Answer:
Elsa = x = $28
Hans = y = $26
Charlie = z = $56
Step-by-step explanation:
Elsa, Hans, and Charlie have a total of $106 in their wallets. Hans has $6 less than Elsa. Charlie has 2 times what Hans has. How much do they have in their wallets?
Let us represent.
The amount of money
Elsa = x
Hans = y
Charlie = z
Elsa, Hans, and Charlie have a total of $106 in their wallets.
= x + y + z = 106
Hans has $6 less than Elsa.
y = x - 6
Charlie has 2 times what Hans has.
z = 2x
Hence:
x + x - 6 + 2x = 106
4x - 6 = 106
4x = 106 + 6
4x = 112
x = 112/4
x = 28
Elsa = x = $28
Hans = y = $26
Charlie = z = $56
Discuss the history of algebra. Discuss some of the key developments in the field of algebra
THIS IS MY LAST QUESTION. Okay, im a bit anxious to get this done. Ive done half the problem, I just need the other half.
Answer:
umef leaf ninja the frog held a
The following dot plot Represents student scores on both the Unit 1 and Unit 2 math test. Scores are in whole number increments.
Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests
has more variation than the other or is the variation about the same for both tests? Use complete sentences in your
answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for the Unit 1 test.
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your
answer and explain your reasoning.
I answered in a comment and had more as an answer but he deleted it I don't know what I put for the rest so sorry about that
h( t ) = 3t - 6 which function increases faster
In a shipment of new cookies for a store, 4/12 of the cookies were sugar and 1/5 were oatmeal. The remainder of the cookies were chocolate chip. What fraction of the cookies were chocolate chip?
Answer:
13/15
Step-by-step explanation:
The fraction of the cookies that are chocolate chip can be determined by solving this equation
1 - ([tex]\frac{4}{12}[/tex] - [tex]\frac{1}{5}[/tex])
1 - [tex]\frac{20 - 12}{60}[/tex]
1 - [tex]\frac{8}{60}[/tex]
[tex]\frac{60}{60}[/tex] - [tex]\frac{8}{60}[/tex] = [tex]\frac{52}{60}[/tex] = 13/15
The numbers are 10 feet, 8 feet, 1 foot
A right rectangular prism is shown. Find the surface area of this prism.
A) 80 square feet
B) 164 square feet
C) 196 square feet
D) 220 square feet
Answer
196
Step-by-step explanation:
Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question
PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3
Answer:
1. 6cm , 8cm , 10cm
2. 3cm , 4cm , 5cm
Step-by-step explanation:
will mark brainiest, please explain
Imagine cutting this shape into two semi-circles and one rectangle.
------------------------------------------------------------------------------------------------------
Each semi-circle has a diameter of 36 metersThe radius would be (36/2) = 18 meters.--------------------------------------------------------------------
We know the area of a whole circle which is π[tex]r^{2}[/tex]
The formula of area of a semi-circle: 1/2(π[tex]r^{2}[/tex])because a semi-circle is basically half of the whole circle!
However, since we have two equal semi-circles...we can just put them together and solve for the whole circle's area.
for reference:
1/2(π[tex]r^{2}[/tex]) + 1/2(π[tex]r^{2}[/tex]) = 2/2(π[tex]r^{2}[/tex]) = π[tex]r^{2}[/tex]
----------------------------------------------------------
First, the area of rectangle: length times width = 84 x 36 = 3024 square meters
Anyways, since we have to sub in 3.14 for π
Area of a whole circle: (3.14 x [tex]r^{2}[/tex]) = (3.14 x [tex]18^{2}[/tex]) = 1017.36 square meters
-----------------------------------------------------------
3024 + 1017.36 = 4041.36 square meters
ANSWER: JThe figure shows secant GC and tangent GB intersecting to form an angle. Find x and y. If necessary, round to the
tenths place.
A X= 52.5
V = 30
B. = 54
= 60
C. X = 52.5
y = 93
D. 7 - 106.5
y = 60
Calculate the perimeter of a right scalene triangle with a hypotenuse of 10 and a leg of 6. Enter just the number for your answerdo not units
Answer:
24
Step-by-step explanation:
I'll give brainliest pleassee answer right!!
Answer:
Step-by-step explanation:
1 dined esta Ricardo
2donde vamos
3que class de gusta mas
4que ensena el profesor
5como son Los estudiantes
Write and expression for the AREA of the figure in simplest form.
2x-12
1X-6
Answer:
2
−
1
2
1
−
6
−
1
1
9
−
6
Solution
−
1
1
9
−
6
hope this helps
1/2-1/6(4-1/3) simplify
Answer:
3 5/7
Step-by-step explanation:
a universally accepted principle which does not require proof.
What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.
Answer:
[tex] - \frac{5}{2} [/tex]
Step-by-step explanation:
4x -10y= 40
Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.
10y= 4x -40
Divide both side by 10:
[tex]y = \frac{2}{5} x - 4[/tex]
The product of the gradients of perpendicular lines is -1.
⅖(gradient of line)= -1
Gradient of perpendicular line
[tex] = - 1 \div \frac{2}{5} [/tex]
[tex] = - 1 \times \frac{5}{2} [/tex]
[tex] = - \frac{5}{2} [/tex]
9y^2 -24y +16 is the area find the side length
Factor using the perfect square rule.
( 3 y − 4 ) ^2
Answer: 3x+ 4 units
Step-by-step explanation:
9x^2 + 24x + 16 =(3x +4) (3x + 4)
lenth of each side 3x+ units
b) After allowing 16 % discount on the marked price of an article and levying 13 % value
added tax, the price of the article becoipes Rs 9,492. Find the value added tax.
