Answer:
Each large box weighs 15.25 kg, and each small box weighs 6.25kg
Step-by-step explanation:
Let's define the variables:
A = weight of a large box.
B = weight of a small box.
We know that:
"A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms."
We can write this as:
5*A + 3*B = 95 kg
We also know that:
"A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms."
2*A + 6*B = 68kg
Then we have the system of equations:
5*A + 3*B = 95 kg
2*A + 6*B = 68kg
To solve this, the first step is to isolate one of the variables in one of the equations.
I will isolate the variable A in the second equation:
A = 68kg/2 - 6*B/2 = 34kg - 3*B
A = 34kg - 3*B
Now we can replace this in the first equation:
5*( 34kg - 3*B) + 3*B = 95 kg
170kg - 15*B + 3*B = 95 kg
170kg - 12*B = 95 kg
170kg - 95kg = 12*B
75kg = 12*B
75kg/12 = B = 6.25kg.
Now we can replace this on the equation A = 34kg - 3*B to find the value of A.
A = 34kg -3*6.25kg = 15.25kg
Please help ASAP !!
Answer: surface area is 215.27; volume is 297.1
Step-by-step explanation:
you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3
PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
Answer: g it is 2x+21 ansd h is 3x+24
Step-by-step explanation:
The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
a. 3x - 4
b. 4 - 3x
c. 4x - 3
d. 3x + 4
e. 3 - 4x
Write the equation in slope-intercept form. y=7(x+2)+3x
A. y=10x+14
B. y=−10x+14
C. y=9x+15
D. y=−9x+15
Answer: y = 10x+14 (choice A)
===================================
Work Shown:
y = 7(x+2)+3x
y = 7x+7*2+3x ..... distribute
y = 7x+14+3x
y = (7x+3x)+14
y = 10x+14
This is in y = mx+b form with m = 10 as the slope and b = 14 as the y intercept.
Answer: The answer is A (y=10x+14)
It takes 77 pounds of seed to completely plant a 10-acre field. How many pounds of seed are needed per acre?
Answer:
7
Step-by-step explanation:
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Look at picture.
Approximate how many times greater Saturn's mass is than Mercury's.
A) 200,000
B) 2,000,000
C) 2,000
D) 20,000
Answer:
2000 times
Step-by-step explanation:
Given
Sara:
[tex]Mercury = 3.302 * 10^{23[/tex]
[tex]Saturn = 5.685 * 10^{26[/tex]
Sam:
[tex]Mercury = 3.302 * 10^{29[/tex]
[tex]Saturn = 5.685 * 10^{32[/tex]
To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:
[tex]Times = \frac{Saturn}{Mercury}[/tex]
Using Sara's measurement; this gives:
[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]
Apply law of indices
[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]
[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]
[tex]Times = 5.685/3.302 * 10^3[/tex]
[tex]Times = 1.72 * 10^3[/tex]
Approximate
[tex]Times = 2 * 10^3[/tex]
[tex]Times = 2000[/tex]
If three times a number is increased by 4, the result is -8. Determine the number.
Answer:
Step-by-step explanation:
let the number is x
3x+4=-8
3x=-8-4
3x=-12
x=-4
What is the approximate length of the missing side in the triangle below?
13.9 mi.
19.0 mi.
21.3 mi
25.4 mi
Answer:
[tex]21.3\:\mathrm{mi}[/tex]
Step-by-step explanation:
The Law of Cosines is given as the following:
[tex]c^2=a^2+b^2-2ab\cos C[/tex].
Plugging in given values and solving, we get:
[tex]c^2=15^2+18^2-2\cdot 15\cdot 18\cdot \cos 80^{\circ},\\c\approx \fbox{$21.3\:\mathrm{mi}$}[/tex]
Answer:
C: 21.3
Step-by-step explanation:
b = √a2 + c2 - 2ac·cos(B) = 21.33612
Find the solution of these two equations. Y=1/5x-7 and y=-x-1
Answer:For the first one it would be x=35
And the 2nd one would just be x=-1
Step-by-step explanation:
11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles
Answer: B
Step-by-step explanation:
Please help! I'll mark brainliest!! :)
Answer:
Area = 201 1/4 yard^2
Or in decimal form: 201.25 yard^2
Step-by-step explanation:
First convert the mixed numbers into improper fractions or even decimal form so it is easier to operate with them:
Base = 11 1/2 yards = 23/2 yards = 11.5 yards
Height = 17 1/2 yards = 35/2 yards = 17.5 yards
Use the formula for the area of a parallelogram:
Area = Base x Height
which in our case give:
Area = 23/2 x 35/2 = 805/4 yard^2 = 201 1/4 yard^2
Or in decimal form: 201.25 yard^2
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System Of Equations:
Solve by substitution:
y = x + 3
7x - y = 3
Group of answer choices
(1 , 4)
(-1 , -4)
(-1 , 4)
(1 , -4)
Answer:
(1, 4)
Step-by-step explanation:
subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3
get rid of the (), which you will get 7x-x-3=3
combine like terms and get 6x-3=3
move 3 to the other side and divide both sides by 6 and get x=1
use the first equation y=x+3 and subsitude 1 for x and get y=1+3
y=4
Which of the following describes a simple event?
