1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here
Answers
Answer:
933+x < 1500
Step-by-step explanation:
Let x be the next purchase
The first charge of 933 and the next purchase is less than 1500 dollars
933+x < 1500
Answer:
1500>933+c
Step-by-step explanation:
,............
Related Questions
The Baker family is traveling a total of 1,045 miles from their home to Florida for a summer vacation. They traveled 409 miles on Saturday, and 239 miles on Sunday. How many more miles do they have to travel to arrive in Florida? A. 397 miles B. 648 miles C. 697 miles D. 1,603 miles
Answers
Answer: A. 397 miles
Step-by-step explanation:
Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.
409 + 239 = 648
Now, subtract the total number of miles traveled from the original distance.
1,045 - 648 = 397
Answer:
397
Step-by-step explanation:
To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397
3. Nancy and Harry are sliding a stone statue and moving it to a new location in their garden. Nancy is pushing the statue with a force of 120N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180N at a 40° angle with the horizontal. What is the magnitude of the horizontal force exerted on the statue?
Answers
Answer:
197,8879 N.
Step-by-step explanation:
The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.
The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.
With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.
The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.
F= (120 N cos 60°) + (180 N x cos 40°)
F= 197,8879 N
If someone could help me with it would be greatly appreciated. A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 60% salt and Solution B is 85% salt. She wants to obtain 40 ounces of a mixture that is 70% salt. How many ounces of each solution should she use?
Answers
Answer:
16 for Sol A and 24 for Sol B
Step-by-step explanation:
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 40 y = 40 - x
.60x + .85y = .75(40)
.60x + .85y = 30 Multiply both sides of the equation by 100 to remove the decimal points.
60x + 85y = 3000
60x + 85(40 - x) = 3000
60x + 3400 - 85x = 3000
-25x = -400
x = 16 ounces
y = 40 - 16
y = 24 ounces
Convert the following equation
into slope intercept form.
3x + y = -3
Answers
Answer: y = -3x -3
Step-by-step explanation:
y = mx + b
3x + y = -3
y = -3x -3
Answer:
slope intercept form: y=mx+c
*m = gradient
*c = y-intercept
3x + y = -3
y = -3x - 3
using the order of operation which should be done first to evaluate 6+(-5-7)/2-8(3)?
Answers
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
=> [tex]\frac{6+(-5-7)}{2-8(3)}[/tex]
=> [tex]\frac{6+(-12)}{2-24}[/tex]
=> [tex]\frac{6-12}{-22}[/tex]
=> [tex]\frac{-6}{-22}[/tex]
=> [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
he is talking about the edg question so for the 4 answers its A subtract 7 from-5 B multiply 8 and 3 C devide 7 by 2 D add 6 and -5
Which linear inequality is represented by the graph
Answers
Answer:
y≤ 2/3x+1/5
Step-by-step explanation:
y≤ 2/3x+1/5
The hypotenuse of a 45°-45°-90° triangle measures 18 cm.
A right triangle is shown. The other 2 angle measures are 45 degrees. The length of the hypotenuse is 18 centimeters.
What is the length of one leg of the triangle?
Answers
Answer:
Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Putting the values:
[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]
So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]
Answer:
answer is B 9 root 2 cm
Step-by-step explanation:
got it right on edg 2020-2021
The tip jar at a sandwich shop has been found to have a dollar value 0.65ℎ +1.25, where ℎ is the number of hours since the shop opened.
a. By how much is the value of the tip jar increasing
The tip jar is increasing by 65 cents per hour
b. How much is the initial value of the tip jar when the store opens?
Answers
Answer:
The intial value is 1.25
Step-by-step explanation:
A car travels at the speed x + 30 kilometers in one hour, where x is an unknown. Find x if this car covers 300 kilometers in 3 hours?
Answers
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.
We are given that it traveled 300 kilometres after 3 hours. So, we have...
[tex]300=3(x+30)[/tex]
[tex]100=x+30[/tex]
[tex]x=70[/tex]
9. Write in point-slope form, slope-intercept form, and standard form an equation that passes
through (- 1, 2) with slope 4.
Answers
Answer:
work is shown and pictured
Anwen walks at an average
speed of 3 km/h for 2 hours
20 minutes. How far has Anwen
walked?
Answers
Answer:
7 km
Step-by-step explanation:
2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.
