Solution:
w(x) = 2(x + 2) + 5
w(x) = 2x + 4 + 5
w(x) = 2x + 9
Best of Luck!
The two triangles are similar. There are two possible values of x. Work out each of these values. State both assumptions you make in your working. You must state which two triangles you are assuming to be similar.
Answer:
ΔABE ~ ΔACD, x = 2ΔABE ~ ΔADC, x = 17Step-by-step explanation:
ΔABE ~ ΔACD
AC/AB = AD/AE
(10+x)/10 = (15+3)/15
1 +x/10 = 1 +0.2 . . . expand each ratio
x = 10(0.2) . . . . . . . subtract 1 and multiply by 10
x = 2
__
ΔABE ~ ΔADC
AC/AE = AD/AB
(10+x)/15 = (15+3)/10
10 +x = 27 . . . . . . . . multiply by 15
x = 17 . . . . . . . . . . . . subtract 10
_____
Additional comment
The triangles can be declared similar in 6 ways, but it does no good to match a marked side with an unmarked side. Hence, only two of the possible similarity statements will result in a solution for x.
Answer:
This will give you 5/5
x = 17
x=2
Assuming triangle ABE is similar to ACD
Assuming traingle ABE is similar to ADC
Step-by-step explanation:
18/10 = 1.8 (S.F)
15 x 1.8 = 27
27-10 = 17
x = 17
15+3=18
18/15= 1.2 (S.F)
10x1.2= 12
12-10=2
x=2
Assuming triangle ABE is similar to ACD
Assuming triangle ABE is similar to ADC
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket. What is the greatest number of bricks Lynn can make? bricks How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks? pounds
Answer:
10
And 4
Step-by-step explanation:
select the correct answer. what is the sum of -6 4/5 and 6 4/5? A. 12 4/5. B. 29/5 C. 0 D. -12 4/5
Answer:
C.
Step-by-step explanation:
-6 4/5 and 64/5 are opposites or a zero pair so when you add them you get zero.
Please Help 10 Points
Answer:
-2x^2-6x-15
Step-by-step explanation:
A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *
Answer:
1020
Step-by-step explanation:
the price of a share of stock for a company XYZ at the beginning of the week was $24.75. over the next 5 days, the share of the stock gained $2.50 on Monday lost $3.25 on Tuesday lost $0.75. on Wed, gained $1.25 on Thursday, and gained 4.75 on Friday
Answer:
$29.25
Step-by-step explanation:
The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let the integers loss is represented by negative integers whereas profit is represented by positive numbers.
Given, Beginning price = $24.75
Over the next 5 days,
On Monday, gain of $2.50 represented by; + $2.50.
On Tuesday, loss of $3.25 represented by; - $3.25 .
On Wednesday, loss of $0.75 represented by; - $0.75.
On Thursday, gain of $1.25 represented by ;+ $1.25.
On Friday, gain of $4.75 represented by; + $4.75.
The Price of the share of stock at the end of Friday would be;
= (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)
= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)
= $29.25
Hence, The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.
Learn more about the unitary method;
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To make lemonade , Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of sugar, how many cups of lemon juice does she need?
Answer:
5 cups
Step-by-step explanation:
Answer:
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.
For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.
The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.
The unit rate is 2 cups sugar per cup of lemon juice.
Step-by-step explanation:
What is X? Show your work
Answer:
x=-3/7
Step-by-step explanation:
multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7
make f the subject of the formula c=[tex]\frac{5(f-32)}{9}[/tex]
Answer:
[tex]f=\frac{9c}{5}+32[/tex]
Step-by-step explanation:
[tex]c=\frac{5\left(f-32\right)}{9}[/tex]
Switch sides:
[tex]\frac{5\left(f-32\right)}{9}=c[/tex]
Multiply both sides by 9:
[tex]\frac{9\times5\left(f-32\right)}{9}=9c[/tex]
[tex]5\left(f-32\right)=9c[/tex]
Divide both sides by 5:
[tex]\frac{5\left(f-32\right)}{5}=\frac{9c}{5}[/tex]
[tex]f-32=\frac{9c}{5}[/tex]
Add 32 to both sides:
[tex]f-32+32=\frac{9c}{5}+32[/tex]
[tex]f=\frac{9c}{5}+32[/tex]
NEED ASAP 100 POINTS!!!!!!!!!
