Answer:
[tex]w=1\text{ or } w=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5-3|2+2w|=-7[/tex]
First, subtract 5 from both sides:
[tex]-3|2+2w|=-12[/tex]
Divide both sides by -3:
[tex]|2+2w|=4[/tex]
Definition of Absolute Value:
[tex]2+2w=4\text{ or } 2+2w=-4[/tex]
Divide both sides of the equation by 2 for both equations:
[tex]1+w=2\text{ or } 1+w=-2[/tex]
Subtract 1 from both sides:
[tex]w=1\text{ or } w=-3[/tex]
And we're done!
To check:
[tex]5-3|2+2(1)|=-7[/tex]
Multiply:
[tex]5-3|2+2|=-7[/tex]
Add:
[tex]5-3|4|=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
And:
[tex]5-3|2+2(-3)|=-7[/tex]
Multiply:
[tex]5-3|2-6|=-7[/tex]
Subtract:
[tex]5-3|-4|=-7[/tex]
Absolute Value:
[tex]5-3(4)=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
What is the place value of 3 in 9. 365?
Answer:
It is in the tenths place
Step-by-step explanation:
In the number 9.365, 3 is in the tenths place.
Solve for r in terms of s, t, and u.
t=u-s+r
Answer:
r = t - u - s
Step-by-step explanation:
To solve for r in terms of s, t, and u, means to have r on one side and have t, u, and s.
t = u - s + r
t - u = s + r
t - u - s = r
V - W = uvw, solve for w
how do I do that?
Answer:
[tex]W=\frac{V}{UV+1}[/tex]
Step-by-step explanation:
[tex]V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}[/tex]
Which equation show the relationship in the table?
Answer:
hours = 5 x dollars
Step-by-step explanation:
Because, for every hour you earn 5 dollars.
x +2y = 5
5x -y = 3
I need help with my homework please anyone
Answer:
Step-by-step explanation:
Find the value of x in the diagram below
Answer:
x = 13
Step-by-step explanation:
a^2 + b^2 = c^2
5 = a 12 = b
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
square root of 169 = 13
Josh and Karen live 20 miles apart and at exactly 2 pm, both decide to ride their bikes towards each other's houses so that they can meet on the path somewhere in between. Josh rides at an average speed of 15 miles per hour and Karen rides at an average speed of 10 miles per hour. If Josh takes a 10 minute break after he starts to look at some birds while Karen rides the whole time, how many miles from Karen's house will they meet?
Answer:
They will meet at a distance 9 miles from Karen's house.
Step-by-step explanation:
Let the distance covered by Josh be [tex]S_{1}[/tex] and the distance covered by Karen be [tex]S_{2}[/tex]
The distance between Josh and Karen's houses is 20 miles. That is, the total distance both of them will cover is 20 miles.
Hence, [tex]S_{1} + S_{2} = 20 miles[/tex]
From the question, if Josh takes a 10 minute break after he starts while Karen rides the whole time, this means
If Karen rides for a total of [tex]t[/tex] mins, then Josh would spend [tex]t-10[/tex] mins for the journey
Also, Josh rides at an average speed of 15 miles per hour
and Karen rides at an average speed of 10 miles per hour
Now, for Josh
Distance = [tex]S_{1}[/tex]
Speed = 15 mile/hour (Covert to mile/minute); (NOTE: 1 hour = 60 mins)
Speed= 0.25 mile/min
Time spent = [tex]t - 10[/tex] mins
From
[tex]Speed =\frac{Distance}{Time}[/tex]
Distance = Speed × Time
Distance = 0.25 mile/min × (t-10) min
[tex]S_{1}[/tex] = 0.25(t-10) mile
[tex]S_{1}[/tex] = 0.25t - 2.5
t = ([tex]S_{1}[/tex] + 2.5) / 0.25 ....... (1)
For Karen,
Distance = [tex]S_{2}[/tex]
Speed = 10 mile/hour (Covert to mile/minute);
Speed= [tex]\frac{1}{6}[/tex] mile/min
Time spent = t
[tex]Speed =\frac{Distance}{Time}[/tex]
Distance = Speed × Time
Then, [tex]S_{2}[/tex] = [tex]\frac{1}{6}[/tex] mile/min × t min
[tex]S_{2}[/tex] = [tex]\frac{1}{6}t[/tex] mile
t = 6[tex]S_{2}[/tex] ......... (2)
Equating equations (1) and (2), we get
([tex]S_{1}[/tex] + 2.5) / 0.25 = 6[tex]S_{2}[/tex]
Then,
([tex]S_{1}[/tex] + 2.5) = 1.5[tex]S_{2}[/tex]
Recall that
[tex]S_{1} + S_{2} = 20 miles[/tex]
Then, [tex]S_{1} = 20 - S_{2}[/tex]
∴[tex]20 - S_{2}[/tex] + 2.5 = 1.5[tex]S_{2}[/tex]
2.5[tex]S_{2}[/tex] = 22.5
[tex]S_{2}[/tex] = 22.5 / 2.5
[tex]S_{2}[/tex] = 9 miles
This means Karen covers a total distance of 9 miles
Hence, they will meet at a distance 9 miles from Karen's house.
