Answer:
x = 5
Step-by-step explanation:
Expressing the ratio in fractional form , that is
[tex]\frac{9}{x}[/tex] = [tex]\frac{36}{20}[/tex] ( cross- multiply )
36x = 180 ( divide both sides by 36 )
x = 5
In a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9. If the bag has a total weight of 3 kilograms, how many kilograms of beans are there in the bag? (round to nearest thousandths)
Answer: 0.667 kilograms
Step-by-step explanation:
From the question, we are informed that in a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9.
If the bag has a total weight of 3 kilograms, the amount of kilograms of beans that are there in the bag will be:
= 3/9 × 2 kilograms
= 6/9 kilogram
= 0.667 kilograms
Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?
Answer:
Kindly check explanation
Step-by-step explanation:
Total principal invested = $15000
Investment x at 4% (0.04)
Investment y at 3.5% = 0.035
Investment z at 8% = 0.08
z investment = 2x
Total interest earned = $845
Simple interest = principal * rate * time
y * 0.035 + x * 0.04 + 2x * 0.08 = 845
0.035y + 0.2x = 845 - - - (1)
y + x + 2x = 15000
3x + y = 15000 - - - - (2)
y = 15000 - 3x
0.035(15000 - 3x) + 0.2x = 845
525 - 0.105x + 0.2x = 845
525 + 0.095x = 845
0.095x = 845 - 525
0.095x = 320
x = 320/0.095
x = 3368.42
Z = 2x
Z = 2 * 3368.42 = $6736.84
y = 15000 - 3(3368.42)
y = $4894.74
Pam rented a bike from Jim's bike shop. Jim charges a rental fee of $6 and then $3 per hour
to rent the bike. If Pam paid $27, for how many hours did she rent the bike?
Answer:
7 hours
Step by step instructions:
$3 x 7 hours = $21
$21 + $6 = $27
Which table represents a linear function?
answers are in the picture plz help im timed
Answer: first table
Step-by-step explanation: go with the first one
A-5-B when A=9 and B=-4
Answer:
8
Step-by-step explanation:
(Refer to picture)
Plug in the value of A and the value of B into the expression
You started the day with a certain amount of money. You lost half of it. Then you lost an additional $100. Afterwards, you were given $5. Then you found $30. Afterwards, you lost half of your money again. You then lost another $8. You then gave away $7. You ended the day with $30. How much did you start with?
Answer:
$310
Step-by-step explanation:
starting backwards:
30+7=3737+8=4545*2=9090-30=6060-5=5555+100=155155*2=310Answer is $310Answer:
$310
Step-by-step explanation:
hellllp me with this plz thaks
Katie went to buy a new tv and finds one for $550.00. In the state of Texas, there is a 6% sales tax on items. How much did Katie pay for the TV including the tax?
Answer:
583$
Step-by-step explanation:
6% is equal to 0.06, so you multiply 550 by 0.06. which equals 33. Then, because it asks for how much Katie played, including the tax and TV, you add 33 to 550.
Simplify: 3x-4(2x-6) + 9
If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)
The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.
Linear EquationThe equation whose variables have the highest power as 1 is known as a linear equation.
How to write the linear equation for the given situation?First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.
The cost of Ryegrass lawn seeds is $0.70 per pound.
So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.
The amount of Fescue lawn seeds purchased is 25 pounds.
And the cost of Fescue lawn seeds is $1.15 per pound.
So, the cost of all the Fescue lawn seeds purchased is,
= $1.15 x 25
= $28.75
And the total cost of buying the two types of lawn seeds is $48.
So, we can write the linear equation as,
0.70x + 28.75 = 48
Solving the linear equation for x, we get
0.70x = 48 - 28.75
0.70x = 19.25
x = 19.25/0.70
x = 27.5
Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.
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I really need help hurry
Answer:
the answer is A. {-1, 1, 3}
Step-by-step explanation:
4x - 3 = 6x + 9 looking for variable
Answer:
x=-6
Step-by-step explanation:
Add 3 on both sides and subtract 6 on both sides.
This gives you -2x=12
Divide -2 on both sides
this gives you -6.
x=-6
[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]
Step By Step Explanation:
Step 1:
→[tex]4x - 3 = 6x + 9[/tex]
Step 2:
→[tex]4x - 6x = 9 + 3[/tex]
Step 3:
→[tex] - 2x = 12[/tex]
Step 4:
→[tex]x = \frac{12}{ - 2} [/tex]
Step 5:
→[tex]\green{x = - 6}[/tex]
verification:
Step 1:
⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]
Step 2:
⇝[tex] - 24 - 3 = - 36 + 9[/tex]
Step 3:
⇝[tex] - 27 = −27[/tex]
[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]
The diameter of a circle is 9 ft. Find its area to the nearest tenth.
Step-by-step explanation:
D=9
A=pie*radius^2
=3.14*9/2*9/2
=63.58
=64
please help!! It’s for geometry!!
Answer:
1. SAS
2. SSS
3. SAS
4. SAS
5. SSS
6. SSS
7. SAS
8. SSS
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
A hairdresser is deciding to open her own studio. If the hair dresser chooses Location A she will pay $1200 in rent and will earn $45 per
haircut. If she chooses Location B, she will pay $1800 in rent and will earn $60 per haircut. How many haircuts would she have to give to make
the same profit in either location?
Answer: x = Number of haircuts
Location A profit: 45x-1200
Location B profit: 60x-1800
(Lets assume that the profit is the same for each location)
45x-1200=60x-1800
By solving that we found:
x = 40 Haircuts
Hope this helps!
Step-by-step explanation:
FAST
Which expression is equivalent to rm ÷ rn? (4 points)
rm – n
rm + n
rm • n
rm ÷ n
I need help plz and plz explain why plz
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
Answer:
156 minutes
Step-by-step explanation:
2*60=120
.6*60=36
36+120-156
Brainliest Appreciated!
solve x²-24x+14=0 by completing the square. what are the solutions
Answer:
x=±√130+12
I believe :-)
7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2
Answer:
y=-2x+6
Step-by-step explanation:
y=mx+b
10=(-2)(-2)+b
10=4+b
10-4=b
6=b
what other properties do we use to rewrite expressions and equations
Answer:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Step-by-step explanation:
Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
What is Expression?An expression is combination of variables, numbers and operators.
The properties we use to rewrite expressions and equations are
The commutative
Associative, and
distributive properties
These properties help to rewrite a complicated algebraic expression into simpler form.
When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Hence, Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
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Solve 3(4x-1)=12x +7
(+16) + (-32) =
A -12
B 14
C -16
Answer:
-16
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
16+(-32)= -16
Pampered Pooch charged $10 for 2 hours of doggie daycare and $20 for 4 hours. What is the unit rate? Show your work.
Answer:
$5
Step-by-step explanation:
1=$5 so 2 hours = 10 SO 4hours ×$5= $20
Answer:
$5 per hour
Step-by-step explanation:
hope this helps :D
cheers man
What is the value of x?
A)9.4
B)7
C)-9.4
D)-7
Answer:
we need to see the problem
Step-by-step explanation:
try sending a picture
Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form
Answer:
y = 75x + 800
Step-by-step explanation:
Answer:
y = 75x + 800
'x' represents the number of people
800 represents the base rate
Triangle XYZ is rotated to create the image triangle X'Y'Z'.
On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.
R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)
Answer:
b. e
Step-by-step explanation:
Options B and E are the correct answers.
We need to describe the transformation of triangle XYZ to triangle X'Y'Z'.
What is rotation?Rotation is the circular movement of an object around an axis of rotation.
Now, from triangle XYZ to triangle X'Y'Z' the angle of rotation is 180°.
The translation is (x, y) → (–x, –y).
Therefore, options B and E are the correct answers.
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How many real solutions are in the equation 8-4x=0
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. SAS
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
I think it might be C...
Which sequence of transformations will generate triangle A'B'C' from triangle ABC?
Answer:
C !!
when u reflect it the point "C" will be on -1,-1 and when u move it to the right two units it'll end up at point 1,1 matching it with point C'
can anyone help this is my last try agian
Answer:
The bakery sold 340 that day
Step-by-step explanation:
119 is 35 percent of 340