Determine the value of the variable in the simplified expressions
What is the value of x in this simplified expression?
(-3)?
(-3)*
X
What is the value of y in this simplified expression?
1
K+m
-10
+
1
10
kym
y =
Answers
Answer:
x = 7
y = 5
Step-by-step explanation:
When the exponent is negative in the numerator, putting it into the denominator makes it positive.
When the exponent is negative in the denominator, putting it into the numerator makes it positive.
Related Questions
What is 25% of 60% on a fraction ?%
?% x ? =15
Answers
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 60}}{\left( \cfrac{25}{100} \right)60}\implies 15[/tex]
about Mark and his Pizzas
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{35\% of 12}}{\left( \cfrac{35}{100} \right)12}\implies 4.2~\hfill \underset{cheaper~price}{\stackrel{12~~ - ~~4.2}{7.80}}[/tex]
Which expressions are equivalent to 7^8 * 7? Select all that apply a: 7^3 * 7^3 b: 7^18 / 7^9 c: (7^3)^3 d: 7^4 + 7^5 e: 7^4 * 7^5
Answers
9514 1404 393
Answer:
b: 7^18 / 7^9
c: (7^3)^3
e: 7^4 * 7^5
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
__
The given expression is ...
[tex]7^8\cdot7=7^8\cdot7^1=7^{8+1}=7^9[/tex]
The offered alternatives are ...
[tex]\textbf{a: }7^3\cdot7^3=7^{3+3}=7^6\quad\textbf{not equivalent}\\\\\textbf{b: }\dfrac{7^{18}}{7^9}=7^{18-9}=7^9\quad\textbf{equivalent}\\\\\textbf{c: }(7^3)^3=7^{3\cdot3}=7^9\quad\textbf{equivalent}\\\\\textbf{d: }7^4+7^5=7^4(1+7)=8\cdot7^4\quad\textbf{not equivalent}\\\\\textbf{e: }7^4\cdot7^5=7^{4+5}=7^9\quad\textbf{equivalent}[/tex]
PLEASE HELP AND IF YOU DO I NEED THE WORK IM SO CONFUSED
Answers
Answer:
(a) ER = 29.5
(b) SR = 29.5
(c) DR = 18.6
Step-by-step explanation:
(a) PE=ER, ES is a perpendicular bisector of PR.
(b) Tryangle SER is an isosceles triangle, therefor SR is = to ER.
(c) QD = DR, DS is a perpendicular bisector of QR.
Bisectors cut and angle or line in half.
Perpandicular means makes a 90 degree angle.
What are the examples of union of events?
Answers
Step-by-step explanation:
That is, the event A ∪ B will occur if either A or B occurs. In Example 4.1(a), if A = {g} is the event that the child is a girl and B = {b} is the event that it is a boy, then A ∪ B = {g, b}.
Associative law: (E ∪ F)∪G = E ∪ (F ∪ G)
Distributive law: (E∪F)G=EG∪FG
Commutative law: E ∪ F = F ∪ E
system of inequalities is shown.
The graph shows a dashed upward opening parabola with a vertex at 1 comma negative 4, with shading inside the parabola. It also shows a dashed line passing through the points negative 1 comma 1 and 0 comma 4, with shading above the line.
Which system is represented in the graph?
y ≥ x2 – 2x – 3
y ≤ 3x + 4
y < x2 –2x – 3
y > 3x + 4
y < x2 – 2x – 3
y > 3x + 4
y > x2 – 2x – 3
y > 3x + 4
Answers
Answer:
y > x² – 2x – 3
y > 3x + 4
Step-by-step explanation:
took the test, this is the only answer choice that matches the image of the graph shown in the problem. hoped this helped.
Answer: c y < x2 – 2x – 3y > 3x + 4
Step-by-step explanation: it correct
Abby practiced her horn for 3/4 of an hour every day for 12 days?
a) How many hours did she practice in those 12 days?
b) How many minutes did she practiced in those 12 days?
Answers
The time practiced in the 12 days is an illustration of proportions
She practices a total of 9 hours in the 12 daysShe practices a total of 540 minutes in the 12 daysThe total number of hours practicedThe given parameters are:
Days = 12
Proportion = 3/4
So, the number of hours is:
Hours = Days * Proportion
This gives
Hours = 12 *3/4
Hours = 9
Hence, she practices a total of 9 hours in the 12 days
The total minutes practicedThere are 60 minutes in an hour.
