If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC
Answer:
see explanation
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]
Then
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )
4(3x - 2) = 10x
12x - 8 = 10x ( subtract 10x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Some number increased by two A) y2
A variable decreased by two B) x − 2
Product of an unknown value and two C) b + 2
Quotient of some number and two D) 2z
An unknown value squared E) a ÷ 2
Answer:
match
Step-by-step explanation:
A grocery store offers a service where customers can place an order and have their groceries delivered to their home for a additional fee. The equation y=1.5x can be used to find y, the total cost in dollars for x, the grocery cost In dollars. Ian has groceries delivered for a total cost of &125.90. He says his grocery cost must be $118.90. Is Ian correct? Explain your reasoning
Answer:
The answer is below
Step-by-step explanation:
A linear function graph can be represented by:
y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.
Given that y represents the total cost, x represent the grocery cost and the equation is given as:
y = 1.5x
The groceries where delivered for a total cost of $125.90, The grocery cot can be gotten by substituting y = 125.9 and calculating x. Hence:
125.9 = 1.5x
x = 125.9/1,5
x = $83.93
Therefore saying that the grocery cost must be $118.90 is incorrect.
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James bought 12 cookies and ate 3 of them. He ate ____% of the cookies
Answer:
25%
Step-by-step explanation:
3/12=d/100
12×d=12d=3×100=300
12d÷12=d
300÷12=25
d=25
hope this helps
whats 2 other ways to write this equation:
40 = 19+7x
Answer:
1: 7x+19=40
2: 19+7x=40
Step-by-step explanation:
A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
1. 1187 square inches
2. 517 square inches
3. 3077 square inches
4. 785 square inches
Answer:
4
Step-by-step explanation:
use the formula to get the answer but i got 785.71.
The graph shows a line and two similar triangles.
What is the equation of the line?
A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x
Answer:
a y=3/2× Pls help me do me one
a
Which of the following expresses 2.444 as a fraction in simplest form?
A. 2 1/4
B. 2 2/5
C. 2 11/25
D. 2 4/9
Answer: C. 2 11/25
Step-by-step explanation:
) Hiroki's goal is to collect $40 for a school fundraiser. He has already collected $26.50. Hiroki wants
to know how much more money he needs to collect.
that use the word correctly
ices, press the "Check Me" butto
6 POTE
.) Let m be the amount of money Hiroki still needs to collect.
Describe the situation with an equation.
this town made the first eleva
er and wrote a note on it
vater from the sink is leaking
color of copper coins
m
26.50
40
corper pipes for this project
De
Answer:
$13.50
Step-by-step explanation:
Subtract 40 from 26.50 to get the answer
WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C both line and point symmetry
Step-by-step explanation:
.A bag contains 3 red checkers and 5 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is the P(black, then red)?
Answer: 15 / 56
Step-by-step explanation:
Number of red checkers = 3
Number of black checkers = 5
Total number of checkers = 8
P(black, then red) = 5/8 × 3/7 = 15/56
We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.
Hair is a trapezium drawn on a centimetre grid not trying to scale work out the area of the trapezium state in the units of your answer. 2 marks
Answer:
[tex]Area = 18[/tex]
Step-by-step explanation:
Given;
[tex]a = 2\\ h = 4\\ b=7[/tex]
See attachment for trapezium
Required
The area
From the attachment, the formula is:
[tex]Area = \frac{1}{2} * (a + b) * h[/tex]
[tex]Area = \frac{1}{2} * (2 + 7) * 4[/tex]
[tex]Area = \frac{1}{2} * 9 * 4[/tex]
[tex]Area = 18[/tex]
4400 dollars is placed in an account with an annual interest rate of 7%. To the nearest year, how long will it take for the account value to reach 10100 dollars?
Answer:
19 years approx
Step-by-step explanation:
Given data
Principal P= $4400
Rate r=7%
Final amount A=$10100
Time t= ???
Let us apply the simple interest expression
A=P(1+rt)
substitute
10100=4400(1+0.07*t)
open bracket
10100=4400+308t
10100-4400=308t
5700=308t
t= 5700/308
t= 18.50
Hence the time is 19 years approx
Eli runs 5 meters per second.
On a coordinate plane, a line goes through points (1, 5) and (2, 10)..
Use the graph to identify the independent and the dependent variable. Check all that apply.
The two variables are Eli and 5.
The two variables are meters and seconds.
Meters are graphed on the x-axis.
