Answer:
let x be the smaller number.
let x + 2 be the larger number.
4 times the smaller number is 2 more than 3 times the larger number.
in equation form, this becomes:
4x = 3 * (x+2) + 2
simplify this to get:
4x = 3x + 6 + 2 which becomes:
4x = 3x + 8
subtract 3x from both sides of this equation to get:
x = 8
this means that x+2 = 10
the smaller number is 8 and the larger number is 10.
4 times the smaller number is equal to 32.
3 times the larger number + 2 is equal to 32.
requirements of the problem check out ok, so the solution is good.
the smaller number is 8.
the larger number is 10.
Step-by-step explanation:
please mark me as the
True Or False? When the group gets to Camamzotz, Mrs. Whatsit says the 3 ladies will stay with them the whole time.
Answer:
false
Step-by-step explanation:
If f(x) is an exponential function where f(1) =11 and f(6.5) = 100, then find the value of f(12) to the nearest hundredth.
Answer: f(12) is estimated to 909.09
Step-by-step explanation:
A carpet store advertises 16 yards of carpeting for $300, which includes the $60 installation fee in the price. Let x represents the cost of one square yard of carpet. What is the price for one square yard of carpet?
Answer:one yard costs $15 (x=15)
Step-by-step explanation:
300-60=240. So, 16 yards=$240
16x=240
240/16=15
X=15 (one yard costs $15)
The price for one square yard of carpet is $15.
Given that,
A carpet store advertises 16 yards of carpeting for $300, which includes the $60 installation fee in the price. Let x represents the cost of one square yard of carpet.Based on the above information, the calculation is as follows:
[tex]= (\$300 - \$60) \div 16[/tex]
= $15
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What is the solution for the following system of equations?
X=-y
x+x+2y=6
A. (-2,2)
B. (2,-2)
C. (6,-6)
D. (-6,6)
Answer:
No solution
Step-by-step explanation:
x = -y
2x + 2y = 6
2(-y) + 2y = 6
0 = 6
the weight the wait of the oranges was 2.5 kilogrames. how many grames is this.
please help
Answer:
2500 grams
Step-by-step explanation:
someone help plssssss
Answer:
a is 9
b is 77
Step-by-step explanation:
Give me brainllest
Please help I’ll mark brainliest if correct please explain also
Answer:
2/5
Step-by-step explanation:
5x+6y=11
as we have to find x coordinate
while y coordinate 3/2 is already given in question
so only put value of y coordinate in given equation to get x coordinate value
5x+6y=11
5x+6*(3/2)=11
5x+3*3=11
5x+9=11
5x=11-9
5x=2
x=2/5
triangle has an area of 230.86 square inches. The height of the triangle is 23.8 inches. What is the length of the base of the triangle?
19.4 inches
Step-by-step explanation:
Area of the traingle = 230.86 sq. inches
Height of the triangle = 23.8 sq. inches
We have,
Area of the triangle = 1/2bh
where,
b = base of the traingle
h = height of the triangle
Now, substituting the given info we get,
230.86 = 1/2b (23.8)
230.86 × 2/23.8 = b
b = 19.4
So, the base of the triangle is 19.4 inches
I need help with this question
Answer:
2n=12
Step-by-step explanation:
The next step would be to subtract four from each side getting 2n=12 or B
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Step-by-step explanation:
Answer:
Do you need help with something or is this fr33 points?
FREE BRAINLEST.
The ______ number in an ordered pair is the y-coordinate and corresponds to a number of the ______.
Answer:
The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.
Step-by-step explanation:
hope this helps you! :)
The second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.
What is Coordinate System?a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
An ordered pair contains the coordinates of one point in the coordinate system.
A point is named by its ordered pair of the form of (x, y).
In an order pair the first number represents the x coordinate and the second number represents the y coordinate.
To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Hence, the second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.
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Help need answer rn.
Answer:
The 3rd one
Step-by-step explanation:
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
-24 + 12d = 2(d-3) + 22
a person earns $18,200 one year and gets a 5% raise in salary what is the new salary
Answer:
$19,110
Step-by-step explanation:
18,200 x 1.05 = 19,110
whats the scale factor from shape a to shape b
Answer:
scale factor = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
scale factor = [tex]\frac{50}{30}[/tex] = [tex]\frac{5}{3}[/tex]
Then
[tex]\frac{x}{15}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
3x = 75 ( divide both sides by 3 )
x = 25
and
[tex]\frac{18}{y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
5y = 54 ( divide both sides by 5 )
y = 10.8
A second linear function, y = mx + 4, has the same slope as the
function in the table. What is the value of m?