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Option D is correct, tossing a coin 3 times is a simple event.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A simple event is a single outcome or result of an experiment or probability experiment.
In option D, the simple event is tossing a coin once and getting either a heads or a tails.
Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).
However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.
In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.
Hence, Option D is correct, tossing a coin 3 times is a simple event.
To learn more on probability click:
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if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180
Answer:
The answer is 80 :)
Step-by-step explanation:
Which is greater: pi or -3?
Answer:
> -3
Step-by-step explanation:
Pi can be simplified down to 3.14. That is a positive number. -3 is a negative number. Because positive numbers are greater than negative numbers, pi > 3.
Answer:
Pi
Step-by-step explanation:
pie is 3.14 which is a positive number
any positive number is greater than a negative number. pi>-3
HELP!!! WILL GIVE BRAINLIEST!!!
If a line passes through the points (3,5) and (1, 2), its slope is_______.If
necessary, use the slash (/) to indicate a fraction.
Answer:
answer: The formula is
(Y2-y1) /(x2-x1)
(3-1)/(5-2)
2/3
Step-by-step explanation:
Have a good day;-)
Which equation represents the relationship between x and y in the table below?
x 0,2,4,6
y 1, 2, 3, 4
a. y=1/2x+1
b. y=x+1
c. y=x-2
d. y=-1/2x+1
Answer:
a
Step-by-step explanation:
if it’s wrong i’ll change it when i’m done with this quiz
PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL MARK BRAINLEIST
Stephanie checked the temperature in her house when she woke up. After 3 3/4 hours, the temperature had increased by 10 1/2 degrees. Assuming that the temperature rose at a constant rate, by how many degrees did the temperature in Stephanie’s house increase each hour?
FAST PLEASE A school assembly had 98 students in attendance, and 50% of them were first-graders. How
many first-graders were at the assembly?
Answer:
49
Step-by-step explanation:
50% is basically half so divide 98 by 2
A square gate has a brace 3.5 feet long.
Approximately how wide is the gate?
F. 2.0 feet
3.5 ft
G. 2.5 feet
H. 4.9 feet
J. 6.1 feet
Answer
Answer:
h
Step-by-step explanation:
given the function f(x)=5x-3/4,which of the following is correct?
Answer:
3) [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Answer: A
Step-by-step explanation:
4.1
The following dot plot shows the number of
players at each table in Bill's Bingo Hall. Each
dot represents a different table.
.
:
0 1 2 3 4 5 6 7 8
Number of players
What is the highest number of players at a
table?
players
Answer:
0
Step-by-step explanation:
When the following fraction is reduced, what will be the exponent on the n?
A square is defined to be a quadrilateral with four congruent sides and four right
angles. Additionally, squares have two pairs of parallel sides,
Choose all of the quadrilaterals that accurately complete the following statement:
A square is a special
Answer:
Step-by-step explanation:
a square is a special rectangle and a parallelogram , and a rhombus
At a camping site, there are 3 yellow canoes for every 5 blue canoes. What percentage of the canoes are blue?
Answer:
60%
Step-by-step explanation:
Percentage of blue canoes = [tex]\frac{3}{5}[/tex] × 100%
= 60%
Calculate the value of the expression -8 x -3/4
A. 6
B. -6
C. 4
D. -4
E. -7
Answer:
A
Step-by-step explanation:
- 8 × - 3 = 24 ÷4=6
this is the right answer
Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.
Answer:
x=2 and y=0.
Step-by-step explanation:
Answer:
[tex]x=-1,\\y=-1[/tex]
Step-by-step explanation:
We can write the following system of equations as given:
[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].
Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].
Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].
Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]
Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15
Answer:
b.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
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Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.
Answer: There is a strong association between age and weight.
Step-by-step explanation:
The correlation coefficient (r) is used to describe the relationship between two variables.
[tex]-1\leq r\leq1[/tex]
If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.
Here, Variables: Age and weight.
correlation coefficient = 0.512
That means, there is a strong association between age and weight.