Answer:
48, 28 respectively
Step-by-step explanation:
You would find the pattern for both.
1) 42, 43, 45, ?, 52
the pattern is +1, +2, +3, +4
42 + 1 = 43 +2 = 45 + 3 = 48 + 4 = 52
42, 43, 45, 48, 52
2) 23, ?, 33, 38, 43
the pattern is to add 5
23 + 5 = 28 + 5 = 33 + 5 = 38 + 5 = 43
23, 28, 33, 38, 43
A line that includes the points (-5, 7) and (g, -6) has a slope of -1. What is the value of g?
Answer:
g = 8
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
-1 = (-6 -7) / (g +5)
-1= -13/x + 5
-1(x+5)= -13
-x - 5 = -13
-x = -8
x = 8
The sum of four consecutive integers is 390. Find the integers (Please show your work)
Answer:
The integers are 96, 97, 98, and 99
Step-by-step explanation:
first integer = x
second integer = x+1
third integer = x+2
fourth integer = x+3
(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time
The sum (add them all up) is (=) 390 so
x+(x+1)+(x+2)+(x+3) = 390
4x+6=390
4x+6-6=390-6
4x=384
4x/4=384/4
x=96
x+1=97
x+2=98
x+3=99
The integers are 96, 97, 98, and 99
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
What is the price of rice per gram?
Answer:
The price of rice per gram is 0.006$
Step-by-step explanation:
I. David wants to make 10 servings,
each require 75 g of rice and 5 spice. When ratio is 15:1
If rice : spice = 75 : x
15x = 75
x = 5
=> 5 * 15 : 1 * 5
= 75 : 5
So rice : spice is 75 : 5
II. When 1 serving require 75 : 5
So 10 servings is 10 * 75 : 5 * 10
= 750 : 50
So he must has 750 grams rice and 50 grams spice.
III. He must buy spice and rice which..
a) He has 40 grams spice, he'll buy for 10 grams spice.
b) He has no rice, he'll buy for 750 grams rice.
But the question only ask for price of rice which he spend 4.5$
= [tex]\frac{4.5}{750}[/tex]
= 0.006$
In 1 gram of rice he spend 0.006$
If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true
That makes 0.006$ is the right answer.
Hope that help :)
please help me~~......
Step-by-step explanation:
vyo yesko solutions yeti matra xa
Dividing fractions word problems 1 1 A 16-kilometer stretch of road needs repairs. Workers can repair 2- kilometer of road per week. 4 How many weeks will it take to repair this stretch of road? Weeks Stuck? Reviews related articles/videos or use a hint.
Answer:
8 weeks
Step-by-step explanation:
16km is the total, 2km is what is completed in a single (1) week.
so our equation is 16÷2
Week 1: 2km
Week 2: 4km
Week 3: 6km
Week 4: 8km
Week 5: 10km
Week 6: 12km
Week 7: 14km
Week 8: 16km (final)
Write each equation in slope intercept form. underline the slope and circle the y intercept in each equation 5x + 3y = 30
Answer:
y=-5/3x+10
Step-by-step explanation:
slope is -5/3 and the y int. is 10. Hope this helps!
Can someone please tell me is it correct?
Answer:
It is correct :)
Step-by-step explanation:
help me please!
-3+|x-2| > 5
Answer:
x<-6 or x>10
Step-by-step explanation:
-3+|x-2|>5
add 3 to both sides
|x-2|>8
x-2>8
x>10
There are 2 answers because it is absolute value.
It can't be 10, so the only other option is -6.
|x-2|>8
|-6-2|=8
|-8|=8
Apply absolute rule. If |u| > a, u < -a
because one of the answers is -6, it has to be x<-6
For the function k(x)=-1/16x-8 what is the inverse function of k^-1(x)?
Answer:
k^-1(x) = -1/128+16x
Domain = ]-infinity,-8[ U ]-8,infinity[
Range = ]-infinity,0[ U ]0,infinity[
Step-by-step explanation:
k(x) = -1/16x = -8
y = -1/16x = -8
x = -1/16y = -8
y = -1/128+16x
k^-1(x) = -1/128+16x
Answer:
D
Step-by-step explanation:
e2021 on god
A carton measures 200 cm by 100 cm by 100 cm.
The carton is to be completely filled with boxes.
Each box measures 50 cm by 20 cm by 20 cm.
Work out the number of boxes which can completely fill the carton.
Answer:
the answer is below
Step-by-step explanation:
multiply like this
L×b×hWhat is the measure of ∠ABC?
Answer:
not sure
Step-by-step explanation:
I'm not sure how to do this guys I am very sorry for the inconvenience
Step-by-step explanation:
brother or sister whoever you are, please try to post the full question.
State whether the lines are parallel, perpendicular, coinciding, or neither: y=2.5x+3 and y=5/2x
Answer:
gok jhtgrfedcfrgtyhu57i86i8ujyhg
Step-by-step explanation:
If j= 14, find the value of 1/2j.
Answer:7
Step-by-step explanation:
1/2 of j is the same as j ÷ 2
14 ÷ 2 = 7
Simplify the ratio. Use values in terms of the smaller measurement units.
6 feet to 80 inches
Step-by-step explanation:
1 ft = 12 in
=>
6 ft = 12×6 = 72 in
so, the given ratio is
6 ft / 80 in = 72 in / 80 in = 9/10 in
Brainliest Question!!
Q1.) 5929 students are sitting in an auditorium in such a manner that there as are many students in a row as there are rows in the auditorium. How many rowsare there in the auditorium?
Answer:
77 rows
Explanation:As per the provided information in the given question, we have :
Total number of students sitting in the auditorium = 5929 studentsThere are as many students in a row as there are rows in the auditorium.We've been asked to calculate the number of rows in the auditorium.
Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.
Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.
Writing it in the form of a linear equation,
[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]
As there are 5929 students sitting in the auditorium.[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]
Now, put the square root symbol on both sides.[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]
Square root of x² is x since x × x is x².[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]
Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.
[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]
Therefore, there are 77 rows in the auditorium.
Write an equation in Point-Slope form for a line that passes through the points (-10,8) & (-20,-12)
surprise i need help again
the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.
Simplify these epressions.
g(x)=(x-2)^2 + 1
Explain the transformation
Answer: The graph of g(x) will be shifted 2 units left and 1 unit down compared to the parabola, f(x).
Step-by-step explanation:
Write the equation of a line perpendicular to the line 2x + 3y = 12 and passes through (9, -2). (fractions go in one box - use lower case letters)
Answer:
Step-by-step explanation:
Write the equation of the line perpendicular to 2x-3y=12 that passes through the point (16,-7)
Rewrite the equation as y = (2/3)x - 4 This has slope 2/3
A perpendicular line will have slope -3/2 so the equation of a perpendicuar line is y = -(3/2)x + c where c is a constant found from the fact that the line must go through point (16, -7).
-7 = -(3/2).16 + c
c = 24 - 7
c = 17
Hence perpendicular line has equation y = -(3/2)x + 17
Maddie is making pineapple punch for her birthday party. The recipe says you need 3 cups of pineapple juice for every 4 cups of ginger ale. If she uses 16 cups of ginger ale, how much pineapple juice will she need?
Answer:
12 cups of pineapple juice for 16 cups of ginger ale.
Step-by-step explanation:
4+4+4+4= 16
3+3+3+3= 12
Juan drove to the shore and traveled 32 km in 2 hours. He stopped for 8 hours and contained driving 60 km arriving at his destination in 4 hours. What is his average speed?
Answer:
Step 1: The formula for distance is
Distance = Rate × Time
Total distance = 32 × 3 + 60 × 4 = 624
Step 2: Total time = 2 + 4 = 6
Step 3: Using the formula:
average speed formula
624/6 = 104
Step-by-step explanation:
HELP! Work out the question below.
Step-by-step explanation:
area of circle = πr²
radius ² = 9.15 = 83.72 (approx.)
now,
→ 22/7 × 83.72
→ 22 × 11.96 = 263.02 m²
therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².
hope this answer helps you dear..take care and may u have a great day ahead!
Jonathon has a collection of coins worth a total of $10.75. If he has one-fourth as many dimes as pennies, and two-thirds as many dimes as nickels, how many of each coin does Jonathon have?
The number of dimes, pennies and nickels are required.
The number of dimes is 50, pennies is 200 and nickels is 75.
Let the number of dimes be [tex]x[/tex]
From the question the number of dimes is one-fourth the number of pennies and two-thirds the number of nickels.
So,
The number of pennies is [tex]4x[/tex]
and number of nickels is [tex]\dfrac{3}{2}x[/tex]
1 nickel = 0.05$
1 penny = 0.01$
1 dime = 0.01$
Total value of the coins is $10.75
[tex]0.1x+0.05\times \dfrac{3}{2}x+0.01\times 4x=10.75\\\Rightarrow 0.215x=10.75\\\Rightarrow x=\dfrac{10.75}{0.215}\\\Rightarrow x=50[/tex]
The number of dimes is 50.
The number of pennies is [tex]4x=4\times50=200[/tex]
The number of nickels is [tex]\dfrac{3}{2}x=\dfrac{3}{2}\times50=75[/tex].
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f(x) =4 over x - 3
g(x) =x - 2 over x
(a) Express the inverse function f −1
in the form f ^-1 (x)
Step-by-step explanation:
[tex]f(x) = \frac{4}{x - 2} \\ g(x) = \frac{x - 2}{x} [/tex]
[tex] {f}^{ - 1} (x) ... \\ x = \frac{4}{y - 2} \\ y - 2 = \frac{4}{x} \\ {f}^{ - 1} (x) = \frac{4}{x} + 2[/tex]
[tex] {g}^{ - 1} (x)... \\ x = \frac{y - 2}{y} \\ xy = y - 2 \\ xy - y = - 2 \\ y(x - 1) = - 2 \\ {g}^{ - 1} (x) = \frac{ - 2}{x - 1} [/tex]
What is the x-intercept of the line 2x -3y = -6?
Answer:
The x-int is 3/2y - 3 (x=3/2y-3)
Step-by-step explanation:
2x-3y=-6
2x=3y-6
x=3/2y-3
Damon skateboards from his house to school 4 miles away. It takes him 20 minutes to get to school.
How many minutes will it take Damon to skateboard to his friend Stefan's house, which is 2 1/2 miles from school, if he travels at the same rate that he did from his house to school.
Answer:
about 12 1/2 minutes
each mile he went to school took him 5 minutes and if his friend's house is 2 1/2 miles away then 2.5x5= 12.5
======================================================
Work Shown:
20 min = 20/60 = 1/3 of an hour
distance = rate*time
d = r*t
4 mi = (x mph)*(1/3 hr)
4 = x*(1/3)
4*3 = x
x = 12 mph
Damon's speed is 12 mph
--------------
Now calculate the time it takes go travel to his friends house.
d = r*t
2.5 = 12*t
t = (2.5)/12
t = 25/120
t = (5*5)/(5*24)
t = 5/24
He takes 5/24 of an hour to go from school to Stefan's house.
Multiply by 60 to convert to minutes
(5/24)*60 = 12.5 minutes
Calvin kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what are the domain and range in the context of this problem?
Refer to the attachment
Cross products: what’s the value of the cross product?
Can someone please tell me the answer to this
Answer:
x equals to 5
jist cross multiply
A contractor bought 10.8 ft2 of sheet metal. has used 3.5 ft2 so far and has 146$ worth of sheet metal remaining. The equation 10.8x-3.5x=146 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
A contractor bought 10.8 ft2 of sheet metal. has used 3.5 ft2 so far and has 146$ worth of sheet metal remaining. The equation 10.8x-3.5x=146 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
6 Ella is a salesperson for a cosmetics company. She is paid $500 per week and a commission of 3% on sales in excess of $800.
What does Ella earn in a week in which she makes sales of $600?
The total amount that Ella earned in a week in which she made sales of $600 is; $500
How to solve Algebra Word problems?The parameters given about Ella who is a salesperson are;
Amount paid per week = $500
Commission on sales exceeding $800 = 3%
Total sales for the week = $600
From the parameters above, we see that she didn't make sales exceeding the commission limit of $800 and as such she didn't earn any extra commission.
Therefore her weekly pay was still $500
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