Answer:
2([tex]5^{2}[/tex])-5
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
2x5^2-(4+1)
2x25-5
50-5
45
Solve: 6x = -24 and x/7 = 3
Answer:
1) x = -4
2) x = 21
Step-by-step explanation:
6x = -24
6/6x=-24/6
x=-4
and
x/7 = 3
x/7*7=3*7
x=21
2 Kate biked 9 miles north to the park, then 4
miles west to the mall. How far is Kate
from her starting point?
Mary has 15 points with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there
Answer:
The number of nickel coins is 10 and the number of quarter coins is 5
Step-by-step explanation:
The correct question is
Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there
Let
x ----> the number of nickel coins
y ----> the number of quarter coins
Remember that
[tex]1\ nickel=\$0.05[/tex]
[tex]1\ quarter=\$0.25[/tex]
we know that
Mary has 15 coins
so
[tex]x+y=15[/tex] -----> equation A
The total value of the coins is $1.75
so
[tex]0.05x+0.25y=1.75[/tex] ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (10,5)
therefore
The number of nickel coins is 10 and the number of quarter coins is 5
How is the Distributive Property used to simplify operations with scientific notation
Answer:
See explanation
Step-by-step explanation:
Let a,b, and c be real numbers.
The distributive property says that:
[tex]a(b + c) = ab + ac[/tex]
Assuming we want to simplify:
[tex]10(5*10^{-1}+150*10^{-3})[/tex]
We apply the distributive property to get:
[tex]10(5*10^{-1}+150*10^{-3}) = 5*10^{-1} \times 10+150*10^{-3} \times 10[/tex]
We can now use rules of exponents to simplify further:
[tex]10(5*10^{-1}+150*10^{-3}) = 5*10^{-1} \times 10^{1} +150*10^{-3} \times 10^{1} [/tex]
[tex]10(5*10^{-1}+150*10^{-3}) = 5*10^{-1 + 1} +150*10^{-3 + 1}[/tex]
[tex]10(5*10^{-1}+150*10^{-3}) = 5*10^{0} +150*10^{-2}[/tex]
[tex]10(5*10^{-1}+150*10^{-3}) = 5*1+1.50*10^{-2}x {10}^{2} [/tex]
[tex]10(5*10^{-1}+150*10^{-3}) = 5*1+1.50*10^{-2 + 2}[/tex]
[tex]10(5*10^{-1}+150*10^{-3}) = 5+1.50*10^{0} = 6.5 \times {10}^{0} [/tex]
On a scale drawing the scale is 1/2 inch=1 foot what are the dimensions on the scale drawing for a room that is 22 feet by 17 feet
Hey there! I'm happy to help!
We have a room that is 22 by 17 feet. We know that for every foot, we draw a 1/2 inch. This means that we need multiply our dimensions by 1/2 to find the dimensions of the drawing.
22×1/2=11
17×1/2=8.5
Therefore, the dimensions of the room are 11 feet by 8.5 inches. These are the dimensions of a normal white paper!
Have a wonderful day! :D
To convert the actual room dimensions of 22 feet by 17 feet to a scale drawing with a scale of 1/2 inch equals 1 foot, the length becomes 11 inches, and the width becomes 8.5 inches in the drawing.
When creating a scale drawing, the dimensions of the actual room need to be converted into scale dimensions. According to the scale given, which is 1/2 inch equals 1 foot, the actual room dimensions of 22 feet by 17 feet should be converted using this scale ratio.
To do this conversion, each actual dimension must be divided by the scale factor. The scale factor is determined by the number of feet that are represented by 1/2 inch. Since 1/2 inch is equivalent to 1 foot, the scale factor is 1 foot per 1/2 inch. Therefore, we calculate the dimensions as follows:
Length: 22 feet / 1 foot per 1/2 inch = 22 x 1/2 inches = 11 inches
Width: 17 feet / 1 foot per 1/2 inch = 17 x 1/2 inches = 8.5 inches
Thus, the dimensions on the scale drawing for a room that is 22 feet by 17 feet would be 11 inches by 8.5 inches.