Answer: 7 km
Step-by-step explanation:
In 1 hour, he did 3 km
In 2 hours, he will do 6 km
20 minutes = 20/60 = 1/3
In 20 minutes, he will do 1/3 x 3 = 1 km
So total distance travelled = 7 km
In 2007, there were more than 8.14 million cars for sale. The number of cars then decreased by 23% per year. Write an exponential growth or decay model given by the number of c cars over t years after 2007. Use this model to estimate how many cars there were in 2013?
Answers
Answer:
In 2013 there were approximately 2.2 million cars for sale.
Step-by-step explanation:
Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:
[tex]cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}[/tex]
Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:
[tex]cars(x) = 8.14*(0.77)^{x - 2007}[/tex]
If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.
[tex]cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332[/tex]
In 2013 there were approximately 2.2 million cars for sale.
Which value would make the statement true?
Answers
two polygons are similar. What is the correct similarity statement?
Answers
Answer:
option 3
Step-by-step explanation:
Given the 2 triangles are similar then corresponding angles are congruent.
Calculate the missing angles in both triangles.
∠ A = 180° - (90 + 35)° = 180° - 125° = 55°
∠ L = 180° - (90 + 55)° = 180° - 145° = 35°
Consider ACB ~ MNL , comparing corresponding angles
∠ A= 55° and ∠ M = 90° ← not congruent
Consider ABC ~ LMN, comparing corresponding angles
∠ A = 55° and ∠ L = 35° ← not congruent
Consider CBA ~ LMN , comparing corresponding angles
∠ C = 35° and ∠ L = 35° ← congruent
∠ B = 90° and ∠ M = 90° ← congruent
∠ A = 55° and ∠ N = 55° ← congruent
The correct similarity statement is
CBA ~ LMN
Answer: C) CBA ≅ LMN
Step-by-step explanation:
Match up the congruent angles:
∠C = 35°, ∠L = 90° - 55° = 35° --> ∠C ≡ ∠L
∠B = 90°, ∠M = 90° --> ∠B ≡ ∠M
∠A = 90° - 35° = 55°, ∠N = 55° --> ∠A ≡ ∠N
The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).
ΔABC ≅ ΔNML
ΔBCA ≅ ΔMLN
ΔCAB ≅ ΔLNM
ΔCBA ≅ ΔLMN
ΔACB ≅ ΔNLM
ΔBAC ≅ΔMNL
Any of these similarity statements can be used!
Erin has x working toys and y broken toys. Bert plays with Ernie's toys and breaks 1/3 of the working toys. Ernie then throws aways 1/4 of all of the broken toys. In terms of x and y, how many toys did Ernie throw away,
Answers
Answer:
y/4 + x/12
Step-by-step explanation:
The number of working toys = x
The number of broken toys = y
Bert breaks 1/3 of the working toys, that is:
1/3 * x = x/3
The number of broken toys is now:
y + x/3
Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:
1/4 *(y + x/3)
= y/4 + x/12
Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8)
Answers
Answer:
1. 60z, 36
2. 96a, 88
Step-by-step explanation:
1.
First, find the like terms for z. (60z)
Second, find the like terms for 20, 4, and 12. (36)
2.
Combine the 88a and 8a (96a)
Then combine 8 plus 80 (88)
Answer:
(50z+20)(10z+4)
=50z(10z+4)+20(10z+4)
=500z²+200z+200z+80
=500z²+400z+80
(88a+80)(8a+8)
=88a(8a+8)+80(8a+8)
=704a²+704a+640a+640
=704a²+1344a+640
Step-by-step explanation:
i hope this will help you:)
A square has a side that measures 2.75 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 94.99 units2 23.75 units2 9.62 units2 38.47 units2
Answers
Answer:
The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²
Step-by-step explanation:
The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.
2.75 × 4 = 11
So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.
[tex]Radius = \frac{circumference}{2\pi}[/tex]
Now, let;s plug in 11 for the circumference because our circumference is 11 units.
[tex]Radius=\frac{11}{2\pi}[/tex]
Multiply 2 by pi. We will use 3.14 in replacement of pi.
[tex]Radius=\frac{11}{6.28}[/tex]
Now, divide.
[tex]Radius=1.75[/tex]
So, our radius is 1.75 units. We can know use this number to find the area of the circle.
[tex]Area=r^2\pi[/tex]
Plug in 1.75 for the radius.
