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Jaden combined blueberries and raspberries in a bowl. For every 3 tablespoons of
blueberries he added to the bowl, he also put in 2 tablespoons of raspberries.
What is the ratio of blueberries to raspberries in the bowl?
a 2:3
b. 3:2

Answer:

king need 12m by 5m 12×5 =

60

Step-by-step explanation:

look up and read

Men are more likely to download and use , but women use both sides of the brain while men only use the left for visual or spatial expression. So, There is a relationship between gender and intended major.

Based on the given conditions,

Differences in applications (apps) downloaded by men and women.

Men are more likely to download and use , whereas women tend to use more than men.

So,

We can write,

According to studies comparing the brain activity of men and women,

Therefore,

Men are more likely to download and use , but women use both sides of the brain while men only use the left for visual or spatial expression. So, There is a relationship between gender and intended major.

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Answer: It is the amount they raise each week

350 is the amount they started with

Then, options C and E are correct

Then, option A isn't correct

Then, option D isn't correct

The value of the angle m∠2 = 67°.

Angle may be defined as the space between two lines. An angle consists of a vertex with which the angle is extended. When sum of two angles is exactly 90°, they are called complementary angles. For example, if we have two angles a and b then, ∠a + ∠b = 90°. When sum of two angles is exactly 180°, they are called supplementary angles. For example, if we have two angles a and b then, ∠a +∠b =180°. According to the given question ∠1 is a complement of ∠2 and we know when two angles are complementary to each other sum of their angles is 90°. So,

m∠1 + m∠2 = 90°

Now, m∠1 = 23°

23° + m∠2 = 90°

m∠2 = 90° - 23°

m∠2 = 67° which is required angle.

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When there are 800 students at the school, the students that can be expected to Participate in the science fair is 320 students.

It should be noted that an expression is used to illustrate the relationship in the data or regarding the variables given.

In this case, the lonestar middle school picks out of 5 randomly selected students participate in the science fair.

When there are 800 students, the number of students picked will be:

= Fraction × Total students

= 2/5 × 800

= 320 students.

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Check the picture below.

so we really have two twin triangles pretty much

[tex]\stackrel{\textit{area of both triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{9})(\underset{h}{4}) \right]\implies \text{\LARGE 36}}[/tex]

The old price at which dora bought 20 liters of petrol is $0.30 per liter.

Given, dora bought 20 liters of petrol at old price.

The cost of petrol rises by 2 cents later.

Then she bought 10 liters at the new price.

Altogether the petrol costs = $9.20

old price for 1 liter = ?

let the old price for 1 liter of petrol be x.

Based on the conditions , we formulate:

20x+10(x+2)=920

20x+10x+20=920

30x+20=920

30x=920-20

30x=900

x=900/30

x=30

x=$0.30

hence the old price of the petrol is $0.30 per liter.

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The amount that Aaliyah will pay for monthly payment for the computer is 43.21.

From the information, it should be noted that Aaliyah bought a computer for 382.68 including tax she has already saved 37.00 and wants to pay the rest of in 8 equal monthly payments.

Therefore, the following can be deduced:

Total amount = 382.68

Amount saved = 37.00

Let the monthly payment be represented as x. Therefore, the equation will be:

37 + (8 × x) = 382.68

37 + 8x = 382.68

Collect like terms

8x = 382.68 - 37

8x = 345.68

Divide

x = 345.68 / 8

x = 43.21

The monthly payment is 43.21

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Answer: x≤-60

Step-by-step explanation:

Subtract -15 to isolate X:

[tex]\ \ \ 15 + x \leq -45 \\-15 \ \ \ \ \ \ \ \ -15\\[/tex]

      [tex]x \leq -60[/tex]

a. The equation of a parallel line with a y intercept of 4 is:

y=5x+4

b. The equation of a line parallel line with a y intercept of -2 is:

y=5x-2

c. Since they have same slope and different intercepts, so the answers to part a and b are also parallel.

a. Given, the given straight line equation is: y=5x-1 eq(1)

hence the slope of the line is m=5

The required line is parallel to (1) so its slope is also same.

m = 5 and the y intercept is 4.

By using y = mx + c form the equation of the required line is:

y = 5x+4

b.  The given straight line equation is: y=5x-1 eq(1)

hence the slope of the line is m=5

The required line is parallel to (1) so its slope is also same.

m = 5 and the y intercept is -2.

By using y = mx + c form the equation of the required line is:

y = 5x-2

c. If two lines have different y-intercepts and equal slopes, then they are said to be parallel. Hence answers to part a and part b are said to be parallel.

Hence we get the desired equations.

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Answer: 1.7×10*4×8.5×10*-2= 1445

Step-by-step explanation:

The question must be written as follows:

1.7×10∧4×8.5×10∧-2=

(1.7×10000×8.5)÷100

=144500÷100=1445

The value of the first term is - 8.

Given that:-

Sum of the first 26 terms for an arithmetic sequence = 1417.

Sum of the first 8 terms for the same arithmetic sequence = 76.

We have to find the value of the first term.

We know that,

Sum of first n terms of an AP is given by:-

S(n) = (n/2)(2a + (n - 1)d)

Where,

n is the number of terms,

a is the first term and,

d is the common difference.

