Slope = 3/7
y - intercept: y = -3
x - intercept x = 7
At school on Friday the ratio of students who purchased a lunch to students who brought lunch was 4:3. Based on the ratio, how many brought lunch out of 490 students?
Answer:
210 students brought lunch
Step-by-step explanation:
At school on Friday the ratio of students who purchased a lunch to students who brought lunch was 4:3.
The ratio is
Students who purchased: Students who brought
= 4 : 3
The total proportion
= 4 + 3 = 7
The total number of students from the question is : 490
Hence, The number of students that brought lunch is calculated as:
3/7 × 490
= 210 students
Hence, 210 students brought lunch
What is the product? HELP PLEASE
John keeps chickens and rabbits in his fenced backyard. He counts a total of 32 heads and a total of 72 legs in his backyard. Write and solve a system of equations in order to find: How many chickens are in John's backyard? Chickens How many rabbits are in John's backyard? Rabbits
Answer:
System of Equations
c + r = 32 ..... Equation 1
2c + 4r = 72......... Equation 2
We have 28 chickens and 4 rabbits
Step-by-step explanation:
Let the number of chickens be represented by c
The number of rabbits be represented by r
From the question, John counts:a total of 32 heads
32 heads = a total of 32 animals
Hence:
c + r = 32....... Equation 1
c = 32 - r
Also, John counts:
A total of 72 legs in his backyard.
Chickens have: 2 legs
Rabbits have: 4 legs
Hence:
2c + 4r = 72......... Equation 2
System of Equations is:
c + r = 32 ..... Equation 1
2c + 4r = 72......... Equation 2
Lets us substitute 32 - r for c in Equation 2
2(32 - r) + 4r = 72
64 - 2r + 4r = 72
Collect like terms
- 2r + 4r = 72 - 64
2r = 8
r = 8/2
r = 4
This means we have 4 rabbits
Note:
c = 32 - r
r = 4
c = 32 - 4
c = 28
Hence, we have 28 chickens
Write the numbers in order from least to greatest. Please help!!
Answer:
-20, -9, -5, -2, 2.2, 2.5, 2.7
Step-by-step explanation:
Answer:
-20, -9, -5, -2, 2.2, 2.5, 2.7
Step-by-step explanation:
The Big Ben clocktower in London is approximately 316 feet tall. Shana is standing nearby and notices that she casts a 4-foot shadow. If Shana is 5 feet tall, find the length of Big Ben's shadow?
Answer:
The length of Big Ben shadow is 252.8 feet
Step-by-step explanation:
The given parameters are;
The height of the Big Ben clocktower in London ≈ 316 feet tall
The length of the shadow Shana casts = 4-foot
The height of Shania = 5 feet
Therefore, we have, by similar triangles;
[tex]\dfrac{The \ length \ of \ the \ shadow \ Shana \ casts }{The \ height \ of \ Shania} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{The \ height \ of \ the \ Big \ Ben \ clocktower}[/tex]Substituting the values, gives;
[tex]\dfrac{4 \ feet}{5 \ feet} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{316 \ feet}[/tex]
[tex]The \, length \, of \, the \, shadow \, The \, Big \, Ben \ clocktower \ casts = 316 \ feet \times \dfrac{4 \ feet}{5 \ feet} = 252.8 \ feet[/tex]
The length of the shadow The Big Ben clocktower casts = The length of Big Ben shadow = 252.8 feet
Answer:
252.8 feet
Step-by-step explanation:
Each wall measures about 65 feet tall and 80 feet wide. If Os Gemeos did a sketch on paper that was 8 inches tall for one wall, how wide would their sketch have to be to stay in proportion?
Given :
Wall measures about 65 feet tall and 80 feet wide.
To Find :
If Os Gemeos did a sketch on paper that was 8 inches tall for one wall, how wide would their sketch have to be to stay in proportion.
Solution :
Let, width of sketch is x.
Since, they are in proportion :
[tex]\dfrac{65}{10}=\dfrac{65+8}{x}\\\\x = \dfrac{10\times 73}{65}\\\\x = 11.23\ feet[/tex]
Therefore, width of sketch should be 11.23 feet.
Hence, this is the required solution.
Ms. Reynold's sprinkler system has 3 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 18 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?
It will take ___
minutes for Ms. Reynold to water her lawn.
Answer:
I think that it would take her 27 minutes
for a certain base, b, logb^8=3 and logb^0.5=-1 The value of logb^4b is 0, -3, 3
Answer:
3.
Step-by-step explanation:
From the question given above, the following data were obtained:
Logᵦ 8 = 3
Logᵦ 0.5 = – 1
Logᵦ 4B =?
Next, we shall determine the value of B. This can be obtained as follow:
Logᵦ 8 = 3
8 = B³
Take the cube root of both side.
B = 3√8
B = 2
Finally, we shall determine the value of Logᵦ 4B. This can be obtained as follow:
Logᵦ 4B =
B = 2
Logᵦ (4×2) = Logᵦ 8
Recall from the question given:
Logᵦ 8 = 3
Therefore,
Logᵦ 4B = Logᵦ 8 = 3
Thus, the value of Logᵦ 4B is 3.
Answer:
It ends up being 3
Step-by-step explanation:
PLATO
Allison's cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and would like to have at most 5 more
cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and
cookies (b) that she should buy? (a > 0,b> )
Answer:a+b ≥40
5+a≤ b
2.50a+1.50b≤ 105
i believe
Step-by-step explanation:
The equations would be:
a+b ≥40 (cupcakes +cookies must be at least 40 total)
5+a≤ b
(At most 5 more cupcakes then cookies)
2.50a+1.50b≤ 105
(The cost of cookies and cupcakes must be less than $105)
Sylvester wants his hand to have a sum of -1. Click on three cards that Sylvester could choose. . -9 , 5 , -7, 1 , 4 , -2 , 3
A rectangular yard measuring 39ft by 63ft is bordered (and surrounded) by a 2 ft fence. Inside, a walk that is wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
Given :
A rectangular yard measuring 39 ft by 63 ft is bordered (and surrounded) by a 2 ft fence.
To Find :
The area of this walk.
Solution :
Area of whole park :
[tex]A=39\times 63\ ft^2\\\\A=2457\ ft^2[/tex]
Now, length and breadth after removing the fences is l = 63 - 2( 2) = 59 ft and b = 39 - 2( 2 ) = 35 ft.
Area of inner park :
A' = 35 × 59 ft²
A' = 2065 ft²
Therefore, area of fencing is 2457 - 2065 = 392 ft² .
Hence, this is the required solution.
REWARDING 95 POINTS Which statement is true? Select all that apply.
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x
Answer:
Answer D
Step-by-step explanation:
how do we do this pls help with an explanation:))
Answer:
x = 1.2
Step-by-step explanation:
[tex]\frac{10x-3}{3}[/tex] + [tex]\frac{5x+2}{4}[/tex] = 5
You would want to make the denominators of both fractions the same first. Their lowest common multiple is 12, so we shall make the denominators 12 by multiplying the first fraction by 4 and the second fraction by 3.
[tex]\frac{4(10x-3)}{12}[/tex] + [tex]\frac{3(5x+2)}{12}[/tex] = 5
Simplify.
[tex]\frac{40x-12}{12}[/tex] + [tex]\frac{15x+6}{12}[/tex] = 5
Now we can combine both fractions together since their denominator is the same.
[tex]\frac{40x-12+15x+6}{12}[/tex] = 5
Simplify.
[tex]\frac{55x-6}{12}[/tex] = 5
Isolate 55x-6.
55x-6 = 5 × 12
Simplify.
55x-6 = 60
Isolate the 55x.
55x = 60+6
Simplify.
55x = 66
Find x.
x = [tex]\frac{66}{55}[/tex]
Simplify.
x = 1.2
Jennie has $300 and she spends $15. What percent of her money is spent?
Answer:
The answer is 5%
Step-by-step explanation:
Hope this helps!!
help me, lol.
Well appreciated!
Answer:
x=-35
Step-by-step explanation:
can you mark me as brainliest pls
MATH QUESTION
There are 60 minutes in
one hour, 24 hours in 1 day, and 7 days
in one week. About how many minutes
are in one week? Explain how you
found your estimate.
Please make sure the answer is an estimate.
Answer:
about 10,080
Step-by-step explanation:
I did 24 times 7 then that answeer which is 168 by 60 whoich is 10,080
½(4x - 8) = 6x + 10 solve for x and show work.
Answer:
x = -7/2
Step-by-step explanation:
½(4x - 8) = 6x + 10
simplify
2x - 4 = 6x + 10
subtract 6x from both sides
-4x - 4 = 10
add 4 to both sides
-4x = 14
divide both sides with -4
x = -14/4
simplify
x = -7/2
Answer:
½(4x - 8) = 6x + 10
4x-8=12x+20
-20-8=12x-4x
-28=8x
x=-28/8=3.5
HALP I WILL GIVE BRAINLIEST
9514 1404 393
Answer:
Mark the lower tick marks with hour numbers; see what hour corresponds to 2/3 mile
Step-by-step explanation:
The upper number line is marked off in 1/3 mile increments.
The tick marks on the lower line divide the unit distance into 6 parts, instead of 3, so each mark on the lower line corresponds to 1/6 mile.
The problem statement tells you the completion rate is 1/6 mile per hour, so we can number the lower tick marks 0, 1, 2, 3, 4, 5, 6 hours, leaving the marks on the upper number line at 1/3 mile, 2/3 mile, and 1 mile.
Then the lower tick mark we have labeled 4 hours will correspond to the upper tick mark labeled 2/3 mile.
__
To solve the problem using number lines, mark the number lines with values that correspond. Extend the numbering as required to answer the question asked.
The length of rectungular field is 50m and its breadth is 40m. calculate its area in acre and hectare
Answer:
90
Step-by-step explanation:
40+50 ......................
Answer:
0.4942108acre,0.2 hectare
Step-by-step explanation:
Given
length of rectungular field =50m
its breadth = 40m.
Solution
Area=length×breadth
=50×40
=2000m^2
1)1 square metre =0.000247 acre
So2000m^2=0.4942108acre
2)2000m^2=0.2 hectare
24tenthousands eqaul?
Answer:
240000
Step-by-step explanation:
Answer:
240,000
Step-by-step explanation:
Pretend it is only 4 ten thousands. It would be 40,000. Since it is 24, there are 2.4 times more digits, so it would be 240,000 since it is at least 10 times more than a thousand which would be the 40,000 .
In case anyone needs 24 ten thousandths in the future:
0.0024
0.00024 is equal to 24 hundred-thousandths and there are tenths (0.1), hundredths (0.01), and thousandths (0.001). Then ten thousandths would just be a step lower (0.0001) but since there are 24, it would go into the thousandths place but have the four in the ten thousandths. So it would be 0.0024.
a train travelling at 60 km per hour completes the journey in 8 hour. How much faster would it have to travel to cover the same distance in 6 hour
Answer:
Total distance covered: 60x8 = 480
Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.
initial velocity : 60 km/hr.
Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.
Step-by-step explanation:
If f(x)=x2+3x−2, find f(−2).
Answer:f(-2)=-12
Step-by-step explanation:
Apply the (-2) to the x in the equation
(-2)2+3(-2)-2
Simplify
-4-6-2
-12
Answer:
Answer:f(-2)=-12
Step-by-step explanation:
Apply the (-2) to the x in the equation
(-2)2+3(-2)-2
Simplify
-4-6-2
-12
The equation x^2 + x = 42 is NOT written in standard
form. What would you need to do to get it into Standard
Form? What is the equation in Standard Form?
Answer:
x^2+x-42=0 (standard form)
Step-by-step explanation:
2x-9y=8 -5x+8y=20 find x and y
9514 1404 393
Answer:
(x, y) = (-244/29, -80/29)
Step-by-step explanation:
A graph (2nd attachment) shows the solution to be non-integer values, so we'll use the "cross multiply method" to find the solution.
Rewriting the equations to general form gives ....
2x -9y -8 = 0
5x -8y +20 = 0
Writing the coefficients in two rows of four, we have the table as in the first attachment. (The first column is repeated as the 4th column.)
Now, the cross product differences are formed. Each "orange" cross product difference is the difference of the product of "blue" coefficients and the product of "yellow" coefficients. The same formula is copied to the right.
These difference numbers go, left to right, into the form ...
1/p1 = x/p2 = y/p3 . . . . . . where p1, p2, p3 are the cross product differences
In this problem, the solution is ...
x = -244/29 ≈ -8.414
y = -80/29 ≈ -2.759
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. The following system of equations models this scenario: 4x = 8 + 3y x − 2y = −3 What was the temperature of City A and City B on that day?
Answer:
a
Step-by-step explanation:
i just took the test.
The temperature of City A is 5° C and temperature of City B is 4° C.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
4x = 8 + 3y.....................(1)
x − 2y = −3.......................(2)
Solving Equation (1) and (2), we get
4x = 8 + 3y
4( -3 + 2y) = 8 + 3y
-12 + 8y = 8 +3y
8y - 3y = 8 + 12
5y = 20
y= 4
and, x = -3 + 2y = -3 +2(4) = -3 + 8 = 5
Hence, the temperature of City A is 5° C and temperature of City B is 4° C.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
8. A right triangle has an angle
measure of 52.49. What is the
value of x, the missing angle?
Answer:
let the missing angle be x
now
x+52.49+90=180(being the sum of traingle)
or,x=180-142.49
or,x=37.51
answer
Evaluate the expression 1^4 + 3(10 - 2)^2. Show your work.
Answer:
193
Step-by-step explanation:
30 pointssssss!!!! HELPP
The functionf(x)=3x+4 is a linear function. Let g(x) represent f(x) after a horizontal translation 2 units to the left.
What is the equation for the function g(x)?
Answer:
A horizontal translation to the left for the function would be as follows:
g(x) = (3x+2) +4
Step-by-step explanation:
PLEASE PLEASE HELP I WILL GIVE BRAINALIST
what points do i graph and what is the slope?
Answer:
(2/3)
Step-by-step explanation:
Answer:
I am pretty shore it is -1 and 1.
I think
Step-by-step explanation:
The segments shown below could form a triangle.
Answer: True
Step-by-step explanation: