Answer:
$14 - x = $3
Step-by-step explanation:
$14 - x = $3
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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!
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:
brainly.com/question/22621039
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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]
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
$720
Answer:
770
Step-by-step explanation:
12 month ×60 per month
Plus 50 set up fee
=770
Solve each proportion
Step-by-step explanation:
[tex]thank \: you[/tex]
PLEASE HELPP MEEE I NEED THE ANDWER QUICKKK
20.00$ - a=8.45$
Answer:
a= 11.55
Step-by-step explanation:
If the answer is 8.45, then the variable equals the difference of 20 minus the answer, 8.45
Hope this helps!
can anyone help me please? 63 over 7-2x3
Answer:
Below,...
Step-by-step explanation:
Your equation:
[tex]\frac{63}{7-(2*3)} =\frac{63}{7-6} =\frac{63}{1}=63[/tex]
Hope it helps,... Chow,...!
Write as an algebraic expression five times the sum of a number and 4
Answer:
5(x+4)
Step-by-step explanation:
It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).
If the divisor is 60, what is the least four-digit dividend that would not have a remainder?
Answer:
2400
which is not having any remainder as 2400÷60=40
Step-by-step explanation:
HELP PLZ!Substitute the given values into the formula, and solve for the unknown variable.
A=bh; A = 60, h = 10 what is B
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%.
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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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?
If the mine winch drum diameter is 4,5m, calculate how far the counterweight will lift each single rotation of the drum, use formula C=2πr
Answer:
i have no idea that's why I need ur help
what is the value of x in the equation 11+7x=-17
[tex]\\ \rm\Rrightarrow 11+7x=-17[/tex]
[tex]\\ \rm\Rrightarrow 7x=-7-11[/tex]
[tex]\\ \rm\Rrightarrow 7x=-28[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{-28}{7}[/tex]
[tex]\\ \rm\Rrightarrow x=-4[/tex]
Answer: x = -4
Step-by-step explanation:
Given equation
11 + 7x = -17
Subtract 11 on both sides
11 + 7x - 11 = -17 - 11
7x = -28
Divide 7 on both sides
7x / 7 = -28 / 7
[tex]\boxed{x=-4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The angle,2Θ, lies in the third quadrant such that cos2Θ=-2/5. Determine an exact value for tanΘ . Show your work including any diagrams if you plan to use them. (3 marks)
Answer:
[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]
Step-by-step explanation:
1. Approach
One is given the following information:
[tex]cos(2\theta)=-\frac{2}{5}[/tex]
One can rewrite this as:
[tex]cos(2\theta)=-0.4[/tex]
Also note, the problem says that the angle ([tex]2\theta[/tex]) is found in the third quadrant.
Using the trigonometric identities ([tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]) and ([tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]) one can solve for the values of ([tex]cos(\theta)[/tex]) and ([tex]sin(\theta)[/tex]). After doing so one can use another trigonometric identity ([tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]). Substitute the given information into the ratio and simplify.
2. Solve for [tex](cos(\theta))[/tex]
Use the following identity to solve for ([tex]cos(\theta)[/tex]) when given the value ([tex]cos(2\theta)[/tex]).
[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]
Substitute the given information in and solve for ([tex]cos(\theta)[/tex]).
[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]
[tex]-0.4=2(cos^2(\theta))-1[/tex]
Inverse operations,
[tex]-0.4=2(cos^2(\theta))-1[/tex]
[tex]0.6=2(cos^2(\theta))[/tex]
[tex]0.3=cos^2(\theta)[/tex]
[tex]\sqrt{0.3}=cos(\theta)[/tex]
Since this angle is found in the third quadrant its value is actually:
[tex]cos(\theta)=-\sqrt{0.3}[/tex]
3. Solve for [tex](sin(\theta))[/tex]
Use the other identity to solve for the value of ([tex]sin(\theta)[/tex]) when given the value of ([tex]cos(2\theta)[/tex]).
[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]
Substitute the given information in and solve for ([tex]sin(\theta)[/tex]).
[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]
[tex]-0.4=1-2(sin^2(\theta))[/tex]
Inverse operations,
[tex]-0.4=1-2(sin^2(\theta))[/tex]
[tex]-1.4=-2(sin^2(\theta))[/tex]
[tex]0.7=sin^2(\theta)[/tex]
[tex]\sqrt{0.7}=sin(\theta)[/tex]
Since this angle is found in the third quadrant, its value is actually:
[tex]sin(\theta)=-\sqrt{0.7}[/tex]
4. Solve for [tex](tan(\theta))[/tex]
One can use the following identity to solve for [tex](tan(\theta))[/tex];
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
Substitute the values on just solved for and simplify,
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
[tex]tan(\theta)=\frac{-\sqrt{0.7}}{-\sqrt{0.3}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{0.7}}{\sqrt{0.3}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]
Rationalize the denominator,
[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}*\frac{\sqrt{\frac{3}{`0}}}{\sqrt{\frac{3}{10}}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}*\frac{3}{10}}}{\sqrt{\frac{3}{10}*\frac{3}{10}}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{\frac{21}{100}}}{\frac{3}{10}}[/tex]
[tex]tan(\theta)=\frac{\frac{\sqrt{21}}{10}}{\frac{3}{10}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{21}}{10}*\frac{10}{3}[/tex]
[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]
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]
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.
1. Which of the following is a true statement?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number whose
square root is an even number.
SHOW PROOF
Answer:
C
Step-by-step explanation:
Squaring is multiplying a number by itself
Examples:
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
etc.
Which number is NOT plotted correctly on the number line?
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
guys solve everything or only 2nd one
Answer:
Step-by-step explanation:
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.
whats number 26.
..............................
Answer:
y = 1/3mx + b
Step-by-step explanation:
x = 3(y - b)/m
~Multiply m to both sides
mx = -3b + 3y
~Add 3b to both sides
mx + 3b = 3y
~Divide everything by 3
1/3mx + b = y
y = 1/3mx + b
Best of Luck!
[tex]\\ \rm\longmapsto x=\dfrac{3(y-b)}{m}[/tex]
[tex]\\ \rm\longmapsto mx=3(y-b)[/tex]
[tex]\\ \rm\longmapsto mx=3y-3b[/tex]
[tex]\\ \rm\longmapsto 3y=mx+3b[/tex]
[tex]\\ \rm\longmapsto y=\dfrac{1}{3}mx+b[/tex]
please help angles on a Cartesian plane
Answer:
a) 16/25
b)3/2
Step-by-step explanation:
all explaination is in picturw below
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.
barbara and jeff ate out for dinner the total came to &15.00. they left a 15% tip how much was the tip and the meal together?
Answer:
$17.25
Step-by-step explanation:
The tip is 15% of $15.00, or 0.15 * 15 = $2.25
We add that to the meal's cost, which is $15.00
15.00 + 2.25 = 17.25
write the vertices of each figure
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