2x + 22 4x – 2 3x + 3
find x
Answer:
?Incomplete question!!
By what means these algebraic expressions are related?
4 boxes can hold 40 books how many books per box
Answer:
10 books per box
Step-by-step explanation:
40÷4
=10
10×4= 40
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $18,000.00, how much was the car worth when she bought it?
Answer:
$20,000.00
Step-by-step explanation:
90% = 0.90
18000/0.90 = $20,000
CHECK
0.90 x $20,000 = $18,000
Anthony is preparing to paint a large shipping container and needs to calculate the area of the container so he can buy the correct
amount of paint. The equation he uses to find the area, A, in square feet is A = 2(w + hw +1h) where / is the length, w is the width,
and h is the height of the container. The container is 8 feet wide, 12 feet high, and 24 feet long. What is the area of the container
in square feet?
Answer:
1152 square feetStep-by-step explanation:
The dimensions of the container:
w = 8 feet, h = 12 feet, l = 24 feetThe area of the container is:
A = 2(lw + hw + lh)A = 2(24*8 + 12*8 + 24*12) = 1152 square feetKarl drove 612.9 miles. For each gallon of gas, the car can travel 41 miles. What is a reasonable estimate of the number of gallons of gas Karl used? Select all that apply.
A 1.4 gallons
B 15 gallons
C 14 gallons
D 1.5 gallons
E 140 gallons
Answer:
B. 15 gallons
Step-by-step explanation:
We don't need an exact answer, so we estimate
To do this, we round
41 is a tens number, so I'm going to round to the nearest 10
40
612.9 is a hundreds number, so I'm rounding to the nearest hundred
600
for EACH gallon, the car drives(roughly) 40 miles. If I have driven(roughly) 600 miles, that means I have used 600/40=15 gallons
please help !!!
A toddler slides down a slide that is 8 feet long that makes an angle of 24 with the ground. How high is the slide ?
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Answer:
about 3.25 feet
Step-by-step explanation:
The relevant trig relationship is ...
Sin = Opposite/Hypotenuse
sin(24°) = height/(8 ft)
height = (8 ft)sin(24°) ≈ 3.254 ft
The slide is about 3.25 feet high.
Find the circumference of a circle with radius, r = 16m. Give your answer in terms of π .
Answer:
[tex]32\pi[/tex] meters
Step-by-step explanation:
The formula for finding the circumference of a circle is [tex]C=2\pi r[/tex], where [tex]C[/tex] = circumference and [tex]r[/tex] = radius. In this case, we are solving for [tex]C[/tex] and we know that [tex]r=16[/tex], so after substituting [tex]r=16[/tex] into [tex]C=2\pi r[/tex], we get:
[tex]C=2\pi r[/tex]
[tex]C=2\pi *16[/tex] (Substitute [tex]r=16[/tex] into [tex]C=2\pi r[/tex])
[tex]C=32\pi[/tex] (Simplify RHS)
Hope this helps!
We have,
Radius of the circle = 16 m
We know,
Circumference = 2πr
∴ Circumference = 2π × 16 m = (32π) m.
Jeremy mowed several lawns to earn money. After he paid $17 for gas, he had $75 leftover. How much did he earn?
Answer:
75 + 17 = 92
Step-by-step explanation:
Please show the work
Answer:
[tex]A.f(x) = x^{2} -2x - 15[/tex]
Step-by-step explanation:
Based on the given information, one can write the quadratic equation in factored form. Since the zeros of the equation are the roots, one can say that;
[tex]y = ( x + 3 )( x - 5)[/tex]
(where x = -3, and x = 5 are the roots)
Now all one has to do is distribute to find the quadratic equation in standard form;
[tex]y = (x + 3) (x - 5)\\y = x^{2} +3x - 5x - 15\\y = x^{2} -2x - 15[/tex]
What is the approximate area of the circle shown below?
A. 251 in
B. 5027 in 2
C. 126 in2
D. 20,106 in?
Answer:
B. 5027 in²Step-by-step explanation:
Area of a circle = π r²
where r = 80/2 = 40 in
plugin value of r=40in into the formula:
Area of a circle = π r²
= π (40)²
= 5027 in²
Veronica wants to buy a new bicycle. The bicycle costs $310. Veronica
opened a savings account with $50. She also got a job and plans to
save $20 a week. How long will it take her to save up enough money
for the bike?
Step-by-step explanation:
bicycle cost= 310
initial money in savings account= 50
additional money saved per week = 20
number of weeks = w
you have to set up an equation
The equation is...
bicycle cost = additional money saved × w + initial money
Substitute the values
310 = 20w + 50
Solve for w
310 - 50 = 20w +50 - 50
260 = 20w
260÷ 20 = 20w÷ 20
13 = w
It will take 13 weeks for her to have enough money for her bicycle
I hope this helps!!!
which is farther in order 2.5 miles,3.2 kilometers, 2300 meter, 3000 yards
Answer:
2300 meters, 3000 yards, 3.2 kilometers, 2.5 miles is smallest distance to longest distance. so the furthest, to the closest would be:
2.5 miles, 3.2 kilometers, 3,000 yards, 2,300 yards
Step-by-step explanation:
I hope this helps :)
Child admissions is 5.50 adult admission is 9.80 159 tickets where sold total sales 1136.80 how many where child admissions
Answer:
98
Step-by-step explanation:
Given that:
Total number of tickets sold = 159
Ticket price for child admissions = 5.50
Ticket price for adult admissions = 9.80
Total money spent = 1136.80
To find:
The number of child admissions.
Solution:
Let number of child admissions = [tex]x[/tex]
Let number of adult admissions = [tex]y[/tex]
As per question statement:
[tex]x+y = 159[/tex] ...... (1)
and
Money spent for child admissions = 5.50[tex]x[/tex]
Money spent for adult admissions = 9.80[tex]y[/tex]
[tex]5.50x+9.80y = 1136.80[/tex] ...... (2)
Using equation (1):
[tex]y = 159-x[/tex]
Putting in equation (2) from above:
[tex]5.50x+9.80(159-x) = 1136.80\\\Rightarrow 5.50x+1558.2-9.8x=1136.80\\\Rightarrow 4.3x = 421.4\\\Rightarrow x = \bold{98}[/tex]
Therefore, total number of child admissions is 98.
-5x + 20 <5
I need help!
Answer:
Step-by-step explanation:
I’d vhvhvmvjvhkvhvkfygjghk
Answer:
x>3
Step-by-step explanation:
-5x+20<5 (move the constant to the right)
-5x<5-20 (calculate)
-5x<-15 (divide both sides)
solution: x>3
hope this helps!
can you guys help me find the domain? (finding the domain graphically)
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Hope this helps i would give answer but i dont know what the answer is so sorry but hope this helps you.
Evaluate 5 - (4 + 2)2
O A. 9
O B. -15
O C. 5
O D.-31
Answer:
exponents first then multiply and subtract after
Step-by-step explanation:
the answer is 5
please help and thank you!
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Answer:
base area: 21 ft²volume 105 ft³Step-by-step explanation:
The area of a triangle is given by the formula ...
A = (1/2)bh
The base and height of a right triangle can be taken to be the leg lengths, since each is perpendicular to the other.
A = (1/2)(6 ft)(7 ft) = 21 ft² . . . . base area
__
The volume is the product of the base area and the height:
V = Bh
V = (21 ft²)(5 ft) = 105 ft³ . . . . volume
The price of one share of a stock increased by $3 on Monday and then decreased by $4 on Tuesday. Which expression shows the change in the price of a share of the stock in two days?
Answer:
I think it's 3+(-4)
Hope this helps
Simplify the following expression:
__-16-8__ + 25 / 5 + 1
2
A. -18
B. 6
C. 10
D. -6
Answer:
-6
Step-by-step explanation:
What are two numbers that have a product of - 40 and have a sum of 18?
Step-by-step explanation:
xy = -40 and x + y = 18
=> x(18 - x) = -40
=> 18x - x² = -40
=> x² - 18x - 40 = 0
=> (x - 20)(x + 2) = 0
=> x = 20 or x = -2.
The two numbers 20 and -2.
Answer:
let the numbers be x and y
[tex]xy = - 40 - - - (i) \\ x + y = 18 - - - (ii) \\ from \: (ii) \\ x = 18 - y \\ substitute \: for \: x \: in \: (i) \\ (18 - y)y = - 40 \\ 18y - {y}^{2} = - 40 \\ {y}^{2} - 18y - 40 = 0 \\ use \: the \: quadratic \: equation \: to \: get \: y \\ and \: y \: will \: give \: u \: x[/tex]
x = 20
hence y = 18-20
y = -2
or
x = -2
hence y = 18-(-2)
y = 20
The numbers are -2 and 20
Kim drives 156 miles from rotherham to london she drives at an average speed of 60 miles per hour she leaves rotherham at 7:30 am does she arrive before 10:00 am?
Given :
Kim drives 156 miles from rother ham to London she drives at an average speed of 60 miles per hour she leaves rother ham at 7:30 am .
To Find :
Can she arrive before 10:00 am.
Solution :
Time taken to cover 156 miles with speed of 60 miles per hour.
[tex]t= \dfrac{Distance}{Time\ taken}\\\\t = \dfrac{156}{60}\ hour\\\\t = 2.6\ hours[/tex]
To arrive before 10:00 am she has only 2.5 left.
But time taken is 2.6 hours which is greater than 2.5 hours.
Therefore, Kim cannot arrive there before 10:00 am.
Answer:
10am
Step-by-step explanation:
Convert the equation from intercept form to standard form.
y= 3(x-1)(x-4)
Answer:
I think the answer is y = 3x + 12.
Step-by-step explanation:
y = 3 (x - 1) (x - 4)
y = 3x -3 (x - 4)
y = 3x + 12
is 3 1/4 a rational number
Answer: Yes the mixed 3 1/4 is a rational number.
Step-by-step explanation:
Find the slope of the line that contains (6, 2) and (6, -3).
A -1
B -5
C undefined
D 0
You and a friend are buying lemons and sugar for a lemonade stand. You spend $14.45 to buy lemons and your friend spends $8.85 to buy sugar. How much does it cost to make the lemonade?
Answer:
23.3
Step-by-step explanation:
Answer:
$23.30
Step-by-step explanation:
Find the standard deviation if the mean of a sample is 72, a z-score of 3 Raw Score: 42 Raw Score: 81
Answer:
a) when x = Raw Score: 42
Standard deviation = σ = -10.3
b) Raw Score: 81
Standard deviation = σ = 2.67
Step-by-step explanation:
Find the standard deviation if the mean of a sample is 72, a z-score of 3
Z score formula is given :
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean = 73
σ is the population standard deviation
z = 3
a) when x = Raw Score: 42
z = (x-μ)/σ
3 = 42 - 73/σ
Cross Multiply
3σ = 42 - 73
3σ = -31
σ = -31/3
σ = -10.3
b) Raw Score: 81
z = (x-μ)/σ
3 = 81 - 73/σ
Cross Multiply
3σ = 81 - 73
3σ = 8
σ = 8/3
σ = 2.67
You want to buy a DVD that costs $19.95. Estimate the total cost if the sales tax rate is 8%.
a. 21.00
B. 2.00
C. 1.60$ which is wrong
D. 22.00
Answer:
$22.00
Step-by-step explanation:
19.95x8%=1.596
19.95+16=21.55
Tell whether the data in the table can be modeled by a linear equation. Explain.
Answer:
Yes, it can.
Step-by-step explanation:
Every time x increments by 1, y increments by 0.2.
The linear equation that satisfies the given data will be y = 0.2x + 1.2.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The table is given below.
x 0 1 2 4
y 1.2 1.4 1.6 2
The line is passing through (0, 1.2). Then the value of 'c' will be
1.2 = m * 0 + c
c = 1.2
The line is also passing through (4, 2). Then the value of 'm' will be
2 = 4m + 1.2
m = 0.2
The linear equation that satisfies the given data will be y = 0.2x + 1.2.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ3
Given: SV || TU and SVX = UTX
Prove: VUTS is a parallelogram.
State the given then use
CPCTC to say all their parts match and say what specifically makes it a parallelogram.
Answer:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Step-by-step explanation:
The given figure VUTS is a parallelogram.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that,
SV ║TU
Also ΔSVX ≅ ΔUTX
Since both the triangles are congruent, corresponding sides are equal.
SV = UT
SX = UX
VX = TX
Consider two triangles ΔVUX and ΔSTX.
Already we have 2 corresponding sides of these triangles are equal from above.
So third side is also equal.
Since US is a transversal line that cuts the parallel lines VS and UT, ∠VUX = ∠TSX (alternate interior angles)
Similarly, VT is also a transversal line that cuts the parallel lines VS and UT,
∠UVX = ∠STX
So the two lines VU and ST are parallel.
Hence the figure is parallelogram since opposite sides are equal and parallel.
Learn more about Parallelogram here :
https://brainly.com/question/29147156
#SPJ2
What is the value of a, if the graphs of 3y + x = 0 and 4y + ax + 3 = 0 are to meet at a right angle?
Answer:
a = -12
Step-by-step explanation:
For two lines to meet at a right angle, they are perpendicular to each other. Therefore the product of the slopes of the two lines is -1.
The slope of 3y + x = 0 will be -1/3 (rearrange the terms, 3y = -x and therefore y = -1/3 x).
The slope of 4y + ax + 3 = 0 will be -a/4. (4y = -ax - 3, therefore y = -a/4 x - 3/4)
Since the product of the slopes is -1, we can set up an equation now.
-1/3 * -a/4 = -1
a/12 = -1
a = -12