Answer:
y=x+-2
Step-by-step explanation:
Slope intercept form is y=mx+b
I plugged in the slope for m and y-intercept for b
sorry i did this real fast because it sounded urgent :)
One student ate 3/20 of all candies and another 1.2 lb. The second student ate 3/5 of the candies and the remaining 0.3 lb. What weight of candies did they each eat? PLEASE HELP!!
Let the total weight of the candy = x
We know the total weight is:
X = 3/20x + 1.2 + 3/5x+ 0.3
Simplify:
X= 3/20x + 1.2 + 12/20x + 0.3
X = 15/20x + 1.5
Subtract 15/20x from both sides:
5/20x = 1.5
Divide both sides by 5/20:
X = 1.5 / 5/20
X = 6
Total = 6 pounds.
*PLEASE ANSWER, NEED HELP* Find the surface area of the rectangular prism below.
Answer:
461.02
Step-by-step explanation:
2 × ( (12.3 × 4.3) + (12.3 × 10.7) + (4.3 × 10.7)) = 461.02 m^2
Answer:
461.02 M^2
Step-by-step explanation:
A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
SA = 2lw+2lh+2hw
2LW = 105.78 M^2 ( 52.89* 2 )
L= 12.3 M^2 , W = 4.3 M^2
LW = 52.89 M^2
2LH = 263.22 ( 131.61 * 2 )
L = 12.3 M^2 , H = 10.7 M^2
LH = 131.61 M^2
2HW = 92.02 ( 46.01 * 2 )
H = 10.7 M^2 , W = 4.3 M^2
HW = 46.01 M^2
SA = 2lw+2lh+2hw
SA = 105.78 M^2+ 263.22 M^2 + 92.02 M^2
SA = 461.02 M^2
Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)
Answer:
y -1 = -3(x+1)
Step-by-step explanation:
First find the slope
(-1,1) and (1,-5)
m = (y2-y1)/(x2-x1)
= (-5-1)/(1--1)
=-6/ (1+1)
= -6/2
= -3
We are using point slope form
y-y1 = m(x-x1) where m is the slope
y - 1 = -3( x - -1)
y -1 = -3(x+1)
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y= mx + c
where m is the slope
Slope of the line using points
(-1,1) and (1,-5) is
[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]
Therefore the equation of the line using point (-1,1) is
y - 1 = - 3( x + 1)Hope this helps you
What is 10^4 in standard notation
Answer:
10,000
Step-by-step explanation:
Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.
Can someone answer a-c please!
describe the y-intercept in terms of knots and rope length
Answer:
what is the y-intercept sorry i can't help there isn't enough information
Step-by-step explanation:
If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1? A) -2 2 - (-8) + 1 B) -2 2 - 8 + 1 C) (-2) 2 - (8) + 1 D) (-2) 2 - (-8) + 1
Answer:
The answer is D.
Answer: D) (-2)*2 - (-8) +1
Step-by-step explanation:
w = -2.
so the w2 is equal to -2*2
v = -8
so -v + 1 = -(-8) + 1
Put it together and you get (-2)*2-(-8)+1
the parentheses are needed for the first -2 because other wise it'd be -(2*2) instead of (-2)*2
solve for x -7x+1≥22 or -10x+41≥81
Answer:
The answer to the union of the two sets is: [tex]x\leq -3[/tex]
Step-by-step explanation:
Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.
First inequality:
[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]
so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)
Second inequality:
[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]
So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.
Then, when we do the union of these two sets, we get:
[tex]x\leq -3[/tex]
since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.
Scanning the road can be thought of as a
A. way to improve your mileage
B. way to reduce your mileage
C. comprehensive drive test
D. systematic search process
Answer:
D
Step-by-step explanation:
Well scanning the road for mileage wouldn't be the correct formula for "scanning" but looking for a gas station sounds more right.
Answer: d
Step-by-step explanation: i did it and got it right
Gary runs a recycling centre for a local charity.
New staff have to take part in 7 hours of training before they can
work at the centre,
Gary needs to arrange a training programme for new staff.
The training programme will start on Monday 5th September
Each training day:
1) starts at 10 am and must finish by 5 pm
2)has sessions in 2 hour blocks which include a 15 minute
break
3)has a 1 hour break for lunch
The 15 minute breaks and
lunch do not count towards the 7 hours of training
At the end of the training there will be a 90 minute assessment.
Gary needs to know the least number of days he needs to allocate
for the 7 hours of training and the assessment.
Plan a training programme for Gary.
Show the start and finish times for the sessions on your plan.
