birds that visited the feeder ate the birdseed.
i.e. the ration is: 5/8
Given that 60 birds ate the birdseed today.
Note that if we multiply '5' by '12', we get the number 60.
Now, all we need to is to also multiply '8' by '12' to maintain the initial ratio which is 5/8.
i.e. (5×12) / (8×12) = 60/96
Therefore, the birds visited the feeder = 96
PLEASE HELP. SOON. I really need help i’m struggling a lot lol
Answer: A
Step-by-step explanation: trust me bro
If 3 pens cost $2, then how many can can you buy with $20
Answer:
30
Step-by-step explanation:
A town’s population is 60,375. An average of 125 people move into the town each month. Write an equitation to find m, how many months will population of the town be equal to 64,875?
A. 125m+ 60,375=64,875
B. 64,875m+ 125 =60,375
C. 60,375m+ 125 =64,875
D. 125m+ 65,875 = 60,375
solve for c: c-7 ≥ -3
What is the slope of the line?
pls help I need the answer
Answer:
the slope of a horizontal line is 0
dudee plz help will be given the brainlist if answered correctly
Answer:
hey im not actually here to help you, i just need points. thanks for the points
Step-by-step explanation:
ANSWER WHAT YOU CAN NEED THEM ASAP PLZ
Answer:
5. 23
6. 26
7. 20
8. 45
9. 15
10. 120
11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60
12. It is not possible. if you use the pyagorean theorem (not sure on spelling of that?) you get 16 so its not possible for it to be 12.
