Answer:
-20 = - 20
Step-by-step explanation:
Suppose the number is x
three less than a number means x - 3 which is equal to 14 more than twice a number means 2x +14.
So we can write
x - 3 = 2x +14 - - - - - A
subtract x from both sides
x - x - 3 = 2x - x +14
-3 = x +14
Subtract 14 from both sides
-3 - 14 = x +14 - 14
-17 = x
Or x = - 17
Now can verify our answer by putting the value of x in Eq A
-17 - 3 = 2 x (-17) +14
-20 = - 34 +14
-20 = - 20
I hope this helps. :)
describe what congruent figures and similar figures have in common
Answer:
Congruent figures have the same measurements in angles (degrees) and sides (units).
Similar figures are figures that have the same general shape and don't necessarily have to have the same size or measurements.
Something they have in common are corresponding angles and corresponding sides.
Use your knowledge of special cases to solve the problem.
( 3a - 2b )2 = ??
a) 9a^2 + 12ab + 4b^2
b)9a^2 - 4b^2
c)9a^2 - 12ab + 4b^2
Answer:
C
Step-by-step explanation:
We want to simplify:
[tex](3a-2b)^2[/tex]
Recall the perfect square trinomial pattern:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Let a = 3a and b = -2b. Thus:
[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]
Simplify:
[tex]=9a^2-12ab+4b^2[/tex]
Our answer is C.
A right rectangular prism is shown with some measurements given in units. The length of the diagonal from point a to point B is 13 units
Answer:
Step-by-step explanation:
The diagonal of a three dimensional rectangle is defined as
d^2=x^+y^2+h^2 solving for h
h^2=d^2-x^2-y^2
h^2=13^2-3^2-4^2
h^2=169-9-16
d^2=144
d=12
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)? O A. (2,4) O B. (1,4) O C. (1,2) O D. (2, 2)
Answer:
C) (1, 2)
Step-by-step explanation:
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]= (\frac{-2+4}{2},\frac{-2+6}{2})\\\\=(\frac{2}{2},\frac{4}{2})\\\\=(1,2)[/tex]
PLEASE HELP WILL ADD BRAINLIEST!!!!!!
The area of a rectangle can be represented by the expression
x^2+2x-3
If the dimensions of the rectangle are known to be the factors of the expression, write each dimension of this rectangle as a binomial. (Write the two binomial factors that you are mulitplying together to get the area).
Answer:
I believethe answers are (x-1)(x+3)
Step-by-step explanation:
x^2 + 2x - 3 can be simplified to
(x+3)(x-1)
The factors of this expression are therefore (x+3) and (x-1)
The binomial of each dimension is:
x+3
x-1
What is the value of X?
A. 6
B. 6√3
C. 12
D. 12√3
Answer:
B
Step-by-step explanation:
sin60°=x/12
⇒x= 6√3
Two similar triangles are shown. Triangle X Y Z is reflected across a line and dilated to form smaller triangle Q A G. ΔXYZ was dilated, then _____________, to create ΔQAG. translated reflected dilated rotated
Answer:
The answer is reflected . Triangle XYZ was dilated, then reflected to create triangle QAG. Explanation :-A dilation is a rigid transformation which creates a similar image as the real shape but with different size. A reflection is a rigid transformation which creates a mirror image of the original shape without changing its size.
Step-by-step explanation:
Answer
Reflected
Step-by-step explanation:
Took test EDGE 2021X
A picture is 5 inches wide and 8 inches tall:
A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged?
Answer:
area = 250 in²
Step-by-step explanation:
5 x 2.5 = 12.5 in
8 x 2.5 = 20 in
area = 20 x 12.5 = 250 in²
Question 7 of 10
What is the slope of the line shown below?
10+
O A. -2
5+
B. 6
(2, 2)
5
10
15
.102
SUBMIT
Answer:
Slope = 2Step-by-step explanation:
co-ordinates = (2,2) and (-1,-4)
Slope = (y² - y¹) / (x² - x¹)
= (-4 - 2) / (-1 - 2)
= -6 / -3
= 6/3
= 2
Pls help pls pls pls pls URGENT!!!!!!!!
PLS SOMEONEEEEE
Answer:
1. 51
2. 30
Step-by-step explanation:
I need some help on this if possible
where C is the circumference, d is the diameter and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.
If you are given the diameter then use the formula C = πd
If you are given the radius then use the formula C = 2πr
Step-by-step explanation:
What improper fraction is equal to 8 1/6?
Answer:
Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/
45
= 4 16/
45
≅ 4.3555556
hope this helps you
Step-by-step explanation:
Jamie's company prepares a gift bag for each seat at an awards ceremony. The theater has 30 sections, each with 70 seats. Gift bags for 5 sections will have concert tickets. The rest of the gift bags will have coupons. How many gift bags will have coupons?
Answer:
Step-by-step explanation:
30(total num of sections)-5(amount of sections with concert ticket)=25
25x70(seats per section)=1750
1750 will get coupons
(you dont need the bits in brackets tehy are there to just explain so you know whay and why im doind a calculation)
Hence, the bags will get coupons are [tex]1750[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Jamie's company prepares a gift bag for each seat at an awards ceremony. The theater has [tex]30[/tex] sections, each with [tex]70[/tex] seats. Gift bags for [tex]5[/tex] sections will have concert tickets. The rest of the gift bags will have coupons.
