please help solve with step by step process.
3x + 4.7 < -1.5x + 6.5
Answers
Answer:
x < .4
Step-by-step explanation:
Please mark Brainliest when you’re able :)
Answer:
Step-by-step explanation:
Step 1 - replace the < with an =
3x + 4.7 = -1.5x + 6.5
Step 2 - subtract 4.7 from each side, and add 1.5x to each side
3x + 1.5x = 6.5 - 4.7
4.5x = 1.8
Step 3 - divide each side by 4.5
x = 1.8/4.5
x = .4
Step 4 - change the = back to <
x < .4
Just make sure when you do it this way you check the answer because if you solved by subtracting 3x and subtracting 6.5 you would end up with .4 = x this .4 < x which is false. So depending what number you get always plug in a number bigger and smaller into the original to check. In this case 0 and 1 work.
3(0) + 4.7 < -1.5(0) + 6.5
4.7 < 6.5 which is true.
3(1)+ 4.7 < -1.5(1) + 6.5
3+4.7 < -1.5 + 6.5
7.7 < 5 which is false
So we know the direction on our < is right.
Related Questions
Factorize the following
2x+10
Answers
Answer:
2 ( x + 5 )
Step-by-step explanation:
Factor 2 out of 2 x + 10
.
A company sells phone cases for $15 each. At the end of the week, they have sold $570 worth of phone cases. How many phone cases did they sell? Write and solve an equation to find the answer.
a. What is the equation that represents this problem?
b. How many phone cases did they sell?
Answers
Answer:
They sold 38 phone cases.
Step-by-step explanation:
The equation I used to solve is
[tex]570 \div 15[/tex]
help please fast brainest to whos right
Answers
Answer:
I don't have a calculator but do 5x=100
answer is 20
Step-by-step explanation:
i need the answer to 14+3c=35
Answers
Hope this helps!! <3
Answer:
c = 7
Step-by-step explanation:
14 + 3c = 35
Move the constants to the right.
3c = 35 - 14
Calculate.
3c = 21
Divide both sides.
c = 7
Determine the slope of the line that passes through the points
(-2, 3) and (2, -4).
Answers
Answer:
-7/4
Step-by-step explanation:Slope (m) =
ΔY
ΔX
=
-7
4
= -1.75
θ =
arctan( ΔY ) + 360°
ΔX
= 299.74488129694°
ΔX = 2 – -2 = 4
ΔY = -4 – 3 = -7
Distance (d) = √ΔX2 + ΔY2 = √65 = 8.0622577482985
Equation of the line:
y = -1.75x – 0.5
or
y =
- 7 x
4
– 1
2
When x=0, y = -0.5
When y=0, x = -0.28571428571429
you deposit 5,000 dollars into a savings account with 3% interest. How much money will you have in 10 years
Answers
Answer:
6,719.58
Step-by-step explanation:
What force is necessary to accelerate a 1250 kg car at a rate of 40 m/s2?
Answers
Answer:
F=ma
F=1250*40
F=50000N
Given the tunction g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true concerning these two values.
The value of g(2) is larger than the value of g(-4).
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Answers
g(-4)=4•(-4)-5=-21
So the answer is the value of g(2)is smaller than the value of g(-4)
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of Five-fourths. Her scale drawing is a 2 and one-half-inch by 5-inch rectangle. The print shop says that the scale drawing is a reduction of the original card because the original card must be 3 and StartFraction 1 over 8 EndFraction inches by 6 and one-fourth inches. Which explains the print shop's error and gives the correct dimensions of Beth's original card?
Answers
Answer:
The width and length of the old card are 2 inches and 4 inches respectively.
Step-by-step explanation:
The given scale factor, [tex]C=\frac{5}{4}[/tex]
She draws is a rectangle by using the scale factor of C.
The width of her drawing, [tex]b=2\frac{1}{2}[/tex] [tex]=\frac{5}{2}[/tex] inch, and
the length of the drawing, [tex]a=5[/tex] inch.
Let [tex]a'[/tex] and [tex]b'[/tex] be the length and width of her reference business card (the old one as mentioned).
[tex]\text{Scale factor}=\frac{\text{New dimension}}{\text{Reference dimention}}[/tex]
Here, the dimension is the length of the sides of rectangular cards.
So, [tex]C=\frac{a}{a'}[/tex] and [tex]C=\frac{b}{b'}[/tex]
[tex]\Rightarrow \frac{5}{4}=\frac{5}{a'}[/tex]
[tex]\Rightarrow a'=4[/tex] inch
and [tex]\frac{5}{4}=\frac{5/2}{b'}[/tex]
[tex]\Rightarrow b'=2[/tex] inch
So, the old business card is of the dimensions 2 inches by 4 inches, which are the correct dimensions.
