Answer:
The first operation performed when evaluating the given expression [tex]5+(\frac{9x-3}{2})[/tex] for x=5 is given below :
Step 1: Put x=5 in the above given expression we get
[tex]5+(\frac{9(5)-3}{2})[/tex]
Step-by-step explanation:
Given equation is [tex]5+(\frac{9x-3}{2})[/tex] for x=5
To find the first operation performed when evaluating the given expression [tex]5+(\frac{9x-3}{2})[/tex] for x=5
[tex]5+(\frac{9x-3}{2})[/tex]
Step 1: Put x=5 in the above expression we get
[tex]5+(\frac{9(5)-3}{2})[/tex]
[tex]=5+(\frac{45-3}{2})[/tex]
[tex]=5+(\frac{42}{2})[/tex]
[tex]=5+21[/tex]
[tex]=26[/tex]
Therefore [tex]5+(\frac{9x-3}{2})[/tex] for x=5 is 26
Therefore [tex]5+(\frac{9x-3}{2})=26[/tex] for x=5
LOOKING FOR BRAINLIEST !!Ashton surveyed some of the employees at his company about their cell phone habits. From the data, he concluded that most employees at his company use cell phones primarily for business. For which sample could this generalization be valid?
A.
all managers in the company
B.
some managers and some sales executives selected at random
C.
every fifth employee on the employee list
D.
every other sales executive on the employee list
Use 10 for m. Then find the value of the expression 3.5m.
Answer:
30
Step-by-step explanation:
the required ans 30 or the valuse is 30
Given Angle 1 = Angle 2,
find x.
Answer:
x = 6
Step-by-step explanation:
Given ∠ 1 = ∠ 2 then the segment is an angle bisector and the ratios of sides to base are equal, that is
[tex]\frac{3}{x-4}[/tex] = [tex]\frac{x}{4}[/tex] ( cross- multiply )
x(x - 4) = 12 ← distribute left side
x² - 4x = 12 ( subtract 12 from both sides )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
However, x > 0 , thus x = 6
PLZ Help Picture included. Thanks+brainlyest is correct.
Answer: [tex]\angle GFH[/tex]
Step-by-step explanation:
A Transversal is defined as a line that intersect two or more lines.
For this exercise it is important to know that when a Transversal cut two parallel lines, several angles are formed. These are grouped in pairs.
One of those pairs are called "Alternate exterior angles".
Alternate exterior angles are those non-adjacent angles that are located outside the parallel lines and on opposite sides of the Transversal.
Alternate exterior angles are congruent, which means that they have equal measure.
In this case you know that the Transversal [tex]CH[/tex] cuts the parallel lines [tex]AD[/tex] and [tex]EG[/tex].
Therefore, based on the explanation given before, you can identify in the picture given in the exercise that the angles [tex]\angle ABC[/tex] and [tex]\angle GFH[/tex] are Alternate exterior angles.
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
(8π -8√3) cm²
Step-by-step explanation:
The area of a circle with radius 4 cm is given by ...
A = πr² = π(4 cm)² = 16π cm².
The red shaded portion is part of a semicircle. That semicircle will have an area half that of the circle, so ...
A/2 = 8π cm²
__
The triangle OCB is an equilateral triangle, so the angle at B is 60°. The side AC is then √3 times side BC*, so is 4√3 cm. The area of triangle ABC is then ...
A = (1/2)AC·BC = (1/2)(4√3 cm)(4 cm) = 8√3 cm²
This area is subtracted from that of the semicircle to obtain the red shaded area:
red area = semicircle area - triangle area
red area = (8π -8√3) cm²
____
* AC can be found either from the Pythagorean theorem (√(8²-4²)), using trig functions (4tan(60°)), or using your knowledge of 30°-60°-90° triangles.
What math property is this 19(24)=19(20)+19(4)
Answer:
Distributive Property
Step-by-step explanation:
19(24)=19(20)+19(4)
456 = 380 + 76
456 = 456
Hope this helps
-Amelia
Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
----------------------------------------------------------
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{a}[/tex]
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a = [tex]\frac{18}{tan48}[/tex] ≈ 16.2 ( to the nearest tenth )
-----------------------------------------------------------
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{c}[/tex]
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c = [tex]\frac{18}{sin48}[/tex] ≈ 24.2 ( to the nearest tenth )
It took mr. Raleigh a total of 9 hours to drive to his grandpa’s house. He drove m miles before lunch 240 miles after lunch. If he drove at a constant speed, what expression can be used to find how many miles Mr.Raleigh drove each hour?
SOLVE THE EQUATION
j-5=3.4
j=?
What is the total cost of 1.9 cubic meters of soil if it sells for $40
Answer:
Step-by-step explanation:
Total cost = 1.9* 40 = 76.0 = $76
When unit rate is given,multiply.
The total cost of 1.9 cubic meters of soil is $76. This is calculated by multiplying the amount of soil bought (1.9 cubic meters) by the cost of one cubic meter of soil ($40).
Explanation:To calculate the total cost, we have to multiply the amount of soil bought (in cubic meter) by the cost of one cubic meter of soil. Here, the student is buying 1.9 cubic meters of soil and the cost of one cubic meter of soil is $40.
So, Total cost = amount of soil * cost of one cubic meter of soil
= 1.9 * 40
= $76
Therefore, the total cost of 1.9 cubic meter of soil is "$76."
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3. Kurt's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.
The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.
Step-by-step explanation:
Given,
Distance covered by Kurt's car = 23 miles per gallon of gasoline
Kurt fills up tank of his car with g gallons.
Number of gallons in car's tank = g gallons
Distance covered by g gallons = D = Distance covered by one gallon * Number of gallons
D = 23*g
D = 23g
The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.
Keywords: distance, multiplication
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Write each decimal as a fraction in simplest form
0.8
Answer:
4/5
Step-by-step explanation:
.8 is the same as 8/10
8/10 simplifies to 4/5 as both the numerator and denominator can be divided by 2
Answer:
Step-by-step explanation:
0.8 = 8/10 = 4/5
Water tower. Model depth 32cm actual depth is ?m
The question involves converting the model depth from centimeters to meters, which typically requires dividing by 100. However, without a specific scale or additional detail, the direct conversion of 32cm would be 0.32 meters.
Explanation:The student's question is about converting the depth of a model water tower, provided in centimeters, to its actual depth in meters without giving a specific depth in the question. This concept usually involves understanding the scale of models and how to apply proportional reasoning to determine actual sizes. However, without a specific scale or the actual depth given in the question, we can't calculate the actual depth.
Generally, to convert from centimeters to meters directly, we divide the length in centimeters by 100, because 1 meter equals 100 centimeters. For example, if a model tower's depth is 32cm, to find this depth in meters, you would divide 32 by 100, which equals 0.32 meters.
(-6x3-4x2-8)+(x3-x2-9x+4) add together and simply
Answer:
-5x³ -5x² -9x - 4
Step-by-step explanation:
(-6x³-4x²-8)+(x³-x²-9x+4)
Add the like terms.
-6x³ and x³ are like terms. -6x³ + x³ = -5x³
-4x² and -x² are like terms. -4x² - x² = -5x²
-8 and 4 are like terms. -8 + 4 = -4
-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4
PLEASE HELP, WILL MARK BRAINLIEST
SELECT ALL THAT APPLY.
Which of the following could you use to solve this problem?
What is 25% of 37?
a. x/37 = 25/100
b. p = (0.25)37
c. 37/0.25 = w
d. 25/100 x 37
SELECT ALL THAT APPLY.
Answer:
A, B, D
Step-by-step explanation:
25% of 37
= 25/100 × 37
= 1/4 × 37
= 0.25 × 37
= 9.25
To find 25% of 37, you can use the equations: 'x/37 = 25/100', 'p = (0.25)37', and '25/100 x 37'. Option '37/0.25 = w' is not appropriate for finding 25% of 37.
Explanation:To find 25% of 37, you can use the following methods: a), b), and d).
These three options essentially represent how percentages can be calculated:
a) This represents 25% as a fraction (25/100) with 37 as the total (x/37). Solving for x gives you the answer. b) This signifies that 25% is converted to a decimal (0.25), and then multiplied by 37 to get the answer. d) It's similar to option a, but this time the fraction is multiplied by the total amount (25/100 * 37) directly making it a single step process.
Option c) is not suitable here because by dividing 37 by 0.25, you are finding out how many times 25% can fit into 37, not 25% of 37.
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In the piece-wise function graphed below, which is the correct equation for when − 2 ≤ x ≤ 2
y=-2x+2
y=-1/2x+2
y=-2x+4
y=-1/2x+4
Answer:
y=-1/2x+2
Step-by-step explanation:
y = mx + p
m=slope = -1/2
p= y-intercept = 2
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 2
Step-by-step explanation:
The segment for - 2 ≤ x ≤ 2 is a straight line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 1) ← the endpoints of the line
m = [tex]\frac{1-3}{2+2}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
Note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = - [tex]\frac{1}{2}[/tex] x + 2 ← equation for - 2 ≤ x ≤ 2
What is the slope of the line shown below?
(5, 1)
(-3, -1).
Answer:
I believe it is 1/4
Sorry if I am wrong
the answer is 1/4
this is from apx :))
How do I solve this?
Answer:
The equation of the required straight line is y = 4x + 1.
Step-by-step explanation:
The equation of all the straight lines that are parallel to the straight line y = 4x - 3 is given by
y = 4x + c .............. (1)
where, c is any real constant and c ≠ - 3.
{Since parallel straight lines have the same slope and different y-intercept }
Now, we have to find the value of c such that the parallel straight line passes through the point (-1,-3).
Now, putting x = - 1 and y = - 3 in equation (1) we get,
- 3 = 4(- 1) + c
⇒ c = 1
Therefore, the equation of the required straight line is y = 4x + 1. (Answer)
Use substitution to solve the system of linear equations. In your final answer, include all of your work.
y = -3x + 4
y + 1/3y = 4/3
The solution is [tex](1,1)[/tex]
Step-by-step explanation:
The system of linear equation is
[tex]y=-3x+4[/tex] and [tex]y+\frac{1}{3} y=\frac{4}{3}[/tex]
Using substitution method, let us substitute [tex]y=-3x+4[/tex] in the equation
[tex]y+\frac{1}{3} y=\frac{4}{3}[/tex]
[tex]-3 x+4+\frac{1}{3}(-3 x+4)=\frac{4}{3}[/tex]
Multiplying the term [tex]-3x+4[/tex] by [tex]\frac{1}{3}[/tex], we get,
[tex]-3 x+4-x+\frac{4}{3}=\frac{4}{3}[/tex]
Subtracting both sides by [tex]\frac{4}{3}[/tex],
[tex]-3x+4-x=0[/tex]
Simplifying, we get,
[tex]\begin{aligned}-4 x+4 &=0 \\-4 x &=-4 \\x &=1\end{aligned}[/tex]
Now, substitute [tex]x=1[/tex] in [tex]y=-3x+4[/tex]
[tex]y=-3(1)+4\\y=-3+4\\y=1[/tex]
Thus, the solution is [tex](1,1)[/tex]
Answer:
y = -3x + 4
x + 1/3y = 4/3
Substitute the first expression into the second equation for y:
x + 1/3(-3x + 4) = 4/3
x - x + 4/3 = 4/3
4/3 = 4/3
Thus, all real numbers are solutions.
Step-by-step explanation:
HOPE THIS HELPS, GOOD-LCK, and Brainliest, also let me know if i am wrong.
In the standard (x,y) coordinate plane, what is the slope of the line joining the points (5,4) and (2,-7)?
Answer:
slope = [tex]\frac{11}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, - 7)
m = [tex]\frac{-7-4}{2-5}[/tex] = [tex]\frac{-11}{-3}[/tex] = [tex]\frac{11}{3}[/tex]
A line passes through the point (4,-7) and has a slope of 3/2. Write an equation in point-slope form for this line.
Answer:
Step-by-step explanation:
y - y1 = m(x - x1)
slope m = 3/2, y1 = -7, x1 = 4
y + 7 = 3/2(x - 4)
y + 7 = 3x/2 - 6
y = 3x/2 - 6 - 7
y = 3x/2 - 13
Choose Yes or No to tell if the fraction
3
5
will make each equation true.
7
20
+
□
=
19
20
□
+
3
10
=
3
15
1
2
+
2
3
=
□
1
10
+
1
2
=
□
can someone please answer this for me thank you
The fraction 3/5 makes only the fourth equation true when added with the existing fractions. The first three equations do not yield true results when 3/5 is added.
Explanation:In Mathematics, when dealing with fractions, we need to maintain the rules of basic arithmetic, meaning that equal sums must be identical on both sides of the equation. Let's check each of these equations with the fraction 3/5:
Equation 1: 7/20 + 3/5 = 14/20 + 12/20 = 26/20 ≠ 19/20. So, the answer is 'No'.
Equation 2: 3/5 + 3/10 = 12/20 + 6/20 = 18/20 ≠ 3/15. So the answer is 'No'.
Equation 3: 1/2 + 2/3 ≠ 3/5. So the answer is 'No'.
Equation 4: 1/10 + 1/2 = 2/20 + 10/20 = 12/20 = 3/5. So the answer is 'Yes'.
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412 Divided by four show your work
Answer:
103
Step-by-step explanation:
You start with long division 4 goes into 4 1 time and then 0 cause you have nothing else drop the 12 and then 4 goes into 12 3 times 103
Answer:
103
Step-by-step explanation:
If you solve it using partial quotients, it would be eaisier to demonstrate than using another method like standard division.
Hope this helps!
-Coconut;)
What’s the value of m?
Answer: The answer is....I don't remember how to do this sort of problem...... sorry.....
Step-by-step explanation: So the three angles of a triangle equal to 180°.
First you have to find the angle that's missing besides "m"
Second add together the two angles you have.
Then You subtract the sum from 180.
Finally you have your answer.
what is the answer for the question 20.x+90
Answer:
20.x + 90 = 110.x
Writing and graphing linear equations
Answer:
whats the question?
Step-by-step explanation:
13x + 8 = 5x
Whats the answer ?
Answer:
Answer:Let's solve your equation step-by-step.
Step 1:
13x+8−5x=5x−5x
8x+8=0
Step 2: Subtract 8 from both sides.
8x+8−8=0−8
8x=−8
Step 3: Divide both sides by 8.
8x
8
=
−8
8
x=−1
Answer:
x=−1
Answer:
the solution of given problem is x= -1
Step-by-step explanation:
step:-1
given equation is 13 x+8=5 x
subtracting 5 x on both sides we get
[tex]13 x +8-5 x = 5 x -5 x[/tex]
simplify [tex]8x +8 =0[/tex]
subtracting 8 on both sides , we get solution is
[tex]8 x = -8[/tex]
[tex]x=-1[/tex]
A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times. About how far had the horse traveled after walking around the track 5 times? Explain
The horse traveled 439.6 feet after walking around the track 5 times
Solution:
Given that, horse walks around a circular track while its trainer stands in the center
The trainer is 14 feet from the horse at all times
Therefore, radius of circular track = 14 feet
The circumference of circle is the distance traveled by horse for 1 lap
The circumference of circle is given as:
[tex]C = 2 \pi r[/tex]
Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14
[tex]C = 2 \times 3.14 \times 14\\\\C = 87.92[/tex]
Thus the distance traveled by horse for one time in circular track is 87.92 feet
About how far had the horse traveled after walking around the track 5 times?
Multiply the circumference by 5
[tex]distance = 5 \times 87.92\\\\distance = 439.6[/tex]
Thus the horse traveled 439.6 feet after walking around the track 5 times
From a standard deck of 52 cards, what is the probability of picking a 6 at random from the deck?
A) 1/13
B) 1/26
C) 1/4
D) 1/52
Answer:
1/13
Step-by-step explanation:
since there are four 6 in a deck ( 1 for each suite )
probability of picking up a 6 is 4/52 = 1/13
A: 1/13
Divide 52 by 4 because there are 4 copies of each card in the deck (Not counting joker) You should get 13 and if you are drawing only ONE card, then you will have a 1/13 chance to draw a 6
A college with a graduating class of 4000 students in the year 2008 predicts that its graduating class
will grow 5% per year. Write an exponential function to model the number of students y in the graduating class t years
after 2008.
Answer:
[tex]y=4000*(1.05)^t[/tex]
Step-by-step explanation:
The graduating class grows by 5% each year, this means after 1 year the number of students graduating will be 105% of 4000, or
[tex]4000*\frac{105}{100} =4000*1.05[/tex]
And after 2 years it will be
[tex](4000*1.05)*1.05[/tex]
and so on. Thus, after [tex]t[/tex] years the number of students [tex]y[/tex] will be
[tex]\boxed{ y=400*(1.05)^t}[/tex]
An exponential function to model the number of students y in the graduating class t years after 2008 is y = 4000(1.05)^t
Exponential functionsThe standard exponential function is expressed as:
y = ab^x
a is the initial populationb is the rate x is the timeIf a college with a graduating class of 4000 students in the year 2008 predicts that its graduating class will grow 5% per year, hence the required exponential equation will be:
y = 4000(1.05)^t
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