Explanation:
The x coordinates are the same, so we subtract the y coordinates and use absolute value to ensure the result isn't negative.
|-30.5 - 9.7| = |-40.2| = 40.2
One unit represents 1 km, so 40.2 units represent 40.2 km
This converts to 40,200 meters. Multiply by 1000 to go from km to meters.
Quinn knit a total of 4 centimeters of scarf over 2 nights. how many nights will quinn have to spend knitting in order to knit a total of 70 centimeters of scarf?
The nights required by Quinn in order to knit a total of 70 centimeters of the scarf is equal to 35.
The number of nights required by Quinn in order to knit a total of 70cm of the scarf can be calculated using multiplication. Multiplication can be described as one of the four basic arithmetic operations in which we perform the repeated addition of the same number or value. This problem can be solved using cross-multiplication as follows;
2 nights = 4 cm of scarf
x nights = 70 cm of scarf
70 × 2 = 4(x)
140 = 4(x)
x = 140 / 4
x = 35
Therefore, Quinn will have to spend 35 nights knitting in order to knit a total of 70 centimeters of the scarf.
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three times the sum of a number and seven is greater than five times the number less thirteen in a equation
Make a table of ordered pairs for the equation.
y=-1/3x+1
show steps and pic of the quiz graph pls!
The ordered pairs (-3, 2), (0, 1), (3, 0), and (6, -1) for the equation y = -1/3x+1 which satisfies the equation.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
We have been given the equation:
y = -1/3x+1
When substituting the value x = -3, then get the value of y = 2
When substituting the value x = -0, then get the value of y = 1
When substituting the value x = 3, then get the value of y = 0
When substituting the value x = 6, then get the value of y = -1
The table of ordered pairs for the given equation y = -1/3x + 1.
x y
-3 2
0 1
3 0
6 -1
The required graph has been attached below which represents the given equation.
Therefore, the ordered pairs (-3, 2), (0, 1), (3, 0), and (6, -1) for the equation y = -1/3x+1 which satisfies the equation.
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ANSWER QUICK I WILL GIVE BRAINLIEST
Solve 3x + 2 = 5.
A) x = 1
B) x = 2
C) x = 3
D) x = 4
Answer:
x = 1
Step-by-step explanation:
3x + 2 = 5
3x + 2 - 2 = 5 - 2
3x = 3
3x/3 = 3/3
x = 1
Hope this helps! :)
Answer:
I think it's A, hope this helps
during december the average daily temperature in a town is -1.7.the average daily temperature in the same town is 3.2 lower in january what is the average daily temperature in january?
Answer:
the average daily temperature in January is -4.9
Is the equation a true statement when x = 3? In other words, is 3 a solution to theequation?7x – 5 = 23 + 10A. Yes, 3 is a solution.B. No, 3 is not a solution.
SOLUTION:
Case: Simple equation
Given:
7x – 5 = 23 + 10
Required:
Is the equation a true statement when x = 3?
Method:
Step 1: Rewrite the equation
7x – 5 = 23 + 10
Step 2: Plug the value x= 3 into the equation
7x – 5 = 23 + 10
7(3) - 5 = 33
21 - 5 = 33
16 is not equal to 33
Final answer:
B. No, 3 is not a solution.
Question 5(Multiple Choice Worth 1 points)
(01.05 LC)
What is the converse of the following statement?
"If the shoes are clean, then the shoes are new."
O If the shoes are not clean, then the shoes are not new.
O If the shoes are clean, then the shoes are not new.
O if the shoes are not new then the shoes are not clean.
O If the shoes are new, then the shoes are clean.
The converse of the statement on shoes being clean and new is If the shoes are new, then the shoes are clean.
How to write a converse statement?When converting a statement that involves two clauses to a converse statement, you should exchange the position of the two clauses to make a converse statement.
This means that if you had a statement as (if a then b) the converse statement is (if b than a). The statement, "If the shoes are clean, then the shoes are new" would then be "If the shoes are new, then the shoes are clean."
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Julie has a jewelry box shaped like a cube. If the volume is
216 cm³, what is the edge length of Julie's jewelry box?
A 14.7 cm
B 108 cm
C 6 cm
D 72 cm
Answer: C) 6cm
Step-by-step explanation:
6³= 6x6x6
6x6x6= 216
Answer:
Choice C: 6 cm
Step-by-step explanation:
The sides of a cube are all of equal length
If each side is a cm, then the volume = a x a x a = a³ cubic cm
So a = ∛V where V is the volume
Since we are given V = 216 cm³,
each side = ∛21 = 6 cm
Choose the answer that best completes the sentence.
