All the possible amounts that Anna may have spent at the bowling alley are presented on the number line.
What is a number line?In mathematics, a numbered line is a straight line with numbers organized at regular intervals or sections throughout its breadth. The beginning of period is frequently shown laterally and may be shifted in any position.
Anna visited a bowling alley. She did not spend less than or equal to $30, but she did spend more than $25.
The inequality is given as,
$25 < x ≤ $30
All the possible amounts that Anna may have spent at the bowling alley are presented on the number line.
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Claudia can make 4 balloon animals in 12 minutes.How many balloon animals can she make in 21 minutes
Answer: Claudia can make 7 balloons in 21 minutes.
Step-by-step explanation:
21/12=1.75
1.75 x 4 = 7
A circle has a radius of 5 units, 3 students tried to calculate the circumference of the circle, put their answers in order from most accurate to least accurate31.4π units 10π units 31.4 units
A circle has a radius of 5 units, 3 students tried to calculate the circumference of the circle, put their answers in order from most accurate to least accurate
31.4π units
10π units
31.4 units
we know that
the circumference of a circle is equal to
[tex]C=2\pi r[/tex]we have
pi=3.14
r=5 units
substitute
[tex]\begin{gathered} C=2\pi(5) \\ C=10\pi\text{ units} \end{gathered}[/tex]the exact value is 10pi units
the approximate value (assume pi=3.14)
C=31.4 units
so
order from most accurate to least accurate is
10π units
31.4 units
31.4π units
order from least accurate to most accurate is31.4π units31.4 units10π unitsWATER DEPTH An echo sounder is a device used to determine the depth of water by measuring the time it takes a sound produced just below the water surface to return, or echo, from the bottom of the body of water. The accuracy of an echo sounder is the positive difference between the depth of water reading on the echo sounder and the actual depth of water w. Write two absolute value expressions equivalent to the accuracy of an echo sounder.
The absolute value expressions of the echo sounder are |r - w| and |w - r|
How to determine the absolute value expressions of the echo sounder?The statement in the question is represented as
The accuracy of an echo sounder is the positive difference between ...
To solve further, we use the following representations
Depth of water reading = r
Actual depth = w
So, the statement becomes
The accuracy of an echo sounder is the positive difference between r and w
The difference can be represented as
Difference = r - w or Difference = w - r
Represented as absolute value expressions
Difference = |r - w| or Difference = |w - r|
Hence, the expressions are |r - w| and |w - r|
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X=
////////////////////////
Answer: [tex]x=90[/tex]
Step-by-step explanation:
Using the alternate exterior angles theorem,
[tex]180-x=x\\\\180=2x\\\\x=90[/tex]
8. Find the value of x and y.
(7x-2)°
18y°
(11x - 34)°
The degrees of the following expression are
(7x-2)° => x = 2/7°
18y° => y = 0°
(11x - 34)° => x = 34/11°
Degrees:
Degree is the unit of measure is used to measure the magnitude of an angle.
1 degree = 1/360 of a complete revolution in magnitude.
Given,
Here we have the following expressions
(7x-2)°
18y°
(11x - 34)°
Now, we have to find the value of x and y from it.
In order to find the value x and y , we have to equate every equation with 0. then we get the value of variables x and y.
When we take the first expression, and then we have to equate it with zero, then we get,
(7x - 2)° = 0°
7x = 2°
x = 2/7°
Therefore, the value of x is 2/7°.
Now, we have to take the second one and equate it with zero, then we get,
18y° = 0
y = 0°
Therefore, the value of y is 0°.
Finally, the value of the expression in degrees,
11x - 34° = 0
11x = 34°
x = 34/11°
Therefore, the value of x is 34/11 degrees.
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Is this function continuous or discrete? How far can you get on 20 gallons? What is the domain and range of this function? How many gallons to get 500 miles? Where do the labels on the graph go?
EXPLANATION
The equation of the function can be represented as shown as follows:
[tex]G(m)=12m[/tex]-This function is discrete.
-If we have 20 gallons, we can obtain the number of miles by plugging in the value into the equation, as shown as follows:
[tex]20=12m[/tex]Dividing both sides by 12:
[tex]\frac{20}{12}=m[/tex]Simplifying:
[tex]\frac{5}{3}=m[/tex]We can make 1.67 miles with 20 gallons.
-The domain of the function are all the Real Numbers and the Range are also the Real numbers.
-Finally, drawing the graph of the function:
The points of the table are the following:
Gallons Miles
2 24
4 48
6 72
8 96
-We can get the number of gallons needed to, make 500 miles by plugging the value 500 into the equation, as shown as follows:
[tex]500=12m[/tex]Isolating m:
[tex]\frac{500}{12}=m[/tex]Simplifying:
[tex]41.7=m[/tex]The number of gallons to make 500 miles is equal to 41.7 gallons
Finally, labeling the graph:
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-3,5), (0, 2), (3,-1), (7,-4)}
B = {(0,3), (1,5), (2,7), (4,9)}
C= {(-3,8), (-1,7), (1,6), (3,5)}
D = {(-5, -1), (-2,2), (1,4), (4,7)}
OA
C
B
D
Submit Answer
The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
How is a linear function written?The equation y = mx + b, where y is the y-coordinate, denotes a linear function. m represents the line's slope, or how steep it is. The coordinate for x is x.
The equation y = mx + b, where y is the y-coordinate, denotes a linear function.
m represents the line's slope, or how steep it is.The coordinate for x is x.the point where the line intersects the y-axis, or b.To learn more about Linear function refer to:
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A line passes through the point (–2, 7) and has a slope of –5.
A coordinate plane.
What is the value of a if the point (a, 2) is also on the line?
–7
–1
1
7
Based on the fact that the line passes through (-2, 7) and the slope, the value of a can be found to be -1
How to find the value of a?To find the value of a, you first need to find the y-intercept to complete the linear equation which takes the form:
y = slope (x) + y-intercept
7 = -5(-2) + y-intercept
7 = 10 + y-intercept
y-intercept = 7 - 10
y-intercept = -3
The line equation is:
y = -5x - 3
The line y = -5x - 3 is passing through the point (a,2) is:
2 = -5(a) - 3
3 + 2 = -5a
a = 5 / -5
a = -1
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Answer:
the answer is -1
Step-by-step explanation:
Determine which angles are right triangles. Select all that apply
Answer:
[tex]A,B[/tex]Explanation:
Here, we want to get the right triangles
Mathematically, for us to have a right triangle, the square of the hypotenuse (which is the longest side) equals the sum of the squares of the two other sides. This is Pythagoras' theorem
We shall be testing this principle out on the given options
We proceed as follows:
[tex]\begin{gathered} a)\text{ 24}^2\text{ + 143}^2\text{ = 145}^2 \\ b)\text{ 28}^2\text{ + 195}^2\text{ = 197}^2 \\ c)\text{ 135}^2\text{ + 140}^2\text{ }\ne\text{ 175}^2 \\ d)\text{ 56}^2+\text{ 16}^2\ne\text{ 65}^2 \end{gathered}[/tex]What this means is that only options A and B is correct
Point A(3, 5) was dilated, and the point after dilation was A'(6, 10). What was the scale factor used?
Answer:2 is the scale factor
Step-by-step explanation:
12 nights camp accommodation costs #6720. What will be the cost of a)7 nights number b)4 nights
EXPLANATION :
The cost of a 12 nights camp accommodation is 6720.
We need to divide the cost by 12 to get the cost per day.
[tex]6720\div12=560[/tex]Now, we are asked to find the cost of 7 nights and 4 nights.
We just need to multiply the daily rate by the number of nights.
a. 7 nights :
7 x 560 = 3920
b. 4 nights :
4 x 560 = 2240
ANSWER :
a. 3920
b. 2240
Tell whether x and y show direct variation. Explain your reasoning.
y - x = 0. Find the value of k
In the given equation x and y show a direct variation of the form:
y = x
Where the value of k is 1.
Is there a direct variation?
A direct variation between two variables x and y is written as:
y = k*x
Where k is called the constant of proportionality.
Here we have the equation:
y - x = 0
moving x to the right side we get:
y = x
This is a direct variation with k = 1.
y = 1*x
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a ball dropped from rest and falls for 8 seconds
whats the final velocity
and whats te average velocity
how far did it fall
Evaluate the function for the following values:
f(-2)=
f(0) =
f(3) =
Prealgebra- Write an equation of the line that passes through the points(Question in photo) (Can only attach one photo at time, so for graphing part of question, i will send the photo)
Given:
Point 1 → (-5, 0.6)
Point 2 → (5, -2.4)
Find: the equation of the line and its graph
Solution:
To help us determine the equation of the line passing through the given points, let's use the Two-Point Form formula.
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]Let's plug into the formula above the coordinates of the two points.
[tex]y-0.6=\frac{-2.4-0.6}{5-(-5)}(x-(-5))[/tex]Then, solve.
[tex]y-0.6=\frac{-3}{10}(x+5)[/tex]Multiply -3/10 by the terms inside the parenthesis.
[tex]y-0.6=-\frac{3}{10}x-1.5[/tex]Add 0.6 on both sides of the equation.
[tex]y-0.6+0.6=-\frac{3}{10}x-1.5+0.6[/tex][tex]\begin{gathered} y=-\frac{3}{10}x-0.9 \\ or \\ y=-0.3x-0.9 \end{gathered}[/tex]Hence, the equation of the line passing through the given points in slope-intercept form is y = -0.3x - 0.9.
In the equation, the slope is -3/10 while the y-intercept is -0.9.
Since the slope is negative, the line must be leaning to the left. Since the y-intercept is -0.9, the line must cross the y-axis or the vertical line at -0.9. Hence, the graph of the equation is:
The vertical distance is
. The horizontal distance is
. So the slope can be represented by the ratio
. The ordered pair for the red point on the line is
. If we substitute the numbers from the ordered pair in for x and y in the ratio, it will equal
please help ill give brainly
.
Answer:
. The horizontal distance
Step-by-step explanation:
The vertical distance is
. The horizontal distance is
. So the slope can be represented by the ratio
. The ordered pair for the red point on the line is
. If we substitute the numbers from the ordered pair in for x and y in the ratio, it will equal
please help ill give brainly
.
Paula measured the auditorium and made a scale drawing. The stage, which is 56 feet long in real life, is 84 inches long in the drawing. What scale did Paula use?
3 inches= ? feet
There are 2 feet in real life be 3 inches long in the scale drawing.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The stage, which is 56 feet long in real life, is 84 inches long in the scale drawing.
Let the x feet in real life be 3 inches long in the drawing.
According to the given question, we can write a ratio as
56 feet : 84 inches = x feet : 3 inches
⇒ 56 / 84 = x / 3
Apply the cross-multiplication operation,
⇒ 56 × 3 = x × 84
⇒ 168 = 84x
⇒ 84x = 168
⇒ x = 168 / 84
⇒ x = 2
Therefore, there are 2 feet in real life be 3 inches long in the scale drawing.
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A retailer purchases some merchandise with an invoice price of $19,500 and terms of sale of 5/15, n/45. What is the net amount due (in $) on the order if a partial payment of $10,800 is made on the 15th day? (Round your answer to the nearest cent.)
The net amount due on the order after partial payment done is $8700
Given,
A retailer purchases some merchandise;
The invoice price for the merchandise = $19,500
Terms of sale for the merchandise = 5/15, n/45
On 15th day partial payment done = $10,800
We have to find the net amount due on the order after partial payment is done.
Here,
Net amount due = Invoice price - Partial payment
Net amount due = 19,500 - 10,800
Net amount due = 8700
That is,
The net amount due on the order after partial payment done is $8700
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Which graph represents the reflection of AABC over the line y = 0?
-54-3 -2 -1
S ON
CH
-3
LO
*
C
A
2 3
A
B
12
X
Answer:
The graph represents the reflection of triangle ABC over the line y=0 in graph (C).
The coordinates of the triangle ABC are:
A(1, -1), B(4, -1) and C(3, -3).
The rule of reflection over the line y = 0 is:
(x, y) ⇒ (x, -y)
So, we have:
A(1, -1) ⇒ (1, 1),
B(4, -1) ⇒ (4, 1)
C(3, -3) ⇒ (3, 3).
