Answer: $1200
Step-by-step explanation:
SO we know that their income is 5000 and 25% of it i for food.
so we will multiply 25% * 5000 =1250 so we know that out of the 5000, $1250 - $50=$1200
This means that 1% of the was reduce.So now the food budget will be 24% out of the total budget.
What two numbers have a sum of 191 and a difference of 63? *Hint: Create a system where one equation represents the sum and one equation represents the difference. (smaller number) (bigger number)
Answer:
127 &64
Step-by-step explanation:
x+y=191 eq(1) & x-y=63 eq(2)
x=63+y then put in the eq(1)
63+y+y=191
2y=191-63
y=64 then put in the eq(2)
x-y=63
x= 63+y
x=63+64
x=127
Answer:
both numbers are 127 and 64
Step-by-step explanation:
x= one of the numbers
191-x= the other number
(191-x)-x=63
191-x-x=63 (combine like terms)
191-2x=63 (rearrange)
191-63-2x (simplify)
128=2x
64=x
(127 +64=191)
(127-64= 63)
I need this done please help in the picture
Answer
7.85
but I not sure JutMon21 know the problem
Answer:
I got 7.85
Step-by-step explanation:
First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85
What is the area of this composite figure?
Answer:
80
Step-by-step explanation:
The observed rabbit population on an island is given by the function p(t) =-4t^2+80t+1200, where t is the time, in years, since the teachers began observing the rabbits. According to this quadratic function, after how many years will the rabbit population reach its peak
Answer:
The rabbit population will reach its peak after 10 years.
Step-by-step explanation:
Suppose we have a quadratic function in the following format:
[tex]p(t) = at^{2} + bt + c[/tex]
The vertex of the function is the point:
[tex](t_{v}, p(t_{v})[/tex]
In which
[tex]t_{v} = -\frac{b}{2a}[/tex]
If a is negative, the vertex is a peak.
In this question:
[tex]p(t) = -4t^{2} + 80t + 1200[/tex]
So
[tex]a = -4, b = 80, c = 1200[/tex]
According to this quadratic function, after how many years will the rabbit population reach its peak
This is [tex]t_{v}[/tex]
[tex]t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10[/tex]
The rabbit population will reach its peak after 10 years.
What are the equivalent ratios of 5/8
Answer:
60/96
Step-by-step explanation:
Answer:
10:16 or 2.5:4
Step-by-step explanation:
sorry if i am wrong
Find the slope and the y-intercept, then write the equation for the line in slope intercept form ?
Answer:
Slope: 1/3
Y-Intercept: (0,7)
Equation: y = 1/3x + 7
Step-by-step explanation:
If you find a point on the line, you can find the slope by counting the distance from the y-intercept.
Which expression is a difference of squares with a factor of 2x + 5
[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5
because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]
The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].
What is the Difference of squares formula?Given:
2x + 5
To find:
The expression is a difference of squares with a factor of 2x + 5.
Step 1
The difference of squares formula is given by
[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]
We have been given that one factor is 2x + 5.
Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]
Step 2
It means that the other factor must be (a - b) = (2x - 5)
Hence, in order to expression, we can multiply the factors.
(2x + 5)(2x - 5)
Step 3
Using the difference of squares formula
(2x + 5)(2x - 5)
[tex]$&=(2 x)^{2}-5^{2} \\[/tex]
[tex]$&4 x^{2}-25[/tex]
The required expression exists [tex]$4 x^{2}-25$[/tex].
Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].
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If you answer a question put the number of the question in your answer. Thanks
Answer:
You'll find the answer below each.
Step-by-step explanation:
1-4 you can use this formula: [tex]V=l*h*w[/tex]
1.
[tex]V=l*w*h\\V=(6ft)(4ft)(1ft)\\V=24ft^3[/tex]
2.
[tex]V=l*h*w\\V=(2yd)(\frac{1}{2}yd )(2yd)\\V=2yd^3[/tex]
3.
[tex]V=l*h*w\\V=(12\frac{1}{2}mm)(3mm)(4mm)\\V=150mm^3[/tex]
4.
[tex]V=l*h*w\\V=(2cm)(8.5cm)(2cm)\\V=34cm^3[/tex]
5-7 you need these 2 formulas: [tex]A=\frac{bh}{2}[/tex] and [tex]V=Bh[/tex] or you can use one formula which is: [tex]V=\frac{bh}{2}*h[/tex]
Let me explain. The first formula is for finding the area of the base of the triangle and the second formula is for finding the volume of the prism using the area previously mentioned. The first h is with respect to the triangle and the second h is with respect to the prism.
5.
[tex]V=\frac{bh}{2}*h\\V=\frac{(8in)(6in)}{2}* 18in\\V=\frac{48in^2}{2}*18in\\ V=48in^2*9in\\V=432in^3[/tex]
6.
[tex]V=\frac{bh}{2}*h \\V=\frac{(11m)(5m)}{2}*35m \\V=\frac{55m^2}{2}*35m\\ V=\frac{1925m^3}{2}\\ V=962.50m^3[/tex]
7.
[tex]V=\frac{bh}{2}*h \\V=\frac{(5mm)(8mm)}{2}*12mm\\V=\frac{40mm^2}{2}*12mm\\ V=40mm^2*6mm\\V=240mm^3[/tex]
For the last one, we have a special case.
This formula is a bit odd and long.
[tex]V=\frac{1}{4}h(\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]
a=8yd
b=15yd
c=17yd
h=11yd
[tex]V=\frac{1}{4}(11yd)(\sqrt{-(8yd)^4+2[(8yd)(15yd))]^2+2[(8yd)(17yd)]^2-(15yd)^4+2[(15yd)(17yd)]^2}[/tex][tex]-(17)^4[/tex]
As you can see this is long. I'll just jump to the answer.
Answer: [tex]660yd^3[/tex]
Answer:
He is correct
Step-by-step explanation:
If f(x) = -2x + 3 and g(x) = 2x + 3; solve for f(3) + g(7)
Answer:
You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!
which one would you choose and please explain why
a set of computers that are connected together so that they can share information
Answer:
A computer network
Step-by-step explanation:
Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.
Answer:
[tex]73\%[/tex]
Step-by-step explanation:
Given: Present weight of Caleb’s puppy = 2,250 grams
Puppy weighed 600 grams at his last visit to the veterinarian’s office.
To find: percent increase in the puppy’s weight rounded to the nearest whole number
Solution:
Increase in puppy's weight = 2250 - 600 = 1650 grams
Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]
[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]
The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation.
i need these two questions!!!
i need help on this question
Answer:
the first one
Step-by-step explanation:
Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?
Answer:
1,616.60
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Step-by-step explanation:
Junior is using estimating to Find the product of 6752x36 by rounding 6752 to the nearest thousands and 36 to the nearest tens what estimate does junior make
Answer:
7000*40=280000
Step-by-step explanation:6752 rounded to nearest thousands is 7000 and 36 rounded is 40
Answer:
280,000
Step-by-step explanation:
I need help please help
Answer:
a) 60 times
b) 0.24
c) 150 times
Step-by-step explanation:
PLEASE HELP !!! ASAP
Alexa has 2 hours of reading to complete over the weekend. She wants to break up her reading time into 1/2 hour blocks. How many times will she read over the weekend?
All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.
1/2 = 0.5
Divide.
2 / 0.5 = 4
Therefore, Alexa will read 4 times over the weekend.
Best of Luck!
Answer:
4 times
Step-by-step explanation:
1 / 2 = 0.5
2 / 0.5 = 4
A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long. How much gas, in cubic feet, can fit in the tank?
Answer:
[tex]6,157.5ft^3[/tex]
Step-by-step explanation:
We are looking for the volume of the tank which has a cylindrical shape.
The volume of a cylinder is given by:
[tex]V=\pi r^2 h[/tex]
where r is the radius of the circular base and h is the height.
In this case we have:
diameter: [tex]d=14 ft[/tex]
and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]
also the height is: [tex]h=40ft[/tex]
we substitute these values into the equation to find the volume:
[tex]V=(3.1516)(7ft)^2(40ft)[/tex]
solving the expression:
[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]
the tank can fit [tex]6,157.5ft^3[/tex] of gas
Amount of gas filled in tank is 6,154.4 feet³
Volume of cylinders:Given that;
Diameter of cylindrical tank = 14 feet
Length of cylindrical tank = 40 feet
Find:
Amount of gas filled in tank
Computation:
Diameter of cylindrical tank = 14 feet
Radius of cylindrical tank = 14 / 2 = 7 feet
Amount of gas filled in tank = Volume of tank
Amount of gas filled in tank = πr²h
Amount of gas filled in tank = (3.14)(7)²(40)
Amount of gas filled in tank = (3.14)(49)(40)
Amount of gas filled in tank = 6,154.4 feet³
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A sphere has a radius of 6. Using 3.14 for pi, what is the volume?
Answer:
v= 904.78
Step-by-step explanation:
Answer:
904.77868423386 feet^3
Step-by-step explanation:
Step one the formula is 4/3 Pie R ^3
Step two you do 4/3 x PI x 6^3
Step three do exponents first so 6x6x6=216
Step four multiply 4/3 x 3.14 which equals 4.187
Step four finally you are going to multiply 216 by 4.187 to get 904.77868423386 feet^3
Please help I will give Brainliest please. Just tell what I need to do or solve I need help ASAP *image*
Answer:
Step-by-step explanation:
Hard to figure out huh
Find the mean of the numbers below.
5, 10, 15, 20, 1, 2, 2, 1
Answer:
7
Step-by-step explanation:
used a calculator
Find all roots of y=x^3-64
Answer:
x = -4i and x = 4i, also x = 4
Step-by-step explanation:
Rewrite y = x^3-64 as y = x^3 - 64. This can again be rewritten, this time as:
y = (x - 4)(x^2 + 16).
Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and
x^2 + 16), which has two unequal, imaginary roots: x = -4i and x = 4i.
help me pls working on quizizz :(
here your answer mate
3.25
hope it helps ☺️✌️
Answer:
3.25
Step-by-step explanation:
16/13 = 4/r
16 × r = 13 × 4
16r = 52
r = 52/16 = 3.25
What is the volume of the sphere?
Answer:
V = 523.5987756 Cubic in.
Step-by-step explanation:
The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)
In this case: V = 4 * π * (41.6667)
V = 4 * 130.8996939
V = 523.5987756 cubic inches.
Hope this helps =)
Answer: C
Step-by-step explanation:
5 is the diameter so 2.5 has to be the radius.
The volume of sphere is v=4/3* π *r^3
v= 4/3 * 3.14 * 2.5^3
v= 65.4
Two less than four times a number is less than thirty. Which inequality can be used to find the solution?
Answer:
(4×n)-2<30
Step-by-step explanation:
4xn is 4 times a number
two less= -2
LESS THAN 30, is <
The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given statement is that two less than four times a number is less than thirty.
Let the unknown number be x.
Four times a number is 4x.
Two less than four times a number is 4x - 2.
Two less than four times a number is less than thirty is 4x - 2 < 30.
4x - 2 < 30
Adding both sides with 2,
4x < 32
Dividing both sides by 4,
x < 8
Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.
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Please help me it’s really important to me
What is the value of x in the equation 3-2x=-1.5x?
оооо
-6
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 6
Step-by-step explanation:
In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).
3 - 2x = -1.5x
(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)
-1.5x = 3 - 2x
First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.
0.5x = 3
For our next part here, let's convert 0.5 to a fraction to make life easier for us.
[tex]\frac{1}{2}[/tex]x = 3
When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!
[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)
What we do to one side we must do to another.
x = 3 · 2
x = 6
Our answer is x = 6. Woo!