Answer:
2 Height ft and 6.75 length ft
Step-by-step explanation:
You just decrease it to 1:16
so, 34:108 is 2:6.75 to be about the same size as 1:16
8 + 4(5 + 9s) = ???
Answer:
Step-by-step explanation:
Complete the steps for x.
5/6x- 1/5x =19
5/6x- 1/5x =19
?/30x=19
Answer:
x = 30
Step-by-step explanation:
5/6x- 1/5x =19
Get a common denominator of 30
5/6x * 5/5 - 1/5x * 6/6 = 19
25/30x - 6/30x = 19
19/30x = 19
Multiply each side by 30/19
19/30x * 30/19 = 30/19 * 19
x = 30
Answer:
5/6x- 1/5x =19
5/6x- 1/5x =19
?/30x=19
19/30x = 19
x = 19 / 19/30
x = 19 * 30/19
x = 30
The sum of the reciprocals of two consecutive even integers is 7/24. Find the two integers
The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Let the two consecutive even integers be 2x and 2x+2 then there sum of reciprocal will be 7/24 that is now solving for positive value of x by finding roots of quadratic equation :
[tex]\begin{aligned}\frac{1}{2x}+\frac{1}{2x+2}&=\frac{7}{24}\\\frac{1}{x}+\frac{1}{x+1}&=\frac{7}{12}\\\frac{2x+1}{x^2+x}&=\frac{7}{12}\\24x+12&=7x^2+7x\\7x^2-17x+12x&=0\\x&=3, \frac{-4}{7} \end{aligned}[/tex]
Consider only positive value of x that is 3
Therefore, The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.
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A tower casts a shadow 12 m long while a nearby building casts a shadow 8 m long. if the building is 16 m high, how high is the tower?
If a tower casts a shadow 12 m long while a nearby building casts a shadow 8 m long and the building is 16 m high, then the height of the tower is equal to 24 m.
The height of the tower can be determined by using proportionality.
In this problem, the shadows of the building and the tower are proportional to the heights of the building and the tower.
Hence, the equation can be written as:
shadow of the tower ÷ shadow of the building = height of the tower ÷ height of the building
12 / 8 = h / 16
Here h is equal to the height of the tower
1.5 = h / 16
h = 1.5 x 16
h = 24
Hence, the height of the tower is calculated to be 24 meters.
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The equation y = 4.2x could represent a variety of different situations.
Write a description of a situation represented by this equation. Decide what quantities x and y represent in your situation and let us know what
they are
Answer and explanation:
The equation y=4.2x can be represented by a situation such as the total price of a number of goods
For example, if the total price of chocolate candies purchased from a store is given by the equation
y=4.2x
Such that the price per chocolate candy is $4.2 and x number of chocolate candies are bought, total price of chocolate candies bought is y
If 6 chocolate candies are bought, total price y using the equation would be
y=4.2 *6= $25.2
Ashley buys a television for 20% off the list price of p dollars. If the sales tax is 7%, how much does Ashley pay for the
television, including sales tax?
0 8p dollars
0.824p dollars
0.856p dollars
0.864p dollars
Answer:
0.856p dollars
Step-by-step explanation:
Original price of TV: p
Discount: 20% of p
Discounted price: p - 20% of p = p - 0.2p = 0.8p
7% sales tax on the discounted price of 0.8p: 0.07 * 0.8p = 0.056p
Add the 7% tax to the discounted price: 0.8p + 0.056p = 0.856p
Answer: 0.856p dollars
Solve for x, (2x+6) + (2x-6)
Answer:
4x
Step-by-step explanation:
2x+6+2x−6
=2x+6+2x+−6
Combine Like Terms:
=2x+6+2x+−6
=(2x+2x)+(6+−6)
=4x
Find the length of x
Answer:
x=5.6
Step-by-step explanation:
The equation is
2/1.6=7/x
1.25=7/x
1.25x=7
x=7/1.25
x=5.6
Answer:
x = 56 (Verified Answer) ✅Step-by-step explanation:
We will use a proportion to solve this. All we need are two corresponding values. One is x and 7, we'll pick the other as 32 and 4.
Now, we'll set up the proportion
[tex]\frac{x}{7} = \frac{32}{4}[/tex]
To solve a proportion, we cross multiply the means and extremes.
4x = 32 x 7
4x = 224
x = 56
We can check the proportion by substituting our answer in for x and seeing if the products equal. If they do, we know we have the correct answer.
4(56) = 32 x 7
224 = 224 ✅
Need help ASAP!!!!!!!!!
Answer:
y = 17
Step-by-step explanation:
2y + 2 = 3(y - 5)
2y + 2 = 3y - 15
-y = -17
y = 17
Help please please you guys are smarter
Step-by-step explanation:
Radical already isolated
√163 = x
Raise both sides to the second power
(√163)2 = (x)2
After squaring
163 = x2 Rearranged equation
x2 -163 = 0
This equation has two real roots:
x1 = ( 0 + sqrt(652) ) / 2 = 12.7671
x2 = ( 0 - sqrt(652) ) / 2 = -12.7671 Original equation
√163 = x
Plug in 12.7671 for x
√163 = (12.7671)
Simplify
√163 = 12.767
Solution checks !!
Solution is:
x = 12.7671 Original equation
√163 = x
Plug in -12.7671 for x
√163 = (-12.7671)
Simplify
√163 = -12.767
Solution does not check
12.767 ≠ -12.767
1 16) Line x is parallel to line y. What is the measure of angle 6? HELP PLEEEEEASE
Answer:
[tex]\angle 6 = 93[/tex]
Step-by-step explanation:
[tex]\angle 5 = 87[/tex] by properties of parallel lines
[tex]\angle 5 + \angle 6 = 180[/tex] because they form a straight angle
[tex]87 + \angle 6 = 180\\\\\angle 6 = 180-87\\\\\angle 6 = 180 - 80 - 7\\\\\angle 6 = 100 - 7\\\\\angle 6 = 93 \longleftarrow[/tex]
HELP ME PLEASE!!!!!!
Mr. Velazco made snacks in separate gift bags. He gave one each to the 642 sixth grade students going on the field trip. Then he gave 50 bags to the students in Mrs. Brake's class for decorating the trophy cases. Next he gave 22 to the students in Mrs. Crow's class for helping during the school play. Mr. Velazco had 5 snacks left. How many snacks did he make?
Answer:
719
Step-by-step explanation:
addition yes
Answer:719 bags
Step-by-step explanation:
Add:642+50+22=714
Then add 714+5=719
Find the measures of <1 and <2 if <3 = 78^0 and <4 = 102^0.
Assume the lines are parallel.
Figure is not drawn to scale.
Angle 78 102 12
<1
<2
Answer:
my acc just got yeeted by a penguin pfp
Step-by-step explanation:
Answer:
oops look in commments
Step-by-step explanation:
i will love you forever if you help me I am failing and this is like my only hope and i have no clue how to do this so thank you sm you smart person
Answer:
Step-by-step explanation:
product of (2.5 x 10²) x (10⁵)=2.5 x 10⁷
when we multiply the powers we add the 2+5=7
Answer:
9.25×10^7
Step-by-step explanation:
2.5 × 3.7 =9.25 and 10^2+10^5=10^7
Determine the sum of the exterior angles in a convex 50-gon. (G.10)(1 point)
Answer:
The sum of the exterior angles in a convex 50-gon polygon is 360° ⇒ A
Step-by-step explanation:
The formula of the sum of the interior angles of any polygon is ∑ = (n - 2) × 180°, where, n is the number of the sides or the angles of the polygonThe sum of the measures of the interior angle and the exterior angle at a vertex of the polygon is 180°The sum of the exterior angles of any polygon (n-gon) is 360°In the question
∵ The polygon has 50 sides
→ By using the 3rd rule above
∵ The sum of the exterior angles of any polygon (n-gon) is 360°
∴ The sum of the exterior angles in a convex 50-gon polygon is 360°
Write 2 3/4 as an improper fraction
Answer:
11/4
Step-by-step explanation:
4/4 is 1 whole.
We have 2 whole.
So, right now we have: 8/4
We can't forget about the 3/4!
8/4+3/4=11/4
This means your total is 11/4
Hope this helps you out!
-AxekickNebulite
The value of an improper fraction of a mixed number [tex]2 \dfrac{3}{4}[/tex] would be [tex]\dfrac{11}{4}[/tex].
Used the concept of the fraction that states that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that the mixed number [tex]2 \dfrac{3}{4}[/tex].
Now, change the mixed number [tex]2 \dfrac{3}{4}[/tex] into an improper fraction as,
[tex]2 \dfrac{3}{4} = \dfrac{(2\times 4 )+ 3}{4}[/tex]
[tex]= \dfrac{11}{4}[/tex]
Therefore, The value of an improper fraction would be [tex]\dfrac{11}{4}[/tex].
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Can we
multiply these two monomials? (4x^2)(-2b^3a)
Answer:
-8b^3ax^2
Step-by-step explanation:
Evaluate y=4x+2 and x = -6.
Please answer fast
Answer:
Step-by-step explanation:
y = 4x + 2 Substitute x = -6
y = 4(-6) + 2
y = -24 + 2
y = - 22
Can someone help me solve please I cannot figure out the awnser..