By comparing the above points to the list of options, the correct graph is a graph (c)
Step-by-step explanation:
hope this helps I hope
The graph C represents the reflection of triangle ABC over the line y = 0
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The coordinates of the triangle ABC are:
A(1, -1), B(4, -1) and C(3, -3).
The rule of reflection over the line y = 0 is:
(x, y) ⇒ (x, -y)
So, we have:
The coordinates after applying rule
A(1, -1) ⇒ (1, 1),
B(4, -1) ⇒ (4, 1)
C(3, -3) ⇒ (3, 3).
By comparing the above points to the list of options, the correct graph is a graph (c)
Hence, the graph C represents the reflection of triangle ABC over the line y = 0
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18. An 80-pound grass seed mixture is 30% bluegrass seed. How many pounds of seed
containing no bluegrass seed (0%) should be added to the seed mixture for a resulting
blend that is 20% bluegrass seed? Construct a table, then solve.
Step-by-step explanation:
what table is your teacher taking about ?
in any case this is resistive easy to solve
80 pounds of 30% with x pounds of 0% result in 80+x pounds of 20% :
80×0.3 + x×0 = (80 + x)×0.2 = 80×0.2 + x×0.2
80×0.1 = x×0.2
x = 80×0.1/0.2 = 80/2 = 40 pounds
so, 40 pounds of 0% have to be added to the 80 pounds of 30% to get a mixture of 20% (80+40 = 120 pounds).
Can a triangle have sides with the given lengths?a2 in, 4 in, 6 inYesNo
In general, if the sides of a triangle are a, b, and c, they must satisfy the inequalities below
[tex]\begin{gathered} a,b,c\rightarrow\text{ sides of a triangle''} \\ \Rightarrow a+b>c \\ b+c>a \\ c+a>b \end{gathered}[/tex]Therefore, in our case,
[tex]\begin{gathered} 2+4>6\Rightarrow6>6\rightarrow False \\ 4+6>2\Rightarrow10>2\rightarrow True \\ 6+2>4\Rightarrow8>4\rightarrow True \end{gathered}[/tex]The first inequality is false; thus, the triangle cannot exists. The answer is No.Good morning I could really use some help with this problem please!!
Hello!
First, let's write the coordinates of each vertex of this parallelogram:
• A (-4, 2)
,• B (2, 2)
,• C (5, -2)
,• D (-1, -2)
As line AB is parallel to the x-axis, we can find its measurement without formulas. We just need to count the number of squares from one point to the other.
So,
AB = 6 units.We will follow the same reasoning to calculate CD (because it's also parallel to the x-axis).
CD = 6 units.Now we have to use the formula of the distance between two points to calculate the sides BC and DA. The formula is:
[tex]d_{A,B}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]As we know the formula, let's replace it with the coordinates:
BC: 5 units[tex]\begin{gathered} d_{B,C}=\sqrt{\left(x_C-x_B\right)^2+\left(y_C-y_B\right)^2} \\ d_{B,C}=\sqrt{(5-2)^2+(-2-2)^2} \\ d_{B,C}=\sqrt{3^2+(-4)^2} \\ d_{B,C}=\sqrt{9+16} \\ d_{B,C}=\sqrt{25} \\ d_{B,C}=5\text{ units} \end{gathered}[/tex]DA: 5 unitsWe can solve it using the same formula as I used to solve BC, but now I'll show you how to solve it using Pythagoras Theorem (I think it will be easier). Look:
Solving by Pythagoras, we'll obtain:
[tex]\begin{gathered} x^2=4^2+3^2 \\ x^2=16+9 \\ x^2=25 \\ x=\sqrt{25} \\ x=5\text{ units} \end{gathered}[/tex]Remembering: the perimeter is the sum of all the sides of a figure. So, we will have:
[tex]\begin{gathered} P=AB+BC+CD+DA \\ P=6+5+6+5 \\ P=22\text{ units} \end{gathered}[/tex]Vince and Wendy share $2000 in the ratio Vince : Wendy = 19 : 21. Calculate the amount of money that Vince receives
workout:
19+21=40
2000÷40=50
Vince=50×19=950
Wendy=50×21=1050
-u can check by adding 950+1050=2000 (which means the ratio is correct)
Answer:
(vince:wendy)= 950:1050
Answer:
V:W
19:21
19 + 21 = 40
19 over 40 × 200
Vince received $950
Sylas loves cookies! If he bought 5 cookies for $6.65, how many cookies
could he buy with $20?
