[tex]Use\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}}=x^{\frac{3}{2}-\frac{1}{2}}=x^{\frac{3-1}{2}}=x^{\frac{2}{2}}=x^1=x\\\\Answer:\ \boxed{x}[/tex]
Marc wants to buy a set of 6 antique chairs for his dining room. He has decided to spend no more than $360. How much can he spend per chair?
Answer:
He can spend a maximum of $60 per chair.
Step-by-step explanation:
360 / 6 = $60 per chair
please view my question down below
[tex]\frac{422}{8}=52.75mph[/tex]
A.
[tex]average=\dfrac{distance}{time}\\\\\text{We have}\\\\distance=422\ miles\\\\time=8\ hours.\\\\\text{Substitute:}\\\\\boxed{x=\dfrac{422\ miles}{8\ hours}=52.75\ mph}[/tex]
what is the measure of A, in degrees?
Answer:
B
Step-by-step explanation:
Since AB = AC = 8 then the triangle is isosceles and
∠C = ∠B = 30° ( base angles of an isosceles triangle )
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the base angles from 180, hence
∠A = 180° - (30 + 30)° = 180° - 60° = 120° → B
30 POINTS ANSWER RIGHT NOW PLEASE
Which of the diagrams represent the following equation?
xy = 20
A graph with two curved sections, one confined to quadrant 2 approaching both axes and one confined to quadrant 3 approaching both axes.
A line going through the points (0, 0) and (20, 1).
A graph with two curved sections, one confined to quadrant 1 approaching both axes and one confined to quadrant 4 approaching both axes.
A graph with two curved sections, one confined to quadrant 1 approaching both axes and one confined to quadrant 3 approaching both axes.
Answer:
Step-by-step explanation:
x=20 or y=20/x
Solve for v.
.
Simplify your answer as much as possible.
Answer:
v = 9
Step-by-step explanation:
Use the method of cross- multiplying
[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc
8v = 12 × 6
8v = 72 ( divide both sides by 8 )
v = 9
Answer:
[tex]v=9[/tex]
Step-by-step explanation:
The given equation is
[tex]\frac{v}{12}=\frac{6}{8}[/tex].
We multiply both sides of the equation by 12 to obtain,
[tex]12\times \frac{v}{12}=\frac{6}{8}\times 12[/tex].
This implies that;
[tex]v=\frac{3}{4} \times 12[/tex]
This gives
[tex]v=\frac{3}{1} \times 3[/tex]
[tex]v=3\times 3[/tex]
[tex]v=9[/tex]
In addition to an $80 bonus Joan earned eight dollars per hour working last week Joans total earnings last week or $240 how many total hours did she work last week
Answer:
20 hours
hope it helps
Step-by-step explanation:
total earnings was $240 but to find how much he made working you first have to deduct the $80 bonus
240 - 80 = 160
so he made $160 working now to find out how many hours worked you have to divide by 8 because he got paid $8.00 an hour
160 ÷ 8 = 20
Answer:
20hrs
Step-by-step explanation:
We need to find out how many hours she worked last week.
The bonus added $80 to the money she got from her hours worked so lets take that away:
240-80=160
Since she gets $8/hr we should divide 160 by 8
160÷8=20
Evaluate the numerical expression.
9.6 - 10.8 ÷ 0.6
A) -0.2
B) -2
C) -8.4
D) 7.8
Answer:
C) -8.4
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Divide <
10.8 / 0.6
= 18
Subtract <
9.6 - 18
= -8.4
- I.A -
Answer:
its C) -8.4
Hope this helps! :)
I need help!!!!
Can someone help me
Answer:
D
Step-by-step explanation:
note that the values in the domain map to the values in the domain as
- 1 → 2 ( that is 1 + 3 = 2 )
3 → 6 ( that is 3 + 3 = 6 )
5 → 8 ( that is 5 + 3 = 8 )
In each case 3 is added to the value in the domain(x) to obtain the value in the range ( y = f(x) )
Hence f(x) = x + 3 → D
Rob spent 25\%25% more time on his research project than he had planned. He spent an extra hh hours on the project.
Which of the following expressions could represent the number of hours Rob actually spent on the project?
Answer: 5h represents the number of hours Rob actually spent on the project.
Step-by-step explanation:
Let Rob planned that he will spend x hours in his project.
According to the question,
He spent 25% more time on his project than he planned.
That is, his actual time = x + 25% of x = 125% of x
Again according to the question,
He spent an extra h hours on his project.
That is, 25% of x = h
[tex]\frac{25\times x}{100} = h[/tex]
[tex]x=\frac{100h}{25}[/tex]
x = 4h
Thus, his actual time = 125% of x = 125% of 4h = [tex]\frac{125\times 4h}{100}[/tex] = 5h
Which is the required expression.
Answer:
5h and (h/0.25)1.25
Step-by-step explanation:
This means he planned to spend \dfrac{\maroonD{h}}{\greenD{25\%}}\cdot100\%
25%
h
⋅100%start fraction, start color maroonD, h, end color maroonD, divided by, start color greenD, 25, percent, end color greenD, end fraction, dot, 100, percent hours on the research project.
Hint #33 / 6
Because 25\%25%25, percent means 252525 per hundred, we can write it in equivalent forms.
\begin{aligned} 25\%&=\dfrac{25}{100}\\\\ &=0.25 \end{aligned}
25%
=
100
25
=0.25
A regular dodecagon has 12 sides. What is the smallest angle of rotation about its center that carries a dodecagon onto itself?
Answer:
30°
Step-by-step explanation:
No. of sides in dodecagon = 12
No. of angles = 12
Since its regular, all sides and all angles are equal.
total rotational angle = 360°
since no. of angles = 12
and all angles are equal,
rotational angle at which, it will co - incide with itself = [tex]\frac{360}{12}[/tex]
= 30°
A regular dodecagon will be onto itself it is rotated about the central angle 30°.
Answer: 30°
Step-by-step explanation:
Combine the like terms to create an equivalent expression. 3n+7−2
Answer:
3n+5
Step-by-step explanation:
70% of a number is what fraction
It's going to be 7/10
what numbers do I use for 45678910 please help
Answer:
4) 80 5) 96 6) 50 7) 28 8) 17 9) 14 10) 58
Step-by-step explanation:
4) 41+39 5) 28+32+46 6) 13+37 7) 45-17 8) 39-22 9) 31-17 10) 18+40
Drag and drop the correct answer into each box to complete the proof. parallelogram K L M N where K N is parallel to L M and K L is parallel to M N Given: Parallelogram KLMN Prove: ∠N≅∠L and ∠M≅∠K
Answer:
Opposite angles of a parallelogram are congruent.
Step-by-step explanation:
Given:
KLMN is a parallelogram.
KN ║ LM and KL ║MN.
To prove:
∠N ≅ ∠L
∠M ≅ ∠K
Proof:
∠N ≅ ∠L since the opposite angles of a parallelogram are congruent.
∠M ≅ ∠K since the opposite angles of a parallelogram are congruent.
Answer: Parallelogram KLMN Given
KL¯¯¯¯¯∥NM¯¯¯¯¯¯¯ and Kn---------llLM Definition of parallelogram
m∠K+m∠N=180°
m∠L+m∠M=180°
m∠K+m∠L=180° Same-Side Interior Angles Theorem
m∠K+m∠N=m∠K+m∠L
m∠L+m∠M=m∠K+m∠L Substitution Property of Equality
m∠N=m∠L
m∠M=m∠K Subtraction Property of Equality
∠N≅∠L
and ∠M≅∠K
Angle Congruence Postulate
Step-by-step explanation:
I took the test and got a 100
help plz i dont understand this I'm going crazy
Answer:
<
Step-by-step explanation:
2*18-18=18
2*[28-3*(2+4)] = 20
18<20
Answer:
symbol is <
Step-by-step explanation:
evaluate the left and right sides for comparison
left = (2 × 18 ) - 18 = 36 - 18 = 18
right = 2[28 - (3 × 6) ] = 2[28 - 18] = 2 × 10 = 20
18 < 20
hence replace ? with <
There are 90 students in Grade 5, and 10% of them were absent today.In Grade 6, 15% of the 80 students were absent today.What was the total number of students in the two grades who were present today?
Answer:
21 students
Step-by-step explanation:
90 x .10 = 9
80 x .15 = 12
9 + 12 = 21 students
f(x) = 4x4 − 8x3 − 3x2 + 7x − 2 = (x + 1)(4x3 − 12x2 + 9x − 2) Based on the sythetic division shown, 1 2 is of the polynomial.
Answer:
-1, 2, 0.5, 0.5
Step-by-step explanation:
[tex]4x^4 - 8x^3 - 3x^2 + 7x - 2[/tex]
Using synthetic division for x=-1 we find that
-1 4 -8 -3 7 -2
-4 12 -9 2
-----------------------------------------------
4 -12 9 -2 0
----------------------------------------------
Thus quotient is [tex]4x^3 - 12x2 + 9x - 2[/tex]
Again try synthetic division by x-2
2 4 -12 9 -2
8 -8 2
-----------------------------------
4 -4 1 0
--------------------------------------
Thus quotient is [tex]4x^2-4x+1\\=(2x-1)^2[/tex]
Hence zeroes of the polynomial f(x) are
-1, 2, 0.5, 0.5
Answer:
Second half of the question: Based on the synthetic division shown, 1/2 is DEFINITELY A ROOT of the polynomial.
