Answer:
$12500
Step-by-step explanation:
Given that:
Salary plan 1:
Weekly salary of $500.
And a commission of 4%.
Salary plan 2:
Straight commission of 8%.
To find:
Weekly sales for which both the plans will make the same sales?
Solution:
Let the weekly sales = $[tex]x[/tex]
As per question statement:
Salary as per Plan 1 = $500 + 4% of [tex]x[/tex]
Salary as per Plan 2 = 8% of [tex]x[/tex]
Putting both the salaries to equal to find the total weekly sales.
$500 + 4% of [tex]x[/tex] = 8% of [tex]x[/tex]
[tex]\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500[/tex]
Therefore, the answer is:
For the sales of $12500, the salary will be same from both the plans.
factor completely 64^2 - 1
Answer:
4095
Step-by-step explanation:
find the slope
( 1,3) (4,9)
Answer:
2
Step-by-step explanation:
1. slope formula: [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]
2. [tex]\frac{9-3}{4-1}[/tex]
3. [tex]\frac{6}{3}[/tex]
4. 2
FIVE AND FOUR TENTHS AS A DECIMAL AND FRACTION
Answer:
Decimal: 5.4
Fraction: 27/5
Someone please help on question 9
I will give you Brainliest
Answer:
(B). 38 cm³
Step-by-step explanation:
V = a² [tex]\frac{h}{3}[/tex]
a = 4.5 cm
h² = (6.1)² - ( [tex]\frac{4.5}{2}[/tex] )² = 32.1475
h = √32.1475 ≈ 5.67
V = (4.5)²( [tex]\frac{\sqrt{32.1475} }{3}[/tex] ) ≈ 38.27 ≈ 38 cm³
Answer:
[tex]38 cm^3[/tex]
Step-by-step explanation:
Given the slant height and a base side length of a right square pyramid, we can use these numbers to solve for the volume.
The formula for the volume of a square pyramid is generally known as:
[tex]V = 1/3 a^2h[/tex], where the variable 'a' represents the base side length and 'h' represents the height.
Since we are given the slant height, we can use Pythagorean's Theorem to calculate the height (non-slanted) when given a base side length by using the equation below:
[tex]a^2+b^2=c^2[/tex]
This is a special case because this is a right square pyramid, meaning we can use C squared and substitute that for the given slant height, 6.1 cm. The leg of the right triangle, which is [tex]\frac{s}{2}[/tex], takes place of 'b' which is 4.5. Now, given all of this, we can plug in our known values. Height is what we are solving.
[tex]h^2+\left(\frac{4.5}{2}\right)^2=6.1^2[/tex]
Now we will simplify and solve everything, and we get h; or the height, which equals 5.668977.
Now we can finally use the general formula to solve the volume of a square pyramid.
[tex]V = 1/3 a^2h[/tex]
Let's plug in everything now to find the volume — which we know that the height is approximately 5.66, and the base side length is 4.5.
[tex]V=\frac{1}{3}\left(4.5\right)^2\left(5.66\right)[/tex]
The volume from this formula equates to 38.205 cm³, or roughly 38 cm³, meaning the answer is B.
What are the zeros? Please help
1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?
please give a simple summary of both answers after the explanations!!
9514 1404 393
Answer:
there are no points higher than a maximum; no points lower than a minimumaverage rate of change is the slope of a straight line connecting the points of interest.Step-by-step explanation:
1. A point on a graph is a maximum if there are no points on the graph that are higher.
A point on a graph is a minimum if there are no points on the graph that are lower.
Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.
Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)
__
2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1} \quad\text{where the end points of the interval are $(x_1,y_1)$ and $(x_2,y_2)$}[/tex]
A triangle ABC and its translated image XYZ are shown below.What relationship CANNOT be used to prove that triangle ABC is congruent to triangle XYZ?
Answer:
The answer is "Angle-Angle-Angle".
Step-by-step explanation:
Please find the image file in the attachment.
The angle of an image, composed of two rays at such a popular end-state, could be described. Angles with a tape measure are measured in degrees, When the three angles congruence between two triangles, that is NOT the congruence of a triangle. It seems to be the same (and similar form, yet we know nothing of their scale. We may call us comparable.
2. Graph the solution to the inequality y < -4/5x + 4
Answer:
Use DESMOS graphing calculator
Here's the picture for the answer.
Hope this helped :)
A recipe calls for 2 cups of sugar, 3 cups of flour, 1 cup of butter, and 1/2 a cup of chocolate chips. What is the ratio of flour and butter to sugar?
Answer:
2 : 1
Step-by-step explanation:
Recipe :
Sugar = 2 cups
Flour = 3 cups
Butter = 1 cup
Chocolate chips = 1/2 cup
ratio of flour and butter to sugar?