Answer:
3) a. f(-4) = 2
b. f(0) = 0
c. f(3) = -1.5
d. f(-5) = 0
e. x = -4
f. x= 0
4) a. f(-1) = 1
b. f(3) = -1
c. 1
d. -5
5) f(6) = 2
f(2) = 4
f(0) = 7
f(5) = 1.5
x=4
Answer:
see below
answers as required.
3)
a. [tex]f[/tex](-4) = 2
b. [tex]f[/tex](0) = 0
c. [tex]f[/tex](3) = -1.5
d. [tex]f[/tex](-5) = 0
e. x = -4
f. x= 0
4)
a. [tex]f[/tex](-1) = 1
b. [tex]f[/tex](3) = -1
c. 1
d. -5
5)
[tex]f[/tex](6) = 2
[tex]f[/tex]f(2) = 4
[tex]f[/tex](0) = 7
(5) = 1.5
x=4
1.Solve : 3(5 + 7) - 4(8 + 4) = * 2.solve:-7 x -10 ill give you an free robux account if you get them correct
Answer:
1) -12, 2) 70
Step-by-step explanation:
Hope this helps :)
Answer:
oh someone got it already :(((( ugh
Step-by-step explanation:
ro bux
What is the answer to (10^4)(5^2)^3 divided by (10^3)(5^3)
Answer:
19531250
By divided it
I’m stuck on this I need help
The slope of the red line = 2
The y-intercept of the red line = 3
The x-intercept of the red line = -1.5
Ariana has atoy car collection. She keeps 14 of the toy cars on her wall, which is 35% of her entire collection. What is the total number of toy cars in Ariana's collection?
Answer:
40 cars
Step-by-step explanation:
The total percentage of Ariana's car collection should be = 100%
35% of the collection = 14
1 percent = 14/35
1 percent is therefore 0.4
To get the total number of cars in Ariana's collection, we multiply 100 by 0.4
= 100 x 0.4 = 40
Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.
Another way to solve this is by cross multiplication
35% = 14
100% = ?
When we cross multiply we have:
(100x14)/35
= 1400/35
= 40
Thank you!
) consider the initial value problem y′−5y=15t+3et,y(0)=y0 y′−5y=15t+3et,y(0)=y0 (a) solve the initial value problem. (enter y0 for y0y0). y(t)y(t)= equation editorequation editor (b) determine the value of y0y0 that separates solutions that grow positively as t→[infinity]t→[infinity] from those that grow negatively.
Answer:
a)value attached below
b)Yo = [tex]\frac{-27}{20}[/tex]
Step-by-step explanation:
A) solving initial value problem
[tex]y' - 5y = 15t + 3e^t[/tex]
y(0) = yo
hence the solution of the initial value problem : y(t)
Y(t) =
Attached below is the detailed solution
B) Yo = [tex]\frac{-27}{20}[/tex] separates the solutions as
t →∞
this is because when y(t) < [tex]\frac{-27}{20} y(t) tends to inifiniy[/tex]
y(t) > [tex]\frac{-27}{20} y(t) tends to inifinity[/tex]
How many miles per hour is 1 mile per minute
What is slope intercept form?
O y = mx + b
OAX + By = C
O a^2 + b^2 = c^2
m is the slope
Answer:
y = mx + b
m is the slope and b is the y intercept, if I remember correctly
hope this helps :)
The midpoint of gh is m(4,-3). One endpoint is G(-2,2). Find the coordinates of endpoint H
Answer:
Step-by-step explanation:
(-2 + x)/2= 4
-2 + x = 8
x = 10
(2 + y)/2 = -3
2 + y = -6
y = -8
(10, -8) for endpoint H
what is 02.15cm in meters
Answer:3200
Step-by-step explanation:
What is the dependent variable in the graph below? a. month of the year b. days of snow fall c. time d. amount of snowfall PICTURE BELOW!
Answer:
Days of snowfall
Step-by-step explanation:
the y- axis
f(x) = 2x and h(x) = 2x^2;Find f • h(3)
Answer:
36
Step-by-step explanation:
start by finding x for h(x)
2(3)^2
18
f(x) = 2(18)
36
Aliaa uses deductive reasoning to identify the number angles that fit inside a circle based on her knowledge that obtuse angles have measures greater than and that there are at the center of the circle. Aliaa wants to partition the circle in 3 congruent angles, what is the angle measurement that best fits Aliaa's circle partition?
