help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!!
Answers
Answer:
a = 15
b = -10
Step-by-step explanation:
Here, we want to solve the system of linear equations
Firstly, let us multiply the first equation through by 10
2a - 5b = 100 ••••(i)
from the second equation;
a = 29 + b
Substitute this into i
2(29 + b) - 5b = 100
58 + 2b -5b = 100
-3b = 100-58
3b = 42
-b = 42/3
-b = 14
recall;
a - b = 29
a - (-14) = 29
a + 14 = 29
a = 29-14 = 15
Answer:
a = 15
b = - 14
Step-by-step explanation:
Solve the equation for a
a = 29 + b
Substitute the given value of a into the equation [tex]\frac{a}{5}-\frac{b}{2}=10[/tex]
[tex]\frac{29+b}{5}- \frac{b}{2} =10[/tex]
Solve the equation for b
b = - 14
Substitute the given value of b into the equation a = 29 + b
a = 29 + (- 14)
Solve the equation for a
a = 15
The possible solution of the system is the ordered pair (a, b)
(a, b) = (15, -14)
Check if the given ordered pair is the solution of the system of equations
[tex]\frac{15}{5} - \frac{-14}{2} = 10[/tex]
[tex]15-(-14) = 29[/tex]
Simplify the equalities
10 = 10
29 = 29
Since all of the equalities are true, the ordered pair is the solution of the system
(a, b) = (15, -14)
Related Questions
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answers
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
The lot is 48 feet wide.
The dividers are each 2 feet wide.
Answers
A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.
Answers
Answer:
9203 cm³
Step-by-step explanation:
A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.
The shape of the moon is spherical
Hence:
The volume of a sphere
= 4/3 × π × r³
r = radius = 13 cm
= 4/3 × π × 13³
= 9202.77 cm³
Approximately to the nearest whole number = 9203 cm³
Therefore, the volume of the globe is 9203 cm³
The area of a basketball court is 4500 ft2. The width is 50 feet. Find the length
Answers
Answer:
90ft
Step-by-step explanation:
Area = Width x Length
Length = Area/Width
Length = 4500/50
Length = 90
Hope this helps buds!!
6x + 7b - 7x + 10x
What is the answer to this question?
Answers
..............
Answer:7b+9x
Step-by-step explanation:hope I helped
sales of 10 000 increase by 65 each year
Answers
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
Help please
Show work if possible
Brainiest answer to whoever is first
Answers
Answer:
multiply each side
15 x 7 x 10= 1050
I hope this helps
Step-by-step explanation:
W = 7cm
L= 15 cm total
Underneath L = 10cm
top side of pentagon to the bottom right =
15 - 10 = 5cm
So - 7 x 15 = 105
And - 10 x 5 = 50
Then - 105 + 50 = 155cm²
I Haven't done this in a while
There are 100 calories in 8 fluid Ounces of orange juice and 140 calories in 8 fluid Ounces of pineapple juice. Tia mixed 4 fluid Ounces of each juice. Complete and solve the equation to find the number of calories in each fluid Ounce of Tia's juice mixture. 140 = 8x 2 X= There are calories in each fluid ounce of Tia's juice mixture.
Answers
Answer:
15 calories
Step-by-step explanation:
Number of calories in 8 ounces of orange juice = 100
Number of calories in 1 ounce of juice = 100/8
Number of calories in 4 ounces of juice = 100/8 x 4 = 50 calories
Number of calories in 8 ounces of pineapple juice = 140
Number of calories in 1 ounce of juice = 140/8
Number of calories in 4 ounces of pineapple juice= 140/8 x 4 = 70 calories
Now the mixture has 50 + 70 = 120 calories in 8 ounce.
So, 1 ounce of mixture has 120/8= 15 calories.
What is the area of the circle shown? Use 3.14 for pi.
Help me please I need to pass this test
Answers
A=3.14 x 10^2
A=3.14x100
A=314
314cm is your answer
geometry unit 5 homework 5
Answers
Answer:
Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?