Actually, the print shop multiplied he scale-factor, C, with the new scaled length to get the reference length (lengths of original old card), which was the error. In, fact, as already described earlier, the new dimensions can be obtained by multiplying the scale-factor, C, with the reference dimensions.
Answer:
C. The scale factor is a fraction so the scale drawing is a reduction, and the original card is 2 inches by 4 inches.
Step-by-step explanation:
A local store sells bags of game pieces with various colors. four out of every 19 pieces are red. The store sold a bag with 76 game pieces. What number of the game pieces are red?
Answers
There are 16 game pieces are red.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given:
Total game pieces = 76
Four out of every 19 pieces are red.
So, number of rounds
= 76/19
= 4
Then, number of red pieces= 4x4=16
Hence, there is 16 red pieces.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
You are creating identical treat bags using 18 chocolate bars and 30 peanut butter cups. What is the GREATEST number of bags you can fill equally using all the treats? *You will upload a photo of your work for questions 12 and 13 at the end of the test. *
Answers
Answer:
The answer is 6.
Step-by-step explanation:
To find the greatest number of bags we can fill equally while using all the treats, we need to find the common denominators of 18 and 30.
After calculating it, we can see that if we fill six bags with both treats distributed equally, we will have used all the treats. 3 chocolate bars and 5 peanut butter cups for each bag.
I hope this answer helps.
f(x) = 2[[X-3.5]] : What is f(2)?
Answers
Answer:
f(2)= -3
Step-by-step explanation:
f(x)= 2 [x-3.5]
f(2)= 2[2-3.5] substitute all of your "x" for the number "2" f(2)=2[ -1.5] 2-3 is -1.5
f(2)= -3 2 times -1.5 is -3
The value of f(2)= -3
Calculation of the value of f(2):Since f(x) = 2[[X-3.5]
So,,
f(x)= 2 [x-3.5]
f(2)= 2[2-3.5]
f(2)=2[ -1.5]
f(2)= -3
Learn more about the number here: https://brainly.com/question/20694799
There are 130 people in a sport centre. 65 people use the gym. 51 people use the swimming pool. 44 people use the track. 15 people use the gym and the pool. 14 people use the pool and the track. 10 people use the gym and the track. 1 person uses all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?
Answers
Answer:
0.285
Step-by-step explanation:
Total peoples are, n=130
Number of people who use gym =65
Number of people who use swimming pool =51
Number of people who use the track =44
Number of people who use the gym and the pool =15
Number of people who use the pool and the track =14
Number of people who use the gym and the track =10
Number of people who use the gym, the pool, and the track =1
So, the number of people who use the gym and the pool =15-1=14
The number of people who use the pool and the track =14-1=13
The number of people who use the gym and the track =10-1=9
Now, the people who use at least two facilities are the people who use 2 or 3 facilities, which is 14+13+9+1=37.
So, the number of favorable outcomes =37
Total number of sample space, n=130
Hence, the probability, P, that the 1 randomly selected person uses at least 2 facilities is as follows:
[tex]P=\frac{37}{130}=0.285[/tex]
Kendra is choosing bouquets of flowers for table centerpieces.
She decides to buy 40 bouquets for $120 because she thinks that price is a better value than 40 bouquets for $2.50 each.
Explain Kendra’s error
Answers
Answer:
She messed up because if a bouquet costs $2.50 then 2.50 times 40 is $100 so she could have saved 20 more dollars
Answer:
Sample Response: To find the unit cost for her choice, divide $120 by 40 to get $3.00 per bouquet. This unit cost is more than the other deal.
Step-by-step explanation:
it was on edg and it told me that it was the right ↑↑
hope it helps :b
CHRISTMAS CAME EARLY!!!
You need to answer correctly or I will be very sad ;-;
What is x?
3x=12
Answers
Answer:
X=4
explanation:
4x3=12
HURRY JUST GIVE THE ANSWER PLZ!!!
Answers
Answer:
x = 41 C = 56
Step-by-step explanation:
If f(x) = x^3 + 6, what is the value of f(3)?
Answers
33 !!!!!!!!!!!!
Please help !!!!!!!
Find the sum of the interior Angle measures of the polygon.
Answers
217+37(3x−5)=−4 need help
Answers
Answer:
the answer is 111x+32
could you also mark me as brainliest?
