Each day at school, Kai records his homework assignments in a small notebook. Each page of the notebook measures 2 1/4 inches by 3 1/2 inches. Find the area of one page.

QUESTION POSTED AT 15/01/2020 - 03:09 AM

Related questions

It takes Joaquin 1/5 hour to hike 1/4 mile. What is Joaquin's unit rate, in miles per hour?

(1/5) / (1/4) = x/1
cross multiply
1/4x = 1/5
x = 1/5 * 4
x = 4/5....he hikes 4/5 of a mile per hr

ANSWERED AT 29/01/2020 - 05:38 PM


QUESTION POSTED AT 29/01/2020 - 05:38 PM

John wants to buy a new bike that costs $337 and he already has saved $103. Estimate to find about how much more John needs to save to buy the bike

John needs 234 dollars more for the bike.  About 235

336-103=234

ANSWERED AT 29/01/2020 - 05:35 PM


QUESTION POSTED AT 29/01/2020 - 05:35 PM

Find the zeros of the function. f(x)= 3x^3- 12x^2- 15x a. 0, 1, and -5 b. -1 and 5 c. 0, -1, and 5 d. 1 and -5

F(x) = 3x³ - 12x² - 15x

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:
3x = 0
x + 1 = 0
x - 5 = 0

3) Solve:
x = 0, -1, 5

ANSWERED AT 29/01/2020 - 05:31 PM


QUESTION POSTED AT 29/01/2020 - 05:31 PM

A square field has an area of 10 square miles. What is the approximate length, to the nearest thousandth, of one side of this field? A.) 2.5 miles B.) 3 miles C.) 3.162 miles D.) 3.612 miles

Area x² = 10

x = √10 ≈ 3.16227

x ≈ 3.162 mile to the nearest thousandth.    Option C.

ANSWERED AT 29/01/2020 - 05:30 PM


QUESTION POSTED AT 29/01/2020 - 05:30 PM

The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.

Answer:

\text{Length of hypotenuse is }\sqrt{41}units

Step-by-step explanation:

Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.

By Pythagoras theorem,

In right angled triangle the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides

Hypotenuse&^2=Base^2+Height^2\\\\Hypotenuse^2=4^2+5^2\\\\H^2=16+25\\\\H=\sqrt{41}units=6.4units

Hence, \text{length of hypotenuse is }\sqrt{41}units

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º. Scarlett's height is 1.65 meters, so what is the hight of the dam

The height of a dam:
h = x + 1.65 m,
where:
x = 90 m · tan 26°
x = 90 · 0.4877
x = 43.90
h = 43.90 m + 1.65 m = 45.55 m
Answer:
The height of the dam is 45.5 m.

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

A=1/2(B+b)h solve for b

Are you sure the h is after the parentheses or are the after the 1/2

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

Find the slope of the line whose equation is 15 + 3x = 2y.

15+3x=2y
2y=3x+15
y= \frac{3}{2} x+ \frac{15}{2}
Gradient, m=  \frac{3}{2}

ANSWERED AT 29/01/2020 - 05:22 PM


QUESTION POSTED AT 29/01/2020 - 05:22 PM

Jimmy has a diecast metal car that is a scale model of an actual race car. If the actual length of the car is 10 feet 6 inches and the model has a length of 7 inches, what is the scale factor of the model to the actual car?

10 feet 6 inches = 126 inches. Length of the car is 126 inches and the model length is 7 inches. 
126 : 7 = 18 
The scale factor of the model to the actual car is  1 : 18.

ANSWERED AT 29/01/2020 - 05:21 PM


QUESTION POSTED AT 29/01/2020 - 05:21 PM

QT bisects ∠PQR. find ∠PQR if ∠RQT = (10x-13) and ∠PQT = (6x+1) i need to know angle PQR and the value of X.

The answer might be 
<PQR = 6x+1
X=3.5

ANSWERED AT 29/01/2020 - 05:21 PM


QUESTION POSTED AT 29/01/2020 - 05:21 PM

Find S15 for the geometric series 72 + 12 + 2 + 1/3 +

Hello,

u_{1}=72\\&#10;&#10;u_{2}=\dfrac{72}{6}\\&#10;&#10;u_{3}=\dfrac{72}{6^{2}}\\&#10;&#10;u_{15}=\dfrac{72}{6^{14}}\\&#10;&#10;&#10;s=72*(1+\dfrac{1}{6^{1}}+\dfrac{1}{6^{2}}+\dfrac{1}{6^{3}}++...+\dfrac{1}{6^{14}})\\&#10;=72*(\dfrac{\frac{1}{6^{15}}-1}{\frac{1}{6}-1}})\\&#10;=72*(\dfrac{470184984576-1}{78364164095*5})\\&#10;&#10;=86,400...&#10;&#10;&#10;

ANSWERED AT 29/01/2020 - 05:16 PM


QUESTION POSTED AT 29/01/2020 - 05:16 PM

What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 90?

Answer:

360 fuzz $

Step-by-step explanation:

ANSWERED AT 29/01/2020 - 05:15 PM


QUESTION POSTED AT 29/01/2020 - 05:15 PM

9 years equals how many days

9 x 365 = 3285 .........

ANSWERED AT 29/01/2020 - 05:12 PM


QUESTION POSTED AT 29/01/2020 - 05:12 PM

The average turtle swims at 20 km/h and walks at 5 km/h. find the ratio of swimming to walking rates.

Swimming / walking = 20 / 5
20 / 5
4

therefore the ratio is 4 : 1

ANSWERED AT 29/01/2020 - 05:10 PM


QUESTION POSTED AT 29/01/2020 - 05:10 PM

Find x if f(x) = 2x 7 and f(x) = -1.

Hello,

f(x)=2x^7=-1\\&#10;==\ \textgreater \  x= \sqrt7]{ -\frac{1}{2}} \\&#10;==\ \textgreater \ x=-\sqrt7]{-\frac{1}{2}}\\&#10;==\ \textgreater \ x=0,9057236642639066715941728732151...\\.&#10;

ANSWERED AT 29/01/2020 - 05:08 PM


QUESTION POSTED AT 29/01/2020 - 05:08 PM

The combined land area of the countries a and b is 177 ,973 square kilometers. country a is larger by 773 square kilometers. determine the land area of each country.

Let b = x

a = x + 773

x + x + 773 = 177973

2x + 
773 = 177973

2x = 
177973 - 773

2x = 177200

x = 
177200/2

x = 88600

The other is x + 773,  =  8860
0 + 773 = 89373

Each country is 
88600 and 89373 square kilometers.

ANSWERED AT 29/01/2020 - 05:03 PM


QUESTION POSTED AT 29/01/2020 - 05:03 PM

The difference between two numbers is 5. six times the larger number is 8 times the smaller number. write a system of equations describing the given conditions. then solve the system by the substitution method and find the two numbers.

X - y = 5....x = 5 + y
6x = 8y

6(5 + y) = 8y
30 + 6y = 8y
30 = 8y - 6y
30 = 2y
15 = y

x - y = 5
x - 15 = 5
x = 15 + 5
x = 20

ur 2 numbers are : 20 and 15

ANSWERED AT 29/01/2020 - 05:03 PM


QUESTION POSTED AT 29/01/2020 - 05:03 PM

9) Let X-2, x, x+3 be the first 3 terms of a geometric sequence. FInd the value of x.. PLEASE HELP

Hello,

Let's r the ration

We suppose x ≠0

x=r*(x-2)==>r=x/(x-2)

x+3=r*x==> (x+3)/x=x/(x-2)==>(x+3)(x-2)=x²
==>x²+3x-2x-6=x² ==>x-6=0==>x=6

x-2=6-4=4
x=6
x+3=6+3=9
6=4*3/2
9=6*3/2

Ration 3/2
First term: 4

ANSWERED AT 29/01/2020 - 05:02 PM


QUESTION POSTED AT 29/01/2020 - 05:02 PM

What percent of 150 is 96? .64% 6.4% 156% 64% find 225% of 3.6. 810 8.1 81 .81 135% of t is 63. t = 46.67 t = 85.05 t = 850.5 t = 4.67 3.5% of m is .105. m = .0368 m = 36.75 m = 3 m = 30

A) (150x96)/100= 64%
b) (3.6x225)/100=8.1
c)(63/135)x100= 46.67
d)(0.105/3.5)x100=3

ANSWERED AT 29/01/2020 - 04:57 PM


QUESTION POSTED AT 29/01/2020 - 04:57 PM

The product of 3/8 and 1/2

 \frac{3}{8} * \frac{1}{2}
= \frac{3}{16}

ANSWERED AT 29/01/2020 - 04:53 PM


QUESTION POSTED AT 29/01/2020 - 04:53 PM

Heather is training for a long-distance run. her data points listed below represent the days of practice, x, and the number of miles run, y.(1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11)use the equation to interpolate the value and estimate the distance that she could have run on day 3. round to the nearest tenth of a mile.

Interpolation equation
Poit 1: (a,b)
Point 2: (c,d)
Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)
(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2)  =  (y - 4.2) / (3 -2)

y =  [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

 




ANSWERED AT 29/01/2020 - 04:51 PM


QUESTION POSTED AT 29/01/2020 - 04:51 PM