the sum of three consecutive even numbers is 42. what is the smallest of these numbers
[tex]\qquad[/tex]____________________
It’s given–
The sum of three consecutive even numbers is 42.[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)
The smallest of these numbers is 12. And the next two integers we find with 12+2=14 and 12+4=16.[tex]\qquad[/tex]____________________
Given :
Sum of three consecutive even numbers is 42. We are to find the smallest of the smallest consecutive even number.[tex] \: [/tex]
Solution :
Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .
So,
According to the Question :
x + (x + 2) + (x + 4) = 42
⇢x + x + 2 + x + 4 = 42
⇢ x + x + x + 2 + 4 = 42
⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12
Hence, 12 is the smallest consecutive even number.
Nam
20. Carol bought 5 pork chops and 3 steaks.
Each pork chop weighed 0.32 pound
and each steak weighed 0.8 pound. How
Temand
many pounds of meat did Carol buy in
telall?
Answer: Carol bought 4 pounds(lb) of meat.
Explanation: 0.32 x 5 = 1.60, and 0.8 x 3 = 2.40, and 1.60 + 2.40 = 4.
The weight of the meat bought by Carol is 4 pounds.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that Carol bought 5 pork chops and 3 steaks. Each pork chop weighed 0.32 pounds and each steak weighed 0.8 pounds.
The weight of the meat will be calculated as:-
0.32 x 5 = 1.60,
0.8 x 3 = 2.40,
Total weight,
1.60 + 2.40 = 4 pounds
Therefore, the weight of the meat bought by Carol will be 4 pounds.
To know more about an expression follow
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Mary Alice is making a curtain for her kitchen window. She bought 2 1/12 yards of fabric. Her total cost was $16.
What is the COST PER YARD?
Answer:
7.68$
Step-by-step explanation:
2+(1/12)=2.08
16/2.08=7.68
Answer:
6.4
Step-by-step explanation:
Solve for x given that AC = 4, CE = 8, AB = X - 8, and BD = 2.
What is the measurement of AB?
an object has a mass of 24 grams and a volume of 6cm3. what is the density
Answer:
4 grams
Step-by-step explanation:
What is the area of a rectangle that has side lengths of 7 yard and yard?
10 square yard
18
20
square yard
15
24 square yard
8
square yard
My Progress
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is it like mutiplying and dividing
The area of the rectangle that has side lengths of 7 yards and 3 yards is 21 square yards.
What is the rectangular shape?Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.
To find the area of the rectangle that has side lengths of 7 yards and 3 yards, use the formula as described below,
the area of the rectangle = length x width of the rectangle.
Substituting the value of the side lengths to the formula,
The area of the rectangle = 7 x 3
The area of the rectangle = 21 square yards.
Therefore, the area is 21 square yards.
To learn more about the rectangular;
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The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
If it takes 7.1 pounds of seed to plant one acre of grass, how many acres can be planted with 7.81 pounds of seed?
Answer: make me brainlist
Step-by-step explanation: 1.1 x
What are the consecutive numbers that follow the number 686
Answer:
687, 688, 689, 690, ...
Step-by-step explanation:
Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...
687, 688, 689, 690, ...
Question Progress
Homework Progress
2111
跟多
I count on in equal steps,
My fourth number is 39, my fifth number is 43.
2
39
43
What is my first number?
Anyone know?
common difference=d=43-39=4
We need first term a
[tex]\\ \sf{:}\dashrightarrow a_5=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+4d=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+4(4)=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+16=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a=27[/tex]
What reaction did Pocahontas's people have to her helping the Jamestown colonists?
Answer:
They were very angry about her helping the colonists.
Step-by-step explanation:
Approximately what portion of the box is shaded blue?
A.2/3. B.9/10
C.3/5
Which equation is modeled on the number line below?
Answer:
A
Step-by-step explanation:
You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.
Hope this helps!
The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?
Answer:
Mr. Pham should expect about 45165 books to have no damage or minor damage.
Pls pls pls pls pls pls pls pls ahh
Answer:
DO YOURE WORK!
Step-by-step explanation:
Please.
A catering company orders 150 lb of fresh clams for a banquet serving 100 people, and 30 lb of clams for dinner party of 20 people. Determine the standard number of clams per serving.
Answer:
about two clams per person
Step-by-step explanation:
Answer:
It is 1.5 lb per serving.
