Answer:
x = - 12
Step-by-step explanation:
- 10x + 1 + 7x = 37
- 3x + 1 = 37
- 3x + 1 - 1 = 37 - 1
- 3x = 36
- 3x ÷ - 3 = 36 ÷ - 3
x = - 12
Answer: x = -12
Step-by-step explanation: first you combine like terms/simplify the equation: -10x + 1 + 7x = 37 turns into -3x + 1 = 37.
then subtract 1 from both sides: -3x + 1 = 37 then -3x + 1 - 1 = 37 - 1 then -3x = 37 - 1 then -3x = 36.
then divide both sides of the equation by -3 and then you're done
Problem 3 : Using In the pattern in the image below , how many dots would be in Step 4
Answer: 13 dots
Step-by-step explanation:
You're basically adding 4 each time around, so number 1 is 1 dot, then number 2 is 5 dots because you added 4, number 3 is 9 dots because you added 4, etc.
Answer:
T4 = 13
Step-by-step explanation:
Using arithmetic progression
Tn = a + (n - 1)d
Where a - first term
n - n^th term
d - common difference
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information.
Answer:
0.5x = 25.5
Step-by-step explanation:
Peter was thinking of a number x, then he halves it's
In a sale of 30% discount, the selling price of a LED TV was AED 4200. Calculate the price of TV before sale.
Answer:
3000
Step-by-step explanation:
30%×100=3000
then the profit is=
4200-3000=1200
34. Find the mean for the following data X F 10 3 12 5 14 4 16 5 18 3
7
6. Which expressions are equivalent to (7 -x)+ 4?
as
he
s
A 7x + 4
B. 4 + (7.)
C. (x + 4
D. 4 (7-X)
Option c is correct formula
Help pls I give brainlest
Answer:
y = 1/2x - 3
Step-by-step explanation:
The line intercepts with the y-axis at -3 and its pattern is going right two and up one.
He surface area of a piece of paper is 692 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2. Give your answer as a number. Do not type the units in the space below.
Answer:
Surface area = 6.92 cm²
Step-by-step explanation:
Given the following data;
Surface area = 692 cm²
To convert the area in cm² to mm²;
Conversion:
10 mm to cm = 10/10 = 1 cm
1 mm² to cm² = 1/100 = 0.01 cm²
692 mm² to cm² = 692 * 0.01 = 6.92 cm²
Therefore;
692 mm² = 6.92 cm²
In conclusion, the surface area of the piece of paper is 6.92 square centimeters.
Please someone help me with this!
The sum of two numbers and their difference is 30.
A board 180 cm long is cut into two pieces such that 3 times the length of the larger piece is 85 cm longer than 4 times the length of the smaller piece. How long are the two pieces of board?
Answer:
smaller piece is 65cm
larger piece is 115cm
Step-by-step explanation:
let 's' = smaller piece
let '180-s' = larger piece
3(180-s) = 85 + 4s
540 - 3s = 85 + 4s
540 = 85 + 7s
455 = 7s
s = 455/7 which is 65cm
larger piece = 180-65 or 115cm
let A=(1,2,3,4,5)which of the following sets are equal to A?
1.=(4,1,2,3,5)
2.=(1,2,3,4,5,6)
3.(x:x is interger & xsquare ≤ 25)
4.(x:x is a positive integer and x ≤5)
5.(x:x is a whole number and ≤ 5)
Answer:
1. (4,1,2,3,5)
Step-by-step explanation:
Since all the members of set A are present in "1"
In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?
Answer:
50 boys
Step-by-step explanation:
The number of groups = 24
The average number of children = 16
The new average number of children when one group is added = 18
The ratio of boys to girls in the group that just joined = 5:6
The initial number of boys = 220
Let the initial number of children
The initial total number of children = 24 × 16 = 384
The initial number of girls = 384 - 220 = 164
The final number of children = 25 × 18 = 450
The number of children in the group that joined in the game = 450 - 384 = 66
The ratio of boys to girls in the group = 5:6
Therefore, we get;
The number of boys = 66 × 5/11 = 30
The number of girls = 66 - 30 = 36
The number of boys at the end = 220 + 30 = 250
The number of girls at the end = 164 + 36 = 200
The number of more boys than girls at the end = 250 - 200 = 50
The number of more boys than girls at the end = 50 boys
Identify the least common multiple of:
(x + 1), (x - 1), & (x^2 - 1)
Given:
The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex].
To find:
The least common multiple of given expressions.
Solution:
The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex]. The factor forms of these expressions are:
[tex](x+1)=1\times (x+1)[/tex]
[tex](x-1)=1\times (x-1)[/tex]
[tex](x^2-1)=(x-1)(x+1)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
The least common multiple is the product of all distinct factors with its highest degree. So,
[tex]L.C.M.=1\times (x+1)\times (x-1)[/tex]
[tex]L.C.M.=(x+1)(x-1)[/tex]
[tex]L.C.M.=x^2-1^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]L.C.M.=x^2-1[/tex]
Therefore, the least common multiple of given expressions is [tex]x^2-1[/tex].