Answer:
Step-by-step explanation:
Pat bounces a basketball 25 times in 30 seconds.At that rate, approximately how many times a will Pat bounce the ball in 150 seconds?
A. 120
B.125
C.144
D.145
Answer:
b........... ........
Answer:
B.125
Step-by-step explanation:
25:30->?:150
150/30=5
25:30x5=125:150
Shakir has relatives in Ottawa, Canada. His aunt told him that the average temperature in April is 8.6°C higher than it is in March. She also said that the average temperature in February is −11.8°C.
If the average temperature in April is 3.8°C, how much colder is the average temperature in February than the average temperature in March?
a
It is 7°C colder.
b
It is 4.8°C colder.
c
It is 3.2°C colder.
d
It is 24.2°C colder.
Answer:
Step-by-step explanation:
did u get the answer?//
I Will give brainliest if I can!
Please keep it simple no big maths stuff please!
Thanks in advance!
Whats the slope using Rise/Run?
Thanks
Answer: 1/4
Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4
Hope this helps!
Alec drew a scale drawing of an arcade. The scale of the drawing was 8 inches : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?
Answer:
[tex]24 = x[/tex]
Step-by-step explanation:
Write a proportion. Remeber that same units corresponds with each other.
[tex] \frac{8}{3} = \frac{x}{9} [/tex]
Cross multiply
[tex]72 = 3x[/tex]
[tex]24 = x[/tex]
What is the equation of the line that passes through the point ( − 0.5 , 8 ) and has a slope of − 5
Answer (assuming that the equation can be written in point-slope form):
[tex]y-8 = -5(x+\frac{1}{2} )[/tex]
Step-by-step explanation:
Use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] , to write the equation of the line in point-slope form. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute -5 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: [tex]-\frac{1}{2}[/tex]. So, substitute [tex]-\frac{1}{2}[/tex] for [tex]x_1[/tex] and 8 for [tex]y_1[/tex]. This gives the following answer and equation:
[tex]y-8 = -5(x+\frac{1}{2} )[/tex]
Which statement about the quadratic equation below is true?
2x2 - 15x + 18 = 0
Answer:
x=3/2 or x=6
Step-by-step explanation:
2x2−15x+18=0
Step 1: Factor left side of equation.
2x^2-12x-3x+18=0
taking common factors
2x(x-6)-3(x-6)=0
(2x−3)(x−6)=0
Step 2: Set factors equal to 0.
2x−3=0 or x−6=0
x=3/2 or x=6
A gaming PC valued at $2500 depreciates at a rate of 12.5% per year.
Write a function that models the value of the computer over time.
Find the value of the PC after 3 year.
Answer:
v=2500-312.5x, after 3 years its worth 1562.5$
Step-by-step explanation:
Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary.
x^2 – 6x + 7 = 0
Answer:x=3±√2
Decimal Form:
x=4.41421356
Step-by-step explanation:
:D
PLEASE HELP:
Rosa has a goal of running a total of 100 miles this month. Each day that she ran, she ran 5 miles. Which expression could Rosa use to determine how many miles she has left to run after running for “d” days?
A. 100 - 5d
B. 5d + 100
C.1005d
D. 5d
Answer:
It would b A
Step-by-step explanation:
this is a tricky one
find the value of x in this equation??
4/6x−1=9−1/6x
(the numbers with the / is a fraction btw)
Can someone help me please
Answer:
Ummm ion even know I'm still in elementary/ 5 th
What is the measure of angle CBD? ° What is the length of segment CD? cm Which trigonometric ratio can be used to compare BC to CD using angle CBD? What is the approximate length of BC? cm What is the approximate length of BD? cm
Answer:
Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1. For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.
2. Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.
3. The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).
4. The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.
5. The approximate length of BC can be determined as,
Tan(54°)=CD/BC
BC = CD/Tan(54°)
BC = 8.719 cm
6. The approximate length of BD can be determined using the Pythgorus theorem,
BD² = CD² + BC²
BD = 10.5835 cm
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What is the surface area of the three-dimensional figure formed by the net shown?
Answer:
336 cm²
Step-by-step explanation:
1 rectangle 24 cm by 12 cm
1 triangle with base 12 cm and height 8 cm (combining the two small triangles into 1 larger triangle)
SA = 24 cm * 12 cm + 12 cm * 8 cm / 2
SA = 288 cm² + 48 cm²
SA = 336 cm²