Answer:
x = 28
Step-by-step explanation:
1/7(x) = 4
Multiply all sides by 7
x = 4 x 7/1
x = 28/1
x = 28
-Chetan K
Answer:
n = 28
Step-by-step explanation:
Let the unknown be n.
Then the word problem translates into n(1/7) = 4.
Multiplying both sides by 7 yields n = 28
5. INDIRECT MEASUREMENT A lighthouse casts a 128-foot shadow. A nearby lamppost that
measures 5.25 feet casts an 8-foot shadow.
Write a proportion that can be used to determine the height of the lighthouse. What is the height of the lighthouse?
MGSE9-12.G.SRT 5
b. 5.25
a. 1285.25; 195 ft
X 128
8 ; 84 ft
128
c. 5.25" 8 ; 672 ft
X 128
d. 3 5.25; 195 ft
Using proportions, it is found that the height of the lighthouse is of 84 ft.
This question is solved by proportions, using a rule of three.For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?The rule of three is:
5.25 feet - 8 feet
x feet - 128 feet
Applying cross multiplication:
[tex]8x = 5.25(128)[/tex]
[tex]x = \frac{5.25(128)}{8}[/tex]
[tex]x = 84[/tex]
The height of the lighthouse is of 84 ft.
A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153
please help and show your work please
Answer:
[tex]m=-8[/tex]
Step-by-step explanation:
[tex]2m+6=-10\\2m=-16\\m=-8[/tex]
Invisible Steps:
Subtract 6 on each side:
[tex]2m+6-6=2m[/tex]
[tex]-10-6=-16[/tex]
Divide by 2 on each side:
[tex]2m[/tex] ÷ [tex]2=m[/tex]
[tex]-16[/tex] ÷ [tex]2=-8[/tex]
What are the coordinates of the point on the line 6x-5y=8 that is closest to the origin.
Answer:
(0,-1.6) and (1.3,0)
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
2 and 3
Step-by-step explanation:
20/12 = 1.6666666
15/9 = 1.6666666
One evening, 2/3 of Mrs. Thorne’s students watched a reality television show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show: Which teacher has more students watch the reality show?
Answer:
They both had the same amount of students watch the reality show.
Step-by-step explanation:
To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.
For Mrs. Thorne's:
36 * (2/3) = 24 students
For Mrs. Lombardo's:
30 * (4/5) = 24 students
24 = 24 so they had an equal amount of students from each class watch the reality show.
A listing of observed values and the corresponding frequency of occurrence of each value is called a
Answer: frequency
Step-by-step explanation:
Use intercepts to graph the equation -x+5y=5
hit test
Students were surveyed about their preference between dogs and cats. The following two-way table
displays data for the sample of students who responded to the survey.
How many students in the sample were female?
students
Preference
Male
Female
Prefers dogs
36
20
Prefers cats
10
26
No preference
2
6
Report a problem
Answer:
52
Step-by-step explanation:
add the columns with the female opinions (2 + 26 + 6)
then you get 52
Could someone help answer number 1 please
what is a trinomial?
Answer:
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
Answer:
An algebraic expression of three terms
Step-by-step explanation:
A trinomial consists of 3 terms connected to one another by + or - sign(s).
Examples: x^2 - 2x - 5 is a trinomial: Its 3 terms are arranged in descending order by powers of x.
Han and Priya were making a kite. Han cut out a piece of fabric so
that there were 2 short sides of the same length on top and
2 long sides of the same length on the bottom. Priya cut 2 pieces
of wood to go across the diagonals of the kite. They attached the
wood like this:
Han asked Priya to measure the angle to make sure the pieces of
wood were perpendicular. Priya said, "If we were careful about
the lengths of the sides of the fabric, we don't need to measure
the angle. It has to be a right angle."
Complete Priya's explanation to Han.
A kite is a quadrilateral which has two equal adjacent sides. Therefore measuring the lengths accurately would make the pieces of wood perpendicular. Since the diagonals of a kite are at right angle to each other.
Quadrilaterals are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.
A kite is a shape which has adjacent sides to have equal lengths. It has two diagonals, and one line of symmetry.
The lengths of the sides of the fabric being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a kite are always perpendicular. Thus measuring the angles as suggested by Han is not necessary.
Visit: https://brainly.com/question/21979359
The 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.
Since Priya said to Han that "If we were careful about the lengths of the sides of the fabric, we don't need to measure the angle. It has to be a right angle."
Priya used the properties of a kite.
Since from the properties of a kite, two pairs of sides are equal. Also, since thes two pairs of sides are equal, the diagonals from the vertices of the kite intersect at right-angles.
So, as Priya said to Han, the angle made by the 2 pieces of wood have to be right angles if the sides are measured correctly, since the diagonals intersect at right angles.
So, the 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.
Learn more about kites here:
https://brainly.com/question/2279713
Find the length of side x to the nearest tenth.
х
600
30°
17
Answer:
5.3
Step-by-step explanation:
Stare at the triangle for a bit. And try to add another one sharing the unmarked angle. You end up with an equilateral triangle. It means [tex]\sqrt7[/tex] is half the hypotenuse, At this point,
3(x-4)=2(-2x+1) please help
Answer:
[tex]\boxed{\boxed{\sf x=2}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(x-4\right)=2\left(-2x+1\right)[/tex]
Expand, Apply Distributive property:
→ [tex]\sf 3x-12=-4x+2[/tex]
Add 12 from both sides:
→ [tex]\sf 3x-12+12=-4x+2+12[/tex]
→ [tex]\sf 3x=-4x+14[/tex]
Add 4x from both sides:
→ [tex]\sf 3x+4x=-4x+14+4x[/tex]
→ [tex]\sf 7x=14[/tex]
Divide both sides by 7:
→ [tex]\sf \cfrac{7x}{7}=\cfrac{14}{7}[/tex]
→ [tex]\sf x=2[/tex]
______________________________________
7.5t= 45 Solve this.
Answer:
t = 337.5
Step-by-step explanation:
(7.5) * 7.5t = 45 * (7.5)
t = 337.5
Just some simple algebra, please mark me brainliest!
Aubree is making different shades of pink paint to use for an art project. A batch of dark pink uses 2.5 cups of red paint and 1.5 cups of white paint. A batch of light pink uses 0.75 cup of red paint with 1.25 cups of white paint. She begins with a gallon of red and a gallon of white paint. How much of each color paint will she have left if she makes a batch of dark pink and light pink every day for a week?
Answer:
Cups of red paint for a batch of dark pink - 2.5
Number of gallons of red paint that she starts with - 1
Cups of red paint for a batch of light pink - i did not get that one
Step-by-step explanation:
Like terms can be ________
this is fill - up question
Answer:
.the same variables and same powers
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
HOPE IT HELPS...............
What is the volume of a sphere with a surface area of 64 pi cm^2?
16 pi cm^3
21 1/3 pi cm^3
48pi cm^3
85 1/3 pi cm^3
Answer:
Hello, have a great day.
Answer:
85 1/3 pi cm3 I hope this helps.
What is the y intersect. Pls help
Answer:
total shipping cost
Step-by-step explanation:
which of the following theorems proves that abc~def?
Answer:
D but read below.
Step-by-step explanation:
I take it that the symbol ~ stands for similar. If that is so, then the answer you want is AA, because if 2 angles in a triangle are equal, then all 3 are. So if any 2 equal angles in one triangle are equal to 2 angles in another, then the two triangles are similar.
√(7+√(24))÷2+√(7−√(24))÷2
Answer:
The exact form is √(7+√(24))÷2+√(7−√(24)) over 2. The decimal form is 2.44948974....
Step-by-step explanation: Hope this will help you! :D
please help and show work
Answer:
When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.
In which quadrant does the point (-4, -5) lie?
Answer:
Quadrant 3
Step-by-step explanation:
3rd quadrant. because both x and y are negative
Brian, Pip and Sara share some sweets in the ratio 4:2:1. Brian gets 45 more sweets than Sara. How many sweets are there altogether?
Answer:
105 sweets
Step-by-step explanation:
4×15 = 60
2×15=30
1×15=15
60-15 =45
60+30+15=105
i need help with all of this please
round off 86 625 mm to the nearest significant figure
answer.
86 630
explanation.
86 62|586 630y varies jointly as x and z. If y = 12 when x = 4 and z = 3, find y when x = 9 and z = 8.
Answer:
y = 72
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 12 when x = 4 and z = 3
12 = k × 4 × 3 = 12k ( divide both sides by 12 )
1 = k
y = xz ← equation of variation
When x = 9 and z = 8 , then
y = 9 × 8 = 72
Which division problem is modeled
Answer:
The first one
Step-by-step explanation:
if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.
What is the y-intercept of the graph below?
Answer:
the y intercept is 2
Step-by-step explanation:
we can see this because the line crossed the 2 on the y axis line
I NEED HELPP!!!
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
_______________________________________________
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
I will mark most brainlest whoever gets it right for me :)))
Sorry I can't help you :(
Breanna thought of a number, divided it by 5, and then added 7 to her answer. She got a final number of 11. What was her starting number?
Answer:
the answer is 20
Step-by-step explanation:
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