The values of x = 5 and pq = 86.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that m is the midpoint of pq,
pm= 9x+3 and mq= 11x-17
⇒ 9x + 3 = 11x - 7
⇒ 3 = 11x - 9x -7
Rearrange the likewise terms and apply the arithmetic operations,
⇒ 3 = 2x - 7
⇒ 10=2x
⇒ x = 10/2
Divided by 2
⇒ x = 5
⇒ pq = 20x-14
⇒ pq = 20*5-14
⇒ pq = 86
Hence, the value of pq is 86.
Learn more about Arithmetic operations here:
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Mia spends 45 minutes reading each day. She does 2/5 of her reading at school. How many minutes does Mia spend reading at school?
Answer:
18 minutes
Step-by-step explanation:
1. 45 minutes is the TOTAL amount she reads so it can be expressed as x/45
*x=a part
2. set up a proportion
x/45 = 2/5
3. now solve by either cross multiplication or finding a scale factor. I am finding a scale factor because that is easiest.
45/5=9
so 5 * 9 = 45
so 2 * 9 = 18
the asnwer is 18. I hope this helps
Necesito que me ayuden en todas si cada uno de ustedes me puede decir una por favorrrrrr
Step-by-step explanation:
the perimeter of rectangle is 24 cm and the sides are in the ratio find the length of the sides
trina wrote forty- five and sixty five thousandths as 45.65. is her answer correct or error if so what is the error explain
Answer: 45.65 is incorrect.
Step-by-step explanation: it’s a place value problem; right of the decimal is ones, tens, hundredths, thousandths which is 4 place values so 45.065 shows the correct placement
which line graph of the liner equation x-2y=6
Answer:
x-coordinate
Step-by-step explanation:
Answer:
the answer is x coordinate
I will mark Brainliest please help
Answer:
f(x) = 2
Step-by-step explanation:
f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.
We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).
As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.
Then we have have to find the slope which can be found by using the following formula.....
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Now we have to choose two different points from table and let the one that has bigger x value be represented as [tex](x_{2} , y_{2} )[/tex] and the other one will be represented as [tex](x_{1}, y_{1} )[/tex]. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{2 -2}{2-1} = \frac{0}{1} = 0[/tex]
Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....
f(x) = mx + b
f(x) = 0x + 2
f(x) = 2
Help please. This is due at midnight
Answer:
Yes, he got the correct quotient
Step-by-step explanation:
1.5 divided by 1/3 is 4.5, and 4.5 is equal to 4 1/2
Answer:
Sage did it right.
your work:
1 1/2 ÷ 1/3
3/2 ÷ 1/3
3/2 × 3/1
9/2
4 1/2
Step-by-step explanation:
first convert 1 1/2 into an improper fraction:
multiply the 2 and 1, you get 2, than add that to the current numerator to get a new one. You get 3/2 as your improper fraction
you now have: 3/2 ÷ 1/3
then turn the division sign into a multiplication sign by flipping the divisor:
you get 3/2 × 3/1
solve this:
multiply the numerators together, you get 9 as a new numerator
multiply your denominators, you get 2 as your new denominator
so now you have 9/2
next turn this into a mixed fraction, you get 4 1/2
so Sage did it right.
The cost of 2.5 pounds of cheese is $5.60. Mrs. Peterson bought 9 pounds of cheese for her deli. How much money did Mrs. Peterson spend?
i need questions 1-8 pla
Answer:.
Step-by-step explanation:.
Plz help its urgent
Answer:
what I think this question has mistake
Juan rides his bike 97 miles to and from school each month.
Part A
How can you use compensation to find the number of miles he rode in 6 months?
Answer:
1164 are the total number of miles he rode in 6 months.
Step-by-step explanation:
Given that Juan rides his bike 97 miles to and from school each month.It means:
The miles to go to school = 97 milesThe miles to come back from the school = 97 milesThus,
Total miles in one month = 97 + 97 = 194 milesThus, the number of miles he rode in 6 months would be = 194×6 = 1164 miles
Therefore, 1164 are the total number of miles he rode in 6 months.
PLS HELP LOL, t is the value of the expression −100÷25? Enter your answer as an integer in the box.
Answer:
4
Step-by-step explanation:
100 divided by 25=4
Answer:
-4 as the answer but as an integer maybe 0-4?
Step-by-step explanation:
Work out the value of x.
4X - 57
3x + 25
3x + 15
2x - 3
4x
The diagram is not drawn to scale
A^n =16 + (N - 1) (-0.5), 15th term
Find the indicated term of the arithmetic sequence.
Answer:
9
Step-by-step explanation:
we just replace n with 15
A(n) =16 + (N - 1) (-0.5)
=16 + (15 - 1) (-0.5)
=16-7.5+0.5
=9
hope it helps
What are the answers here?
Answer:
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]∵ A line passes through points (2, 4) and (6, 16)
∴ x1 = 2 and y1 = 4
∴ x2 = 6 and y2 = 16
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{16-4}{6-2}[/tex] = [tex]\frac{12}{4}[/tex] = 3
∴ m = 3
→ Substitute it in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of
a point on the line
∵ Point (2, 4) is on the line
∴ x = 2 and y = 4
∵ 4 = 3(2) + b
∴ 4 = 6 + b
→ Subtract 6 from both sides to find b
∵ 4 - 6 = 6 - 6 + b
∴ -2 = b
→ Substitute its value on the equation above
∵ y = 3x + (-2)
∴ y = 3x - 2
→ Let us answer the questions
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
In the figure below, find the angle measures
One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the sides of the triangle.
Answer:
5 cm
Step-by-step explanation:
Let the shorter side be a, longer side be b, hypotenuse be c
By Pythagorean theorem:
a² + b² = c²
a² + (a + 7)² = (a + 8)²
a² + a² + 14a + 49 = a² + 16a + 64
a² - 2a - 15 = 0
a² + 3a - 5a - 15 = 0
a(a + 3) - 5(a + 3) = 0
(a + 3)(a - 5) = 0
a = -3 or a = 5
Because a is a side length and is a positive number
a = 5
A coffee shop s ends $408 for an order of 17 cases of paper cups.
If the coffee shop adds 5 more cases of paper cups to the order, how
much will the total cost be?
A. $120
B. $493
O
C. $528
D. $2,040
Write an equation of the line in slope-intercept form.
f(0)=9, f(2)=4
Answer:
f(x)=-[tex]\frac{5}{2}\\[/tex]x+9
Step-by-step explanation:
Use the slope formula and slope intercept formula form y=mx + b to find the equation
PLZ HELP!
Ramon earns $1,820 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Step-by-step explanation:
2.6% b/c 1820×2.6/100
x/3a*x/4a
_______
x/8a
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
C
Step-by-step explanation:
5
2
start fraction, 2, divided by, 5, end fraction of a number is what percentage of that number?
Answer:
Step-by-step explanation:
2/5=40/100 40 out of 100 is 40%
Six less than the product of 8 and a number is 7?
Step-by-step explanation:
Let x represent the number.
We have 8x - 6 = 7.
Therefore 8x = 13 and x = 1.625.
In a school with 300 students 18% of the students take violin lessons and 6% of the students take clarinet lessons.
A: find the number of students who take each type lesson.
B: How many more students take violin than take clarinet lessons?
Can someone help me out with this problem How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?
Answer:
The stack of blocks is 25.96 inches tall
Step-by-step explanation:
The Volume of a Cube
Given a cube-shaped figure of side length L, the volume is calculated by:
[tex]V=L^3[/tex]
If the volume is known, then the side length can be found by solving for L:
[tex]L=\sqrt[3]{L}[/tex]
We are given three cube-shaped blocks with known volumes. We'll find the individual side lengths and add them up to find the height that results when they stack up vertically.
Block 1, volume 375 cube inches:
[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]
Block 2, volume 648 cube inches:
[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]
Block 3, volume 1029 cube inches:
[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]
Total height=7.21 inch+8.65 inch+10.10 inch=25.96 inch
The stack of blocks is 25.96 inches tall
Find the exact value of sec 330° in simplest form with a rational denominator.
Answer:
2√3/3
Step-by-step explanation:
Sec(330°)
=1/cos(330°)
=1/√3/2 (since Cos (330°)=√3/2
=1×2/√3
=2/√3×√3/√3
=2√3/3
Answer:
[tex]\implies \sec 330^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
Please Help!!! Find the slope of the line that passes through (63, 77) and (-10, -2).
Answer:
y=79/73x+644/73
theres the equation, enjoy <3
can someone help with me this pls
Answer:
a) The class interval containing the median is the interval 2 ≤ h < 3
b) The mean number of hours the children spent on their tablets is 2.2 hours.
Step-by-step explanation:
a) The given parameters are;
The number of students that spent 0 ≤ h < 1 hour = 4
The number of students that spent 1 ≤ h < 2 hours = 8
The number of students that spent 2 ≤ h < 3 hours = 11
The number of students that spent 3 ≤ h < 4 hours = 7
The median is given by the location of the 15th child which is located in the interval given as follows;
We note that the total number of children is obtained by adding the frequencies of the intervals together, as follows;
The number of children = 4 + 8 + 11 + 7 = 30
The frequency of the first interval = 4
The sum of the first + Second intervals = 4 + 8 = 12
The sum of the first + Second + Third intervals = 4 + 8 + 11 = 23
Therefore, the class interval containing the median is the interval 2 ≤ h < 3
b) We use the midpoint of each class interval to find the mean as follows;
The mean = ∑fh/∑h
∴ The mean = (4 × 0.5 + 8 × 1.5 + 11 × 2.5 + 7 × 3.5)/(4 + 8 + 11 + 7) = 2.2
The mean number of hours the children spent on their tablets = 2.2 hours.
10 points
3. What is the slope of the line that passes through the points (2,6) and
(-2,5) ?
O A. undefined
O B. Zero
Oc. 114
OD. -1/4
Answer:
I think u kept option incorrect but the correct answer is 1/4
need help with this
Answer:
ΔABD is an obtuse triangle
Step-by-step explanation:
The type of a triangle according to its angle measures
The acute triangle ⇒ it has 3 acute anglesThe right triangle ⇒ it has 1 right angle and 2 acute anglesThe obtuse triangle ⇒ it has 1 obtuse angle and 2 acute angles0° < acute angle < 90°right angle = 90°90° < obtuse angle < 180°In triangle ABD
∵ m∠ABD = 100°
∵ m∠BAD = 50°
→ The sum of the interior angles of a triangle is 180°
∴ m∠ABD + m∠BAD + m∠BDA = 180°
∴ 100 + 50 + m∠BDA = 180
∴ 150 + m∠BDA = 180
→ Subtract 150 from both sides
∴ m∠BDA = 30°
∵ m∠ABD = 100°
∴ ∠ABD is an obtuse angle
∵ m∠BAD = 50° and m∠BDA = 30°
∴ ∠BAD and ∠BDA are acute angles
∵ ΔABD has 1 obtuse angle and 2 acute angles
∴ ΔABD is an obtuse triangle