Answer:
15
Step-by-step explanation:
6.65:5=1.33
1.33х15=19.95$
we need to around the 19.95 and we get a 20$
have a nice day
-3+n ≥ -4n-3 or 3n-4≥4n + 1
Answer:
-3+n ≥ -4n-3
Step-by-step explanation:
its good to use a number for n
if n = 5
-3+n ≥ -4n-3 or 3n-4≥4n + 1
for
-3+n ≥ -4n-3
-3+5 ≥ -4(5)-3
-2 ≥ -20-3
-2 ≥ -23
true
for
3n-4≥4n + 1
3(5)-4≥4(5) + 1
15-4≥20 + 1
11 ≥20 + 1
11 ≥21
not true
I'm not good with graphs so I really need help solving and understanding this
4x + 3y = -24 (option D)
Explanation:To determine the orrect option, we would find the equation of the line.
Equation of line: y = mx + c
m = slope, c = y-intercept
Using the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]We would use any two points on the graph.
Using points: (-6, 0) and (0, -8)
[tex]\begin{gathered} x_1=-6,y_1=0,x_2=0,y_2\text{ = -}8 \\ m\text{ = }\frac{-8-0}{0-(-6)} \\ m\text{ =}\frac{-8}{0+6}=\frac{-8}{6}=-\frac{4}{3} \end{gathered}[/tex]The y intercept is the point where the line crosses the y axis and the value of x is zero. It crosses the line at y = -8
The equation of line becomes:
y = -4/3 x + (-8)
y = -4/3x - 8
Multiply both sides by 3:
3(y) = 3(-4/3 x) - 3(8)
3y = -4x - 24
3y + 4x = -24
4x + 3y = -24 (option D)
Composite Functions 60 POINTS Help please asap
Answer:
(g ∘ f)(6) = 216
Step-by-step explanation:
Pre-SolvingWe are given the functions f(x) = 2x - 6 and g(x)=x³
We want to find the value of (g∘f)(6), where we first find the value of f(6), and then substitute that value into g(x).
SolvingSubstitute 6 as x in f(x)=2x-6.
f(6)=2(6)-6
Multiply
f(6)=12-6
Subtract
f(6)=6
Now substitute 6, which is the value of f(6) as x in g(x) = x³.
g(6)=6³ = 6 * 6 * 6 = 36 * 6 = 216
The value of g(6) is the same as the value of (g ∘ f)(6), as the 6 that we plugged into g(x) is the value of f(6).
Therefore, (g ∘ f)(6) = 216.
Use the conditional statement "If it is January, then there is snow." for questic
17. Identify the hypothesis:
18. Identify the conclusion:
Hypothesis: It is January and Conclusion: There is snow
What is hypothesis and conclusion?The initial clause, or "if," of a conditional statement is the hypothesis. The second, or "then," component of a conditional statement is the conclusion. The theory led to the conclusion.
An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion. As indicated, this is pq. Read this: if p, then q. If the hypothesis is correct but the conclusion is untrue, a conditional statement is false.
Conditionals are in the form if P, then Q.
P is the hypothesis.
Q is the conclusion.
If It is January, then there is snow.
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Find 3 ratios that are equivalent to 5:13
In a bar graph the length of the bar need not be in proportion to the information being shown.
True
False
In a bar graph the length of the bar need not be in proportion to the information being False.
Bar graph. A bar chart is frequently used to compare values of different things at a specific time. It presents information visually using rectangles (bars). It generally serves as a visual aid for proportions, patterns, comparisons, and contrasts.
How do you describe a bar graph?To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (several bars that compare values in a category), and stacked bars can all be used to construct bar graphs (bars containing multiple types of information).
A relationship is proportionate if its graph is a line or ray that passes through the origin. It is not proportionate if the line or ray does not go through the origin. Additionally, something is not proportionate if it is not linear.
comparisons of several variables that are simple. clarity in the presentation of data trends. Simple value determination.
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