Answer:
what to do which lesson of ath
A farmer notes that in a field full of horses and geese there are 30 heads and 84 feet. How many of each animal are there?
Answer:
There are 12 horses and 18 geese.
Step-by-step explanation:
We are given that in a field full of horses and geese, a farmer notes that there are 30 heads and 84 feet.
We can write a system of equations using the given information.
Let the amount of horses there are be represented by h and geese by g.
Assuming each horse and geese has only one head, we can write that:
[tex]\displaystyle h + g= 30[/tex]
And assuming that each horse has four feet and each geese has two feet, we can write that:
[tex]4h + 2g = 84[/tex]
This yields a system of equations:
[tex]\displaystyle \left\{\begin{array}{l} h + g = 30 \\ 4h + 2g = 84 \end{array}[/tex]
We can solve it using substitution. From the first equation, isolate either variable:
[tex]g = 30 - h[/tex]
From the second, we can first divide by two:
[tex]2h + g = 42[/tex]
And substitute:
[tex]2h + (30 - h) = 42[/tex]
Combine like terms:
[tex]h + 30 = 42[/tex]
Subtract:
[tex]h = 12[/tex]
Therefore, there are 12 horses.
And since the total number of animals is 30, there must be 30 - 12 or 18 geese.
In conclusion, there are 12 horses and 18 geese.
Checkered Cab Taxi charges a $ 5.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.25 per mile. Katie has no more than $ 20 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?
Answer: 56.2 miles
Step-by-step explanation:
5.95+0-25x less or equal 20
0.25x less or equal 20 - 5.95
0.25x less or equal 14.05
X less or equal 14.05/0.25
X = 56.2
Katie can travel at most 56.2 miles in $20.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
According to the given question.
The total money Katie have = $20.
Amount charged by cab taxi for ride = $5.95
Charges for per mile ride = $0.25
Let Katie travel x miles without exceeding her expending limit.
From the given condition we get a inequality
[tex]20\geq 5.95+0.25x[/tex]
Solve the above inequality for x.
⇒[tex]20 - 5.95\geq 0.25x[/tex]
⇒ [tex]14.05\geq 0.25x[/tex]
⇒[tex]x\leq \frac{14.05}{0.25}[/tex]
⇒[tex]x\leq 56.2miles[/tex]
Katie can travel at most 56.2 miles in $20.
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a fair six sided die is rolled find the probability of getting a 2
Answer:
1/6
Step-by-step explanation:
solve for x of the given angle
Answer:
m<ABC = 92
Step-by-step explanation:
(3x + 23) and 4x are equal angle wise. So we have the equation:
(3x + 23) = 4x
3x = 4x - 23
-x = -23
x = 23
Multiply x by 4 which is 92
which of the following shows 2.1851 rounded to the nearest hundredth?
A. 2.18
B. 2.185
C. 2.19
D. 2.2
Answer:
C. 2.19
Step-by-step explanation:
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8. In the 24-hour clock system, midnight is written as ____.
In the 24-hour clock system, midnight is written as _0h_
Answer:
00:00
Step-by-step explanation:
brainiest to whoever is right there
Answer:
If we divide 360 degree into four parts the all four parts hold 90 degree and the degree of angle DMB= 60.
60 degree.
Guided Practice
Find the balance in the account.
$500 principal earning 4% compounded quarterly, after 6 years.
A.
$632.66
B.
$530.76
C.
$634.87
Answer:
C.
$634.87
Step-by-step explanation:
A=500×(1+0.04÷4)^(4×6)
A=634.87
Please help!! Will give brainlist is answer right
Answer:
AStep-by-step explanation:
Josephine enlarged a picture using a photocopier the original photo was 3.5 inches by 5 inches the copy was 8.5 by 12.5 inches . What is the scale factor of the dilation?
Answer:
the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.
Step-by-step explanation:
Step 1:
Measure the change in X and Y of a single length of the original image.
X1 = 3.5
Y1 = 5
Step 2:
Measure the change in X and Y of the same length on the modified image.
X2 = 8.5
Y2 = 12.5
Step 3:
use formula SF = X2/X1 = Y2/Y1
(SF = Scale Factor Dilation)
(X2 and Y2 = change in X and Y of the same length on the modified image.)
(X1 and Y1 = change in X and Y of a single length of the original image.)
X2 = 8.5
8.5/X1
X1 = 3.5
8.5/3.5
8.5/3.5 = 2.4
2.4
1 : 2.4
PLEASE HELP
-10+7/4p=-38
Show your work in details if you can, I have a hard time understanding this.
Answer:
Here is your answer . Hope it helps you
Answer:
p = -49
Step-by-step explanation:
-10 + 7/4p = -38
+7/4 p = -38 + 10. ..........(-10 taken to other side)
+7/4 p = -28
p = -28 × 7/4 ........( now taken 7/4 to other side)
p = -196/4 .......(here we have multiplied . (-28×7 )
p = -196/4
p = -49
so p = -49
MARK AS BRAINLIST IF IT IS USEFUL
How would I write 15 less than the product of two and k is 15 as an equation?
Answer:
2k-15=15
Step-by-step explanation:
product if 2 and k is 2k
15 less than 2k is 2k-15
15<(2xk)
k = 15
2x15=30
15<30
hope this helps :)
brainiest to whoever right
Answer:
Step-by-step explanation:
DC=2-0=2
Or
DC=√[(2-0)²+(-2-(-2))²]=√[4+(-2+2)²]=√4=2
BC=(0-(-2))=2
Or
BC=√[(2-2)²+(-2-0)²]
=√[0+4]
=2
AB=√[(2-0)²+(0-4)²]
=√[4+16]
=√20
=2√5
Perimeter=2[DC+BC+AB]
=2[2+2+2√5]
=2[4+2√5]
=8+4√5 Units
Sue went to the store and bought 20 fish for $45, how many neon fish did she buy if the angel fish cost $3 and the neon fish cost $2?
Answer:
1 fish
Step-by-step explanation:
because it gaysjsjdjd
Which of the following are characteristics of a descriptive statistical study? Select all that apply.
Answer:
you have not given full question.. so please try again.
may this will help you :
Descriptive statistics summarizes or describes the characteristics of a data set. Descriptive statistics consists of two basic categories of measures: measures of central tendency and measures of variability (or spread). Measures of central tendency describe the center of a data set.
The Willis Door company gave its employees
bonuses. Six employees received a bonus of $940
each; 4 employees received a bonus of $820 each;
5 employees were paid a bonus of $1150 each.
What was the average bonus paid to these
employees?
Answer:
The answer is $194
Step-by-step explanation:
60% of a number is 1,944. 61% is 1,976.4. What is 2% of that number?
Answer: 64.8
Step-by-step explanation:
60/100=1944/x (cross multiplication
(1944*100)/60 = 3240
2% of 3240 =
2/100 = x/3240
64.8
( this helps with percentage (%/100=is/of) and cross multiplication)
0.111111.... a rational or irrational number
What is 1.7¯ expressed as a fraction in simplest form?
16/9.................
Answer:
16/9
Step-by-step explanation:
Determine the perimeter of the shape to the nearest centimeter. (Picture included)
Answer:
44 cm
Step-by-step explanation:
So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.
Hope this helps! :D
What is the decimal equivalent for a centimeter?
what is 3.6 times 0.05. equal
Step-by-step explanation
Then you count how many numbers are after the decimal point(6,0,0,5) making 4. So the decimal point will be inserted by counting 4 spaces from the back.
The graph of f(x) = 3x + 8 is shown.
Which statement is true?
ТУ
3
f(x)
O The function is only increasing when x2-8.
O The function is only increasing when x 20.
O The function is always decreasing.
O The function is always increasing.
-16
-12
8
X
-2
3
Answer:
the function is always increasing
Step-by-step explanation:
if you look at the graph, as x increases, y increases, no matter how small the increase
evaluate the expression when b = 4 and y = -6.
-b + 5y
Answer:
Answer = -34
Step-by-step explanation:
B = 4 ; y = -6
So,
-4 + (5) (−6)
= −4 + −30
= −34
Hope you get it :)
The value of expression will be;
⇒ - 34
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - b + 5y
And, The values are,
⇒ b = 4, y = - 6
Now,
Since, The expression is,
⇒ - b + 5y
Substitute b = 4, y = - 6, we get;
⇒ - 4 + 5 × - 6
⇒ - 4 - 30
⇒ - 34
Thus, The value of expression is,
⇒ - 34
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Multiply: 1/2 x 1 315 x 2 719 =
mo
Answer:
the answer is 1787742.5
Step-by-step explanation:
this is usually a calculator question so use a calculator and put 1/2 ×1315×2719
y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.
Answer:
[tex]a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]
Step-by-step explanation:
[tex]y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]
Simplify: (5x² – 3x + 7x) + (9x² + 2x² + 7x)
O 14x2 – x2 + 14x
O 14x2 + 13x
O 16x4 + x3
O 16x2 + 11x
O 16x2 – 11x
Answer:
16x^2+11x
Step-by-step explanation:
(5x² – 3x + 7x) + (9x² + 2x² + 7x)
Combine like terms
5x^2+9x^2+2x^2-3x+7x+7x
16x^2+11x
Which equation is represented by the graph?
Answer:
The choose D. y=|x|–1
Your choice is right
I hope I helped you^_^
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain the Answer in simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh
[tex]p(pressure) = s(atmospheric \: pressure) + d(density \: of \: the \: liquid)g(acceleration \: due \: to \: gravity)h[/tex]
Step-by-step explanation:
where s is the atmospheric pressure, d is the density of the liquid and g is the acceleration due to gravity.