Answer:
135.15
Step-by-step explanation:
let SP be x
sp with vat=sp + vat % of sp
9492=x+13/100*x
x=1039.6
vat=vat% of sp
=13/100*1039.6
=135.15
Seafloor spreading creates new rock on the __________ and pushes old rock to the__________.
Please Help! This is due today!
3.
The value of (x + 6)(x + 6) is
Answer:
We do simple multiplication to get x² + 12x + 36.
Hope this helps!
Answer:
[tex]\huge\boxed{\sf x^2 + 12x + 36}[/tex]
Step-by-step explanation:
[tex]\sf (x+6)(x+6)\\\\= x(x+6) + 6(x+6)\\\\= x^2 + 6x + 6x + 36\\\\= x^2 + 12x + 36\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Ken had 80 rubber bands, he sold 10 and 10
got damaged. How many good rubber bands
were left with Ken? What percentage of
rubber bands were left?
Answer:
60 were left with Ken, and that is 75%
Step-by-step explanation:
80-10 = 70
70-10 = 60
60/80 = x/100, simplify & cross multiply
6/8 = x/100
600 = 8x
x = 75
On the first 3 of 4 consecutive days, Gary delivered 78, 52, and 70 newspapers. How many newspapers did Gary deliver on the fourth day, if the average number of newspapers he delivered per day during the four-day period was 72?
A.
70
B.
72
C.
80
D.
88
E.
Given the number of newspapers Gary delivered on
the first three days, he cannot average exactly 72 per
day for the four-day period.
In ΔRST, the measure of ∠T=90°, the measure of ∠R=24°, and RS = 3.8 feet. Find the length of ST to the nearest tenth of a foot
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
The side links of a triangle are 3 m, 4 m common 5 m. Suppose the side links are multiplied by four. Describe the change in perimeter
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Side links are : 3m, 4m, 5m
The perimeter of a triangle = (a + b + c)
Perimeter 1= (3 + 4 + 5) = 12m
If the side links are multiplied by 4 :
3*4 = 12 m
4*4 = 16m
5*4 = 20m
Perimeter2 = (12 + 16 + 20) = 48 m
Comparing the perimeters:
Perimeter 1 = perimeter 2
12 = 48
Hence, perimeter also increases by 4 folds
Help please just answer don’t explain
Answer:
it’s true. :)
the answer is false
your welcome
12= 3x X 6 what is the valu of the x ?
Answer:
x = 2/3
Step-by-step explanation:
I could not type the answer out but I took a picture of it.
Hope this helps you!
evaluate the expression
I 13 I + I -2 I
Answer:
15
Step-by-step explanation:
Apply absolute rule: | a | = a, a ≥ 0
| 13 | = 13
= 13 + | -2 |
| -2 | = 2
= 13 + 2
= 15
Is the answer to the problem below correct? If yes, why? If not, what mistake(s) were made in solving the
problem an what is the correct answer?
Step 1: 12 = -2(x - 4) - 8
Step 2: 12 = -2x - 8 - 8
Step 3: 12 = -2x - 16
Step 4: 28 = -2x
Step 5: 26 = x
9514 1404 393
Answer:
x = -6 (correct answer)
mistakes were made in Step 2 and Step 5.
Step-by-step explanation:
The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.
Step 1: 12 = -2(x -4) -8
Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2
Step 3: 12 = -2x . . . . . . . . . . . like terms combined
Step 4: -6 = x . . . . . . . . . . . . . divide by -2
__
Check
12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK
__
Comment on other mistake
In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.
An additional mistake was made in that the answer was not checked.
Two customers took out car loans from a bank.
Robert took out a 4-year loan for $30,000 and paid 4.9% annual simple interest.
Susan took out a 6-year loan for $30,000 and paid 4.5% annual simple interest.
What is the difference between the amounts of interest Robert and Susan paid for their car loans?
Enter your answer in the box.
$
Answer:
2200 i took the test got a 100
Step-by-step explanation:
Answer:
The answer is actually 2220!
Step-by-step explanation:
Write the center and radius for the following circles
Given:
The equations of circle are
4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
5. [tex](x-1)^2+(y+2)^2=28[/tex]
6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
To find:
The center and radius for the given circles.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.
4.
The equation of the circle is
[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
The standard form of this circle is
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]
Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].
5.
The equation of the circle is
[tex](x-1)^2+(y+2)^2=28[/tex]
The standard form of this circle is
[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]
[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]
Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].
6.
The equation of the circle is
[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
The standard form of this circle is
[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]
[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]
Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].
Find the circumference and area of each circle to the nearest tenth. Use 3.14 for pi. 1.) radius = 1.7 2.) radius = 14 ft 3.) 9 in
Answer:
Step-by-step explanation:
Circumference of a circle = 2πr
Area of circle = πr²
Here, r = radius of the circle
1). For radius = 1.7 units
Circumference = 2π(1.7)
= 2(3.14)(1.7)
= 10.676
≈ 10.7 units
Area of the circle = π(1.7)²
= 3.14(1.7)²
= 9.0746
= 9.1 units²
2). For radius = 14 ft
Circumference of the circle = 2π(14)
= 28(3.14)
= 87.92
≈ 87.9 ft
Area of the circle = πr²
= 3.14(14)²
= 615.44
≈ 615.4 ft²
3). For radius = 9 in.
Circumference = 2π(9)
= 18π
= 56.52
≈ 56.5 in
Area of the circle = π(9)²
= 81π
= 254.34 in²
≈ 254.3 in²