[tex] \: \: \: \: [/tex]
[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
Step-by-step explanation:
[tex]6.2 + 0.4x = 8.05[/tex]
move the constant to the right[tex]0.4x = 8.05 - 6.2[/tex]
calculate[tex]0.4x = 1.85[/tex]
divide both sides[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
hope it helps[tex] \huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]
[tex] \bf \huge \: Solution:—[/tex]
[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]
[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]
[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]
[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]
[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]
[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]
[tex]\sf \longmapsto0.4x=1.85[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]
[tex] \boxed{\bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]
[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]
[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]
[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]
[tex]\sf \longmapsto0.0256x=0.1184[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]
[tex]\sf \longmapsto \: x = 4.625[/tex]
[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]
[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]
[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]
[tex]\boxed{\bf \dfrac{37}{8}} [/tex]
[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]
[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]
What kind of slope does the graph have?
It has a positive slope.
when it starts at the bottom left like that and goes up it is positive. :)
Help me:) please and thanks
Answer:
The number is A 0.43
hoped that helped
solving the math function
Answer: the answer is C
Step-by-step explanation: trust me took the final yesterday ♀️
Answer:
C) [tex]f(x)=(x-1)^\frac{1}{2}[/tex]
Step-by-step explanation:
The graph shows a radical function that starts at (0,1). This must mean that the original function had been translated to the right one unit. Therefore, [tex]f(x)=(x-1)^\frac{1}{2}[/tex] is correct.
What is the solution to the equation? −12x=−3
Enter your answer in the box.
Answer:
The answer is 1/4 or 0.25
Step-by-step explanation:
The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3
So we can just divide -3 by -12 to find the answer.
-3 / -12 = 0.25
So the answer is 0.25 or 1/4 in fraction form.
Hope this helps! :)
૮ ・ﻌ・ა
Answer:
x = 1/4
Step-by-step explanation:
−12x = − 3
Step 1: Divide both sides by -12.
-12x/-12 = -3/-12
Answer:
x = 1/4
Use your scientific calculator to calculate the value of the following:3.5934×4.294Give your answer in decimal form and write all the digits on your calculator display.
Answer:
15.4300596
Step-by-step explanation:
Plz help me do this
Answer:
the rise is 6 and the run is 4
Answer:
The rise is 6 and the run is 4
ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.
Step-by-step explanation:
let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.
the slope BA = -1
as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).
the slope of CD = -1
as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).
so, both lines are indeed parallel.
the slope CB = +1
as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)
the slope of DA = +1
as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)
so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).
therefore, we have only 90° angles here.
and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.
therefore, this is a square.
and with that it is automatically also a rectangle and a rhombus.
A recipe calls for cup
3/4of milk to make 4
cookies. If Sarah wants to
cut the recipe in, 1/2how
much milk would she
need?
3/ 8
of a cup.
Explanation:
You want half of the recipe, so you want half of
3/4
of a cup.
Of means multiplication when it comes to fractions, so multiply
3/4 by 1/2 to get 3/4 ⋅ 1/2 = 3/8
0.69 is an integer true or false
Help I have no idea what to do
Answer:
false
Step-by-step explanation:
An integer is a whole number and 0.69 is not a whole number.
If today is Saturday, what day will it be 70 days from now?
Answer:
If today is Saturday, then after 70 days, we will be on a Saturday again.
Step-by-step explanation:
Basically, 70 days = 10 weeks
Which means: 1 week = 7 days
We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.
Hoped this helped.
Which of the following values for x will make relation A shown below a function?
A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
b) Solve x ^ 2 + 5x - 14 = 0
[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]
Answer:
x = -7 and x = 2
Step-by-step explanation:
x ^ 2 + 5x - 14 = 0 can be factored as follows: (x + 7)(x - 2). Note how 7x - 2x = 5x.
Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.
Solve for a, round your answer to the nearest hundredth:-3(a + 9) - 5(a - 5) = 8
Answer:
22
Step-by-step explanation:
3(a+9)-5(a-5)=8
3a+27-5a+25=8
3a-5a+27+25=8
-2a+52=8
-2a=8-52
-2a=-44
a=-44/-2
a=+22
The perimeter of the figure below is:
10
7
A. 35
B. 53
C. 56
D. 48
E. 36
Can i have help with these two problems.