-2 - √3i is a known root not a possible root, option 4 will be the correct answer.
What are real and imaginary roots ?
A real root to an equation is a real number. A complex root to an equation is an imaginary root represented as complex numbers.
In other words real roots can be represented in a number line where as imaginary roots can not.
Here, the given root is -2 + √3i :
It is known that the complex roots comes in pairs that is in form a ±ib, where, a is real part of imaginary root and b is imaginary part.
Therefore, the other root will be -2 - √3i.
So, -2 - √3i is a known root not a possible root, option 4 will be the correct answer.
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James and Lucas are eating a pizza. James ate 2/3 of the pizza and Lucas ate 1⁄4 of pizza. Who ate more pizza and by how much?
Answer: James ate more pizza by 5/12 parts.
Step-by-step explanation:
To solve let us takes the lcm of the denominators 3 and 4
which is 12.
James ate 2/3 * 4/4 = 8/12 parts
Lucas ate 1/4*3/3= 3/12 parts
now, we can see 8/12>3/12
Therefore, James ate more pizza by 8/12-3/12= 5/12 parts.
The line parallel to y=1/4x+1 that passes through the point (6,-2)
Answer:
y = [tex]\frac{1}{4}[/tex] x - [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{4}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute (6, - 2 ) into the partial equation
- 2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = - 2 - [tex]\frac{3}{2}[/tex] = - [tex]\frac{7}{2}[/tex]
y = [tex]\frac{1}{4}[/tex] x - [tex]\frac{7}{2}[/tex] ← equation of parallel line
Determine the values of x in the equation x2 = 81.
A. x = −9
B. x = ±9
C. x = ±40.5
D. x = 40.5
Answer:
The Answer Is C X = 40.5
Step-by-step explanation: Half of 81 = 40.5 and 40.5 x 2 = 81 (x only multiplies 40.5 by 2 which equals 81)
Select whether the model is an angle of elevation or an angle of dep270 ITCMathBits.comB
Explanation:
The term angle of depression is defined as the angle from the horizontal line downward to an object. An observer's line of sight would be below the horizontal.
For angle of elevation, an observer's line of sight would be above the horizontal.
According to the diagram shown; The diagram with angle 27degrees models angle of depression while that of angle 25 degrees models an angle of elevation.
the probability that a fair die falls on 6 is 1/6. however, if that fair die is one of two dice, and you know that the sum of the two dice is 12, then the probability that the fair die fell on 6 is ?
Answer:36
Step-by-step explanation:
1/6 is 6
so we need to find 6/6 which would be 6×6=36
two sides of a triangle are 18 ft and 23 ft. Find the range for the measure of the third side.
Answer:
5<x<41
Step-by-step explanation:
Assume the unknown side to be x
By triangle inequality theorem
Difference of two known sides < x< Sum if two known sides
⇒23-18<x<23+18
⇒5<x<41
Therefore the possible values for unknown side x lies between 5 ft and 41 ft.
Solve the compound inequality.
- 3x≤ - 9 or 5x-18 ≥ 12
Answer:341623456245
Step-by-step explanation:78325687345
Line a is parallel to line b. If the
measure of 2 is 78°, what is the
measure of 5?
78=21
34
65
78
→ а
b someone actually help
Answer:
102 degrees
Step-by-step explanation:
m<6 = 78,
m<5 = 102
:]
Write a function in any form that would match the graph shown below.
......................
3) -7y + 9 = 3y + 49
Answer:
y = -4
Step-by-step explanation:
first add 7y to both sides
9 = 10y + 49
second subtract 49 from both sides
-40 = 10y
flip it
10y = -40
now divide both sides by 10
y = -4
that is your answer
Answer: 7y+9=3y+49
We move all terms to the left:
-7y+9-(3y+49)=0
We get rid of parentheses
-7y-3y-49+9=0
We add all the numbers together, and all the variables
-10y-40=0
We move all terms containing y to the left, all other terms to the right
-10y=40
y=40/-10
y=-4
The ground temperature at an airport is 11 °C. The temperature decreases by 7 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
The temperature outside a plane flying at an altitude of 5 kilometers is
°C.
Under the linear assumption of temperature and altitude, the temperature outside the plane is - 24 °C.
What is the temperature outside a plane flying at a given altitude?
