Answer:
First write the given equation[tex]{:}\longrightarrow\tt 12t +2 (t-5)=60 [/tex]
Simplify[tex]{:}\longrightarrow\tt 12t+2t-10=60 [/tex]
[tex]{:}\longrightarrow\tt 14t-10=60 [/tex]
[tex]{:}\longrightarrow\tt 14t=60+10 [/tex]
[tex]{:}\longrightarrow\tt 14t=70 [/tex]
[tex]{:}\longrightarrow\tt t=\cancel{\dfrac {70}{14}}[/tex]
[tex]{:}\longrightarrow\tt t=5 [/tex]
[tex]\therefore\sf t=5 [/tex]
What is the answer to 6and 7
Answer:
It might just be me but the pic is super blurry could you possibly get a better one?
Step-by-step explanation:
Hi, i need help Pleases.
Answer:
Here the answer to your question
Step-by-step explanation:
What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The measures of other angles are (x+17⁰) and (4x-34⁰).
x=17
step-by-step Explanation:-[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]
This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.
Solution:-Given angles
(6x+10°)(x+17°)(4x-34)°According to sum theory
[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]
Substitute the values[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]
Remove brackets[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]
Together like polynomials and constants[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]
[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]
Interchange sides[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]
[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]
[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]
Simplify[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]
[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]
What is the image of the point (2,3) after the transformation Ry-axis?
Answer:
The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Step-by-step explanation:
We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.
In other words, the rule is:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.
Considering the point
A(2, 3)Let us reflect the point A(2, 3) across the y-axis.
We know the rule:
P(x, y) → P'(-x, y)
so
A(2, 3) → A'(-2, 3)
Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
The centre of this circle is marked with a cross (*).
Label the lines drawn using the correct circle vocabulary
Answer:
one is radius and the other is chord
Step-by-step explanation:
Burt's grandparents started a savings account for him when he was born. They invested
$1250 in an account that pays 7.5% interest every year. How much money is in the
account on Burt's 18th birthday?
Answer:
4594.76 USD will be in the account on Burt's 18th birthday.
Step-by-step explanation:
Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:
[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in US dollars.
[tex]C[/tex] - Current amount, measured in US dollars.
[tex]r[/tex] - Annual interest rate, measured in percentage.
[tex]t[/tex] - Time, measured in years.
If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:
[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]
[tex]C = 4594.76\,USD[/tex]
4594.76 USD will be in the account on Burt's 18th birthday.
Solve the equation, showing each step of the solution.
1 (x – 10) = -4
Answer:
x=6
Step-by-step explanation:
x-10=-4 (Distribute)
x=6 (Inverse operations {Add 10 on both sides} )
X=6
What is the difference of the fractions? Use the number line to help find the answer.
LE
13
54
|
1
16
18
120
14
120
to
다.
-
0
11
10
10
20 20
20 20 2020
x
20
0
Answer:
Option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
Determining the difference of the fractions
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.
[tex]\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{4-15}{20}[/tex]
Add the number: 4-15 = -11
[tex]=\frac{-11}{20}[/tex]
Apply the fraction rule: [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{11}{20}[/tex]
Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.
Therefore, option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
Is this a good outfit for a family gathering/ holiday party?
Black velvet skinny jeans
cream/white shirt
oversized rose cardigan
sparkly barrette
lightly curled hair
matte light makeup
Answer:
in my opinion you should wear black velvet skinny jeans with oversized rose top and lightly curled hair
Step-by-step explanation:
that is in my opinion
what do i put in the blank?
Answer:for m find the difference between y and x and for b add all of them up
Step-by-step explanation:
What is the percent Of decrease from 50 to 21
Please anwser accurate and I give brailiest
Answer:
29%
Step-by-step explanation:
To find the decrease from 50 to 21 you would subtract 50 - 21. You get 29. This is the same as 29/100. 29/100 is also 0.29 or 29%.
Hope it helps! (I'm so sorry if it's incorrect).
Answer:
57.9% please give me brainliest i used a percentage calculator :)))
Step-by-step explanation:
The diameter of a small pizza is 16 centimeters this is 2 centimeters more than two fiths of the diameter of a large pizza find the diameter of the large pizza
Answer:
35 cm
Step-by-step explanation:
Diameter of small pizza = 16
Let Diameter of large pizza = x
Diameter of small pizza = 2/5(x) + 2
2/5(x) + 2 = 16
(2x / 5) + 2 = 16
2x / 5 = 16 - 2
2x / 5 = 14
multiply both sides by 5
2x = 14 * 5
2x = 70
Divide both sides by 2
x = 70/2
x = 35
Diameter of large pizza = 35 mm
14.8 - 4b - (17.1-3b)
Answer:
-3.3
Step-by-step explanation:
452x12÷blank=452
Please help!
Answer: 12
Step-by-step explan
The opposte to dividing by 12 is multiplying by 12
The sum of two numbers is 69. One number is 13 less than the other. Find the numbers.
Answer:
41, 28
Step-by-step explanation:
x+x-13=69
2x=69+13=82
x=82/2=41
41-13=28
A $48 aquarium is on sale at a discount of 24%. What is the sale price of the aquarium?
Answer:
36.48$
48x24/100=11.52
48-11.52=36.48
Evaluate if x=-4 and y=13 3(2x- y)
Answer:
-63
Step-by-step explanation:
6x - 3y
= 6 × -4 - 3 × 13
= -24 - 39
= -63
What is the slope of -8,0 and -3, 15 please explain to me
Answer:
m=3
Step-by-step explanation:
rise/run or y/x
using the y coords/x coords
15-0/-3-(-8)
=15/-3+8
=15/5
=3
help me please! ill make you brainliest.
Luiza starts collecting rare coins. In the first month of her collection, she has 25 coins. Each month since then, she has added 2 coins to her collection. How many coins will she have after 2 years?
Answer: 71 coins
Step-by-step explanation:
First and foremost, we should note that:
12 months = 1 year
2 years = 12 × 2 = 24 months
Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:
= 25 + 2x
where, x = number of months
= 25 + 2(23)
= 25 + 46
= 71 coins
She will have 71 coins after 2 years.
Pls help PLSSSS PLSSS
Answer:
a. Geometric
b. 20, 10 and 5
c. Tn = 20(0.5)^n-1
d. 0.00004 ft
Step-by-step explanation:
a. The sequence is geometric
The reason for this is that we will be multiplying each term by a particular value
If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number
b. 1st term is
20
second term
1/2 * 20 = 10
Third term
1/2 * 10 = 5
c. Explicit formula
Mathematically, that will be;
Tn = ar^n-1
Where r is 1/2 or 0.5
Tn = a(0.5)^n-1
where Tn is the present term and n is the present number of the term
d. 20th term
T20 = 20 * 0.5^19
T20 = 0.00004 ft
Translate the following equation into a verbal sentence: x-6=2(8+x)
A- six less than x is two times the sum of eight and x
B-the difference between 6 and x is two times eight plus
C-six less than xis two times eight plus x
D- the difference between 6 and x is two times the sum of eight and x
A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused
Answer:
b) The average speed at which he travelled for the whole journey
Step-by-step explanation:
If he had travel 200- km/h and had broke down by which was at 10:30 a.m you would have to subtract 200 km/h to 10:30 your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640
What is an equation of the line that passes through the points (5, 8) and (5,3)?
Answer:
x = 5
Step-by-step explanation:
to find the slope of the line you take the difference of the y-values divided by the difference of the x-values; the denominator results in zero
When the denominator for slope is zero then you know the line will not intersect the y-axis at all and the line will be vertical and intersect the x-axis at the x-coordinate of any known point
any fraction with zero in the denominator is considered to be 'undefined'
any fraction with zero in the numerator is zero
Please Help Will give brainliest, 5 stars and thanks!
what
[tex] \sqrt{9} [/tex]
Answer:
3 is the answer ####%%##
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
2 1/3 ; 9 1/3
Step-by-step explanation:
Given that:
Outside temperature increases by 3 1/2 degrees every 1 1/2 hours
The rate per hour of temperature increase will be :
Let rate per hour = x
3 1/2 = 1 1/2
x = 1
Cross multiply :
1 1/2 * x = 3 1/2 * 1
3x/2= 7/2
Multiply both sides by 2/3
3x/2 * 2/3 = 7/2 * 2/3
x = 14/ 6
x = 2 2/6
x = 2 1/3
Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.
2.) Temperature increase after 4 hours :
(Temperature rate per hour * number of hours)
(2 1/3) * 4
(7/3) * 4
28 / 3
= 9 1/3
Hence, temperature increase after 4 hours = 9 1/3
2 1/3 ; 9 1/3
Step-by-step explanation:
Given that:
Outside temperature increases by 3 1/2 degrees every 1 1/2 hours
The rate per hour of temperature increase will be :
Let rate per hour = x
3 1/2 = 1 1/2
x = 1
Cross multiply :
1 1/2 * x = 3 1/2 * 1
3x/2= 7/2
Multiply both sides by 2/3
3x/2 * 2/3 = 7/2 * 2/3
x = 14/ 6
x = 2 2/6
x = 2 1/3
Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.
2.) Temperature increase after 4 hours :
(Temperature rate per hour * number of hours)
(2 1/3) * 4
(7/3) * 4
28 / 3
= 9 1/3
Hence, temperature increase after 4 hours = 9 1/3
I know because i am in the future
This my last question I need help plz
Answer:
y-5=1/3(x-6)
Step-by-step explanation:
SO find the slope first
ANd then just fill out the point slope formula
Please show step by step how to do this (2-step) equation
3x + 6 = 21
Answer:
x = 5
Step-by-step explanation:
3x + 6 = 21
3x = 21 - 6
3x/3 = 15/3
x = 5
From a point 300 feet above ground in a firetower, a ranger spots two fires in the George Washington National forest. The angle of depression made by the line of sight from the ranger to the first fire is 3oand the angle of depression made by the line of sight from the ranger tothe second fire is 2o. The angle formed by the two lines of sight is 0117. Find the approximate distance between the two fires.
Answer:
The answer is "[tex]\bold{17456.6 \ ft}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\[/tex]
The height of tower (AB) = 300 ft
Distance = CD
[tex]\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33[/tex]
calculating CD :
[tex]CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft[/tex]
