Answer:
3. No errors were made. The problem was worked correctly.
Step-by-step explanation:
2(10x + 3) − x = 44
Distribute
20x +6 -x =44
Combine like terms
19x +6 = 44
Subtract 6 from each side
19x =38
Divide by 19
19x/19 =38/19
x =2
The pictogram shows what people ate when they went to a restaurant.
a) 32 people ate chicken.
How many people does
represent?
Chicken
Beef
Fish
Vegetarian
b) Altogether, how many people
went to the restaurant?
pls help
Answer:
Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together
chicken=128
beef= 80
fish=32
vegetarian=112
128+80+32+112= 352 people ate at the restaurant
Answer:
Altogether, 88 people went to the restaurant.
Step-by-step explanation:
I’m really not sure what the answer to this question is, can anyone help?
Answer:
25(sqrt(2)+1)
Some explanation:
The exact form is 25*sqrt(2) + 25.
If we divide by 25, we are left with sqrt(2) + 1.
So 25(sqrt(2) + 1) is the correct answer.
Hope that helps a little!
Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. His data are shown in the table.
Years Since Tree was Planted vs. Height of Tree
Years since tree was planted, x
Height of tree in feet, y
2
17
3
25
5
42
6
47
7
54
9
69
Using a regression calculator, what is a good prediction for the height of the tree when it is 100 years old?
A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 2, 3, 5, 6, 7, 9. Column 2 is labeled y with entries 17, 25, 42, 47, 54, 69. The regression equation is y almost-equals 7.36 x + 3.08; r almost-equals 0.998.
A good prediction for the height of the tree when it is 100 years old is about 315 feet because that is what the trend line, y almost-equals 3.08 x + 7.36, produced by the regression calculator predicts.
A good prediction for the height of the tree when it is 100 years old is about 739 feet because that is what the trend line, y almost-equals 7.36 x + 3.08, produced by the regression calculator predicts.
There is not a good prediction for the height of the tree when it is 100 years old because the trend line produced by the regression calculator does not give a prediction.
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Answer:
D
Step-by-step explanation:
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
the total surface area of a cube is 294cm2. work out the volume of the cube.
Answer: 343 cm³
Step-by-step explanation:
The surface area of a cube is 6s^2, where s is the side length of a square. Thus, first do 294/6 to get 49. Then take the square root of 49 to get that each side of the cube is 7. The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3
Hope it helps <3
Answer:
V =343 cm^3
Step-by-step explanation:
The surface area of a cube is given by
SA = 6s^2 where s is the side length
294 = 6s^2
Divide by 6
294 / 6 = s^2
49 = s^2
Take the square root of each side
sqrt(49) = sqrt(s^2)
7 =s
The volume of a cube is
V = s^3
V = 7^3
V =343 cm^3
If a family threw away 2.4 Kg of aluminum in a month, how many cans did they throw away?
Answer:
150 cans
Step-by-step explanation:
Identify the volume of the composite figure. Round to the nearest tenth. HELP PLS options: 143.8 in ^3 162.7in^3 4,712.4in^3 187.7in^3
Answer:
The volume of the composite figure is 162.7 in^3
Step-by-step explanation:
Here, we have a cylinder placed over a cube
The volume of the cube is L^3
With L being the length of its side = 5
The volume of the cube is 5^3 = 125 in^3
The volume of the cylinder is pi * r^2 * h
with r = 2 in and h = 3 in
The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3
Total volume is thus;
37.7 + 125 = 162.7 in^3
please help me solve
Answer:
cD /100
Step-by-step explanation:
Change the percent to a fraction
c% = c/100
Multiply by the sale
D * c/100
cD /100
Trae is searching for a treasure on the beach. From point $A$, he is told to walk two meters north, three meters east, and then two meters north to point $B$. In meters, what is the length of $\overline{AB}$?
Answer:A triangle ABC with positive integer side lengths has perimeter 35, centroid G, and incenter I. If ∠GIC=90∘, what is the length of AB¯¯¯¯¯¯¯¯?
We use barycentric coordinates with reference triangle △ABC. Letting k=a+b+c, we have the displacement vectors GI→=(13−ak,13−bk,13−ck) and IC→=(ak,bk,ck−1). EFFT gives us
a2(4b+c3k−13−2bck2)+b2(4a+c3k−13−2ack2)+c2(a+b3k−2abk2)=0
. Multiplying by 3k2, writing k=a+b+c, and expanding out, the equation turns into
a2((a+b+c)(3b−a)−6bc)+b2((a+b+c)(3a−b)−6ac)+c2((a+b)(a+b+c)−6ab)=0.
Expanding further and factoring an a+b+c out, we have
(a+b+c)((a+b)(4ab−a2−b2+c2)−6abc)=0.
