Answers:
x = -5
y = 9
============================================
Work Shown:
Start by solving the second equation for x.
3x = -15
3x/3 = -15/3 .... divide both sides by 3
x = -5
Then plug this into the first equation and isolate y.
6x + 4y = 6
6(-5) + 4y = 6 .... every x replaced with -5
-30 + 4y = 6
-30+4y+30 = 6+30 .... add 30 to both sides
4y = 36
4y/4 = 36/4 .... divide both sides by 4
y = 9
Solve 4(4f-9)=-(2-f)
Answer:
f = [tex]\frac{7}{15}[/tex]
Step-by-step explanation:
1. 4(4f - 9) = -(2-f) distribute the negative
2. 4(4f - 9) = -2 + f Distribute the 4
3. 16f - 9 = -2 + f Subtract f on both sides
4. 15f - 9 = -2 Add 9 on both sides
5. 15f = 7 Divide both equations by 15
6. [tex]\frac{15f}{15} = \frac{7}{15}[/tex]
f = [tex]\frac{7}{15}[/tex]
What is the solution of the equation 3x + x + 8 = 4?
a. -1 c. 2
b. 1 d. 4
Answer:
a. -1
Step-by-step explanation:
Simply the equation: 3x+x+8=4
1st step: 4x+8=4
2nd step: 4x=4-8
3rd step: x=[tex]\frac{-4}{4}[/tex]
4th step: x= -1
I’ve been stuck on this someone please help me solve this question
Answer:
part A) [tex]f=2.75p[/tex]
par B) [tex]38.5\ cups\ of\ flour[/tex]
Step-by-step explanation:
Part A)
Let
p ----> the number of pounds of cake
f ----> the number of cups of flour
we know that
A relationship between two variables, p, and f, represent a proportional variation if it can be expressed in the form [tex]k=\frac{f}{p}[/tex] or [tex]f=kp[/tex]
Find the value of k
For p=3, f=8.25 ----> [tex]k=\frac{8.25}{3}=2.75[/tex]
therefore
The linear equation is
[tex]f=2.75p[/tex]
Part B) we have
For p=14
substitute in the equation and solve for f
[tex]f=2.75(14)=38.5\ cups[/tex]
there were 15 questions of which nicole answered 8 incorrectly at this rate how many should she expect to answer correctly if she answers a total of 135 questions
Answer:
72 Wrong, so find how many are right with 135 total
Step-by-step explanation:
It's similar to saying if she answered half and this continued how many would she have answered after answering a bigger number, you would say half.
so she answered 8/15 incorrectly a a smaller number, so she will answer that ratio with a bigger number. If it helps 8/15 is about 53%. just like 1/2 is half. So to find half you would multiply something by 1/2 and int he same way you multiply something by 8/15 to get that proportion of it.
so 135, if you take this 53%, or simply multiply it by 8/15 you get your answer of 72. So 72 wrong so al others are right, which you get with 135-72 = 63.
You could also do 135*(1-8/15) = 135 * 7/15. if you ever want to find something NOT part of the proportion you do 1 - that proportion.
You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs and sodas sold at the swim meet
Answer:
1x + 0.5y = $150
Step-by-step explanation:
x = hot dog and each hot dog is sold for $1. We will multiply each hot dog sold by $1.
y = soda and each soda is sold for $0.50. We will multiply each soda sold by $0.50.
Is 2,509 less than 2,590
Answer:
Yes
Step-by-step explanation:
Answer:
Yes, 2,509 is less than 2,590
Step-by-step explanation:
When comparing 2509 to 2590, you first look at the first number on the left. In our case it is 2, then you look at the second number, which is 5, then you look at the third number which is 0 and 9, since the 9 is bigger that makes 2590 bigger than 2509, or 2509 less than 2590
Hope this helps ;)
(3+4) + (4x+56) - (5x+3) = 45
Will Mark Brainliest
Answer:
X=21
Step-by-step explanation:
(7)+ (4x+56) - (5x+3)=45
7+4x+56-5x+3=45 add similar numbers
56+7+3=66
4x-5x= -x
-x+66=45
-66 -66
-x=-21
divide by - and x=21
What’s the answers please help
James, Priya, and Siobhan work in a grocery store. James makes $7.00 per hour. Priya makes 40% more than James, and Siobhan makes 5% less than Priya. How much does Siobhan make per hour?
Siobhan makes $
per hour.
Answer:
The per hour income of Siobhan is $9.31 per hour.
Step-by-step explanation:
Working in a grocery store James makes $7.00 per hour. Priya's hourly income is 40% more than James, and Siobhan's hourly income is 5% less than Priya.
Therefore, using formula of percentage, the per hour income of Priya will be
[tex]7.00(1 + \frac{40}{100}) = 7 \times 1.4 = 9.8[/tex] dollars per hour.
Again, the per hour income of Siobhan is [tex]9.8(1 - \frac{5}{100}) = 9.8 \times 0.95 = 9.31[/tex] dollars per hour. (Answer)
100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.
b = 30 ft
b = 5x ft
b = 10 ft
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
[tex]\frac{1}{2}[/tex] × b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b = [tex]\frac{30x+150}{3x+15}[/tex] ← factor numerator and denominator
= [tex]\frac{30(x + 5)}{3(x+5)}[/tex] ← cancel the factor (x + 5) on numerator/denominator
= [tex]\frac{30}{3}[/tex]
= 10
Answer:
b = 10ft
Step-by-step explanation:
Area = ½ × base × height
15x + 75 = ½ × base × (3x + 15)
30x + 150 = base × (3x + 15)
10(3x + 15) = base × (3x + 15)
base = 10
(X^2+2x+5)(2x) simplify this
Answer:
Step-by-step explanation:
(X²+2x+5)(2x)
= 2x(x²) +2x(2x) + 2x(5)
= 2x³ + 4x² + 10x
(UPLOADED AGAIN) Please give the answer and how you got it
Answer:
B.
Step-by-step explanation:
B. <b and <A are complementary - remember that complementary angles means that the 2 angles will add up to 90 degrees, and in this case, they add up to 180 degrees.
Which number is a rational number? A. B. C. D.
Answer:
a
Step-by-step explanation:
which equation is equivalent to 3 = 87 ÷ h
Answer
3h=87 or h=87/3
Step-by-step explanation:
Answer:
Let's see...
Step-by-step explanation:
Equation formats:3h = 873 = 87/hh = 87/3I hope this helps!
- sincerelynini
Each baby dinosaur made 15 paintings and each adult dinosaur made 7 paintings. The entire herd made
208 paintings in total, and there were 3 times as many baby dinosaurs as adult dinosaurs.
How many baby dinosaurs and adult dinosaurs were there?
Answer:
12
Step-by-step explanation:
baby = b
adult = a
b=3a
15*3a + 7a = 208
45a + 7a = 208
52a = 208
a=4
there were 4 adult dinosaurs
there were 12 baby dinosaurs
Answer:
12 adults 4 babies
Step-by-step explanation:
hcf and lcm 112 and 46 using prime factorisation
Answer:
HCF of 112 and 46 = 2
Step-by-step explanation:
HCF/GCD/GCF all mean the same. They are the highest common factor of two or more numbers.
Step 1: First you extract all the 'Prime' factors of each number.
The ladders on the image show that you are dividing each number with the smallest prime number. You keep doing it till you reach 1 .
Step 2: Then you write the factors of each.
Step 3: You choose the common factors.
Step 4: Multiply the common factors (if any) and then you have your answer.
Answer:
HCF: 2
LCM: 2576
Step-by-step explanation:
Prime factorizations:
112 = 2×2×2×2×7
46 = 2×23
HCF: 2 (only common factor)
LCM: 2×2×2×2×7×23 = 2576
John measures the angle of elevation to the top of a cliff to be 23 degrees. He walks 720 metres horizontally towards the cliff and finds the angle of elevation has doubled. What is the height of the cliff to the nearest metre ?
Answer:
The answer to this question is 1,495 ft
Step-by-step explanation:
Hope this helps
How much 5/16 are in 1 7/8
Answer:
convert 1 7/8 to an improper fraction.
1 times 8 is 8 plus 7 is 15.
1 7/8 = 15/8
15/8=30/16
30/16 divided by 5/16 is 6.
six 5/16 are in 1 7/8
I don't know how to do it?
Answer:
130°
Step-by-step explanation:
A hexagon's angels should be 720°.
so we need to substract the outer angels to find the interior angels.
180-75=105
180-38=142
180-42=138
180-65=115
180-90=90
then we add them up with x and equal it to 720
105+142+138+115+90+x=720
720-590=x
x=130
a=130
Answer:
a = 130°
Step-by-step explanation:
The interior angle of a polygon is calculated as
180° - exterior angle, thus
180° - 75° = 105°
180° - 42° = 138°
180° - 65° = 115°
180° - 90° = 90°
180° - 38° = 142°
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6, thus
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
105 + 138 + 115 + 90 + 142 + a = 720, that is
590 + a = 720 ( subtract 590 from both sides )
a = 130
Margaret makes bracelets and sells them to tourists. The function s(t) approximates how many bracelets Margaret makes per hour. The function W(h) represents how hours per week Margaret spends making bracelets. What are the units of measurement for the composite function s(W(h))?
bracelets over hour
hours over week
weeks over bracelet
bracelets over week
Answer: bracelets over week
Step-by-step explanation:
A composite function f(g(x)) is a function made by combining two functions, where one function (g(x)) is behaving like independent variable and the other (f) is dependent such that the domain of f becomes g(x).Given : Margaret makes bracelets and sells them to tourists.