In this problem we must determine the temperature outside the plane on the assumption that the temperature decreases linearly with the altitude:
T(z) = T' + (ΔT / Δz) · z
Where:
T' - Temperate at ground level, in degrees Celsius.Δz - Level change, in kilometers.ΔT - Temperature change, in degrees Celsius.If we know that T' = 11, Δz = 1 and ΔT = - 7, then the temperature at an altitude of 5 kilometers is:
T(5) = 11 + (- 7 / 1) · 5
T(5) = 11 - 35
T(5) = - 24
The temperature outside the plane is - 24 °C.
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In the figure below, points D, E, and F are the midpoints of the sides of ABC. suppose DF =34, AC =48, and BC =78. find the following lengths.
For any given Triangle ABC, its medial triangle is constructed by finding the midpoints of its three sides (Segments AB, BC, and AC) and constructing segments to join these midpoints.
An important property of the medial triangle is that it divides the original triangle into four smaller, congruent triangles that are each similar to the original triangle.
With this in mind we now that the four triangles are congruent. Then:
[tex]CF=DE[/tex]but we know that CF is half of BC, then:
[tex]DE=\frac{78}{2}=39[/tex]From the figure we also notice that:
[tex]\begin{gathered} BE=DF \\ BE=34 \end{gathered}[/tex]Ans that AB is twice BE, then
[tex]AB=68[/tex]Summing up we have:
[tex]\begin{gathered} DE=39 \\ AB=68 \\ BE=34 \end{gathered}[/tex]Use the equality to find the ratio a : b . a/5=b/7
Kyle invests $600 which earns 3% annual simple interest for 5 years Use A(t)=P (1+rt) to determine how much money he will have after 5 years. Interpret the rate of change in this situation
The amount of money that Kyle will have after 5 years is $690.
How to calculate the interest?From the information, Kyle invests $600 which earns 3% annual simple interest for 5 years.
The formula for the amount is given as:
A(t)=P (1+rt)
where P = principal = $600
R = rate = 3%
T = time = 5 years
This will be:
A(t)=P (1+rt)
A = 600 [ 1 + (3% × 5)]
A = 600 (1 + 0.15)
A = 600(1.15)
A = 690
The amount is $690.
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nine times the sum of a number and 4 equals 7.
Answer: the answer is 17
Step-by-step explanation:
Answer: The equation would be 9(x+4)=7
Divide both sides by the numeric factor on the left side, then solve.
Exact Form: x= −29/9
Mixed Number Form: x= −3 2/9
-16 = -8x solve for x simplify your answer as much as possible
Answer:
x = 2
Step-by-step explanation:
-16 = -8x
divide both sides by -8:
-16/-8 = -8x/-8
x = 2
Answer:
x=2
Step-by-step explanation:
[tex]x = \frac{ - 16}{ - 8} [/tex]
[tex]x = 2[/tex]
what is (x squared -4x+3)-(3x squared -3x -5)
What percent of 933 is 391.86?
ninety-two percent (92%) of parents/guardians surveyed indicated that they were "involved" in making decisions about their underage child’s healthcare treatment, and 7% stated that they were "almost always" involved.
The probability that three parents are involved" in making decisions about their underage child’s healthcare treatment is 0.7787.
What is probability?It should be noted that probability simply means the likelihood that something will happen.
In this case, ninety-two percent (92%) of parents/guardians surveyed indicated that they were "involved" in making decisions.
The probability of the involvement of the three parents will be:
= P(involvement)³
= (92%)³
= 0.92 × 0.92 × 0.92
= 0.7787
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Ninety-two percent (92%) of parents/guardians surveyed indicated that they were "involved" in making decisions about their underage child’s healthcare treatment, and 7% stated that they were "almost always" involved. Find the probability that three parents are involved" in making decisions about their underage child’s healthcare treatment,
Which postulate could we use to prove that the angles
Answer:
PWP (Part Whole Postulate)
Step-by-step explanation:
Supplementary angles add up to 180 degrees. The part whole postulate states that two angles make up a whole.
Answer:
Supplement postulate
Step-by-step explanation:
Supplement Postulate:
If two angles form a linear pair, then they are supplementary.
5. Holly ran 3/5 mile on Saturday and 3/5 mile on Sunday. How many miles did Holly run in those 2 days?
Answer: He did not convert the fractions into the like fraction to add.
Step-by-step explanation:Given: The distance Jonah runs on Sunday= milesThe distance Jonah runs on Monday= milesThe total distance he ran = Since both the fractions are not like , thus multiply 2 to the numerator and the denominator of the first fraction [to add fractions first convert them into like fractions], we get The total distance he ran = The right answer is "The total distance he ran ="