Answer:
70
Step-by-step explanation:
1/10 × 700
0.1 × 700
=70
3.
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = –5x + 3; (–6, 3)
A. y = –5x – 27
B. y = 5x – 9
C. y = –5x + 9
D. y = –5x + 27
Answer:
A. y = –5x – 27
Step-by-step explanation:
You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.
y = –5x + 3
slope of the given line by comparing with y=mx+b is
m= - 5
Concept is that the slope of parallel lines are equal so we need a line with slope same as m=-5
and passes through point (-6,3)
Equation using the point slope equation
y-3 = -5 (x-(-6))
y-3=-5(x+6)
y-3= -5x-30
y= -5x -27
A
What is 40% of 400?
1600%
Remember use benchmark percentages to partition the number line.
Example, 5%, 10%, 20%, and 25%
Answer:
idfk good luck
Step-by-step explanation:
pls check this Thanks!!
! ∪ω∪
Answer:
Glad to say that all your answers are accurate!
HI I NEED HELP PLEASE
Answer:
Refer to the attachment
3x+3y= 27
x-3y= -11
what is x and y???
Answer:
x=4,y=5
Step-by-step explanation:
3x+3y=27
x-3y=-11 (3y and -3y cancel each other out)
4x=16
x=4
4-3y=-11 (plug 4 into the x-value of an priginal equation)
-3y=-15
y=5
95 People are waiting in line for a theater premiere.
Every 5th person in line will receive a free theater
ticket. Every 6th person will receive a gift card
for $40. Which person is the first to receive both
0
prizes?
84 i really dont know
Prove that quadrilateral ABCD is a square, using Pythagorean Therom.
How to find the formula for the Pythagorean therom c2=a2+b2
The quadrilateral is in the picture above..
Answer:
See belowStep-by-step explanation:
The given diagram doesn't give enough details to state the quadrilateral is a square.
We see all sides are of same length of 9 units. This could be a rhombus too.
In order this quadrilateral is a square all interior angles should be marked as right angles.
Let's assume the above condition is met.
Find the length of both diagonals:
[tex]AC=\sqrt{9^2+9^2} =9\sqrt{2} \\BD=\sqrt{9^2+9^2} =9\sqrt{2}[/tex]Since both diagonals have same length, the quadrilateral is a square.
Break into two parts
∆ABC and ∆ADCIn∆ABC
[tex]\\ \sf\longmapsto AC^2=9^2+9^2=81+81=162\implies AC=9√2[/tex]
In ∆ADC
[tex]\\ \sf\longmapsto AC^2=9^2+9^2=81+81=162\implies AC=9√2[/tex]
<D=<B=90°ABCD is a square.
Ashley participated in a triathlon: she swam for 10 minutes at the rate of 40 meters/minute. Then she biked for 40 minutes at the rate of 400 meters/minute. Finally she ran for 25 minutes at the rate of 200 meters/minute. Write a piecewise function expressing the distance d(t) traveled as function of time t
A piecewise function is a function that is applied depending on the
particular interval of the domain.
A piecewise function for the journey can be presented as follows;
[tex]& d(t) = 40\cdot t \text{ if } t\leq 10 \\ \\ &d(t) =400 + 400 \cdot t \text{ if } 10 <t\leq 50 \\ \\ & d(t) = 16,400 + 200 \cdot t \text{ if } 60 <t\leq 85 \end{cases}[/tex]Reasons:
The duration of swimming = 10 minutes
The speed with which she swam = 40 meters /minute
The duration of biking = 40 minutes
The rate at which she biked = 400 meters/minute
The distance in which she ran = 25 minutes
The rate at which she ran = 200 meters/minute
Therefore;
Distance in which Ashley swam, [tex]D_{swim}[/tex] = 10 minutes × 40 m/min = 400 m
Distance of biking, [tex]D_{bike}[/tex] = 40 minutes × 400 m/min = 16,000 m
The distance she ran, [tex]D_{run}[/tex] = 25 minutes × 200 m/minute = 5,000 meters
The time during which she swam = The first 10 minutes = t ≤ 10
The time in which she biked =40 minutes = From 10 minutes to 50 minutes = 10 < t ≤ 50
The time in which she ran after start is 50 < t ≤ 85
Therefore the piecewise function of the above information can be presented as follows;
[tex]& d(t) = 40 \times t \text{ if } t\leq 10 \\ \\ &d(t) =400 + 400 \times t \text{ if } 10 <t\leq 50 \\ \\ & d(t) = 16,400 + 200 \times t \text{ if } 60 <t\leq 85 \end{cases}[/tex]
Learn more about piecewise functions here:
https://brainly.com/question/12578360
https://brainly.com/question/2284278
What is the exact length of AB?