The function s(t) approximates how many bracelets Margaret makes per hour.
The function W(h) represents how hours per week Margaret spends making bracelets.
Here in s(W(h)) , the domain of s becomes W(h).
Thus, the units of measurement for the composite function s(W(h)) is bracelets over week.
Denzel does not want to lock up his money in Investments that have a long maturity period, nor does he like to take big risks. So, he'd like to see
some moderate return on his investments in a year. He also has more faith in Investments issued by the government than those issued by
private companies. Which investment would be a good choice for Denzel?
A commodity stocks
B. retirement accounts
ec short-term bonds
D. US Treasury bonds
Answer:Its D, just took the test.
Step-by-step explanation:
The US Treasury Bonds is the best choice for Denzel's investment based on his preference for moderate risk, trust in government-issued investments, and a desire for a return within a year.
Explanation:Based on Denzel's investment preferences, the ideal choice for him would likely be D. US Treasury bonds. US Treasury bonds are direct obligations of the federal government, making them quite secure because they carry the full faith and credit of the U.S. government. Also, given that these bonds often provide moderate returns and can be purchased with various maturity dates (including one-year bonds), they line up with Denzel's desire to see a return on his investment in a year and his reluctance to lock his money up for long periods without realizing gains.
It's worth noting that, while the other options listed might also be suitable investments for different scenarios, they do not align as well with Denzel's specific risk tolerance, investment timeline, and trust in government-issued investments.
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URGENT 20 POINTS
Which experiment has a non-uniform probability model? SELECT TWO ANSWERS.
A.Tossing a fair coin one time
B.Randomly guessing the answer to a question on a multiple choice test that has four answer choices for each question
C.Spinning a spinner with sections that are different sizes
D.Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble
E.Spinning a spinner on which all sections are the same size
Answer: the answer is c,d or b,d but i think it i c and d
Step-by-step explanation:
find the mean of 37.5, 25.5, 30.5, 41.5, 52.5, 28.25, 30.5
Answer:
35.1785714286
Step-by-step explanation:
To find the mean you have to add all numbers. After you have added all numbers, you must divide the sum by the number of how many points you have.
Answer:
35.18
Step-by-step explanation:
Given the above scores .
Mean
= sum of scores/ number of scores
37.5 + 25.5 + 30.5 +41.5 +52.5 + 28.25 + 30.5 /7
246.25/7
35.18
The bench below is a rectangular prism on top of two cubes. The total height of the bench is
8 inches. What is the volume of this bench?
- 25 inches
4 inches
4 inches
4 inches
424 cubic inches
464 cubic inches
228 cubic inches
528 cubic inches
WILL GIVE BRAINLIEST AND A THANKS
Question:
The image of the question is attached below.
Answer:
Volume of the bench = 528 cubic inches
Solution:
Side of the cube = 4 inch
Volume of a cube = side × side × side
= 4 inch × 4 inch × 4 inch
Volume of a cube = 64 cubic inches
Volume of 2 cubes = 2 × 64 cubic inches
Volume of 2 cubes = 128 cubic inches
Length of the prism = 25 inch
Breadth of the prism = 4 inch
Height of the prism = 8 – 4 = 4 inch
Volume of the rectangular prism = length × breadth × height
= 25 inch × 4 inch × 4 inch
Volume of the rectangular prism = 400 cubic inches
Volume of the bench = volume of 2 cube + volume of the rectangular prism
= 128 cubic inches + 400 cubic inches
Volume of the bench = 528 cubic inches
Hence volume of the bench is 528 cubic inches.
Answer:528
Step-by-step explanation:
The product of 7/10 and another factor
is greater than 7/10. Which could be
the other factor?
A. 4/3
B. 5/9
C. 10/12
D. 7/7
Answer:a
Step-by-step explanation:Because four divide by three is one point and thirty three
Final answer:
To find a factor that when multiplied with 7/10 results in a greater number, the factor must be greater than 1. The only option greater than 1 is 4/3. Therefore, the correct answer is A. 4/3.
Explanation:
The question is asking to find a factor that when multiplied with 7/10, results in a product that is greater than 7/10. To have a resulting product greater than 7/10, the other factor must be greater than 1, as multiplying by a number greater than 1 increases the value of the original number. Let's evaluate the options:
A. 4/3 - This fraction is greater than 1 because 4 divided by 3 is approximately 1.33.B. 5/9 - This fraction is less than 1 because 5 divided by 9 is approximately 0.56.C. 10/12 - This fraction simplifies to 5/6, which is less than 1.D. 7/7 - This fraction simplifies to 1, which would mean the product is the same as the original number (7/10).Therefore, the correct answer is A. 4/3, since it is the only option greater than 1 and will result in a product greater than 7/10 when multiplied together.
David is making a wall out of bricks. Each brick is 2/3 foot long. There are 20 bricks lined up end to end to make the wall. What is the total length of the wall in inches?
The total length of wall is 160 inches
Solution:
Given that,
[tex]Length\ of\ each\ brick = \frac{2}{3}\ foot[/tex]
1 feet = 12 inches
Therefore,
[tex]Length\ of\ each\ brick = \frac{2}{3} \times 12\ inches = 8\ inches[/tex]
There are 20 bricks lined up end to end to make the wall
To find: Total length of wall in inches
[tex]Total\ length\ of\ wall = \text{length of each brick } \times \text{ total number of bricks}[/tex]
Thus we get,
[tex]Total\ length\ of\ wall = 8 \times 20\\\\Total\ length\ of\ wall = 160\ inches[/tex]
Thus total length of wall is 160 inches
First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial. 1. 7x^4 + 5x^2 + x − 9 2. 7x^6 − 4x^3 + 1/x
Answer:
As the degree of the polynomial is said to be the highest degree of any of the terms. Therefore, the degree of [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] is 4The expression [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] is not a polynomial as the term [tex]\frac{1}{x}[/tex] is not a polynomial as the the variable [tex]x[/tex] is in the denominator.Step-by-step explanation:
Considering the given expressions
[tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex][tex]7x^6\:-\:4x^3\:+\:1/x[/tex]As we know that
A polynomial is considered to be the sum of monomials where each monomial is said to be a term.The degree of a polynomial is the considered to be the greatest degree of its terms.A polynomial is normally written with the term with the highest exponent of the variable first and afterwards decreasing from left to right.The first term of a polynomial is said to be the leading coefficient.The degree of the polynomial is said to be the highest degree of any of the terms.Now, considering the expression
[tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex]Here, the first term (monomial) i.e. [tex]7x^4\:[/tex] has the highest exponent of the variable. Here, the highest exponent is 4.
As the degree of the polynomial is said to be the highest degree of any of the terms.
Therefore, the degree of [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] is 4.
The polynomial [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] can also be called a quadrinomial as it has four terms.
Also considering the second expression
[tex]7x^6\:-\:4x^3\:+\:1/x[/tex]This expression is not a polynomial.
For an expression to be a polynomial, it must must have to carry
no square roots of variables. For example, [tex]\sqrt{y}[/tex] is not a polynomial as the variable y is inside a radical. no fractional or negative powers on the variables, For example, [tex]5x^{-3}[/tex] is not a polynomial as the x variable has a negative exponent.and no variables in the denominators of any fractions. For example, [tex]\frac{1}{x}[/tex] is not a polynomial as the the variable x is in the denominator.Therefore, the expression [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] is not a polynomial as the term [tex]\frac{1}{x}[/tex] is not a polynomial as the the variable x is in the denominator.
Keywords: degree, monomial, polynomial, expression
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2> n +0.8 I don’t understand
Answer:
1.2 > n
Step-by-step explanation:
Step 1: Solve for n
2 > n + 0.8
2 - 0.8 > n + 0.8 - 0.8
1.2 > n
Answer: 1.2 > n
I don’t know how to figure out this question.
Kim wrote 57,000 in expanded form. Which number is NOT one of the numbers that Kim wrote?
A. 50,000
B. 7,000
C. 60
D. 4
In expanded form, 57,000 equals 50,000 + 7,000 therefore, number 60 and 4 are NOT one of the numbers that Kim wrote.
What is meant by expanded form?The expanded form of a number is the division of a number into place values, such as ones, tens, hundreds, thousands, ten thousand, and so on.
The number represented by the sum of each digit multiplied by its place value is known as its expanded form. When you write a number in expanded form, you write the value of each digit and then add them together to find the sum.
The number 1,24 has the following values, for example: it is in the thousands place, the value of one is written as 1,00. thus it is in the hundreds place, the value of 2 is written as 20.
Therefore,
Expanded Form of 57,000
57,000 = 50,000 + 7,000.
Hence, In expanded form, 57,000 equals 50,000 + 7,000.
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what is the slope of (-1,0) (0,-1)
Answer:
-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-0)/(0-(-1))
m=-1/(0+1)
m=-1/1
m=-1