[tex]\text{Hi there! :]}[/tex]
[tex]\large\boxed{y = 8}[/tex]
[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]
Evaluate y = 3x - 5 when x = 6
y=13
Step-by-step explanation:
y=3x-5
y=3(6)-5
y=18-5
y=13
An object is traveling at a steady speed of 9 4/5 mi/h. How long will it take the object to travel 2 1/5 miles? First round to the nearest integer to find the estimated answer. Then find the exact answer.
Answer:
Time taken by the object = 14 minutes
Step-by-step explanation:
Speed of an object = [tex]9\frac{4}{5}[/tex] miles per hour ≈ 9.8 miles per hour
Distance covered by the object = [tex]2\frac{1}{5}[/tex] miles ≈ 2.2 miles
Formula to calculate the distance in the time 't' is,
Time taken by the object = [tex]\frac{\text{Distance traveled}}{\text{Speed of the object}}[/tex]
= [tex]\frac{2.2}{9.8}[/tex]
= 0.2245 hours
= 13.47 minutes
≈ 14 minutes
Therefore, distance traveled by the object to cover 2.2 miles = 14 minutes.
Convert 6 20
into a decimal
Answer:
6.20
wait what do u mean
The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Part II, you will be comparing an inflated football with a deflated one. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. In Part II, the independent variable, the one that is intentionally manipulated, is . (mass,volume,material,density) In Part II, the dependent variable, the one that you measure the response in, is . (mass,volume,matierl,density)
Answer:the first one is volume the second one is density
Step-by-step explanation:I took the test
Answer:
volume and density
Step-by-step explanation:
What is true about the relationship between miles and gallons?
gallons 2
4
8
miles
30
60 90
120
K
Answer:
It is a linear relationship
Tell whether the blue figure is a translation of the red figure.
The blue figure !
I a translation of the red figure.
Answer:it is a translation
Step-by-step explanation:a translation is just a movement up down left or right not diagonal you’re just moving it up down left or right across the grid
Answer:
Yes
Step-by-step explanation:
Because a translation moves a shape up, down, or from side to side but it does not change its appearance in any other way. The translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated at the same distance in the same direction.
Adam was learning to play a new a board game. He spun the spinner 5 times, and each time it landed on "Go back 4 spaces." How did the position of Adam's game piece change over these 5 spins?
Answer: -20 spaces
Step-by-step explanation:Hello! I hope this helped you out :)
Simon and Andrew see a speed limit sign that says 65 kilometers per hour. They decide to convert this speed limit to miles per hour. They each do the conversion separately and come up with different answers. Their work is shown. Who is correct? Explain.
Answer:
40.38912735 or about 40 miles per hour (rounded to the nearest whole number)
Step-by-step explanation:
1.) You want to convert kilometers per hour to miles per hour.
2.) There are 0.62137119 miles in 1 kilometer.
3.) Multiply 65 by 0.62137119
4.) That equals 40.38912735
5.) This answer can be rounded to 40 mph.
A man (M) is standing halfway between a tree (T) and a lamppost (L). What is the value of x?
T
M
L
(2x + 8) m
(3x – 2) m
I don't understand what I have to do and how to get the answer is there anyway someone can tell me???
Answer :
The value of x is 10.
Explanation :
Given that,
TM = (2x+8) m
ML = (3x-2) m
If a man (M) is standing halfway between a tree (T) and a lamppost (L).
The half distance is TM and half distance is TL.
So, Both half distance will be equal.
We need to calculate the value of x
Using given data
[tex]TM=ML[/tex]
Put the value into the formula
[tex]2x+8=3x-2[/tex]
[tex]2x-3x=-8-2[/tex]
[tex]-x=-10[/tex]
[tex]x=10[/tex]
Hence, The value of x is 10.
HELP ME PLEASE DUE IN 5 MIN
Answer:
Step-by-step explanation:
im pretty sur ethe answer is 58... i havent done this is 3 yeras so if its wrong sorry
Explanation & Process Needed
Answer:
∠ BOF = 32°
Step-by-step explanation:
Since AB is a straight line, then
∠ AOE + ∠ EOD + ∠ DOE = 180° , substitute values
90 + x + 8 + 2x - 8 = 180 , that is
3x + 90 = 180 ( subtract 90 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Thus
∠ DOB = 2x - 8 = 2(30) - 8 = 60 - 8 = 52°
∠ COF = 4x - 24 = 4(30) - 24 = 120 - 24 = 96°
∠ AOC = ∠ DOB ( vertical angles ), thus
y = 52, then
∠ BOF = 180° - (96 + 52)° = 180° - 148° = 32° ( angles on a straight line )
The figure below shows part of a stained glass window depicting the rising sun which function can be used to find the area of the region outside of the semicircle but inside the rectangle. (Look at the picture for more details)
We know that the area of a semicircle = 1/2(πr^2)
r = the radius
We also know that the area of a rectangle = xy
x = width
y = length
In our problem,
r = w
x = w
y = w + 5
A(w) = w(w + 5) - 1/2(πw^2)
Let's simplify the right side of the function.
A(w) = w^2 + 5w - 1/2πw^2
What is f(5) for the function f(x)=2x+7
Answer:
Solution:
f(5)=2×5+7
=10+7
=17
Answer:
[tex]f(5)=17[/tex]
Step-by-step explanation:
[tex]f(5)=2(5)+7\\f(5)=10+7\\f(5)=17[/tex]
If 7/35 = 4/y, what is y?
Answer:
y = 20Step-by-step explanation:
[tex] \frac{7}{35} = \frac{4}{y} [/tex]
First of all cross multiply
That's
7y = 140
Divide both sides by 7
That's
[tex] \frac{7y}{7} = \frac{140}{7} [/tex]
We have the final answer as
y = 20Hope this helps you
Trey received a $15.00 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars) on the card after
buying x prints is given by the following.
B = 15.00 -0.06x
What is the remaining balance on the card if Trey bought 50 prints?
Answer
I think it's 12.00 left
Step-by-step explanation:
50 * 0.06 = 3.00
3.00 - 15.00 = 12.00
12.00
If LN=54 and LM= 31, find MN
Answer:
If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.
Step-by-step explanation:
So...
54-31=23
which angles are complementary?
Answer:
<LKM and <MKN
<PKO and <LKM
Step-by-step explanation:
<LKM and <MKN = 90°
<PKO and <LKM = 90°
True or false, 6 divided by 1/2 is larger than 6 1/2
Answer:
True
Step-by-step explanation:
6 divided by 1/2 is the same as multiplying by two
Answer:
True
Step-by-step explanation:
6 divided by 1/2 = 12
You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12
Cindy lost 47 pounds while on a diet. She now weighs 144 pounds. Write and solve an equation to find her initial weight.
Answer:
191
Step-by-step explanation:
47+144=191
Answer:
equation: 144+ 47= 191
Step-by-step explanation:
5) There are 20 students in Mr. Drury's tutorial. 70% of the students are wearing a hoodie. Het many students are wearing a hoodie?
Jeremiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?
Answer:
6 cups of flour
Step-by-step explanation:
we know that
the ratio of the recipe=(1 1/2)/(3/4)
1 1/2=1.5 cups of flour
3/4 stick of butter-------> 0.75 stick of butter
by proportion
1.5/0.75=x/3---------> 3*1.5=0.75*x
x=3*1.5/0.75----------> x=6 cups of flour
what is the smallest two digit positive integer such that the product of its two digits is one-half the integer
Let x be the tens and y be the ones digits.
The product of the number is then: 10x + y
The product is 1/2, so you need to multiply the product by 2 and the number:
10x + y = 2(x+y)
10x + y = 2x + 2y
Subtract 1 y from both sides
10x = 2x + y
Subtract 2x from
Both sides
8x = y
X has to be 1 , which would make y 8
The product number becomes 18
Since the product is 1/2, multiply by 2:
18 x 2 = 36
3 x 6 = 18
The answer is 36
What is the sum of b and 4
Answer:
b+4
Step-by-step explanation: If you add b to 4, than you get B+4
-2(6 - 10x) = 10(2x - 6)
HEPL!!!!
Answer:
x=0 solution
Step-by-step explanation:
2x-10x=6-6
-8x=0
x=0 solution Hope this helped!
To get the 10% discount, a shopper must spend no less than $300.
Round 20045 to 4 significant figures.
Answer:
2005
Step-by-step explanation:
What is f(4) if f(x)=3x+2
Answer:
f(4) = 14
Step-by-step explanation:
To evaluate f(4), substitute x = 4 into f(x), that is
f(4) = 3(4) + 2 = 12 + 2 = 14
Round the following to the 3 significant digits. 456789
Answer:
456789 to 3 significant figures = 457000
Erica has saved $2400.if she spends $45 per day then what is the first day that her balance will be $500 or less
Answer:
The 43rd day of spending $45.
Step-by-step explanation:
Let the number of days = x.
If she spends $45 per day, then in x days she spends 45x.
She starts with $2400, so 45x is subtracted from 2400.
2400 - 45x < 500
Subtract 2400 from both sides.
-45x < -1900
Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.
x > 42.2
Answer: The first day is the 43rd day of spending $45.
Solve for x in simplest form. 10=3/7(4x+35)
Answer:
x=−
12
35
=−2.917
Step-by-step explanation: