The answer of Coin word problem is Sarah has 425 quarters.
What is a Coin word problem?There are often two different equation types in coin word problems. The total number of coins is described by one equation, while the total amount of money is described by the other equation. However, let's choose some variables that will represent the problem's unknown values before we begin creating our equations.
Word Problems, also known as story problems, can be found in both daily life and the Common Core State Standards for every school level,
Let q be the number of quarters and d be the number of dimes
Then we are doing as :
q + d = 600 → d = 600 - q (1)
0.25q + 0.10d = 123.75 (2)
Sub (1) into (2) for d
0.25q + 0.10 ( 600 - q) = 123.75
simplify,
0.25q + 60 -0.10q = 123.75
0.15q + 60 = 123.75 (subtract 60 from both sides)
0.15q = 63.75 ( divide both sides by 0.15)
q = 425
Therefore, she has 425 quarters
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Beth is making a garden plot which measures 6 open parentheses square root of x plus 2 end root close parentheses units in length and open parentheses 5 square root of x plus 2 end root close parentheses units in width. What is the area of the garden?
The area of the garden whose length and width as given in the task content is; 30 (x + 2) square units.
What is the area of the garden plot whose length and width are as described?It follows from the task content that the expression which represents the area of the garden plot whose dimensions are as given.
Recall that Area, A = length × width.
Therefore, since length = 6 (√(x + 2)) units
The width = (5 √(x + 2) ) units
Hence, the area of the garden plot as required in the task content is; 6 (√(x + 2)) × ( 5 √(x + 2) )
= 30 (x + 2) square units
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1. If Jose says that 75% of his class of 28 students
rides the bus every day, how many students ride
the bus?
a. 25
b. 15
C. 21
(d. 10
Find the percent decrease from 133 to 120. Round your answer to the nearest tenth
Answer:
Approximately - 9.7%
Step-by-step explanation:
By using the percent change formula, you will be able to calculate the percent decrease.
(b-a)/a times 100 <-- (percent change formula)
(120-133)/133 times 100
-13/133 times 100
-9.7744%
Answer:
9.8% decrease
Step-by-step explanation:
You want the percent decrease from 133 to 120.
Percent changeThe amount of change as a percent can be found using the formula ...
percent change = ((new value)/(old value) -1) × 100%
Here, the new value is 120, and the old value was 133. The change is ...
percent change = (120/133 -1) × 100% ≈ (0.90226 -1) × 100%
= -0.09774 × 100% ≈ -9.8%
The change from 133 to 120 is a 9.8% decrease.
__
Additional comment
When the sign of the change is negative, as here, the change is a decrease. If the sign is positive, the change is an increase. That is, a change of -9.8% is a 9.8% decrease. (You can use either the minus sign or the word "decrease" to indicate the direction of the change. The acceptable form of the answer will depend on your grader.)
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which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
A. The function shown on the graph has a smaller rate of change, but
a higher starting point.
O B. The function shown on the graph has a greater rate of change, but
a lower starting point.
C. The function shown on the graph has a greater rate of change and
a higher starting point.
D. The function shown on the graph has.a omaller rate of change and
a lower starting point.
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
What is rate of change in linear graph?Rate of change = slope of a linear graph.
Given the linear function, [tex]y=4x+2[/tex] , the rate of change here is represented by the slope of the line, which is 4.
Let's find the rate change of the function represented on the graph using slope formula:
Rate of change = [tex]\frac{y2-y1}{x2-x1}[/tex]
Use coordinates of any two points on the line. Let's take,
[tex](0,4)= (x1,y1)\\(1,7)=(x2,y2)[/tex]
Rate of change = [tex]\frac{7-4}{1-0} = 3[/tex]
Rate of change of the linear function of the graph = 3.
Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.
The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.
The starting value of the linear function, y = 4x + 2 is 2.
The starting value of the function on the graph is 4. At this point, x = 0.
Thus, the function on the graph has a higher starting point.
The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
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(-2.04)(4.08) =
A)
8.3232
B)
2.04
-2.04
D)
-8.3232
Answer:
The correct answers is -8.3232
Step-by-step explanation:
Given the answer for part D, write an expression that will tell you the direction the robot is going if, in the course of its journey, it turns left 21 times and turns right 22 times. Does the order the robot makes the turns in matter for the purpose of knowing the direction it is finally facing?
The answer to part D is in the picture...
The robot is moving in the direction indicated by the formula ((i)²¹*(-i)²²)d, or in the beginning direction.
What is complex plain?
When a line is rotated in the complex plane either clockwise or anticlockwise, it is multiplied by -i or I depending on which direction the line is rotated. The direction vector is rotated 90 degrees in the clockwise direction to make a right turn. It is the same as increasing the complex number by -i.
A left turn is represented as a 90° anticlockwise rotation of the direction vector. It is comparable to increasing the complex number by i.
There are 21 left turns of the robot. The direction vector will now be di21. Once it has been rotated 22 times to the right, the direction vector will now be (di²¹)*(-i)²²=d((i)²¹*(-i)²²).
Consequently, the robot's current direction is:
d((i)²¹*(-i)²²)= di²¹⁺²²=di⁴³= d(-i)= -di
No matter what, the direction will always be the same, hence the sequence is irrelevant.
Hence, the equation that will indicate where the robot is moving is ((i)²¹*(-i)²²)d, or in the starting direction. Furthermore, the final direction it faces does not depend on the order.
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Joanna polled her peers on their favorite color. The results were 3/4 said blue, 10% said orange, and 0.15 said purple. If Joanna polled 40 peers how many total peers said their favorite color was orange or blue?
Answer:
Orange = 4 peers
Blue = 30 peers
Step-by-step explanation:
Orange
Step 1: Find 10% of the total (40): Convert 10% to decimal form
Step 1: Divide 10 by 100 [tex]10\%\:=\frac{10}{100}[/tex][tex]=0.1[/tex]Step 2: Multiply 0.1 by 40
[tex]=0.1\cdot \:40[/tex]
[tex]=4[/tex]
4 total peers said their favorite color was orange
Blue
Step 1: Convert [tex]\frac{3}{4}[/tex] to percentage; [tex]\frac{3}{4} = 75\%[/tex]
Step 1: Divide the fraction by 100[tex]\frac{3}{4} \times 100[/tex][tex]= 75[/tex]Step 2: Find 75% of 40: Convert 10% to decimal form
Divide 10 by 100[tex]75\%\:=\frac{75}{100}[/tex][tex]=0.75[/tex]Step 3: Multiply 0.75 by 40
[tex]=0.75\cdot \:40[/tex]
[tex]=30[/tex]
30 total peers said their favorite color was blue
Purple
Step 1: Convert 0.15 to percentage
[tex]15\%[/tex]
Step 2: Find 15% of 40
[tex]\frac{x}{40}=\frac{15}{100}[/tex]
Step 3: Cross multiply; Multiply 0.15 by 40
[tex]=0.15\cdot \:40[/tex]
[tex]=6[/tex]
A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
Answer: 73.2
Step-by-step explanation:
78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2
Does the equation y=x/2 represent a proportional relationship?
if N(U) = 65, N(A)=28 N(B)= 45 and N(ABC)= 20 then N(AUB) is ?
Answer:
98--(&_$4567;'#234678
Answer:
N(AUB)=28+45
=73
Step-by-step explanation:
Does anyone know?...
Answer:
NOPE
Step-by-step explanation:
N is an integer such that
3n+4 <19 and 10n/n^2+16Find all the possible values of n.
N is the integer between {3,4,5}.so we can find all possible values of n is 2 and 8.
What is an integer?An integer is a whole number that can be positive, negative or zero. Examples of integers are -5, 1, 5, 8, 97, and 3,043.The integers are generated from the set of counting numbers and the operation.
