Step-by-step explanation:
Remember the Difference of Squares:
a² - b² = (a + b)(a - b)
Therefore (√20 - √3)(√20 + √3)
= (√20)² - (√3)² = 20 - 3 = 17. (C)
Help
Please due now!!!!
Answer:
3920
Step-by-step explanation:
(9+11)(14•14)
(20)(196)
20 x 196
3920
Answer:
3920
Step-by-step explanation:
According to the question ,
x = 14 ; y = 9 ; z = 2
So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]
[tex] = > (9 + 11)( {14}^{2} )[/tex]
[tex] = > 20 \times 196 = 3920[/tex]
Leland swam from the dock east 26 meters. He turned and swam another 10 meters, as shown in the diagram below. 26 m Dock 10 m What is the value of x, the distance Leland swam to return to the dock?
Answer:
x=12
Step-by-step explanation:
Answer:
24m
Step-by-step explanation:
you can use khan academy to help you out on this kind of stuff
Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 Part B: Complete the statement: For every student receiving a D, ______ students received a B. * Part C: What is the ratio of the number of students receiving a C and the number of students receiving an D? 1:4 6:1 4:1 3:1
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1
Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°
Answer:
A and C
Step-by-step explanation:
A) 160 + 20 = 180
B) 120 + 40 = 160
C) 45 + 135 = 180
D) 30 + 120 = 150
All supplementary angles must add up to 180 degrees.
9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.
Answer: the x should be next to the 107 instead of the 89
Step-by-step explanation:
When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80
The temperature dropped 6°C every hour for 6 hours. What was the total number of degrees the
temperature changed in the 6 hours?
The total change in the temperature was
loc.
good night all ✨
[tex] {\boxed{\tt 1.}} \: \: \tt 24 + 5 \times 14 \div 2 = [/tex]
[tex]{\boxed{2.}} \: \: \: \tt 200 \div 4 \times 6 = [/tex]
must accompany "step by step"! :)
Answer:
1. 24+5*14/2=
step 1. 24+5=29
step 2: 14/2=7
step 3: 29*7=59!
2. 200/4*6=
step 1: 4*6= 24
step 2: 25/200= 300!
Step-by-step explanation:
hope this helps did step by step explanation! brainliest?
1. 24+(5×14)÷2
=24+70÷2
=24+35
=59
2. 200÷4×6
=50×6
=300
which list has the angles of ABC in order from smallest to largest ?
Answer:
Answer choice A (<A,<B,<C)
Step-by-step explanation:
I have attached a rough drawing of this type of triangle (not to scale)
The longest side of the triangle is always the side opposite of the largest angle. Since side AB is the longest, we know that angle C is the largest angle.
This is also true for the smaller angle. The smallest angle is always opposite the shortest side. The shortest side is side BC. The angle opposite this side is angle A, meaning angle A is the smallest.
Hope this helps :-)
3x^3-21x^2-54x multiplicity
Answer:
3x (x+2) (x−9)
(factored)
hope this helps :D
Write and solve a system of linear equations that represent the situation. There are a total of 64 students in two clubs: xylophone and yo-yo. The xylophone club has 10 more members than the yo-yo club. How many members are in the xylophone club? How many members are in the yo-yo club?
Answer:
x + y = 64
x = 10 + y
Yo-yo = 27
Xylophone = 37
Step-by-step explanation:
Let :
Xylophone club = x
Yo - Yo club = y
Total members = 64
Xylophone club has 10 more members than yoyo
Hence,
x + y = 64 - - (1)
x = 10 + y - - (2)
Put x = 10 + y in (1)
10 + y + y = 64
10 + 2y = 64
2y = 64 - 10
2y = 54
y = 54 / 2
y = 27
From (1)
x + 27 = 64
x = 64 - 27
x = 37
For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?
Answer:
The average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Step-by-step explanation:
at x₁ = 7, f(x₁) = 8
at x₂ = 60, f(x₂) = 27
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [27 - 8] / [60-7]
= 19 / 53
= 0.36
Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7
A. 2/5
B. 5/2
C. 5/5
D. 4/4
What must be included in an algebraic
expression?
A an equals sign
B at least one variable
C one or more numbers
D more than one operation
Answer:
B. you need atleast one variable for an algebraic expression.
an equals sign would make it an algebraic equation,
just a coefficient and a variable is the most basic algebraic expression. you don't need anything other than those for an expression. you can have more than one number, and more than one operation, but they don't have to be there.
Step-by-step explanation:
i hope this helps :))
Write an equation of a line that has a slope of 7/2 and passes through the point (14,-3). Convert it to slope-intercept form.