Hence,

S(26) = 1417 =  (26/2)(2a + (26 - 1)d) = 13(2a + 25d) = 26a + 325d

S(8) = 76 = (8/2)(2a + (8 - 1)d) = 4(2a + 7d) = 8a + 28d

Here we have two equations:-

26a + 325d = 1417  ...(1)

8a + 28d = 76  ....(2)

Multiplying (1) by 4 and (2) by 13 , we get

104a + 1300d = 5668

104a + 364d = 988

Subtracting and eliminating a , we get,

936d = 4680

d = 4680/936 = 5

Substituting d = 5 in (2), we get

8a + 28(5) = 76

8a + 140 = 76

8a = 76 - 140

8a = -64

a = -64/8 = -8

Hence, the first term is -8.

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Answer:bdf

Step-by-step explanation:

yes

Answer:

600mL

Step-by-step explanation:

1 Milliliter = 0.001 L

x < 18 is the solution to the inequality -13 < 5 - x.

Given the inequality in the question;

To solve the inequality, move all terms containing variable to the left side and the constant to the right side of inequality.

-13 < 5 - x

Add 13 to both sides

-13 + 13 < 5 + 13 - x

0 < 5 + 13 - x

Add 5 and 13

0 < 18 - x

Now, add x to both sides

0 + x < 18 - x + x

-x and x cancel out

0 + x < 18

x < 18

Therefore, the solution is x < 18.

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Answer:

1

Step-by-step explanation:

i don;t know

The equation that represents the linear relationship between each x- and y-coordinate is: y = x - 2.

For a linear relationship between x and y coordinate, an equation in slope-intercept form that can be created is expressed as y = mx + b.

Find the slope (m) using any two pairs of values, (1, 0) and (3, 2):

Slope (m) = (2 - 0)/(3 - 1)

Slope (m) = 2/2

Slope (m) = 1

Find the y-intercept by substituting m = 1 and (x, y) = (1, 0) into y = mx + b:

0 = 1(1) + b

0 = 2 + b

-2 = b

b = -2

Write the equation of the relation by substituting m = 1 and b = -2 into y = mx + b:

y = x - 2

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The relationship Mandy made with coordinate points is y = x - 1.

an x-y coordinate is a 2D plane in which we can plot points of x and y together to make a coordinate. We can graph lines or any 2D figure using x-y coordinates.

We determine the relationship between x and y we'll go with the

hit-and-trial method.

At x = 1, y = 0.

At x = 11 , y = 10.

We can observe that y is one less than x, this can be represented as,

y = x - 1.

To cross-check out the equation can put given values of x and y and check whether it satisfies our equation or not.

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Answer:

90 degree counter-clockwise

Step-by-step explanation:

Answer:

[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]

Step-by-step explanation:

Find the total area of the shape   [tex](5x+6)(3x)[/tex]

And subtract the non-shaded area [tex](4x-3)(2)[/tex]

To get this equation:

[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]

In the given figure, BC is the Adjacent side. This is because the side is the closest side to the angle θ.

Using Trigonometry, we can also find out the measure of the ∠θ.

tan θ = opposite side / adjacent side

⇒ tan θ = 2/8 = 1/4

⇒ θ = tan^-1 (1/4)

⇒ θ = 0.245°

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Answer:

Reduction is correct

Scale factor is 0.5

Step-by-step explanation:

The distance from the point L to every point on the pink figure is 1/2 (0.5) times the distance from L to each of the corresponding points on the original figure

If scale factor < 1, it is a reduction

The rate at which the distance between the airplanes is changing is;

dC/dt = 320 mi/h

We are given;

The Speed of Airplane A; dA/dt = 200 mi/h

The Speed of Airplane B; dB/dt = 250 mi/h

Aircraft A and B will form a right-angled triangle because Aircraft A is flying east and Aircraft B is flying north, and we can use Pythagoras' theorem to calculate their distance from one another.

Let C be the distance.

Therefore;

C² = A² + B²

Differentiating the above equation with respect to t,

2C(dC/dt) = 2A(dA/dt) + 2B(dB/dt)

Dividing each side of the equation by 2,

C( dC/dt ) = A( dA/dt ) + B( dB/dt )

Where dC/dt is the rate of change in distance between the two aircraft.

Now,

C² = A² + B²

C = √(A² + B²)

Substituting, A = 30 miles and B = 40 miles;

C = √(30² + 40²)

C = √( 900 + 1600 )

C = √2500

C = 50 miles

Substituting the value in the equation C( dC/dt ) = A( dA/dt ) + B( dB/dt ),

50(dC/dt) = (30 × 200) + (40 × 250)

50(dC/dt) = 6000 + 10000

50 × dC/dt = 16000

dC/dt = 16000/50

dC/dt = 320 mi/h

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The distance that should be drwan on a scale plan of 1:100000 is = 32m

Distance can be defined as the area that is covered by the movement of an object without reference to its direction.

From the scale given,

1cm : 100000cm on the scale plan of the map

The given distance = 32km

Convert km to cm by multiplying by 100000

32km = 32× 100000 = 3,200,000

To determine the equivalent ratio,

1 cm = 100000

n cm = 3,200,000

n cm= 3,200,000/100000

n cm= 32cm

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Answer:

444.6 square yards.

Explanation:

• A regular hexagon is divided into 6 equilateral triangles.

• The apothem is the height of each equilateral triangle.

• The side length is the base of each triangle.

Thus, the area of the hexagon will be:

The area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards is 444.6 square yards.