Answer:
vertex=(4,1)
aos:x=4
A wall is 22 feet tall. A ladder is leaned against that wall. The top of the ladder touches the top of the wall and the bottom of the ladder rests on the ground 8 feet from the base of wall. What is the length of the ladder?
Answer:
23.41 feet
Step-by-step explanation:
The ladder forms a right angle triangle with the wall
Height of the wall (opposite) = 22 feet
Bottom of the ladder from the wall (adjacent) = 8 feet
What is the length of the ladder?
Length of the ladder (hypotenuse)
Using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
= 22² + 8²
= 484 + 64
= 548
Hypotenuse ² = 548
Hypotenuse = √548
= 23.41 feet
The length of the ladder is 23.41 feet
Two students are both working on the same problem: A box of laundry soap has 25%
more soap in its new box. The new box holds 2 kg. How much soap did the old box
hold?
Answer:
0.5kg
Step-by-step explanation:
25% of 2kg is 0.25
Answer:
0.25% ounces
Step By Step Explaination:
how many groups of 61 are in 10736
Which linear equation has a slope of 3 and a y-intercept of -2? Oy = 3x + 2 Oy = 3x - 2 Oy=-2x + 3 Oy=-2x-3
Answer:
B. y=3x-2
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
m=3
b=-2
y=3x-2
Hope this helps!
Please mark as brainliest if correct!
162 is what percent of 200?
Answer:
81%
Step-by-step explanation:
divide 162 by 200
Write seventy thousand three hundred twenty and sixteen thousandths in standard form
Answer:
27,328.016
Step-by-step explanation:
Please help!! I will mark you brainlist!
Answer:
Step-by-step explanation:
The answer is D because all you need to do is multiply everything by 0.5, or one half.
An electrician charges $51 for 3 hours of work. How much would the electrician charge for 2 hours of work?
(for your answer just put the number without the dollar sign)
Answer:
34
Step-by-step explanation:
Givens:
-$51 for 3 hours of work
-2 hours?
Find unit rate:
51 divided by 3
17 per hour
17 times 2 (for 2 hours)
34
I just need help with the option that is blank
Annie's soccer team is conducting a passing drill in which each of the 11 members of the soccer team must pass the ball to each of the other members exactly three times. How many times must the ball be passed before the passing drill is over?
Answer:
33
Step-by-step explanation:
if each of the 11 must pass it 3 times, you multiply. 11×3 is equal to 33.
oh shoot I cant figure out how to delete comments but someone told me this is wrong ;(
Answer: 330
Step-by-step explanation: 11 x 10 = 110. 3 x 110 = 330
In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.
How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?
Step-by-step explanation:
the answer is 12.5 sorry if i am wrong
PLEASE HELP ASAP I HAVE A TEST IN 2 MINUTES!!!!!!
The graph below models the value of a $20,000 car t years after it was purchased.
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
A. Each car value, y, is associated with exactly one time, t.
B. Each time, t, is associated with exactly one car value, y.
C. The rate at which the car decreases in value is not constant.
D. There is no time, t, at which the value of the car is 0.
B. Each time, t, is associated with exactly one car value, y.
Answer:
B
Step-by-step explanation:
I got it right on the test
Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
(-4.-8) and (-8, -9)
Answer:
The equation in the slope-intercept form will be:
y = 1/4x - 7
Step-by-step explanation:
Given the points
(-4.-8) (-8, -9)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)[/tex]
[tex]m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}[/tex]
[tex]m=\frac{1}{4}[/tex]
We know that the slope-intercept of line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'
y = mx+b
-8 = 1/4(-4)+b
-8 = -1 + b
b = -8+1
b = -7
so the y-intercept = b = -7
substituting m = 1/4 and b = -7 in the slope-intercept form of line equation
y = mx+b
y = 1/4x + (-7)
y = 1/4x - 7
Thus, the the equation in slope-intercept form will be:
y = 1/4x - 7
A circle with a 12 in diameter is folded in half and then folded in half again. What is the area of the resulting shape in terms of pi?
Which ratio is equivalent to the ratio 20 to 35? 5 to 7 7 to 5 8 to 14 14 to 8
Answer: it’s 8 to 14 number c
Step-by-step explanation:
Let me know if I’m wrong
The ratio equivalent to 20 to 35 is 8 to 14.
Option C is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
20 to 35
This can be written as,
= 20/35
= 5 x 4 / 5 x 7
= 4/7
Now,
5 to 7 = 5/7
7 to 5 = 7/5
8 to 14 = 8/14 = 4/7
14 to 8 = 14/8 = 7/4
Thus,
20 to 35 is the same as 8 to 14.
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A sweater was marked down from $40 to
$30. This was a difference of what
percent? Round to the nearest whole
percent.
Answer:
This is a 75% off sale.
Step-by-step explanation:
Hope this helps you :)
Answer:
25 % off
Step-by-step explanation:
30 is 75% of 40 so 25 down
Find the minimum value of the function. [Hint: Let t = x³.] f(x) = 1 + 12x³ + 3x⁶
===========================================
Work Shown:
t = x³
f(x) = 1 + 12x³ + 3x⁶
f(x) = 1 + 12x³ + 3(x³)²
f(t) = 1 + 12t + 3t²
f(t) = 3t² + 12t + 1
f(t) = 3(t² + 4t) + 1
f(t) = 3(t² + 4t + 4 - 4) + 1 .... see note below
f(t) = 3( (t²+4t+4) - 4) + 1
f(t) = 3( (t+2)² - 4) + 1
f(t) = 3(t+2)² - 3*4 + 1
f(t) = 3(t+2)² - 12 + 1
f(t) = 3(t+2)² - 11
The smallest that t² can get is 0. By extension, the smallest (t+2)² can get is also 0, and same goes for 3(t+2)².
So effectively we replace the 3(t+2)² portion with 0 and end up with 3(t+2)²-11 = 0-11 = -11 as the minimum value of f(x)
This is the smallest output possible. Confirmation of such is shown in the graph below.
------------
Note: Recall that (A+B)² = A²+2AB+B². If we use this rule on (t+2)², then we get t²+4t+4. Earlier we simply had t²+4t without the extra +4 at the end. So I added 4 and subtracted 4 to balance things out. This completed the square.
You want to tile a 10 foot square floor with tiles that are twice as long as they are wide. determine how many tiles you need to cover the floor when the tile length is 2 feet
To cover a floor with an area of 10 square foot, 5 tiles is needed.
Area is the amount of space enclosed by a two-dimensional figure.
If the tile is 2 feet long and twice as long as they are wide, suppose that the tile is a rectangle, then the area of each tile will be:
Area of tile = l x w
where l = 2 feet
w = 1 foot
Area of tile = 2feet(1 foot)
Area of tile = 2 ft^2
To determine how many tiles are needed to cover a 10 foot square floor, divide the area of the floor with the area of each tile.
# of tiles = Area of floor/Area of each tile
# of tiles = 10 ft^2/2ft^2
# of tiles = 5
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please help me i need help asap
Answer:
-6
Step-by-step explanation:
Add the positive numbers first which is nine then add a negative like -8 and you get then add -7 which is -6
two integers whose absolute value is 12
Answer:
-12 and 12
Step-by-step explanation:
Write the algebraic expression (ex. 2x - 5) for this problem: Eight less than a number
Answer:
x - 8
Step-by-step explanation:
Answer:
Here you can simply use a single operator:
x - 8
is this true or false bc i’m not sure pleas help
Answer: False.
Step-by-step explanation: The table does not follow a pattern or a relation.
Consider the similar triangle below.
ABC is the per-image and PQR is the image.
Answer:
Scale factor: 2
PR = 14
Perimeter = 34
Step-by-step explanation:
Similar Triangles
Similar triangles are those who have their corresponding side lengths proportional, i.e. the ratio of the corresponding sides is equal.
The figure shows similar triangles ABC and PQR. We can also see corresponding sides BC and QR have lengths 6 and 12 respectively.
The scale factor is [tex]\frac{12}{6}=2.[/tex]
The rest of the sides can be calculated by using the per-image triangle ABC side lengths and the new-found scale factor. Thus:
PR = AC*2 = 7*2 = 14
PR = 14
PQ = AB*2 = 4*2 = 8
The perimeter of the triangle PRQ is the sum of its side lengths:
P = 12 + 14 + 8 = 34
Answers:
Scale factor: 2
PR = 14
Perimeter = 34
Write 142% as a mixed number in simplest form.