The robber stole only 25 pounds
Of quarters out of the coin machine. quarters are weighed in ounces. If there are 16 ounces in 1 pound how many ounces of quarters were stolen?
Simplify.
-(1 - 3)2 - 2x2
A car Is traveling at a speed of 90 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will
the car travel in 2 minutes? Do not round your answers.
[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]
[tex]\hrulefill[/tex]
To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.
[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]
To find how far the car will travel in a certain time, just multiply the speed by the time.
[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]
[tex]\large\boxed{3\ \text{km}}[/tex]
A steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. Find the height of the balance point of the blade.
Answer:
5.6 cm
Step-by-step explanation:
Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.
The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2
L = 1 cm
The y axis or the vertical length will be
L = sqrt ( [ 4-0]^2 + [0-0]^2)
L = Sqrt(16)
L = 4 cm
Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.
That is,
Thickness = 2 × 4 = 8 mm
The height of the balance point of the blade will be;
Height = 8 mm + 4 cm + 8 mm
Height = 0.8 + 4 + 0.8
Height = 5.6 cm
Note that the thickness will be added to both the top and the bottom of the blade.
i need help please answer quickly this is due tomorrow
Step-by-step explanation:
elsian 69 pls help me with my latest question i will gove u anything u want pls its due today i am so stuck
Answer: see below
Step-by-step explanation:
Graph the points and rotate the graph as follows:
90° = 1 turn left180° = 2 turns left (or right)270° = 3 turns left (or 1 right)or use the following formulas:
90°: (x, y) → (-y, x)180°: (x, y) → (-x, -y)270°: (x, y) → (y, -x)1) 180°: (x, y) → (-x, -y)
D: (1, 4) → (-1, -4)
E: (7, 6) → (-7, -6)
F: (8, 3) → (-8, -3)
G: (2, 1) → (-2, -1)
2) 270°: (x, y) → (y, -x)
L: (1, 6) → (6, -1)
M: (8, 7) → (7, -8)
N: (5, 2) → (2, -5)
3) 90°: (x, y) → (-y, x)
Q: (2, 6) → (-6, 2)
R: (5, 7) → (-7, 5)
S: (7, 3) → (-3, 7)
T: (1, 1) → (-1, 1)
4) 180°: (x, y) → (-x, -y)
D: (3, 0) → (-3, 0)
E: (6, 1) → (-6, -1)
F: (7, -4) → (-7, 4)
G: (1, -6) → (-1, 6)
OPEN ENDED QUESTION
Rewrite the following problem using
commutative property of addition: -3 + 7
Answer:
4
Step-by-step explanation:
7+-3=4
Answer:
4
Step-by-step explanation:
Step 1:
7 + ( -3)
Step 2:
7 - 3
Answer:
4
Hope This Helps :)
Which graph shows the solution to the inequality -3x-7 <20?
+
-10
-5
0
ch
5
10
+
-10
-5
0
5
10
A
0
-5
5
5
10
-10
+
5
10
0
-5
-10
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
The second angle in a triangle is 3° less than twice the first angle. The third angle measure is 8° more than twice the first angle. Find each angle
Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.
Step-by-step explanation:
Wee will represent the first angle by f,the second by s, and the third by t.
If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation s= 2f-3 .
The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .
Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.
f+ (2f+8) + (2f -3) = 180 Combine like terms on the left side
5f + 5 = 180
-5 -5
5f= 175
f = 35
So the first angle is 35 degrees.
Second angle.
s=2(35) - 3
s= 70 -3
s = 67
The second angle is 67.
Third angle.
t = 2(35) + 8
t= 70 + 8
t= 78
The third angle is 78 degrees.
Now add the angles up to see if they equal 180 degrees.
35 + 67 + 78 = 180
180 = 180
Between 9 P.M. and 6:10 A.M., the water level in a swimming pool decreased by 5/12. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
in 9 hour 10 minutes the water level decreased = 5/12
in 550 minutes the water level decreased = 5/12
in 60 minutes the water level decreased = (5/12)/550*60
= 1/22
Step-by-step explanation:
The rate of which water level decreases is 1/22 per hour.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Between time interval 9 P.M. and 6:10 AM,
The water level in the swimming pool decreases by 5/12.