Total number of sections are [tex]30[/tex]
Amount of sections with concert tickets are [tex]5[/tex]
So,the gift bags will have coupons is
[tex]30-5=25[/tex]
As each sections has [tex]70[/tex] seats so,
[tex]25[/tex] x [tex]70[/tex] [tex]=1750[/tex]
Hence, the bags will get coupons are [tex]1750[/tex].
To know more about the simplification
https://brainly.com/question/12795317
#SPJ5
Multiply. Express in lowest terms. If you can simplify, what is the GCF you used ? what is 18 x 1/3
Answer:
Question 2 is 6
Step-by-step explanation:
I don’t understand what your asking on if you can simplify what is the GCF
Sam borrows from the bank $12,000 to buy a car paying in simple interest $ 2,844 per year. Sam paid the loan in 3 years, what is the annual interest rate on the loan?
Answer:
3,468
Step-by-step explanation:
i multiplied 2,844 by 3 and got 8,532 i then subtracted that from 12,000 and got 3,468
Please help me! I’m giving brainliest to whoever is right first
Answer:
y = 10
x = 17
Step-by-step explanation:
4y - 3 = 37
4y = 37 + 3
4y = 40
y = 40 / 4
y = 10
3x - 9 = 42
3x = 42 + 9
3x = 51
x = 51 / 3
x = 17
Hope that helps!
Answer:
x = 17
y = 10
Step-by-step explanation:
Parallel sides are equal in length, so set them equal to each other.
3x - 9 = 42 --> Add 9 to both sides.
3x = 51 --> Divide both sides by 3.
x = 17
4y - 3 = 37 --> Add 3 to both sides.
4y = 40 --> Divide both sides by 4.
y = 10
At a sale, coats were sold for 52% of their original price. If the coats originally cost $200 each, how much did a coat cost on sale?
Answer is 104
Step-by-step explanation:
Please help guys I don’t need nomore scammers
A number is 9 more than another number. Twice the sum of the two numbers is 10. Find the two numbers.
Step-by-step explanation:
the formula can be;
X+9x=10
10x=10X=10/10=1
X=1+9(1)=1+9=10 Answer
Find the interest
earned:
$4,000 for 4 years at
5% annual simple
interest
Answer:
Step-by-step explanation:
Answer:
I = $ 800.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 4000 × 0.05 × 4 = 800
I = $ 800.00
The simple interest accumulated
on a principal of $ 4,000.00
at a rate of 5% per year
for 4 years is $ 800.00.
hope it helps :)
Solve for the measure of c. Round decimals to the nearest tenth.
A. 3.7
B. 7
C. 8.8
D. 4.7
There is a bag filled with 2 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
Question:
A bag with 2 blue (B), 4 red (R) and 5 green (G) marbles (total 11 marbles).
Two are drawn at random without replacement.
Find probability of getting two marbles of same colour.
Solution:
We can get either 2B, 2R or 2G as successful outcomes.
To get two blue marbles (2B),
probability of the first one being blue = P(B)=2/11
probability of the second blue marble = P(-B)=1/10 (one left out of 10 left)
Probability that both are blue (use multiplication rule)
P(2B)=(2/11)(1/10)=2/110
Similarly, for two red marbles
P(2R)=(4/11)(3/10)=12/110
and for two green marbles
P(2G)=(5/11)(4/10)=20/110
Since all three events 2B, 2R and 2G are mutually exclusive, the probability
that any one can happen is the sum of the individual probabilities, thus
probability of getting two marbles of the same colour (without replacement)
=P(2B)+P(2R)+P(2G)
=2/110 + 12/110 + 20/110
=34/110
= 17/55
Step-by-step explanation:
4/11
hope this helps
D 122x - 123y + 124
An ice cream shop sells 24 scoops of vanilla ice cream and 42 scoops
of chocolate ice cream. What is the ratio of vanilla scoops to total scoops
of ice cream sold?
Answer:
24:66
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
20%
Step-by-step explanation:
9/45
Which fraction is equivalent to
-(7/8)?
Answer:
35/40
I think that’s what you mean? Hope this helped
Step-by-step explanation:
There are 4 consecutive even integers that add up to 268. Which integers are they?
Answer:
4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.
Step-by-step explanation:
Hope this helps :)
Reagan grew 30 plants with 6 seed packets. With 7 seed packets, how many total plants can
Reagan have in her backyard? Assume the relationship is directly proportional.
plants
Submit
Answer:
35
Step-by-step explanation:
6 x 5 = 30
We can assume each seed packet has 5 seeds
6 x 7 = 35
If a number is increased by 4, its square is increased by 64. Find the number
Answer:
12
Step-by-step explanation:
12 - 4 = 8
The square of 8 is 64
Answer:
6
Step-by-step explanation:
(n + 4)^2 = n^2 + 64
n^2 + 8n + 16 = n^2 + 64
8n = 48
n = 6
Solve for the nearest whole number
Solve for the missing angle
Answer:
33°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{11}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{6}{11}[/tex] ) = 33° ( to the nearest whole number )
How to graph absolute value functions?
Answer:
DJthresh
ugh yet the wasn't Hagel