Step-by-step explanation:
Well, this is just a matter of proportions.
Here is our current proportion:
150lb
---------
100 guests
Now, all we need to do is make it per one guest.
150lb = x lb
----------- ---------------
100 guests = 1 guest
Now, to get from 100 to 1, I divided by 100, right?
So, because this is a ratio, and it needs to be proportional, we do the same for 150.
150/100=1.5.
It is 1.5 lb per serving.
5. (5 points) Write the first 5 terms of the sequence if a1 = 9 and an-1 +n
Answer:
9,4,-1,-6,-11
Step-by-step explanation:
When n = 1: a(1+1) =a(1) +1
a(2) = -9 +1
a(2) = -8
When n = 2: a(2+1) =a(2) + 2
a(3) = -8 + 2
a(3) = -6
When n = 3: a(3+1) = -6 + 3
a(4) = -3
Tessa feeds her dog,Roscoe 3 3/4 cups of dog food per day.if she buys a bag of food that contains 165 cups, how many days will the bag last?
The triangles pictured below are:
Congruent by AAS
Congruent by AAS
Congruent by HL
Congruent by HL
Congruent by SSS
Congruent by SSS
Congruent by SAS
Congruent by SAS
Congruent by ASA
Congruent by ASA
Not Congruent
Not Congruent IMAGE BELOW
Answer:
NOT CONGRUENT
Step-by-step explanation:
Angle Side Side doesnt work so it is not congruent
Please help me!!! I will try to give brainliest
Answer:
Slope-intercept form: y = -3x/5 - 3
Point slope form: y = -3/5 (x + 5)
Standard form: 5y + 3x = -15
Step-by-step explanation:
Using points (-5, 0) and (0, -3)
Gradient of the line = (-3-0)/(0+5)
= -3/5
Slope intercept form; y = mx + c
when x= 0 , y = -3
therefore intercept on y axis = - 3
y= -3x/5 - 3
Point slope form: y - y1 = m (x - x1)
y - 0 = -3/5 (x + 5)
y= -3/5 (x+5)
Standard form: ax + by = c
y= -3/5 (x + 5)
5y = -3(x + 5)
5y= -3x - 15
5y + 3x = -15
y<-2/3 x-1 graphing the inequality
Answer:
y < − 2/3x − 1
Step-by-step explanation:
Solve for x, rounding your answer to two decimal places.
х=log,75
Answer:
x=1.88
Step-by-step explanation:
Increasing y = - 12× + 4
pls help meee
6.) in a repeating musical pattern, there are 56 beats in 7 measures. How many measures are there in 104 beats?
Answer:
23 measure
Step-by-step explanation:
because 56/7 = 8
so 104/8=23
Answer:
13 measures
Step-by-step explanation:
for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.
Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.
104 ÷ 8 = 13
−4x − 10x what is the answer??????
Answer:
-14x
Step-by-step explanation:
Good morning! May somebody help me as soon as possible? Like ASAP ASAP possible
Answer:
i hope you'll understand
Step-by-step explanation:
[tex] - x - 2y = 5 \\ 3x + 2y = 9 \\ - x - 2y - 5 = 3x + 2y - 9 \\ - 4x - 4y - 4 = 0( \div by \: - 1) \\solution 4x + 4y = 4[/tex]
solve for x . Help me solve them
[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]
Miriam has 3 packages of pencils. Each
package has 6 pencils. She needs an
eraser for each pencil. How many erasers
will she need to buy?
Tell which OPERATIONS you will use. Then
solve the problem. (Very important).
Answer:
18
Step-by-step explanation:
you will use multiplication
3(packages of pencils)×6(pencils)=18pencils
so she will need 18 erasers for each pencil
Please help me it's due in 5 minutes!! I will give brainliest!
Answer:
[tex]110 + 11w[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]11(10 + w)[/tex]
[tex](11 * 10) + (11 * w)[/tex]
[tex]110 + 11w[/tex]
Answer: [tex]110 + 11w[/tex]
What is the answer for 3(x+9)-4x=11x-13x+23. Is this true or false statement?
[tex]3(x+9)-4x=11x-13x+23\\<=>3x+27-4x-11x+13x-23=0\\<=>x+4=0\\<=> x= -4[/tex]
Answer: this's true statement.
ok done. Thank to me :>