To find the rate of decreasing water,
Total time duration = Final time - initial time = 9 : 10 hours = 540 + 10 = 550 minutes.
Since, in 550 minutes the water level decreases by 5/12.
To find water level decreases in each hour,
Use ratio property,
550 minutes = 5/12 decreases
1 minutes = 5/12 x 1/550 decreases
60 minutes = (5/12) x (60 / 550)
= 1 / 22
In each hour the water level decreases by 1/22.
To know more about Ratio on:
https://brainly.com/question/23724140
#SPJ2
What is a possible value of x if -5 < x< 0?
Answer:
x=-4,-3,-2or-1
Step-by-step explanation :0
Need help with these
Answer:
a. 0.07
b. 0.17
c. 0.333
d. 0.417
Donna arranges 32 tiles in equal rows, as shown below. Which expression
represents the number of tiles in each row?
32 x 4
32 + 4
32 : 4
32 - 4
In the figure below, what is the value of xº?
75°
79°
O A. 180°
B. 26°
O C. 64°
O D. 101°
Answer:
x=26°
B. 26°
Step-by-step explanation:
Triangle Sum theorem
75 + 79 + x =180
154 + x =180
x= 26
what is the value of x?
30
45
55
60
Answer:
[tex]\boxed {\tt B. \ x=45}[/tex]
Step-by-step explanation:
x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.
Add x and 3x, and set that equal to 180.
[tex]x+3x=180[/tex]
Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.
[tex](x+3x)=180[/tex]
[tex]4x=180[/tex]
Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{4x}{4} =\frac{180}{4}[/tex]
[tex]x=\frac{180}{4}[/tex]
[tex]x=45[/tex]
x is equal to 45, so the correct answer is B. 45
In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).
Supplementary angles add upto 180°.Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.
Then,
[tex] \angle TRS + \angle TRV = 180 \degree[/tex]
In the question, given angle TRS = x and angle TRV = 3x
[tex]x + 3x = 180 \degree[/tex]
[tex]4x = 180 \degree[/tex]
Now, divide 4 from both sides because we need to find x.
[tex]x = \frac{180 \degree}{4} [/tex]
[tex]x = 45 \degree[/tex]
It was given that Angle TRS is x
So, Angle TRS = 45°
Option B
#CarryOnLearning
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simplify 5-(-1) Quickly answer pls
Answer:
5-(-1)
5+1
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
5-(-1)
5+1
= 6
11 = 4/5h - 1 solve for h
Answer: h = 15
Step-by-step explanation: 4/5 x 15 = 60/5 = 12, 12 - 1 = 11.
I really need help . 12 points
Answer:
it the 2nd or last one but i think its the 2nd one
Answer:
it is last no. cause no negative or decimal are counted as order pair
Step-by-step explanation:
I guess I was help full for u
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Find the base for the following items.
4 is 1% of what number?
Answer:
400
Step-by-step explanation:
Please help with this problem. Thanks.
Answer:
Acute, angle C = 13
Step-by-step explanation:
replace x with 9
multiply 12(9) = 108
subtract 108 -17 = 91
divide 91 by 7 = 13
[tex]m[/tex]∠[tex]C=13[/tex] so its acute
POSSIBLE POINTS
Sarah is making hairbows for 6 friends. She needs 1 yards of ribbon for each hairbow. How many total yards of ribbion will she use?
Answer:
6 yards
Step-by-step explanation:
she need 1 yard of ribbon for each hairbow and 6 friends to make them for
Identify a reasonable approximation for the solution of this system
Answer:
Add a picture of the system
Step-by-step explanation:
The triangle below is an equilateral triangle. What is the perimeter of the triangle?
Answer:
[tex]5.4x+15[/tex] inches
Step-by-step explanation:
This is an equilateral triangle.
Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)
In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.
Let's multiply this by 3.
[tex]3(1.8x+5)[/tex]
We can apply the distributive property - multiply all terms inside the parentheses by 3.
[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]
Hope this helped!
L is the midpoint of KM. If KL = 14x and KM = 26x + 14, what is KL? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please type the answer step by step.
Answer:
Step-by-step explanation:
L is the midpoint of KM. So, length of KL = length of LM
KL = LM = 14x
KL + LM = KM
14x + 14x = 26x + 14 {add the like terms}
28x = 26x + 14 {subtract 26x form both sides}
28x - 26x = 14
2x = 14 {divide both side by 2}
2x/2 = 14/2
x = 7
KL = 14x = 14*7
KL = 98