Answer:
x = [tex]\frac{-12}{37}[/tex]
or
x = [tex]-\frac{12}{37}[/tex]
Step-by-step explanation:
If you are trying to find x:
1) Go by order of operations (PEMDAS)
217 + 37(3x - 5) = - 4
217 + 111x - 185 = - 4
111x + 217 - 185 = - 4
2) We Want to get 'x' by itself:
111x + 32 = - 4
- 32 = -32
---------------------
111x = - 36
[tex]\frac{111x}{111}[/tex] = [tex]\frac{-36}{111}[/tex]
(Simplify the expression)
x = [tex]\frac{-36}{111}[/tex]
(Both the numerator and denominator can be divided by 3)
x = [tex]\frac{-12}{37}[/tex]
or
x = [tex]-\frac{12}{37}[/tex]
(Both are the same)
how do you solve 42 = -2d + 6
also please describe how you do the work because not many people actually do that and it will be 10x more helpful. I'll give brainliest if you do.
Answers
this will be your Answer:
(-1-7f)to the power of 2
please explain
Answers
Answer:
The product to this problem is simplified to: [tex]1+14f+49f^{2}[/tex]
Step-by-step explanation:
1) First place out what was given:
[tex](-1 -7f)^{2}[/tex]
Squared is the same thing as multiply to itself, so you would create a pair of
[tex](-1 -7f)^{2}[/tex]
(For example, if you said: [tex]x^{2}[/tex] it is the same as saying or putting: x · x)
2) Then create your pair which would look like:
[tex](-1 -7f)(-1 -7f)[/tex]
3) Next step is to do the FOIL method
(The FOIL method is where you do First, Outside, Inside, an Last)(Like how it is shown in the picture, we will do this method and create one whole expression!)
4) Creating and combining your expression into one whole problem, by using the foil method.
[tex](-1 -7f)(-1 -7f)[/tex]
First - F: [tex]1[/tex]
Outside - O: [tex]7f[/tex]
Inside - I: [tex]7f[/tex]
Last: [tex]49f^{2}[/tex]
This will be:
[tex]1+14f+49f^{2}[/tex]
And this will be your answer!
which ratio is greater than 11/16
Answers
Answer:
3:4
Step-by-step explanation:
because in a simplified ratio, it tells us that in any set of whatever number (total of 3 and 4), there will be a quantity in simplification of 3 on one side.
3:4 is also a simplified ratio which can be reversed to a higher fraction than 11/16 (which would be 11:16 in ratio form fue to the inability to simplify) therefore making it a greater ratio.A square television screen has sides that are 23 inches. Find the approximate length of its diagonal to the nearest tenth of an inch.
Answers
Answer:
92
Step-by-step explanation:
A biologist measured the length and mass of 20 reptiles. The equation y=0.3x-2 is the line of best for the data, where x is the length in centimeters and y is the mass in grams. What is the approximate length of a reptile that has a mass of 20.5 grams?
Answers
Answer: 75 cm
Step-by-step explanation: 0.3 x 75 - 2 = 20.5 grams
Answer:
75 cm
Step-by-step explanation:
Which of the following statements correctly justifies the steps in the solution below?
Given
Step 1
Step 2
Step 3
Step 4
6(3x 4) - 26 40
18x - 24 - 26 40
18x - 50 40
18x = 90
X = 5
0 The Division Property is used to create Step 4.
The Associative Property is used to create Step 1.
The Distributive Property is used to create Step 3.
The Subtraction Property is used to create Step 2.
Answers
Answer:
The Division Property is used to create Step 4.
Step-by-step explanation:
i might be incorrect, but here's the whole equation just in case:
6(3x−4)−26=40
6(3x−4)−26=40
(6)(3x)+(6)(−4)+−26=40(Distribute)
18x+−24+−26=40
(18x)+(−24+−26)=40(Combine Like Terms)
18x+−50=40
18x−50=40
18x−50+50=40+50
18x=90
18x/18 = 90/18
x=5
What is the answer to x - 1.2 = 3 As a decimal
Answers
Step-by-step explanation:
x - 1.2 = 3
x = 3 + 1.2
x = 4.2
I need some help with this math problem
Answers
Solve.
3a + 3b + c = - 33
a-3b + 2c = -1
8a-2b + 3c
What is the solution?
Answers
25x10 to the power of 6 in standard form
Answers
Answer:
25000000
Step-by-step explanation:
10 * 10 * 10 * 10 * 10 * 10 * 10
25 * 10^6 = 25 * 1000000
I think.
x -3 ,0, 3, 6, 9 ,y 8 ,4, 0, -4 ,-8 find domain and range
Answers
Answer:
Step-by-step explanation:
This might not help and thats ok but, the domain is the x values and y is the range values. so the answer might be (-3,8) (0,4) (3,0) (6,-4) and (9,-8)