Write an equation for each word problem. Then solve.
1. Konrad has $57 in his change jar and adds $3 each week. In how many weeks will the change jar have more than $72?
2. Omar needs at least $2,150 to buy a used car. He already has $1,800 saved in his bank account. If Omar saves an additional $35 a week, in how many weeks will he have saved enough to buy his car?
1.
Let w be the number of weeks it takes for Konrad to have more than $72.
The equation we can derive is 57 + 3w > 72.
Then solve:
57 + 3w > 72
3w > 15
w > 5
Then w must be 6, which is the next number greater than 5.
2.
Let w be the number of weeks it takes Omar to have enough money for the car.
The equation we can derive is 1800 + 35w \(\geq\) 2150.
Then solve:
1800 + 35w \(\geq\) 2150
35w \(\geq\) 350
w \(\geq\) 10
Then w must be 10.
will mark brainliest please help:)
a rental clothing store is running the following incentive offers customers.
Answer:
Amount left over after the discount:
Option 1: $82
Option 2: $39.25
Option 3: $62.8
Step-by-step explanation:
B) Option 2
Clearly, you would have to spend less money after the discount and it provides you with more money to be saved.
Sorry if Im wrong
What is the angle made by the hour hand and the minute of the clock at 8:57
Answer:
85 degrees
Step-by-step explanation:
7,623 divided by 32 with a REMAINDER DO IT ON PAPER!
90.12 increased by 6% then decreased by 6%
Answer:
795568
Step-by-step explanation:
90.12*1.06 = 95.5272
95.5272*0.94 = 89.795568
Easy
Answer:
95.5272 after increase
90.12 after decrease
Step-by-step explanation:
6% of 90.12 is 5.4072. Add it to 90.12 for the increase and subtract it for the decrease
Javier wants to prove that triangle MNP is similar to triangle RSP.
What missing piece of information does Javier need to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate?
A. Javier needs to know the measure of angle P.
B. Javier needs to know the measure of angle M.
C. Javier needs to know the measure of angle S.
D. Javier needs to know that segment MN is parallel to segment SR.
Answer:
Step-by-step explanation:
In triangles MNP and RSP, if there are two pairs of corresponding angles that are congruent or equal, it means that
triangle MNP is similar to triangle RSP. The corresponding angles in both triangles are
P corresponding to P
M corresponding to R
N corresponding to S
Therefore, the missing piece of information that Javier needs to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate is
A. Javier needs to know the measure of angle P.
Answer:
D. Javier needs to know that segment MN is parallel to segment SR.
Step-by-step explanation:
(I know this is old, but I wanted to answer if anyone else comes to this.)
If Javier does not know if segment MN is parallel to segment SR, he would not be able to prove that the two triangles were similar.
Numerele a,b,c sunt rationale si verifica egalitatea 3a+4b=c-36. Determinati cele trei numere daca a si b sunt direct proportionale cu 4 si 3,iar b si c sunt invers proportionale cu 0,24 si 0,01
Answer:
a/4 = b/3 = k
a=4k
b=3k
0.24=24/100=6/25
0.01=1/100
6b/25 = c/100 = k'
b=25k'/6=3k =>k'=18k/25
c=100k'=72k
Step-by-step explanation:
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
Infinitely many solutions exist because the two situations describe the same line.
Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
Small number = S
Number = N
N = 2S + 3
N = 2(S+1)
N = N
2S + 3 = 2(S + 1)
2S + 3 = 2S + 2
-2S -2S
3 = 2
No solutions
Therefore...
"No solutions exist because the situation describes two lines that have the same slope and different y-intercepts." is correct
Geometry
Answer with a proper explanation
Answer:
15 sides
Step-by-step explanation:
As we know the full angles of a polygon is 360°
And
Each side has angle 24°
So,
n = 360/24
n = 15 sides
I hope my answer helps you.
I WILL MARK BRAINLIEST IF CORRECT
Answer:
The answer is D 55.7 my friend
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Can someone just complete these 4 questions, short and easy! Mathematics
help help help meeeee freee pats or hugs :3
What is the lateral surface area of the square pyramid represented by this net?
Enter your answer in the box.
Answer: 120
Step-by-step explanation:
Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 79200 miles in 18 hours. The graph below represents the number of miles,
Answer:
4400
Step-by-step explanation:
I think this is right sorry if its not. Have a good night, sorry if im late.
Answer:
4600 miles
Step-by-step explanation:
You want to know the difference in miles per hour between a satellite traveling 45000 miles in 5 hours and one traveling 79200 miles in 18 hours.
Miles per hourThe speed in miles per hour is the ratio of miles to corresponding hours. The difference in miles traveled in one hour will be ...
A speed - B speed
45000 mi/(5 h) - 79200 mi/(18 h) = 4600 mi/h
Explorer B travels 4600 fewer miles in an hour than Explorer A.
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Write an algebraic expression for the word expression.
the sum of 7 and a number x
The expression is
Answer:
7+x
Step-by-step explanation:
find your first term, 7, and your second term, x, and combine them, 7+x
Allan is ordering a set of rational numbers that includes positive values, negative values, fractions, and decimal numbers. How can he order them?(15 points)
Answer:
First, Allan should write the fractions as decimals by dividing the numerator by the denominator. Then he can plot the points on the number line. Reading the plotted points from left to right gives the points in order, from least to greatest.
step explanation:
A car can be assembled on an assembly line in 6 hours. Assume that the cars are assembled at a constant rate.
. a. How many cars, y, can be assembled in t hours?
b. How many cars can be assembled in a week?
Answer:
a. \(y = \frac{t}{6}\)
b. y = 28
Step-by-step explanation:
\(y = \frac{t}{6}\)
1 day = 24 hours
1 week = 7 days
In 24 hours:
\(y = \frac{24}{6}\)
y = 4
4 cars/day
In 1 week
\(y =(7)(\frac{24}{6})=7*4\)
y = 28
2. The lengths of two insects are given below.
Ladybug: 10 millimeters
Walking stick: 30 centimeters
What is the difference in length of these two insects in millimeters
A 70 mm
B 20 mm
C 290 mm
D 2,990 mm
The conversion rate of millimetres to centimetres is 10 = 1 (Meaning 10 millimetres will equal one centimetre).
Knowing this, we can convert the centimetres to millimetres by multiplying by 10.
30 x 10 = 300
So a walking stick is 300 millimetres long.
To find the difference, we need to subtract the larger number from the smaller one.
300 - 10 = 290
Therefore the answer is 290mm.
Hope this helps! :)
25.34 times 1,000 = ??
PLEASE SHOW AND/OR EXPLAIN YOUR WORK ON HOW YOU GOT THE ANSWER
Answer:
Step-by-step explanation:
25.34
x 1,000
——————
253,400
Karl has worked on job sites at approximately 200 different stadiums with his construction company. If each of the stadiums can hold approximatey 8\times10^48×10
4
, find the combined capacity of all 200 stadiums Karl has worked at. Express the answer in scientific notation.
O 16 x 10^8
O 1.6 x 10^6
O 1.6 x 10^7
O 1.6 x 10^7
Answer:
Answer is C
Step-by-step explanation:
8x10^4=80000 then multiply by 200=16000000
1.6x10^7=16000000
so that makes the answer C hope I helped
write the phrase as an expression. Then evaluate when y=20.
3 less than the quotient of a number y and 4
Expression:
When y=20, the value of the expression is
.
Expand to write an equivalent expression:
---------------------------------------------------------------------------------------
(15 points for ~ 2 questions and answers)
Answer:
(- 1/2 * -2x) + (-1/2 * 4y)
(-1/4 * -8x)+(-1/4 * 12y)
Step-by-step explanation:
Hope this helps :)
Use the best-fit line below to predict the value of y when x = 7
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
need answer for these qyestion
thank you for asking me this question
Anyone want to help me with this please?
Answer:
Step-by-step explanation:
∠EHG=∠EHF+∠FHG=90°
∠EHF=∠FHG+12°
2∠FHG+12°=90°
2∠FHG=78°
∠FHG=39°
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
What mixed number represents 30/8
Answer:
3 6/8
Step-by-step explanation:
30÷8=3 6/8
8×3=24
30-24=6
Answer:
The mixed that represents 30/8 is --> 3 3/4
Step-by-step explanation:
Step 1: Find the whole number
We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.
30/8= 3.75 = 3
Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.
Step 2: Get the new numerator
To work this out we'll use the whole number we calculated in step one (3) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:
30 - (8 x 3) = 6
Step 3: Our mixed fraction
We've now simplified 30/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
3 6/8
Step 4: Simplifying our fraction
In this case, our fraction (6/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 6 and 8 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
6/2 = 3
8/2 = 4
When we put that together, we can see that our complete answer is:
3 3/4