Prove that A - B = A-(A n B) using a Venn diagram
Step-by-step explanation:
my answer is an image above
solve it : -
[tex] \sqrt{18 \times 2} [/tex]
________
Answer:
6
Step-by-step explanation:
sqrt(36)
sqrt(6^2)
6
Answer:
6
Step-by-step explanation:
18 * 2 = 64
√64 = 6
the decimal expansion of the number 2 1 / 2
Answer:
[tex]{ \tt{ = 2 \frac{1}{2} }} \\ \\ = \frac{5}{2} \\ \\ { \tt{ = 2.5}}[/tex]
Solving equations:
(a) 5x - 9 = 3x + 3
(b) x + 6 = 34 - x
Answer:
a) 5x - 9 = 3x + 3
5x - 3x = 3 + 9
2x = 12
x = 12 / 2
x = 6
b) x + 6 = 34 - x
x + x = 34 - 6
2x = 28
x = 28 / 2
x = 14
[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]
HOPE IT HELPS!!!I NEED BRAINLIEST ✌️ PLZWill give BRAINLIEST to correct answer.
Triangles ABC and DEF are similar triangles. Solve. Round to the nearest tenth.
Find the height of triangle DEF.
Answer:
3.3 m
Step-by-step explanation:
the height = 2/3 × 5 = 10/3 = 3.3 m
Please delete my answer. I made a mistake
Which table of ordered pairs represents a proportional relationship?
х
-2
4
-6
y
4
16
36
х
-4
-6
-8
y
-8
-12
-18
o
х
-3
-5
-7
y
5
3
1
O
х
-3
-6
-9
y
12
24
36
Answer:
x=-3×-5×-7
-3×-5=15
15×-7=-105
=-105
One evening the Scotts went to the Chalet Restaurant for
dinner. The bill was $67.65. Mr. Scott paid with four $20 bills.
How much change should he have received?
Given:
Total bill = $67.65
Mr. Scott paid with four $20 bills.
To find:
The amount of change he have received.
Solution:
It is given that, Mr. Scott paid with four $20 bills. So, the total amount paid by him is:
[tex]\$20\times 4=\$80[/tex]
Total bill = $67.65
Now,
Amount of change = Total amount paid - Total bill
= $80 - $67.65
= $12.35
Therefore, he should have received $12.35.
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
NEED HELLPPPPP !!!!
Answer:
x = 14
Step-by-step explanation:
Triagle GIA and Triangle GNT are congruent.
if( 1 ,2 )and( 3 - 2)
are the two end point of a diameter of circle find the coordinates of the centre
Answer:
(2,0)
x-value: [1+3]/2 = 4/2 = 2
y-value: [2+-2]/2 = 0/2 = 0
Step-by-step explanation:
Does anyone know the answer to this question ?
Answer:
12/25 = 48/100 = .48 = 48%
Step-by-step explanation:
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2,3) is reflected across both the x- and y-axes. The coordinates after both reflections are X'( ), Y'( ), and Z'( ).
Answer:
X'(-3, -2), Y'(-5, 1), and Z'(2, -3)
Help
Will
Give
Brainlist
:)))
B : 7.9......................
Answer:
7.9
Step-by-step explanation:
15 + 12 + 5 + 9 + 7 + 2 + 5
55
55 ÷ 7
[tex]\frac{55}{7}= 7\frac{6}{7}=7.85714285714[/tex]
7.85714285714 rounds to 7.9
A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.) find the
number of bacteria after 13 hours
Answer:
k=.25068
Step-by-step explanation:
450 = 100 [tex]e^{6k}[/tex]
4.5 = [tex]e^{6k}[/tex]
ln(4.5) = 6k
k= ln(4.5)/6
k=.25068
The number of bacteria after 13 hours will be 2579.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that a biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favourable growth medium. Six hours later, he measures 450 bacteria.
The bacteria after 13 hours will be calculated as,
[tex]N=100(e)^{13\times 0.25)[/tex]
[tex]N = 100\times e^{3.25}[/tex]
N = 2579.
Therefore, the number of bacteria after 13 hours will be 2579.
To know more about an exponential expression follow
https://brainly.com/question/12940982
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A = (1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = (1, 5, 6, 7, 9)
A U B=
Answer: Choice C) integers from 1 to 10 inclusive
==============================================================
Explanation:
The "U" means "set union". We form a larger set that contains any number that's in set A, set B, or both.
So,
A U B = {stuff from set A, stuff from set B}
A U B = {1,3,5,7,9, 2,4,6,8,10}
A U B = {1,2,3,4,5,6,7,8,9,10}
A U B = set of integers from 1 and 10 inclusive
That makes choice C the final answer.
Choice B is very close to it, but that verbally describes the set {2,3,4,5,6,7,8,9} which leaves out 1 and 10. The "inclusive" makes sure to involve the endpoints 1 and 10, as well as everything in between.
A triangle has side length 3,8 and 9. Find the angle measurement for the angle cross from the side with length of 8.
Answer:
The angle measurement is 61.218°
Step-by-step explanation:
I used a triangle calculator
The product of a number x and four decreased
by twelve.
Which of the following is an expression for the
statement above
a/4x+12
b/4(x+12)
c/4(x-12)
d/4x-12
Step-by-step explanation:
a. increased b. discreased c. increased d. decreased
28 days = ? Weeks 339 days = ? Months 14 months = ? Days 8 weeks = ? Days 90 days = ? Months 3 minutes = ? Seconds 3days = ? Hours 48 days = ? Days 5 minutes = ? Seconds
Answer:
28 days = 4 weeks
339 days = 11 month
14 months = 420 days
8 weeks = 56 days
90 days = 3 months
3 minutes = 90 seconds
3 days = 72 hours
48 days = 48 days
5 minutes = 300 seconds