[tex]Area=(1.75)^2\pi[/tex]
Simplify the exponent.
[tex]Area=(3.0625)\pi[/tex]
Multiply the numbers.
[tex]Area=9.61625[/tex]
Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.
9.61625 = 9.62
So, the area of the circle is 9.62 units²
Answer:
9.62
Step-by-step explanation:
Got it on the test
Simplify a^5 take away a^3
Answers
Answer:
Step-by-step explanation:
If it was like....[tex]\frac{a^{5}}{a^{3}}[/tex]
then you subtract 5 minus 3 to be left with a^2 on the numerator
That would be how you would take it away.
Is 4/10 bigger than 4/100
Answers
Answer:
Yes
Step-by-step explanation:
4/10 = 0.4
4/100 = 0.04
0.4 > 0.04
Therefore the answer is yes
Answer:
Yes See if you get 4 are out of 10 it will be big than 4 out of 100
Step-by-step explanation:
Hope this helps
A standard six-sided die is thrown. What is the probability that the number
that comes up is less than or equal to 2?
Answers
Answer:
2/6 or 1/3
Step-by-step explanation:
There are two numbers who are equal or less than 2 its 1 and 2
And the total is 6 so its 2/6 which is 1/3
Sorry if this is late
Answer:
0.33
Step-by-step explanation:
Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi
Answers
Answer:36π mm^2
Step-by-step explanation:
Formula for area of a circle =
πr^2
r=6mm
π*6^2
π*36
36π mm^2
Answer:
36 π mm²
Step-by-step explanation:
r= 6 mm
A= πr²
A= π* 6²= 36 π mm²
_______ natural numbers are whole numbers. 1.) Some 2.) All 3.) No
Answers
Answer:
All
Step-by-step explanation:
Whole numbers are numbers 0 to infinity.
Natural numbers are numbers 1 to infinity.
So, your answer is all.
Find the slope of the line passing through (0,-5) and (-4, 7),
Answers
Answer:
m = -3
Step-by-step explanation:
The slope formula is y2 - y1 / x2 - x1
7 - -5 = 7 + 5 = 12
-4 - 0 = -4
12 / -4 = -3
I hope this helps :))
Which of the following sets represent the range of the diagram below?
Answers
Answer:
D. {3, 5, 7}.
Step-by-step explanation:
The range is the set of output values.
It's {3, 5, 7}.
The range of the set ={1,2,3,4,5} is option D which is {3,5,7}.
What is range of a set?
The range of a set is the values which are coming when we put the values of a set in a function.
How to find the range?
We are given the diagram in which the values are 1,2,3,4,5 from which arrows touching 3,5,6. So the domain of the function is 1,2,3,4,5 and the range is 3,5,7.
Hence the range of the set is option D which is {3,5,7}.
Learn more about range at https://brainly.com/question/2264373
#SPJ2
will works 6 days a week mum
Answers
Answer:
Step-by-step explanation:
ANSWER THIS AND ILL FRIEND YOU What is 4(5x+7)/2+5x simplified
Answers
Answer:
15x+14Step-by-step explanation:
[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]
A square has a perimeter of 12x + 52 units . Which expression represents the side length of the square in units?
Answers
Answer:
3x+13
Step-by-step explanation:
Perimeter of square = 4 * length
Length = Perimeter/4
Length = (12x + 52)/4
Length = 3x+13
find the value of x. m<2= x + 52
Answers
Answer: x = - 10
Step-by-step explanation:
a) Linear Pair: 138 + ∠a = 180° --> ∠a = 42°
b) Triangle Sum Theorem: ∠a + 2∠b = 180° --> ∠b = 69°
c) Vertical Angles Theorem: ∠b = ∠c --> ∠c = 69°
d) Congruent sides implies congruent angles: ∠c = ∠d --> ∠d = 69°
∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°
69° + 69° + ∠2 = 180°
∠2 = 42
x) m∠2 = 42
x + 52 = 42
x = -10
what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answers
Answer:
8n+7
Step-by-step explanation:
Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (3,6)?
Answers
========================================================
Explanation:
For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).
The predicted y value is found by plugging x = 3 into the line of best fit equation
y = 5x-2.5
y = 5(3)-2.5
y = 12.5
The residual is the difference between the two y values
e = residual
e = (observed y value) - (predicted y value)
e = 6 - 12.5
e = -6.5
The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.