[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.
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answer: 69
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The x coordinate of vertex J and L are same of x= -2, JL // Y axis
Height is the perpendicular segment (KD) from K to JL, KD // X axis
area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18
Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
slope-intercept form:
[tex]y=mx+b[/tex]
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
[tex]3x+y=-5[/tex]
In this case, all you need to do is subtract 3x from both sides.
[tex]y=-3x-5[/tex]
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
[tex]y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8[/tex]
Finally, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=-3x-8[/tex]
BRAINIEST IF CORRECT
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
V12
Answer:
The side of an equilateral triangle equals:
2 * height / sqr root (3)
side = 2 * sqr root (12) / sqr root (3)
side = 2 * 2 * sqr root (3) / sqr root (3)
side x = 4
Step-by-step explanation:
When z=−6, evaluate −2(z+9)−(−5) and −2⋅z−2⋅9+5 to show that −2(z+9)−(−5)=−2⋅z−2⋅9+5
Ignore this, I posted the wrong answer and I don't know how to delete it.
Answer:
Yes/true
Step-by-step explanation:
-2(z+9)-(-5)=-2⋅z-2⋅9+5
sostituisco la lettera dandogli un valore
=-2(-6+9)-(-5)=-2⋅(-6)-2⋅9+5
calcolo e tolgo le parentesi
=-2⋅3+5=12-18+5
Elimino i termini uguali
=-2⋅3=12-18
Somma e moltiplicazione tra i numeri
=-6=-6
find the height of the tree
Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.
Take the missing side as 'x'.
The corresponding sides here are,
■ 7 & 14 ft
■ 5 & x ft
7/14 = 5/x
7x = 5 × 14 (cross multiplication)
7x = 70
x = 70/7
x = 10 ft
Height of the tree = 10 ft.
_____
Hope it helps ⚜
If a recipe uses 5 cups of flour for every 2 cups of sugar, how much sugar is used for every 1 cup of flour?
2/5 cup of sugar
you divide 5 by 5 to get 1 cup of flour, and you divide 2 by 5 to get 2/5 cup of sugar
What is the value of x?
Answer:
a. 125
Step-by-step explanation:
the angle labeled "x" is supplementary with the angle that has a measure of 55°
Supplementary angles add up to equal 180°
This means that x + 55 must equal 180
Note that we've just created an equation that we can use to solve for x.
We now solve for x using the equation we just created.
x + 55 = 180
subtract 55 from both sides
x = 125
The answer is a
HURRY PLS!
Evaluate if a= 4 and b=7
28÷ b+7
A. 14
B. 11
Step-by-step explanation:
Hi, I think correct variant is B
(28÷7)+7=4+7=11
PLEASE HELP ASAP I REALLY NEED HELP
Evaluate the function for x = 2 and x = 7, when f(x) = -4x + 61
for x=2....value will be 53
for x=7.....value will be 33
brainliest......
Find a coordinate on the line.
y - 5 = 8(x + 2)
Question 3 options:
(8, 2)
(2, -5)
(-2, 5)
(-5, 2)
Answer:
(-2,5)
Step-by-step explanation:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil.
In order to make 1196 liters of Petrolyn oil, how many liters of natural oil are needed?
Answer:
it would need 40 liters of natural oil
8x5=40
Litter cleanup volunteers form 4 groups containing v volunteers
each. Then 10 more volunteers show up. The volunteers regroup
into 5 groups each containing 6 people. How many volunteers
were in each original group? Write an ALGEBRAIC EQUATION and solve to answer the question.
mom will let you know
Step-by-step explanation:
shes gone
Jill bought 7 pounds of melon and 0.9 pounds of cherries. How much fruit did she buy in all
Answer:
7.9 pounds of fruit
Step-by-step explanation:
In all means to add, so 7 + .9 = 7.9 pounds
two cards from an ordinary deck of 52 cards are lost at random. what is the probability that a random card from the resulting deck is a spade
Answer:
so theirs 4 suits so 1/4 but since you have 2 cards
its 1/2 or 50%
Hope This Helps!!!
ya this person is a bot be careful
charissa2
What is f ( x ) = 2x + 2
A .4
B . 2
C . -2
Pick only 1 answer !!! Thank you
Answer:
X = -1 (unsure as to how this is not an answer but I have checked my work)
Step-by-step explanation:
( f(x) = y )
1. y = 2x + 2
-2 -2
2. -2 = 2x
/2 /2
3. -1 = x
Goran runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Answer:
he can run 4.2 miles
Step-by-step explanation:
rate=distance/time
6 miles/50min =3/25 miles per min
rate=distance//time
3/25=distance/35
3/25 * 35 =distance
4.2 =distance
The Diamondbacks softball team orders a new baseball bat and pays $310.30 after tax. The tax rate is 7%. What is the original price of the baseball bat?
Answer: $255.58
Step-by-step explanation:
$310.30*0.07= $21.721
$310.30-$21.72= $255.579
Round
$255.579 --> $255.58
If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?
Work Shown:
time = distance/speed
time = (1.5 miles)/(3 mph)
time = (1.5/3) hours
time = 0.5 hours
time = 30 minutes
It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.
-12/5+3/10/11/14-(-9/14)
Answer:
-6/5
Step-by-step explanation:
I hope it helps, bye
The ordered pair (8,2) is found in the ____ Quadrant
Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answer:
$28
20 plus 40 percent
that's the answer
Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1
Answer:
Gracias por los puntos
Bye :v
PLEASE HELP!!
what is the intermediate step in the form (x+a)^2=b as a result of completeting the square for the following equation?
x^2-34=16x
Answer:
1: x =(16-√392)/2=8-7√ 2 = -1.899
2: x =(16+√392)/2=8+7√ 2 = 17.899
Step-by-step explanation: I found two solutions it’s either one or two.
I hope this helped :) I tried my best.
(88)(√75)
HELP ASAP....
Answer:
sqr75=sqr25*sqr3=5*sqr3
88(5*sqr3)
decimal = 762.10235533
Answer:
440√3Step-by-step explanation:
Given:
88√75Solution:
88•√(5^2 * 3)Rewrite the expression as:
88•(5√3)Multiply 88 into 5:
440√3762.102 ( 3 decimal place )Identify which line the error is in (1 point)
• Describe the error that was made (1 point)
State what the correct answer should be
Answer:
Step-by-step explanation:
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.
Answer:
b
Step-by-step explanation:
mark brainliest pls....
Which of the following expressions are equivalent?
1. 6(a + 2)
2. 6a + 12
3.(2a + 4)
A). Only expressions 1 and 2 are equivalent.
B). Only expressions 1 and 3 are equivalent.
C). Only expressions 2 and 3 are equivalent.
D). Expressions 1, 2, and 3 are equivalent.
HELP QUICCK PLSSS
Simplify the following expression.
Answer:
-1
Step-by-step explanation:
[tex]3 + \sqrt{10 - {3}^{2} } + - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = 4 - 5 \\ = - 1[/tex]
Answer:
-1
Hope you could get an idea from here.
Doubt clarification - use comment section.
Help on this algebra 2 question look at the pic. Is it’s A, B or C
Answer:
A is correct
Step-by-step explanation:
perimeter is twice the sum of the two adjacent sides
p = 2(x + (2x³ - 3x + 4))
p = 2(2x³ - 2x + 4)
p = 4x³ - 4x + 8