Answer:
The answer is 9.72 .
Step-by-step explanation:
You can do it by elaborating :
2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)
= 8.00 + 1.6 + 0.12
= 9.72
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.
The double number lines show the ratio of cups to gallons.
64
0
Cups 4+
Gallons +
0
4
How many cups are in 3 gallons?
cups
Answer:
Step-by-step explanation:
The answer is There are 3 gallons
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]
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
Tonya sells make-up part-time. She is paid a monthly commission. She receives 18% for the first $500 she sells and 22% for the balance. She made $356.42 in commission. How much did she sell in make-up?
Answer:
She sold $1,711 in make-up.
Step-by-step explanation:
She sold x.
For the first $500, she gets 18% = 0.18.
For the balance(x - 500), she gets 22% = 0.22.
So her total earnings can be modeled by the following equation:
[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]
[tex]E = 90 + 0.22*(x - 500)[/tex]
She made $356.42 in commission. How much did she sell in make-up?
So
[tex]356.42 = 90 + 0.22*(x - 500)[/tex]
[tex]90 + 0.22x - 110 = 356.42[/tex]
[tex]0.22x = 356.42 + 20[/tex]
[tex]x = \frac{376.42}{0.22}[/tex]
[tex]x = 1711[/tex]
She sold $1,711 in make-up.
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].
To learn more about difference of squares formula
https://brainly.com/question/1973152
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If two pyramids have the same heights what must be true of the pyramids for them to also have the same volume
Answer:
It is possible, but you must first measure the width.
Step-by-step explanation:
It is possible, but you must be sure.
Answer:
they whould need diffrent width and length
Step-by-step explanation:
imagen you have 2 glasses of watter, and they are both 6 inches high. But one glass has a longer width (aka how far backwords). Wich could hold more watter
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
The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF. Work out the angle x
Answer:
x is 31.5°
Step-by-step explanation:
Here, we have each interior angle of a regular octagon = 135°
Each interior angle of a regular pentagon = 108°
Therefore, 135° + 108° + ∡B = 360°
Hence, ∡B = 360° - (135° + 108°) = 117°
Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))
Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB from which we have;
∡x + ∡CFB + 117° = 180°
∴ ∡x + ∡CFB = 180° - 117° = 63°
Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives
2·∡x = 63°
Hence, ∡x = 63°/2 = 31.5°
∡x = 31.5°.
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 is the slope of the line with the equation:
6x + 2y = 8
Answer:
Using the slope-intercept form, the slope is 3 .
Step-by-step explanation:
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
30 POINTS!!
find 10 rational numbers between -2/3 and 2/3
Answer:
Hey! Here is your answer. Hope it helps.
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)
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.
help me fill this out thanks
Answer:
multiply
Step-by-step explanation:
Answer:
[tex]c = 4 \sqrt{3} [/tex]
[tex] \\ [/tex]
Step-by-step explanation:
[tex] \frac{4 \sqrt{3} }{ \sin(60) } = \frac{c}{ \sin(30) } \\ \frac{4 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } = \frac{c}{ \frac{1}{2} } \\ c = \frac{4 \sqrt{3} \times \frac{1}{2} }{ \frac{1}{2} \sqrt{3} } \\ c = \frac{2 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } \\ c = 4\sqrt{3} [/tex]
I need someone to answer this as fast as possible
Answer:
4/8+1/8=5/8
Step-by-step explanation:
Answer:
4/8 + 1/8 = 5/8
Step-by-step explanation:
To be able to add these two fractions, we first need to get a common base. So we can multiply 1/2 by 4 so its base will be 8. When we multiply one part of the fraction, we also need to multiply the top so 4 times 1 equals 4. So 1/2 is changed to 4/8, which we can add to 1/8 and then we get 5/8!
I need help please help
Answer:
a) 60 times
b) 0.24
c) 150 times
Step-by-step explanation:
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!
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
PLEASE HELP !!! ASAP
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:
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
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
A Wallace's giant bee is 1 1/2 inches long. If this bee is four times longer than a worker bee, how
long is the worker bee?
3/8 in.
1/3 in.
1/8 in.
3/10 in.
Answer:
3/8 in.
Step-by-step explanation:
If the giant bee is four times longer than a worker bee, you'd divide the giant bee's length by 4 to get the worker bee's length. 1.5 ÷4=0.375. 0.375 is equivalent to 3/8. So 3/8 in.
6th GRADE MATH:
Noah bought 2.5 kilograms of colored tile chips for a mosaic art project. What is the mass of the chips in grams?
Answer:
2500 grams
Step-by-step explanation:
to go from kilogram to grams, u should multiply the kilograms by 1000 to get the grams