Answer:
y = ⁷/₂x - 52Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = ⁷/₂
(14, -3) ⇒ x₀ = 14, y₀ = -3
So, the point-slope form of the equation:
y + 3 = ⁷/₂(x - 14)
So::
y + 3 = ⁷/₂x - 49 {subtract 3 from both sides}
y = ⁷/₂x - 52 ← the slope-intercept form of the equation
Can someone help with this?
Answer:
Its the second one
Step-by-step explanation
the reason why is because
<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.
draw a number line with the solution to :1/4 - 1/2
hurry please i’m taking a test!!!
Step-by-step explanation:
Since triangles ABC and DEF are congruent,
Angle D = Angle A.
=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.
Also side EF = side BC.
=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.
Answer: Y = 35, X = 27.8
Step-by-step explanation:
First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.
write an equation of the line that passes through the given point with the given slope. (-1,4) m=-3
Answer:
y - 4 = -3(x + 1)
Step-by-step explanation:
Let's use the point-slope formula y - k = m(x - h):
y - 4 = -3(x + 1)
In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures
A 51°
B 68°
C 90°
D 39°
Answer:
68 degrees
Step-by-step explanation:
To get the interior angle, we use an important triangle principle
The principle is that the sum of the opposite interior angles equal the exterior angle
Let the second interior angle be x
x + 51 = 119
x = 119-51
x = 68
Lake Michigan is one of five great lakes in north america.In summertime, lake Michigan recedes about 1/4 foot per hour. Lake Michigan is about 279 ft. In depth.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, a possible question is "calculate the depth of the lake after certain number of hours (say 2 hours)"
Given
[tex]Rate = \frac{1}{4}ft/hr[/tex]
[tex]Depth = 279ft[/tex]
First, we calculate the depth receded.
If the rate is 1/4ft per hour
Then
The Depth receded in 2 hours is:
[tex]Receded = \frac{1}{4} * 2[/tex]
[tex]Receded = \frac{2}{4}[/tex]
[tex]Receded = 0.5ft[/tex]
The new depth is then calculated as:
[tex]New\ Depth = 279ft - 0.5ft[/tex]
[tex]New\ Depth = 278.5ft[/tex]
find each unit price to decide which is the best buy
Answer:
do you have more info so I can help
Can someone please help? I need to get this doe so I can do something important
Answer:
9. 4/1 or 4. 10. 0
Step-by-step explanation:
9.
Slope- y2-y1/x2-x1
11-7/4-3= 4/1 or 4
10.
Slope-y2-y1/x2-x1
7-7/5-0= 0/5
When 0 is the numerator of the slope, then the slope is 0.
I really help with this ill mark u brainliest pls
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
please help, urgent. picture shown.
Answer: 80
Step-by-step explanation:
First, find the area of the square by doing 12 x 12. (Which = 144)
Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.
This should get you 63.62, or 64 when rounded up.
You then subtract 64 from 144 and get 80 for your answer.
the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot
Answer:
24 cm
Step-by-step explanation:
it says that the mail slot is 24 cm in width
Answer:
Step-by-step explanation:
14cm
What effect does inflation have on the prices of goods and services?
A. Prices decrease
B. Prices double
C. Prices increase
D. Prices stay the same
Answer:
C, price increases
Step-by-step explanation:
this is correct I promise you.
Answer:
C
Step-by-step explanation:
Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.
25t=12.5
find the value of t
Answer:
t = 0.5
Step-by-step explanation:
Divide both sides by 25.
t = 12.5/25
t = 0.5
With a knowledge of strings and numbers, you can announce equations to the user. Create a file that includes four different equations created with JavaScript. Each equation should be displayed to the user through JavaScript (an alert, HTML output, etc). The left side of the equation and the equal sign should be in a string, and the answer should be the actual calculation. Do not type in the answer as part of the string.
Hint: When you concatenate these two data types, place the calculation inside parentheses. Concatenating a string and a number will coerce your number into becoming a string, so you’ll want the calculation to be executed before that happens.
When you are finished, make sure your files are up and working on your Neocities account. Submit your URL to your teacher to complete the assignment. Be sure your site functions live on Neocities and contains all of the assignment's requirements. Your assignment will be graded based on the rubric below.
Answer:
//
Step-by-step explanation:
Can somebody please solve this problem. I need help
Answer:
X=4
Step-by-step explanation:
4(x+12) = 19x-12
4x+48= 19x-12
sub 4x from both sides
48= 15x-12
add 12 to both sides
60=15x
divide 15 from both sides
and 60/15 =4
Answer:
[tex]4(x + 12) = 19x - 12 \\ 4x + 48 = 19x - 12 \\ 4x - 19x = - 12 - 48 \\ - 15x = - 60 \\ x = \frac{60}{15} \\ x = 4[/tex]