Step-by-step explanation:
4(1-3x)+7x-8
4-12x+7x-8
-12x+7x+4-8
-5x-4
Six times a number increased by five is fifty-three. What is the number?
Answer:
8
Step-by-step explanation:
6x+5=53
6x=48
6x/6=48/6
x=8
HELP PLZ!Substitute the given values into the formula, and solve for the unknown variable.
A=bh; A = 60, h = 10 what is B
What is the interest rate when you borrow $600 for 1 year and pay $45.00 interest?
Answer:
Im not certain but I think 7.5% If you get another answer which is different trust them not me if u get one which is the same it should be correct
The interest rate was 7.5% when borrowing $600 for one year and paying $45.00 interest.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
We have been given data as:
Principal (P) = $600
Time (T) = 1 year
Simple interest = $45.00
⇒ Simple interest = P × R × T
Substitute the value of P, and T in the above formula, and solve for R
⇒ 45.00 = 600 × R × 1
⇒ 45.00 = 600R
⇒ R = 45.00/600
⇒ R = 0.075
⇒ R = 7.5/100
⇒ R = 7.5%
Therefore, the interest rate was 7.5%.
Learn more about the simple interest here:
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Help help help help me pls !,!,!,
Answer:
96
Step-by-step explanation:
First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.
There are 8 cupcakes on a plate. Five children will share them equally. How many cupcakes will each child receive? Represent the scenario three ways:
With math vocabulary, as an expression, and as a fraction.
Answer:
Each child will receive eight fifths of the cupcakes.
5x=8 ; x represents how many cupcakes each child receives.
[tex]\frac{8}{5}[/tex]
Step-by-step explanation:
There are 8 cupcakes in total.
5 children.
Divide 8 by 5. [tex]\frac{8}{5}[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
factorize 6(a+1)²+4(a+1)
Answer:
[tex]2(a + 1) \times (3a + 5)[/tex]
Step-by-step explanation:
[tex]6(a + 1 {)}^{2} + 4(a + 1)[/tex]
➡️ [tex]2(a + 1) \times (3(a + 1) + 2)[/tex]
➡️ [tex]2(a + 1) \times (3a + 3 + 2)[/tex]
➡️ [tex]2(a + 1) \times (3a + 5)[/tex]
solve for variable (image attached)
Answer:
x = 2
Step-by-step explanation:
Given
[tex]\frac{3(6x+8)}{4}[/tex] = 15 ( multiply both sides by 4 to clear the fraction )
3(6x + 8) = 60 ( divide both sides by 3 )
6x + 8 = 20 ( subtract 8 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
The value of x in the equation is 2
The equation given :
3(6x + 8) / 4 = 15
Multiply both sides by 4
3(6x + 8) = 15 × 4
3(6x + 8) = 60
Open the bracket
18x + 24 = 60
18x = 60 - 24
18x = 36
x = 36/18
x = 2
The value of x in the equation is 2
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An article is sold for Rs 500 at 25% gain. If an article is sold for Rs.250. What is loss percentage?
Answer:
The loss percentage is 37.5%
Step-by-step explanation:
Cost Price = 500 × 100/125 = 400
New selling price = Rs. 250 ⇒ Loss = 400 – 250 = 150
Loss percentage = 100 × 150/400 = 37.5%.
In the figure
AB = AD, BC = CD
prove that ∠ABC = ∠ADC
AB = AD [Given]
BC = CD [Given]
AC = AC [Same line segment]
So, ΔABC ≅ ΔADC [By SSS congruence criteria]
So, ∠ABC = ∠ADC [CPCT (Corresponding parts of congruent triangles)]
Hence, proved.
Answer:
I hope it will help U.
Can someone plz help me it’s my last question plz (question 2)
Answer:45 ish
Step-by-step explanation:
Sarah ran 4 7/8miles, then walked 1 11/12 miles.
Find the total distance she traveled.
Answer:
6 19 /24
Step-by-step explanation:
find the lcd and add
all the number sets that apply to -4/5
-8/10,-12/15,-16/20,-20/25,-24/30,etc.
The number sets that apply to -4/5 is the fractions.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now the given number is,
-4/5
-4/5 is a fraction. A fraction has two components numerator and denominator. This can positive or negative. Other example of fractions include 1/2,3/2,-5/2,-1/3.
The numbers who are not fractions are 0, 3, 6, 7.7.
Thus, the number sets that apply to -4/5 is the fractions.
To learn more about fractions:
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To mail a package, a customer must determine the volume of the package to get the postage price. If a
package were a cube with side 12 inches, which of the following expressions would a customer use to
determine the volume? (The volume of a cube with edges of length s is s^3.)
12x3
12x4
12^3
square root of 12
Answer:
12^3
Step-by-step explanation:
The volume of a cube is the length of it's size raised to the power 3, so if the length is 12, the volume will be 12³ or 12^3
please help angles on a Cartesian plane
Answer:
a) 16/25
b)3/2
Step-by-step explanation:
all explaination is in picturw below
guys solve everything or only 2nd one
Answer:
Step-by-step explanation:
d) The shadow of a vertical tower on a level ground increases by 10m, when the altitude of sum changes from angle of elevation 45° to 30°. Find the height of the towe correct to one place of decimal. (Take root 3 = 1.732)
Help As soon as possible please with picture please
Answer:
Below.
Step-by-step explanation:
I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.
Tan 30 = h/ (x + 10)
tan 45 = h/x where h is the height of the tower.
From the second equation x = h / tan45
Substituting in the first equation;
tan30 = h / (h/tan45 + 10
Tan 30 = 1/ √3 and tan 45 = 1 so
1/ 1.732 = h/ (h + 10)
0.5774 = h/(h + 10)
h = 0.5774h + 57.74
0.4226 h = 57.74
h = 136.6 m to nearest tenth.
Solve each proportion
Step-by-step explanation:
[tex]thank \: you[/tex]
write the vertices of each figure
can u solve it? what is5/7+4/5=?
please tell me this is homework for 8th grade bc i am in 8th so plz help me im not very good at math
Step-by-step explanation:
5/7+4/5
LCM of 5,7 is 35
So,
25+28/35
53/35
Answer:
53/35
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Solve the inequality.
|3x + 7| <4
Answer:
[tex]-\frac{11}{3} \leq x\leq -1[/tex]
Hope this helps!! <3
Janelle is shopping around for the best cell phone plan. The best company is offering a $50 set up fee plus $60 per month. If the contract is for one year, how much will Janelle end up paying after one year?
$650
None of these choices are correct.
$770
$700
$720
Answer:
770
Step-by-step explanation:
12 month ×60 per month
Plus 50 set up fee
=770
Evaluate the expression if m =
-4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.
|16+4(3q + p)|
Answer:
720
Step-by-step explanation:
|16+4(3(-6)+(2)|
|20(-18*2)|
|20*-36|
|-720|
720
Step-by-step explanation:
[tex] |16 + 4(3q + p)| \\ p = 2 \\ q = - 6 \\ then \\ = |16 + 4(3 \times - 6 + 2)| \\ = |16 + 4( - 18 + 2)| \\ = |16 + 4( - 16)| \\ |16 + - 64| \\ = | - 48| \\ take \: out \: side \: of \: mode \: then \: it \: become \: = 48 \\ \\ thank \: you[/tex]
It takes 6 boys 15 days to clean a field on a small plot. How long will it take 8 boys?Show Calculations Please
Step-by-step explanation:
so it take 20 days for 8 boys
Answer:
8 boys is 20 days
Step-by-step explanation:
[tex]6 \: boys \: : \: 15 \: days \\ 8 \: boys \: : x \: days \\ 8 \times 15 = 6x \\ \frac{120}{6} = x \\ x = 20 \: days[/tex]
hope this makes sense
:)
ASAP PLS
The soda shop has 11 flavors of soda, 2 kinds of fruit syrup, and 6 sweeteners. How many different sodas can be made with one flavor of soda, one fruit syrup, and one sweetener?
A square has a side length of 21 + 11s. Select TWO equivalent
expressions that can be used to find the perimeter of the square.
PLEASE HURRY!!!
Answer:
I choose option c hope it helps
It's geometry I need help
Answer:
39
Step-by-step explanation:
G is the midpoint of the line FH, FH=2*GH. 9x+15=10x+8, x=7, FG=39
If you were a member of water supply OR flood emergency department and you had foreseen a situation where a river near your city would cause flooding in the monsoon season. What would be your plan of action to save the city from flooding?
plz guys answer this
Answer:
I would first tell people to evacuate
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=-3
Step-by-step explanation:
-4(-2x+5)-5x+5=-24
8x-20-5x+5=-24
3x-15=-24
3x=-9
x=-3
I hope that this helped you!
What is 1,025 divided by 68 full explanation
Answer:
15.1 (rounded to the nearest tenth decimal point)
Step-by-step explanation:
The explanation is, this is simple maths, nothing else. Let me know if it helps. Thank you
make sense of this. PLSSSS 15 POINTSSSSS
==================================================
Explanation:
The volume is 296 cm^3 and the height of the box is 8 cm
The area of the top is 296/8 = 37 cm^2. I'm using the idea that
volume of box = (area of base)*(height)
--------------------
The area of the top is 37 cm^2. Apply the square root to get sqrt(37) = 6.08276 cm which is the approximate length of each side along the top. This only works if the top is a square.
Multiply this by 4 to get 4*6.08276 = 24.33104
The perimeter along the top is roughly 24.33 cm
--------------------
The next task we have to do is convert from inches to centimeters
Multiply by 2.54 to do this.
24 & 1/4 inches = 24 + 1/4 = 24 + 0.25 = 24.25 inches
24.25 * 2.54 = 61.595 cm
The measurement 24 & 1/4 inches converts to about 61.595 cm
This means Adam has about 61.595 cm of ribbon
--------------------
To recap, we found these two facts:
The perimeter of the top is about 24.33 cmAdam has roughly 61.595 cm of ribbonSince the amount he has (61.595) exceeds the perimeter (24.33), this means he does have enough ribbon.
In fact, he has enough ribbon to do 2 boxes because 61.595/24.33 = 2.53 approximately and that rounds down to 2. We don't round to 3 even though we're closer to it.