Answer:
Just use 2 days
Step-by-step explanation:
Train for 2
Break
Train for 2
Break
Lunch
Day 2:
Train for 2
Break
Lunch
Exams
Which value makes the inequality x^2 ≥ x false?
A. -1/4
B. 0
C. 1/4
D. 1
Answer:
D
Step-by-step explanation:
cas if x =1
then 1^2>or=1
1is not >or=1
A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?
Answer:
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Step-by-step explanation:
A prism has a volume of 238 cubic millimeters.
A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.
Which is the correct substitution for finding the length of the prism?
A. V = l w h. 238 = l + 8 and one-half + 3 and one-half
B. V = l w h. V = 238 times 8 and one-half times 3 and one-half
C. V = l w h. l times 8 and one-half times 3 and one-half
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
From the question
V=lwh
Volume of a prism=length)(width)(height)
Volume=238
l= l mm
w= 8 1/2
h= 3 1/2
Substituting all the values
V=lwh
238= l * 8 1/2 * 3 1/2
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Answer:
D
Step-by-step explanation:
got it right on edge 2020
What is the measure of Angle X W Y? Triangle X W Y. The exterior angle to angle W is 74 degrees. 16 degrees 74 degrees 106 degrees 116 degrees
The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.
Answer:
the answer is 74
Step-by-step explanation:
i did the cumulative test
please help with this too
Answer:
Step-by-step explanation:
Garden roller is in the shape of cylinder.
So, one revolution = Curved surface area of the cylinder
diameter = 70 cm
radius = 70/2 = 35 cm
h = 100 cm
Curved surface area of the cylinder = 2πrh
= [tex]2*\frac{22}{7}*35*100[/tex]
= 22000 square cm
Area covered in 15 revolutions = 15 * 22000
= 330000 square cm
2) Coin
diameter = 22 mm
r = 22/2 = 11 mm
Volume of coin = 66 mm
πr²h = 66
[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]
Please help me on this question
Answer:
x = [tex]\frac{k(a+r)}{7}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )
a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )
k(a + r) = 7x ( divide both sides by 7 )
[tex]\frac{k(a+r)}{7}[/tex] = x
Answer:
ak - kr k(a - r)
x = -------------- or x = ------------
7 7
Step-by-step explanation:
1. Multiply all three terms by k to eliminate the fraction:
ak = 7x - kr
2. Subtract kr from both sides:
7x = ak - kr
3. Divide both sides by 7:
ak - kr k(a - r)
x = -------------- or x = ------------
7 7
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
====================================================
Work Shown:
T = tens digit of the original number
U = units digit of the original number
U+T = 10 since the digits add to 10. Solve for U to get U = 10-T
10T+U = original number
10U+T = new number where digits are reversed
-----------
new number = (old number) + 36
10U+T = (10T+U)+36
10U+T = 10T+U+36
10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T
100-10T+T = 10T+10-T+36
-9T+100 = 9T+46
100-46 = 9T+9T
54 = 18T
18T = 54
T = 54/18
T = 3 is the tens digit of the original number
U = 10-T
U = 10-3
U = 7 is the units digit of the original number
10T+U = 10*3+7 = 30+7 = 37 is the original number
73 is the reversed number.
73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.
Answer:
37
Step-by-step explanation:
Line 'L' is horizontal and passes through (-5,8). Line 'L is vertical and passes through $(4,-1)$. Find the point of intersection of $\ell_1$ and $\ell_2$.
Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)
Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)
Put this together to get the answer (x,y) = (4,8)
Answer:
The two lines intersect at (4,8).
Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?
Answer: she needs to work 8 hours
Step-by-step explanation:
The function f(x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2,–1)} Which equation is true?
Answer:
y = -6x + 6
Step-by-step explanation:
To make an equation you need to find the slope first
To do that use the expression y2-y1/x2-x1 (-6)
Now plug that in to y = mx + b
Lastly you substitute any coordinate and find b
y = -6x + 6
Answer:C
Step-by-step explanation:
SOMEONE PLS HELP I WILL GIVE BRAINLIEST
factor x^(n+2)+x^(2)
pls explain too :>
Answer:
x² (x^n + 1)
Step-by-step explanation:
factor x^(n+2) + x²
= x^(n+2) + x²
= x^n • x² + x² (using law of indices)
= x²(x^n + 1)
The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.
Answer: [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
Step-by-step explanation:
In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.
Also, CE = CD = radius
⇒ ∠CED = ∠CDE ---(i) [angles opposite to equal sides of triangle are equal]
Since radius makes a right angle with tangent.
