Answer:
1 1/5 miles per hour
Step-by-step explanation:
3/5 = 0.60
1/2= 0.5 hr
0.60 * 2 = 1.2
1.2 mph = 1 1/5
Can someone solve this? also, show work please. We need to find out what x is.
-6x + 13 = -5(7 +6x)
Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]
Distribute -5 through the parentheses
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 5 \times 7 + ( - 5 )\times 6x}}[/tex]
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 35 + ( - 30x)}}[/tex]
[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 35 - 30x}}[/tex]
Move 30x to left hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]
Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]
Combine like terms
[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]
The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]
Divide both sides by 24
[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]
Dividing a negative integer by a positive integers gives a negative integer.
[tex]\longrightarrow{\sf{x = -2 }}[/tex]
-----------------------------------------------------
Verification:L.H.S = -6x + 13
Plug the value of x and simplify
[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]
Multiplying negative integers by a negative integer gives a positive integer.
[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]
Add the numbers : 12 and 13
[tex] \longrightarrow{ \sf{25}}[/tex]
R.H.S = -5 ( 7 + 6x )
plug the value of x and simplify
[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]
Multiplying a positive integer by any negative integer gives a negative integer.
[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]
[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]
Subtract 12 from 7
[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]
[tex]\longrightarrow{\sf{25}}[/tex]
L.H.S = R.H.S
The value of x is -2 .
Hope I helped!
Best regards!
~TheAnimeGirl
2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
Answer:
x<=-1/2
Step-by-step explanation:
An inequality is a mathematical relationship that compares two unequal numbers using the number line
To solve the inequality 2x – 6 ≥ 6(x – 2) + 8
We first simplify both sides of the inequality
2x-6≥6x-12+8
2x-6≥6x-4
Add 6 to both sides
2x≥6x+2
-4x≥2
x≥2/-4
Sign changes when we divide both sides of equation by a negative sign
x<=-1/2
Therefore x is less than or equal to -1/2 on the number line
Just the image below.
Answer:
1) 2x^3-2x^2+4x+20
Step-by-step explanation:
line up the equations, having each variable aligned with the similar variable, and distribute the minus sign across the parenthesis
7x^3 + 4x + 13
-(5x^3 + 2x^2 - 7)
---------------------------------
2x^3 - 2x^2 +4x +20
Which is a unit rate?
StartFraction 4 dollars Over 3 cans EndFraction
StartFraction 5 students Over 2 teachers EndFraction
6 hours : 1 book
3 miles : 2 days
The answer is
6 hours : 1 book
Answer:
C
Step-by-step explanation:
Help stat please.Brainlist for the best ansmwer
Solve 5x -9= 90 step explanation
Answer:
x = 19.8
Step-by-step explanation:
5x - 9 = 90
5x = 90 + 9
5x = 99
x = 19.8
Hope this helped!
Answer:
19.8
Step-by-step explanation:
5x-9=90
Cancel the 9 on both sides, so you get:
5x=90+9
5x=99
x= 19.8
Please help if u get these all right i will mark brainliest
Help algebra have nnnnnnnnnnnn
Answer:
0. 3
1. 1
2. -1
3. -3
4. -5
y- intercept is 3 then remember rise over run for the slope
At the city museum child admission is $5.40 and adult admission is $9.40. On Wednesday, 168 tickets were sold for a total sales of $1199.20. How many adult tickets were sold that day?
Given:
Selling price of child ticket = $5.40
Selling price of adult ticket = $9.40
Total tickets = 168
Total sales = $1199.20
To find:
The number of adult tickets sold.
Solution:
Let x be the number of child tickets and y be the number of adult tickets.
Total tickets : [tex]x+y=168[/tex] ...(i)
Total sales : [tex]5.40x+9.40y=1199.20[/tex] ...(ii)
From equation (i), we get
[tex]x=168-y[/tex]
Put this value in (ii).
[tex]5.40(168-y)+9.40y=1199.20[/tex]
[tex]907.2-5.40y+9.40y=1199.20[/tex]
[tex]4y=1199.20-907.2[/tex]
[tex]4y=292[/tex]
Divide both sides by 4.
[tex]y=\dfrac{292}{4}[/tex]
[tex]y=73[/tex]
Therefore, 73 adult tickets were sold that day.
Pleaseeeeee help please
the number if baskets nikki can make varies directy with the time she spends making the baskets she can make 4 baskets in 1/2 an hour how many baskets can nikki make in 5 hours
Answer:
40 baskets
Step-by-step explanation:
Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.
