Answer:
x = - 1/2
Step-by-step explanation:
-3(x-4) = -9(x - 1)
1. Distributive Property
-3 * x -3 *-4 = -9 * x -9 * -1
-3x + 12 = -9x + 9
Hint: 2 negatives make a postive
-3x + 12 = -9x + 9
2. Subtract 12 on both sides
-3x + 12 - 12 = -9x + 9 - 12
-3x = -9x + -3
3. Add 9x on both sides
-3x + 9x = -9x + 9x + -3
6x = -3
4. Divide both sides by 6 to isolate the variable
6x/6 = -3/6
x = - 1/2
Check:
-3(-1/2-4) = -9( -1/2- 1)
3/2 + 12 = 9/2 + 9
3/2 + 12 ( we need a common denominator so...lets make it 2 )
3/2 + 12*2/1*2
3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5
Now...
9/2 + 9 ( we need a common denominator so..lets make it 2 )
9/2 + 9*2/1*2
9/2 + 18/2 = 27/2 = 13 1/2 = 13.5
13.5 = 13.5 CORRECT!
27/2 = improper fraction
13 1/2 = mixed number
13.5= decimal form
Hope this helped
X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.
Answer:
The distance between X and Z is approximately 114.9 km
Step-by-step explanation:
The given parameters are;
The distance of Y from X = 75 km
The bearing of Y from X = 200°
The bearing of Z from Y = 150°
The bearing of Z from X = 180°
In triangle XYZ, we have;
∠YZX = 180° - (130° + 20°) = 30°
By sine rule, we have;
(75 km)/sin(30°) = XZ/(sin(130°))
XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km
The distance between X and Z ≈ 114.9 km. to one decimal place.
a ladder leans against the side of a house. The angle of elevation of the ladder is 72 degrees, and the top of the ladder is 13 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
I do not know math to save my life.
Answer:
The distance measure is 4.2 ft
Step-by-step explanation:
Here, we want to get the distance from the bottom of the ladder to the side of the house
To get this, we can see that what we have is a right-angled triangle
We need to apply the appropriate trigonometric identity to get the value of what we want
Let us call the measure we want to calculate x
Mathematically;
Tan 72 = 13/x
x = 13/tan 72
x = 4.2 ft
Andy found these used cars prices in the newspaper.
Answer:
11,000
Step-by-step explanation:
Average or Mean= sum of goods/ total number of goods
Average= 6,000+12,000+20,000+8,000+9,000/5
= 55,000/5
= 11,000
Jessica wants to buy a new chair that has a regular price of $75.00. This week the chair will be on sale at a 12% discount.
How much money will Jessica save if she buys the chair this week?
Answer:
$9
Step-by-step explanation:
She will save $9 because the amount 75 so 12% of 75 is 9 and that 9 is the amount you save.
The following table represents a proportional relation. Find the missing values:
x 0 1 2 3 4
y
13.2
Answer:16288.xy
Step-by-step explanation:
Please help me 19 points for whoever answers number 3
HELP ASAP!! SOMEONE DO NUMBER 7 AND 8. ILL GIVE BRAINLIEST
Answer:
3.6 3/6 3.6 percent 3:6
Step-by-step explanation:
10:9
15:14
20:19
Answer:
7. 3:6, 3/9 (or 6/9), .33..... (or .66......), 33.3......% (or 66.6.....7)
8. 10 roses, 8 daisies, 10:8 ratio
15 roses, 13 daisies, 15:13 ratio
20 roses, 16 daisies, 20:16 ratio
( the 15 roses part was hard so if its wrong im sorry)
I don’t know how to do this can someone help?
Answer:
i think its B cause 4 was the radius
Step-by-step explanation:
Solve for x.
a. 16
b. 11
c. 6
Suppose that y varies directly with x and inversely with z, and y = 8 when x = 4 and z =
4. Write the equation that models the relationship. Then find y when x = 9 and z=3
Answer:
yes
Step-by-step explanation: yes
Samuel deposits $100 in a high-interest account that has an interest rate of 10% compounded annually. Samuel decides to neither add to nor withdraw money from the account for the next 10 years. How much will be in his account in 3 years? How long will it take to accumulate $61 in interest?
Answer:
In 3 years, the value of Samuel’s account will be approximately $133
It will take about 5 years for Samuel’s account to earn $61 in interest.
Step-by-step explanation:
edmentum
HELP PLS!!!!!!!!! :DD
Step-by-step explanation:
1 minute = 90 words
3.5 minutes = 90 * 3.5 = 315 words.
Hence Jim can type 315 words in 3.5 minutes.
Step-by-step explanation:
one minute equal 60s
3.5 minutes means 3 and half a minute
3 minute = 180s
1/2 minute =30s
therefore 3.5minutes = 210s
60s ----- 90words1s ------ 90/60= 3/2 =1.5words210s ------ 315words55% of the cookies Joel baked had chocolate chips. If Joel baked 77 cookies with chocolate chips, how many cookies did he bake?
Answer:
140 cookies
Step-by-step explanation:
To solve this question all we have to do is divide 77 by 0.55
Why 0.55 because 0.55 is the decimal version of 55%
once we divide 77 by 0.55 that will give us our answer of 140 cookies.
Now to check our answer:
If Joel made 140 cookies and 77 of those cookies are chocolate chip that would leave us with 63 cookies without chocolate chips. If we estimate our answer then 63 cookies would make total sense since we know that 55% = 77
then the other 45% would have to equal around 60-70 cookies
plz mark me brainliest if correct :)
Ayliah is 7 years more than 1/2 of Deb's age
use x for the variable
Answer:
The expression [tex]\frac{1}{2}x+7[/tex] can be used to find Ayliah's age.
Step-by-step explanation:
Given statement is:
Ayliah is 7 years more than 1/2 of Deb's age.
Let,
x represent Deb's age.
The expression for Ayliah's age would be;
7 more means addition.
Ayliah's age = [tex]\frac{1}{2}x+7[/tex]
Hence,
The expression [tex]\frac{1}{2}x+7[/tex] can be used to find Ayliah's age.
I need helpn asap , i been on this for the longest
Answer:
12,180g
Step-by-step explanation:
3x7=21
21x580g=12,180g
1/2 divided 4
1/5 divided 2
1/3 divided 5
1/4 divided 4
1/2 divided 3
Answer:
8
10
15
16
6
dividing by a fraction with a numerator of one, is the same as multiplying by the denominator
Step-by-step explanation:
I hope this helps :)
Help ASAP don't spam please, its about exponents
Answer:
C
Step-by-step explanation:
3^pi is equal to 31
5^squareroot of 2 is equal too 10
4^squareroot of 11 is equal too 99
2^squareroot of 5 is equal to 5
Geometry
I’ll mark brainiest crown thing only for the correct answer tho
Answer: i think it is ASA
Step-by-step explanation:
Does the sum of -21 and 12 equal 0?
Greatest Common Factor Find the GCF of the given expression: 4x2+28x When providing your answer, do not add any unnecessary spaces. Example: 2(x-1)
Answer:
4x(x+7)
Step-by-step explanation:
Both 4x^2 and 28x are divisible by 4x, which is also the GCF. This means you just have to divide the different parts of the expression to get 4x(x+7)
The Greatest Common Factor of the given expression 4x² + 28x will be 4x.
What is the greatest common factor?Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expression is given below.
⇒ 4x² + 28x
Take common 4x from both the terms, then we have
⇒ 4x² + 28x
⇒ 4x(x + 7)
The Greatest Common Factor of the given expression 4x² + 28x will be 4x.
More about the greatest common factor link is given below.
https://brainly.com/question/11221202
#SPJ2
A recipe uses 5 cups of milk to make 30 servings. If the same amount of milk is used for each serving, how many servings can be made from one quart?
1 gallon = 4 quarts, 1 quart = 2 pints, 1 pint = 2 cups, 1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?
Answer:
is 6 a choice if so that is the correct answer:)
Step-by-step explanation:
bc ik
Answer:
For the first part the answer is we will to find the number of servings for 8 cups.
The second and finnal answer is 16 servings
Step-by-step explanation:
2 quarts x 2 = 4 pints x 2 = 8 cups
5 cups per 10 servings unit rate is 1:2 X 8 = 8:16, Therfore 16 servings.
Glad I could help! :)
the ratio of the measures of the side lengths of a quadrilateral is 2:3:5:4. the perimeter is 154 feet. find the length of the shortest side.
Help this is urgent!
Answer:
well from what I see this is boring
what is the slope intercept equation of the line below (0, 4) (2, -2)
Answer:
2 text wen u here
Step-by-step explanation:
Answer:
y = -3x + 4
Step-by-step explanation:
Find slope:
(-2 - 4)/(2 - 0)
-6/2 = -3
y = -3x + b
Plug in a point for x and y:
4 = -3(0) + b
b = 4
y = -3x + 4
what is 1/3 divided by 7
Answer:
1/21
Step-by-step explanation:
1/21 is the fraction form
find the value of x please
Answer:
27
Step-by-step explanation:
744564564564646464656
If x=12 what is that value of 5(x-4)
Answer: 40
Step-by-step explanation:
You need to plug in 12 for x
5(12 - 4) = 5 x 8 = 40
sweater regularly priced for $84 is placed on sale for $67.20. What is the percent discount?
Work Shown:
amount saved = 84-67.20 = 16.80 dollars
Divide this over the original larger price to get 16.80/84 = 0.20 = 20%
Note how 20% of 84 = 0.20*84 = 16.80 to help check the answer.
Or we can say 0.80*84 = 67.20 which also helps confirm the answer.
The 0.80 is from the fact that you save 20% but still have to pay the remaining 80%
5h=srt solve for t please help
Answer:
5h/sr=t
Step-by-step explanation:
To get t alone basically all you do is divide 5h by s and r.
So the new equation would be 5h / sr = t
Solve the following quadratic equation by rearranging and then factorising x^2 + 7x + 19 = 9
Answer:
your lucky you did have a online lessons earlll
Step-by-step explanation:
The following are the temperatures in °C for the first 14 days of January:
-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5
Answer:
x = -5 & x = -2
Step-by-step explanation:
x^2 + 7x +10 = 0 you takeaway 9 as quadratic equations have to equal 0
(x+5)(x+2) = 0 you find 2 numbers that go into 10 that add to make 7 and multiply to make 10
(x+5) = 0 so x =-5 & (x+2) = 0 so x =-2