Meters are graphed on the y-axis.
Seconds is the independent variable.
Seconds is the dependent variable.
will some on really help me know?
Answer:
Its B, D, E
Step-by-step explanation:
Answer:
what the person above me said
Step-by-step explanation: =
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What is the equation for nth term of the geometric sequence-2,8,-32,...?
Answer:
The last one
Step-by-step explanation:
each following number in the sequence is multiplied by -4, and the first number is -2!
a.Write a polynomial to find the volume of the
rectangular prism.
b.Find the volume if x =12 feet.
Answer:
hmmm 38
Step-by-step explanation:
?
The equation of a circle is x^2 + y^2 = 56.25
Answer:
Step-by-step explanation:
General equation of circle with center at (0, 0) : x² + y² = r²
x² + y² = 56.25
x² + y² = 7.5²
Radius = 7.5 units
Center (0 , 0)
Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.
Answer:
Percent sales tax = 9%
Step-by-step explanation:
Listed price = $29
Price with tax = $31.61
Amount of tax = Price with tax - Listed price
= $31.61 - $29
= $2.61
Find the percent sales tax.
Percent sales tax = $2.61/$29 × 100
= 0.09 × 100
= 9%
Percent sales tax = 9%
4/7 is multiplied by a fraction less than one. Complete the explanation to show how the product compares to the factors.
Answer:
That is true!
Step-by-step explanation:
This is the full question if you can please solve this it’s really important.
A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.
Answer:
[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]
Step-by-step explanation:
Area of Rectangle:
Length = 11.8 in.
Width = 3.6 in.
Area = Length * Width
Area = 11.8 * 3.6
Area = 42.48 in.²
Area of 3 circles:
Diameter = 3.6 in.
Radius = D/2 = 3.6/2 = 1.8 in.
[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]
Area of 3 circles = 3(10.18) = 30.5 in.²
Area of the figure when the 3 circles are cut:
= Area of the rectangle - Area of 3 circles
= 42.28 - 30.5
= 11.74 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807if the force of an object is 100N and the mass is 25Kg, what is the acceleration?
Answer:
4ms-²
Step-by-step explanation:
Applied Force=100N
Mass of the object=25Kg
Let the acceleration be 'a'.
Force=Mass*Acceleration
100=25*a
100/25=a
4=a
The Girl Scouts were selling cookies outside the local grocery store. Each box sold for $4.50.
Which equation could be used to complete the table?
Boxes
Price
1
2
3
4
10
15
18
4.50
9.00
13.50
18.00
45.00
67.50
?
A
y - 4.50 = 18
B
4.50y = 18
С
4.50 x 18 = y
18y = 4.50
I’m
5Please help!! Geometry, will mark brainliest!
is -x^2y^2 + 9x^4y^2 + 5x^2y^3 a monomial binomial or trinomial
Answer:
Trinomial
Step-by-step explanation:
when you add like terms you still have 3 sets of different symbols 3= trinomial.
What is the average rate of change between x = 10 and x = 30
Answer:
everyone always asks "where's the toilet?" but no one ever asks "how's the toilet?" :'(
Step-by-step explanation:
Find the value of x. Write your answer in simplest form.
What is 5/8-1/8 in the simplest form
Answer:
1/2
Step-by-step explanation:
consider the system of equations
y = 2/3 x + 1
y = x
what is the solution to the system?
A. (0,0)
B. (0,1)
C. (1,1)
D (3,3)
Answer:
Use your resources wisely
Step-by-step explanation:
Answer:
[tex] \frac{2}{3} x + 1 = x \\ \frac{1}{3} x = 1 \\ x = 3 \\ y = 3[/tex]
X=3,y=3
alex works for his father assembling clock motors he is paid a piecework rate of $8.50 per motor. this week he assembled 21 motors
Answer: $178.50
Step-by-step explanation:
If Alex is paid a piecework rate of $8.50 per motor, then;
Price per motor assembly = $8.50
By assembling 21 motors Alex gets,
1 motor = $8.50
21 motors = (21 * $8.50) / 1
= $178.50 / 1
= $178.50
By assembling 21 motors,
Alex gets $178.50
You want to buy a new phone that costs $1250. Your cell phone plan allows for 15% off the price of any new phone. How much will you pay?
Answer:
$1187.5
Step-by-step explanation:
Cost of cellphone =$1250
15 percent of 1250 is =62.5
so,
1250-62.5=1187.5