Answer:
The greatest length in feet the twines can be cut into with no twine left over is 4 feet
Step-by-step explanation:
To determine the greatest length a 20 feet long twine and a 12 feet long twine can be cut into such that the pieces are of the same length and no twine is left over, we will find the highest number that can be used to divide 20 and 12 with no remainder. Hence, we will find the Highest common factor (HCF) of 20 and 12.
Factors of 20 are: 1,2,4,5,10, and 20
and the factors of 12 are: 1,2,3,4,6, and 12
The highest common factors of 20 and 12 is 4.
Hence, the greatest length in feet the twines can be cut into with no twine left over is 4 feet.
you invest 10,000 dollars into two accounts, one earning 5% interest and the other earning 8% interest. If the total annual interest earned is 590 dollars, how much do you invest into each account? PLZ SHOW WORK
Answer:
$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account
Step-by-step explanation:
Let the amount invested in first account be $x while the amount for second account is $y
Mathematically;
x + y = 10,000 •••••••••(i)
Interest on first account
= 14% of x = 14/100 * x
Interest on second account
= 8% of y= 8/100 * y
Adding all together will give total
14/100 * x + 8/100 * y = 1238
Multiply through by 100
14x + 8y = 123800 •••••••(ii)
From equation 1, x = 10,000 - y
Insert this into second equation
14(10,000-y) + 8y = 123,800
140,000 - 14y + 8y = 123,800
140,000 - 6y = 123,800
6y = 140,000 - 123,800
6y = 16,200
y = 16,200/6
y = $2,700
Recall
x + y = 10,000
x = 10000 - y
x = 10,000 - 2,700
x = $7,300
Step-by-step explanation:
Hope this helps :)
WILL GIVE BRAINLIEST TO WHOEVER GIVES BEST ANSWER!!!!
Simplify an expression for the area of the rectangle shown.
( answer choices shown in image )
Answer: 40x + 15
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT. THANKYOU.
How many 1/2 -cup can you make from 5 gallons of yogurt?
Answer:
There are 160 1/2 cups in 5 gallons.
Answer:
32 1/2
Step-by-step explanation:
An angle's measure is 10 less than 4 times its complement. Find the measure of the angle.
WILL GIVE BRAINLIEST
Answer:
I think the answer is 6 so if wrong
Answer:
nope...
Step-by-step explanation:
A high school club is conducting a cupcake sale at a local fair to raise money for a trip. The club members
are baking a total of 444 cupcakes. Each cupcake will sell for $3.00. The display tables cost $75.00 to rent.
What is a possible domain and range for this situation?
Answer:
{444, 1332}
Step-by-step explanation: 444 cupcakes for $3 each (1332)
Answer:
{444, 1332}
Step-by-step explanation: 444 cupcakes for $3 each (1332)
Step-by-step explanation:
Line e has a slope of -8/3 line f is perpendicular to e what is the slope of line f
Answer: The slope is -3/8
Step-by-step explanation: This is actually a LOT simpler than it seems. Just remember, perpendicular line intersect at right angles, therefore their slopes are the exact opposite. The opposite, or reciprocal, of -8/3 is 3/8. While I was learning this, one tool that helped me to check my answers was desmos. Check it out if you haven't used it before.
topic 1 performance task. Part A: Error Analysis
Please help me.
Answer:
10^14
Step-by-step explanation:
10^11 * 10^3 = 10 ^ (11+3) = 10^14
Jerry’s monthly salary was $3,050 last year. This year his monthly salary is $3,350. What percent increase in salary did Jerry receive?
Answer:
Increase of 9.3%
Step-by-step explanation:
Hence, the percent increase in salary did Jerry receive is [tex]4.68[/tex]%.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Here given that,
Jerry’s monthly salary was $[tex]3,050[/tex] last year. This year his monthly salary is $[tex]3,350[/tex].
His monthly salary in last year is $ [tex]3050[/tex].
In this year his salary is $[tex]3350[/tex].
So, the increase in salary is
[tex]3350-3050=300[/tex]
And the overal salary is $ [tex]3050+3350=6400[/tex]
So, the percent increase in salary did Jerry receive is
[tex]\frac{300}{6400}[/tex] × [tex]100=4.68[/tex]
Hence, the percent increase in salary did Jerry receive is [tex]4.68[/tex]%.
To know more about the percentage
https://brainly.com/question/13244100
#SPJ2
solve for f.
f - 518 = -147
f = ?
please help
Answer:
f = 371
Step-by-step explanation:
Just add 518 to both sides this dumb easy
The proof that UX ≅ SV is shown.
Given: △STU an equilateral triangle
∠TXU ≅ ∠TVS
Prove: UX ≅ SV
Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.
What is the missing statement in the proof?
Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV
Answer:
making it very simple it is D Edge 2021
Step-by-step explanation:
The correct option is △ TUX ≅ △ TSV
What is CPCTC?CPCTC stands for "corresponding parts of congruent triangles are congruent" and tells us if two or more triangles are congruent, then their corresponding angles and sides are congruent as well.
Given that, △STU an equilateral triangle and ∠TXU ≅ ∠ TVS, and UX ≅ SV by CPCTC so,
∠TXU ≅ ∠TVS → given
∠STV ≅ ∠UTX → reflex. prop.
△STU is an equilateral triangle → given
ST ≅ UT → sides of an equilat. △ are ≅
△ TUX ≅ △ TSV by AAS rule
UX ≅ SV by CPCTC
According to the given proof, the only option fitting is option D.
Hence, The correct option is △ TUX ≅ △ TSV
For more references on CPCTC, click;
https://brainly.com/question/14361320
#SPJ6
(9
Simplify. 5/4 • 6/25 + 6/5
Answer:
Exact Form:
3/2
Decimal Form:
1.5
Mixed Number Form:
1 1/2
Answer:
5/4*6/25+6/5=1.5
how is a good question
5/4=1.25
6/25=0.24
6/5=1.2
so...
1.25*0.24+1.2=1.5
Please help quick i’ll mark brainliest
Answer:
[tex] \triangle \: A'B'C' \: will \: have : \\ \angle \: A' \: at \: point \: ( - 1 ,\: 1). \\ \angle \: B' \: at \: point \: ( 1,\: 3). \\ \angle \: C' \: at \: point \: ( - 3 ,\: 3).[/tex]
A jacket originally cost $30.75. It went on sale for 20% off the original price. What was the discount on the jacket?
Answer:
$24.60
Step-by-step explanation:
First, you need to find 20% of $30.75.
To do this, we need to divide $30.75 by 5.
20% og $30.75 is $6.15.
$30.75 - $6.15 = $24.60
I hope that this helps! :)
Suzy wants to save money so she can buy a new car in five years. If she puts $400 a month into a savings account with a 6% annual interest rate, calculate the total savings she will have saved after the five years. Please show your math. I’ve started you on the right track.
- 3/5 - ( -2/5 ) = ?
Answer:
Step-by-step explanation:
3/5 is .6
2/5 is .4
-.6+.4 is -.2 or
-3/5+2/5
-1/5
A tree was 60 inches tall. Three years later it was 105 inches tall. What was the present increase the nearest hundredth, of the height of the tree?
Answer:
75%
Step-by-step explanation:
yep
Answer:
63% im pretty sure :)
Step-by-step explanation:
What is the focus and directrix of a parabola?
Answer:
Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).
Step-by-step explanation:
hope this helps
Crown me as brainliest:)
Question 5 of 5
Which relation is not a function?
Answer:
Step-by-step explanation:
I think its c
solve the equation 7x-3(x-1)=2(2x+3)
Answer:
no solutions
Step-by-step explanation:
7x-3(x-1)=2(2x+3)
7x-3x+3=4x+6
4x+3=4x+6
3=6
no solutions
Answer:
No solution
Step-by-step explanation:
16x + 2x2•y-1
HELPP PLEASE !!
Answer:
1+4*y-1. simplified version :4y-3.
Step-by-step explanation: Also, I didn't know if you wanted it simplified.
Sue bought a $40 dress and a shirt. She spent $65 altogether. How much was the shirt? Let c = the cost of the shirt.
Answer:
$25
Step-by-step explanation:
$40 + c = $65
65-40 = c
25 = c
Answer:
25
Step-by-step explanation:
40+c=65 isolate the c by subtracting 40 from both sides and you're left with 25. hope this helps
Please do this for a brainliest
Answer:
-2,-1
Step-by-step explanation:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Answer:
it is -2,-1 to solve the problem take the original point and go over the x-axis to the same part but opposite side ( I hope u understand what I am saying =/
Step-by-step explanation:
first graph the original point and then reflect it across the axis you know your answer is correct if it is an equal amount of spaces from the original point or if when you fold the graph the points are lined up (hope this helps)
18)
18) Your bank account has $58 in it when you write checks for $53, 545, and $59. You then
deposit $20 and $38. How much is in the account? Are you overdrawn?
Answer:
Yes you are overdrawn
Step-by-step explanation:
you only had $116 but wrote checks for $657
Answer:
Step-by-step explanation:
53+545+59 =637-58+58
= -637 overdrawn
Bart can type 296 words in 8 minutes. What is his unit rate
Answer:
37
Step-by-step explanation:
296 ÷ 8 = 37
Sorry I couldn't explain more, but I hope this helps!
Answer:
The unit rate is 37 words per minute.
Step-by-step explanation:
296 divided by 8 is 37
How much change would be returned from a $50.00 bill for the purchase of 25 stainless steel bolts at the price of 89 cents each?
Answer:
27.75 is the answer
Step-by-step explanation:
25×89 2,225 = 22.25 50-22.25 is equal to 27.75
math math math math answer
Answer:
It is rectangle.
Answer:
Rectangle
Step-by-step explanation:
All squares are rectangles.
This sign gives facts about Community Park.
Study the sign carefully. Then, use the drop down menus to complete the statement
about the sign
Welcome to Comunity Pand
CLEAR
CHECA
It
make sense to add the items on the list because these quantities
unit. The number 2,007.04
have meaning for the park.
be expressed using the same
Answer:
Step-by-step explanation:
Does can does
Answer:
does not cannot does not
Step-by-step explanation:
Which pairs of points would result in a line with a rate of change of 2.1? Select all that apply.
A. (-4,11) and (-2,7)
B. (5, 6) and (-5, 12)
C. (0,3) and (-4,11)
D. (0, – 3) and (5, 7)
Answer: A, C and D
Step-by-step explanation:
Let us find the slope(rate of change ) of each pair of points
The slope formula is
Plug in the points (− 4 ,− 11 ) and (-2 , − 7) to get;
The rate of change of this pair 2:1
For B part, we plug the points ( 5 , 6 ) and ( − 5 , 12 )
The rate of change is NOT 2:1
For part C, we plug in ( 0 , − 3 ) and ( − 4 , − 11 )
The rate of change of this pair is also 2:1
For part D, we plug in (0 , − 3) and ( 5 , 7 )
This also has rate of change to be 2:1
find the circumference and area of a circle of radius 4.2cm. plz help me today is a due date.
Answer:
The circumference of the circle is 26.4 cm
The area of the circle is 55.44 cm²
Step-by-step explanation:
The circumference of the circle C = 2πr
The area of the circle A = πr²
r is the radius of the circle
∵ r = 4.2 cm
→ Substitute it in the first rule to find the circumference
∵ C = 2πr
∵ π = [tex]\frac{22}{7}[/tex]
∴ C = 2 × [tex]\frac{22}{7}[/tex] × 4.2
∴ C = 26.4 cm
∴ The circumference of the circle is 26.4 cm
∵ A = πr²
∵ r = 4.2 cm
∵ π = [tex]\frac{22}{7}[/tex]
→ Substitute them in the second rule to find the area
∵ A = [tex]\frac{22}{7}[/tex] × (4.2)²
∴ A = 55.44 cm²
∴ The area of the circle is 55.44 cm²
Wellington never paid attention in school when teachers taught math and he never truly understood how to manage his money. He is now an adult and does not have any real skills so lets find out what happened to his money. He made $2400 dollars but after federal and state taxes, social security, and health insurance there are $550 that are automatically taken out. Then he must pay his rent which is $1,000. Then he must pay his car note and insurance which come up to $700. He has to divide the remaining total up equally and make it last for 15 days. How much will he have to spend on each of those 15 days?
Answer:
$10
Step-by-step explanation:
Total amount earned = $2400
Less: federal and state taxes, social security, and health insurance = $550
Balance = $2400 - $550
=$1,850
Less : Rent = $1,000
Balance = $1,850 - $1,000
= $850
Less: insurance = $700
Balance = $850 - $700
= $150
He has to divide the remaining total up equally and make it last for 15 days
Amount to spend per day = $150 / 15 days
= $10 per day