Answer:
40 Baskets
Step-by-step explanation:
4 x half an hour = 8 baskets an hour. 8 x 5 = 40
Find the equation of a line that passes through the points (-1,-3) and (1,-5).
Leave your answer in the form y = mx + c
Answer:
Y= -1x - 4
Step-by-step explanation:
Each axis on a graph should be:
labeled
equal
numbered
vertical
Answer:
labeled is the answer your looking for
after 6 hours, a driver had traveled 390 miles. how far had the driver traveled after 4 hours
Please help. I want to finish this problem so I can have fun. It is really hard for me. Plz.
Answer:
x can be divided by 2,3,4,5,6
2 can be divided by 4, so is 3 to 6
so simply x can be divided by 4,5,6
4*5*6=120
Step-by-step explanation:
what is 8 divided by 3/5
Answer:
13 1/3. have a great day!! :D
Step-by-step explanation:
To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.
A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 150 jackets in a month, it will cost $5500. Also , to produce 370 jackets in a month , it will cost $8580 . Find an equation in the form y = mx + b , where is the number of jackets produced in a month and y is the monthly cost to do so.
Answer:
[tex]y = 14x + 3400[/tex]
Step-by-step explanation:
Represent
- number of jackets with x
- costs of jackets with y
So, we have:
[tex](x_1,y_1) = (150,5500)[/tex]
[tex](x_2,y_2) = (370,8580)[/tex]
Required
Write an equation in form of y = mx + b
First, we need to determine the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8580 - 5500}{370 - 150}[/tex]
[tex]m = \frac{3080}{220}[/tex]
[tex]m = 14\\[/tex]
The equation is calculated using:
[tex]y-y_1 = m(x - x_1)[/tex]
Where
[tex]m = 14\\[/tex]
[tex](x_1,y_1) = (150,5500)[/tex]
So, we have:
[tex]y - 5500 = 14(x - 150)[/tex]
[tex]y - 5500 = 14x - 2100[/tex]
Make y the subject
[tex]y = 14x - 2100 + 5500[/tex]
[tex]y = 14x + 3400[/tex]
Please help me it due today at 11:59pm please help me will mark the brainiest please
Answer:
y = 69
Step-by-step explanation:
start with the distributive property:
5/9 * y and 5/9 * 3
and now you have: 5/9y + 15/9 = 40
and we have to isolate y so subtract 15/9 from both sides:
5/9y + 15/9 = 40
- 15/9 -15/9
and now you have 5/9y = 345/9
and now divide both sides by 5/9 so: 5/9y divided by 5/9 = y
and 345/9 divided by 5/9 = 345/5 and lets simplify....
y= 69
hope this helps luv
4. Zack went into a frame it yourself shop. He wanted a frame 3-in longer than it was wide. The frame he chose has an area of 18-in squared. What are the dimensions of the length and width of the frame Zach purchased? *
Answer:
Width = 3 inch and length = 6 inch
Step-by-step explanation:
The width of a frame = x
A frame 3-in longer than it was wide. Length = 3+x
Area of the frame = 18 sq inch
We need to find the the dimensions of the length and width of the frame Zach purchased,
Area of a rectangle is given by : A = lb
[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]
Neglecting negative value
Width = 3 inch
Length = 3 + 3 = 6 inch
Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.
16.9 and 1.7 and 0.17 and 2.0 least to greatest
Answer:
0.17,1.7,2.0,16.9
Step-by-step explanation:
Answer:
0.17 1.7 2.0 16.9
Step-by-step explanation:
your going to look at the first number
Brainliest to the right answer...
Answer:
14
Step-by-step explanation:
All you have to do is fill in the variables with the number it is.
e - 1/2f
15 - 1/2(2)
15 - 1
14
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest so I can move on the the next rank! :)
Answer:
14
Step-by-step explanation:
1/2 x 2=1
15-1=14
Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.
Answer:
x = -17
Step-by-step explanation:
y - y1 = m(x - x1)
y - 3 = 1/5(x - (-2))
y - 3 = 1/5(x + 2)
y - 3 = 1/5x + 0.4
y = 1/5x + 0.4 + 3
y = 1/5x + 3.4
Now we plug in y as 0 to find x
y = 1/5x + 3.4
(0) = 1/5x + 3.4
-3.4 = 1/5x + 3.4 - 3.4
-3.4 = 1/5x times 5
-3.4 times 5 = x
-17 = x
Answer:
x = -17 (Verified Answer) ✅Step-by-step explanation:
If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.