have a good day
6. Which is the solution to the system of equations
Answers
Answer:
Lets solve using elimination method
(x+y=-7)*-2
3x+2y=-17
-2x-2y=14
+
3x+2y=-17
x=-3
so lets substitute now
-3+y=-7
y=-7+3
y=-4
answer = (-3,-4)
mark me brainliest
HOPE IT HELPS :)
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Answers
Answer:
[tex]V = 6746.30cm^3[/tex]
Step-by-step explanation:
Given
[tex]Surface\ Area = 1700cm^2[/tex]
Required
Determine the largest possible volume
Represent the dimension with:
[tex]Height = h[/tex]
[tex]Sides = x[/tex]
Surface Area with an open top is:
[tex]Surface\ Area = x^2+ 4hx[/tex]
Substitute 1700 for Surface Area
[tex]1700 = x^2+ 4hx[/tex]
Make h the subject
[tex]4hx = 1700 - x^2[/tex]
[tex]h = \frac{1700 - x^2}{4x}[/tex]
The volume (V) is calculated as:
[tex]V = x^2h[/tex]
Substitute value for h in [tex]V = x^2h[/tex]
[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]
[tex]V = x*\frac{1700 - x^2}{4}[/tex]
[tex]V = \frac{1700x - x^3}{4}[/tex]
[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{1}{4}x^3[/tex]
Differentiate and equate to 0, afterwards
[tex]V' =425 - \frac{3}{4}x^2[/tex]
[tex]425 - \frac{3}{4}x^2 = 0[/tex]
[tex]\frac{3}{4}x^2 = 425[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = 425 * \frac{4}{3}[/tex]
[tex]x^2 = 566.67[/tex]
Take the square root of both sides
[tex]x = \sqrt{566.67[/tex]
[tex]x = 23.80[/tex]
Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]
[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]
[tex]h = \frac{1133.56}{95.20}[/tex]
[tex]h = 11.91[/tex]
So, the largest possible volume is:
[tex]V = x^2h[/tex]
[tex]V = 23.80^2 * 11.91[/tex]
[tex]V = 6746.30cm^3[/tex]
The surface area of this cube is 864 square yards. What is the value of q?
Answers
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
Help me on this plzzzz :((((((
Answers
Answer:
A. A
Step-by-step explanation:
Lauren invests money in an accout paying simple interest.She invests $50 and no money is added or removed from investments.After one year she has $50.50.What is the simple percent of interest per year
Answers
Answer:
1%
Step-by-step explanation:
\text{\color{blue}{100\%} represents the \color{blue}{starting balance}: \color{blue}{\$50}.}
100% represents the starting balance: $50.
Method 1
Express the ending balance as a percentage of the starting balance:
\frac{\color{darkviolet}{\$50.50}}{\color{blue}{\$50}}=
$50
$50.50
=
\,\,1.01
1.01
1.01\times100=
1.01×100=
\,\,\color{darkviolet}{101\%}
101%
\text{Subtract the starting \color{blue}{100\%} to get the \color{green}{percent interest}:}
Subtract the starting 100% to get the percent interest:
\color{darkviolet}{101\%}-\color{blue}{100\%}=
101%−100%=
\,\,\boxed{\color{green}{1\%}}
1%
Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please
Answers
4.
As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?
Answers
Answer:
The other distances are 400 ft and 750 ft.
Step-by-step explanation:
a + b + c = 2000
a + b + 850 = 2000
a + b = 1150 Equation 1
a^2 + b^2 = c^2
a^2 + b^2 = 850^2
a^2 + b^2 = 722,500 Equation 2
a + b = 1150
a^2 + b^2 = 722,500
a = 1150 - b
(1150 - b)^2 + b^2 = 722,500
1,322,500 - 2300b + b^2 + b^2 = 722,500
2b^2 - 2300b + 600,000 = 0
b^2 - 1150b + 300,000 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]
[tex]x = \dfrac{1150 \pm 350}{2}[/tex]
[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]
x = 750 or x = 400
Answer: The other distances are 400 ft and 750 ft.
Martin got a haircut yesterday if he pad $27 and left an 18% tip, what was the total bill
Answers
======================================================
Work Shown:
x = total bill amount ignoring the tip
18% of x = 0.18x = tip amount
x+0.18x = 1.18x = amount Martin paid = 27
1.18x = 27
x = 27/1.18
x = 22.8813559322033 approximately
x = 22.88 dollars was the total bill.
----------
Checking the answer:
18% of 22.88 = 0.18*22.88 = 4.1184 = 4.12
Martin left a tip of $4.12
Add this on top of the bill to get 22.88+4.12 = 27
This matches with the fact he paid $27.
The answer is confirmed.
Find the third angle of a right triangle if the measure of one
of the angles is 25º.
Answers
Answer:
hi
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Just add 25 to 90 and remember a triangle's angle mus always add to 180
9. Naomi bought fabric on sale for $3.20 per
yard. If she spent less than $40, how many
yards did purchase
Inequality
Solution
HELP WILL MARK BRAINLEST TO THE FASTEST ANSWER HELPPPPPPPPPPP
Answers
Answer:
x < 12.5 but see below. This is not a straight forward question.
Step-by-step explanation:
Inequality
3.20x < 40
Solution
Divide by 3.2
40 / 3.2 x < 12.5
Here's the question. What do you do with the 0.5? If you think she can buy 1/2 a yard (I think she might be able to in most places stocking bolts of material), then the 0.5 stays.
If you think she can only buy whole yards, then the answer is 12. Since the question does not make it clear, I would go with 12.5 yards. If it marks you wrong then you go with 12.
The question is an inequality. She has to buy less than 12.5
i just need help with the equation! i think i have it i just need to be sure
Answers
T-shirt: $5
Goal: $150
$45 has been raised so far (that means they sold 9 T-shirts) 5 x 9 = $45
150/5 = 30 t-shirts (they need to sell 30 t-shirts in the total)
150-45 = They need $105 to archive their goal
105/5 = 21 t-shirts
Find the values of a, b, and c for the equation in standard form (y=ax^2+bx+c) of the graph of the parabola shown below.
a =____________
b = ___________
c = ___________
Answers
Answer:
[tex] \boxed{ \boxed{ \mathfrak{a = - \frac{1}{2 } \: b = 2 \: c = 4}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:quadratic equationPEMDAStips and formulas:the parabola crosses f(x) at (4,0)the vertex of the parabola (2,6)vertex:(h,k)h=-b/2ak=f(x)vertex form:f(x)=a(x-h)²+kstandard form:ax²+bx+clet's solve:the vertex form of the equation is
[tex] \sf f(x) = a(x - 2 {)}^{2} + 6[/tex]let's figure out a
since the parabola crosses f(x) at (0,4)
therefore
[tex] \sf a(0 - {2)}^{2} + 6 = 4[/tex][tex] \sf simplify \: parentheses : \\ \sf a( - 2 {)}^{2} + 6 = 0[/tex][tex] \sf simplify \: squres : \\ \sf \: 4a + 6 = 4[/tex][tex] \sf cancel \: 6 \: from \: both \: sides : \\ \sf 4a + 6 - 6 = 4 - 6 \\ \sf 4a = - 2 [/tex][tex] \sf divide \: both \: sides \: by \: 4 : \\ \sf \frac{4a}{4} = - \frac{ 2}{4} \\ \sf a = - \frac{1}{2} [/tex]let's figure out b,c
we have to substitute the value of a into the vertex form and then simply it to get b and c[tex] \sf substitue \: the \: value \: of \: a \: into \: the \: vertex \: form \: of \: the \: equation : \\ \sf \frac{1}{2} (x - 2 {)}^{2} + 6[/tex][tex] \sf use \: (a - b {)}^{2} = {a}^{2} - 2ab + {b}^{2} \: to \: simplify \: the \: exponet : \\ \sf - \frac{1}{2} ( {x}^{2} - 2.x.2 + {2}^{2} ) + 6 \\ \sf - \frac{1}{2} ( {x}^{2} - 4x + 4) + 6[/tex][tex] \sf distribut e \: - \frac{1}{2} \: between \: the \: parentheses : \\ \sf - \frac{1}{2} x + 2x - 2 + 6[/tex][tex] \sf add : \\ \sf - \frac{1}{2} x + 2x + 4[/tex]therefore
[tex] \sf \: b = 2[/tex][tex] \sf \: c = 4[/texAnna just accepted a job at a new company where she will make an annual salary of
$66000. Anna was told that for each
stays
with the
company,
she will be
given a salary raise of $4000. How much would Anna make as a salary after 6 years
working for the company? What would be her salary after t years?
year she
Salary after 6 years:
Salary after t years:
Submit Answer
attempt 1 out of 2
Answers
If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on coke.
Answers
Need help quick please!!!
Could you please explain the answers to both questions? Thanks!
Answers
2/6 = 5/x
2x = 30
x = 15
For the other picture:
3.2/2 = a/8
The third option applies.
Other option does not apply.
Because for Option 4,
It should be 2/3.2 = b/6.4
For option 3,
it should be b/6.4 = 5/8
NEED HELP ASAP
evaluate each expression for the given value(s) of the valube(s)
c-:2 when c=26
5(9+d)-6 when d=3
g^(2)+23 when g=6
3h-j when 8 and j=11
(n-2)× m when n= 5 and m=9
r(s^(2))(t)=2,s=3, and t=5
Answers
Answer:
times 3
Step-by-step explanation:
add 8 and plus the 10
WILL MARK AS BRAINLIEST PLEASE HELP!!!
Answers
Step-by-step explanation:
2x = y-10
Rewrite as: 2x + 10 = y
Therefore:
2x+10 = y
2x +7 = 2y
Subtract the equations:
2x + 10 = y
- 2x + 7 = 2y
______________
3 = -y
Therefore y = -3
Substiture y = -3 into the second equation:
2x + 7 = 2(-3)
2x + 7 = -6
2x = -13
x= -6.5
Answer : (-6.5, -3)
Answer:
(-13/2,-3)
Step-by-step explanation:
First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).
If this has helped you, please mark the is brainliest
Please Help Will Give Brainlist
2a+2=6
Answers
Answer: 4a
Step-by-step explanation:
Answer:
a = 2
Step-by-step explanation:
2a + 2 = 6
2a + 2 - 2 = 6 - 2
2a = 4
2a / 2 = 4 / 2
a = 2
Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!
if all the areas of the spinner are the same size, what is the probability the spinner will land on a spuare? WRITE AS A PERCENT
Answers
Can anyone help me solve these equations?
1. 2x + 6 + x -12
2. 1/2 (6x -8) = 3x
3. 5x +1 = -2x -8
Answers
fix the first one,theres no equal sign, and ill solve it