An apartment complex has a total of 175 units. Of these, 154 units are occupied. What percent of the apartment are unoccupied?
Answer:
12%
Step-by-step explanation:
There are a total of 175 units in an apartment complex.
Out of which, 154 units are occupied.
Now, we have to find the percentage of the apartment which are unoccupied.
So, the number of units that are not occupied is (175 - 154) = 21.
Hence, the percentage of the number of unoccupied units of the apartment complex will be [tex]\frac{21}{175}\times 100 \% = 12 \%[/tex] (Answer)
erin makes $18 an hour. she works 40 hours a week. she found an apartment for $1,000 a month. Should erin rent the apartment?
Answer:
Based on her monthly income YES
Step-by-step explanation:
18 × 4 = $720 a week and 720 × 4 = $2,880 a month
The rent for the apartment is $1,000 if Erin rent this place she will have an extra =1,880 for her living expenses after she pays for the rent so there would be no problem of her renting the place.
VERY VERY VERY VERY VERY URGENT!!?!!???
These triangles are similar.
True
False
Answer:
True
Step-by-step explanation:
Population in Millions
World: 7,691
Canada: 37.4
What percent of the 2019 world population lives in Canada? Round the percentage to three decimal places.
Answer:
0.486% of world population lives in Canada.
Step-by-step explanation:
Given: World Population= 7691 million.
Canada Population= 37.4 million.
Now, finding the percentage of world population lives in Canada.
[tex]Population\ percentage= \frac{Canada\ population}{World\ population} \times 100[/tex]
⇒ [tex]Population\ percentage= \frac{37.4}{7691} \times 100[/tex]
⇒ [tex]Population\ percentage= 0.00486\times 100[/tex]
∴ [tex]Population\ percentage= 0.486\%[/tex]
Hence, 0.486% of world population lives in Canada.
___ are unique substances that form when two or more elements combine chemically ?
A compound is a unique substance that forms when two or more elements combine chemically. It always has the same elements in the same proportions.
if I know A B C equals d e f can you stay B C equals ef
if the interior angle ofa regular polygon is 162° how many sides does it have
Answer:
20 sides.
Step-by-step explanation:
The exterior angle = 180 - 162 = 18 degrees.
Since the sum of the exterior angles = 360 degrees the number of sides
= 360 / 18
= 20 sides.
Each pair of polygons is similar. Find the values of x and y
x = 14 and y = 10
Explanation:Two shapes are similar if they have the same form but not necessarily the same size. In other words, when shapes are similar they are in proportion. Since you haven't provided any diagram, I'll choose two irregular polygon that are similar as indicated in the figure below. So we can calculate both x and y with proportions as follows:
[tex]For \ x: \\ \\ \frac{x}{7}=\frac{16}{8} \\ \\ x=\frac{7\times 16}{8} \\ \\ x=14 \\ \\ \\ For \ y: \\ \\ \frac{y}{20}=\frac{8}{16} \\ \\ y=\frac{8\times 20}{16} \\ \\ y=10[/tex]
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The minor arc measures of circle Z are shown in the figure.
Circle Z is shown. Radii Z Y, Z X, Z W, Z V, Z U, and Z T are shown. The arc measure of Y X is 71 degrees, the arc measure of X W is 32 degrees, the arc measure of W V is 71 degrees, the arc measure of V U is 78 degrees, the arc measure of U T is 54 degrees, and the arc measure of T Y is 54 degrees.
Use the drop-down menus to complete each statement.
Answer:
Part 1) Option a. TZY
Part 2) Option c. YZX
Step-by-step explanation:
The question is as following and see the attached figure
The minor arc measures of circle Z are shown in the figure.
Use the drop-down menus to complete each statement.
1) Angle UZT is congruent to angle _____
2) Angle VZW is congruent to angle____
Answer choices
1) a. TZY, b. XZW, c. VZW
2) a. UZV, b. TZY, c. YZX
===============================================
Solution:
Part 1) Angle UZT is congruent to angle______
From the attached figure, we can deduce that:
∠UZT = 54°
∠TZY = 54°
So,
∠TZY = ∠UZT ⇒ both angles are congruent.
1. Angle UZT is congruent to angle TZY
===========================================
Part 2) Angle VZW is congruent to angle_____
From the attached figure, we can deduce that:
∠VZW = 71°
∠YZX = 71°
So,
∠YZX = ∠VZW ⇒ both angles are congruent
2. Angle VZW is congruent to angle YZX
Answer: correct answer is TZY for first one and YZX for second
Step-by-step explanation:
Just chose those and got it correct :)
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The percent bar graph shows how students get home from school. if 80 students were surveyed, how many students take a car to school?
30
24
16
20
Step-by-step explanation:
Given, Total number of students is 80.
and 30% of the total students take a car to school
30% of 80
[tex]=\frac{30}{100}\times 80[/tex]
=24
Therefore 24 students take a car to school.
Answer:
24 students take a car to school
there are 45 green cars and bkack cars. the green cars are 27 more than the black. how many are green cars?
Answer:
18
Step-by-step explanation:
45-27=18
Answer:
18
Step-by-step explanation:
subtract 45 and 27 it gives u 18
A person paid $60 for a vase at an estate auction. She resold it to an antiques dealer for $40. What was her profit or loss?
Answer:loss 20
Step-by-step explanation:
She lost 20
Step-by-step explanation:
60 take away 40 is 20
Please answer number 1
Step-by-step explanation:
[tex] \triangle \: ABC \cong \triangle \: FED[/tex]
Here, all the sides or angles of triangle ABC are congruent to the corresponding sides or angles of triangle FED. As both triangles are reflections of each other.
Marco buys a certain brand of shampoo from a supplier at 7.25 dollars per bottle .He sells it at a markup of 25 percent. What is the markup .
Final answer:
Marco buys shampoo at $7.25 per bottle and sells it with a 25% markup, making the markup $1.81 per bottle. The selling price, therefore, is $9.06 per bottle.
Explanation:
The question is about calculating the markup applied by Marco on a bottle of shampoo. Marco buys the shampoo at $7.25 per bottle and sells it at a markup of 25 percent. The markup is calculated based on the cost price of the product. In this case, to find the markup amount, we use the formula: Markup = Cost Price * Markup Percentage. So, the markup on each bottle of shampoo is $7.25 * 0.25 = $1.81. Therefore, Marco applies a $1.81 markup on each bottle of shampoo.
To determine the selling price, one can add the markup to the cost price, which would be $7.25 + $1.81 = $9.06. This is Marco's selling price per bottle after applying the 25 percent markup.
What numbers are divisible by 2 and 5 but not 3
Answer:
10 20 40
Step-by-step explanation:
I am interested in a new van that costs $32,500. The salesman says he will give it to me for $27,950. What is the percent discount he is giving me?
Answer:
The salesman is giving you a 14% discount
Step-by-step explanation:
Do 27950/32500 to get 0.86
Then do 1-0.86=0.14
Multiply by 100 to get 14%
Hope this helped!
what is the vertex of the quadratic function below y=3x^2-12x+17
Answer:
(2, 5 )
Step-by-step explanation:
Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 3x² - 12x + 17 ← is in standard form
with a = 3 and b = - 12, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{-12}{6}[/tex] = 2
Substitute x = 2 into the function for corresponding value of y
y = 3(2)² - 12(2) + 17 = 12 - 24 + 17 = 5
vertex = (2, 5 )
What is 9.7% expressed as a decimal
Answer:
0.097
move your decimal to the left twice
Given m angle A = 35°, and b = 4.2, find c. Show all work.
Answer:
[tex]c=5.1\ units[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the measure of angle B
we know that
In the right triangle ABC
[tex]m\angle A+m\angle B=90^o[/tex] ---> by complementary angles in a right triangle
we have
[tex]m\angle A=35^o[/tex]
substitute
[tex]35^o+m\angle B=90^o[/tex]
[tex]m\angle B=90^o-35^o=55^o[/tex]
step 2
Find the length side c
Applying the law of sines
[tex]\frac{c}{sin(C)}=\frac{b}{sin(B)}[/tex]
substitute the given values
[tex]\frac{c}{sin(90^o)}=\frac{4.2}{sin(55^o)}[/tex]
[tex]c=\frac{4.2}{sin(55^o)}=5.1\ units[/tex]
A box contains 5 blue pens and three black pens you chosse one pen at random do not replace it and then choose a second pen at random what is the probability that both pens are blue
Answer:
4
Step-by-step explanation:
U will add 5 plus 3 and then divide 8 by 2
Answer:4
Step-by-step explanation:
Two joggers run 8 miles north and 5 miles west . what is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point ?
Answer:9.4 miles
Hope this helps
2y = 4
-x = -3
What is the solution to this system of equations?
Answer:
The solution to the system of equations given is (3, 2)
Step-by-step explanation:
Let's solve the system of equations given:
2y = 4
-x = -3
****************
2y = 4
y = 4/2
y = 2
____________________
-x = - 3
x = 3
The solution to the system of equations given is (3, 2)
The solution to the system of equations is x = 3 and y = 2.
Explanation:To solve this system of equations, we can use the method of substitution or elimination. Let's solve it using the substitution method.
From the first equation, we can solve for y:
2y = 4
y = 4/2
y = 2
Now, substitute this value of y into the second equation:
-x = -3
x = 3
So the solution to this system of equations is x = 3 and y = 2.
Solve for k.
6 1
2k - 6 - 3
Answer:
k = 6.
Step-by-step explanation:
k = 6
2k = 12
12 - 6 - 3 = 3
k = 1
2k = 2
2 - 6 - 3 = -7
So, the answer is k = 6 because it makes more sense.
As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write and solve a linear equation to find the number of small rafts you can rent if you rent 12 large rafts.
Answer- You can get 10 Small rafts
12 x 100+ 1200
1600-1200=400
400/40 =10 Rafts
A linear equation representing the given situation and the number of small rafts is required.
The required equation is [tex]100x+40y=1600[/tex]
The number of small rafts will be [tex]10[/tex]
Cost of one large raft = $100
Cost of one small raft = $40
Total amount to spend = $1600
Let the number of large rafts be [tex]x[/tex]
and small rafts be [tex]y[/tex]
The equation will be
[tex]100x+40y=1600[/tex]
The number of large rafts [tex]x=12[/tex]
[tex]100\times 12+40y=1600\\\Rightarrow y=\dfrac{1600-100\times 12}{40}\\\Rightarrow y=10[/tex]
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21. Higher Order Thinking Amil and Abe
rode in a bike-a-thon. Abe rode for 77 minutes
at a faster rate per mile than Amil. Find Amil's
unit rate. Then explain how you could use it to
find a possible unit rate for Abe.
Amil rode 15 miles
in 55 minutes.
Amil's unit rate is calculated by dividing the distance traveled (15 miles) by the time in hours (0.917 hours), resulting in approximately 16.36 mph. Abe's unit rate is faster but cannot be precisely determined without more information about his distance or time.
Explanation:Amil rode 15 miles in 55 minutes. To find Amil's unit rate, we divide the total distance by the total time. The unit rate is a measure of speed, indicating how many miles are traveled in one minute. To find this unit rate, we perform the following calculation:
Convert the time from minutes to hours to find the unit rate in miles per hour (mph), since speed is often expressed this way: 55 minutes × (1 hour/60 minutes) = 0.917 hours
Divide the distance by the time: 15 miles ÷ 0.917 hours = 16.36 mph (rounded to two decimal places).
Amil's unit rate is approximately 16.36 mph. This information can be used to estimate Abe's unit rate, knowing that Abe rode at a faster rate. If we knew how far Abe rode or his unit rate in miles per minute, we could compare the two directly. Without additional information about Abe's distance or time, we can only say that Abe's unit rate exceeds 16.36 mph.