Answer: 4x + y = -4
Step-by-step explanation:
The standard form of a linear equation is Ax + By = C.
y = -4x - 4
Add 4x on both sides
4x + y = -4
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?
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.
Jeff bought 6 pounds of lunch meat. He puts 1/8 pound of meat on each sub sandwich.How many sandwiches can he make?
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
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?
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
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.
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:
r = sec(θ) − 2cos(θ), where -π/2 < θ < π/2
Convert this equation to rectangular coordinates.
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.
The Square Root Property is used in solving incomplete quadratic equations where b is equal to _______.
A. Zero B. One C. Two D. Three
Answer: A. Zero
Step-by-step explanation: If the quadratic equation is incomplete, b will always equal 0.
The Square Root Property is used in solving incomplete quadratic equations where b is equal to zero. Then the correct option is A.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
If the value of the a is zero, then the equation will be linear, So the value of the variable a can not be zero.
But the value of the b and c can be zero for a quadratic equation, but the number of the terms will be missing, so the quadratic equation is incomplete.
The Square Root Property is used in solving incomplete quadratic equations where b is equal to zero. Then the correct option is A.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
#SPJ2
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
☆▪︎y=-x-4▪︎☆
☆▪︎mark me brainlist ▪︎☆
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?
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
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
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
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.
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
We need right now pleaseee
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!
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
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.
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
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]
Determine the slope from the following order pairs:
(1,3) (0,1)
Answer:2/1
Step-by-step explanation:
Y1-y2/ x1-x2= 2/1
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?
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.
What is the equation of the line in slope intercept form from the graph.
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.
If AABC = ADEC,
ZB = 50° and ZE = 5x
A
B
С
E
U
x= [?]
tar
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
I have tried this question for several times but i cant
help me please
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
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.
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.
7.) Given f(x) = 6(x - 1). what is the value of f(-8)? * A) 42 B) -42 C) 54 D) -54
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!!
The measures of the angles of a triangle are shown in the figure below . Solve for x
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
Quadrilateral DEFG is dilated by a factor of 0.5 with the center (0,0) what are the new coordinates of point D?
Answer:
-3,-2
Step-by--step explanation:
PLEASE HELP AND IF YOU DO I NEED THE WORK IM SO CONFUSED
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.
Find the measure of each angle indicated 40 ° 85° ?
Answer: 55 degrees
Step-by-step explanation:
Angle sum of a triangle = 180 degrees
40+85= 125
180-125= 55
How do I solve this I am confused? (-2x-1)-(x-7)=
Answer:
1x-8
Step-by-step explanation:
hey, what's the ans
4(m-15)=7m+9
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
8 4/5 - 5 1/10?
PLEASE ANSWER QUICK!! D:
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! :)~
What is 25% of 60% on a fraction ?%
?% x ? =15
[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]
Are there any outliers in the data? What does the outlier mean?
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
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?
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.