Answer:
AB = 5[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
AB² + BC² = AC²
AB² + (2[tex]\sqrt{3}[/tex] )² = (9[tex]\sqrt{2}[/tex] )²
AB² + 12 = 162 ( subtract 12 from both sides )
AB² = 150 ( take square root of both sides )
AB = [tex]\sqrt{150}[/tex] = [tex]\sqrt{25(6)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{6}[/tex] = 5[tex]\sqrt{6}[/tex]
Write an equation of the line perpendicular
2/3x +1 passing through the point (-6, 4).
Answer:
y−4=3(x−1)or y=3x+1
Is the distance between -6 and 15 on a numberline 6?
Twenty-Four students from Edison Elementary School in West Orange, New Jersey took a field trip to the nearby Edison national Historic Site. Each student paid $6.50 to cover the cost of admission and transportation. How much money was collected?
Answer:
$156
Step-by-step explanation:
A kennel has 48 cats and 28 dogs what is the ratio in the simplest form of dogs to the total number of animals
Answer:
7 : 19
Step-by-step explanation:
There are 28 dogs.
There are 76 animals.
28 : 76
14 : 38
7 : 19
help need pls anewer 1-4
Answer:
1. width is w. length is w + 26
2.
[tex]w \times (w + 26) < 2040[/tex]
3. the width must be less than 34
4. sure, if the width is 10, then the area is 360
Step-by-step explanation:
[tex]w \times (w + 26) < 2040[/tex]
1
Answer:
Step-by-step explanation:
1) Width = w ft
Length = ( w + 26 ) ft
2) Area of floor = length *width
(w + 26)*w < 2040
w*w + 26*w < 2040
w² + 26w - 2040 < 0
3) w² - 34w + 60w - 2040 < 0
w(w - 34) + 60(w - 34) < 0
(w -34)(w + 60) < 0
Ignore w +60 as width wont have a negative value.
w - 34 < 0
w < 34
l = 33 + 26 = 59
Width = 33 and length= 59
Area = length * width = 33 * 59 = 1947 sq. ft
Area ≤ 1947
4) Yes.
If width = 10 , length = 26 + 10 = 36
36* 10 = 360 sq. ft.
So, if it possible to have a n area of 360 sq. ft
if a grey hound can run 60 mile an hour how many mile can it run in 2 hours?
120 miles
The grey hound can run 60 mph
it is running for 2 miles
60x2 is 120
hope this helped :)
help me brainlist if u right how does the event in the second standard change Walters life in the third and fourth stanzas at the change to the chart
Answer:it’s the 3 question!
Step-by-step explanation:
can some one help me please
Answer:
$9.13 is the commission
$151.06 is the amount company has left
Step-by-step explanation:
Finn's commission would be .057 x 160.19 which equals $9.13
The company would keep the difference of 160.19 and 9.13 which equals $151.06
Find the equation of the line that passes through the point (2,-6) and is perpendicular to the line y=1/4x-2.
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
The line we want is perpendicular to y=1/4x-2. A perpendicular line will have a slope that is the negative inverse of the reference line, so it will have a slope of -4. That gives us:
y = -4x + b
We can find b by entering the given point, (2,-6) and solving for b:
y = -4x + b
-6 = -4*(2) + b
-6 = -8 + b
b = 2
The equation is y = -4x + 2
Check it by graphing (DESMOS works well). Attached.
11. Pristine House Cleaners charges $40 plus $18 per room. Sparkle House Cleaners charges $64
plus $14 room. Write and solve an equation to find the number of rooms for which the total cost of
both house cleaners is the same.
Answer:
6 rooms
Step-by-step explanation:
Let x = price per room
y = total cost
Pristine charges $18 per room, so multiply x by 18 like this: 18x
They also add $40 on top of that to make up the total cost
y = 18x + 40
Sparkle charges $14 per room, so multiply x by 14 and add 64 for total cost
y = 14x + 64
To find out how many rooms they would need to clean for the same price, make them equal to each other
18x + 40 = 14x + 64
Move like terms together by subtracting 14x from both sides
18x + 40 = 14x + 64
- 14x - 14x
4x + 40 = 64
Subtract 40 from both sides
4x + 40 = 64
- 40 - 40
4x = 24
Then divide both sides by
4x/4 = 24/4
x = 6
What's the reciprocal of 7/12?
Sorry I got a lot of math
Pls help me no links
Answer:
(Listed in bold below.)
Step-by-step explanation:
Part A: Mr. Johnson has a watch that's $60. He increased it by 30%, which is 130% of it's original price. We can divide $60 by 1.30 in order to increase it by 30%.
