Answer:
3/14
Step-by-step explanation:
We need to line up the fractions. 5/7 on top, 1/2 on the bottom. We need to find common denominator so, 7 x 2 (denominators) gives us 14. 14 is now the denominator we will use. Solve for numerator: Starting at bottom fraction. 2 goes into 14 7 times, 7 times original numerator (1) 35. Theres your new numerator. Now, the top fraction: 7 goes into 14 2 times. 2 x original numerator (5) = 10. Now subtract both numerators (10 - 7 = 3) Plug in the denominator and your answer is: 3/14
Find the missing length marked with a question mark.
UVW-USR
Given:
[tex]\Delta UVW\sim \Delta USR[/tex]
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
[tex]\Delta UVW\sim \Delta USR[/tex]
Corresponding sides of similar triangles are proportional, so
[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]
Using this, we get
[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]
On substituting the values, we get
[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]
[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]
On cross multiplication, we get
[tex]70\times 4=5\times x[/tex]
[tex]280=5x[/tex]
[tex]\dfrac{280}{5}=x[/tex]
[tex]56=x[/tex]
Therefore, the missing length is 56 units.
1/7 of a birthday cake was left over from a party. The next day, it is shared among 8 people. How big a piece of the original cake did each person get?
Answer:
1/56
Step-by-step explanation:
ploz brainliestt
4
Drag each value and expression to the correct location on the equation. Not all values and expressions will be used.
A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below, where tis the
time in years.
P(t) = 78,125 0.025:
How many years will it take for the farmland's market value to reach $125,000?
6.4
In(1.6)
0.025
18.8
13.6
years
years
Reset
Next
Answer: t = 18.8 years
Step-by-step explanation: The modeled function is an exponential function:
[tex]P(t)=78,125e^{0.025t}[/tex]
which is farmland worth along time.
To determine when the farmland will be worth $125,000:
[tex]125,000=78,125e^{0.025t}[/tex]
[tex]e^{0.025t}=\frac{125,000}{78,125}[/tex]
[tex]e^{0.025t}=1.6[/tex]
Apply natural logarithm:
[tex]ln(e^{0.025t})=ln(1.6)[/tex]
And then, power rule:
[tex]0.025t=ln(1.6)[/tex]
[tex]t=\frac{ln(1.6)}{0.025}[/tex]
t ≈ [tex]\frac{0.47}{0.025}[/tex]
t ≈ 18.8
After 18.8 years, the farmland will reach market value of $125,000.
Answer:
Step-by-step explanation:
For all Plato users.
Mark was thinking of a number. Mark doubles it, then adds 11 to get an answer of 52.6. What was the original number?
Answer:
20.8
Step-by-step explanation:
The first step you need to do is to subtract 11:
52.6 - 11 = 41.6
The second step is to divide it by 2:
41.6 / 2 = 20.8
Mark was thinking of 20.8
Answer:
the original number is 20.8
Step-by-step explanation:
because 2x + 11 = 52.6
2x = 41.6 -->x = 20.8
the giraffe is the worlds tallest land mammal. if the scale is 1/2 inch represents 5 feet . the giraffe is 20 feet tall . how many inches is the giraffe?
Answer:
The giraffe will be 2 inches
Step-by-step explanation:
If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...
20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches
Please help i have no idea what this is :(
Answer: y - 3= -1/2 * (x - 8)
Answer:
y=-1/2x+3
Step-by-step explanation:
Slope intercept form is written: y=mx+b...
y=doesn't change, but you need it by itself
m=slope
x=the variable right next to the slope
b=y-intercept
Also, don't worry! This is super simple ^^
The question gives us -1/2 as the slope, so it needs to be plugged into the equation as m (next to x). Now our equation looks like this:
y=-1/2x+b
Next, we can figure out b. B is the y-intercept and we can figure this out by looking at the ordered pair (8, 3). The y is the second number, which is 3, so that is the y-intercept! We can now plug in 3 into b. Our final equation looks like this:
y=-1/2x+3
Hope this helps!! Have an awesome day ❤
Please help me with this question
Step-by-step explanation:
y-intercept in the point x = 0
B) is the easiest
g(x) or y value
g(x) = 3x² + 6x -9
= 3(0)² + 6(0) -9
= 0 + 0 -9
= -9
y-intercept = (0,-9)
WILL MARK BRAINLIEST!! This goes to a part 2 of my last post. Sketch a new graph of this relationship.
If 4y = 7x, write the ratio of x to y.
Answer:
7:4 would be the ratio I think
let f(x)=2x and g(x)=2x
Graph functions on the same coordinate plane.
What solutions to the equations f(x)=g(x)?
Answer:
Rewrite (Lambert form):
[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]
Simplify :
[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]
Solve:
[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]
Result:
[tex]x=2,\:x=1[/tex]
Hope this helped u :)
If this was too complicated I can edit it for you.