What are the steps to solving inequalities?Subtract the same number from both sides. Multiply both sides by the same positive number. Divide both sides by the same positive number. Multiply both sides by the same negative number and reverse the sign.
Now we solve
3n+4 <19
3n+4-4<19-4
3n<15
n<5
so n is less than and equal to 5 it will be {3, 4, 5].
10n/[tex]n^{2}[/tex]+16 >1
10n> [tex]n^{2}[/tex] +16
0> [tex]n^{2}[/tex]-10n +16
0>[tex]n^{2}[/tex] -8n -2n +16
0> n(n-8)-2(n-8)
0> (n-8) (n-2)
So n-2<0 n-8<0
n<2 n<8
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How many times would you expect to roll a 5 if you rolled a fair die 1,300 times? Round your answer, if needed.
A.
0.1667
B.
1,083
C.
217
D.
95
Answer: C, 217
Step-by-step explanation:
Is the triangle with sides of length 5 cm 3 cm and 4 cm a right angled triangle If yes why?
The triangle with sides of length 5 cm 3 cm and 4 cm is a right angled triangle because (3, 4, 5) is a Pythagorean triple.
We know that if non zero real numbers a, b, c follows Pythagoras theorem c² = a² + b², the numbers a, b, c is called as a Pythagorean triple.
And these numbers are nothing but the sides of right triangle.
Here we have been given the triangle with sides of length 5 cm 3 cm and 4 cm
Assume that p = 5 cm, q = 3 cm and r = 4 cm
p² = 25
q² = 9
and r² = 16
Consider q² + r² = 16 + 9
q² + r² = 25
q² + r² = r²
Since given numbers follows Pythagoras theorem, (3, 4, 5) is a Pythagorean triple.
And p = 5 cm, q = 3 cm and r = 4 cm are the lengths of sides of right triangle.
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It’s for my other question
Answer:
That looks good
Step-by-step explanation: wait why is this here?
Which scenario is modeled by this graph?
Answer:
The first option seems about right
Giving brainly to who ever answers first.
Answer:
1/9 for left
15/16 for second
Step-by-step explanation:
1/3 x 1/2 x 2/3 = 1/9
5/4 x 3/2 x 1/2 = 15/16
Answer:
[tex]\frac{1}{9}[/tex] m³
[tex]\frac{5}{16}[/tex] ft³×÷
[tex]3\frac{1}{8}[/tex] m³
[tex]12\frac{1}{2}[/tex] m³
x = 20 in.
l = 10 in.
Step-by-step explanation:
[tex]2\frac{4}{5}=\frac{14}{5}[/tex]
[tex]1\frac{3}{7}=\frac{10}{7}[/tex]
[tex]3\frac{1}{8}=\frac{25}{8}[/tex]
trigonometry PLEASE HELP ASAP TYY
Answer:
x = 3.1
Step-by-step explanation:
Begin with the right triangle on the left. Looking at the 39° angle, the 7m side is the hypotenuse and the side marked h (see attached image) is the opposite side. The trig ratio using opposite and hypotenuse is sine.
[tex]\sin{39^\circ}=\frac{h}{7}\\\\h=7\sin{39^\circ}[/tex] Hold this thought!
Focus attention on the right triangle on the right. Looking at the 55° angle, h is the opposite side and the side marked x is the adjacent side. The trig ratio using opposite and adjacent sides is tangent.
[tex]\tan{55^\circ}=\frac{h}{x}\\\\x\tan{55^\circ}=h\\x\tan{55^\circ}=7\sin{39^\circ}\\x=\frac{7\sin{39^\circ}}{\tan{55^\circ}} \approx 3.1[/tex]
Is angle 1 vertically opposite to angle 4?
Yes, angle 1 is vertically opposite to angle 4 because they are formed due to the intersection of straight lines.