Mr. Johnson has the watch listed at $78.
Part B: The watch is $88, but has a 15% discount. We need to subtract by 15% (0.15). Multiply 88 by 0.15 to see the total removed. The total removed is $13.20. Subtract that from $88. The total is $74.8, until we add sales tax. To add 5%, multiply $74.8 by 1.05.
The customer paid $78.54 for the watch.
Macie and Seth built sandcastles at the beach. Macie's
sandcastle was 220 cm tall but the wind is blowing away
sand at a rate of 4.8 cm per minute. Seth's sandcastle is 132
cm tall and he is adding sand to it at a rate of 6.2 cm per
minute.
I guess that we want to know when both sandcastles will have the same height. We will see that the castles will have the same height after 8 minutes.
We know that Macie sandcastle height is equal to 220cm and wind blows away sand at a rate of 4.8cm per minute, then the height equation is:
M(t) = 220cm - 4.8cm*t
Where t is time in minutes.
While Seth's sandcastle has an initial height of 132cm and its height increases at a rate of 6.2 cm per minute, then the equation is:
S(t) = 132cm + 6.2cm*t
The castles will have the same height when:
M(t) = S(t)
220cm - 4.8cm*t = 132cm + 6.2cm*t
220cm - 132cm = 6.2cm*t + 4.8cm*t
88cm = 11cm*t
88cm/11cm = t = 8
This means that the castles will have the same height after 8 minutes.
If you want to learn more, you can read:
https://brainly.com/question/15253236
Find the perimeter of ABCD and please explain how you found it.
Answer:
157
Step-by-step explanation:
We can already tell that these two figures are congruent due to the angles (if you remember, the "top" and "bottom" angles of trapezoids form 180 degrees). Since we know that these are congruent, we know that GH = BC, and so on. We can then plug in the missing sides by looking at the figure that has the sides. Thus, giving us 157. Hope this wasn't too complicated!
Answer:
Step-by-step explanation:
solve x^2=9 using square root
Answer:
x=3
Step-by-step explanation:
[tex]x^2=9[/tex]
Find the square root of both sides.
[tex]x=\sqrt{9}[/tex]
x=3
a recipe calls for 4 cups of fruit juice for every 5cups of water how much fruit juice is needed for every cup of water?
we have the ratio of fruit juice to water is 4:5 which means each cup of water need 4/5 (or 0.8) cup of fruit juice.
A soccer shop is having a holiday sale. All jerseys are 45% off the original price of $79. An early bird special gives an additional 15% off the
sale price. What is the final price of a jersey if all the discounts are applied? Round to the nearest cent.
PLEASE ANSWER ASAP
Answer:
$31.60
Step-by-step explanation:
79 - 47.40 = $31.60
Answer:31.60
Step-by-step explanation:
79-40.79 31.0
solve pls brainliest
Answer:
125yd^3
Step-by-step explanation:
Answer:
125 yd³
Step-by-step explanation:
Volume of a rectangular prism is:
[tex]V = \text{width} * \text{length} * \text{height}[/tex]
================================
All of the given measurements are 5 yds.
================================
[tex]V = \text{width} * \text{length} * \text{height}\\\rule{150}{0.5}\\V = 5 * 5 * 5\\\\V = 5^3\\\\V = \boxed{125}[/tex]
================================
The volume of the rectangular prism should be 125 yd³.
Hope this helps.
Principal Simons purchases boxes of pens for her school at an online store. The store charges her the same amount for each box of pens plus a flat shipping fee for any number of boxes she purchases. Selected numbers of boxes and the corresponding total cost including the shipping fee for that number of boxes are shown in the table. Let t be a function that models the total cost including the shipping fee, in dollars, to purchase p boxes of pens. Based on the values in the table, which of the following best defines the function t ?
Answer:
it's c
Step-by-step explanation:
A rectangular red sticker has a perimeter of 12 millimeters and an area of 8 square millimeters. What are the dimensions of the sticker?
Answer: 9" by 7"
Step-by-step explanation:
let the dimensions of the rectangle be x and y
equation 1: xy=63
equation 2: 2(x+y)=32
first, rearrange the terms
(1′): y=63/x
(2′): y=16−x
(1′)-(2′): 0=63/x−16+x
multiply the equation by x
0=x2−16x+63
0=(x−9)(x−7)
so x = 7 or x = 9
from this, y = 9 when x = 7 and y = 7 when x = 9
so, the dimension of the rectangle is 9″ by 7″
What is the result of 31.978 subtracted from 66.4?
34.422
Explanation:A splendiferous teen willing to help,
who listens to "Fight Song,"
stay salty...