Total cups of flour plus butter = (3 + 1) = 4 cups
Cups of sugar = 2 cups
ratio of flour and butter to sugar :
4 cups : 2 cups
= 2 : 1
Solve for g?
3=g/-4-5
its a 3g b but it's become to 4G ok and 4 -5 is -1 ok that's always question is
How do I solve this?
The equations are
5a+7s=25
2a+3s=10.5
Answer:
uepwphdohdohdq
Step-by-step explanation:
annyqjlxyogqoyhakvykblyabl,lbaylbaoyhoqhshyvjbaxvleoqo
Garrys H is one less than three times is Sister's age Girl ❤️ Gary's age is one less than three times is Sister‘s age Girl ❤️ Gary is 11 years old how old is his sister
Answer:
4 years old
Step-by-step explanation:
His sister is x years old.
Gary is 1 year less than 3 times her age, so his age is
3x - 1
His age is 11, so we can write an equation.
3x - 1 = 11
Add 1 to both sides.
3x = 12
Divide both sides by 3.
x = 4
Answer: She is 4 years old.
Answer:
4
Step-by-step explanation:
Solve the exponential equation: 4x - 2 = 2x
Answer:
x= 1
Step-by-step explanation:
Solve
Let's solve your equation step-by-step.
4x−2=2x
Step 1: Subtract 2x from both sides.
4x−2−2x=2x−2x
2x−2=0
Step 2: Add 2 to both sides.
2x−2+2=0+2
2x=2
Step 3: Divide both sides by 2.
2x
2
=
2
2
x=1
help me out on this :)
Answer:
Answer is B
Step-by-step explanation:
y = -1
Michells aim to swim a total of 23 miles in 4 weeks. The table below shows the number of miles she swam in the first 3 weeks. How many more miles does Michelle have to swim in week 4 to reach her target?
Answer:
c
Step-by-step explanation:
I said so and I did maths
if
[tex] \sqrt[2]{1845} [/tex]
then find the value
[tex]\qquad\bullet\quad {:}\dashrightarrow\rm \sqrt [2]{1845}}[/tex]
[tex]\qquad\bullet\quad {:}\dashrightarrow\rm\sqrt [2]{1845}[/tex]
[tex]\qquad\bullet\quad {:}\dashrightarrow\rm sqrt[345]{2096}[/tex]
Learn more:-fraction rules
[tex]\boxed{\begin{minipage}{6 cm}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{B} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{minipage}}[/tex]
Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total purchase. If the shoes that Bridget purchased were all priced the same, how much did each pair of shoes cost
Answer:
$37.
Step-by-step explanation:
Firstly, let's set the price of each pair of shoe to be x.
Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.
Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.
Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) [tex]\cdot[/tex] 106%.
Since the whole bill foots to a total of $126.81, we can set the final equation to be:
[tex](3x + 7.5) \cdot 106\% = $126.81[/tex]
[tex](3x + 7.5) \cdot \frac{106}{100} = $126.81[/tex]
[tex]3x + 7.5 = $126.81 \cdot \frac {50}{53}[/tex]
[tex]3x = $119.6 - 7.5[/tex]
[tex]3x = 112.1[/tex]
[tex]x \approx \$37[/tex]
Hope this helped!
3. Three measuring tapes are respectively 24cm, 35cm and 54cm. Which shortest length
of a tape can be exactly measurable by these three tapes? Find it.In L.C.M division method
Answer:
7560
Step-by-step explanation:
view picture
A taxi company charges an initial fee of $1.95, plus $1.60 per mile driven. Shelly has $22.00 to spend on a taxi ride. Which inequality represents the number of miles, m, that Shelly can ride in a taxi
Answer:
Equation
1.95+1.6m ≤ 22
If solved
m ≤ 12.53
Step-by-step explanation:
SO we know the initial fee is 1.95
and for every mile driven, its $1.6
And we know that Shelly can spend less then or exactly the price of 22.
We know that m is miles driven
So we can make an equation
1.95+1.6m ≤ 22
1.95 can’t change since initial fee
1.6*m becuase its 1.6 for every mile driven and since “m” miles were driven, we multiply that by 1.6
Now it can’t go over 22 but it could be less than 22.
So this equation makes sense
If we solve it, it would be about m ≤ 12.53 miles
Exactly 512 tickets were sold for the talent show at Cypress Middle School. The number of student tickets sold was three times the number of adult tickets sold. How many adult and student tickets were sold?
Answer:
Number of adult tickets sold = 128
Number of student tickets sold = 384
Step-by-step explanation:
Given that:
There are two types of tickets:
1. Student tickets
2. Adult tickets
As per the question statement, number of student tickets sold were three times the adult tickets sold.
