compute the range of the figures into the table
thabo and nomsa share 147 cents between them so that thabo gets 19 cents more than nomsa. calculate the amount of money each gets?
Answer:
n = 64 cents ; t = 83 cents
Step-by-step explanation:
n = nomsa
t = thabo
n + t = 147
n + 19 + n = 147
2n = 128
n = 64 cent
t = 64 + 19
t = 83 cent
The amount cents getting by Nomsa = 64
Hence, the amount cents getting by Thabo = 83
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Thabo and Nomsa share 147 cents between them so that Thabo gets 19 cents more than Nomsa.
Let the amount cents getting by Nomsa = x
Hence, the amount cents getting by Thabo = 19 + x
So, We get;
x + (19 + x) = 147
2x + 19 = 1147
2x = 147 - 19
2x = 128
x = 64
Thus, the amount cents getting by Nomsa = 64
Hence, the amount cents getting by Thabo = 19 + 64 = 83
Learn more about the addition visit:
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PLEASE HELP!
Record the lengths of the sides of ΔABC and ΔADE.
I would appreciate it.
AB: 20
BC: 12
AC: 16
AD: 10
DE: 6
AE: 8
would appreciate the help please!
Answer:
I think SAS is the correct Ans
Figure 2 shows that the travel time from x to y is 2 hours and 45 minutes. If Rihana needs to arrive at y before 12:45 p.m. , what time does she have to get on the bus?
plss help me
I will mark you as brainliest.plss
Answer:
See explanation
Step-by-step explanation:
Travel time between x and y = 2 hours 45 minutes
Rihana needs to arrive at y before 12:45 p.m
what time does she have to get on the bus?
12 : 45 pm - 2 hours 45 minutes
= 10:00 am
This means Rihanna has to get on the bus before 10:00 am
From the options provided, the two possible times are 08:00 am and 09:30 am
PLEASEE HELP I'LL GIVE BRAINLIEST.
Btw on the box when it says "12 mince" that's a mistake it meant to say "18"
Answer:
No, Elias doesn't have enough quantity of each ingredient to make 45 mince pies.
Step-by-step explanation:
For making 18 Mince Pies Elias needs
200g Butter
225g flour
150g sugar
250g Mincemeat
1 egg
Inorder to make 45 mince pie's he's gonna need 45/18=2.5 times the ingredients he needs to make 18 Mince Pies.
As he doesn't have enough Mincemeat (has only 600g but needs 250*2.5=625g of mincemeat)
As he is short of 25g of Mincemeat, he is unable to make 45 Mincepies.
please help!! asap need 5 and 6
Answer:
both substitutions
Step-by-step explanation:
in 5. based on 3 BC is substituted by its equal counterpart AB.
and in 6. we use 1. to substitute AC by its associated absolute value.
asap help no wrong answers
the answer is in the picture
Please help me with this (geometry)
Answer:
∠ 6 = 55°
Step-by-step explanation:
∠ 6 and 125° are same- side interior angles and sum to 180° , then
∠ 6 = 180° - 125° = 55°
simplify m√p + n√p - √p
Answer:
[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p}(m + n - 1) }}[/tex]
What is the vertex of the function f(x) = -|x + 7| − 4?
A.
(-7,-4)
B.
(7,4)
C.
(-7,4)
D.
(7,-4)
Answer:
it would be
D.
(7,-4)
Mark me as brainliest pleases
Answer:
it would be A (-7,-4)
Step-by-step explanation:
write the equation of the line that goes through points (2,-2) (4,-10)
Answer:
The slope-intercept form equation of the line that passes through (2, 4) and (4, 10) is y = 3x - 2.
Step-by-step explanation:
Please Solve:
x^2-4x-5=0
A group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students. The bus can hold a maximum of 54 teachers and students. If t represents the number of teachers and s represents the number of students, which of the following systems of inequalities best describes the possible numbers of teachers and students who can go on the trip?
Answer:
A maximum of 43 students and 11 teachers can go to the trip.
Step-by-step explanation:
Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:
4 + 1 = 5
54/5 = X
10.8 = X
10 x 4 = 40
10 x 1 = 10
4 - 1 = 3
Therefore, a maximum of 43 students and 11 teachers can go to the trip.
Factor: (a+3)^2 -a(a+3)
Answer:
3(a +3)
Step-by-step explanation:
(a+3)^2 -a(a+3)
FOIL
a^2 +3a+3a+9 -a(a+3)
Distribute
a^2 +3a +3a +9 -a^2 -3a
Combine like terms
3a +9
FACTOR out a+3
(a+3)( a+3 -a)
(a+3) (3)
3(a+3)
Answer:
3(a+3)
Step-by-step explanation:
Expand the first set of brackets first
(a+3)^2
A^2 + 3a + 3a +9
=A^2 + 6a + 9
Expand the second set of brackets
-a(a+3)
=-a^2 - 3a
Add both sets together
3a + 9
Factorise:
3(a+3)
What number added to 23 equals 41?
Equation:
Solution:
Answer:
1. x + 23 = 41
2. x = 18; solution is 18
Step-by-step explanation:
We can translate the question into an equation. Because the question is asking to find a specific number we don't know the value of, let that unknown number be a variable; x. We know, from the information given in the question, that x added to 23 is equal to 41. When we're adding a number to another number, we use the + symbol. So far, we have x + 23. Now, the last part says "equals 41". We can imply when something equals another thing, we use the = sign. Then, we're left with the equation: x + 23 = 41.
To solve for this equation:
x + 23 = 41
Subtract 23 from both sides:
x + 23 - 23 = 41 - 23
x = 18
Therefore, our solution is 18.
HELP ASAP 10 POINTS BRAIN LIST THANKS AND 5 STAR BUT IF CORRECT
Answer:
3 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 1/2 * 3/2 * 4
V = 3 cm^3
Answer:
3 cm³
Step-by-step explanation:
V = L * W * H
V = (4 cm)(3/2 cm)(1/2 cm)
V = 12/2 * 1/2 cm³
V = 12/4 cm³
V = 3 cm³
Preston's Bakery sold one customer 4 dozen chocolate cookies and 9 dozen oatmeal cookies for $126. The bakery also sold another customer 8 dozen chocolate cookies and 5 dozen oatmeal cookies for $122. How much do the cookies cost?
Let's refer to the chocolate cookies using the variable c, and the oatmeal cookies using the variable o.
Using the information we have, we can set up two equations for the two different transactions.
4c + 9o = 126
8c + 5o = 122
Now, we need to solve for one of the variables in the first equation. I will solve for o.
4c + 9o = 126
9o = 126 - 4c
o = 14 - 4/9c
Next, we'll take this value for o and plug it into the second equation for the variable o. Then we can solve for c.
8c + 5(14 - 4/9c) = 122
8c + 70 - 2 2/9c = 122
5 7/9c + 70 = 122
5 7/9c = 52
c = 9
Finally, we can use the value of c and plug it back into the first equation to solve for o.
o = 14 - 4/9(9)
o = 14 - 4
o = 10
1 dozen chocolate cookies costs $9
1 dozen oatmeal cookies costs $10
Hope this helps!
The+pie+chart+shows+the+age+distribution+in+a+village+of+120+a)+how+many+people+are+older+than+60+=+120+B)+What+percentage+of+the+villagers+are+under+25?+I+KNOW+A+I+NEED+TO+KNOW+B
Answer:
if the village is of 120 people and 120 people are over the age of 60 then 0 people are under the age of 25.
Step-by-step explanation:
plzz help will mark brainliest
Answer:
Step-by-step explanation:
x^2 + 11y + y^2 -3x + 11 = 5x +23 - y
First put it into general form by setting the equation to zero and moving all variables to one side.
x^2 + 11y + y^2 -3x + 11 = 5x +23 - y
+y -5x -11 -11
x^2 + y^2 - 8x + 12y = 12
Then solve by completing the square
x^2 - 8x y^2 + 12y = 12
(x - )^2 + (y + )^2 =
Half of 8 is 4
Then square 4 to get 16
Therefore, we plug the 4 into the first parentheses
x^2 - 8x + 16 + y^2 + 12y =12 +16
(x - 4)^2 + (y + )^2 =
Half of 12 is 6
Squared, that would be 36
plug this into the second parentheses
x^2 - 8x + 16 + y^2 +12y + 36 = 12 + 16 + 36
(x - 4)^2 + (y + 6)^2 =
12 + 16 = 28 + 36 = 64
Therefore, the equation of the circle is: (x - 4)^2 + (y + 6)^2 = 64
Which is option D
The air in poultry-processing plants often contains fungus spores. Inadequate ventilation can affect the health of the workers. The problem is most serious during the summer. To measure the presence of spores, air samples are pumped to an agar plate and "colony-forming units (CFUs)" are counted after an incubation period. Here are data from two locations in a plant that processes 37,000 turkeys per day, taken on four days in the summer. The units are CFUs per cubic meter of air.
Day Day 2 Day 3 Day 4
Kill room 3175 2526 1763 1090
Processing 529 141 362 224
The spore count is clearly higher in the kill room. Give sample means and a 99% confidence interval to estimate how much higher the spore count is in the kill room?
Answer:
-611.031 < μd < 4260.031
Step-by-step explanation:
This is a matched pair design :
______Day1 Day 2 Day 3 Day 4
x1 Kill room 3175 2526 1763 1090
x2 Processing 529 141 362 224
First we obtain the difference, d ;
d = (x1 - x2)
d = 2646, 2385, 1401, 866
The mean difference, dbar = Σd/ n = 7298 / 4 = 1824.5
The standard deviation of difference,
Sd = √(Σx-dbar)²
Using calculator, Sd = 834.086
The 99% confidence interval :
Mean ± margin of error
dbar ± margin of error
Margin of Error = Tcritical * Sd/√n
Tcritical at 99%, df = n-1 ; df = 4-1 = 3
Tcritical = 5.84
Margin of Error = 5.84 * 834.086/√4 = 2435.53112
Confidence interval = 1824.5 ± 2435.53112
(-611.031 ; 4260.031)
(12) In a relay race, Mia ran 1.43 kilometers. Then she passed the baton to Gerald, who ran an
additional 2.7 kilometers. How many kilometers did they run in all?
a. 4.13 Kilometers
b. 3.36 kilometers
G. 3.50 Kilometers
d. 1.70 kilometers
Answer:
4.13
Step-by-step explanation:
To find out how many kilometres they ran in all you have to do 1.43+2.7 =4.13
Answer:
a
Step-by-step explanation:
Mai running=1•43km
Gerald=2•7km
Mai+Gerald=they run in all
1.43+2.7 = 4.13km
The bottom of a slide at the playground is 6 feet from the base of the play set. The length of the slide is 10 feet. How tall is the slide?
Answer:
100 = 36 + h^2
h^2 =64
h=8
Step-by-step explanation:
Answer:
[tex] \sqrt{136} [/tex]
A conjecture and the two-column proof used to prove the conjecture are shown.
A right angled triangle P Q R. A ray extends horizontally left to QR. A ray extends down to the right of QR. The interior angle is labeled as 1 and 2.
Drag an expression or phrase to each box to complete the proof.
Answer:
Just took the quiz hopefully this helps!
Step-by-step explanation:
Thank you guys for helping me !! Can you help me with this question ?
Answer:
(A). x² + y² - 4x + 6y - 3 = 0
Step-by-step explanation:
(x - 2)² + (y + 3)² = 4²
x² - 4x + 4 + y² + 6y + 9 - 16 = 0
x² + y² - 4x + 6y - 3 = 0
Which expression is equivalent to
Answer:
[tex]\frac{(x+2)}{(x-1)}[/tex]
Step-by-step explanation:
[tex]\frac{x^2 + x -2}{x^2 -2x+1}[/tex] =
[tex]\frac{(x+2)(x-1)}{(x-2)(x-1)}[/tex] =
[tex]\frac{(x+2)}{(x-1)}[/tex]
1+1=x x+2=y y+4=z z+z = ?
Plz help out will give brainliest
Answer:
10 degrees = C
Step-by-step explanation:
Total internal angles add to 180 degrees.
Add all values of c and set equal to 180.
18c = 180.
c=10
Answer:
c = 10
Step-by-step explanation:
3c + 6c + 9c = 180 degrees. Every triangle has 180 degrees.
18c = 180 Combine the like terms. Divide by 18
18c/18 = 180/18
c = 10
Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.
Answer:
Consider the equation 3x + 2y = 12
Now, square both sides:
(3x + 2y)^2 = 122
=> 9x^2 + 12xy + 4y^2 = 144
=>9x^2 + 4y^2 = 144 – 12xy
From the questions, xy = 6
So,
9x^2 + 4y^2 = 144 – 72
Thus, the value of 9x^2 + 4y^2 = 72
Answered by GAUTHMATH
Is "y = 0.860x + 3.302" a function? Explain why.
Answer:
Yes.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Any line that follows slope-intercept form will be a function.
If we graph this line, we can see that each x-value has its own y-value and it passes the vertical line test.
∴ y = 0.860x + 3.302 is indeed a function.
find the scale factor
Answer:
I think its 1.4
Step-by-step explanation:
if you divide 42 by 1.4 it makes 30 and if u multiply 30 by 1.4 it makes 42
Answer:
the scale factor is 7/5
Step-by-step explanation:
42/30=
42/30=
then you find a common factor between the two is 6, so you divide both sides of the fraction by 6 to get 7/5. and because they both are the same you know that they both have the same scale factor. Which is 7/5. I am not quite sure if you need to find the missing side length but in case you do multiply 40 by 7/5 so it looks like 40/1 x 7/5. 40 x 7 = 280. 280/5 = 56. so your side length is 56.