Notice that when c=a+b the term (a+b)(4ab−a2−b2+c2)−6abc) vanishes, so we factor further to obtain
(a+b+c)(c−a−b)(a2+b2+c(a+b)−4ab)=0⟹a2+b2+c(a+b)−4ab=0⟹(a+b)2+c(a+b)=6ab⟹35(35−c)=6ab.
From the triangle inequality, we have c≤17 and we also know 6|35−c; it's now easy to find a triple (a,b,c)=(10,14,11) satisfying the equation above, and the answer is 11.
Hope this helps......
5x + y = 2
2x-3y = 62
Hey there! :)
Answer:
x = 4, y = -18 or (4, -18).
Step-by-step explanation:
Given:
5x + y = 2
2x - 3y = 62
We can use substitution to solve this problem. Rearrange the first equation in terms of y:
5x + y = 2 ---> y = -5x + 2
Substitute in this equation for y into the second equation:
2x - 3(-5x + 2) = 62
Distribute -3:
2x + 15x - 6 = 62
Combine like terms:
17x - 6 = 62
Add 6 to both sides:
17x = 68
Divide both sides by 17:
x = 4.
Plug in this value for x into an equation to solve for y:
5(4) + y = 2
20 + y = 2
y = -18.
Therefore, the solutions to this system of equations are:
x = 4, y = -18 or (4, -18).
Please answer is question in two minutes
Answer:
C: 38 units
hope this helps!!
It costs $20 for each metre of
border edge for a rectangular area.
What is the greatest area someone can enclose by spending $4500?
An archeologist in Turkey discovers a spear head that contains 27% of its original amount of C-14
Answer:
it is 13093 i got it correct
Angle lies in quadrant 4. Without using a calculator, determine which ratio is valid.
1) sin =0.789
2) tan =0.573
3) sin =-1.083
4)tan = 0.841
None of the ratios is valid implies no angle lies in quadrant 4.
Angles lie in quadrant 4. Without using a calculator, it is to determine which ratio is valid from the following 1) sin =0.789, 2) tan =0.573, 3) sin =-1.083 and 4) tan = 0.841.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Since in 4th quadrat only values of cos are positive other else operators tend to give negative value so,
1 ) sin = 0.789, here ratio is positive so it does not lies in quadrant 4.
2) tan = 0.573, it is also positive so it does not lies in quadrant 4.
3) sin = -1.083 this ratio is not possible because sin lies between (-1 to +1).
4) tan =0.841, it is also positive so it does not lie in quadrant 4.
Thus, None of the ratios is valid implies no angle lies in quadrant 4.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ5
Christine had a six sided dice numbered from 1 to 6. she rolled it a total of 50 times. it landed on a odd number 21 times. ( A ) work out the relative frequency of the dice landing on an odd number. give you answer as a decimal. ( B ) if the dice were fair what would the theoretical probability of it landing on a odd number be give your answer as a decimal. ( C ) is the dice definitely biased or is it impossible to tell write a sentence to explain your answer get brainly plz help
A) Relative frequency is number of times an event happened over total number of events:
Answer is 21/50 = 0.42
B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50
C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.
If f(x)=x and g(x) =2, what is (f•g)(x)
Answer:
c
Step-by-step explanation:
Which set of angle measures could be the interior angles of a triangle? Explain why 1) 90°, 90°,90° 2)80°,80°,200° 3)40°,50°,60° 4)15°,30°,135°
Answer: option 4) 15°, 30°, 135°
Step-by-step explanation: because the triangle angle rule says that all the intererior angles of the triangle sum upto 180° always
Answer:
4) 15°,30°,135°
Step-by-step explanation:
The interior angles of a triangle will add up to 180°, so we have to choose an answer choice with angles that all add up to 180.
Answer #4 is correct because 15 + 30 + 135 = 180.
Having some problems with this
Answer: C) 5
Step-by-step explanation:
First let's distribute the left side of the equation.
2/3a - 9 1/3 = -3(a-3)
Then let's distribute the right side of the equation.
2/3a - 9 1/3 = -3a + 9
Then let's move all the a's to one side, and all the constants to the other.
3 2/3a = 18 1/3
Then divide both sides of the equation by 3 2/3.
a = 5
Hope it helps <3
Hello i need some help
Answer:
y = 2x - 1
Step-by-step explanation:
(3, 5) (5, 9)
slope = (9-5)/(5-3) = 4/2 = 2
y = mx + b
5 = 2(3) + b
-1 = b
y = 2x -1
Answer:
f(x)=2x-1; y=2x-1
Step-by-step explanation:
First we need to find the slope and to do so you use the equation [tex]\frac{y_{1} -y_{2}}{x_{1}-x_{2}}[/tex] .
