Answer:
x=8
Step-by-step explanation:
25=4x-7
+7 +7
32=4x
32/4 4x/4
8=x
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle. W= L=
Step-by-step explanation:
Let breadth =x
Length=5x-3
As we know that in a rectangle
[tex]\boxed{\sf Area=lb}[/tex]
Substitute the values[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]
[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]
[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]
[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]
Ignore negative value[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]
[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]
A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not.
Answer:
The student is incorrect because I I or absolute value would make the -9 to positive 9.
Step-by-step explanation:
-9<4
on a numberline
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
but the absolute value of -9 (or) |–9|
is actually positive 9
9>4
on a number line
4 5 6 7 8 9
85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given parameters
Percentage of all teachers the works in summer = 85%
Number of teachers sampled = 6 teachers
Unknown:
The probability that they all work in summer = ?
Solution:
Now, to solve this problem, let us find the number of teachers that works in summer from the given size;
Number of teachers = 85% x 6 = 5.1;
Since it is not possible to have 5.1 people, the number of teachers will be 5
The probability = [tex]\frac{5}{6}[/tex]
PLEASE HELP ITS DUE TODAY!!
Answer: 3xy2 and 8xy2
-3x2 and 1/2x2
X2y and 5x2y
HELP ME PLEASEEEEEEEE
34 − 23⋅ (5 − 2) − 60
Answer:
-95
Step-by-step explanation:
Follow order of operations,
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Make sure to do them left to right
PLEASEEEE HELP ME!!!!!
Answer:
look it up on tiger algerbra
Step-by-step explanation:
Answer:
3 TIMES 2 DONT EQUAL 7
Step-by-step explanation:
Order these numbers from lowest to highest
-24.35 , 11.20 , -7.96
Answer:
-24.35, -7.96, 11.20
Step-by-step explanation:
Negative numbers are worth way less than positive numbers. In order to solve, the biggest looking negative number is worth less.
Positive is bigger
Negative is smaller
*EXTRA*
negative plus negative = positive
negative plus positive = negative
negative times negative = positive
negative times positive = negative
Hopefully you will understand!
+ + = . . Please im on a time limit
Answer:
what do you mean lol im slow haha
Answer:
In order to solve we need to know what the equation is.
Step-by-step explanation:
PLEASE HELP ASAP
How do you find the total for a purchase if there is sales tax?
Answer:
Conver the sales tax to a decimal and ad it to 1, then multiple that total to the price of the item. Please mark as breinlest
Answer:
just multiply the tax percent to the cost of the product and move the decimal, or you can use a percent calculator
What is the slope of the graph of
4x + 3y = 15?
Answer:
-4/3
Step-by-step explanation:
y=mx+b
3y=-4x+15
y= -4/3 x +5
m is slope b is y intercept
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
BRANDI WANTS TO CALCULATE THE AVERAGE SPEED
OF A CAR THAT TRAVELED 275 MILES IN THREE
HOURS. WHICH FORMULA BELOW IS CORRECT?
A. S = 3 x 275
B. S = 3/275
C. S = 275/3
D. S = 3-275
MISTER SCIENCE
Answer:
C. S = 275/3
Step-by-step explanation:
The formula for speed is S = d/t
The d is = 275
The t is = 3
So S = 275/3
Hope this helps ya!!
multiple of 3 and 5 less than 47 but greater than 42....
Answer:
45
Step-by-step explanation:
45 > 42 but < 47 and it's a multiple of 3 and 5
What is the circumference, in feet, of the circle. Round to the nearest tenth
Answer: 4.7 ft
Step-by-step explanation:
Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.
C=3.14(d)
1.) Insert the numbers into the formula: C= 3.14*1.5
You’ll get 4.71 as your answer.
Next round to the nearest tenth and you’ll get 4.7.
Hope this helps!
question what is −8y2 + 8y2
Answer:
0..................
Answer:
0
Step-by-step explanation:
162 divided by 4.1 estimate
Answer:
40
Step-by-step explanation:
162/4.1= 39.51 round to 40
The solution of the equation after dividing would be 40.
Used the concept of the divide that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
162 divided by 4.1
Now divide the numbers,
162 divided by 4.1
It can be written as,
162 ÷ 4.1
162 / 4.1
1620/41
This gives,
39.512
Rounded to whole numbers,
40
Therefore, the solution is 40.
To learn more about the divide visit:
brainly.com/question/28119824
#SPJ6
Joan is buying a new car for a total of $23,150. If she makes equal payments for 48
months, about how much is Joan's monthly payment?
Answer:
About $482
Step-by-step explanation:
23150÷48=482.29
Round 482.29 to 482 if u want
Find the arc length of a 80° slice of a large 15 in. radius pizza.
Answer:
20.93 inStep-by-step explanation:
Arc length formula:
s = 2 π r (θ/360°)Substitute values:
s = 2*3.14*15(80/360) = 20.93 inplease help me i’m so confused
I need help again please
Answer:
I think it's the third one.
Answer:
C
Step-by-step explanation:
in 2017, the price of a Forever stamp from the United States Postal Service was $0.49. How many Forever stamps could be purchased for $30.38?
I need help with this please.
Answer:
CCCC.
Step-by-step explanation:
An astronaut who weighs 95 kilograms on Earth weighs 15.8 kilograms on the Moon. How much would a person weigh on the Moon if they weigh 105 kilograms on Earth? Round your answer to the nearest tenth, or one decimal place.
please help me
Best Answer gets BRAINLIEST!!!
Answer:
3.5/1
Step-by-step explanation:
y/x
3.5/1
The area
The area of a triangle ABC is 64 cm². Given AB = 11 cm and BC = 15 cm, Find ABC. Trying to find angle B.
Answer:
∠B ≈ 50.9°
Step-by-step explanation:
The area formula for a triangle can be used to find the missing angle.
Area formulaWe don't want confusion between A for area and angle A, so we define Q as the area of the triangle with sides a, c, and included angle B. In this scenario, 'a' represents side BC (opposite angle A), and 'c' represents side AB (opposite angle C).
Q = (1/2)ac·sin(B)
Unknown angleSolving for B, we have ...
2Q/(ac) = sin(B)
B = arcsin(2Q/(ac)
B = arcsin(2(64)/(11(15)) = arcsin(128/165)
∠B ≈ 50.9°
Which is larger 14/25 or 0.54
Answer:
14/25
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
list the fractions in descending order of 2/5 8/9 4/5 1/3 3/10
Answer:
8/9, 4/5, 2/5, 1/3, 3/10
Step-by-step explanation:
2/5 = 0.4 8/9 = 0.888 4/5 = 0.8 1/3 = 0.333 3/10 = 0.3
Please help me please!!
(Picture above)
Answer:
1) D
2) C
3) B
4) A
Step-by-step explanation:
type them into desmos online calculator to see the lines