Let the number of adult tickets sold = [tex]x[/tex]
So, number of students tickets sold = [tex]3x[/tex]
Total number of tickets sold = Number of adult tickets sold + Number of student tickets sold = 512
[tex]\Rightarrow x+3x=512\\\Rightarrow 4x=512\\\Rightarrow x = 128[/tex]
Therefore, the answer is:
Number of adult tickets sold = 128
Number of student tickets sold = [tex]3\times 128[/tex] = 384
Find the slope of the line passing through the points (8,-6) and (1, -2).
Step-by-step explanation:
The slope of the line is -4/7.
Answer:
..............................
How do you add 70 to 580
Answer:
580 +70 which is 650
Step-by-step explanation:
add
HELP!!!!! part A: Ms.Donaldson earns $18.80 per hour for the first 40 hours she works in a week. She earns 1 1/2 times that amount per hour for each out beyond 40 hours in a week. Last week Ms.Donaldson worked 45.5 hours. How much money did she earn? Part B: A health incurrence payment of 34.55 was deducted from Ms.Donaldson's earnings for the week. After the incurrence deduction, payroll taxes equal to 28% of the balance were deducted. What was the amount that Ms.Donaldson received afterwards?
Answer: A. $907.10
B. $628.236
Step-by-step explanation:
For the first 40 hours, Ms.Donaldson will earn: = 40 × $18.80 = $752.0
We are informed that Ms.Donaldson worked 45.5 hours, this means that she worked an extra 5.5 hours. The amount paid for the extra hour will be:
= 5.5 × 1.5 × 18.8
= $155.10
The amount she earned will be:
= $752.0 + $155.10
= $907.10
B. A health incurrence payment of $34.55 was deducted from Ms.Donaldson's earnings for the week. Therefore, the amount she will have after the deduction will be:
= $907.10 - $34.55
= $872.55
After the incurrence deduction, payroll taxes equal to 28% of the balance were deducted. What was the amount that Ms.Donaldson received afterwards?
This will be:
= $872.55 - (28% × $872.55)
= $872.55 - (0.28 × $872.55)
= $872.55 - $244.314
= $628.236
1. Donald usually runs the same distance daily for a total of 28 miles per week, training for a marathon. This week he was unable to run for 3 days How many miles was Donald able to run?
its urgent
12miles
Step-by-step explanation:
this is because 28 divide by 7 is 4 so 4 a day is 12 for 3 days
If the measurment of the angles of a triangle are 3b,2b,and 4b then what is the smallest angle
Given:
The measurement of the angles of a triangle are 3b,2b,and 4b.
To find:
The smallest angle.
Solution:
According to the angle sum property, the sum of all angles of a triangle is 180 degrees.
[tex]3b+2b+4b=180^{\circ}[/tex] [Angle sum property]
[tex]9b=180^{\circ}[/tex]
Divide both sides by 9.
[tex]b=20^{\circ}[/tex]
Now,
[tex]3b=3(20^{\circ})=60^{\circ}[/tex]
[tex]2b=2(20^{\circ})=40^{\circ}[/tex]
[tex]3b=4(20^{\circ})=80^{\circ}[/tex]
Therefore, the smallest angle is 40 degrees.
Help! I literally don't understand any of this
Answer:
32 has exponent of 3
55 has exponent of 2
Step-by-step explanation:
A city has 28 ambulances and 36 fire trucks . Find the ratio of the number of ambulances to the number of ambulances to number of fire trucks in simplest form
Answer:
28:35, which in fraction form is 28/35, but simplified is 4/5 or 4:5
Step-by-step explanation:
Need help on this please and thank you
Step-by-step explanation:
a. 4/7t =56
4t= 392
t=98
b. 4=1/2 b -12
4+12=1/2 b
16=1/2 b
so, b =32
A plumber charges his customers $25.70 per hour, h, plus a $54.50
service fee. On Tuesday, he earns $118.75 for fixing Mrs. Goodwill's
sink.
Mrs. Goodwill also hires an electrician to repair several damaged
outlets in her home. The electrician charges $35.22 for each individual
outlet repair, r, plus a $62 service fee.
If the electrician charges Mrs. Goodwill a total of $167.66, which
equation shows how to determine the number of individual outlet
repairs correctly?
A. 35.22-62r = 167.66
B. 35.22r -62 = 167.66
C. 35.22 +62r = 167.66
D. 35.22r + 62 = 167.66
Answer:
D
Step-by-step explanation:
multiplying 35.22 with r since this amount is charged for every repair and then adding 62 since that is the additional fee
Multiply
7z3 (2z2 – 4z).
A. 14z5 – 28z4
B. 9z5 – 11z4
C. 14z6 – 28z4
D. –14z
Answer:
solve it
Step-by-step explanation: