Joshua wanted to know the distance between two cities. The scale on the map was 1/2 in = 10 km. The distance between the cities on the map was 2 1/4 in. What was the actual distance between the cities?
Step-by-step explanation:
remark : it is very unusual for a map to mix two measurement norms. they are normally either fully in the American or fully in the metric system.
but let's do the exercise.
the scale says 1/2 in = 10 km
but our measurement on the map brought us quarter inches.
so,
1/2 in = 2/4 in = 10 km
therefore
1/4 in = 10/2 = 5 km
now,
2 1/4 = 9/4 in
this is 9 times 1/4.
therefore, the distance between the 2 cities is
9 × 5 = 45 km.
y over 11 =8 .solve for y
Answer:
y=88
Step-by-step explanation:
Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.
Answer:
it would be the last one
Step-by-step explanation:
lmk if you want an explanation
The mass of a an atom of helium is 6.65 x 10−24. Use scientific notation to express the mass of 250 helium atoms. A) 1.6625 x 10−21 B) 1.6625 x 10−22 C) 1.6625 x 10−24 D) 1.6625 x 10−26
Answer: its A
Step-by-step explanation:
i know this is it
It takes 82 pounds of seed to completely plant 11 acre field. How many ponds of seed are needed per acre?
Answer:
7.5lbs
Step-by-step explanation:
82/11 = 7.45454545lbs
Rounded to 7.4lbs
Hope that helps
Answer:
7 5/11
Step-by-step explanation:
you divide 82 and 11 and you get 7.45454545
Chris wants to order DVDS over the internet. Each DVD costs $12.99 and shipping order costs $9.99. If he can spend no more than $100 how many DVDs can he buy?
Answer:
4
Step-by-step explanation:
I think its 4 because the max DVD's he could have bought if shipping was free was 7 but since shipping is not free,he has to equal the amount so 12.99+9.99= 22.98 and the maximum multiplication by 22.98 with the maximum number as 100 would be 91.92, thats my answer
4. Tomas uses 12 gallons of water to prepare lemonade for a party. The lemonade recipe states that for every 2 quarts of water, he should add cup of lemon juice and cup 1 of sugar. How much lemon juice does Tomas need?
Answer:
Thomas will need 24 cups of lemon juice.
Step-by-step explanation:
There are 4 quarts in every gallon.
12 x 4 = 48
2 cups of lemon juice for every 2 quarts of water.
48 / 2 = 24
Hope This Helps!
Find the slope of the line.
22 loaves of bread have 506 slices of bread how many slices of bread do 6 loaves have
Answer:
138 slices
Step-by-step explanation:
506 / 22 = 23 slices per loaf
23 x 6 = 138 slices
There are 28 girls and 21 boys in a class. What is the ratio, in simplest terms, of the number of girls to the number of boys? (show the work please)
Answer: The simplified ratio is 4:3
Step-by-step explanation:
To find the ratio of the number of girls to the number of boys, we can divide the number of girls (28) by the number of boys (21) to get:
28 ÷ 21 = [tex]\frac{28}{21}[/tex]
Next, we can simplify the fraction further to get [tex]\frac{4}{3}[/tex], which equals 4:3.
The given triangles are similar. Find x.
Answer:
9
Step-by-step explanation:
Each side is being multiplied by 1.5.
3 times 1.5 is 4.5.
7 times 1.5 is 10.5.
6 times 1.5 is 9.
Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each angle relationship with the appropriate reason. Vertical angles theorem Alternate exterior angles theorem linear pair Alternate interior angles theorem Corresponding angles theorem same-side interior angles m_HED = m_FE) mKFE = m_FEJ MZLFG = MADEH
The angle relationship and their reasons are:
m∠HED = m∠FEJ ---> Vertical angles theoremm∠KFE = m∠DEH ---> Alternate interior angles theoremm∠LFG = m∠DEH ---> Alternate exterior angles theoremm∠JEF + m∠LFE = 180° ---> same-side interior angles theoremm∠DEJ = m∠EFL ---> Corresponding interior angles theoremm∠LFG + m∠GFK = 180 ---> linear pairThe angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
m∠HED = m∠FEJ ---> Vertical angles theorem∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
m∠KFE = m∠DEH ---> Alternate interior angles theorem∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
m∠LFG = m∠DEH ---> Alternate exterior angles theorem∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
m∠DEJ = m∠EFL ---> Corresponding interior angles theorem∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
m∠LFG + m∠GFK = 180 ---> linear pairLearn more about angle relationship on:
https://brainly.com/question/12591450
f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation
Step-by-step explanation:
Given:
f(x) = x² and g(x) = (x - 9)² + 3If g is the translation of f then it is:
g(x) = f(x - 9) + 3This is a shift right 9 units and up 3 units
Answer:
Yes
Step-by-step explanation:
f(x)=x²
y=x²Shift nine units right
y={x-9)²Shift 3 units up
g(x)=(x-9)²+3Pls look at the picture for question.
Answer:
-5, -2, 3, 4
They are in the correct order already :)
Step-by-step explanation:
They greater a negative number is the less it becomes and positive numbers are always greater than negative ones.
Good luck :)
What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1
Casey borrowed $4500 at a 5% interest rate for 4 years.
What was the total interest?
Enter your answer in the box.
Hint: Use the formula l=P*R*T where
I= Interest Earned/Owed
P= Principal
R= Rate
T= Time
Answer:
$900
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
I = PRT
I = ($4500)(0.05)(4) = $900
The total interest was $900.
[tex]\large\tt\green{Answer}[/tex]
The total interest was $900[tex]\large\tt\green{Step-by-step \: explanation}[/tex]
Step 1:
Put the numbers in the formula and do the arithmetic.
I = P × R × TI = $4500 × 5% × 4Step 2:
Rename 5% into decimal
I = P × R × TI = $4500 × 0.05 × 4Step 3:
Solve the problem with the full solution.
I = P × R × TI = $4500 × 5% × 4I = $4500 × 0.05 × 4I = $ 900Therefore, the total interest was $900
What is the area of the composite figure
Monica paid sales tax of $1.40 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge for the bike helmet before tax?
Divide 140 by 7 and you get 20, so Monica spent 20$ in order to pay a 1.40 sales tax
Renee worked a total of 16 1/5 hours last week. She spent 1/3 of that time reviewing reports. How many hours did she spend reviewing reports?
Answer:
Step-by-step explanation:
First 1 ÷ 5 ×16
= 3.2
Then 3.2 × 1 ÷ 3
= 1.06
Plz help if understand this problem
This is the same as typing in 0.5x^7
Other equivalent forms are (1/2)x^7 or (x^7)/2
=====================================================
Work Shown:
[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]
I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).
Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.
Two trains are traveling at a constant rate. Which train has the greater speed?
Use slopes and y-intercepts to determine if the lines 5x−5y=5 and 5x−5y=−5 are parallel.
They are parallel because they have the same slopes (5x)
Subtract 38¢ from $5.60. Include the dollar sign and no spaces in your answer.
Answer:
5.22
Step-by-step explanation:
Answer:
its easy, just subtract 50 - 38 = 22 so its $5.60
(your welcome and math makes me notalisgica :) )
Step-by-step explanation:
Decide whether the following statement makes sense or does not make sense. The weights of babies born at Belmont Hospital are normally distributed with a mean of 6.8 pounds and a standard deviation of 7 pounds.
Answer:
yeah that makes sense to me
Can someone help me please
Answer:
31.25
Step-by-step explanation:
Divide 250 by 8=31.25
12*100 please do it im in a hurry
Answer: 1200
Step-by-step explanation:
12*100 = 1200
Add the two 0’s in 100 to the end of 12 and get 1200
Is 0.136 greater or least to 0.23?
Answer: least
Step-by-step explanation: because 0.23 is closer to 1
Least
If you removed the last term from 0.136, it would become 0.13
Compared to 0.25, it is lower.
Estimate. Then divide. check for reasonableness 25,600 divided by 25.
Answer:
Step-by-step explanation:
For each computer Isabella sells, she earns a 5% commission. If she sells 3 computers for
$985.00 each, what is her commission?
$14.78
b. $49.25
$147.75
a.
C.
A chef prepared 100 plates of shrimp. There were 8 shrimp on each plate. How many shrimp did the chef prepare?
Answer:
800 shrimp
Step-by-step explanation:
100 plates of shrimp
8 shrimp on each plate
100 × 8 = 800
= 800 shrimp were prepared by the chef
Hope this helps.