Slope = Rise/Run (Change in y/Change in x)
In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.
m = rise/run
rise = y2- y1 substituting ----> 3 - 0 = 3
run = x2 - x1 substituting ----> -2 - x = run
Now, we can return to the slope formula, as we now have enough information to solve.
1/5 = 3/R
To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.
1R = 5 x 3
R = 15
Now that we know R, we can substitute it into the equation for run.
So, we now have:
15 = -2 - x
Subtracting -2 from both sides, gives us x = -17.
Finally, we must check our answer to make sure we are getting the correct slope when we calculate.
m = (3 - 0)/(-2 - -17)
m = 3/15 OR 1/5
Since. this matches the original slope we were given, we can be sure the answer is correct.
what situation can be modeled using the same equation -4 + 4 equals 0
A stop sign in the shape of a regular octagon is
resting on a brick wall, as shown in the
accompanying diagram.
STOP
X
What is the measure of angle x?
Answer:
45°
Step-by-step explanation:
First, find the measure of each interior angle of the octagon.
Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]
Where, n = 8.
Plug in the value of n into the formula
[tex] = \frac{(8 - 2)180}{8} [/tex]
[tex] = \frac{(6)180}{8} [/tex]
[tex] = \frac{1,080}{8} = 135 [/tex]
x = 180 - 135 (straight line theorem.)
x = 45°
If f(x) = x, find the simplified form for the following inputs:
b) f(x) + 2
c) 1/2f(x)
d) 2( f (x) ) +3
Answer:
Step-by-step explanation:
Is there another part to the question? Maybe the original function?
A sock weighs 1 oz. A shoe weighs 16 oz. how much heavier is the shoe ?
9. The temperature outside Jeff's house is 14 °C at midday.
By midnight, the temperature has fallen by 27 °C.
What is the temperature at midnight?
Section 1 – Number and Proportion
Answer:
-13ºC
Step-by-step explanation:
The temperature has fallen, so you subtract.
14ºC-27ºC=-13ºC>
De
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By
* Math
11
3.
Let x and y be positive integers and x >y.
11
Complete Question:
Let x and y be positive integers and x be greater than y.
11x/11y = ?
Answer:
11x/11y = x/y
Step-by-step explanation:
Given
x > y
Required
11x/11y
From the question, we understand that x is greater than y (i.e. x > y)
Also, we'll assume that y ≠ 0, in other not to result in an undefined result.
So,
11x/11y
Divide the numerator and denominator by 11
(11x ÷ 11)/(11y ÷ 11)
The result of the division is:
(x)/(y)
x/y
Hence,
11x/11y = x/y for x > y and y ≠ 0
Which set of side lengths cannot make a triangle?
1.) 3 cm, 3 cm, 6 cm
2.) 3 cm, 4 cm, 5 cm
3.) 3 cm, 5 cm, 7 cm
4.) 3 cm, 6 cm, 6 cm
Answer:
Option "A" is correct answer to the following question.
Step-by-step explanation:
We know that, in triangle sum of two smaller lines ≥ largest side
So,
3 cm + 3 cm < 6 cm [Not correct to the given situation.]
3 cm + 4 cm > 5 cm [Correct]
3 cm + 5 cm > 7 cm [Correct]
3 cm + 6 cm > 6 cm [Correct]
Answer:
A The one that says 3 cm, 3 cm, 6 cm.
Step-by-step explanation:
I’m terrible at percents so ...... if anybody can help that would be nice :))
Answer:
There are 625 trees in the park.
Step-by-step explanation:
Assume that there are x trees in the park
∵ The number of trees in the park = x
∵ 27% of them are oaks
∵ 16% are pins
∵ 33% of them are banyans
∵ The remaining are willows
→ The percentage of the total number of trees is 100%
∴ The percent of the remaining = 100% - (27 + 16 + 33)%
∴ The percent of the remaining = 100% - 76%
∴ The percent of the remaining = 24%
∵ The number of willows trees = 150
∴ 24% of x = 150
∴ 24% × x = 150
→ Change the percent to a decimal by divide it by 100
∵ 24% = [tex]\frac{24}{100}[/tex] = 0.24
∴ 0.24 × x = 150
∴ 0.24x = 150
→ Divide both sides by 0.24
∴ x = 625
∴ There are 625 trees at the park.