Answer:
71/50
Step-by-step explanation:
142 100
Both numbers are even. Divide by two.
71 50
Can't be simplified any further
Make it a mixed number.
1 21/50
The number 142 % in mixed number form is 1 21/50
What are Mixed Numbers?
A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Given data ,
The number given is = 142 %
On simplifying , we get
142 % = 100 % + 42%
We know that 100 % = 1
So ,
42 % = 42 / 100
Divide by 2 on both numerator and denominator , we get
21 / 50
So , the number 142 % is written as 1 21/50
Or ,
Simplifying 142 / 100 , we get
142 / 100 = 71 / 50
Converting 71 / 50 into mixed number , we get 21 as the remainder ,
Therefore , the mixed number form of 71 / 50 is 1 21/50
Hence , the mixed number form is 1 21/50
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It costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expression 100 + 4n. What is the cost for 15 people? Use the dollar sign. *units are very important!
Answer:
$160
Step-by-step explanation:
Step one:
It costs $100 to rent the bowling alley
plus $4 per person
the expression for the cost is
[tex]C=100 + 4n[/tex]
where n is the number of people
for n= 15
Step two:
let us substitute
[tex]C= 100+4(15)\\\\C= 100+60\\\\C= 160[/tex]
What is the common difference or ratio?
A. The common difference is 0.38.
B.
The common difference is 0.76.
C. The common ratio is 0.99.
D. The common ratio is 1.02.
Answer:
The correct answer is A. The common difference is 0.38
Step-by-step explanation:
Hope i helped! Have a great day <3
please help! There is only a,b, and c. There is no option “d”. Please help it’s late!
c i think lmk if I got this
Solve the problem
( Show your work )
2x + 10 =- 4x – 9
Answer:
x = -19/6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2x + 10 = -4x - 9
Step 2: Solve for x
Add 4x on both sides: 6x + 10 = -9Subtract 10 on both sides: 6x = -19Divide 6 on both sides: x = -19/6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(-19/6) + 10 = -4(-19/6) - 9Multiply: -19/3 + 10 = 38/3 - 9Add/Subtract: 11/3 = 11/3Here we see that 11/3 does indeed equal 11/3.
∴ x = -19/6 is the solution to the equation.
I’ll make it brainliest plss answer this one plssssss
Answer:
The answer is C.
Step-by-step explanation:
In order to find the x-intercept and y-intercept, you have to substitute 0 into each expression :
[tex]let \: x = 0[/tex]
[tex]0 - 3y = 6[/tex]
[tex] - 3y = 6[/tex]
[tex]y = 6 \div ( - 3)[/tex]
[tex]y = - 2[/tex]
[tex]let \: y = 0[/tex]
[tex]2x - 0 = 6[/tex]
[tex]2x = 6[/tex]
[tex]x = 6 \div 2[/tex]
[tex]x = 3[/tex]
Given that the x-intercept is 3 and y-intercept is -2. By looking at the picture, graph C fits the coordinates, (3,0) and (0,-2).
Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what average speed does Aidan drive home?
Distance (mi)
Rate (mph)
Time (hr)
Trip to School
16
40
Trip Home
16
x
17 mph
27 mph
32 mph
56 mph
Aidan's average speed on his drive home is 26 2/3 miles per hour
What is Aidan's average speed?
Average speed is the total distance travelled per time. It indicates how fast an object is moving.
Average speed = total distance / total time
The first step is to determine the time it would take Aidan to drive to school :
Time = distance / speed
16 / 40 = 2/5 hours = 2/5 x 60 = 24 minutes
The second step is to determine the time it would take Aidan to drive from school
Time it would take to drive home from school = 60 minutes - 24 minutes = 36 minutes = 36/60 = 3/5 hours
Aidan's average speed to drive home = 16 miles ÷ 3/5
16 x 5/3 = 80 / 3 = 26 2/3 miles per hour
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Answer:
answer is 27 B, on edge.
Step-by-step explanation: