Can someone please help me and show all the work step by step please
Step-by-step explanation:
[tex]m\angle {ADC}=134°[/tex]
According to the diagram
[tex]\angle {ADB}+\angle{BDC}=\angle{ADC}[/tex]
[tex]\longrightarrow\sf 5x+4+7x-2=134 [/tex]
[tex]\longrightarrow\sf 12x+2=134 [/tex]
[tex]\longrightarrow\sf 12x=134-2 [/tex]
[tex]\longrightarrow\sf 12x=132 [/tex]
[tex]\longrightarrow\sf x=\dfrac {132}{12}[/tex]
[tex]\longrightarrow\sf x=6 [/tex]
[tex]m\angle{BDC}=7x-2=7×6-2 =40°[/tex]
A car wash detailed 256 cars in 8 hours. At what rate did the car wash detail
cars in cars per hour?
O A. 31 cars per hour
O B. 33 cars per hour
O C. 32 cars per hour
O D. 30 cars per hour
how many times can 23 go into 26
Answer: 1.13043478 times
Step-by-step explanation:
An acid is prepared by mixing 400 mL of water and 100 mL of pure sulfuric acid. What is the
percentage by volume composition of sulfuric acid?
A. 15 %
B. 20%
C.25%
D.30%
A box contains 4 blue chips and 5 black chips. If two chips are drawn at random with replacement, what is the probability that both will be blue
Answer:
Step-by-step explanation:
divide the number of blue chips over the total chips
the probability that first one will be blue 4/9
the probability that second one will be blue 4/8
Cherries cost $2.50 per pound and mangoes cost $3 per pound. Kal bought a total of 7 pounds of cherries and mangoes for $20. Write a system of equations to represent the situation.
Answer:
x + y = 7
2.5x + 3y = 20
Step-by-step explanation:
cherries = $2.5 per pound
mangoes = $3 per pound
7 pounds of cherries & mangoes for $20
unkown x number of pounds in cherries
unknown y number of pounds in mangoes
x + y = 7
2.5x + 3y = 20
The graph of relation v is shown. Which of the following graphs represents the relation and its inverse?
Step-by-step explanation:
The relation and its inverse (if it exists) must be symmetrical about the line y = x.
Hence the answer is the 2nd from the top.
Answer:
Second option
Step-by-step explanation:
Stacy's Weekly salary is $1516.52 what is her annual salary?
Answer:
Does she get paid once every week?
Step-by-step explanation:
Arrange the expressions in increasing order of their values.
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)sin(7.5°)
Answer:
cos(52.5°)sin(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
In increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).
What are Expressions ?Statements that have more than one term and a variable is connected to another variable by a mathematical operator are called Expressions.
The expression given are
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)sin(7.5°)
To arrange them into increasing order , the value of it has to be determined.
cos(52.5°)cos(7.5°) = 0.6088 * 0.9914 = 0.6036
sin(52.5°)cos(7.5°)= 0.7933*0.9914 = 0.7865
sin(52.5°)sin(7.5°)= 0.7933*0.1305 = 0.1035
cos(52.5°)sin(7.5°)= 0.6088*0.1305= 0.07945
Therefore in Increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).
To know more about Expressions
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A realtor found a home for a couple that will require a monthly loan payment of $1460. If the lender insists that the buyer's monthly payment not exceed 28% of the buyer's monthly income
find the minimum monthly income required by the lender. Simply your answer.
Answer:
The minimum monthly income required by the lender is $5214.30
Step-by-step explanation:
Here, we want to calculate the minimum monthly income required by the lender
From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income
So in this case, let the monthly income be x
So therefore;
28% of x = 1460
Thus;
28/100 * x = 1460
28x = 100 * 1460
x = (100 * 1460)/28
x = 5214.30
Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.
Answer:
x = -30
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
Step 2: Solve for x
Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms: -0.1x + 2 = 0.2x + 11Add 0.1x on both sides: 2 = 0.3x + 11Isolate x term: -9 = 0.3xIsolate x: -30 = xRewrite: x = -30Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2Multiply: -22 + 27 = -7.2 + 12.2Add: 5 = 5Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?
Answer:
280
Step-by-step explanation:
subtract
Answer:300
Step-by-step explanation:
I NEED HELP IF YOU DONT KNOW THE ANSWER DONT COMMENT.
Please help me
Answer:
Yeah
Step-by-step explanation:
1. understand time management
2. Value time.
3. use time wisely
4. take advantage of the opportunity of extra time.
5. smile, it's all linear! : )
A grandparent deposits $3,000 each year into an annuity that pays 8% interest. Find
the future value at the end of 10 years.
PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?!
PLSSSSSSSS I NEED HELP ASAP PRETTY SURE THIS IS BEING GRADED!! GIVING BRAINLIEST AND 40 POINTS!!
Answer:
100 boys at the concert
Step-by-step explanation:
When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7
So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:
2 : 7
×50 ×50
To get:
100:350 ⇒ This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.
So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.
Answer: 100 boys at the concert
I hope you understand and that this helps with your question! :)
2+2 can anyone help me
Answer:
Yea sure I gotchu my dude
Step-by-step explanation:
so The answer was complicated to find but its................. (correction)
4!)
can u believe it! the people down below would understand.
Answer:
2+2=4
Step-by-step explanation:
If you have 2 cookies, and your mom turned crazy and gave you 2 more, then you have 4 in total.
Hope this helped!
Though if you mom actually did that, please report she may have gone crazy. lol
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?
Answer:
21
Step-by-step explanation:
15 divided by 5 is 3
7 times 3 = 21
Answer - There are 21 chocolate chip cookies.
The amount of money that Kelly makes varies directly with the number of hours she works. If Kelly makes $306 when she works 18 hours, what is the constant of variation for her earnings?
A) 15
B) 17
C) 18
D) 20
write the factored form of the polynomial.
P(x) = x4 – 7x3 + 13x2 + 3x – 18
Answer:
(x+1)(x-2)(x-3)^2
Step-by-step explanation:
Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!
If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gym string to be a better buy?
Answer:
It would take 28 months for Gym Strong to be a better buy.
Step-by-step explanation:
There are two possible options for gyms to choose from:
Gym Strong charges $350 plus $15 a month
Gym Fit charges $100 plus $24 a month.
Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.
Let's solve this by analyzing the differences in fixed fees and monthly fees.
The difference of fixed fees is $350 - $100 = $250
The difference on monthly fees is $24 - $15 = $9
Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.
It would take 28 months for Gym Strong to be a better buy.
Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form.
Joanna is 152cm tall .Kristal is 8cm shorter what is the sum of heights.
Answer:
296 cm
Step-by-step explanation:
Joanna is 152cm tall
Kristal is 152 - 8 = 144 cm
The sum of the heights is
152 + 144 =296 cm
please answer this question
Answer:
The answer is the 3rd one or C
hope this helps:)
Step-by-step explanation:
What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0
Answer:
x = -3, x = 7
Step-by-step explanation:
( 5x + 15 ) ( x - 7 ) = 0
5x + 15 = 0
5x = -15
x = -3
x - 7 = 0
x = 7
Answer:
x=−3 or x=7
Step-by-step explanation:
(5x+15)(x-7)=0
5x2−20x−105=0
5(x+3)(x−7)=0
x+3=0 or x−7=0
x=−3 or x=7
PLS HELP BEST AWNSER GETS BRAIN THINGY
Answer
I think its C which is 112
Answer:
112
Step-by-step explanation:
i did the math
You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st. What will your rent be at the end of this year?
Answer:
$892.50
Step-by-step explanation:
5/8 divided by 1 1/3? In fraction form
Answer:
15/32
Step-by-step explanation:
15/32 is the fraction form of the statement 5/8 divided by 1 1/3.
To divide 5/8 by 1 1/3, we first need to convert the mixed number 1 1/3 to an improper fraction.
1 1/3 can be written as (3/3 + 1/3), which simplifies to 4/3.
Now, we can rewrite the division as the multiplication of the dividend by the reciprocal of the divisor:
(5/8) * (3/4)
Multiplying the numerators and denominators:
(5 * 3) / (8 * 4) = 15/32
Therefore, 5/8 divided by 1 1/3 in fraction form is equal to 15/32.
Learn more about ratios here:
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What is a GEM math program?
Answer:
Gifted European Mathematicians (G.E.M.) project
Step-by-step explanation:
hope it is correct
4
Mathematical
9. PRACTICE Model Math The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails.
Answer:
11
need more characters