Answer:
Change on Day 1 = 29.80 °C
Change on Day 2= 30.60 °C
the most change occurred on Day 2
Step-by-step explanation:
Given a table of days and temperatures, you are asked for the changes each day, and you are asked which day changed the most.
ChangeIn general, the change in an amount is the difference between the final amount and the beginning amount. Here we have temperatures at the beginning of the day and the end of the day. We presume the change of interest is the difference between the temperature at the end of the day and that at the beginning.
Day 1 changeend of day temp - beginning temp = 18.74 -(-11.06) = 29.80 . . . °C
Day 2 changeend of day temp - beginning temp = 21.29 -(-9.31) = 30.60 . . . °C
Most changeThe day 2 change is larger than the day 1 change, so the most change occurred on day 2.
The design plans for a new concert hall shows elevations relative to the ground level at 0 feet. The elevation of the balcony is 37 feet and the elevation of the basement floor is -17 feet. Full in the blanks to write the distance of the balcony and basement from ground level
Answer:
54 feetStep-by-step explanation:
The distance from the balcony to the ground level = 37 - 0 = 37ft
The distance from the basement floor to the ground level = 0 - (-17) = 17 feet
the distance of the balcony and basement from ground level will be the sum of the distances gotten = 37 - (-17)
= 37 + 17
= 54 feet
Hence the distance of the balcony and basement from ground level is 54 feet
6.The perimeter of a rectangle whose length is 7.5cm and breadth 3.75cm
Answer:
formulla of perimeter of rectangle
Step-by-step explanation:
perimeter of rectangle=2(l+b)
= 2(7.5+3.25)
=2(11.25)= 22.5
Step-by-step explanation:
l = 7.5cm
b = 3.75cm
perimeter of rectangle = 2(l+b)
= 2(7.5+3.75)
= 2(11.25)
=22.5cm
a linear function contains the following points
what are the slope and y-intercept of this function?
A. the slope is 4
the y-intercept is (0,5)
B. the slope is -4
the y-intercept is (0,5)
C. the slope is -1/4
the y-intercept is (0,5)
D. the slope of 1/4
the y-intercept is (0,5)
Answer:
I believe the answer is C.
Step-by-step explanation:
Hope this helps you.
POSSIBLE POINTS 100
The class has just finished learning ways to prove that two triangles are congruent, using the Side, Side, Side Postulate. Kate and Amar are
talking about other information that you could use to prove two triangles are congruent and Kate draws this picture.
Kate thinks that knowing two sides and an angle of one triangle are congruent to two sides and an angle of a second triangle will ensure that
the triangles are congruent. Amar thinks that two triangles can have two sides and an angle congruent but still not be congruent.
In complete sentences, write who you think is correct and why
Can you draw any other pictures to support your claim?
Your answer will be graded using the rubric below
pole Make a conectors
Mathay
Formas tres properties
Answer:
Both are correct in certain situations.
Step-by-step explanation:
If the angle between the two given sides is provided, then the triangle is always congruent but if any other angle is provided, the triangle may or may not be congruent.
BD bisects ABC. ABC = 67º and ABD = (3x - 1)º. Find the value of 'x'.
To the citizens of the country of Merka, there is no meal
better than a hot dog nestled securely in a hot dog bun. Relish is optional, mustard is not. The hypothetical market for hot dogs in Merka is graphed. Suppose that the price of hot dog buns decreases. Illustrate the impact of this change on the
market by manipulating the appropriate curve or curves.
The equilibrium price it hot dogs:
a) decreases
b) increases
c) remains the same
The equilibrium quantity of hot dogs:
a) increases
b) decreases
c) remains the same
The supply curve shifts:
a) left
b) right
The demand curve shifts:
a) left
b) right
The equilibrium price of hot dogs A. increases.
The equilibrium quantity of hot dogs A. increases
The supply curve shifts right
The demand curve shifts right.
How to illustrate the information?It should be noted that the equilibrium price is the pice at which the quantity demanded and supplied is equal
In this case, the equilibrium price of hot dogs increases and the equilibrium quantity of hot dogs increases.
This will cause a positive affect on the supply and demand curve and they will shift I the right.
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Please help! will mark brainliest if correct!
Answer:
points
Step-by-step explanation:
Which angle is coterminal to 3pi/4
Answer:
_5x/4 radians is answer
what is the simple interest on an 8000 investment at 1.5 interest for 10 years
Paula has 8 fish pictures and 6 pictures to display He wants to arrange the picture then row with the same number of fish pictures and deer pictures in each row What are the possible numbers of rows parlor will need.
los números reales tienen un primer número?
Answer:
no, real numbers do not have first numbers.
Step-by-step explanation:
There are also more complicated number systems than the real numbers, such as the complex numbers. Every real number is a complex number, but not every complex number is a real number. Similarly, 3/7 is a rational number but not an integer.