Plugging in for the values we get (9-5)/(5-3)=4/2=2, which means we have a slope of 2.
Now we just have to find the y-intercept, and to do this we multiply the x-value by the slope (2) and see what we have to add to that to get the y-value.
For example, 5*2=10, 10-1=9, so -1 is our y-intercept.
This means our equation in slope-intercept form is y=2x-1 and in function form is f(x)=2x-1
Khairul agrees to lay a road 3000m long in 30 days. He employs 50 men,who works for 8 hours a day .After 20 working days, he finds that only 1200 m of the road is completed. Each man now works for 10 hours a day and they have to finish the project in 10 days' time. So , Khairul decides to employ more men to work on the project. How many more men are to be employed to finish the work on time?
Answer:
10 more men
Step-by-step explanation:
1.5 road made per man
At the deli, Alberto paid $24.33 for 7.4
pounds of sliced ham. What was the
price of one pound of sliced ham?
Answer:
About $3.28
Step-by-step explanation:
Divide 24.33 by 7.4
Answer:
3.28783783784...
Step-by-step explanation:
You're description could turn into 24.33 : 7.4.
You turn 7.4 into 1, and divide 7.4 / 1.
(It is 7.4)
Then, you divide 24.33 / 7.4.
It is 3.28783783784.......
or, If you want you're answer close to an natural number, It is 3.
I've got no clue how to do this.
Answer:
×-10×+21=0
FACTORIZATION of splitting the middle term
20 POINTS!!! On the following graph F(-5)=?
Answer:
7
Step-by-step explanation:
PLEASE HELP QUICK!!!Dante wrote several equations and determined that only one of the equations has infinitely many solutions. Which of these equations has infinitely many solutions?
Answer:
I think its D?
Hope this helped!
PLSSS answer ASAPP plss which statement is true regarding the graphed functions ?
f(0) = 2 and g(-2) = 0
f(0) = 4 and 9(-2) - 4
f(2)= 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0
Answer:
f(2)= 0 and g(-2) = 0 is the answer
Step-by-step explanation:
if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y
f(x)=(2) and once again y=0
so the third option is the answer if im seeing this correctly.
f(2)=0 and g(-2)=0
Mrs. Sing invests $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will Mrs. Sing substitute for r in the simple interest formula? I = p r t
Answer:
she wills substitute r with 7%.
Step-by-step explanation:
Just did it.
Answer:
R = 7%
Principal (P)
Rate (R)
Time (t)
Step-by-step explanation:
The full intrest rate formula is i=prt
You are looking for r
R is the interest rate 7%
So i = 12,876*7%*3years will be the full equation.
Solve for x 4x−2=3x+4
Answer:
x=6
Step-by-step explanation:
Answer:
x = 6
hope this helps!
Forest fires are most likely to occur when the air temperature (t) is greater than 60°F.
Write an inequality for the situation.
please help me asap!!!!!!!!!!!!!!!!!!!!!!!!!
The temperature (t) needs to be greater than 60
So you would have t > 60
Answer:
t > 60
Explanation:
In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'
Read the following quote from the problem...
"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."
Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.
Now, let's find out what symbol we will use to compare the terms.
Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.
Finally, use all the facts we have established to write the inequality.
· t = air temperature
· > = greater than
· 60 = max temp. before forest fire occurs
Therefore, the inequality for the solution is t > 60.
Please help me solve this question with working steps,thanks!!
Answer:
x = 20%
Step-by-step explanation:
The area is the product of side lengths. If the original side is "a", then the one increased by 25% is ...
a + 0.25·a = 1.25a
The one decreased by x is ...
a -x·a = a(1 -x)
We want the area of the square to be the same as that of the rectangle, so we write an equation that says that, then solve for x.
square area = rectangle area
a^2 = (1.25a)(a)(1-x)
1 = 1.25 -1.25x . . . . divide by a^2, eliminate parentheses
1.25x = 0.25 . . . . . add 1.25x -1
x = 0.25/1.25 = 0.20
x = 20% . . . . . . expressed as a percentage
Caroline, Colin & Sarah share some money in the ratio 1 : 9 : 1.
In total, Caroline and Sarah receive £28.
How much does Colin get?
Answer:
Colin got £126
Step-by-step explanation:
Here we want to know how much Colin got from the sharing.
We can collapse the ratio to mean;
Colin : Caroline + Sarah
= 9:1 + 1 = 9:2
So total ratio is 9 + 2 = 11
If Caroline and Sarah got £28 we need to find the total money shared
Let the total money shared be £x
Thus;
2/11 * x = 28
2x = 11 * 28
x = (11 * 28)/2
x = 11 * 14 = £154
So the amount of money Colin got would be;
£154 - £28 = £126