So, we have:
Minutes = 9 * 60
Minutes = 540
Hence, she practices a total of 540 minutes in the 12 days
Read more about proportions at:
https://brainly.com/question/1781657
Determine the slope from the following order pairs:
(1,3) (0,1)
Answers
Answer:2/1
Step-by-step explanation:
Y1-y2/ x1-x2= 2/1
If you guys need help with Algebra I am happy to help you.
I’m grad to answer your next question.
Jeff bought 6 pounds of lunch meat. He puts 1/8 pound of meat on each sub sandwich.How many sandwiches can he make?
Answers
Answer:
Jeff can make 48 sandwiches.
Step-by-step explanation:
[tex]6[/tex] ÷ [tex]\frac{1}{8}[/tex]
KCF
6 ÷ [tex]\frac{8}{1}[/tex] = 48
Quadrilateral DEFG is dilated by a factor of 0.5 with the center (0,0) what are the new coordinates of point D?
Answers
Answer:
-3,-2
Step-by--step explanation:
The width of a rectangle is (4x + 3) in. The length of the rectangle is twice the width. Find the area of the rectangle in terms of the variable x.
Answers
Step-by-step explanation:
Width = 4x + 3
Length = 2(4x + 3) = 8x + 6
Area = Width x Length
Area = (4x + 3)(8x + 6)
Area = 32x² + 24x + 24x + 18
Area = 32x² + 48x + 18
A carpet cleaner charges $59 for a service call and $30 for each room cleaned. A customer does not want to spend more than $125 for having the carpets in his house cleaned. Choose the correct inequality for the situation and the total number of rooms the customer can afford to have cleaned.
Answers
Answer:
[tex]59 + 30c \leq 125[/tex]
2 rooms
Step-by-step explanation:
Given
[tex]Base\ Amount = \$59[/tex]
[tex]Additional = \$30[/tex] per carpet
[tex]Customer\ Budget = \$125[/tex]
Required
Write an inequality to determine the situation
Represent the number of carpets with c
First, we need to determine an expression for the cleaner's charges:
This is:
[tex]59 + 30 * c[/tex]
[tex]59 + 30c[/tex]
Since the customer's budget do not exceed $125.
This implies that the cleaner's charges must be less than or equal to the budget.
So, we have:
[tex]59 + 30c \leq 125[/tex]
Solving further: [Collect Like Terms]
[tex]30c \leq 125 - 59\\[/tex]
[tex]30c \leq 66[/tex]
Divide through by 30
[tex]c \leq 66/30[/tex]
[tex]c \leq 2.2[/tex]
Since number of rooms can't be fraction;
The maximum number of rooms the customer can afford is 2
Answer:
No sé exactamente de qué se trata el ejercicio, hay muchas respuestas posibles
Step-by-step explanation:
Find the measure of each angle indicated 40 ° 85° ?
Answers
Answer: 55 degrees
Step-by-step explanation:
Angle sum of a triangle = 180 degrees
40+85= 125
180-125= 55
20% of a university's 4,000 students have a scholarship
a. What percentage of the students do not have a scholarship?
b. How many students have a scholarship?
c. How many students don't have a scholarship?
Answers
a. What percentage of the students do not have a scholarship?
80% don't have a scholarship
b. How many students have a scholarship?
800 students
c. How many students don't have a scholarship?
3200 students dont have a schscholarship
Are there any outliers in the data? What does the outlier mean?
Answers
Answer:
44, definition below
Step-by-step explanation:
An outlier is a number that is much larger or smaller than the general populous of numbers. For example, if there was a dot plot with dots clustered at 2, 3, and 5, but there was one or two dots around 10, then 10 would be considered an outlier.I would consider 44 to be an outlier in the number set.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Answer: I think it's 44
Step-by-step explanation: Outlier means the one that stands out from the rest. As you can see most of the numbers are in between 50 and 90 but 44 is not so it is 44.
Hope it helped :D
Erik used 16 centimeters of tape to wrap 2 presents. Then, he used an additional 24 centimeters of tape to wrap another 3 presents. How many centimeters of tape does Erik use to wrap each present?
Answers
Answer:
Erik uses 8 centimeters of tape to wrap each present.
Step-by-step explanation:
16 centimeters can wrap 2 presents.
24 centimeters can wrap 3 presents.
Add both amounts of tape together to find the total amount of tape used. Then add the number of presents wrapped together.
16 + 24 = 40 centimeters
2 + 3 = 5 presents
40/5
In order to find how much tape wraps one present, divide both the top and bottom by the denominator (5)
40/5 = 8 centimeters
5/5 = 1 present
Erik uses 8 centimeters of tape to wrap each present.
r = sec(θ) − 2cos(θ), where -π/2 < θ < π/2
Convert this equation to rectangular coordinates.
Answers
Answer:
y = (x/(1-x))√(1-x²)
Step-by-step explanation:
The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:
x = r·cos(θ)
y = r·sin(θ)
x² +y² = r²
__
r = sec(θ) -2cos(θ)
r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)
r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²
(x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations
x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor
y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)
[tex]\boxed{y=\dfrac{x\sqrt{1-x^2}}{1-x}}[/tex]
__
The attached graph shows the equivalence of the polar and rectangular forms.
If AABC = ADEC,
ZB = 50° and ZE = 5x
A
B
С
E
U
x= [?]
tar
Answers
Answer:
x = 10
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
∠ E = ∠ B , that is
5x = 50 ( divide both sides by 5 )
x = 10
Juan writes the expression below to determine the total cost of 1 sandwich and n side dishes. 10 . 50 + 1 . 50 ( n − 1 ) Juan orders a sandwich and the same number of side dishes each of the five days this week. All together, Juan pays $75 for these 5 lunches. Write an equation that can be used to find the number of side dishes Juan orders for lunch this week.
Answers
Answer:
She has n= 4 side dishes.
Total side dishes ordered = 5n = 20
Step-by-step explanation:
The total cost is given by
TC= 10 . 50 + 1 . 50 ( n − 1 )
She orders same 5 lunches for $ 75
$ 75= 5{ 10 . 50 + 1 . 50 ( n − 1 ) }
Or
Cost of 1 lunch would be $ 15
$ 75/5 = { 10 . 50 + 1 . 50 ( n − 1 ) }
or
$ 15 = 10 . 50 + 1 . 50 ( n − 1 )
$ 15-$ 10 . 50 = 1 . 50 ( n − 1 )
$ 4.5/ 1.5= n-1
$ 3= n-1
3+1= n
n= 4
She has n= 4 side dishes.
Total side dishes ordered = 5n = 20
She spent
$ 1.50 ( 4-1) = $ 4.5 each day or $22.5 on side dishes for 5 days.
0/1 Roy is going to increase the size of his patio to make room for a new BBQ grill. The ratio of the area of the old patio to the area of the new patio is 2 2 \frac{1}{4} 4 1 : 6 6 \frac{3}{4} 4 3 . Convert this ratio to a unit rate
Answers
Given:
Ratio is [tex]2\dfrac{1}{4}:6\dfrac{3}{4}[/tex]
To find:
Convert this ratio to a unit rate.
Solution:
We have,
[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{2\times 4+1}{4}:\dfrac{6\times 4+3}{4}[/tex]
[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{8+1}{4}:\dfrac{24+3}{4}[/tex]
[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{9}{4}:\dfrac{27}{4}[/tex]
[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{\dfrac{9}{4}}{\dfrac{27}{4}}[/tex]
[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{9}{27}[/tex]
[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{1}{3}[/tex]
[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=0.333...[/tex]
[tex]2\dfrac{1}{4}:6\dfrac{3}{4}\approx 0.33[/tex]
Therefore, the unit rate is about 0.33.
ANSWER FAST PLS!
Question 5
What is the equation of the line?
У.
y= 2x4
y = 2x + 2
-1
y=-x - 4
y = x + 2
Answers
☆▪︎y=-x-4▪︎☆
☆▪︎mark me brainlist ▪︎☆
We need right now pleaseee
Answers
Answer:
x=49/3
Step-by-step explanation:
move all terms that don't contain x to the right side and solve the problem.
Answer:
Step-by-step explanation:
7. 3x + 6 = 55
- 6 - 6
3x = 49
/3 /3
x = 49/3 OR x = 16.33
8. 50 = 6x + 2
- 2 - 2
48 = 6x
/6 /6
8 = x
Check/verify your answer:
50 = 6x + 2
50 = 6(8) + 2
50 = 48 + 2
50 = 50
This statement is correct.
Hope this helps!
How do I solve this I am confused? (-2x-1)-(x-7)=
Answers
Answer:
1x-8
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below . Solve for x
Answers
Answer: x = 23
Step-by-step explanation:
The sum of interior angles in a triangles is equal to 180°, therefore:
(2x - 1) + 110 + 25 = 180
1. Get rid of parentheses.
2x - 1 + 110 + 25 = 180
2. Add the number up in the left side.
2x + 134 = 180
3. Subtract 134 from both sides.
2x = 46
4. Divide by 2 from both sides.
x = 23
What is the equation of the line in slope intercept form from the graph.
Answers
Answer:
y=4/3x-2
Step-by-step explanation:
We know the base equation is mx+b and the y-intercept is at -2 so we can determine that as the b value. The m value is 4/3 because if you look at where the line meets the next point is over 3 and up 4 indicating that the m value is 4/3. Hope this helps!
The equation of the line is y = 4/3x -2.
The y-intercept is -2 because the line crosses the y-axis at (0,-2).
The slope is 4/3x because the rise over run of the line is 4/3.
7.) Given f(x) = 6(x - 1). what is the value of f(-8)? * A) 42 B) -42 C) 54 D) -54
Answers
Answer:
D) -54
Step-by-step explanation:
To solve this question, simply plug in -8 for x:
f(-8)=6(-8-1)
f(-8)=6(-9)
f(-8)=-54
Hope this helps!!
hey, what's the ans
4(m-15)=7m+9
Answers
Step-by-step explanation:
[tex]4(m - 15) = 7m + 9[/tex]
[tex]4m - 60 = 7m + 9[/tex]
[tex] - 60 - 9 = 7m - 4m[/tex]
[tex] - 69 = 3m[/tex]
[tex]m = \frac{ - 69}{3} [/tex]
[tex]m = - 23[/tex]
Hello!
4(m-15)=7m+9
4m -60 =7m +9
-60 -9 = 7m -4m
-69 = 3m
3m = -69
m = -69/3
m = -23
10. The longest fish Dave caught was 2 ft. 7in. long. His brother caught a fish which was 33 inches long. Who caught the longest fish?
Answers
Answer:
his brother
Step-by-step explanation:
because 2 foot 7 inches in inches is 31 inches so therefore his brother has the longer fish.
1 foot = 12 inches.
2 feet x 12 = 24 inches + 7 = 31 inches.
Daves fish was 31 inches.
his brothers fish was bigger.
I have tried this question for several times but i cant
help me please
Answers
Answer:
a) Rs. 2425.55, Rs. 2626.36 (2 d.p.)
b) Rs. 1320
Step-by-step explanation:
Please see the attached pictures for the full solution.
Answer:
hey please follow back me I follow you and I am good in Science and Maths
8 4/5 - 5 1/10?
PLEASE ANSWER QUICK!! D:
Answers
Answer:
3 7/10
Step-by-step explanation:
Hope this helps and good luck!
Answer: [tex]3\frac{7}{10}[/tex] or [tex]\frac{37}{10}[/tex]
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Follow these steps I made for you.
Step 1: Convert [tex]8\frac{4}{5}[/tex] to an improper fraction. Use this rule: [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex].
[tex]\frac{8 * 5 + 4}{5} - 5\frac{1}{10}[/tex]
Step 2: Simplify 8 × 5 to 40.
[tex]\frac{40 + 4}{5} - 5\frac{1}{10}[/tex]
Step 3: Simplify 40 + 4 to 44.
[tex]\frac{44}{5} - 5\frac{1}{10}[/tex]
Step 4: Convert [tex]5\frac{1}{10}[/tex] to an improper fraction. Use this rule [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex].
[tex]\frac{44}{5} - \frac{50 * 10 + 1}{10}[/tex]
Step 5: Simplify 5 × 10 to 50.
[tex]\frac{44}{5} - \frac{50 + 1}{10}[/tex]
Step 6: Simplify 50 + 1 to 51.
[tex]\frac{44}{5} - \frac{51}{10}[/tex]
Step 7: Find the Least Common Denominator (LCD) of [tex]\frac{44}{5}, \frac{51}{10}[/tex]. In other words, find the Least Common Multiple (LCM) of 5, 10.
LCD = 10
Step 8: Make the denominators the same as the LCD.
[tex]\frac{44 * 2}{5 * 2} - \frac{51}{10}[/tex]
Step 9: Simplify. Denominators are now the same.
[tex]\frac{88}{10} - \frac{51}{10}[/tex]
Step 10: Join the denominators.
[tex]\frac{88- 51}{10}[/tex]
Step 11: Simplify.
[tex]\frac{37}{10}[/tex]
Step 12: Convert to a mixed fraction.
[tex]3\frac{7}{10}[/tex]
~I hope I helped you! :)~
Isabelle plans to line her flower garden with a decorative border. Her flower bed is 60 inches by 78 inches. The border is sold in bundles of 40 ft. How much border will be leftover once Isabelle lines her garden?
Answers
Step-by-step explanation:
I guess, the flower bed is a true rectangle, right ?
so, then, the perimeter of that rectangle is
2×length + 2×width = 2×78 + 2×60 = 156 + 120 = 276 in.
1 ft = 12 in
276 in = 23 ft
she can only buy a bundle of 40 ft.
that means she will have
40 - 23 = 17 ft left.