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The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,880 on entertainment. What was their total budget last year?
Answer:
Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...
Step-by-step explanation:
Given: ΔАВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 60° BC = 6 cm, find the length of AD
im not sure sorryyyyyyyyyyyyyyy
Guve 2 example of measurement length
Answer:
There are inches, feet, miles, centimeters, meters, kilometers
Step-by-step explanation:
can someone help me solve this 11
[tex]\dfrac{\sin \alpha}{\cos \alpha + \sin \alpha} - \dfrac{\cos \alpha}{\cos \alpha - \sin \alpha}\\\\\\=\dfrac{\sin \alpha(\cos \alpha - \sin \alpha) - \cos \alpha(\cos \alpha + \sin \alpha)}{(\cos \alpha + \sin \alpha)(\cos \alpha -\sin \alpha)}\\\\\\=\dfrac{\sin \alpha \cos \alpha - \sin^2 \alpha - \cos^2 \alpha - \cos \alpha \sin \alpha}{\cos^2 \alpha - \sin^2 \alpha}\\\\\\=\dfrac{-(\sin^2 \alpha + \cos^2 \alpha)}{\cos 2 \alpha}\\\\\\=-\dfrac{1}{\cos 2 \alpha}\\[/tex]
[tex]=-\left(\dfrac{1}{\tfrac{1- \tan^2 \alpha}{1 + \tan^2 \alpha}} \right)~~~~~~~~~~~~~~~~~~; \left[\cos 2\theta = \dfrac{1 - \tan^2 \theta}{1+ \tan^2 \theta} \right]\\\\\\\ = -\left(\dfrac{1+ \tan^2 \alpha}{1- \tan^2 \alpha}\right)\\\\\\= \dfrac{1+\tan^2 \alpha}{\tan^2 \alpha -1}[/tex]
How many arrangements can be made from the letters in the word PICCOLO
Answer:
1260Step-by-step explanation:
This is a permutation of 7 letters with double O and double C:
7!/2!2! = 5040/4 = 1260P = 1
I = 1
C = 2
O = 2
L = 1
--------
Total (n) = 7(k) = 2(C), 2(O)p = N! ÷ k!
p = 7! ÷ 2!2!
p = 5,040 ÷ 4
P = 1,260
What is the value of x?
Answer:
x = 7
Step-by-step explanation:
The right angle is composed of the 2 given angles, so sum to 90°
4x + 40 + 6x - 20 = 90
10x + 20 = 90 ( subtract 20 from both sides )
10x = 70 ( divide both sides by 10 )
x = 7
The Guiness Book of World Records holder for Fastest Rapper is a guy
from Seattle named NoClue. He can rap 70 syllables in just 5 seconds. (He
actually did 723 in 51.27 seconds). What is his speed in syllables per
second?
Answer:
Write a ratio.
70 : 5
x : 1
To solve for x, cross multiply.
70 : 5x
Divide both sides by 5.
14 = x
So, NoClue can rap 14 syllables per second.
:)
Evaluate.
(−1/3+0.3(−1/3)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer: 1.133333
Step-by-step explanation:
The value of the expression [tex]\frac{17}{15}[/tex] .
What is simplification?Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. Fraction questions in mathematics frequently require lengthy calculations and complicated sums. Some pupils find it more challenging and require more time to solve. But don't worry—there is a solution for you in this article on math simplification. It will assist you in finding simple ways to simplify fractions. You'll discover what simplification is, how and where to simplify fractions, and the procedures involved in simplifying fractions in this article. Additionally, you'll learn the exact steps to take.
Here, do normal simplification using BODMAS rule.
Hence, the required value is [tex]\frac{17}{15}[/tex]
Learn more about simplification from given link
https://brainly.com/question/432678
#SPJ2
PLEASE HELP!
Your class hopes to collect at least 325 of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.
Part 1: Write an equation that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.
Part 2: How many cans are needed to meet or surpass the goal?
Answer:
Part 1. 325 - (135 + 89) = c
Part 2. ≤ 101
Step-by-step explanation:
Brainliest Please!If x = -7 and y = 2, evaluate the following expressions
i) (4y)² – (2x)²
ii) 4y² - 2x²
Answer:i)16y^2−4x^2
ii) i don't know the other one sorry
Step-by-step explanation:
A car moving at a constant speed passed a timing device at t = 0. After 6 seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
d = 89t
Step-by-step explanation:
d = distance --- t = timing device --- x = speed or feet per x
d = tx
linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x
linear equation --> d = 89t
Answer:
[tex]f(x)=89x[/tex]
Step-by-step explanation:
With the given information, you have 2 points.
1. (0, 0)
2. (6, 534)
With 2 points, you can calculate the slope of the linear function.
[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]
Finally, you can write a function:
[tex]f(x)=mx+b[/tex]
No need to calculate the y-intercept as thats already given in point (0, 0).
[tex]f(x)=89x+0\\f(x)=89x[/tex]
The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.
Answer:
1st , 2nd , and 4th
Step-by-step explanation:
Given: 8x - 3y= -21, 3x + y = -10; prove x= -3
Can someone help me plzzzzz
2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me
2b - 37 = 152 - 5
2b - 37 = 147
2b = 147 + 37
2b = 184
b = 92
What is the value of x in (2/3)x=4/9?
Answer:
The value of x would be 2/3
Answer:
the answer for x is 2
Step-by-step explanation:
60
Compare
a 15% of 17 and 17% of 15
b
1.2% of 48 and 12% of 480
с
147% of 621 and 125% of 549
80% of a and 40% of 2a
f
36% of 2.5b and 1.5% of 80b
Answer:
a=2.55
b=0.576
c=912.87
f=2.295
Step-by-step explanation:
=15/100*17
=2.55
=17/100*15
=2.55
=1.2/100*48
=0.576
=12/100*480
=57.6
=147/100*621
=912.87
=125/100*549
=686.25
=80/100*2.55
=2.04
=40/100*2a
=40/100*(2*2.55)
=0.4*(5.1)
=2.04
=36/100*2.5(2.55)
=0.36*6.375
=2.295
=1.5/100*80(2.55)
=0.015*(204)
=3.06
Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5
Find the quotient. Use a model to help you divide
6
.
15
÷
5
=
A.
1.03
B.
1.23
C.
1.3
D.
1.2
Answer:
Step-by-step explanation:
6.15/5=1.23
The answer is B.
f(x)=-3x^2 find f(-2)
Answer:
12
Step-by-step explanation:
f(-2)=3(-2)^2
f(-2)=3(4)
f(-2)=12
pls help it’s timed c:
Answer:
A
Step-by-step explanation:
z1 = 4 - i
z2 = -3 - 2i
z1 - z2 = 4 - i - (-3 - 2i) = 4 + 3 - i + 2i = 7 + i
Answer: A
help me on this please
Answer:
1: AOB is 180 degrees 2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15
Step-by-step explanation:
x = 15
Add up 5x - 15 + 90 + 2x = 180 degrees
FOG = 90 degrees (right angle)
Combine like terms to get 7x + 75 = 180
subtract 75 on both sides to get 7x = 105
Divide both sides by 7 to isolate x to get x = 15
Substitute 15 for every x you see so 5(15) - 15 and 2(15)
5(15) - 15 = 60
2(15) = 30
Hope this works!!! :)
Make n the subject of the formula
m = 5 n - 21
-----------------------------------------------------------
Can someone please help and explain!!
Incorrect or incomplete answers will be reported
Answer:
[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
Step-by-step explanation:
To make "n" the subject of the formula, rearrange the formula so it begins with " n = "
To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.
=> m = 5n - 21
there's a "-21" next to "5n", inverse of subtraction is addition, so add 21 on both sides of the equation.=> m + 21 = 5n - 21 + 21
=> m+ 21 = 5n
There's also a 5 attached to n, that means the multiplication of n with 5, the inverse of multiplication is division, so dividing both sides of the equation by 5[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
round 4,204 to the nearest hundred
Answer:
4200
hope helpful <3 !!!!!!!!!!!!!
This is a math question from highschool (LOOK AT PICTURE)
Answer: The answer is 12q-1/2
Step-by-step explanation:
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?
Can Someone Help me please
Answer:
As no graph is provided you can only solve it.Steps provided below
Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective valuesYes you have done it
Can someone please help me solve this please
Step-by-step explanation:
j(x) = 2x + 9
=> 2x + 9 = j(x)
=> 2x = j(x) - 9
=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29
Can someone figure this out for me plsss
Answer:
Step 2 you should subtract 5 (aka D)
Step-by-step explanation:
Simple, its 2+ step equations.
Step 1 Look at the problem
Step 2 Subtract the second normal number by the rest (5- -12 and 19)
Step 3 answer
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
Consider the function f (x) = 3x^3 + 10x^2 - 13x - 20
(a) Determine the x-intercepts of f (x)
(b) Determine the y-intercepts of f (x)
(c) Identify a point in between each of the x-intercepts of f(x)
(d) Determine the end behavior of f (x)
(e) Use the points and end behavior from parts (a) - (d) to graph f (x)
Label the scale of each axis.
All help is greatly appreciated!
I need 30 please thank you
Answer:
ok good morning
have a nice day
Step-by-step explanation:
#toxicsquad
Answer:
i think its 7, but you should probably check that...