Question:
Which expressions are equivalent to ½ + 3c + ⅘.
Check all that apply.
Answer:
½ + 3c + ⅘ is equivalent to
1. ⅒(30c + 13)
2. 3c + 13/10
Step-by-step explanation:
The options are not well presented.
However, I'll give simplify the given expression in the question above.
Given: ½ + 3c + ⅘.
Required: Simplify
We start by collecting like terms
3c + ½ + ⅘
From this point, the expression can be solved in two ways
1. Solve fractions
This gives [Find LCM]
3c + (5 + 8)/10
3c + 13/10
3c + ⅒(13)
This can still be solved further [Find LCM]
(30c + 13)/10
⅒(30c + 13)
Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.
2. Convert fractions to decimal
½ + 3c + ⅘ becomes
0.5 + 3c + 0.8
Collect like terms
3c + 0.5 + 0.8
3c + 1.3
Convert decimal to fraction
3c + 13/10
3c + ⅒(13)
This can still be solved further [Find LCM]
(30c + 13)/10
⅒(30c + 13)
Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.
This is as far as the expression can be evaluated
Answer:
1,3.and 5
Step-by-step explanation:
What 2 numbers that multiply to make 7 and add to 6
Answer:1 and 6
Step-by-step explanation:1 x 6 = 6
1 + (6) = 7
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 + 7x + 6 = 0
If so, the solution to factor the quadratic equation above is:
(X + 1 ) (X + 6)
To summarize, since 1 and 6 multiply to 6 and add up 7, you know that the following is true:
x2 + 7x + 6 = (X + 1 ) (X + 6)
Correct Answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
$12000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 40000 × 15/100 × 2
I = $12000
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:
j = g + 12
if we solve for g:
g = j - 12
which is the same as saying that Gus made 12 number of engine less than Jessie
Answer:
g = x - 12
where x is the number of axles installed by Jessie
Step-by-step explanation:
Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.
As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,
x = g + 12
Such that
g = x - 12
find the value of x in the following..... 3^x = 8
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
Which equation can be used to find the unknown length, a, in this triangle?
You need more information. Maybe a picture?
Answer:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
Step-by-step explanation:
PLZ HELP ME I DON'T WANNA FAIL THIS
Answer
Step-by-step explanation:
sentence 3 does not use a correct verb.
A daycare center charges $300 per month for preschool and $3.50 per hour every hour after preschool. The function c = 300 + 3.50h can be used to represent the total cost c of monthly preschool and childcare, where h is the number of hours spent in childcare after preschool. If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool? *
Answer:
The total number of hours the child spent in childcare after preschool was 96.5.
Step-by-step explanation:
The cost of the preschool, in function of the number of hours that the child spent there, is given by the following equation:
[tex]c(h) = 300 + 3.5h[/tex]
If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool?
This is h when c(h) = 637.75. So
[tex]c(h) = 300 + 3.5h[/tex]
[tex]637.75 = 300 + 3.5h[/tex]
[tex]3.5h = 337.75[/tex]
[tex]h = \frac{337.75}{3.5}[/tex]
[tex]h = 96.5[/tex]
The total number of hours the child spent in childcare after preschool was 96.5.
Ben decided to invest his savings into a friends local business if he invests 1,750 at an annual interest rate of 6.4% how much interest will he earn in 4 years
Answer:
He will earn an interest of $448 in 4 years
Step-by-step explanation:
In this question, we are interested in calculating the interest earned on an investment for a period of 4 years.
To calculate this interest, we shall be using the formula for simple interest but with slight difference in terms definition
Mathematically;
I = PRT/100
Where ;
P is the amount invested which is $1,750 according to the question
R is the interest rate which is 6.4%
T is the time which is equal to 4 years
Plugging these figures, we have
I = (1,750 * 6.4 * 4)/100 = 44,800/100 = $448
The radius of a circle is 6mm. What is the area of the shaded portion of the circle.
The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Area of a sectorFrom the question, we are to determine the area of the shaded portion.
The shaded portion in the circle is the major sector.
The area of a sector is given by the formula,
[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]
Where [tex]\theta[/tex] is the angle subtended by the sector
and r is the radius of the circle.
From the given information,
r = 6 mm
and [tex]\theta[/tex] is the angle subtended by the major sector
Therefore
[tex]\theta = 360^\circ - 70^\circ[/tex]
[tex]\theta = 290^\circ[/tex]
Putting the parameters into the formula, we get
[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]
Simplifying
[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]
Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Lear more on area of a sector here: https://brainly.com/question/10090807
Si al numerador de una fraccion se añade 5, el valor de la fraccion es 2, y si al numerador se resta 2, al valor de la fraccion es 1.Hallar la fraccion.
Answer:
Respuesta.- La fracción es 9/7
Step-by-step explanation:
1) Llamando X e Y a la fracción, tenemos: X/Y
Si al numerador se le añade 5, es decir X+5, el valor de la fracción es 2, luego:
(X+5)/Y = 2
Y si al numerador se le resta 2, es decir X-2, el valor de la fracción es 1, luego:
(X-2)/Y = 1
Juntando amabas ecuaciones:
(X+5)/Y= 2
(X-2)/Y = 1
Despejando Y en ambas:
Y = (X+5)/2
Y = (X-2)..........(1)
Igualandolas:
(X+5)/2= (X-2)
De donde:
X+5 = 2X-4
X = 9
Y finalmente, sustituyendo el valor de X = 9 en la ecuaión (1), tendremos:
Y = (X-2)
Y = (9-2)
Y = 7
Respuesta.- La fracción es 9/7
Find the area of the shaded regions:
Answer:
You are gonna need to gimme that shaded area
Step-by-step explanation:
I cant do it without them
Answer:
144
Step-by-step explanation:
72 the 72 it equals it and plus they are adjacent
Trace a pattern block. Divide it into two equal parts, and write a unit fraction to describe the area of each part. Explain your work.
Answer:
1/2
Step-by-step explanation:
The unit fraction for an area (or anything, for that matter) divided into 2 parts so the area of each one is equal to each other and be a haft of the original block. Please have a look at the attached photo.
Simplify the expression:
5k + 7 + 10
Answer:
5k+17
Step-by-step explanation:
Combine like terms. Like terms are terms such as 10 and 7. Some caome with variables, such as 5k and 6k. 10+7 is 17. Since you can't combine unlike terms, the expression becomes 5k+17.
Consider rectangle ABCD with diagonals BD and AC
intersecting at
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and 2 CED are vertical angles and equal
76
ZABE and 2 CBE are complementary angles,
BEC and CED are vertical angles,
-------
BEA and AED are supplementary angles
whose sum is 180°
O
BEC and
AED are adjacent angles,
Answer:
BEA and AED are supplementary angles whose sum is 180°
Step-by-step explanation:
complete question is:
Consider rectangle ABCD with diagonals BD and AC intersecting at E.
Which is true about the angle relationships in the rectangle? Check all that apply.
BEA and 2×CED are vertical angles and equal 76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles whose sum is 180° BEC and AED are adjacent angles,Answer:
it is abd
Step-by-step explanation:
Can you pleasee help me with the Screenshot Below its Overdue.
Answer:
what grade is this its and your answer is
Step-by-step explanation:
13/5 63/1 A = X
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:
Mabel is the costume manager for a large theater company. She has 20 different hats,
including 4 pork pie hats.
What is the probability that a randomly chosen hat from Mabel's inventory will be a pork pie
hat?
Write your answer as a fraction or whole number.
P(pork pie hat) =
Submit
Answer:
4/20 or 1/5 being simplified
Step-by-step explanation:
Grade 7 . Pre-Assessment
4. David has a total of 72 game cards in his collection. A friend gave him 27 of the
cards. David purchased the rest of the cards in packages of 9 at the store.
How many packages of cards did David purchase?
A. 6
B. 5
C. 4
D. 3
Solve. - 5 3/4 - 3 1/2
Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form: −37/4
Step-by-step explanation:
easy geometric shapes questions help please! they go together
7.solution
v=4/3πr^3
=4/3π×6^3
=4/3×216cm^3π
=288cm^3π
8.solution
SA=4πr^2
=4×6^2π
=4×36cm^2π
=144cm^2π
I need help with question number 3
Hey there! I'd be delighted to help you out!
First, let's write down our expression!
[tex](x^2-x)+(8x-2x^2)[/tex]
When we look at this expression, we see that all of the numbers are terms, or numbers that are added. We have four terms in this equation, which are:
[tex]x^2, -x, 8x, -2x^2[/tex]
Now, to simplify, we want to combine like terms. Like terms are numbers that have the same variable (or no variable) and are raised to the same power. 1 and 5 are like terms because they both have no variable and they are both raised to the power of 1 (any number that is itself is raised to this power). 4x and 12x are like terms because they both have an x and a power of 1. 4y and 5x are not like terms because they have different variables. 4x³ and 2x² are not like terms because they are raised to different powers.
Now, we see that with our numbers, x² and -2x² are like terms, and -x and 8x are also like terms. We can combine accordingly.
[tex]x^2-2x^2=-x^2\\\\-x+8x=7x[/tex]
Now we combine to get our simplified expression!
[tex]-x^2+7x[/tex]
I hope that this helps! Have a wonderful day!
if the population is growing by 17% you will use 1.17 as your rate in the equation true or false
Answer:
False. 0.17
Step-by-step explanation:
The repairmen are fixing 9 cars 2 motorcycle and 6 trucks what is the ratio of cars to motorcycle?
Answer:
9:2
Step-by-step explanation:
Put in what we know
cars: motorcycles
9 2
4/x - 3/y = 1 ............(1)
6/x + 15/y = 8 ........(2)
Answer:
1. No x-intercept/Zero
2. x = 3/4
Step-by-step explanation:
.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]
2. Area for wheat
[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]
3.Area for olive trees
[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?
Answer:
49/20 miles or 2.45 miles
Step-by-step explanation:
LCM(1,2,3,4,5,6,)=60
10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45
Find the length of the third side to the nearest tenth.
Answer:
What’s the third length?..
Step-by-step explanation:
Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?
Answer: 40 feet
Step-by-step explanation: Volume = length * width * height
then substitute Volume = 2 * 4 * 5
multiply Volume = 8 * 5
multiply again Volume = 40
hope this helps mark me brainliest if it did have a great day
There are 125 sheep and 5 dogs in a flock how old is the shepherd?
Answer:
25 years old
hope this helps
~savannah:))
If there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
The number of sheeps are 125
One hundred twenty five
The number of dogs are 5
Five.
We need to find how old is the shepherd
To find this we just need to divide one hundred twenty five by five
125/5
25
Hence, if there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ5
I NEED HELP FAST, 20 POINTS
Which of the following fractions is not equivalent to 2?
1 4/4
10/5
3/6
2/1
Answer:
The 1st one 1 4/4 and the 3rd one 3/6
Step-by-step explanation:
10/5=2
2/1=2