When two lines intersect each other, then the opposite angles formed are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are equal to each other. Also, a vertically opposite angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
For example, if two lines intersect and make an angle, say X=55°, then its opposite angle is also equal to 55°. And the adjacent angle to angle X will be equal to 180 – 55 = 125°
In the given figure, ∠AOC and ∠BOD form a pair of vertically opposite angles and similarly ∠AOD and ∠BOC form such a pair. Therefore,
∠AOC = ∠BOD
∠AOD = ∠BOC
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Which inequality statement describes the two numbers on a number line? "−13 and a number 18 units to the right of −13"
A) −13 < 5
B) −13 > 5
C) −13 > 18
D) −13 < 18
Answer:
A
Step-by-step explanation:
-13 + 18=5
-13 is less than 5
What is the midpoint of f/x )=( x 2 )( x 4?
The midpoint of the x-intercepts of f(x) = (x - 2)(x - 4) is (3, 0).
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
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(I’ll give brainiest) what should you do to solve the equation x-3=12
A) add 3 to both sides
B) subtract 3 from both sides
C) divide both sided by 3
D) multiply both sides by 3
(If you can, please explain how)
Answer:
its A
Step-by-step explanation:
For what value of a the system of linear equations Ax 3y a 3 12x ay A has no solutions?
The system of linear equations Ax + 3y = a, 3x + ay = A has no solutions for any value of a.
To determine if the system of linear equations Ax + 3y = a, 3x + ay = A has no solutions for any value of a, we can use the elimination method.
We want to eliminate one of the variables, so let's start by multiplying the first equation by 3 and the second equation by -1.
This gives us:
3Ax + 9y = 3a, -3x - ay = -A.
Now we add the equations together to get:
2Ax + 8y = 3a - A.
Now we can see that the equation is not solvable as there is no value of a that will make the equation true. Therefore, the system of linear equations Ax + 3y = a, 3x + ay = A has no solutions for any value of a.
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is y= 4/5x -8 and y -= -5/4x = +3 parallel perpendicular or neither
Answer:
perpendicular
Step-by-step explanation:
perpendicular if the product of their slopes is equal to -1
Parallel lines have equal or identical slopes
The following shape is a rhombus, solve for the value of x.
Answer: The answer is -1.6
Step-by-step explanation:
(7x-5)=2x-13
+5 +5
7x=2x-8
5x=-8
divide -8 by 5= -1.6
Answer:
-1.6
Step-by-step explanation:
what is the x-intercept of the graph of the equation 3x-4y=20
Answer:
(20/3,0) is your x-intercept
Step-by-step explanation:
To find x-intercept, let y = 0
[tex] \displaystyle{3x = 20}[/tex]
Solve for x, divide both sides by 3:
[tex] \displaystyle{ \dfrac{3x}{3} = \dfrac{20}{3}} \\ \\ \displaystyle{ x = \dfrac{20}{3}}[/tex]
Hence, the x-intercept is (20/3,0). We write in order pair since it's x-intercept and x = 20/3 at y = 0
A bag contains 18 red marbles. The ratio of red marbles to blue marbles is 6 to 9. Find the number of blue marbles in the bag.
Manny begins his new job on Monday. He will work 8 hours each day and will be paid $10.50 for each hour that he works.
Part A: How many days will Manny need to work in order to earn $2,100?
Part B: If Manny works 5 days each week, how many weeks will he need to work in order to earn $2,100?
2100 divided by 10.50 = 200 hours
200 hours divided by 8 hour days = 25 days
Answer:
A) 25 days
B) I got 4.6 so try 4 and 5 and 4.6
Step-by-step explanation:
A) 8x10.50=84
2100/84=25 days
B) 84x5=450
2100/450=4.6
24 water bottles for $2.95
The cost of 48 water bottles will be $5.9.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that there are 24 water bottles and costs $2.95. The cost of 48 water bottles will be calculated as,
24 water bottles = $2.95
1 water bottle = $2.95 / 24
48 water bottle = ( 2.95 x 48 ) / 24
48 water bottles = $5.9
Hence, the cost will be $5.9.
The complete question is given below.
24 water bottles for $2.95. What is the cost of 48 water bottles?
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q significa I love you?