Mr. Jefferson wants to sell his truck for $4800 tommy offered him 4/5 of the asking price What amount did Tommy offer
Answer:
$3840
Step-by-step explanation:
4/5 = 80%
20% of $4800 = $960
$4800 - $960 = $3840
guys i’m in a hurry please help meeee
Answer:
try both -1, if I'm wrong I am sorry
10.8 as a fraction please answer
Answer:
1 2/8 or 10/8
Answer: 54/5
Step-by-step explanation:
5x^2 + 42x + 16
what would the area be if x = 5
Answer:
The area would be 301 if x=5.
Step-by-step explanation:
Given expression is:
5x²+42x+16
We have to find the area when x=5
So putting x=5 in the given expression.
Area = 5(5)²+42(5)+16
Taking square of 5 and multiplying 42 by 5
Area = 5(25)+210+16
Area = 75+210+16
Adding all the terms
Area = 301
Hence,
The area would be 301 if x=5.
Need help asap Pleaseee
Answer:
the answer is 144 feet and I don't really have an explanation
Answer:
Radius = 12 feet
Step-by-step explanation:
The area of a circle formula is Area = pi r^2 ("r" represents the radius)
The area of Circle Q is 144pi
You can substitute "Area" with 144pi, which would look like this:
144pi = pi x r^2
Now divide both sides with "pi", which gives:
144 = r^2
Finally, square root both sides:
sqrt(144) = sqrt(r^2) (sqrt = square root)
And that gives
12 = r
So the radius is 12 feet.
Find the degree measure of angle Y.
Answer:
120
Step-by-step explanation:
Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?
Answer:
The Original Number is 36 :)
explanation:
What is the slope of the line that passes through (4, 12) and (5, 16)?
Answer:
8/10
Step-by-step explanation:
The rise on the y axis is eight and the run on the x axis is 10
(Hope this helped)
Need help on these two thanks
Answer:
#1 is meter or D
#2 is also D
Step-by-step explanation:
need help on this please
A can of soda weighs 336 grams. Find the weight in kilograms of 15 cans.
Answer:
5.04
Step-by-step explanation:
1 can equals to 336 grams
so 15 cans will equal to 336 X 15
which is 5040grams
now covert it into kg by dividing it by 1000
which 5.04
CAN SOMEONE PLEASE HELP ME??
Answer:
3,-2 5,-3 2,1
Step-by-step explanation:
all the points in the shaded region are the right answer
Kieran, Jermaine and Chris play football.
Kieran has scored 8 more goals than Chris.
Jermaine has scored 5 more goals than Kieran.
Altogether they have scored 72 goals.
How many goals did they each score?
Step-by-step explanation:
Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.
x + (x + 8) + (x + 13) = 72
Now we can rearrange and solve for x.
3x + 21 = 72
3x = 51
x = 17
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes. On Saturday she uses 1 1/2 times as much pancake mix as Friday. What fraction of teh box of pancake mix does Merinda use on Saturday
Answer:
3/8 of the box
Step-by-step explanation:
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.
On Saturday she uses 1 1/2 times as much pancake mix as Friday.
On Friday = 1/4 of the box
On Saturday = 1 1/2 × pancake mix as Friday
[tex]\dfrac{3}{2}\times \dfrac{1}{4}\\\\=\dfrac{3}{8}[/tex]
Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.
The diameter of a cylindrical water tank is 10ft and its height is 11 ft what's the volume of the tank used value 3.14and round to the nearest whole number
Answer:
863.5 ft³
Step-by-step explanation:
Given that :
Diameter, d = 10 ft
Height, h = 11 feets
Radius of tank, r = d/ 2 = 10ft / 2 = 5 ft
The volume of a cylinder is calculated using the relation :
Volume = πr²h
Volume = 3.14 * 5^2 * 11
Volume = 3.14 * 25 * 11
Volume = 863.5ft³
Rachel has ridden 68 miles of a bike course. The course is 80 miles long. What percentage of the course has Rachel ridden so far?
Answer:
92%
Step-by-step explanation:
since i helped can i have brainlst please that would be greatly apericated
Answer:
85%
Percentage solution with steps:
Step 1: We make the assumption that 80 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100% = 80.
Step 4: In the same vein, x% = 68.
Step 5: This gives us a pair of simple equations:
100% = 80(1)
x% = 68(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left-hand side) of both equations have the same unit (%); we have
100%/x% = 80/68
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100% = 68/80
__>x = 85%
Therefore, 68 is 85% of 80.
For questions 1 - 8, find f-'(x), the inverse of f(x). 1. f(x)= x + 12 2. f(x)= -2 3. f(x)=2x +12 4. f(x)= 3x -4 5. f(x)= 2x + 3 6 6. f(x)=
Answer:
1) inverse: x - 12
2) inverse: 3x + 6
3) inverse: x/2 - 6
4) inverse: x/3 + 4/3
5) inverse: 3x - 3/2
6) inverse: -3x/2 + 15/2
7) inverse: x/5 - 3
8) inverse: 2x/5 + 1/5
Easy math but im confused (sorry)
Help with q1 and 2 please ^^
Answer:
here............. you go...
help me pleaseee pleaseee
Answer:
x=3
PAW = 40
Step-by-step explanation:
-11x+173-x+43=180
-12x+ 216 = 180
12x = 36
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