Step-by-step explanation:
25 points to 50 points. is that increase or decrease
Answer:
increasegoing from smaller to larger or less to greater
4. FLOWERS Bethany placed a bouquet of roses in a vase full of water. Each day she recorded how much water had evaporated from the vase before refilling it. The results are shown in the table below. Over the course of five days how much water had evaporated? Use mental math to find your answer.
Answer:
A x 5
Step-by-step explanation:
Answer:
take all evaporation numbers and add them together to get the answer u r looking for
Step-by-step explanation:
If y = 2x − 8, what is the value of x when y = 0?
Find the value of y. Please help
if the ∡E = ∡F = 90°, that means for that quadrilateral of BEGF, the other angles are ∡B = ∡G = 90°, which means is a square, meaning all its sides are equal, therefore
[tex]\bf y + 5 = 3y\implies 5=2y\implies \cfrac{5}{2}=y\implies 2\frac{1}{2}=y[/tex]
which ratio forms a proportion with 18/27
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The given ratio is [tex]\frac{18}{27}[/tex]
9 is the common factor of 18 and 27
divide numerator and denominator by 9
[tex]\frac{18/9}{27/9} =\frac{2}{3}[/tex]
hence [tex]\frac{2}{3}[/tex] is proportion with [tex]\frac{18}{27}[/tex]
if line XZ is 2ft, line YZ=18in. what is the length of line XY
Answer:
XY = 6 in
Step-by-step explanation:
XZ = 2ft = 24 in.
XY + YZ = 24 in.
XY + 18 in. = 24 in.
XY = 24 - 18 = 6 in
The area of a rectangular dog pen is 8/1/2 square feet. If the width is 3/2/5 feet what is the length in feet
Answer:
l = 2 1/2 ft
Step-by-step explanation:
The formula for A is l*w for a rectangular length
A= lw
Putting in what we know
8 1/2 = l * 3 2/5
I will change mixed numbers to improper fractions
8 1/2 = (2*8+1)/2 = 17/2
3 2/5 = (5*3+2)/5 = 17/5
17/2 = l*17/5
Multiply both sides by 5/17 to isolate l
5/17* 17/2 = l* 17/5 * 5/17
5/2 = l
Changing this back to a mixed number
2 1/2 = l
A building is casting a 140 foot shadow at the same time a nearby post is casting a 10 ft shadow. If the post is 18 feet tall how tall is the building
Answer: 252 feet tall
Step-by-step explanation:
1) make a proportion
x/18=140/10
2)solve
10x=140*18
x=140*18/10
x=14*18
x=252
3) Answer
The building is 252 feet tall
PLS HELP!!!!!! NOW PLS!!!!
Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the length than the width?
A. 1 Unit
B. 2 Units
C. 3 Units
D. 4 Units
Answer:
The right answer is 1 unit or A
Step-by-step explanation:
On a coordinate graph the point in which the x-axis and the y-axis cross is called the
The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction?
A. 7
B.14
C.42
D.126
Answer:
B. 14
Step-by-step explanation:
The sum of infinite geometric series is given by
[tex]\frac{a}{1-r}[/tex]
0.126126126... = [tex]\frac{126}{1000}+\frac{126}{1000000}+\frac{126}{1000000000}[/tex]
Here a =126/1000, r= 1/1000
0.126126126... = [tex]\frac{126/1000}{1-1/1000}[/tex] =126/999 = 14/111
∴ 0.126126126... = 14/111
So, the numerator of the reduced fraction is 14.
Answer:
B. 14
Step-by-step explanation:
Answer fast!!!!!!!!!!!
an aquarium tank is 3 feet long, 1 foot wide, and 2 feet high. how many gallons of water would it take to fill the tank two-thirds full?
Answer: the answer is 6ft
Step-by-step explanation:
3 times 1 times 2 = 6ft
Number of gallons of water would it take to fill the tank two-thirds full is,
⇒ 30 gallons
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
An aquarium tank is 3 feet long, 1 foot wide, and 2 feet high.
Hence, Volume of tank is,
⇒ V = 3 x 1 x 2
⇒ V = 6 feet³
Hence, Number of gallons of water would it take to fill the tank two-thirds full is,
⇒ 2/3 of 6
⇒ 4 feet³
⇒ 4 × 7.5
⇒ 30 gallons
Thus, Number of gallons of water would it take to fill the tank two-thirds full is,
⇒ 30 gallons
Learn more about the multiplication visit:
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