So, ∠CDF = 90°
⇒ ∠CDE =∠CDF - ∠EDF
⇒ ∠CDE= 90° - 84°
⇒ ∠CDE = 6°
From (i) ∠CED =∠CDE = 6°
In ΔCDE
⇒∠CED + ∠CDE + ∠ECD = 180°
⇒ 6°+6°+ ∠ECD = 180°
⇒ 12°+ ∠ECD = 180°
⇒∠ECD = 180° - 12°
⇒∠ECD = 168°
Since , Angle measure of the central angle is equal to the measure of the intercepted arc.
Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]
⇒[tex]m\overbrace{ED}[/tex]= 168°
Hence, [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
The taxi fare in Gotham City is $2.40 for the first ½ mile, and each additional mile costs $0.20. You plan to give the driver a $2.00 tip. How many miles can you ride for $10.00?
Answer:
He can ride for 28 miles
Step-by-step explanation:
Total cost of the ride = $ 10
Tips = $ 2
Cost of ride excluding tips = 10 - 2 = $ 8
Taxi fare for first 500 miles = $ 2.40
Taxi fare excluding first 500 miles = 8 - 2.40 = $ 5.60
distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile
= 5.60 ÷ 0.20
=28 miles
Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200
Answer:
$1500
Step-by-step explanation:
It is given that
Rent = $100
Groceries and drinks = $1000
Insurance premiums = $10
Loan interest payment =$30
Clothes = $200
Utilities = $300
Home security fee = $200
Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.
In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.
Groceries and drinks, clothes and utilities are variable cost.
So, total variable cost for last month is
[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]
Therefore, total variable cost for last month is $1500.
Answer:
$1500
Step-by-step explanation:
I just took the test and got it right
Which relation is a function? Coordinate grid with graph of a vertical line at x equals 3. A coordinate grid with graph of a curve that increases through the third quadrant through the origin and exits the first quadrant A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.
Answer:
the answer is "A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin"
I took the test. Good luck!
A function is a coordinate grid containing a U shape with arrows on both ends that opens to the right, and in which the bottom portion of the U passes through the origin.
A function is a rule that connects outputs to each value. The relationship between value and output is often described with a mathematical formula, where the value is represented by one or more variables, alternatively by a table or graphically by a graph, a relationship diagram or an arrow diagram.
An important property of functions is that they are deterministic (that is, consistent, so that each value always gives the same value). This means that the function can be seen as a machine, which systematically delivers output values as soon as input values are inserted.
Learn more in https://brainly.com/question/23505310
Can you pleease help ill mark as brainliest
Answer:
Step-by-step explanation:
Convert 18 ft to yards
Answer:
6 yds
Step-by-step explanation:
We know there are 3 ft in 1 yd
Divide by 3 ft
18 ft / 3 ft = 6 yds
Answer:
6 yards
Step-by-step explanation
1 yard= 3 feet
Please help me fast!
Answer:
39.5
Step-by-step explanation:
Let's figure out the equations of l and m first.
For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.
We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:
m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3
The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.
For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:
m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7
The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.
Taking the two equations, let's set 15 equal to y and solve for x:
y = (-5/3)x + 5 ⇒ 15 = (-5/3)x + 5 ⇒ 10 = (-5/3)x ⇒ x = -6
y = (-2/7)x + 2 ⇒ 15 = (-2/7)x + 2 ⇒ 13 = (-2/7)x ⇒ x = -91/2
Let's find the difference:
-6 - (-91/2) = 39.5
The answer is thus 39.5.
~ an aesthetics lover
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain
Answer:
It states that assuming the trunk is 96" long. So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.
Step-by-step explanation:
The length of the diagonal of the trunk is 56.356011 inches.
What is Pythagoras Theorem?A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
Given:
height of the trunk= 26 inches
length of the trunk= 50 inches
using Pythagorean theorem,
diagonal length of the trunk=√(height² +length²)
=√(26²+50²)
=√3176
=56.356011 inches
Hence, the length of the diagonal of the trunk is 56.356011 inches.
Learn more about this concept here:
https://brainly.com/question/17106915
#SPJ2
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is ___. The point ____ lies on CD.
Answer:
y = -x + 17
Step-by-step explanation:
A(-10,-3)
B(7,14)
C(5,12)
Need line CD perpendicular to AB through C.
Solution:
slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1
Slope of CD, m2 = -1/m1 = -1 / 1 = -1
Line CD through C, using the point slope form
y-yc = m2(x-xc)
y-12 = -1 (x-5)
rearrange
y = -x + 5 + 12
y = -x + 17
Answer:
x intercept of CD is (17, 0)
Point (-2, 19) lies on CD
Step-by-step explanation:
The function h is defined by h (x) = x^2 +5.
Find h (4a).
????
Answer:
16a^2+5
Step-by-step explanation: