d = number of dimes
n = number of nickels
The jar contains a total of 107 coins, so
d + n = 107
Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so
0.10d + 0.05n = 6.70
Multiply both sides of the second equation by 100 to eliminate the decimal points:
10d + 5n = 670
Multiply both sides of the first equation by -5:
-5d - 5n = -535
Add the corresponding sides of these two equations to eliminate n and solve for d :
(10d + 5n) + (-5d - 5n) = 670 + (-535)
(10 - 5)d + (5 - 5)n = 670 - 535
5d = 135
d = 135/5 = 27
Then
n = 107 - d = 80
so the jar contains 27 dimes and 80 nickels.
An average Sandhill crane is 37 inches tall. This is 22 inches less than the average Whooping Crane’s height. Write and solve an equation to show the average height of the Whooping crane.
Answer:
37 - 22 = WC height
Step-by-step explanation:
Simplify the following expression:
[tex]7x^{5}y^{3}(x^{5} y^{5} )[/tex]
all expressions equivalent to 6x+1-(3x-1)
Area of Shape please !!!
Answer:
135 cm squared
Step-by-step explanation:
9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.
what is the slope of the line if the equation is 5x-3y=9
Answer:
Slope = 5/3
Step-by-step explanation:
5x - 3y = 9
Write in slope y-intercept form: y = mx +b
-3y = -5x + 9
Divide the whole equation by (-3)
[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]
Slope =5/3
determine the intercept line of y=-7x+3y=−7x+3
Answer:
3
Step-by-step explanation:
The slope-intercept form for an equation allows us to quickly identify the intercept of a graph. The general form of slope-intercept is written as:
y = mx + b
Where m is the slope, b is the intercept, and y & x are two data points from the graph.
Which expression is equivalent to the one below?
14(2x + 4)
Answer:
Step-by-step explanation:
14(2x+4)
14(2(x+2))
28(x+2) or
28x+56
Answer: 28x + 56 or 14(2x) + 14(4). (They are equivalent)
Step-by-step explanation:
Distribute 14 to both 2x and 4.
14(2x+4) = 14(2x) + 14(4)
=28x + 56
solve it 7/10+2/3
pls explain
solve the x. 4x+9=2x-1
Answer:
The answer is x = -5.
Step-by-step explanation:
1) Subtract 2x from both sides.
[tex]4x + 9 - 2x = - 1[/tex]
2) Simplify 4x + 9 - 2x to 2x + 9.
[tex]2x + 9 = - 1[/tex]
3) Subtract 9 from both sides.
[tex]2x = - 1 - 9[/tex]
4) Simplify - 1 - 9 to -10.
[tex]2x = - 10[/tex]
5) Divide both sides by 2.
[tex]x = - \frac{10}{2} [/tex]
6) Simplify 10/2 to 5.
[tex]x = - 5[/tex]
Therefor, the answer is x = -5.
Please please someone help me!!! ill give brainliest this is 20 points pleeasee help
Answer:
F = - 20h + 450
Step-by-step explanation:
Since the relationship is linear then the function is of the form
F = ax + b
Calculate a using the slope formula
a = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 410) ) and (x₂, y₂ ) = (1, 430) ← 2 ordered pairs from the table
a = [tex]\frac{430-410}{1-2}[/tex] = - 20 , then
F = - 20h + b ← is the partial equation
To find b substitute any ordered pair from the table into the partial equation
Using (3, 390 ), then
390 = - 60 + b ⇒ b = 390 + 60 = 450
F = - 20h + 450 ← linear function
Some one help pleaseeere
Answer:
m = 2/3, you were correct
Step-by-step explanation:
plot the point on a graph
calculate the rise by going up alongside the y axis
the rise is 2
calcualte the run it takes to get to the second point
the run is 3
m = rise/run = 2/3
m = 2/3
Plz mark as brainliest if correct! Have a nice day!!!
A wheel on Ravi's bicycle is 0.5m in diameter. Ravi races the bicycle for 47m. How many times does the wheel turn as the bicycle travels this distance?
Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.
Answer:
29.9 times or approximately 30 times
Step-by-step explanation:
circumference=[tex]\pi d[/tex]
3.14×0.5
=1.57
so, 47/1.57
=29.9363057325
What’s the answer to this problem?
plz help me with this question
Find g−1(x) when g(x)=3/5x−9.
A) 5/3x+1/5
B)5/3x−1/9
C)5/3x+9
D)−3/5x+9
Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .
Correct Question:
Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:
The word "solution" means . . .
88 is a solution to 1/8x=11 because . . .
Answer/Step-by-step explanation:
✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.
✔️88 is a solution to ⅛x = 11 because:
if we substitute x for 88 into the equation, both sides would be equal.
Thus:
⅛×88 = 11
11 = 11
The number of students enrolled at a college is 14,000and grows 4%each year
Answer:
so what exactly is the question? it's not complete yet, I guess..what do you want me to find?
PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ NO ONE HAS HELPED ME FOR AN HOUR 25 POINTS
The expression 2(4+v)+9v is simplified in several steps below.
For each step, choose the reason that best justifies it.
8+2v+9v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
8+11v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
11v+8
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
Answer:
C, D, A
Step-by-step explanation:
Distributive property
Combining like terms
Communitive property
What is the value of x in the triangle?
Answer:
X is 28
Step-by-step explanation:
All angles in a triangle ad up to 180 degrees.
85 + 67=152
180-152=28.
Hope it helped.
Answer:
28
Step-by-step explanation:
All triangles equal 180.
85+67=152
180-152=28
Your answer is 28
Ratio and simplify the ratio helpp
A hot air balloon is 70 m above the sea. Two buoys A and B are due East of the
balloon.
The angle of depression from the balloon to buoy A is 60°.
The angle of depression from the balloon to buoy B is 40°.
Calculate the distance AB. (Round to the nearest tenth.)
Answer:
Step-by-step explanation:
in the rough drawing i've included we want to find the distance of AC and BC and the subtract the shorter from the longer or
BC- AC = AB
does this strategy seem like a good one?
use the mnemonic SOH CAH TOA to remember how sin, cos, and tan, fit on a triangle
SOH Sin = Opp / Hyp
CAH Cos =Adj / Hyp
TOA Tan = Opp / Adj
where Opp = Opposite side, Adj = Adjacent side , and Hyp = Hypotenuse
we are given an angle and the Opposite side so we can use Tan , since that has the thing we want to find, and the things we know.
when AC is the Adj side it's
Tan(60) = 70 / Adj
Adj = 70 / Tan(60)
Adj = 40.4145
Dist. of AC = 40.4145 m
When BC is the Adj side it's
Tan(40) = 70 / Adj
Adj = 70/ Tan(40)
Adj = 83.42275
Dist. of BC = 83.42275
BC - AC = AB
83.45575 - 40.4145 =43.008
to the nearest tenth AB = 43.0 m
Use the Pythagorean Theorem to find the distance between points F and C.
What is the distance between (-4,-1) and ( -2,-2)
Answer:
-2, -1
Step-by-step explanation:
omg! please help! it’s due in 4 hours and i don’t know the answers to it
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (29pts)
Answer:
answer is B
Step-by-step explanation:
I am in high school and I learned this a month ago anyways
If the length of the segment AB is 5, and BC is 9, and CD is three, find the difference between the furthest and shortest possible distance of AD?
A: 12
B: 13
C: 14
D: 15
E: 16
9514 1404 393
Answer:
E. 16
Step-by-step explanation:
If the order of points on the line is ABCD, the distance between A and D is ...
AB +BC +CD = 5 + 9 + 3 = 17
If the order of points on the line is BADC, the distance between A and D is ...
BC -BA -DC = 9 -5 -3 = 1
Then the difference between the longest and shortest possible distances AD is ...
17 - 1 = 16 . . . . matches choice E
Choose the equation that could be used to solve for the missing side.
HELP ME PLZZZZZ!!
the answer is C because Cos is adj/hyp. Since there is only one option that even has cos involved, it must be the correct answer.
Solve the equation. 1/3a = -5
Answer:
The answer is a = -15
Step-by-step explanation:
1/3a = -5
3 × 1/3a = 3 × (-5)
a = 3 × (-5)
a = -3 × 5
Answer is a = -15
Answer:
a = 15
Step-by-step explanation:
Just answer
The manager of a store increases the price of a popular product by 7%. Let t be the original price of the product. The new price is t + 0.07t. Find an expression equivalent to the new price. I NEED HELP ASAP PLEASEEEEEEEEEEE!!!!
Answer:
0.07t+t
Step-by-step explanation:
The required new expression after increasing the price by 7% is 1.07t, where t is the original price.
The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.
Cost price is the price for the buyer pays to the seller for an object or product.
Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price = t + 0.07t
= 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t
Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.
Learn more about cost price here:
https://brainly.com/question/11027396
#SPJ5
The verticals of the triangle shape are A (-2, 4) , B (-2,3) , and C (-5,2). If ABC is reflected across the line y = -1 to produce the image of A'B'C', What's the coordinate of B' after a reflection across the line y=-1?
Given:
The vertices of a triangle are A (-2, 4) , B (-2,3) , and C (-5,2).
Triangle ABC is reflected across the line y = -1 to produce the image of A'B'C'.
To find:
The coordinate of B' after a reflection across the line y=-1.
Solution:
If a figure is reflected across the line y=b, then
[tex](x,y)\to (x,-(y-b)+b)[/tex]
[tex](x,y)\to (x,-y+b+b)[/tex]
[tex](x,y)\to (x,2b-y)[/tex]
The given triangle ABC is reflected across the line y=-1. So, the rule of reflection is
[tex](x,y)\to (x,2(-1)-y)[/tex]
[tex](x,y)\to (x,-2-y)[/tex]
The coordinates of point B are (-2,3). So,
[tex]B(-2,3)\to B'(-2,-2-3)[/tex]
[tex]B(-2,3)\to B'(-2,-5)[/tex]
Therefore, the coordinates of point B' are (-2,-5).
Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.
Answer:
7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
9) [tex]5log_4(7) - 5log_4(12)[/tex]
11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]
Step-by-step explanation:
[tex]log_3 (\frac{x}{y})^{4}[/tex]
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Use Logarithm of a Quotient which states
[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]
And also use Logarithm of a Power which states
[tex]log_b\ M^{n} = n\log_bM[/tex]
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So using these two properties,
7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
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For #9, use the same logarithm propertied
[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]
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#11 is also the same concept
[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]
It is not - 5 log5(y) since only x is to the power of 5 not y
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Hope this is what you were looking for and helps you! Have a nice day/night :)