Answer:
(11/7)x + (3/7)y
Step-by-step explanation:
Perform the indicated multiiplication. We get:
(6/7)x - (2/5)y + (5/7)y + (5/7)x
Now combine like terms, obtaining: (11/7)x + (3/7)y
An alternative expression would be (1/7)(11x + 3y)
A trucking company uses matrix A, shown below, to represent the driving time in hours for 6 trucking routes. A=[4686810]The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60A?
Answer:
The answer is 90A because.....
Step-by-step explanation:
The truck company is 90 miles an hour away so the matrix divided by two is 3 plus 6 again is 9 hoped is help you.
what is the slope of the line that goes through 11,2 and 14,16
Step-by-step explanation:
m = y2-y1/x2-x1
m = 16 - 2/ 14 - 11
m = 14/3
m = 14 / 3
Hope it helps.
solve pls brainliest
Marcus has picture with the dimensions of 3 ft wide and 5 ft long. He would like to change the picture using a scale factor of 1/2. What are the new dimensions for the picture and is the new picture a reduction or enlargement. Explain how you know. *
Answer:
Reduction: new dimensios are 1.5ft x 2.5ft
Step-by-step explanation:
Since he is using a scale factor of 1/2, we merely multiply everything by 1/2
3 ft * 1/2 = 1.5 ft
5 ft * 1/2 = 2.5 ft
It is obviously a reduction first since the scale factor is less than one, but you can also see that the dimensions decreased.
Answer:
The new dimensions are 1.5 ft wide and 2.5 ft long. The picture would be a reduction.
Step-by-step explanation:
Since the scale factor is less than 1 we know that the dimensions are smaller than the original. So we multiply 3 and 5 by 0.5. We get the new dimensions of 1.5ft wide by 2.5 ft long. Knowing this information we can conclude that the new picture is a reduction.
Madelynn makes the following statement: "Since I have 28 people that I defi-
nitely want to invite to my party, I might as well choose Party B and invite even
more people."
Was Madelynn correct to go with Party B and invite more people? Explain why or
why not.
Answer:
The only problem was that now it costs more so not really
Step-by-step explanation:
I think its an opinion question
generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19
what value should be placed in the second column for the range 6-10?
a. 2
b. 3
c. 5
d. 1
Answer:
D: 1
Step-by-step explanation:
There's only one number there between 6-10.
The equation of a line is y = 12x - 3. Write the equation of a line parallel to this line.
Answer:
y=12x+3
Step-by-step explanation:
when parallel the slopes need to be the same but the y-intercept has to change
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
Learn more about similar triangles on:
https://brainly.com/question/2644832
what is the answer for 4x<-28
Answer:
x < -7
Step-by-step explanation:
Divide both sides of the equation by the coefficient of x.
(4x)/4 < (-28)/4
x < -7
Answer:
x<-7
Step-by-step explanation:
Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes
Answer:
69
Step-by-step explanation:
it is 69 becuase 4x-7+11x-8 equals 69
We have: 2.(4x - 7)° + 2(11x - 8)° = 360°
So: 8x - 14 + 22x - 16 = 360°
<=> 30x - 30 = 360°
<=> 30(x - 1) = 360°
<=> x - 1 = 12
<=> x = 13°
We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°
The answer: ∠G = 135°
Ok done. Thank to me :>
What type of slope does the graph have!
Answer:
it either has a postive slope (when lines go uphill from left to right)
a negative slope (when lines go downhill from left to right)
a zero slope (when lines are horizontal)
or a undefined slope (when lines are vertical)
Step-by-step explanation:
hope this helps
Answer:
a negative slope of -2
Explanation:
slope = (y2-y1)/(x2-x1)
points (1,1) (0,3)
x1 = 0 y1 = 3
x2 = 1 y2 = 1
(1-3)/(1-0) = -2/1 = -2
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:dunno
Step-by-step explanation:
What is the slope of the line2y+x=-3. Write your answer in simplest form.
Answer:
x+2y=-3
Step-by-step explanation:
please help 50 pts and brainliest if correct
Answer:
C
Step-by-step explanation:
it makes sense yah?
Answer:
C) Three fourths of the fish he caught were less than 50.5 pounds
Maurice spent $12.00 of the $25.00 on a gift card. Which decimal represents the fraction the $25.00 Maurice spent?
Answer:
0.60
Step-by-step explanation:
25/2 = 12.5 wich means that it can't be 0.50 or lower so it has to be 0.60