Answer:
The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.
Step-by-step explanation:
The sum of angles at the center of the circle = The sum of angles at a point = 360°
Therefore, to partition the circle into three congruent angles, the measurement of each of the partition should be 360°/3 = 120°
The steps to partition a circle into three are;
1) Draw the diameter of the circle, to intersect the circumference of the circle at points A and B
2) Mark a point, C, at a distance of half the radius from the center of the circle, O, to the point, B, on the circumference, using a straight edge
3) Draw a perpendicular line to the diameter of the circle, through the point, C, to intersect the circle circumference at points D and E)
4) Draw radial lines from the circle center, O, to the points D and E
5) The segments OA, OB, and OE, are segment lines partitioning the segment into three congruent angles.
A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on the yellow side 29 times. what is the relative frequency of the chip landing with the yellow side facing up?
38%
42%
56%
58%
Answer:
58 %
Step-by-step explanation:
Shellys old living room had a length that was twice its width. When she moved, her new living room was 2 feet longer and 4 feet wider that her old one. If w represents the width of her old living room write the expression used to represent the difference in the area of her old living room and her new living room.
Answer:
10w+6 is the difference between the two areas
Step-by-step explanation:
for the old room:
l=2w
wich mean
Area_old=l*w=2w*w=2w²
for the new room:
L=l+2 since l=2w => L=2w+2
W=w+4
so
Area_new=L*W=(w+4)*(2w+2)= 2w² +10w+6
the difference is :
Area_new - Area_old= 10w+6
round -6(5-7s)=20 pls help
Answer:
Step-by-step explanation:
-6(5-7s) = 20
-30 + 35s = 20
Add 30 both sides
35s = 50
Divide by 35 both sides
S=1.4
What is the slope of the data from the table?
х
11
15
19
у
2
10
18
Answer:
first it's adding 4 then it starts adding 8
Step-by-step explanation:
Answer:
If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate
X = 11 15 19
Y = 2 10 18
m = (y2 -y1)/(x2 - x1)
m = (10 - 2)/(15 - 11)
M = 8/4 = 2
I hope you find this useful.
If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate
X = 11 15 19
Y = 2 10 18
m = (y2 -y1)/(x2 - x1)
m = (10 - 2)/(15 - 11)
M = 8/4 = 2
I hope you find this useful.
Step-by-step explanation:
what’s the answer choice?
Answer:
0.3 or 3/10
Step-by-step explanation:
a/b = -1/4 / -5/6
=> -1/4 * -6/5
=> 6/20
=> 3/10 in simplest form.
Hope this helps, Please put me as brainliest!!
The combined height of the world's three tallest buildings is 6,360 feet. The building in Dubai is 745 feet taller than
the building in Makkah. Taipei's building is 301 feet shorter than Makkah's.
The equation (x + 745) + x + (x - 301) = 6,360 represents the scenario.
What can be determined from the given information? Check all that apply.
x represents the height of the building in Dubai.
The expression (x - 301) represents the height of the building in Taipei.
The building in Makkah is 1,972 feet tall.
The height of Dubai's building is 1,227 feet tall.
The height of Taipei's building is 1,671 feet tall.
Answer:
b , c , d
Step-by-step explanation:
Answer:
The answer is B, C, and E.
Hope this helps!!! Love you!!
Step-by-step explanation:
Please solve need help!
Answer:
ST 45
Step-by-step explanation:
9x=4x+25
5x=25
x= 5
plug back in 9(5)
Sam and John are finding −3 − 14. Who is correct?
Sam John
-3 - 14 = -3 + 14 -3 - 14 = -3 + (-14)
=11 = -17
Describe how you got the answer PLZS
Answer:
-17
Step-by-step explanation:
ok well I can't really see Sam and John's answer but -3-14 is equal to -17
if you see that there's a negative in front of the first number and its also subtracting you have to make that subtract sign an addition sign then change the second number to a negative like this:
-3+-14 then you just add.
With Sam and John whichever one had -17 as their answer is correct